FIR滤波

祎欣祎意 · 发表于 2024-9-30 16:01:19

我用第37章的例程进行FIR滤波，输入分别是50Hz和200Hz的波，想测试多少阶的滤波器系数会造成滤波失真，但是我操作采样频率48k，滤波器系数到10000阶还是不失真，这是为什么呢？

eric2013 · 发表于 2024-10-1 00:30:21

楼主用什么测试的，Matlab上测试的吗，方便的话，分享你的测试代码看下。

祎欣祎意 · 发表于 2024-10-7 10:15:57

应该是我理解错了，这个代码是实现一种滤波器功能的，不是进行实时滤波的，对吧
#include "bsp.h"
#include "arm_math.h"
#include "arm_const_structs.h"

#define EXAMPLE_NAME "FIR低通滤波器"
#define EXAMPLE_DATE "2024-07-23"
#define DEMO_VER "1.0"

/* 仅允许本文件内调用的函数声明 */
static void PrintfLogo(void);
/*static void PrintfHelp(void)*/;
static void arm_fir_f32_lp(void);

#define TEST_LENGTH_SAMPLES  10000 /* 采样点数 */
#define BLOCK_SIZE          1       /* 调用一次arm_fir_f32处理的采样点个数 */
#define NUM_TAPS          10001    /* 滤波器系数个数 */

uint32_t blockSize = 1;
uint32_t numBlocks = TEST_LENGTH_SAMPLES/BLOCK_SIZE;          /* 需要调用arm_fir_f32的次数 */

// 初始化输入输出缓冲区

static float32_t testInput_f32_50Hz_200Hz[TEST_LENGTH_SAMPLES]; /* 采样点 */
static float32_t testOutput[TEST_LENGTH_SAMPLES];             /* 滤波后的输出 */
static float32_t firStateF32[BLOCK_SIZE + NUM_TAPS - 1];       /* 状态缓存，大小numTaps + blockSize - 1*/
/*滤波器系数*/
const float32_t firCoeffs32LP[NUM_TAPS] =
{
};

static void arm_fir_f32_lp(void)
{
uint32_t i;
arm_fir_instance_f32 S;
float32_t  *inputF32, *outputF32;

/* 初始化输入输出缓存指针 */
inputF32 = &testInput_f32_50Hz_200Hz[0];
outputF32 = &testOutput[0];

/* 初始化结构体S */
arm_fir_init_f32(&S,
   NUM_TAPS,
                  (float32_t *)&firCoeffs32LP[0],
                  &firStateF32[0],
                  blockSize);

// 获取开始时间
uint32_t tickStart = DWT->CYCCNT;
for(i=0; i<TEST_LENGTH_SAMPLES; i++)//for(i=0; i < numBlocks; i++)
{
arm_fir_f32(&S, inputF32 + (i * blockSize),  outputF32 + (i * blockSize),  blockSize);
}

for(i=0; i<TEST_LENGTH_SAMPLES; i++)
{
printf("%f, %f\r\n", testOutput[i], inputF32[i]);
}

}

int main(void)
{
uint8_t ucKeyCode; /* 按键代码 */
uint16_t i;

bsp_Init(); /* 硬件初始化 */
PrintfLogo(); /* 打印例程信息到串口1 */

for(i=0; i<TEST_LENGTH_SAMPLES; i++)
{
testInput_f32_50Hz_200Hz[i] = arm_sin_f32(2*3.1415926f*50*i/48000)+arm_sin_f32(2*3.1415926f*200*i/48000);
}

bsp_StartAutoTimer(0, 100);    /*启动1个100ms的自动重装的定时器 */

/* 进入主程序循环体 */
while (1)
{
bsp_Idle(); // 调用底层软件包（BSP）的空闲处理函数，可能用于低功耗模式或处理后台任务。

if (bsp_CheckTimer(0)) // 检查到定时器0到期。
{

bsp_LedToggle(2);
}

ucKeyCode = bsp_GetKey(); // 从BSP获取按键输入。
if (ucKeyCode != KEY_NONE)
{
switch (ucKeyCode)
{
case JOY_DOWN_D:
arm_fir_f32_lp();// 如果按下的是JOY_DOWN_D按钮，执行一个名为arm_fir_f32_lp的函数，这可能是一个低通滤波器的函数。
break;

default:
break;
}
}

}
}

static void PrintfLogo(void)
{
  printf("* \r\n");
printf("*************************************************************\n\r");
printf("* \r\n");
printf("* 例程名称 : %s\r\n", EXAMPLE_NAME);
printf("* 实验日期  : %s\r\n", EXAMPLE_DATE);
printf("* HAL库版本  : STM32H7xx HAL Driver\r\n");
printf("* \r\n");
printf("*************************************************************\n\r");
printf("* \r\n");
}

eric2013 · 发表于 2024-10-7 10:18:13

祎欣祎意发表于 2024-10-7 10:15
应该是我理解错了，这个代码是实现一种滤波器功能的，不是进行实时滤波的，对吧
#include "bsp.h"
#incl ...

这个里面的内容和你的Matlab配置贴出来看下

/*滤波器系数*/
const float32_t firCoeffs32LP[NUM_TAPS] =
{
};

祎欣祎意 · 发表于 2024-10-7 10:26:17

6.65171566285e-07, 5.82532376298e-07,4.997050744198e-07,4.167111923243e-07,
  3.335723133369e-07,2.503100670347e-07,1.669461238319e-07,8.350218955397e-08,
  2.001695947403e-20,-8.353868450506e-08,-1.670920845656e-07,-2.506384071788e-07,
  -3.341558512038e-07,-4.176226128349e-07,-5.010168910784e-07,-5.843168932322e-07,
  -6.67500840364e-07,-7.505469727918e-07,-8.334335555594e-07,-9.161388839105e-07,
  -9.98641288758e-07,-1.080919142147e-06,-1.162950862709e-06,-1.244714921113e-06,
-1.3261898455e-06,-1.407354226908e-06,-1.48818672469e-06,-1.568666071911e-06,
  -1.648771080734e-06,-1.728480647787e-06,-1.807773759518e-06,-1.88662949752e-06,
  -1.965027043849e-06,-2.042945686312e-06,-2.120364823733e-06,-2.197263971196e-06,
  -2.273622765264e-06,-2.34942096917e-06,-2.424638477978e-06,-2.49925532372e-06,
  -2.573251680496e-06,-2.646607869547e-06,-2.719304364296e-06,-2.791321795347e-06,
  -2.862640955462e-06,-2.933242804486e-06,-3.003108474245e-06,-3.072219273403e-06,
  -3.140556692274e-06, -3.2081024076e-06,-3.274838287279e-06,-3.340746395055e-06,
  -3.405808995159e-06,-3.470008556906e-06,-3.533327759247e-06,-3.595749495266e-06,
  -3.657256876634e-06,-3.717833238011e-06,-3.777462141393e-06,-3.83612738041e-06,
  -3.893812984569e-06,-3.950503223442e-06,-4.006182610796e-06,-4.060835908671e-06,
  -4.114448131395e-06,-4.167004549542e-06,-4.21849069383e-06,-4.26889235896e-06,
  -4.318195607387e-06,-4.366386773034e-06,-4.413452464942e-06,-4.459379570848e-06,
  -4.504155260707e-06,-4.547766990142e-06,-4.590202503825e-06,-4.631449838794e-06,
  -4.671497327695e-06,-4.710333601963e-06,-4.747947594922e-06,-4.784328544817e-06,
  -4.819465997776e-06,-4.853349810698e-06,-4.885970154061e-06,-4.917317514665e-06,
  -4.947382698287e-06,-4.976156832275e-06,-5.00363136805e-06,-5.029798083539e-06,
  -5.054649085528e-06,-5.078176811938e-06,-5.100374034013e-06,-5.121233858438e-06,
  -5.140749729373e-06,-5.158915430399e-06,-5.175725086392e-06,-5.191173165311e-06,
  -5.205254479897e-06,-5.217964189297e-06,-5.229297800601e-06,-5.239251170291e-06,
  -5.247820505611e-06,-5.255002365848e-06,-5.260793663527e-06,-5.265191665523e-06,
  -5.268193994084e-06,-5.269798627765e-06,-5.270003902282e-06,-5.268808511273e-06,
  -5.26621150697e-06,-5.262212300789e-06,-5.256810663827e-06,-5.250006727272e-06,
  -5.241800982723e-06,-5.232194282426e-06,-5.221187839415e-06,-5.208783227567e-06,
  -5.19498238157e-06,-5.179787596792e-06,-5.163201529077e-06,-5.145227194436e-06,
  -5.125867968656e-06,-5.105127586819e-06,-5.083010142733e-06,-5.059520088266e-06,
  -5.034662232601e-06,-5.008441741394e-06,-4.98086413585e-06,-4.951935291697e-06,
  -4.921661438087e-06,-4.890049156401e-06,-4.857105378957e-06,-4.822837387648e-06,
  -4.787252812473e-06,-4.750359629995e-06, -4.7121661617e-06,-4.672681072277e-06,
  -4.631913367803e-06,-4.589872393853e-06,-4.546567833506e-06,-4.502009705286e-06,
  -4.456208360998e-06,-4.40917448349e-06,-4.36091908433e-06,-4.311453501393e-06,
  -4.260789396366e-06,-4.208938752177e-06,-4.155913870325e-06,-4.101727368149e-06,
  -4.046392175993e-06,-3.98992153431e-06,-3.932328990668e-06,-3.87362839669e-06,
  -3.813833904903e-06,-3.752959965521e-06,-3.691021323134e-06,-3.628033013338e-06,
  -3.564010359272e-06,-3.498968968087e-06,-3.432924727342e-06,-3.365893801322e-06,
  -3.297892627277e-06,-3.228937911605e-06,-3.159046625941e-06,-3.088236003194e-06,
  -3.016523533503e-06,-2.943926960127e-06,-2.870464275266e-06,-2.796153715817e-06,
  -2.721013759057e-06,-2.645063118267e-06,-2.56832073829e-06,-2.490805791022e-06,
  -2.412537670845e-06,-2.333535989992e-06,-2.253820573861e-06,-2.173411456258e-06,
  -2.092328874593e-06,-2.010593265008e-06,-1.928225257456e-06,-1.845245670725e-06,
-1.7616755074e-06,-1.677535948783e-06,-1.592848349752e-06,-1.507634233578e-06,
  -1.421915286682e-06,-1.335713353356e-06,-1.249050430426e-06,-1.161948661879e-06,
  -1.074430333435e-06,-9.865178670892e-07,-8.982338155977e-07,-8.096008569341e-07,
  -7.206417887003e-07,-6.313795225022e-07,-5.418370782869e-07,-4.520375786458e-07,
  -3.620042430836e-07,-2.71760382253e-07,-1.813293921606e-07,-9.073474834026e-08,
  -2.72514450794e-21,9.085123585982e-08, 1.81795280353e-07,2.728083986396e-07,
  3.638668058799e-07,  4.5494667321e-07, 5.46024133739e-07,6.370752885626e-07,
  7.280762127959e-07,8.190029616208e-07,9.098315763483e-07,1.000538090493e-06,
  1.091098535861e-06,1.181488948644e-06,1.271685375524e-06, 1.36166387979e-06,
  1.451400547446e-06,1.540871493341e-06,1.630052867286e-06,1.718920860184e-06,
  1.807451710148e-06,1.895621708627e-06,1.983407206524e-06,2.070784620307e-06,
  2.157730438117e-06,2.244221225867e-06,2.330233633329e-06,2.415744400212e-06,
  2.500730362229e-06,2.585168457147e-06,2.669035730818e-06,2.752309343204e-06,
2.83496657437e-06,2.916984830465e-06, 2.99834164968e-06, 3.07901470818e-06,
  3.158981826014e-06,3.238220972998e-06,3.316710274567e-06,3.394428017607e-06,
3.47135265624e-06,3.547462817597e-06,3.622737307538e-06,3.697155116352e-06,
  3.770695424409e-06,3.843337607781e-06,3.915061243822e-06,3.985846116701e-06,
  4.055672222905e-06,4.124519776682e-06,4.192369215453e-06,4.259201205167e-06,
  4.324996645617e-06,4.389736675693e-06,  4.4534026786e-06,4.515976287011e-06,
  4.577439388174e-06,4.637774128956e-06,4.696962920839e-06,4.754988444853e-06,
4.81183365645e-06, 4.86748179032e-06, 4.92191636514e-06,4.975121188269e-06,
  5.027080360366e-06,5.077778279955e-06,5.127199647913e-06,5.175329471895e-06,
  5.222153070691e-06,5.267656078506e-06,5.311824449171e-06,5.354644460287e-06,
  5.396102717285e-06,5.436186157415e-06,5.474882053661e-06,5.512178018575e-06,
  5.548062008031e-06,5.582522324902e-06,5.615547622657e-06,5.647126908873e-06,
  5.677249548664e-06,5.705905268027e-06,5.733084157106e-06,5.758776673364e-06,
  5.782973644669e-06,  5.8056662723e-06,5.826846133852e-06, 5.84650518606e-06,
  5.864635767531e-06,5.881230601378e-06,5.896282797772e-06,5.909785856392e-06,
  5.921733668785e-06,5.932120520631e-06,5.940941093911e-06,5.948190468982e-06,
  5.953864126549e-06,5.957957949546e-06,5.960468224914e-06,5.961391645281e-06,
  5.960725310545e-06,5.958466729353e-06,5.954613820478e-06,5.949164914104e-06,
  5.942118752997e-06, 5.93347449358e-06,5.923231706904e-06,5.911390379518e-06,
  5.897950914229e-06,5.882914130766e-06, 5.86628126633e-06,5.848053976048e-06,
  5.828234333317e-06,5.806824830041e-06,5.783828376767e-06,5.759248302709e-06,
  5.733088355674e-06,5.705352701869e-06,5.676045925614e-06,5.645173028939e-06,
  5.612739431082e-06,5.578750967867e-06,5.543213890992e-06,5.506134867193e-06,
  5.467520977317e-06,5.427379715268e-06,5.385718986867e-06,5.342547108589e-06,
  5.297872806199e-06,5.251705213283e-06,5.204053869667e-06,5.154928719732e-06,
  5.104340110625e-06,5.052298790355e-06,4.998815905798e-06,4.943903000578e-06,
  4.887572012858e-06,4.829835273017e-06,4.770705501224e-06,4.710195804911e-06,
  4.648319676136e-06,4.585090988848e-06,4.520523996047e-06,4.454633326837e-06,
  4.387433983387e-06,4.318941337778e-06,4.249171128761e-06,4.178139458405e-06,
  4.105862788648e-06,4.032357937755e-06,3.957642076669e-06,3.881732725267e-06,
  3.804647748523e-06,3.726405352568e-06,3.647024080658e-06,3.566522809053e-06,
  3.484920742786e-06,3.402237411361e-06,3.318492664338e-06,3.233706666841e-06,
  3.147899894967e-06,3.061093131116e-06,2.973307459219e-06,2.884564259888e-06,
2.79488520548e-06, 2.70429225507e-06,2.612807649345e-06,2.520453905412e-06,
  2.427253811525e-06,2.333230421734e-06,2.238407050445e-06,2.142807266916e-06,
  2.046454889664e-06,  1.9493739808e-06,1.851588840291e-06,1.753124000144e-06,
  1.654004218526e-06,1.554254473804e-06, 1.45389995852e-06,1.352966073301e-06,
  1.251478420695e-06,1.149462798948e-06,1.046945195716e-06,9.439517817096e-07,
  8.405089042875e-07,7.366430809806e-07,6.323809929641e-07,5.277494784716e-07,
  4.227755261546e-07,3.174862683882e-07,2.119089745261e-07, 1.06071044105e-07,
  -1.907258744106e-20,-1.062765184656e-07,-2.127307624563e-07,-3.193348806044e-07,
  -4.260609260307e-07,-5.328808634064e-07,-6.397665760528e-07,-7.466898730779e-07,
  -8.536224965476e-07,-9.605361286911e-07,-1.067402399136e-06,-1.174192892177e-06,
  -1.280879154064e-06,-1.387432700329e-06,-1.493825023125e-06,-1.600027598594e-06,
  -1.706011894257e-06,-1.811749376415e-06,-1.917211517577e-06,-2.022369803893e-06,
  -2.127195742611e-06,-2.231660869535e-06, -2.3357367565e-06,-2.439395018848e-06,
  -2.542607322918e-06,-2.645345393533e-06,-2.747581021489e-06,-2.849286071049e-06,
  -2.95043248743e-06,-3.050992304289e-06,-3.150937651202e-06,-3.250240761134e-06,
  -3.348873977902e-06,-3.446809763625e-06,-3.54402070616e-06,-3.640479526525e-06,
  -3.736159086297e-06,-3.831032395003e-06,-3.925072617477e-06,-4.018253081203e-06,
  -4.110547283628e-06,-4.201928899448e-06,-4.292371787866e-06,-4.381849999822e-06,
  -4.470337785182e-06,-4.557809599899e-06,-4.644240113135e-06,-4.729604214347e-06,
  -4.813877020324e-06,-4.897033882189e-06,-4.979050392358e-06,-5.059902391444e-06,
  -5.139565975121e-06,-5.218017500933e-06,-5.295233595051e-06,-5.371191158983e-06,
  -5.445867376216e-06,-5.51923971881e-06,-5.591285953931e-06,-5.661984150319e-06,
  -5.731312684695e-06,-5.799250248106e-06,-5.865775852195e-06,-5.930868835415e-06,
  -5.994508869159e-06,-6.056675963828e-06,-6.117350474819e-06,-6.176513108444e-06,
  -6.234144927764e-06,-6.290227358351e-06,-6.344742193963e-06,-6.397671602143e-06,
  -6.448998129728e-06,-6.498704708279e-06,-6.546774659414e-06,-6.593191700067e-06,
  -6.637939947641e-06,-6.681003925077e-06,-6.722368565832e-06,-6.762019218753e-06,
  -6.799941652866e-06,-6.836122062057e-06,-6.870547069656e-06,-6.903203732927e-06,
  -6.934079547446e-06,-6.963162451378e-06,-6.990440829657e-06,-7.015903518047e-06,
  -7.039539807102e-06,-7.061339446021e-06,-7.081292646381e-06,-7.099390085771e-06,
  -7.115622911304e-06,-7.12998274302e-06,-7.142461677173e-06, -7.1530522894e-06,
  -7.161747637773e-06,-7.168541265736e-06,-7.173427204916e-06,-7.17639997782e-06,
  -7.177454600406e-06,-7.176586584532e-06,-7.173791940283e-06,-7.169067178175e-06,
  -7.162409311226e-06,-7.153815856911e-06,-7.143284838985e-06,-7.130814789175e-06,
  -7.116404748749e-06,-7.100054269954e-06,-7.081763417322e-06,-7.061532768847e-06,
  -7.03936341703e-06,-7.015256969792e-06,-6.989215551258e-06, -6.9612418024e-06,
  -6.931338881552e-06,-6.899510464795e-06,-6.865760746195e-06,-6.830094437919e-06,
  -6.79251677021e-06,-6.753033491221e-06,-6.711650866728e-06,-6.668375679689e-06,
  -6.623215229678e-06,-6.576177332184e-06,-6.527270317759e-06,-6.476503031048e-06,
  -6.423884829665e-06,-6.369425582947e-06,-6.313135670555e-06,-6.255025980952e-06,
  -6.195107909736e-06,-6.133393357838e-06,-6.069894729584e-06,-6.004624930617e-06,
  -5.937597365687e-06,-5.868825936302e-06,-5.798325038243e-06,-5.726109558945e-06,
  -5.652194874737e-06,-5.576596847957e-06,-5.49933182392e-06,-5.420416627766e-06,
  -5.339868561158e-06,-5.25770539886e-06,-5.173945385178e-06,-5.088607230265e-06,
  -5.001710106302e-06,-4.913273643539e-06,-4.823317926216e-06,-4.731863488348e-06,
  -4.638931309379e-06,-4.544542809719e-06,-4.44871984614e-06,-4.351484707059e-06,
  -4.252860107685e-06,-4.152869185051e-06,-4.051535492913e-06,-3.948882996537e-06,
  -3.844936067354e-06,-3.739719477507e-06,-3.633258394266e-06,-3.525578374338e-06,
  -3.416705358048e-06,-3.306665663414e-06,-3.195485980103e-06,-3.083193363276e-06,
  -2.969815227317e-06,-2.855379339463e-06,-2.739913813309e-06,-2.623447102218e-06,
  -2.506007992623e-06,-2.387625597218e-06,-2.268329348053e-06,-2.148148989524e-06,
  -2.027114571265e-06,-1.905256440939e-06,-1.782605236935e-06,-1.659191880972e-06,
  -1.535047570598e-06,-1.410203771618e-06,-1.284692210409e-06,-1.158544866165e-06,
  -1.031793963049e-06,-9.044719622572e-07,-7.766115540046e-07,-6.482456494315e-07,
  -5.19407372428e-07,-3.901300513824e-07,-2.604472108555e-07,-1.303925631818e-07,
  5.081915579618e-20,1.306964162862e-07,2.616624611122e-07,3.928637564229e-07,
  5.242657794052e-07,6.558338712797e-07,7.875332461527e-07,9.193289999224e-07,
1.05118611924e-06, 1.18306949052e-06,1.314943909008e-06,1.446774087881e-06,
  1.578524667408e-06,1.710160224144e-06,1.841645280163e-06, 1.97294431234e-06,
  2.104021761653e-06,2.234842042534e-06,2.365369552234e-06,2.495568680235e-06,
2.62540381767e-06,2.754839366781e-06,2.883839750391e-06,3.012369421393e-06,
  3.140392872262e-06,3.267874644576e-06,3.394779338548e-06,3.521071622571e-06,
  3.646716242764e-06,3.771678032525e-06,3.895921922088e-06, 4.01941294807e-06,
  4.142116263024e-06,4.263997144983e-06,4.385021006989e-06,4.505153406618e-06,
  4.624360055491e-06,4.742606828763e-06,4.859859774597e-06,4.976085123616e-06,
  5.091249298332e-06,5.205318922543e-06,5.318260830712e-06,5.430042077297e-06,
  5.540629946067e-06,5.649991959363e-06, 5.75809588733e-06,5.864909757107e-06,
  5.970401861965e-06,6.074540770407e-06,6.177295335211e-06,6.278634702425e-06,
  6.378528320309e-06,6.476945948214e-06,6.573857665404e-06,6.669233879821e-06,
  6.763045336774e-06,6.855263127575e-06,6.945858698092e-06,7.034803857239e-06,
  7.122070785387e-06,7.207632042702e-06,7.291460577397e-06,7.373529733912e-06,
  7.453813260999e-06,7.532285319728e-06,7.608920491403e-06,7.683693785385e-06,
  7.756580646822e-06,7.827556964283e-06,7.896599077295e-06,7.963683783779e-06,
  8.028788347384e-06,8.091890504715e-06,8.152968472453e-06, 8.21200095437e-06,
  8.268967148229e-06,8.323846752571e-06,8.376619973387e-06,8.427267530674e-06,
  8.475770664867e-06,8.522111143152e-06,8.566271265658e-06,8.608233871516e-06,
  8.647982344798e-06,8.685500620321e-06,8.720773189324e-06,8.753785105003e-06,
  8.784521987926e-06,8.812970031294e-06,8.839116006074e-06,8.862947265991e-06,
  8.884451752371e-06,8.903617998848e-06,8.920435135921e-06,8.934892895365e-06,
  8.946981614491e-06,8.956692240263e-06,8.964016333254e-06,8.968946071455e-06,
  8.971474253927e-06,8.971594304298e-06,8.969300274102e-06,8.964586845961e-06,
  8.957449336601e-06,8.947883699718e-06,8.935886528671e-06,8.921455059016e-06,
  8.904587170878e-06,8.885281391148e-06,8.863536895528e-06,8.839353510394e-06,
  8.812731714496e-06,8.783672640495e-06,8.752178076315e-06,8.718250466337e-06,
  8.681892912416e-06,8.643109174724e-06,8.601903672419e-06,8.558281484145e-06,
  8.512248348354e-06,8.463810663448e-06,8.412975487755e-06,8.359750539324e-06,
  8.304144195537e-06,8.246165492557e-06,8.185824124589e-06,8.123130442964e-06,
  8.058095455052e-06,7.990730822987e-06,7.921048862222e-06,7.849062539904e-06,
  7.774785473065e-06,7.698231926645e-06,7.619416811325e-06,7.538355681191e-06,
  7.455064731215e-06,7.369560794564e-06,7.281861339721e-06,7.191984467437e-06,
  7.099948907509e-06,7.005774015368e-06,6.909479768505e-06,6.811086762716e-06,
  6.710616208167e-06,6.608089925291e-06,6.503530340513e-06,6.396960481791e-06,
  6.288403973996e-06,6.177885034113e-06,6.065428466275e-06,5.951059656627e-06,
  5.834804568015e-06,5.716689734514e-06,5.596742255788e-06,5.474989791277e-06,
5.35146055423e-06,5.226183305563e-06,5.099187347561e-06,4.970502517418e-06,
  4.840159180618e-06,4.708188224149e-06,4.574621049574e-06, 4.43948956593e-06,
  4.302826182488e-06,4.164663801346e-06,4.025035809882e-06,3.883976073052e-06,
  3.741518925536e-06,3.597699163749e-06,3.452552037695e-06,3.306113242686e-06,
  3.158418910918e-06,3.009505602906e-06,2.859410298784e-06,2.708170389469e-06,
  2.555823667695e-06,2.402408318905e-06, 2.24796291203e-06,2.092526390128e-06,
  1.936138060903e-06,1.778837587104e-06,1.620664976797e-06,1.461660573525e-06,
  1.301865046351e-06,1.141319379784e-06,9.800648635986e-07,8.181430825436e-07,
  6.555959059452e-07,4.924654772061e-07,3.287942032038e-07,1.646247435912e-07,
  -9.872322676621e-20,-1.650368948487e-07,-3.30442588123e-07,-4.96173517949e-07,
  -6.621859245632e-07,-8.284358615467e-07,-9.948792071413e-07,-1.16147167564e-06,
  -1.328168828851e-06,-1.494926087639e-06,-1.661698743521e-06,-1.828441970344e-06,
  -1.995110836013e-06,-2.161660314281e-06, -2.3280452966e-06,-2.494220604016e-06,
  -2.660140999125e-06,-2.825761198067e-06,-2.991035882567e-06,-3.155919712022e-06,
  -3.320367335615e-06,-3.484333404473e-06,-3.647772583855e-06,-3.810639565359e-06,
  -3.97288907917e-06,-4.134475906314e-06,-4.295354890941e-06,-4.45548095262e-06,
  -4.614809098642e-06,-4.77329443634e-06,-4.930892185405e-06,-5.087557690216e-06,
  -5.243246432153e-06,-5.397914041922e-06,-5.55151631186e-06,-5.704009208236e-06,
  -5.855348883533e-06,-6.005491688714e-06,-6.154394185471e-06,-6.302013158439e-06,
  -6.448305627395e-06,-6.593228859412e-06,-6.736740380995e-06,-6.878797990162e-06,
  -7.019359768495e-06,-7.158384093142e-06,-7.295829648773e-06,-7.431655439483e-06,
  -7.56582080064e-06,-7.698285410676e-06,-7.829009302819e-06,-7.957952876756e-06,
  -8.085076910227e-06,-8.210342570558e-06,-8.333711426103e-06,-8.455145457626e-06,
  -8.574607069586e-06,-8.692059101349e-06,-8.807464838305e-06, -8.9207880229e-06,
  -9.03199286557e-06,-9.141044055578e-06,-9.24790677175e-06,-9.352546693115e-06,
  -9.454930009425e-06,-9.555023431575e-06,-9.652794201906e-06,-9.748210104397e-06,
  -9.841239474729e-06,-9.931851210234e-06,-1.002001477972e-05,-1.010570023315e-05,
  -1.018887821123e-05,-1.026951995482e-05,-1.034759731421e-05,-1.042308275833e-05,
  -1.049594938367e-05,-1.056617092324e-05,-1.06337217552e-05,-1.06985769115e-05,
  -1.076071208621e-05,-1.082010364387e-05,-1.08767286275e-05,-1.093056476656e-05,
  -1.098159048477e-05,-1.102978490763e-05,-1.107512786991e-05,-1.111759992291e-05,
  -1.115718234152e-05,-1.119385713114e-05,-1.122760703445e-05,-1.12584155379e-05,
  -1.128626687813e-05,-1.131114604813e-05,-1.133303880323e-05,-1.135193166693e-05,
  -1.136781193649e-05,-1.138066768836e-05,-1.139048778339e-05,-1.139726187189e-05,
  -1.140098039841e-05,-1.140163460642e-05,-1.139921654268e-05,-1.139371906147e-05,
  -1.138513582862e-05,-1.137346132531e-05,-1.135869085161e-05,-1.134082052995e-05,
  -1.131984730821e-05,-1.129576896268e-05,-1.126858410086e-05,-1.12382921639e-05,
  -1.120489342897e-05,-1.116838901126e-05,-1.112878086595e-05,-1.108607178975e-05,
  -1.104026542237e-05,-1.09913662477e-05,-1.093937959478e-05,-1.088431163854e-05,
  -1.082616940032e-05,-1.076496074815e-05,-1.070069439683e-05,-1.063337990776e-05,
  -1.05630276885e-05,-1.048964899224e-05,-1.041325591683e-05,-1.03338614038e-05,
  -1.025147923696e-05,-1.016612404091e-05,-1.007781127925e-05,-9.986557252539e-06,
  -9.892379096106e-06,-9.795294777542e-06,-9.69532309401e-06,-9.592483669313e-06,
  -9.486796950727e-06,-9.37828420561e-06,-9.266967517772e-06,-9.152869783624e-06,
  -9.036014708092e-06,-8.916426800305e-06,-8.794131369049e-06,-8.669154518005e-06,
  -8.541523140742e-06,-8.411264915503e-06,-8.278408299753e-06,-8.142982524501e-06,
  -8.005017588412e-06,-7.864544251678e-06,-7.721594029681e-06,-7.576199186432e-06,
  -7.428392727787e-06,-7.278208394446e-06,-7.125680654741e-06, -6.9708446972e-06,
  -6.813736422906e-06,-6.654392437632e-06,-6.49285004378e-06,-6.329147232095e-06,
  -6.163322673184e-06,-5.995415708825e-06,-5.825466343067e-06,-5.653515233134e-06,
  -5.47960368013e-06,-5.303773619538e-06,-5.126067611531e-06,-4.946528831084e-06,
  -4.765201057895e-06,-4.582128666118e-06,-4.39735661391e-06,-4.210930432784e-06,
  -4.022896216793e-06,-3.833300611523e-06,-3.64219080291e-06,-3.449614505888e-06,
  -3.25561995286e-06,-3.060255881996e-06,-2.863571525368e-06,-2.665616596925e-06,
  -2.466441280295e-06,-2.266096216437e-06,-2.064632491137e-06,-1.862101622346e-06,
  -1.658555547375e-06,-1.454046609936e-06,-1.248627547047e-06,-1.042351475792e-06,
  -8.352718799423e-07,-6.274425964507e-07,-4.189178018081e-07,-2.097519982771e-07,
  -1.259143502379e-20,2.102830810132e-07,4.210418490126e-07,6.322206387516e-07,
  8.437635298387e-07,1.055614361194e-06,1.267716745613e-06,1.480014084423e-06,
  1.692449582238e-06,1.904966261807e-06,2.117506978948e-06,2.330014437561e-06,
  2.542431204729e-06,2.754699725892e-06,2.966762340092e-06,3.178561295286e-06,
  3.390038763724e-06,3.601136857389e-06, 3.81179764349e-06,4.021963160011e-06,
  4.231575431301e-06, 4.44057648372e-06,4.648908361311e-06,4.856513141517e-06,
  5.063332950928e-06,5.269309981053e-06,5.474386504116e-06,5.678504888871e-06,
  5.881607616433e-06,6.083637296118e-06,6.284536681289e-06,6.484248685205e-06,
  6.682716396867e-06,6.879883096855e-06,7.075692273159e-06,7.270087636991e-06,
  7.463013138577e-06,7.654412982927e-06,7.844231645575e-06,8.032413888288e-06,
  8.218904774734e-06,8.403649686116e-06,8.586594336752e-06,8.767684789609e-06,
  8.946867471784e-06,9.124089189922e-06,9.299297145575e-06,9.472438950491e-06,
  9.643462641831e-06,9.812316697313e-06,9.978950050269e-06,1.014331210463e-05,
1.03053527498e-05,1.046502237546e-05,1.062227188628e-05,1.077705271647e-05,
  1.092931684432e-05,1.107901680655e-05,1.122610571256e-05,1.137053725862e-05,
  1.151226574187e-05, 1.16512460742e-05,1.178743379604e-05,1.192078508998e-05,
  1.205125679426e-05,1.217880641612e-05,1.230339214502e-05,1.242497286564e-05,
  1.254350817085e-05,1.265895837436e-05,1.277128452336e-05,1.288044841092e-05,
  1.298641258819e-05,1.308914037649e-05,1.318859587917e-05,1.328474399338e-05,
  1.337755042148e-05,1.346698168249e-05, 1.35530051231e-05,1.363558892874e-05,
  1.371470213421e-05,1.379031463428e-05,1.386239719403e-05,1.393092145893e-05,
  1.399585996476e-05,1.405718614735e-05,  1.4114874352e-05,1.416889984275e-05,
  1.421923881141e-05,1.426586838638e-05,1.430876664116e-05,1.434791260275e-05,
1.43832862597e-05,1.441486856998e-05,1.444264146858e-05,1.446658787491e-05,
  1.448669169988e-05,1.450293785278e-05,1.451531224791e-05,1.452380181093e-05,
  1.452839448495e-05,1.452907923638e-05,1.452584606052e-05,1.451868598685e-05,
  1.450759108409e-05,1.449255446497e-05,1.447357029074e-05,1.445063377541e-05,
  1.442374118969e-05,1.439288986471e-05,1.435807819535e-05,1.431930564346e-05,
  1.427657274062e-05,1.422988109075e-05,1.417923337235e-05,1.412463334053e-05,
  1.406608582867e-05,1.400359674986e-05,  1.3937173098e-05,1.386682294868e-05,
  1.379255545967e-05,1.371438087121e-05,1.363231050595e-05, 1.35463567686e-05,
  1.345653314533e-05,1.336285420283e-05,1.326533558709e-05,1.316399402188e-05,
  1.305884730694e-05,1.294991431585e-05,1.283721499368e-05,1.272077035422e-05,
  1.260060247702e-05,1.247673450406e-05,1.234919063622e-05, 1.22179961293e-05,
  1.208317728993e-05,1.194476147099e-05,1.180277706692e-05,1.165725350858e-05,
  1.150822125795e-05, 1.13557118024e-05,1.119975764878e-05,1.104039231719e-05,
1.08776503344e-05,1.071156722704e-05,1.054217951454e-05,1.036952470164e-05,
  1.019364127077e-05,1.001456867405e-05,9.832347325063e-06,9.647018590272e-06,
  9.458624780246e-06,9.267209140545e-06,9.072815842355e-06,8.875489972835e-06,
  8.675277525205e-06,8.472225388547e-06,8.266381337355e-06,  8.0577940208e-06,
  7.846512951745e-06, 7.63258849549e-06,7.416071858259e-06,7.197015075432e-06,
  6.975470999521e-06,6.751493287889e-06, 6.52513639023e-06,6.296455535793e-06,
  6.065506720363e-06,5.832346693011e-06,5.597032942593e-06,5.359623684023e-06,
  5.120177844311e-06,4.878755048371e-06,4.635415604611e-06,4.390220490291e-06,
  4.143231336672e-06,3.894510413945e-06,3.644120615947e-06,3.392125444675e-06,
  3.138588994595e-06,2.883575936744e-06,2.627151502645e-06, 2.36938146802e-06,
  2.110332136326e-06,1.850070322095e-06,1.588663334099e-06, 1.32617895834e-06,
  1.062685440863e-06,7.982514704082e-07,5.329461608894e-07,2.668390337239e-07,
  -3.999435825714e-20,-2.675006575027e-07,-5.355923024392e-07,-8.042039631673e-07,
  -1.073264351152e-06, -1.3427018795e-06,-1.612444681626e-06,-1.882420630039e-06,
  -2.152557355242e-06,-2.422782264755e-06,-2.693022562236e-06,-2.963205266709e-06,
  -3.233257231893e-06,-3.503105165619e-06,-3.772675649337e-06,-4.041895157709e-06,
  -4.310690078274e-06,-4.57898673119e-06,-4.846711389043e-06,-5.113790296717e-06,
  -5.380149691321e-06,-5.645715822169e-06,-5.910414970806e-06,-6.174173471073e-06,
  -6.436917729212e-06,-6.698574243997e-06,-6.959069626892e-06,-7.218330622228e-06,
  -7.476284127398e-06,-7.732857213051e-06,-7.987977143297e-06,-8.241571395911e-06,
  -8.493567682523e-06,-8.743893968797e-06,-8.992478494592e-06, -9.2392497941e-06,
  -9.484136715947e-06,-9.727068443271e-06,-9.967974513743e-06,-1.020678483956e-05,
  -1.044342972736e-05,-1.067783989811e-05,-1.090994650691e-05,-1.113968116274e-05,
  -1.13669759481e-05,-1.159176343863e-05,-1.18139767226e-05,-1.20335494203e-05,
  -1.225041570338e-05,-1.246451031404e-05,-1.267576858416e-05,-1.288412645427e-05,
  -1.30895204924e-05,-1.329188791289e-05,-1.349116659495e-05,-1.368729510119e-05,
  -1.388021269591e-05,-1.406985936335e-05,-1.425617582574e-05,-1.443910356112e-05,
  -1.461858482118e-05,-1.479456264872e-05,-1.496698089512e-05,-1.51357842375e-05,
  -1.530091819582e-05,-1.546232914964e-05,-1.561996435486e-05,-1.577377196011e-05,
  -1.592370102306e-05,-1.606970152644e-05,-1.621172439387e-05,-1.634972150549e-05,
  -1.648364571339e-05,-1.661345085671e-05,-1.673909177667e-05,-1.686052433118e-05,
  -1.697770540941e-05,-1.709059294591e-05,-1.719914593466e-05,-1.730332444274e-05,
  -1.740308962383e-05,-1.749840373135e-05,-1.758923013147e-05,-1.767553331571e-05,
  -1.775727891332e-05,-1.783443370346e-05,-1.790696562694e-05,-1.797484379782e-05,
  -1.80380385146e-05,-1.809652127124e-05,-1.815026476777e-05,-1.819924292063e-05,
  -1.824343087276e-05,-1.828280500333e-05,-1.831734293714e-05,-1.834702355375e-05,
  -1.837182699627e-05,-1.839173467985e-05,-1.840672929977e-05,-1.841679483934e-05,
  -1.842191657731e-05,-1.842208109506e-05,-1.841727628343e-05,-1.840749134915e-05,
  -1.839271682102e-05,-1.837294455568e-05,-1.834816774307e-05,-1.83183809115e-05,
  -1.828357993241e-05,-1.824376202475e-05,-1.819892575904e-05,-1.814907106101e-05,
  -1.809419921494e-05,-1.803431286662e-05,-1.796941602593e-05,-1.789951406908e-05,
  -1.782461374045e-05,-1.774472315411e-05,-1.765985179497e-05,-1.757001051946e-05,
-1.7475211556e-05,-1.737546850494e-05,-1.727079633828e-05,-1.716121139887e-05,
  -1.704673139932e-05,-1.692737542056e-05,-1.680316390991e-05,-1.667411867891e-05,
  -1.654026290068e-05,-1.640162110692e-05,-1.625821918461e-05,-1.611008437217e-05,
  -1.595724525544e-05,-1.579973176314e-05,-1.563757516199e-05,-1.547080805151e-05,
  -1.529946435837e-05,-1.512357933039e-05,-1.494318953021e-05,-1.475833282851e-05,
  -1.456904839691e-05,-1.437537670053e-05,-1.417735949004e-05,-1.397503979357e-05,
  -1.376846190798e-05,-1.355767139004e-05,-1.334271504702e-05,-1.312364092703e-05,
  -1.290049830902e-05,-1.267333769233e-05,-1.244221078596e-05,-1.220717049743e-05,
  -1.196827092137e-05,-1.172556732765e-05,-1.147911614925e-05,-1.122897496972e-05,
  -1.097520251038e-05,-1.071785861708e-05,-1.045700424669e-05,-1.019270145324e-05,
  -9.925013373711e-06,-9.654004213537e-06,-9.379739231725e-06, -9.1022847257e-06,
  -8.821708015812e-06,-8.538077429527e-06,-8.251462285316e-06,-7.961932876222e-06,
  -7.669560453131e-06,-7.374417207746e-06,-7.076576255254e-06,-6.776111616705e-06,
  -6.473098201108e-06,-6.167611787234e-06,-5.859729005143e-06,-5.549527317432e-06,
  -5.237085000221e-06,-4.922481123858e-06,-4.605795533373e-06,-4.287108828672e-06,
  -3.966502344471e-06,-3.644058129996e-06,-3.319858928428e-06,-2.993988156111e-06,
  -2.666529881538e-06,-2.337568804096e-06,-2.007190232597e-06,-1.675480063589e-06,
  -1.342524759454e-06,-1.008411326304e-06,-6.732272916725e-07,-3.370606820112e-07,
  1.212664031183e-19,3.378657983302e-07,6.764473266489e-07,1.015654791554e-06,
1.35539801596e-06,1.695586462655e-06,2.036129258001e-06,2.376935215791e-06,
  2.717912861243e-06,3.058970455134e-06,3.400016018061e-06,3.740957354819e-06,
  4.081702078909e-06,4.422157637149e-06,4.762231334382e-06,5.101830358297e-06,
  5.440861804327e-06,5.779232700639e-06,6.116850033201e-06,6.453620770916e-06,
  6.789451890823e-06, 7.12425040336e-06,7.457923377669e-06,7.790377966952e-06,
  8.121521433863e-06, 8.45126117593e-06,8.779504750998e-06,9.106159902694e-06,
  9.431134585901e-06,9.754336992227e-06,1.007567557548e-05,1.039505907714e-05,
  1.071239655178e-05,1.102759739248e-05,1.134057135627e-05,1.165122858939e-05,
  1.195947965267e-05,1.226523554671e-05,1.256840773715e-05, 1.28689081797e-05,
  1.316664934526e-05,1.346154424485e-05,1.375350645451e-05,1.404245014008e-05,
  1.432829008186e-05,1.461094169922e-05,1.489032107502e-05, 1.516634498e-05,
  1.543893089692e-05,1.570799704469e-05,1.597346240226e-05,1.623524673239e-05,
  1.649327060532e-05,1.674745542216e-05,1.699772343822e-05,1.724399778611e-05,
  1.748620249864e-05,1.772426253158e-05,1.795810378618e-05,1.818765313151e-05,
  1.841283842658e-05,1.863358854223e-05,1.884983338283e-05,1.906150390771e-05,
  1.926853215239e-05,1.947085124955e-05,1.966839544973e-05,1.986110014183e-05,
  2.004890187328e-05,2.023173837002e-05,2.040954855611e-05,2.058227257318e-05,
  2.074985179945e-05, 2.09122288686e-05,2.106934768828e-05,2.122115345827e-05,
  2.136759268842e-05, 2.15086132162e-05,2.164416422401e-05,2.177419625608e-05,
2.18986612351e-05,2.201751247848e-05,2.213070471429e-05,2.223819409683e-05,
  2.233993822191e-05,2.243589614165e-05,2.252602837908e-05,2.261029694223e-05,
  2.268866533793e-05,2.276109858524e-05,2.282756322841e-05,2.288802734961e-05,
  2.294246058111e-05,2.299083411714e-05,2.303312072542e-05,2.306929475815e-05,
  2.309933216269e-05,2.312321049181e-05,2.314090891355e-05,2.315240822057e-05,
  2.315769083921e-05,2.315674083806e-05,2.314954393607e-05,2.313608751032e-05,
  2.311636060324e-05,2.309035392955e-05,2.305805988258e-05, 2.30194725403e-05,
  2.297458767083e-05,2.292340273752e-05,2.286591690356e-05, 2.28021310362e-05,
  2.273204771044e-05, 2.26556712123e-05,2.257300754167e-05,2.248406441461e-05,
  2.238885126528e-05,2.228737924737e-05,2.217966123503e-05, 2.20657118234e-05,
  2.194554732862e-05,2.181918578743e-05,2.168664695622e-05, 2.15479523097e-05,
  2.140312503901e-05,2.125219004945e-05,2.109517395766e-05,2.093210508839e-05,
  2.076301347073e-05,2.058793083395e-05,2.040689060281e-05, 2.02199278924e-05,
  2.002707950254e-05,1.982838391169e-05,1.962388127039e-05, 1.94136133942e-05,
  1.919762375628e-05,1.897595747934e-05,1.874866132726e-05,1.851578369617e-05,
1.82773746051e-05,1.803348568614e-05,1.778417017417e-05,1.752948289611e-05,
  1.726948025971e-05, 1.70042202419e-05,1.673376237668e-05,1.645816774254e-05,
  1.617749894946e-05,1.589182012546e-05,1.560119690268e-05,1.530569640304e-05,
1.50053872235e-05,1.470033942077e-05,1.439062449571e-05,1.407631537726e-05,
  1.375748640591e-05,1.343421331681e-05,1.310657322239e-05,1.277464459464e-05,
  1.243850724693e-05,1.209824231542e-05,1.175393224012e-05,1.140566074552e-05,
  1.105351282076e-05,1.069757469958e-05,1.033793383968e-05,9.974678901862e-06,
  9.607899728719e-06, 9.23768732297e-06,8.864133825434e-06,8.487332492639e-06,
  8.107377674081e-06,7.724364789131e-06,7.338390303601e-06,6.949551705966e-06,
  6.557947483264e-06,6.163677096658e-06,5.766840956687e-06,5.367540398195e-06,
  4.965877654956e-06,4.561955833995e-06,4.155878889617e-06,3.747751597138e-06,
  3.337679526339e-06,2.925769014646e-06,2.512127140033e-06,2.096861693666e-06,
  1.680081152293e-06,1.261894650379e-06,8.424119520041e-07,4.217434225234e-07,
  -5.688502392494e-20,-4.227068335826e-07,-8.462650813206e-07,-1.270562260599e-06,
  -1.695485432495e-06,-2.120921231374e-06,-2.546755894672e-06,-2.972875292847e-06,
  -3.399164959506e-06,-3.825510121681e-06,-4.251795730271e-06,-4.677906490617e-06,
  -5.103726893217e-06,-5.529141244573e-06,-5.954033698148e-06,-6.378288285443e-06,
  -6.801788947181e-06,-7.22441956457e-06,-7.646063990674e-06,-8.066606081847e-06,
  -8.485929729243e-06,-8.903918890388e-06,-9.320457620807e-06,-9.735430105691e-06,
  -1.01487206916e-05,-1.056021391822e-05,-1.096979455006e-05,-1.13773476083e-05,
  -1.178275840247e-05,-1.218591256228e-05,-1.258669606932e-05,-1.298499528879e-05,
  -1.33806970012e-05, -1.3773688434e-05,-1.41638572932e-05,-1.455109179488e-05,
  -1.493528069665e-05,-1.53163133291e-05,-1.569407962705e-05,-1.60684701608e-05,
  -1.643937616721e-05,-1.680668958073e-05,-1.717030306429e-05,-1.753011004001e-05,
  -1.788600471984e-05,-1.823788213606e-05,-1.858563817153e-05,-1.89291695899e-05,
  -1.926837406557e-05,-1.960315021349e-05,-1.993339761876e-05,-2.025901686608e-05,
  -2.057990956893e-05,-2.089597839856e-05,-2.120712711279e-05,-2.151326058454e-05,
  -2.181428483013e-05,-2.211010703733e-05,-2.24006355932e-05,-2.268578011156e-05,
  -2.29654514603e-05,-2.323956178838e-05,-2.350802455249e-05,-2.377075454346e-05,
  -2.402766791238e-05,-2.427868219638e-05,-2.452371634408e-05,-2.476269074076e-05,
  -2.499552723314e-05,-2.522214915387e-05,-2.544248134565e-05,-2.565645018496e-05,
  -2.586398360548e-05,-2.606501112112e-05,-2.625946384866e-05,-2.644727453002e-05,
  -2.662837755411e-05,-2.680270897833e-05,-2.697020654962e-05,-2.713080972514e-05,
  -2.728445969246e-05,-2.743109938943e-05,-2.757067352349e-05,-2.770312859069e-05,
  -2.782841289412e-05,-2.794647656202e-05,-2.805727156532e-05,-2.816075173478e-05,
  -2.82568727777e-05,-2.834559229406e-05,-2.842686979225e-05,-2.850066670432e-05,
  -2.856694640067e-05,-2.862567420435e-05,-2.867681740479e-05,-2.872034527103e-05,
  -2.875622906448e-05,-2.87844420511e-05,-2.880495951318e-05,-2.881775876044e-05,
  -2.882281914073e-05,-2.882012205017e-05,-2.880965094272e-05,-2.879139133923e-05,
  -2.876533083596e-05,-2.873145911259e-05,-2.868976793955e-05,-2.864025118499e-05,
  -2.858290482103e-05,-2.851772692951e-05,-2.844471770724e-05,-2.83638794706e-05,
  -2.827521665959e-05,-2.817873584137e-05,-2.807444571315e-05,-2.796235710458e-05,
  -2.784248297951e-05,-2.771483843721e-05,-2.757944071299e-05,-2.743630917825e-05,
  -2.728546533998e-05,-2.71269328396e-05,-2.696073745131e-05,-2.678690707979e-05,
  -2.660547175733e-05,-2.641646364043e-05,-2.621991700572e-05,-2.601586824539e-05,
  -2.580435586196e-05,-2.55854204625e-05,-2.535910475227e-05,-2.512545352779e-05,
  -2.488451366927e-05,-2.463633413248e-05,-2.438096594012e-05,-2.411846217247e-05,
  -2.384887795756e-05,-2.357227046074e-05,-2.328869887363e-05,-2.299822440258e-05,
  -2.270091025649e-05,-2.239682163406e-05,-2.208602571052e-05,-2.176859162374e-05,
  -2.144459045982e-05,-2.111409523807e-05,-2.07771808955e-05,-2.043392427071e-05,
  -2.008440408719e-05,-1.972870093617e-05,-1.936689725886e-05,-1.899907732813e-05,
  -1.862532722973e-05,-1.824573484287e-05,-1.78603898204e-05,-1.746938356832e-05,
  -1.707280922492e-05,-1.667076163926e-05,-1.626333734924e-05,-1.585063455912e-05,
  -1.543275311657e-05,-1.500979448916e-05,-1.458186174041e-05,-1.414905950539e-05,
  -1.371149396574e-05,-1.326927282426e-05,-1.282250527912e-05,-1.237130199744e-05,
  -1.191577508854e-05,-1.145603807671e-05,-1.099220587352e-05,-1.052439474969e-05,
  -1.005272230655e-05,-9.577307447062e-06,-9.098270346452e-06,-8.615732422378e-06,
  -8.129816304753e-06,-7.640645805135e-06,-7.148345885755e-06,-6.653042628144e-06,
  -6.154863201404e-06,-5.653935830102e-06,-5.150389761824e-06,-4.644355234357e-06,
  -4.135963442555e-06,-3.62534650486e-06,-3.112637429499e-06,-2.59797008037e-06,
  -2.081479142625e-06,-1.563300087947e-06,-1.043569139541e-06,-5.22423236852e-07,
  -4.701365451271e-20,5.235623060373e-07,1.048124807497e-06, 1.57354805815e-06,
  2.099692075851e-06,2.626416379312e-06,3.153580025096e-06,3.681041644811e-06,
  4.208659482502e-06,4.736291432229e-06,5.263795075822e-06,  5.7910277208e-06,
  6.317846438449e-06,6.844108102047e-06, 7.36966942522e-06,7.894387000429e-06,
  8.418117337576e-06,8.940716902703e-06,9.462042156804e-06,9.981949594709e-06,
  1.050029578404e-05,1.101693740426e-05,1.153173128572e-05, 1.20445344488e-05,
1.25552041431e-05,1.306359788653e-05,1.356957350461e-05,1.407298916957e-05,
  1.457370343958e-05, 1.50715752979e-05,  1.5566464192e-05,1.605823007266e-05,
  1.654673343301e-05,1.703183534747e-05,1.751339751069e-05,1.799128227632e-05,
  1.846535269578e-05,1.893547255682e-05,1.940150642203e-05,1.986331966722e-05,
  2.032077851964e-05,2.077375009605e-05,2.122210244065e-05,2.166570456282e-05,
2.21044264747e-05,2.253813922854e-05, 2.29667149539e-05, 2.33900268946e-05,
  2.380794944546e-05, 2.42203581888e-05,2.462712993067e-05,2.502814273693e-05,
2.54232759689e-05, 2.58124103189e-05,2.619542784538e-05,2.657221200782e-05,
2.69426477013e-05,2.730662129076e-05,2.766402064498e-05, 2.80147351701e-05,
  2.835865584295e-05,2.869567524388e-05,2.902568758935e-05,2.934858876409e-05,
  2.966427635281e-05,2.997264967167e-05,3.027360979917e-05,3.056705960679e-05,
  3.085290378909e-05,3.113104889345e-05,3.140140334933e-05,3.166387749707e-05,
  3.191838361632e-05, 3.21648359539e-05,3.240315075122e-05,3.263324627126e-05,
  3.285504282498e-05,3.306846279733e-05,3.327343067265e-05,3.346987305959e-05,
  3.365771871558e-05,3.383689857065e-05,3.400734575076e-05,3.416899560066e-05,
  3.432178570604e-05,3.446565591526e-05,3.460054836044e-05,3.472640747799e-05,
  3.484318002857e-05,3.495081511643e-05,3.504926420823e-05,3.513848115111e-05,
  3.521842219036e-05,3.528904598628e-05,3.535031363055e-05,3.540218866189e-05,
  3.544463708119e-05,3.547762736586e-05,3.550113048371e-05,3.551511990603e-05,
  3.551957162009e-05,3.551446414101e-05,3.549977852291e-05,3.547549836942e-05,
  3.544160984352e-05,3.539810167671e-05,3.534496517752e-05,3.528219423927e-05,
  3.520978534724e-05,3.512773758508e-05,3.503605264054e-05,3.493473481056e-05,
  3.482379100559e-05,3.470323075322e-05, 3.45730662012e-05,3.443331211961e-05,
  3.428398590243e-05,3.412510756837e-05,3.395669976098e-05,3.377878774805e-05,
  3.359139942033e-05,3.339456528946e-05,3.318831848529e-05,3.297269475239e-05,
  3.274773244586e-05,3.251347252651e-05, 3.22699585552e-05,3.201723668652e-05,
  3.175535566179e-05,3.148436680127e-05,3.120432399568e-05,3.091528369706e-05,
  3.061730490884e-05, 3.03104491752e-05,2.999478056982e-05,2.967036568374e-05,
  2.933727361273e-05,2.899557594375e-05,2.864534674084e-05,2.828666253027e-05,
  2.791960228494e-05, 2.75442474082e-05,2.716068171683e-05,2.676899142348e-05,
  2.636926511827e-05,2.596159374986e-05,2.554607060572e-05,2.512279129178e-05,
  2.469185371141e-05,2.425335804372e-05,2.380740672117e-05,2.335410440659e-05,
2.28935579695e-05,2.242587646176e-05,2.195117109264e-05,2.146955520322e-05,
  2.098114424013e-05,2.048605572871e-05,1.998440924555e-05,1.947632639035e-05,
  1.896193075728e-05,1.844134790564e-05,1.791470532998e-05,1.738213242961e-05,
  1.684376047756e-05,1.629972258892e-05,1.575015368868e-05,1.519519047891e-05,
  1.463497140551e-05,1.406963662435e-05,1.349932796686e-05,1.292418890514e-05,
  1.234436451654e-05,1.176000144768e-05,1.117124787809e-05,1.057825348321e-05,
  9.981169397027e-06, 9.38014817415e-06,8.775343751502e-06,8.166911409495e-06,
  7.555007732789e-06, 6.93979057061e-06,6.321418996642e-06,5.700053268506e-06,
5.07585478683e-06,4.448986053929e-06,3.819610632095e-06,3.187893101521e-06,
  2.553999017852e-06,1.918094869393e-06,1.280348033969e-06,6.409267354574e-07,
  -7.683552443398e-20,-6.42262388093e-07,-1.285689930734e-06,-1.930111460737e-06,
  -2.57535518677e-06,-3.221248738567e-06,-3.867619212394e-06,-4.51429321675e-06,
  -5.161096918299e-06,-5.80785608801e-06,-6.454396147508e-06,-7.100542215608e-06,
  -7.746119155031e-06,-8.390951619285e-06, -9.0348640997e-06, -9.6776809726e-06,
  -1.031922654661e-05,-1.095932511008e-05,-1.159780097859e-05,-1.223447854259e-05,
  -1.286918231506e-05,-1.350173697929e-05,-1.413196743669e-05,-1.475969885461e-05,
  -1.538475671424e-05,-1.600696685848e-05,-1.662615553985e-05,-1.724214946833e-05,
  -1.785477585924e-05,-1.846386248105e-05,-1.90692377031e-05,-1.967073054335e-05,
  -2.026817071594e-05,-2.086138867876e-05,-2.145021568086e-05,-2.203448380973e-05,
  -2.261402603849e-05,-2.318867627293e-05,-2.375826939837e-05,-2.432264132637e-05,
  -2.488162904124e-05,-2.54350706464e-05,-2.598280541043e-05,-2.652467381306e-05,
  -2.706051759074e-05,-2.759017978212e-05,-2.811350477318e-05,-2.86303383421e-05,
  -2.914052770388e-05,-2.964392155461e-05,-3.014037011551e-05,-3.062972517651e-05,
  -3.111184013967e-05,-3.158657006207e-05,-3.205377169852e-05,-3.251330354372e-05,
  -3.296502587417e-05,-3.340880078961e-05,-3.384449225411e-05,-3.427196613665e-05,
  -3.469109025133e-05,-3.510173439716e-05,-3.550377039731e-05,-3.589707213796e-05,
  -3.628151560664e-05,-3.66569789301e-05,-3.702334241163e-05,-3.738048856793e-05,
  -3.77283021654e-05,-3.806667025596e-05,-3.839548221221e-05,-3.871462976218e-05,
  -3.90240070234e-05,-3.932351053639e-05,-3.96130392977e-05,-3.989249479215e-05,
  -4.01617810246e-05,-4.042080455109e-05,-4.066947450929e-05,-4.090770264835e-05,
  -4.113540335813e-05,-4.13524936977e-05,-4.155889342325e-05,-4.175452501531e-05,
  -4.19393137052e-05,-4.211318750095e-05,-4.227607721237e-05,-4.242791647547e-05,
  -4.256864177622e-05,-4.269819247345e-05,-4.281651082117e-05,-4.292354199004e-05,
  -4.301923408812e-05,-4.310353818093e-05,-4.317640831064e-05,-4.32378015146e-05,
  -4.328767784299e-05,-4.332600037579e-05,-4.335273523891e-05,-4.336785161949e-05,
  -4.337132178052e-05,-4.336312107453e-05,-4.334322795654e-05,-4.331162399616e-05,
  -4.326829388891e-05,-4.321322546671e-05,-4.314640970748e-05,-4.306784074397e-05,
  -4.297751587176e-05,-4.287543555636e-05,-4.276160343955e-05,-4.263602634474e-05,
  -4.249871428165e-05,-4.234968044998e-05,-4.218894124233e-05,-4.201651624621e-05,
  -4.183242824518e-05,-4.163670321919e-05,-4.142937034395e-05,-4.121046198955e-05,
  -4.098001371811e-05,-4.073806428066e-05,-4.048465561301e-05,-4.021983283092e-05,
  -3.994364422427e-05,-3.965614125039e-05,-3.935737852657e-05,-3.904741382161e-05,
  -3.87263080466e-05,-3.839412524471e-05,-3.805093258024e-05,-3.769680032672e-05,
  -3.733180185414e-05,-3.695601361538e-05,-3.656951513172e-05,-3.617238897748e-05,
  -3.576472076387e-05,-3.534659912194e-05,-3.491811568465e-05,-3.447936506814e-05,
  -3.403044485216e-05,-3.357145555959e-05,-3.31025006352e-05,-3.262368642353e-05,
  -3.213512214596e-05,-3.163691987694e-05,-3.112919451938e-05,-3.061206377932e-05,
  -3.008564813967e-05,-2.955007083318e-05,-2.900545781468e-05,-2.845193773244e-05,
  -2.788964189878e-05,-2.731870425993e-05,-2.673926136502e-05,-2.615145233443e-05,
  -2.555541882727e-05,-2.49513050082e-05,-2.433925751341e-05,-2.371942541594e-05,
  -2.309196019025e-05,-2.245701567605e-05,-2.181474804141e-05,-2.116531574522e-05,
  -2.050887949889e-05,-1.984560222741e-05,-1.917564902972e-05,-1.849918713837e-05,
  -1.781638587861e-05,-1.712741662675e-05,-1.643245276791e-05,-1.573166965317e-05,
  -1.502524455606e-05,-1.431335662843e-05,-1.359618685582e-05,-1.287391801212e-05,
  -1.214673461374e-05,-1.141482287315e-05, -1.0678370652e-05,-9.937567413478e-06,
  -9.19260417439e-06,-8.443673456528e-06,-7.690969237636e-06,-6.934686901859e-06,
  -6.175023189701e-06,-5.412176147535e-06,-4.64634507665e-06,-3.877730481851e-06,
  -3.106534019645e-06,-2.332958446001e-06,-1.557207563715e-06,-7.794861693818e-07,
  2.570254445092e-19,7.810443207942e-07,1.563439336828e-06,2.346976813835e-06,
  3.131447794211e-06,3.916642652079e-06,4.702351148637e-06,5.488362487792e-06,
  6.274465372044e-06,7.060448058622e-06,7.846098415855e-06,8.631203979751e-06,
  9.415552010785e-06,1.019892955087e-05,1.098112348051e-05,1.176192057609e-05,
  1.254110756731e-05, 1.33184711948e-05,1.409379826773e-05,1.486687572164e-05,
  1.563749067628e-05,1.640543049351e-05, 1.71704828353e-05,1.793243572172e-05,
  1.869107758892e-05,1.944619734723e-05,2.019758443909e-05,2.094502889707e-05,
  2.168832140178e-05,2.242725333977e-05,2.316161686128e-05,2.389120493798e-05,
  2.461581142054e-05,2.533523109611e-05,2.604925974563e-05,2.675769420102e-05,
  2.746033240216e-05,2.815697345371e-05,2.884741768174e-05,2.953146669005e-05,
  3.020892341643e-05,3.087959218844e-05,3.154327877916e-05,3.219979046247e-05,
  3.284893606812e-05, 3.34905260365e-05,3.412437247302e-05,3.475028920223e-05,
  3.536809182148e-05,3.597759775429e-05,3.657862630327e-05,3.717099870272e-05,
  3.775453817069e-05, 3.83290699607e-05,3.889442141298e-05,3.945042200525e-05,
  3.999690340298e-05,4.053369950927e-05,4.106064651404e-05,4.157758294289e-05,
  4.208434970532e-05,4.258079014235e-05,4.306675007373e-05,4.354207784443e-05,
  4.400662437061e-05,4.446024318492e-05, 4.49027904813e-05,4.533412515901e-05,
  4.575410886608e-05,4.616260604215e-05,4.655948396051e-05,4.694461276958e-05,
  4.731786553363e-05,4.767911827279e-05,4.802825000237e-05,4.836514277143e-05,
  4.868968170058e-05,4.900175501905e-05,4.930125410101e-05,4.958807350106e-05,
  4.986211098897e-05,5.012326758358e-05,5.037144758592e-05,5.060655861152e-05,
  5.082851162182e-05, 5.10372209548e-05,5.123260435472e-05,5.141458300104e-05,
  5.158308153638e-05,5.173802809372e-05,5.187935432258e-05,5.200699541441e-05,
  5.212089012699e-05,5.222098080794e-05,5.230721341736e-05,5.237953754942e-05,
  5.243790645312e-05,5.248227705202e-05, 5.25126099631e-05,5.252886951455e-05,
  5.253102376267e-05,5.251904450781e-05,5.249290730921e-05,5.245259149901e-05,
  5.239808019513e-05,5.232936031324e-05, 5.22464225777e-05,5.214926153145e-05,
  5.203787554494e-05,5.191226682404e-05,5.177244141688e-05,5.161840921972e-05,
  5.145018398175e-05,5.126778330885e-05,5.107122866639e-05,5.086054538088e-05,
  5.063576264068e-05,5.039691349559e-05,5.014403485544e-05, 4.98771674876e-05,
4.95963560135e-05,4.930164890403e-05, 4.89930984739e-05,4.867076087505e-05,
  4.833469608883e-05, 4.79849679173e-05,4.762164397338e-05,4.724479566997e-05,
  4.685449820806e-05,4.645083056372e-05,4.603387547411e-05,4.560371942242e-05,
  4.516045262177e-05,4.470416899804e-05,4.423496617174e-05,4.375294543873e-05,
  4.325821175005e-05,4.275087369057e-05,4.223104345677e-05,4.169883683335e-05,
  4.115437316895e-05,4.059777535077e-05,4.002916977826e-05,3.944868633572e-05,
3.8856458364e-05,3.825262263113e-05,3.763731930202e-05,3.701069190716e-05,
  3.637288731036e-05,3.572405567549e-05,3.506435043233e-05,3.439392824141e-05,
  3.371294895794e-05,3.302157559482e-05,3.231997428464e-05, 3.16083142409e-05,
  3.088676771821e-05,3.015550997163e-05,2.941471921513e-05,2.866457657916e-05,
  2.790526606734e-05, 2.71369745123e-05,2.635989153069e-05,2.557420947731e-05,
  2.478012339842e-05,2.397783098427e-05, 2.31675325208e-05,2.234943084051e-05,
  2.152373127259e-05,2.069064159232e-05,1.985037196958e-05,1.900313491674e-05,
  1.814914523578e-05,1.728861996464e-05,1.642177832295e-05,1.554884165697e-05,
  1.467003338393e-05,1.378557893568e-05,1.289570570163e-05,1.200064297116e-05,
1.11006218753e-05,1.019587532786e-05,9.286637965969e-06,8.373146089988e-06,
  7.455637602901e-06,6.534351949143e-06,5.609530052891e-06,4.681414255834e-06,
  3.750248254455e-06,2.816277036812e-06,1.879746818856e-06,9.409049802892e-07,
  -9.869009848341e-20,-9.427186089423e-07,-1.88700036468e-06,-2.832593882355e-06,
  -3.779246940268e-06,-4.72670654638e-06,-5.674719005161e-06,-6.62302998475e-06,
  -7.571384584417e-06,-8.519527402307e-06,-9.467202603449e-06,-1.041415398801e-05,
  -1.136012505979e-05,-1.23048590949e-05,-1.324809921067e-05,-1.418958843468e-05,
  -1.512906977403e-05,-1.606628628463e-05,-1.700098114074e-05,-1.793289770451e-05,
  -1.886177959561e-05,-1.978737076103e-05,-2.070941554476e-05,-2.162765875763e-05,
  -2.254184574709e-05, -2.3451722467e-05,-2.435703554736e-05,-2.525753236406e-05,
  -2.615296110846e-05,-2.704307085699e-05,-2.792761164054e-05,-2.880633451381e-05,
  -2.967899162444e-05,-3.054533628206e-05,-3.140512302707e-05,-3.22581076993e-05,
  -3.310404750636e-05,-3.394270109185e-05,-3.477382860321e-05,-3.559719175938e-05,
  -3.641255391812e-05, -3.7219680143e-05,-3.801833727009e-05,-3.880829397431e-05,
  -3.958932083534e-05,-4.036119040319e-05,-4.11236772634e-05,-4.187655810171e-05,
  -4.26196117684e-05,-4.335261934204e-05,-4.407536419292e-05,-4.478763204581e-05,
  -4.548921104233e-05,-4.617989180271e-05,-4.685946748705e-05,-4.752773385597e-05,
  -4.818448933068e-05,-4.882953505249e-05,-4.946267494159e-05,-5.008371575533e-05,
  -5.069246714574e-05,-5.128874171639e-05,-5.187235507861e-05,-5.244312590699e-05,
  -5.300087599407e-05,-5.354543030444e-05,-5.407661702795e-05,-5.459426763224e-05,
  -5.509821691441e-05,-5.558830305198e-05,-5.606436765294e-05,-5.652625580499e-05,
  -5.697381612402e-05,-5.740690080157e-05,-5.782536565157e-05,-5.82290701561e-05,
  -5.861787751024e-05,-5.899165466606e-05,-5.935027237562e-05,-5.969360523307e-05,
  -6.002153171577e-05,-6.033393422442e-05,-6.063069912224e-05,-6.091171677312e-05,
  -6.117688157881e-05,-6.142609201503e-05,-6.165925066658e-05,-6.187626426141e-05,
  -6.207704370362e-05,-6.226150410541e-05,-6.24295648179e-05,-6.258114946098e-05,
  -6.271618595193e-05,-6.283460653299e-05,-6.293634779786e-05,-6.302135071699e-05,
  -6.308956066178e-05,-6.314092742766e-05,-6.317540525593e-05,-6.319295285457e-05,
  -6.319353341775e-05,-6.317711464425e-05,-6.31436687547e-05,-6.309317250756e-05,
  -6.302560721397e-05,-6.294095875138e-05,-6.283921757596e-05,-6.272037873381e-05,
  -6.258444187094e-05,-6.243141124204e-05,-6.226129571802e-05,-6.207410879228e-05,
  -6.186986858583e-05,-6.164859785104e-05,-6.14103239743e-05,-6.115507897727e-05,
  -6.088289951704e-05,-6.059382688491e-05, -6.0287907004e-05,-5.996519042553e-05,
  -5.962573232393e-05,-5.926959249062e-05,-5.889683532656e-05,-5.850752983357e-05,
  -5.810174960431e-05,-5.767957281107e-05,-5.72410821933e-05,-5.678636504386e-05,
  -5.631551319401e-05,-5.582862299716e-05,-5.532579531136e-05,-5.480713548057e-05,
  -5.427275331462e-05,-5.372276306802e-05,-5.315728341742e-05,-5.25764374379e-05,
  -5.198035257805e-05,-5.136916063376e-05,-5.074299772082e-05,-5.010200424631e-05,
  -4.944632487874e-05,-4.877610851702e-05,-4.809150825826e-05,-4.739268136425e-05,
  -4.667978922692e-05,-4.595299733248e-05,-4.521247522448e-05,-4.445839646564e-05,
  -4.369093859858e-05,-4.291028310536e-05,-4.211661536592e-05,-4.131012461531e-05,
  -4.049100389991e-05,-3.965945003248e-05,-3.881566354606e-05,-3.795984864692e-05,
  -3.709221316624e-05,-3.621296851092e-05,-3.532232961317e-05,-3.442051487917e-05,
  -3.350774613658e-05,-3.258424858119e-05,-3.165025072237e-05,-3.07059843277e-05,
  -2.975168436648e-05,-2.878758895236e-05,-2.781393928497e-05,-2.683097959061e-05,
  -2.583895706207e-05,-2.483812179742e-05,-2.382872673802e-05,-2.281102760558e-05,
  -2.178528283838e-05,-2.075175352661e-05,-1.971070334692e-05,-1.86623984961e-05,
  -1.760710762398e-05,-1.654510176555e-05,-1.547665427231e-05,-1.440204074282e-05,
  -1.332153895259e-05,-1.223542878322e-05,-1.114399215078e-05,-1.004751293364e-05,
  -8.946276899472e-06,-7.840571631778e-06,-6.730686455644e-06,-5.616912362973e-06,
  -4.499541937102e-06,-3.378869276848e-06,-2.255189920011e-06,-1.128800766341e-06,
  -1.35393912724e-19,1.130912988476e-06,2.263637680673e-06,3.397872509255e-06,
  4.533314937344e-06,5.669661538314e-06,6.806608075965e-06,7.943849585073e-06,
9.08108045228e-06,1.021799449731e-05,1.135428505449e-05,1.248964505456e-05,
  1.362376710673e-05,1.475634358096e-05,1.588706669052e-05,1.701562857468e-05,
1.81417213816e-05,1.926503735135e-05,2.038526889912e-05,2.150210869846e-05,
  2.261524976463e-05,2.372438553805e-05,2.482920996773e-05,2.592941759479e-05,
  2.702470363585e-05,2.811476406658e-05,  2.9199295705e-05,3.027799629484e-05,
  3.135056458877e-05,3.241670043148e-05,3.347610484267e-05,3.452848009981e-05,
  3.557352982082e-05, 3.66109590464e-05,3.764047432224e-05,3.866178378096e-05,
  3.967459722368e-05,4.067862620146e-05,4.167358409622e-05,4.265918620148e-05,
  4.363514980264e-05,4.460119425692e-05,4.555704107284e-05, 4.65024139893e-05,
  4.743703905423e-05,4.836064470267e-05,4.927296183445e-05,5.017372389131e-05,
  5.106266693345e-05,5.193952971554e-05,5.280405376216e-05,5.365598344259e-05,
  5.449506604501e-05,5.532105185003e-05,5.613369420352e-05,5.693274958884e-05,
  5.771797769821e-05, 5.84891415035e-05,5.924600732615e-05, 5.99883449064e-05,
  6.071592747163e-05,  6.1428531804e-05,6.212593830713e-05,6.280793107204e-05,
  6.347429794216e-05,6.412483057742e-05, 6.47593245175e-05, 6.53775792441e-05,
  6.597939824226e-05,6.656458906074e-05,6.713296337139e-05,6.768433702752e-05,
  6.821853012129e-05, 6.873536704e-05,6.923467652133e-05,6.971629170759e-05,
  7.018005019877e-05,7.062579410457e-05,7.105337009522e-05,7.146262945132e-05,
  7.185342811232e-05,  7.2225626724e-05,7.257909068469e-05,7.291369019031e-05,
  7.322930027819e-05,7.352580086969e-05,7.380307681154e-05,7.406101791597e-05,
  7.429951899955e-05,7.451847992072e-05,7.471780561614e-05,7.489740613558e-05,
  7.505719667564e-05,7.519709761202e-05,7.531703453058e-05,7.541693825691e-05,
  7.549674488468e-05,7.555639580251e-05,7.559583771953e-05, 7.56150226895e-05,
  7.561390813362e-05,7.559245686179e-05,7.555063709262e-05,7.548842247189e-05,
  7.540579208963e-05, 7.53027304958e-05,7.517922771443e-05,7.503527925642e-05,
7.48708861308e-05,7.468605485456e-05,7.448079746101e-05, 7.42551315067e-05,
  7.400908007678e-05,7.374267178896e-05,7.345594079595e-05,7.314892678642e-05,
  7.282167498448e-05, 7.24742361476e-05,7.210666656314e-05,7.171902804333e-05,
  7.131138791869e-05,7.088381903006e-05, 7.04363997191e-05,6.996921381719e-05,
  6.948235063297e-05,6.897590493831e-05,6.844997695276e-05,6.790467232656e-05,
  6.734010212211e-05,6.675638279397e-05,6.615363616737e-05, 6.55319894152e-05,
  6.489157503356e-05,6.423253081581e-05,6.355499982512e-05,6.285913036563e-05,
  6.214507595203e-05,6.141299527776e-05,6.066305218174e-05,5.989541561364e-05,
  5.911025959771e-05,5.830776319518e-05,5.748811046525e-05,5.665149042459e-05,
  5.579809700559e-05,5.492812901297e-05,5.404179007924e-05, 5.31392886186e-05,
  5.222083777957e-05,5.128665539621e-05,5.033696393797e-05,4.937199045829e-05,
  4.839196654175e-05,4.739712824999e-05, 4.63877160663e-05,4.536397483886e-05,
  4.432615372284e-05,4.327450612108e-05,4.220928962358e-05, 4.11307659458e-05,
  4.003920086566e-05,3.893486415933e-05,3.781802953593e-05, 3.66889745709e-05,
  3.554798063831e-05,3.439533284203e-05,3.323131994566e-05,3.205623430149e-05,
  3.087037177825e-05,2.967403168785e-05,2.846751671101e-05,2.725113282189e-05,
  2.602518921166e-05,2.478999821108e-05,2.354587521212e-05,2.229313858853e-05,
  2.103210961555e-05,1.976311238869e-05,1.848647374148e-05,1.720252316251e-05,
  1.591159271148e-05,1.461401693444e-05,1.331013277822e-05,  1.2000279504e-05,
  1.068479860023e-05,9.364033694611e-06,8.038330465503e-06,6.708036552508e-06,
  5.373501466428e-06,4.035076498519e-06,2.693114629119e-06,1.347970435645e-06,
  -1.211826790429e-19,-1.350439184601e-06,-2.702988307345e-06,-4.057287334072e-06,
  -5.412975102016e-06,-6.769689415027e-06,-8.127067139245e-06,-9.484744299196e-06,
  -1.08423561743e-05,-1.219953739572e-05,-1.355592204364e-05,-1.491114374475e-05,
  -1.626483577016e-05,-1.761663113347e-05,-1.896616268918e-05,-2.031306323124e-05,
  -2.165696559189e-05,-2.299750274056e-05,-2.433430788301e-05,-2.566701456052e-05,
  -2.69952567492e-05,-2.831866895934e-05,-2.963688633485e-05,-3.094954475264e-05,
  -3.225628092201e-05, -3.3556732484e-05,-3.485053811071e-05,-3.613733760441e-05,
  -3.741677199665e-05,-3.868848364715e-05,-3.995211634249e-05,-4.120731539469e-05,
  -4.245372773945e-05,-4.369100203417e-05,-4.491878875573e-05,-4.613674029789e-05,
  -4.734451106837e-05,-4.854175758559e-05,-4.972813857499e-05,-5.09033150649e-05,
  -5.206695048208e-05,-5.32187107466e-05,-5.435826436641e-05,-5.548528253125e-05,
  -5.659943920608e-05,-5.770041122391e-05,-5.878787837799e-05,-5.986152351344e-05,
  -6.092103261815e-05,-6.196609491306e-05,-6.299640294172e-05,-6.401165265903e-05,
  -6.501154351938e-05,-6.599577856386e-05,-6.696406450675e-05,-6.791611182114e-05,
  -6.88516348237e-05,-6.977035175856e-05,-7.067198488031e-05,-7.155626053603e-05,
  -7.242290924641e-05,-7.327166578584e-05,-7.410226926157e-05,-7.491446319175e-05,
  -7.570799558253e-05, -7.6482619004e-05,-7.723809066509e-05,-7.797417248735e-05,
  -7.869063117756e-05,-7.938723829922e-05,-8.006377034286e-05,-8.072000879512e-05,
  -8.135574020664e-05,-8.197075625869e-05,-8.256485382851e-05,-8.313783505349e-05,
  -8.368950739387e-05,-8.421968369425e-05,-8.472818224372e-05,-8.521482683466e-05,
  -8.567944682007e-05,-8.612187716965e-05,-8.654195852433e-05,-8.69395372495e-05,
  -8.731446548664e-05,-8.766660120367e-05,-8.799580824365e-05,-8.830195637212e-05,
  -8.858492132284e-05,-8.884458484203e-05,-8.908083473112e-05,-8.929356488789e-05,
  -8.948267534602e-05,-8.964807231315e-05,-8.978966820726e-05,-8.990738169151e-05,
  -9.000113770739e-05,-9.00708675063e-05,-9.011650867945e-05,-9.013800518614e-05,
  -9.013530738035e-05,-9.010837203566e-05,-9.00571623685e-05,-8.998164805967e-05,
  -8.988180527424e-05,-8.975761667964e-05,-8.960907146207e-05,-8.943616534124e-05,
  -8.92389005833e-05,-8.901728601206e-05,-8.877133701846e-05,-8.850107556831e-05,
  -8.820653020825e-05,-8.788773606997e-05,-8.754473487262e-05,-8.717757492351e-05,
  -8.678631111701e-05,-8.637100493164e-05,-8.593172442549e-05,-8.54685442297e-05,
  -8.49815455403e-05,-8.447081610821e-05,-8.393645022746e-05,-8.337854872161e-05,
  -8.279721892842e-05,-8.219257468273e-05,-8.156473629757e-05,-8.091383054343e-05,
  -8.023999062587e-05,-7.954335616122e-05,-7.882407315065e-05,-7.808229395234e-05,
  -7.731817725201e-05,-7.653188803162e-05,-7.57235975363e-05,-7.489348323964e-05,
  -7.404172880712e-05,-7.316852405789e-05,-7.227406492478e-05,-7.135855341261e-05,
  -7.042219755481e-05,-6.94652113683e-05,-6.848781480667e-05,-6.749023371178e-05,
  -6.647269976355e-05,-6.543545042816e-05,-6.437872890463e-05,-6.330278406968e-05,
  -6.220787042102e-05,-6.109424801903e-05,-5.996218242681e-05,-5.881194464861e-05,
  -5.76438110668e-05,-5.645806337715e-05,-5.525498852263e-05,-5.40348786257e-05,
-5.2798030919e-05,-5.154474767465e-05,-5.027533613195e-05,-4.899010842373e-05,
  -4.768938150118e-05,-4.637347705722e-05,-4.504272144858e-05,-4.369744561631e-05,
  -4.23379850051e-05,-4.096467948109e-05,-3.957787324843e-05,-3.81779147645e-05,
  -3.676515665381e-05,-3.533995562068e-05,-3.390267236059e-05,-3.245367147038e-05,
  -3.099332135715e-05,-2.952199414609e-05,-2.804006558698e-05,-2.654791495971e-05,
  -2.504592497861e-05,-2.353448169562e-05,-2.201397440254e-05,-2.048479553207e-05,
  -1.894734055798e-05,-1.740200789411e-05,-1.58491987926e-05,-1.428931724098e-05,
  -1.27227698585e-05,-1.114996579144e-05,-9.571316607619e-06,-7.987236190078e-06,
  -6.398140629894e-06,-4.804448118245e-06,-3.20657883771e-06,-1.604954852835e-06,
  4.810684555582e-19,1.607860223398e-06, 3.21819877039e-06,4.830587156511e-06,
  6.444595572457e-06,8.059792997307e-06,9.675747312259e-06,1.129202541489e-05,
  1.290819333384e-05,1.452381634402e-05,1.613845908212e-05,1.775168566257e-05,
  1.936305979384e-05,2.097214489503e-05,2.257850421279e-05,2.418170093844e-05,
  2.578129832536e-05,2.737685980654e-05,2.896794911236e-05,3.055413038838e-05,
  3.213496831336e-05,3.371002821726e-05,3.527887619931e-05,3.684107924608e-05,
  3.839620534952e-05,3.994382362495e-05,4.148350442895e-05,4.301481947713e-05,
  4.453734196172e-05,4.605064666905e-05,4.755431009672e-05,4.904791057056e-05,
  5.053102836135e-05,5.200324580111e-05,5.346414739919e-05,5.491331995788e-05,
  5.635035268761e-05,5.777483732181e-05,5.918636823115e-05,6.058454253739e-05,
  6.196896022667e-05,6.333922426218e-05,6.469494069629e-05,6.603571878203e-05,
6.73611710839e-05,6.867091358799e-05,6.996456581142e-05,7.124175091093e-05,
7.25020957908e-05,7.374523120986e-05,7.497079188772e-05,7.617841661009e-05,
  7.736774833321e-05,7.853843428735e-05,7.969012607931e-05,8.082247979398e-05,
  8.193515609485e-05,8.302782032346e-05,8.410014259777e-05,8.515179790948e-05,
  8.618246622011e-05,8.719183255601e-05,8.817958710212e-05,8.914542529455e-05,
  9.008904791188e-05, 9.10101611652e-05,9.190847678688e-05,9.278371211796e-05,
  9.363559019421e-05,9.446383983087e-05,9.526819570588e-05,9.604839844175e-05,
  9.680419468602e-05,9.753533719011e-05,9.824158488683e-05,9.892270296624e-05,
  9.957846295004e-05,0.0001002086427644,0.0001008130268109,0.0001013914060368,
0.000101943578002,0.0001024693469463,0.0001029685238532,0.0001034409265137,
  0.0001038863795867,0.0001043047146587,0.0001046957703021,0.0001050593921301,
  0.0001053954328519,0.0001057037523241, 0.000105984217602,0.0001062367029879,
  0.0001064610900776,0.0001066572678062,0.0001068251324901,0.0001069645878689,
  0.0001070755451443,0.0001071579230175,0.0001072116477241,0.0001072366530684,
  0.0001072328804535, 0.000107200278912,0.0001071388051325,0.0001070484234852,
  0.0001069291060457,0.0001067808326159,0.0001066035907432,0.0001063973757384,
  0.0001061621906902,0.0001058980464789, 0.000105604961787,0.0001052829631087,
  0.0001049320847562,0.0001045523688653,0.0001041438653974,0.0001037066321405,
  0.0001032407347079,0.0001027462465341,0.0001022232488697,0.0001016718307732,
  0.0001010920891014,0.0001004841284969,9.984806137473e-05,9.918400790541e-05,
  9.849209599697e-05,9.777246127437e-05,9.702524705696e-05,9.625060433376e-05,
  9.544869173671e-05,9.461967551176e-05, 9.37637294879e-05,9.288103504406e-05,
  9.197178107397e-05,9.103616394889e-05,9.007438747831e-05,8.908666286852e-05,
  8.807320867921e-05,8.703425077793e-05,8.597002229253e-05,8.488076356162e-05,
  8.376672208291e-05,8.262815245961e-05,8.146531634479e-05,8.027848238377e-05,
  7.906792615447e-05, 7.78339301059e-05,7.657678349458e-05, 7.52967823191e-05,
  7.399422925267e-05,7.266943357388e-05,7.132271109541e-05,  6.9954384091e-05,
  6.856478122044e-05,6.715423745279e-05,6.572309398773e-05,6.427169817509e-05,
  6.280040343262e-05,6.130956916195e-05, 5.97995606628e-05,5.827074904546e-05,
  5.672351114155e-05,5.515822941308e-05,5.357529185984e-05,5.197509192513e-05,
  5.035802839987e-05, 4.87245053251e-05,4.707493189289e-05,4.540972234566e-05,
  4.372929587406e-05,4.203407651322e-05,4.032449303758e-05,3.860097885426e-05,
  3.686397189496e-05,3.511391450649e-05,3.335125333991e-05,3.157643923827e-05,
2.97899271231e-05,2.799217587953e-05,2.618364824021e-05,2.436481066791e-05,
  2.253613323699e-05, 2.06980895136e-05,1.885115643483e-05,1.699581418666e-05,
  1.513254608081e-05,1.326183843063e-05,1.138418042586e-05, 9.50006400641e-06,
  7.609983735237e-06,5.714436670225e-06, 3.81392223519e-06,1.908942090025e-06,
  -1.430102384438e-19,-1.912398295731e-06,-3.827745216385e-06,-5.745531472547e-06,
  -7.665246199854e-06,-9.586377093342e-06,-1.150841054243e-05,-1.343083176647e-05,
  -1.535312495092e-05,-1.727477338392e-05,-1.919525959349e-05,-2.111406548508e-05,
  -2.303067247956e-05,-2.494456165161e-05,-2.685521386844e-05,-2.87621099288e-05,
  -3.066473070223e-05,-3.256255726864e-05,-3.445507105798e-05,-3.634175399012e-05,
  -3.82220886148e-05,-4.009555825176e-05,-4.196164713081e-05,-4.381984053192e-05,
  -4.566962492538e-05,-4.751048811177e-05,-4.934191936186e-05,-5.116340955642e-05,
  -5.297445132578e-05,-5.477453918919e-05,-5.656316969397e-05,-5.833984155427e-05,
  -6.010405578959e-05,-6.185531586289e-05,-6.359312781828e-05,-6.531700041828e-05,
  -6.702644528059e-05,-6.872097701437e-05,-7.040011335591e-05,-7.206337530372e-05,
  -7.371028725303e-05,-7.534037712955e-05,-7.695317652258e-05,-7.854822081735e-05,
  -8.012504932657e-05,-8.168320542119e-05,-8.322223666028e-05,-8.474169492003e-05,
  -8.624113652181e-05,-8.772012235932e-05,-8.917821802465e-05,-9.061499393338e-05,
  -9.20300254486e-05,-9.342289300376e-05,-9.479318222448e-05,-9.614048404914e-05,
  -9.746439484821e-05,-9.876451654241e-05,-0.0001000404567196,-0.0001012918287502,
  -0.0001025182519017,-0.000103719351451,-0.0001048947587962,-0.0001060441115666,
  -0.0001071670537309,-0.0001082632357045,-0.0001093323144545,-0.0001103739536044,
  -0.0001113878235355,-0.0001123736014881,-0.0001133309716603,-0.0001142596253054,
  -0.0001151592608274,-0.000116029583875,-0.0001168703074335,-0.0001176811519151,
  -0.0001184618452475,-0.0001192121229603,-0.0001199317282697,-0.0001206204121615,
  -0.0001212779334715,-0.0001219040589652,-0.0001224985634137,-0.0001230612296695,
  -0.0001235918487387,-0.0001240902198523,-0.0001245561505345,-0.0001249894566697,
  -0.0001253899625669,-0.0001257575010218,-0.0001260919133776,-0.0001263930495822,
  -0.0001266607682449,-0.0001268949366891,-0.0001270954310046,-0.0001272621360958,
  -0.0001273949457291,-0.0001274937625772,-0.0001275584982614,-0.0001275890733913,
  -0.0001275854176028,-0.0001275474695928,-0.0001274751771522,-0.0001273684971965,
  -0.0001272273957938,-0.0001270518481905,-0.0001268418388341,-0.0001265973613949,
  -0.0001263184187836,-0.0001260050231675,-0.0001256571959842,-0.0001252749679522,
  -0.0001248583790799,-0.0001244074786714,-0.0001239223253302,-0.0001234029869603,
  -0.0001228495407648,-0.0001222620732421,-0.0001216406801794,-0.000120985466644,
  -0.0001202965469718,-0.0001195740447535,-0.000118818092818,-0.0001180288332139,
  -0.0001172064171878,-0.0001163510051604,-0.0001154627667001,-0.0001145418804945,
  -0.0001135885343182,-0.0001126029249998,-0.0001115852583847,-0.000110535749297,
  -0.0001094546214975,-0.0001083421076403,-0.0001071984492263,-0.0001060238965547,
  -0.0001048187086716,-0.0001035831533165,-0.0001023175068663,-0.0001010220542768,
  -9.969708902168e-05,-9.834291302963e-05,-9.695983661835e-05,-9.554817842674e-05,
  -9.41082653445e-05,-9.264043243948e-05,-9.114502288259e-05,-8.962238787057e-05,
  -8.807288654633e-05,-8.649688591708e-05,-8.489476077021e-05,-8.326689358686e-05,
  -8.161367445343e-05,-7.993550097068e-05,-7.823277816084e-05,-7.650591837246e-05,
  -7.475534118316e-05,-7.298147330022e-05,-7.118474845919e-05,-6.936560732032e-05,
  -6.752449736298e-05,-6.566187277809e-05,-6.377819435856e-05,-6.187392938769e-05,
  -5.994955152574e-05,-5.800554069449e-05,-5.604238295997e-05,-5.406057041331e-05,
  -5.206060104976e-05,-5.004297864591e-05,-4.800821263518e-05,-4.595681798148e-05,
  -4.388931505123e-05,-4.180622948373e-05,-3.970809205975e-05,-3.759543856867e-05,
  -3.546880967392e-05,-3.332875077691e-05,-3.117581187946e-05,-2.901054744473e-05,
  -2.68335162567e-05,-2.464528127825e-05,-2.244640950785e-05,-2.023747183493e-05,
  -1.801904289393e-05,-1.579170091707e-05,-1.355602758595e-05,-1.131260788185e-05,
  -9.062029934994e-06,-6.804884872621e-06,-4.54176666599e-06,-2.273271976368e-06,
  1.532759360715e-19,2.277447687878e-06,4.558467289937e-06,6.842452944542e-06,
9.12879688438e-06,1.141688959587e-05,1.370611997936e-05, 1.599587551e-05,
1.82855423993e-05,2.057450575738e-05,2.286214975569e-05, 2.51478577904e-05,
2.74310126462e-05,2.971099666061e-05,3.198719188873e-05,3.425898026825e-05,
  3.652574378498e-05,3.878686463849e-05,4.104172540806e-05,4.328970921887e-05,
  4.553019990831e-05,4.776258219237e-05,4.998624183214e-05,5.220056580034e-05,
  5.440494244778e-05,5.659876166981e-05,5.878141507262e-05,6.095229613938e-05,
  6.311080039623e-05,6.525632557798e-05,6.738827179348e-05, 6.95060416908e-05,
  7.160904062186e-05,7.369667680673e-05,7.576836149749e-05,7.782350914144e-05,
  7.986153754394e-05,8.188186803048e-05,8.388392560819e-05,8.586713912667e-05,
  8.783094143801e-05, 8.97747695561e-05, 9.16980648151e-05,9.360027302701e-05,
  9.548084463837e-05,9.733923488596e-05,9.917490395158e-05,0.0001009873171157,
0.00010277594491,0.0001045402632691,0.0001062797536805,0.0001079939033338,
  0.0001096822052689,0.0001113441585219,0.0001129792682709,0.0001145870459793,
  0.0001161670095389,0.0001177186834099,0.0001192415987614,0.0001207352936083,
  0.0001221993129485,0.0001236332088969,0.0001250365408191,0.0001264088754621,
  0.0001277497870844,0.0001290588575836,0.0001303356766226,0.0001315798417536,
  0.0001327909585405,0.0001339686406793,0.0001351125101166,0.0001362221971657,
  0.0001372973406214,0.0001383375878722,0.0001393425950105,0.0001403120269409,
  0.0001412455574858,0.0001421428694896,0.0001430036549201,0.0001438276149677,
  0.0001446144601425,0.0001453639103691,0.0001460756950786,0.0001467495532991,
  0.0001473852337429,0.0001479824948916,0.0001485411050792, 0.000149060842572,
0.000149541495646,0.0001499828626629,0.0001503847521419,0.0001507469828301,
  0.0001510693837699,0.0001513517943637,0.0001515940644359,0.0001517960542928,
  0.0001519576347788,0.0001520786873308,0.0001521591040296,0.0001521987876481,
  0.0001521976516974,0.0001521556204697,0.0001520726290783,0.0001519486234955,
  0.0001517835605866,0.0001515774081419,0.0001513301449054,0.0001510417606011,
  0.0001507122559553,0.0001503416427177,0.0001499299436779,0.0001494771926804,
  0.0001489834346353,0.0001484487255273,0.0001478731324213,0.0001472567334644,
  0.0001465996178861,0.0001459018859946,0.0001451636491706,0.0001443850298582,
  0.0001435661615523,0.0001427071887836,0.0001418082671002,0.0001408695630468,
0.00013989125414,0.0001388735288414,0.0001378165865277,0.0001367206374572,
  0.0001355859027339,0.0001344126142686,0.0001332010147367,0.0001319513575333,
  0.0001306639067256,0.0001293389370016,0.0001279767336164,0.0001265775923359,
  0.0001251418193769,0.0001236697313446,0.0001221616551671,0.0001206179280274,
  0.0001190388972921,0.0001174249204374,0.0001157763649723,0.0001140936083586,
  0.0001123770379292,0.0001106270508021,0.0001088440537926,0.0001070284633228,
  0.0001051807053276,0.0001033012151589,0.0001013904374863,9.944882619574e-05,
9.74768442853e-05,9.547496375805e-05, 9.34436655128e-05,9.138343923194e-05,
  8.929478326682e-05,8.717820452067e-05,8.503421832887e-05,8.286334833688e-05,
  8.066612637565e-05,7.844309233467e-05,7.619479403253e-05,7.392178708524e-05,
  7.162463477217e-05,6.930390789967e-05,6.696018466246e-05,6.459405050278e-05,
  6.220609796735e-05,5.979692656216e-05,5.736714260512e-05,5.491735907664e-05,
  5.244819546812e-05,4.996027762846e-05,4.745423760858e-05,4.493071350394e-05,
  4.239034929523e-05,3.983379468714e-05,3.726170494534e-05,3.467474073161e-05,
  3.207356793728e-05,2.945885751498e-05,2.683128530864e-05,2.419153188194e-05,
  2.154028234514e-05,1.887822618044e-05,1.620605706575e-05,1.352447269707e-05,
  1.083417460946e-05,8.135867996679e-06, 5.43026152941e-06,2.718067172353e-06,
  -1.629082746534e-19,-2.723221988732e-06,-5.450878056984e-06,-8.18224491754e-06,
  -1.091659692142e-05,-1.365320624748e-05,-1.639134309292e-05,-1.913027586468e-05,
  -2.186927137174e-05,-2.460759501805e-05,-2.734451099637e-05,-3.007928248271e-05,
  -3.281117183135e-05,-3.553944077061e-05,-3.826335059894e-05,-4.098216238168e-05,
  -4.369513714816e-05,-4.640153608916e-05,-4.910062075475e-05,-5.179165325237e-05,
  -5.447389644516e-05,-5.714661415043e-05,-5.980907133828e-05,-6.246053433022e-05,
  -6.510027099792e-05,-6.772755096176e-05,-7.034164578944e-05,-7.294182919435e-05,
  -7.552737723376e-05,-7.809756850675e-05,-8.065168435189e-05,-8.318900904445e-05,
  -8.570882999329e-05,-8.821043793729e-05,-9.069312714114e-05,-9.315619559074e-05,
  -9.559894518777e-05,-9.80206819438e-05,-0.0001004207161735,-0.000102798362687,
  -0.0001051529409817,-0.0001074837754332,-0.0001097901954845,-0.0001120715358356,
  -0.0001143271366304,-0.0001165563436443,-0.0001187585084689,-0.0001209329886969,
  -0.0001230791481049,-0.0001251963568351,-0.0001272839915759,-0.0001293414357407,
  -0.0001313680796456,-0.0001333633206855,-0.0001353265635082,-0.0001372572201876,
  -0.0001391547103951,-0.0001410184615686,-0.0001428479090806,-0.0001446424964041,
  -0.0001464016752767,-0.000148124905863,-0.0001498116569145,-0.0001514614059283,
  -0.0001530736393032,-0.0001546478524937,-0.0001561835501624,-0.0001576802463299,
  -0.000159137464522,-0.0001605547379157,-0.000161931609482,-0.0001632676321269,
  -0.0001645623688295,-0.0001658153927785,-0.0001670262875051,-0.0001681946470145,
  -0.0001693200759143,-0.0001704021895402,-0.0001714406140792,-0.0001724349866907,
  -0.0001733849556239,-0.0001742901803334,-0.0001751503315912,-0.0001759650915966,
  -0.0001767341540829,-0.0001774572244213,-0.0001781340197219,-0.0001787642689319,
  -0.0001793477129303,-0.0001798841046206,-0.0001803732090192,-0.0001808148033418,
  -0.0001812086770866,-0.0001815546321133,-0.0001818524827204,-0.0001821020557187,
  -0.0001823031905012,-0.0001824557391105,-0.0001825595663025,-0.000182614549607,
  -0.000182620579385,-0.0001825775588829,-0.0001824854042826,-0.0001823440447492,
  -0.0001821534224751,-0.0001819134927198,-0.0001816242238481,-0.0001812855973628,
  -0.0001808976079356,-0.0001804602634337,-0.0001799735849431,-0.000179437606789,
  -0.0001788523765513,-0.0001782179550783,-0.0001775344164958,-0.0001768018482128,
  -0.0001760203509242,-0.0001751900386093,-0.0001743110385273,-0.0001733834912088,
  -0.0001724075504442,-0.0001713833832683,-0.0001703111699411,-0.0001691911039257,
  -0.0001680233918617,-0.0001668082535363,-0.0001655459218507,-0.0001642366427831,
  -0.0001628806753492,-0.0001614782915577,-0.0001600297763631,-0.0001585354276149,
  -0.0001569955560033,-0.0001554104850006,-0.0001537805508007,-0.0001521061022531,
  -0.0001503875007951,-0.0001486251203798,-0.0001468193474001,-0.0001449705806106,
  -0.0001430792310447,-0.0001411457219289,-0.000139170488594,-0.0001371539783821,
  -0.0001350966505509,-0.0001329989761744,-0.0001308614380401,-0.0001286845305431,
  -0.0001264687595772,-0.0001242146424217,-0.0001219227076264,-0.0001195934948919,
  -0.000117227554948,-0.0001148254494281,-0.0001123877507406,-0.0001099150419373,
  -0.0001074079165789,-0.0001048669785972,-0.0001022928421539,-9.968613149762e-05,
  -9.704748081624e-05,-9.437753408789e-05,-9.167694492807e-05,-8.894637643434e-05,
  -8.618650102801e-05,-8.33980002931e-05,-8.058156481257e-05,-7.773789400182e-05,
  -7.486769593946e-05,-7.197168719557e-05,-6.905059265723e-05,-6.61051453516e-05,
  -6.313608626646e-05,-6.014416416825e-05,-5.713013541771e-05,-5.40947637832e-05,
  -5.103882025157e-05,-4.796308283683e-05,-4.486833638654e-05,-4.175537238603e-05,
  -3.862498876047e-05,-3.547798967478e-05,-3.231518533159e-05,-2.913739176713e-05,
  -2.59454306452e-05,-2.274012904922e-05,-1.952231927245e-05,-1.629283860642e-05,
  -1.305252912758e-05,-9.80223748232e-06,-6.542814670285e-06,-3.275115826183e-06,
  1.717672415741e-19,3.281670064212e-06,6.569028150985e-06,9.861204797436e-06,
  1.315732751857e-05,1.645652103382e-05,1.975790749482e-05,2.306060671422e-05,
  2.636373639565e-05,2.966641236468e-05, 3.29677488007e-05,3.626685846973e-05,
  3.956285295802e-05,4.285484290649e-05,4.614193824583e-05,4.942324843223e-05,
  5.269788268379e-05,5.596495021735e-05,5.922356048588e-05,6.247282341619e-05,
  6.571184964708e-05,6.893975076767e-05,7.215563955601e-05,7.535863021782e-05,
  7.854783862535e-05,8.172238255623e-05,8.488138193231e-05,8.802395905838e-05,
  9.114923886076e-05,9.425634912566e-05,9.734442073721e-05,0.0001004125879152,
  0.0001034599884523,0.0001064857639509,0.0001094890600596,0.0001124690267085,
  0.0001154248183444, 0.000118355594165,0.0001212605183523,0.0001241387603056,
  0.0001269894948726,0.0001298119025803,0.0001326051698649,0.0001353684892998,
  0.0001381010598236,0.0001408020869655,0.0001434707830708,0.0001461063675238,
  0.0001487080669701,0.0001512751155371,0.0001538067550528,0.0001563022352636,
  0.0001587608140494,0.0001611817576383,0.0001635643408181, 0.000165907847147,
  0.0001682115691622,0.0001704748085858,  0.00017269687653,0.0001748770936986,
  0.0001770147905879,0.0001791093076845, 0.000181159995661,0.0001831662155691,
  0.0001851273390317,0.0001870427484302, 0.000188911837092, 0.000190734009473,
  0.0001925086813395,0.0001942352799462, 0.000195913244212, 0.000197542024893,
  0.0001991210847529,0.0002006498987298,0.0002021279541013,0.0002035547506457,
  0.0002049298008005,0.0002062526298179,0.0002075227759172,0.0002087397904342,
0.000209903237967,0.0002110126965192,0.0002120677576392,0.0002130680265566,
  0.0002140131223151,0.0002149026779021,0.0002157363403747,0.0002165137709823,
  0.0002172346452857,0.0002178986532729,0.0002185054994707, 0.000219054903053,
  0.0002195465979459,0.0002199803329283,0.0002203558717289,0.0002206729931204,
  0.0002209314910084,0.0002211311745176,0.0002212718680737,0.0002213534114816,
  0.0002213756599992, 0.000221338484408,0.0002212417710792,0.0002210854220357,
  0.0002208693550108,0.0002205935035019, 0.000220257816821,0.0002198622601403,
  0.0002194068145346,0.0002188914770185,0.0002183162605807,0.0002176811942127,
  0.0002169863229348,0.0002162317078168,0.0002154174259949,0.0002145435706843,
0.000213610251188,0.0002126175929005,0.0002115657373079,0.0002104548419839,
  0.0002092850805805,0.0002080566428158,0.0002067697344562,0.0002054245772956,
  0.0002040214091291,0.0002025604837233,0.0002010420707818,0.0001994664559066,
  0.0001978339405554, 0.000196144841994,0.0001943994932454,0.0001925982430333,
  0.0001907414557227,0.0001888295112555,0.0001868628050816,0.0001848417480865,
0.000182766766514,0.0001806383018851,0.0001784568109126,0.0001762227654111,
  0.0001739366522034,0.0001715989730228,0.0001692102444101,0.0001667709976081,
  0.0001642817784509,0.0001617431472492,0.0001591556786722,0.0001565199616246,
0.00015383659912,0.0001511062081507,0.0001483294195526,0.0001455068778668,
  0.0001426392411974,0.0001397271810648,0.0001367713822559,0.0001337725426699,
  0.0001307313731603,0.0001276485973739,0.0001245249515849,0.0001213611845265,
0.000118158057218,0.0001149163427886,0.0001116368262977,0.0001083203045518,
  0.0001049675859172,0.0001015794901303,9.815684810363e-05,9.470050172905e-05,
  9.121130367728e-05,8.769011719442e-05, 8.41378158951e-05,8.055528355257e-05,
  7.694341388556e-05,7.330311034211e-05, 6.96352858804e-05,6.594086274658e-05,
  6.222077224966e-05,5.847595453358e-05,5.470735834646e-05,5.091594080706e-05,
  4.710266716853e-05,4.326851057962e-05,3.941445184314e-05,3.554147917204e-05,
  3.165058794292e-05,2.774278044719e-05,2.381906563984e-05,1.988045888592e-05,
  1.592798170487e-05,1.196266151258e-05,7.985531361394e-06,3.997629678122e-06,
  -1.797240657034e-19,-4.006309291196e-06,-8.020245236899e-06,-1.204075057127e-05,
  -1.606676399243e-05,-2.009722043532e-05,-2.413105134612e-05,-2.816718495821e-05,
  -3.220454656952e-05,-3.624205882124e-05,-4.027864197789e-05,-4.43132142085e-05,
  -4.834469186903e-05,-5.237198978583e-05,-5.639402154009e-05,-6.040969975328e-05,
  -6.441793637334e-05,-6.841764296179e-05,-7.240773098146e-05,-7.638711208486e-05,
  -8.035469840315e-05,-8.43094028356e-05,-8.825013933941e-05,-9.217582321994e-05,
  -9.608537142109e-05,-9.997770281605e-05,-0.0001038517384979,-0.0001077064020707,
  -0.0001115406199396,-0.0001153533216023,-0.0001191434399388,-0.0001229099115019,
  -0.0001266516768068,-0.0001303676806207,-0.0001340568722514,-0.000137718205836,
  -0.000141350640628,-0.0001449531412847,-0.000148524678153,-0.0001520642275546,
  -0.0001555707720705,-0.000159043300824,-0.0001624808097627,-0.0001658823019397,
  -0.0001692467877928,-0.0001725732854231,-0.0001758608208718,-0.0001791084283955,
  -0.0001823151507398,-0.0001854800394118,-0.0001886021549504,-0.0001916805671945,
  -0.0001947143555503,-0.000197702609256,-0.0002006444276441,-0.0002035389204025,
  -0.0002063852078332,-0.000209182421108,-0.0002119297025229,-0.0002146262057494,
  -0.000217271096084,-0.0002198635506944,-0.0002224027588639,-0.0002248879222322,
  -0.0002273182550349,-0.0002296929843382,-0.0002320113502729,-0.0002342726062638,
  -0.0002364760192568,-0.0002386208699431,-0.0002407064529796,-0.000242732077207,
  -0.0002446970658636,-0.0002466007567971,-0.0002484425026714,-0.0002502216711713,
  -0.0002519376452031,-0.0002535898230917,-0.0002551776187741,-0.0002567004619891,
  -0.0002581577984635,-0.0002595490900944,-0.0002608738151273,-0.000262131468331,
  -0.0002633215611677, -0.00026444362196,-0.0002654971960527,-0.0002664818459717,
  -0.0002673971515779,-0.000268242710217,-0.0002690181368653,-0.0002697230642709,
  -0.0002703571430907,-0.0002709200420233,-0.0002714114479362,-0.0002718310659905,
  -0.0002721786197592,-0.0002724538513419,-0.0002726565214747,-0.0002727864096353,
  -0.0002728433141438,-0.0002728270522579,-0.0002727374602646,-0.0002725743935659,
  -0.0002723377267603,-0.0002720273537193,-0.0002716431876592,-0.0002711851612074,
  -0.0002706532264645,-0.0002700473550608,-0.0002693675382081,-0.0002686137867465,
  -0.000267786131186,-0.0002668846217428,-0.0002659093283712,-0.0002648603407899,
  -0.0002637377685029,-0.0002625417408158,-0.0002612724068468,-0.0002599299355322,
  -0.0002585145156272,-0.000257026355701,-0.0002554656841268,-0.0002538327490673,
  -0.0002521278184537,-0.0002503511799604,-0.0002485031409741,-0.0002465840285579,
-0.00024459418941,-0.0002425339898167,-0.0002404038156012,-0.0002382040720662,
  -0.0002359351839315,-0.0002335975952669,-0.0002311917694189,-0.0002287181889334,
  -0.0002261773554717,-0.0002235697897227,-0.000220896031309,-0.0002181566386882,
  -0.0002153521890491,-0.0002124832782025,-0.0002095505204667,-0.0002065545485486,
  -0.0002034960134192,-0.0002003755841838,-0.0001971939479476,-0.0001939518096764,
  -0.0001906498920514,-0.0001872889353204,-0.0001838696971426,-0.0001803929524295,
  -0.0001768594931808,-0.0001732701283148,-0.0001696256834947,-0.0001659270009498,
  -0.0001621749392918,-0.000158370373327,-0.0001545141938628,-0.0001506073075106,
  -0.0001466506364836,-0.0001426451183899,-0.0001385917060215,-0.0001344913671386,
  -0.0001303450842497,-0.0001261538543866,-0.0001219186888765,-0.0001176406131081,
  -0.0001133206662951,-0.000108959901234,-0.0001045593840595,-0.0001001201939942,
  -9.564342309513e-05,-9.113017599653e-05,-8.658156964814e-05,-8.199873305007e-05,
  -7.738280698377e-05,-7.27349437393e-05,-6.805630683896e-05,-6.334807075739e-05,
  -5.861142063807e-05,-5.384755200645e-05,-4.905767047964e-05,-4.424299147283e-05,
  -3.940473990244e-05,-3.454414988609e-05,-2.966246443949e-05,-2.476093517028e-05,
  -1.984082196894e-05,-1.490339269675e-05,-9.949922870987e-06,-4.981695347404e-06,
1.86663089172e-19,4.993866601763e-06,9.998601518247e-06,1.501289576737e-05,
  2.003543465465e-05,2.506489810555e-05,    3.0099961e-05,3.513929350898e-05,
  4.018156143318e-05,4.522542654356e-05,5.026954692379e-05,5.531257731441e-05,
  6.035316945873e-05,6.538997245029e-05,7.042163308183e-05,7.544679619568e-05,
  8.046410503554e-05,8.547220159939e-05,9.046972699371e-05,9.545532178861e-05,
  0.0001004276263741, 0.000105385281317,0.0001103269277191,0.0001152512075754,
  0.0001201567641335,0.0001250422422534,0.0001299062887675, 0.000134747552841,
  0.0001395646863328,0.0001443563441565,0.0001491211846409,0.0001538578698917,
  0.0001585650661512,  0.00016324144416,0.0001678856795163,0.0001724964530366,
  0.0001770724511143,0.0001816123660788,0.0001861148965536,0.0001905787478136,
  0.0001950026321411,0.0001993852691818,0.0002037253862986,0.0002080217189253,
  0.0002122730109179,0.0002164780149059,0.0002206354926409,0.0002247442153443,
  0.0002288029640535, 0.000232810529966,0.0002367657147815, 0.000240667331043,
  0.0002445142024749,0.0002483051643195,0.0002520390636712,0.0002557147598086,
  0.0002593311245239,0.0002628870424499,0.0002663814113849,0.0002698131426145,
  0.0002731811612306,0.0002764844064479,0.0002797218319174,0.0002828924060367,
  0.0002859951122578,0.0002890289493906,0.0002919929319047,0.0002948860902262,
  0.0002977074710325,0.0003004561375427,0.0003031311698048,0.0003057316649789,
  0.0003082567376171,0.0003107055199393,0.0003130771621048,0.0003153708324808,
  0.0003175857179053,0.0003197210239479,0.0003217759751641,0.0003237498153473,
  0.0003256418077751,0.0003274512354518, 0.000329177401346,0.0003308196286239,
  0.0003323772608776,0.0003338496623491, 0.000335236218149,0.0003365363344708,
  0.0003377494387997, 0.000338874980117, 0.000339912429099,0.0003408612783108,
  0.0003417210423951,0.0003424912582557,0.0003431714852354,0.0003437613052887,
  0.0003442603231494,0.0003446681664919,0.0003449844860881,0.0003452089559573,
  0.0003453412735116,0.0003453811596953,0.0003453283591181,0.0003451826401827,
  0.0003449437952074,0.0003446116405411,0.0003441860166742, 0.000343666788342,
  0.0003430538446232,0.0003423470990314,0.0003415464896014,0.0003406519789688,
  0.0003396635544435,0.0003385812280768,0.0003374050367231,0.0003361350420942,
  0.0003347713308082,0.0003333140144313,0.0003317632295142,0.0003301191376211,
  0.0003283819253531,0.0003265518043647,0.0003246290113739,0.0003226138081665,
  0.0003205064815926, 0.000318307343558,0.0003160167310082,0.0003136350059064,
  0.0003111625552043,0.0003085997908074,0.0003059471495325,  0.00030320509306,
  0.0003003741078784,0.0002974547052232,0.0002944474210085,0.0002913528157527,
  0.0002881714744974,0.0002849040067193,0.0002815510462363,0.0002781132511068,
  0.0002745913035222,0.0002709859096932,0.0002672977997296,0.0002635277275134,
  0.0002596764705656,0.0002557448299066,0.0002517336299103,0.0002476437181509,
  0.0002434759652449,0.0002392312646853,  0.00023491053267,0.0002305147079244,
  0.0002260447515166,0.0002215016466677,0.0002168863985548,0.0002122000341081,
  0.0002074436018023,0.0002026181714418,0.0001977248339389,0.0001927647010876,
  0.0001877389053297,0.0001826485995168,0.0001774949566645,0.0001722791697023,
0.000167002451217,0.0001616660331902,0.0001562711667308,0.0001508191218016,
  0.0001453111869395,0.0001397486689715,0.0001341328927246,0.0001284652007302,
  0.0001227469529233,0.0001169795263363,0.0001111643147883, 0.000105302728568,
  9.939619411275e-05,9.344615368175e-05,8.745406502481e-05,8.142140104605e-05,
  7.534964946282e-05,6.924031245995e-05,6.309490633938e-05,5.691496116514e-05,
  5.070202040397e-05,4.445764056146e-05,3.818339081389e-05,3.188085263588e-05,
2.55516194238e-05, 1.91972961152e-05,1.281949880422e-05,6.419854353127e-06,
  -1.924834485381e-19,-6.438417037215e-06,-1.289373996034e-05,-1.936430279409e-05,
  -2.584843079266e-05,-3.234444084965e-05,-3.88506419112e-05,-4.536533539233e-05,
  -5.188681559627e-05,-5.841337013681e-05,-6.494328036344e-05,-7.14748217893e-05,
  -7.800626452171e-05,-8.453587369533e-05,-9.10619099077e-05,-9.758262965718e-05,
  -0.000104096285783,-0.0001106011279078,-0.0001170954028814,-0.0001235773552277,
  -0.000130045227592,-0.0001364972611914,-0.0001429316962656,-0.0001493467725299,
  -0.0001557407296293,-0.000162111807594,-0.0001684582472959,-0.0001747782909062,
  -0.0001810701823539,-0.0001873321677854,-0.0001935624960239,-0.0001997594190305,
  -0.0002059211923653,-0.0002120460756485,-0.000218132333022,-0.0002241782336117,
  -0.0002301820519885,-0.0002361420686305,-0.0002420565703842,-0.0002479238509256,
  -0.0002537422112208,-0.0002595099599857,-0.0002652254141458,-0.0002708868992944,
-0.00027649275015,-0.0002820413110132,-0.0002875309362216,-0.0002929599906039,
  -0.0002983268499328,-0.0003036299013756,-0.0003088675439442,-0.000314038188942,
  -0.0003191402604107,-0.0003241721955732,-0.0003291324452757,-0.0003340194744271,
  -0.0003388317624362,-0.0003435678036459,-0.0003482261077661,-0.000352805200302,
  -0.0003573036229817,-0.000361719934179,-0.0003660527093347,-0.0003703005413733,
  -0.0003744620411178,-0.0003785358377004,-0.0003825205789695,-0.0003864149318936,
  -0.0003902175829614,-0.000393927238578,-0.0003975426254568,-0.000401062491008,
  -0.0004044856037228,-0.0004078107535529,-0.0004110367522858,-0.0004141624339164,
  -0.0004171866550129,-0.0004201082950784,-0.0004229262569086,-0.0004256394669428,
  -0.0004282468756119,-0.0004307474576799,-0.0004331402125809,-0.0004354241647505,
  -0.000437598363952,-0.0004396618855973,-0.0004416138310616,-0.0004434533279933,
  -0.0004451795306174,-0.0004467916200334,-0.0004482888045072,-0.0004496703197573,
  -0.000450935429234,-0.0004520834243935,-0.0004531136249651,-0.0004540253792119,
  -0.0004548180641855,-0.0004554910859737,-0.0004560438799424,-0.0004564759109695,
  -0.0004567866736735,-0.0004569756926341,-0.0004570425226065,-0.0004569867487284,
  -0.0004568079867205,-0.000456505883079,-0.0004560801152619,-0.0004555303918668,
  -0.0004548564528031,-0.0004540580694549,-0.0004531350448378,-0.000452087213748,
  -0.0004509144429031,-0.0004496166310762,-0.0004481937092218,-0.0004466456405943,
  -0.000444972420858,-0.0004431740781904,-0.0004412506733769,-0.0004392022998977,
  -0.0004370290840064,-0.0004347311848018, -0.00043230879429,-0.0004297621374399,
  -0.0004270914722296,-0.0004242970896853,-0.0004213793139113,-0.0004183385021127,
  -0.0004151750446091,-0.0004118893648407,-0.0004084819193651,-0.0004049531978472,
  -0.0004013037230395,-0.0003975340507548,-0.0003936447698304,-0.0003896365020836,
  -0.0003855099022592,-0.0003812656579683,-0.0003769044896194,-0.0003724271503396,
  -0.0003678344258893,-0.0003631271345667,-0.0003583061271055,-0.0003533722865625,
  -0.0003483265281984,-0.0003431697993489,-0.0003379030792885,-0.0003325273790849,
  -0.0003270437414458,-0.0003214532405568,-0.0003157569819116,-0.0003099561021329,
  -0.0003040517687862,-0.0002980451801841,-0.0002919375651835,-0.0002857301829735,
  -0.0002794243228559,-0.0002730213040173,-0.0002665224752926,-0.0002599292149214,
  -0.0002532429302951,-0.0002464650576972,-0.0002395970620345,-0.0002326404365615,
  -0.0002255967025956,-0.0002184674092256,-0.0002112541330121,-0.0002039584776794,
  -0.0001965820738009,-0.0001891265784761,-0.0001815936750001,-0.0001739850725256,
  -0.000166302505718,-0.000158547734402,-0.000150722543202,-0.0001428287411744,
  -0.0001348681614333,-0.0001268426607686,-0.0001187541192574,-0.0001106044398683,
  -0.0001023955480588,-9.412939136558e-05,-8.580793898898e-05,-7.743318136957e-05,
  -6.900712975906e-05,-6.053181578436e-05,-5.20092910053e-05,-4.344162646605e-05,
  -3.483091224031e-05,-2.617925697039e-05,-1.748878740024e-05,-8.761647902541e-06,
  1.971005409059e-19,8.793978119158e-06,1.761809209128e-05,2.647013187293e-05,
  3.534787224197e-05,4.424907330397e-05, 5.31714810038e-05,6.211282764236e-05,
  7.107083239832e-05, 8.00432018547e-05,8.902763053027e-05,9.802180141557e-05,
  0.0001070233865135,0.0001160300473843,0.0001250394356949,0.0001340491937723,
  0.0001430569551614,0.0001520603451861,0.0001610569815149,0.0001700444747298,
  0.0001790204288989,0.0001879824421524,0.0001969281072619,0.0002058550122228,
  0.0002147607408401,0.0002236428733167,0.0002324989868444,0.0002413266561984,
0.000250123454333,0.0002588869529809, 0.000267614723254,0.0002763043362466,
  0.0002849533636405,0.0002935593783119,  0.00030211995494, 0.000310632670617,
  0.0003190951054602,0.0003275048432242,0.0003358594719152,0.0003441565844059,
  0.0003523937790509,0.0003605686603039,0.0003686788393338,0.0003767219346428,
  0.0003846955726836,0.0003925973884775,0.0004004250262315,0.0004081761399568,
  0.0004158483940849, 0.000423439464085,  0.00043094703708,0.0004383688124614,
  0.0004457025025042,0.0004529458329798,0.0004600965437682,0.0004671523894686,
  0.0004741111400088,0.0004809705812525,0.0004877285156049,0.0004943827626169,
0.000500931159586,0.0005073715621563,0.0005137018449151,0.0005199199019871,
  0.0005260236476266,0.0005320110168059,0.0005378799658011,0.0005436284727751,
  0.0005492545383566,0.0005547561862164,0.0005601314636395,0.0005653784420937,
  0.0005704952177945,0.0005754799122659,0.0005803306728968,0.0005850456734933,
  0.0005896231148266,0.0005940612251763,0.0005983582608689,0.0006025125068112,
  0.0006065222770194,0.0006103859151423,0.0006141017949796,0.0006176683209948,
  0.0006210839288225,0.0006243470857697,0.0006274562913121,0.0006304100775833,
  0.0006332070098592,0.0006358456870351,0.0006383247420969,0.0006406428425861,
  0.0006427986910578,0.0006447910255321,0.0006466186199386,0.0006482802845545,
  0.0006497748664344,0.0006511012498343,0.0006522583566271,0.0006532451467117,
  0.0006540606184137,0.0006547038088785,0.0006551737944575,0.0006554696910854,
  0.0006555906546498,0.0006555358813531,0.0006553046080655,0.0006548961126703,
  0.0006543097144004,0.0006535447741664,0.0006526006948761,0.0006514769217451,
  0.0006501729425993,0.0006486882881669,0.0006470225323635,0.0006451752925664,
  0.0006431462298805,0.0006409350493948,0.0006385415004297,0.0006359653767743,
  0.0006332065169151,0.0006302648042543,0.0006271401673187,0.0006238325799591,
  0.0006203420615395, 0.000616668677117,0.0006128125376105,0.0006087737999613,
  0.0006045526672816,0.0006001493889946,0.0005955642609629, 0.000590797625608,
  0.0005858498720183,0.0005807214360476,0.0005754128004029,0.0005699244947214,
  0.0005642570956373,0.0005584112268386, 0.000552387559112,0.0005461868103782,
  0.0005398097457166,0.0005332571773782,0.0005265299647892,0.0005196290145428,
  0.0005125552803806,0.0005053097631631,0.0004978935108294,0.0004903076183464,
  0.0004825532276462,0.0004746315275536,0.0004665437537021,0.0004582911884395,
  0.0004498751607217,0.0004412970459969,0.0004325582660773,0.0004236602890014,
  0.0004146046288844, 0.000405392845758,0.0003960265453993,0.0003865073791489,
  0.0003768370437175, 0.000367017280983,0.0003570498777752,0.0003469366656504,
  0.0003366795206555,0.0003262803630809,0.0003157411572025,0.0003050639110134,
  0.0002942506759444, 0.000283303546575,0.0002722246603317,0.0002610161971783,
  0.0002496803792932,0.0002382194707383, 0.000226635777116,0.0002149316452162,
  0.0002031094626539,0.0001911716574948,0.0001791206978722,0.0001669590915931,
  0.0001546893857339,0.0001423141662271,0.0001298360574367,0.0001172577217247,
  0.0001045818590073,9.181120630189e-05,7.894853726345e-05, 6.59966617123e-05,
  5.295842515177e-05,3.983670827666e-05,2.663442647232e-05, 1.33545293045e-05,
  -2.004472536868e-19,-1.34261450817e-05,-2.692085698581e-05,-4.04810547084e-05,
  -5.41036257515e-05,-6.778542668664e-05,-8.152328372718e-05,-9.531399330894e-05,
  -0.0001091543226792,-0.0001230410104942,-0.0001369707674241,-0.0001509402767669,
  -0.0001649461950693,-0.000178985152756,-0.0001930537547665,-0.0002071485811992,
  -0.0002212661879631,-0.0002354031074369,-0.0002495558491348, -0.00026372090038,
  -0.0002778947269843,-0.0002920737739351,-0.000306254466089,-0.0003204332088711,
  -0.0003346063889817,-0.0003487703751085,-0.0003629215186448,-0.0003770561544146,
  -0.0003911706014019,-0.000405261163487,-0.0004193241301875,-0.0004333557774051,
  -0.0004473523681769,-0.0004613101534325,-0.0004752253727553,-0.0004890942551491,
  -0.0005029130198086,-0.0005166778768949,-0.0005303850283148,-0.0005440306685043,
  -0.0005576109852162,-0.0005711221603107,-0.0005845603705509,-0.0005979217884004,
  -0.0006112025828248,-0.0006243989200959,-0.0006375069645995,-0.0006505228796451,
  -0.0006634428282785,-0.0006762629740972,-0.000688979482067,-0.0007015885193417,
  -0.0007140862560842,-0.0007264688662891,-0.0007387325286071,-0.0007508734271706,
  -0.000762887752421,-0.0007747717019355,-0.0007865214812567,-0.0007981333047214,
-0.00080960339629,-0.0008209279903771,-0.0008321033326807,-0.0008431256810128,
  -0.0008539913061288,-0.0008646964925565,-0.0008752375394248,-0.0008856107612916,
  -0.0008958124889702,-0.0009058390703548,-0.0009156868712451,-0.0009253522761683,
  -0.0009348316892007,-0.0009441215347858,-0.0009532182585519,-0.0009621183281264,
  -0.0009708182339479,-0.0009793144900757,-0.0009876036349966,-0.0009956822324283,
-0.00100354687212,-0.001011194170651, -0.00101862077222, -0.00102582334944,
  -0.001032798604122,-0.001039543268057,-0.001046054103792,-0.001052327905407,
-0.00105836149928,-0.001064151744853, -0.00106969553539, -0.00107498979873,
  -0.001080031498037,-0.001084817632542,-0.001089345238282,-0.001093611388826,
  -0.001097613196008,-0.001101347810643,-0.001104812423236,-0.001108004264697,
  -0.001110920607033,-0.001113558764045,-0.001115916092015, -0.00111798999038,
  -0.001119777902409,-0.001121277315866,-0.001122485763664,-0.001123400824516,
  -0.001124020123574,-0.001124341333065,-0.001124362172913,-0.001124080411355,
  -0.001123493865551,-0.001122600402179,-0.001121397938029,-0.001119884440584,
  -0.001118057928588,-0.001115916472613,-0.001113458195611,-0.001110681273458,
  -0.001107583935489, -0.00110416446502,-0.001100421199866,-0.001096352532843,
  -0.001091956912263,-0.001087232842418,-0.001082178884057,-0.001076793654841,
  -0.001071075829804,-0.001065024141792,-0.001058637381889,-0.001051914399844,
  -0.001044854104476,-0.001037455464071,-0.001029717506771,-0.001021639320944,
  -0.001013220055553,-0.001004458920503,-0.0009953551869831,-0.0009859081877942,
  -0.0009761173176648,-0.0009659820335558,-0.0009555018549521,-0.0009446763641427,
  -0.0009335052064887,-0.0009219880906784,-0.0009101247889704,-0.0008979151374243,
  -0.0008853590361187,-0.0008724564493565,-0.0008592074058577,-0.0008456119989396,
  -0.0008316703866838,-0.0008173827920909,-0.0008027495032218,-0.000787770873326,
  -0.0007724473209577,-0.0007567793300781,-0.0007407674501445,-0.000724412296187,
  -0.0007077145488712,-0.0006906749545486,-0.0006732943252927,-0.0006555735389229,
  -0.0006375135390143,-0.0006191153348945,-0.0006003800016273,-0.0005813086799825,
  -0.0005619025763926,-0.0005421629628966,-0.0005220911770692,-0.000501688621938,
  -0.0004809567658863,-0.000459897142543,-0.0004385113506587,-0.0004168010539687,
  -0.0003947679810429,-0.0003724139251213,-0.0003497407439372,-0.0003267503595269,
  -0.000303444758025,-0.0002798259894479,-0.0002558961674632,-0.0002316574691457,
  -0.0002071121347204,-0.000182262467293,-0.0001571108325656,-0.000131659658541,
  -0.0001059114352129,-7.986871424362e-05,-5.353410862812e-05,-2.691029234599e-05,
  2.024749401263e-19,2.719397355808e-05,5.466877361433e-05,8.242148599224e-05,
0.000110449137465,0.0001387486961803,0.0001673170720973, 0.000196151117437,
  0.0002252476271435,0.0002546033393588,0.0002842149359092,0.0003140790428037,
0.000344192230745,0.0003745510156516,0.0004051518591922,0.0004359911693323,
  0.0004670653008913,0.0004983705561119,0.0005299031852413,0.0005616593871224,
  0.0005936353097979,0.0006258270511241,0.0006582306593965,0.0006908421339859,
  0.0007236574259858,0.0007566724388694,0.0007898830291585,0.0008232850071015,
  0.0008568741373629,0.0008906461397215,0.0009245966897802,0.0009587214196842,
  0.0009930159188504, 0.001027475734705, 0.001062096373431, 0.001096873300726,
0.001131801942568,  0.00116687768599, 0.001202095879866, 0.001237451835702,
0.001272940828436, 0.001308558097252, 0.001344298846396, 0.001380158245999,
0.001416131432916, 0.001452213511566, 0.001488399554782, 0.001524684604664,
0.00156106367345, 0.001597531744383, 0.001634083772587,  0.00167071468596,
0.001707419386057, 0.001744192748993, 0.001781029626346, 0.001817924846066,
0.001854873213394, 0.001891869511781, 0.001928908503818, 0.001965984932167,
0.002003093520497, 0.002040228974432, 0.002077385982494, 0.002114559217057,
0.002151743335303, 0.002188932980183, 0.002226122781381, 0.002263307356284,
0.002300481310952, 0.002337639241096, 0.002374775733055, 0.002411885364778,
0.002448962706807,  0.00248600232327, 0.002522998772861, 0.002559946609843,
0.002596840385032, 0.002633674646799, 0.002670443942065, 0.002707142817298,
0.002743765819517, 0.002780307497289, 0.002816762401733, 0.002853125087523,
0.002889390113886, 0.002925552045611, 0.002961605454048, 0.002997544918113,
0.003033365025287,  0.00306906037262, 0.003104625567733, 0.003140055229814,
0.003175343990619,  0.00321048649547, 0.003245477404247, 0.003280311392383,
0.003314983151859, 0.003349487392185, 0.003383818841396, 0.003417972247029,
0.003451942377108, 0.003485724021121, 0.003519311990993,  0.00355270112206,
0.003585886274037, 0.003618862331977, 0.003651624207236, 0.003684166838425,
0.003716485192363, 0.003748574265023,  0.00378042908247, 0.003812044701801,
0.003843416212077, 0.003874538735243, 0.003905407427053, 0.003936017477982,
0.003966364114136, 0.003996442598149, 0.004026248230085,  0.00405577634832,
0.004085022330431, 0.004113981594066, 0.004142649597813, 0.004171021842063,
0.004199093869859, 0.004226861267747, 0.004254319666607,  0.00428146474249,
0.004308292217432, 0.004334797860273, 0.004360977487458, 0.004386826963835,
0.004412342203438, 0.004437519170272, 0.004462353879074, 0.004486842396076,
0.004510980839757, 0.004534765381577, 0.004558192246713, 0.004581257714779,
0.00460395812053, 0.004626289854571, 0.004648249364038, 0.004669833153283,
0.00469103778454,  0.00471185987858, 0.004732296115363, 0.004752343234667,
0.004771998036716, 0.004791257382791, 0.004810118195833, 0.004828577461028,
0.004846632226389,  0.00486427960332, 0.004881516767172, 0.004898340957779,
0.004914749479993, 0.004930739704199,  0.00494630906682, 0.004961455070807,
0.004976175286121, 0.004990467350198, 0.005004328968406, 0.005017757914478,
0.005030752030949, 0.005043309229565, 0.005055427491684, 0.005067104868669,
0.005078339482257, 0.005089129524921, 0.005099473260223, 0.005109369023142,
0.005118815220395, 0.005127810330747, 0.0051363529053, 0.005144441567775,
0.005152075014774, 0.005159252016033, 0.005165971414658, 0.005172232127346,
0.005178033144597, 0.005183373530906, 0.005188252424946, 0.005192669039727,
0.005196622662756,  0.00520011265617, 0.005203138456858, 0.005205699576572,
0.00520779560202, 0.005209426194944, 0.005210591092187, 0.005211290105746,
0.005211523122801, 0.005211290105746, 0.005210591092187, 0.005209426194944,
0.00520779560202, 0.005205699576572, 0.005203138456858,  0.00520011265617,
0.005196622662756, 0.005192669039727, 0.005188252424946, 0.005183373530906,
0.005178033144597, 0.005172232127346, 0.005165971414658, 0.005159252016033,
0.005152075014774, 0.005144441567775, 0.0051363529053, 0.005127810330747,
0.005118815220395, 0.005109369023142, 0.005099473260223, 0.005089129524921,
0.005078339482257, 0.005067104868669, 0.005055427491684, 0.005043309229565,
0.005030752030949, 0.005017757914478, 0.005004328968406, 0.004990467350198,
0.004976175286121, 0.004961455070807,  0.00494630906682, 0.004930739704199,
0.004914749479993, 0.004898340957779, 0.004881516767172,  0.00486427960332,
0.004846632226389, 0.004828577461028, 0.004810118195833, 0.004791257382791,
0.004771998036716, 0.004752343234667, 0.004732296115363,  0.00471185987858,
0.00469103778454, 0.004669833153283, 0.004648249364038, 0.004626289854571,
0.00460395812053, 0.004581257714779, 0.004558192246713, 0.004534765381577,
0.004510980839757, 0.004486842396076, 0.004462353879074, 0.004437519170272,
0.004412342203438, 0.004386826963835, 0.004360977487458, 0.004334797860273,
0.004308292217432,  0.00428146474249, 0.004254319666607, 0.004226861267747,
0.004199093869859, 0.004171021842063, 0.004142649597813, 0.004113981594066,
0.004085022330431,  0.00405577634832, 0.004026248230085, 0.003996442598149,
0.003966364114136, 0.003936017477982, 0.003905407427053, 0.003874538735243,
0.003843416212077, 0.003812044701801,  0.00378042908247, 0.003748574265023,
0.003716485192363, 0.003684166838425, 0.003651624207236, 0.003618862331977,
0.003585886274037,  0.00355270112206, 0.003519311990993, 0.003485724021121,
0.003451942377108, 0.003417972247029, 0.003383818841396, 0.003349487392185,
0.003314983151859, 0.003280311392383, 0.003245477404247,  0.00321048649547,
0.003175343990619, 0.003140055229814, 0.003104625567733,  0.00306906037262,
0.003033365025287, 0.002997544918113, 0.002961605454048, 0.002925552045611,
0.002889390113886, 0.002853125087523, 0.002816762401733, 0.002780307497289,
0.002743765819517, 0.002707142817298, 0.002670443942065, 0.002633674646799,
0.002596840385032, 0.002559946609843, 0.002522998772861,  0.00248600232327,
0.002448962706807, 0.002411885364778, 0.002374775733055, 0.002337639241096,
0.002300481310952, 0.002263307356284, 0.002226122781381, 0.002188932980183,
0.002151743335303, 0.002114559217057, 0.002077385982494, 0.002040228974432,
0.002003093520497, 0.001965984932167, 0.001928908503818, 0.001891869511781,
0.001854873213394, 0.001817924846066, 0.001781029626346, 0.001744192748993,
0.001707419386057,  0.00167071468596, 0.001634083772587, 0.001597531744383,
0.00156106367345, 0.001524684604664, 0.001488399554782, 0.001452213511566,
0.001416131432916, 0.001380158245999, 0.001344298846396, 0.001308558097252,
0.001272940828436, 0.001237451835702, 0.001202095879866,  0.00116687768599,
0.001131801942568, 0.001096873300726, 0.001062096373431, 0.001027475734705,
  0.0009930159188504,0.0009587214196842,0.0009245966897802,0.0008906461397215,
  0.0008568741373629,0.0008232850071015,0.0007898830291585,0.0007566724388694,
  0.0007236574259858,0.0006908421339859,0.0006582306593965,0.0006258270511241,
  0.0005936353097979,0.0005616593871224,0.0005299031852413,0.0004983705561119,
  0.0004670653008913,0.0004359911693323,0.0004051518591922,0.0003745510156516,
0.000344192230745,0.0003140790428037,0.0002842149359092,0.0002546033393588,
  0.0002252476271435, 0.000196151117437,0.0001673170720973,0.0001387486961803,
0.000110449137465,8.242148599224e-05,5.466877361433e-05,2.719397355808e-05,
  2.024749401263e-19,-2.691029234599e-05,-5.353410862812e-05,-7.986871424362e-05,
  -0.0001059114352129,-0.000131659658541,-0.0001571108325656,-0.000182262467293,
  -0.0002071121347204,-0.0002316574691457,-0.0002558961674632,-0.0002798259894479,
  -0.000303444758025,-0.0003267503595269,-0.0003497407439372,-0.0003724139251213,
  -0.0003947679810429,-0.0004168010539687,-0.0004385113506587,-0.000459897142543,
  -0.0004809567658863,-0.000501688621938,-0.0005220911770692,-0.0005421629628966,
  -0.0005619025763926,-0.0005813086799825,-0.0006003800016273,-0.0006191153348945,
  -0.0006375135390143,-0.0006555735389229,-0.0006732943252927,-0.0006906749545486,
  -0.0007077145488712,-0.000724412296187,-0.0007407674501445,-0.0007567793300781,
  -0.0007724473209577,-0.000787770873326,-0.0008027495032218,-0.0008173827920909,
  -0.0008316703866838,-0.0008456119989396,-0.0008592074058577,-0.0008724564493565,
  -0.0008853590361187,-0.0008979151374243,-0.0009101247889704,-0.0009219880906784,
  -0.0009335052064887,-0.0009446763641427,-0.0009555018549521,-0.0009659820335558,
  -0.0009761173176648,-0.0009859081877942,-0.0009953551869831,-0.001004458920503,
  -0.001013220055553,-0.001021639320944,-0.001029717506771,-0.001037455464071,
  -0.001044854104476,-0.001051914399844,-0.001058637381889,-0.001065024141792,
  -0.001071075829804,-0.001076793654841,-0.001082178884057,-0.001087232842418,
  -0.001091956912263,-0.001096352532843,-0.001100421199866, -0.00110416446502,
  -0.001107583935489,-0.001110681273458,-0.001113458195611,-0.001115916472613,
  -0.001118057928588,-0.001119884440584,-0.001121397938029,-0.001122600402179,
  -0.001123493865551,-0.001124080411355,-0.001124362172913,-0.001124341333065,
  -0.001124020123574,-0.001123400824516,-0.001122485763664,-0.001121277315866,
  -0.001119777902409, -0.00111798999038,-0.001115916092015,-0.001113558764045,
  -0.001110920607033,-0.001108004264697,-0.001104812423236,-0.001101347810643,
  -0.001097613196008,-0.001093611388826,-0.001089345238282,-0.001084817632542,
  -0.001080031498037, -0.00107498979873, -0.00106969553539,-0.001064151744853,
-0.00105836149928,-0.001052327905407,-0.001046054103792,-0.001039543268057,
  -0.001032798604122, -0.00102582334944, -0.00101862077222,-0.001011194170651,
-0.00100354687212,-0.0009956822324283,-0.0009876036349966,-0.0009793144900757,
  -0.0009708182339479,-0.0009621183281264,-0.0009532182585519,-0.0009441215347858,
  -0.0009348316892007,-0.0009253522761683,-0.0009156868712451,-0.0009058390703548,
  -0.0008958124889702,-0.0008856107612916,-0.0008752375394248,-0.0008646964925565,
  -0.0008539913061288,-0.0008431256810128,-0.0008321033326807,-0.0008209279903771,
-0.00080960339629,-0.0007981333047214,-0.0007865214812567,-0.0007747717019355,
  -0.000762887752421,-0.0007508734271706,-0.0007387325286071,-0.0007264688662891,
  -0.0007140862560842,-0.0007015885193417,-0.000688979482067,-0.0006762629740972,
  -0.0006634428282785,-0.0006505228796451,-0.0006375069645995,-0.0006243989200959,
  -0.0006112025828248,-0.0005979217884004,-0.0005845603705509,-0.0005711221603107,
  -0.0005576109852162,-0.0005440306685043,-0.0005303850283148,-0.0005166778768949,
  -0.0005029130198086,-0.0004890942551491,-0.0004752253727553,-0.0004613101534325,
  -0.0004473523681769,-0.0004333557774051,-0.0004193241301875,-0.000405261163487,
  -0.0003911706014019,-0.0003770561544146,-0.0003629215186448,-0.0003487703751085,
  -0.0003346063889817,-0.0003204332088711,-0.000306254466089,-0.0002920737739351,
  -0.0002778947269843, -0.00026372090038,-0.0002495558491348,-0.0002354031074369,
  -0.0002212661879631,-0.0002071485811992,-0.0001930537547665,-0.000178985152756,
  -0.0001649461950693,-0.0001509402767669,-0.0001369707674241,-0.0001230410104942,
  -0.0001091543226792,-9.531399330894e-05,-8.152328372718e-05,-6.778542668664e-05,
  -5.41036257515e-05,-4.04810547084e-05,-2.692085698581e-05,-1.34261450817e-05,
  -2.004472536868e-19, 1.33545293045e-05,2.663442647232e-05,3.983670827666e-05,
  5.295842515177e-05, 6.59966617123e-05,7.894853726345e-05,9.181120630189e-05,
  0.0001045818590073,0.0001172577217247,0.0001298360574367,0.0001423141662271,
  0.0001546893857339,0.0001669590915931,0.0001791206978722,0.0001911716574948,
  0.0002031094626539,0.0002149316452162, 0.000226635777116,0.0002382194707383,
  0.0002496803792932,0.0002610161971783,0.0002722246603317, 0.000283303546575,
  0.0002942506759444,0.0003050639110134,0.0003157411572025,0.0003262803630809,
  0.0003366795206555,0.0003469366656504,0.0003570498777752, 0.000367017280983,
  0.0003768370437175,0.0003865073791489,0.0003960265453993, 0.000405392845758,
  0.0004146046288844,0.0004236602890014,0.0004325582660773,0.0004412970459969,
  0.0004498751607217,0.0004582911884395,0.0004665437537021,0.0004746315275536,
  0.0004825532276462,0.0004903076183464,0.0004978935108294,0.0005053097631631,
  0.0005125552803806,0.0005196290145428,0.0005265299647892,0.0005332571773782,
  0.0005398097457166,0.0005461868103782, 0.000552387559112,0.0005584112268386,
  0.0005642570956373,0.0005699244947214,0.0005754128004029,0.0005807214360476,
  0.0005858498720183, 0.000590797625608,0.0005955642609629,0.0006001493889946,
  0.0006045526672816,0.0006087737999613,0.0006128125376105, 0.000616668677117,
  0.0006203420615395,0.0006238325799591,0.0006271401673187,0.0006302648042543,
  0.0006332065169151,0.0006359653767743,0.0006385415004297,0.0006409350493948,
  0.0006431462298805,0.0006451752925664,0.0006470225323635,0.0006486882881669,
  0.0006501729425993,0.0006514769217451,0.0006526006948761,0.0006535447741664,
  0.0006543097144004,0.0006548961126703,0.0006553046080655,0.0006555358813531,
  0.0006555906546498,0.0006554696910854,0.0006551737944575,0.0006547038088785,
  0.0006540606184137,0.0006532451467117,0.0006522583566271,0.0006511012498343,
  0.0006497748664344,0.0006482802845545,0.0006466186199386,0.0006447910255321,
  0.0006427986910578,0.0006406428425861,0.0006383247420969,0.0006358456870351,
  0.0006332070098592,0.0006304100775833,0.0006274562913121,0.0006243470857697,
  0.0006210839288225,0.0006176683209948,0.0006141017949796,0.0006103859151423,
  0.0006065222770194,0.0006025125068112,0.0005983582608689,0.0005940612251763,
  0.0005896231148266,0.0005850456734933,0.0005803306728968,0.0005754799122659,
  0.0005704952177945,0.0005653784420937,0.0005601314636395,0.0005547561862164,
  0.0005492545383566,0.0005436284727751,0.0005378799658011,0.0005320110168059,
  0.0005260236476266,0.0005199199019871,0.0005137018449151,0.0005073715621563,
0.000500931159586,0.0004943827626169,0.0004877285156049,0.0004809705812525,
  0.0004741111400088,0.0004671523894686,0.0004600965437682,0.0004529458329798,
  0.0004457025025042,0.0004383688124614,  0.00043094703708, 0.000423439464085,
  0.0004158483940849,0.0004081761399568,0.0004004250262315,0.0003925973884775,
  0.0003846955726836,0.0003767219346428,0.0003686788393338,0.0003605686603039,
  0.0003523937790509,0.0003441565844059,0.0003358594719152,0.0003275048432242,
  0.0003190951054602, 0.000310632670617,  0.00030211995494,0.0002935593783119,
  0.0002849533636405,0.0002763043362466, 0.000267614723254,0.0002588869529809,
0.000250123454333,0.0002413266561984,0.0002324989868444,0.0002236428733167,
  0.0002147607408401,0.0002058550122228,0.0001969281072619,0.0001879824421524,
  0.0001790204288989,0.0001700444747298,0.0001610569815149,0.0001520603451861,
  0.0001430569551614,0.0001340491937723,0.0001250394356949,0.0001160300473843,
  0.0001070233865135,9.802180141557e-05,8.902763053027e-05, 8.00432018547e-05,
  7.107083239832e-05,6.211282764236e-05, 5.31714810038e-05,4.424907330397e-05,
  3.534787224197e-05,2.647013187293e-05,1.761809209128e-05,8.793978119158e-06,
  1.971005409059e-19,-8.761647902541e-06,-1.748878740024e-05,-2.617925697039e-05,
  -3.483091224031e-05,-4.344162646605e-05,-5.20092910053e-05,-6.053181578436e-05,
  -6.900712975906e-05,-7.743318136957e-05,-8.580793898898e-05,-9.412939136558e-05,
  -0.0001023955480588,-0.0001106044398683,-0.0001187541192574,-0.0001268426607686,
  -0.0001348681614333,-0.0001428287411744,-0.000150722543202,-0.000158547734402,
  -0.000166302505718,-0.0001739850725256,-0.0001815936750001,-0.0001891265784761,
  -0.0001965820738009,-0.0002039584776794,-0.0002112541330121,-0.0002184674092256,
  -0.0002255967025956,-0.0002326404365615,-0.0002395970620345,-0.0002464650576972,
  -0.0002532429302951,-0.0002599292149214,-0.0002665224752926,-0.0002730213040173,
  -0.0002794243228559,-0.0002857301829735,-0.0002919375651835,-0.0002980451801841,
  -0.0003040517687862,-0.0003099561021329,-0.0003157569819116,-0.0003214532405568,
  -0.0003270437414458,-0.0003325273790849,-0.0003379030792885,-0.0003431697993489,
  -0.0003483265281984,-0.0003533722865625,-0.0003583061271055,-0.0003631271345667,
  -0.0003678344258893,-0.0003724271503396,-0.0003769044896194,-0.0003812656579683,
  -0.0003855099022592,-0.0003896365020836,-0.0003936447698304,-0.0003975340507548,
  -0.0004013037230395,-0.0004049531978472,-0.0004084819193651,-0.0004118893648407,
  -0.0004151750446091,-0.0004183385021127,-0.0004213793139113,-0.0004242970896853,
  -0.0004270914722296,-0.0004297621374399, -0.00043230879429,-0.0004347311848018,
  -0.0004370290840064,-0.0004392022998977,-0.0004412506733769,-0.0004431740781904,
  -0.000444972420858,-0.0004466456405943,-0.0004481937092218,-0.0004496166310762,
  -0.0004509144429031,-0.000452087213748,-0.0004531350448378,-0.0004540580694549,
  -0.0004548564528031,-0.0004555303918668,-0.0004560801152619,-0.000456505883079,
  -0.0004568079867205,-0.0004569867487284,-0.0004570425226065,-0.0004569756926341,
  -0.0004567866736735,-0.0004564759109695,-0.0004560438799424,-0.0004554910859737,
  -0.0004548180641855,-0.0004540253792119,-0.0004531136249651,-0.0004520834243935,
  -0.000450935429234,-0.0004496703197573,-0.0004482888045072,-0.0004467916200334,
  -0.0004451795306174,-0.0004434533279933,-0.0004416138310616,-0.0004396618855973,
  -0.000437598363952,-0.0004354241647505,-0.0004331402125809,-0.0004307474576799,
  -0.0004282468756119,-0.0004256394669428,-0.0004229262569086,-0.0004201082950784,
  -0.0004171866550129,-0.0004141624339164,-0.0004110367522858,-0.0004078107535529,
  -0.0004044856037228,-0.000401062491008,-0.0003975426254568,-0.000393927238578,
  -0.0003902175829614,-0.0003864149318936,-0.0003825205789695,-0.0003785358377004,
  -0.0003744620411178,-0.0003703005413733,-0.0003660527093347,-0.000361719934179,
  -0.0003573036229817,-0.000352805200302,-0.0003482261077661,-0.0003435678036459,
  -0.0003388317624362,-0.0003340194744271,-0.0003291324452757,-0.0003241721955732,
  -0.0003191402604107,-0.000314038188942,-0.0003088675439442,-0.0003036299013756,
  -0.0002983268499328,-0.0002929599906039,-0.0002875309362216,-0.0002820413110132,
-0.00027649275015,-0.0002708868992944,-0.0002652254141458,-0.0002595099599857,
  -0.0002537422112208,-0.0002479238509256,-0.0002420565703842,-0.0002361420686305,
  -0.0002301820519885,-0.0002241782336117,-0.000218132333022,-0.0002120460756485,
  -0.0002059211923653,-0.0001997594190305,-0.0001935624960239,-0.0001873321677854,
  -0.0001810701823539,-0.0001747782909062,-0.0001684582472959,-0.000162111807594,
  -0.0001557407296293,-0.0001493467725299,-0.0001429316962656,-0.0001364972611914,
  -0.000130045227592,-0.0001235773552277,-0.0001170954028814,-0.0001106011279078,
  -0.000104096285783,-9.758262965718e-05,-9.10619099077e-05,-8.453587369533e-05,
  -7.800626452171e-05,-7.14748217893e-05,-6.494328036344e-05,-5.841337013681e-05,
  -5.188681559627e-05,-4.536533539233e-05,-3.88506419112e-05,-3.234444084965e-05,
  -2.584843079266e-05,-1.936430279409e-05,-1.289373996034e-05,-6.438417037215e-06,
  -1.924834485381e-19,6.419854353127e-06,1.281949880422e-05, 1.91972961152e-05,
2.55516194238e-05,3.188085263588e-05,3.818339081389e-05,4.445764056146e-05,
  5.070202040397e-05,5.691496116514e-05,6.309490633938e-05,6.924031245995e-05,
  7.534964946282e-05,8.142140104605e-05,8.745406502481e-05,9.344615368175e-05,
  9.939619411275e-05, 0.000105302728568,0.0001111643147883,0.0001169795263363,
  0.0001227469529233,0.0001284652007302,0.0001341328927246,0.0001397486689715,
  0.0001453111869395,0.0001508191218016,0.0001562711667308,0.0001616660331902,
0.000167002451217,0.0001722791697023,0.0001774949566645,0.0001826485995168,
  0.0001877389053297,0.0001927647010876,0.0001977248339389,0.0002026181714418,
  0.0002074436018023,0.0002122000341081,0.0002168863985548,0.0002215016466677,
  0.0002260447515166,0.0002305147079244,  0.00023491053267,0.0002392312646853,
  0.0002434759652449,0.0002476437181509,0.0002517336299103,0.0002557448299066,
  0.0002596764705656,0.0002635277275134,0.0002672977997296,0.0002709859096932,
  0.0002745913035222,0.0002781132511068,0.0002815510462363,0.0002849040067193,
  0.0002881714744974,0.0002913528157527,0.0002944474210085,0.0002974547052232,
  0.0003003741078784,  0.00030320509306,0.0003059471495325,0.0003085997908074,
  0.0003111625552043,0.0003136350059064,0.0003160167310082, 0.000318307343558,
  0.0003205064815926,0.0003226138081665,0.0003246290113739,0.0003265518043647,
  0.0003283819253531,0.0003301191376211,0.0003317632295142,0.0003333140144313,
  0.0003347713308082,0.0003361350420942,0.0003374050367231,0.0003385812280768,
  0.0003396635544435,0.0003406519789688,0.0003415464896014,0.0003423470990314,
  0.0003430538446232, 0.000343666788342,0.0003441860166742,0.0003446116405411,
  0.0003449437952074,0.0003451826401827,0.0003453283591181,0.0003453811596953,
  0.0003453412735116,0.0003452089559573,0.0003449844860881,0.0003446681664919,
  0.0003442603231494,0.0003437613052887,0.0003431714852354,0.0003424912582557,
  0.0003417210423951,0.0003408612783108, 0.000339912429099, 0.000338874980117,
  0.0003377494387997,0.0003365363344708, 0.000335236218149,0.0003338496623491,
  0.0003323772608776,0.0003308196286239, 0.000329177401346,0.0003274512354518,
  0.0003256418077751,0.0003237498153473,0.0003217759751641,0.0003197210239479,
  0.0003175857179053,0.0003153708324808,0.0003130771621048,0.0003107055199393,
  0.0003082567376171,0.0003057316649789,0.0003031311698048,0.0003004561375427,
  0.0002977074710325,0.0002948860902262,0.0002919929319047,0.0002890289493906,
  0.0002859951122578,0.0002828924060367,0.0002797218319174,0.0002764844064479,
  0.0002731811612306,0.0002698131426145,0.0002663814113849,0.0002628870424499,
  0.0002593311245239,0.0002557147598086,0.0002520390636712,0.0002483051643195,
  0.0002445142024749, 0.000240667331043,0.0002367657147815, 0.000232810529966,
  0.0002288029640535,0.0002247442153443,0.0002206354926409,0.0002164780149059,
  0.0002122730109179,0.0002080217189253,0.0002037253862986,0.0001993852691818,
  0.0001950026321411,0.0001905787478136,0.0001861148965536,0.0001816123660788,
  0.0001770724511143,0.0001724964530366,0.0001678856795163,  0.00016324144416,
  0.0001585650661512,0.0001538578698917,0.0001491211846409,0.0001443563441565,
  0.0001395646863328, 0.000134747552841,0.0001299062887675,0.0001250422422534,
  0.0001201567641335,0.0001152512075754,0.0001103269277191, 0.000105385281317,
  0.0001004276263741,9.545532178861e-05,9.046972699371e-05,8.547220159939e-05,
  8.046410503554e-05,7.544679619568e-05,7.042163308183e-05,6.538997245029e-05,
  6.035316945873e-05,5.531257731441e-05,5.026954692379e-05,4.522542654356e-05,
  4.018156143318e-05,3.513929350898e-05,    3.0099961e-05,2.506489810555e-05,
  2.003543465465e-05,1.501289576737e-05,9.998601518247e-06,4.993866601763e-06,
1.86663089172e-19,-4.981695347404e-06,-9.949922870987e-06,-1.490339269675e-05,
  -1.984082196894e-05,-2.476093517028e-05,-2.966246443949e-05,-3.454414988609e-05,
  -3.940473990244e-05,-4.424299147283e-05,-4.905767047964e-05,-5.384755200645e-05,
  -5.861142063807e-05,-6.334807075739e-05,-6.805630683896e-05,-7.27349437393e-05,
  -7.738280698377e-05,-8.199873305007e-05,-8.658156964814e-05,-9.113017599653e-05,
  -9.564342309513e-05,-0.0001001201939942,-0.0001045593840595,-0.000108959901234,
  -0.0001133206662951,-0.0001176406131081,-0.0001219186888765,-0.0001261538543866,
  -0.0001303450842497,-0.0001344913671386,-0.0001385917060215,-0.0001426451183899,
  -0.0001466506364836,-0.0001506073075106,-0.0001545141938628,-0.000158370373327,
  -0.0001621749392918,-0.0001659270009498,-0.0001696256834947,-0.0001732701283148,
  -0.0001768594931808,-0.0001803929524295,-0.0001838696971426,-0.0001872889353204,
  -0.0001906498920514,-0.0001939518096764,-0.0001971939479476,-0.0002003755841838,
  -0.0002034960134192,-0.0002065545485486,-0.0002095505204667,-0.0002124832782025,
  -0.0002153521890491,-0.0002181566386882,-0.000220896031309,-0.0002235697897227,
  -0.0002261773554717,-0.0002287181889334,-0.0002311917694189,-0.0002335975952669,
  -0.0002359351839315,-0.0002382040720662,-0.0002404038156012,-0.0002425339898167,
-0.00024459418941,-0.0002465840285579,-0.0002485031409741,-0.0002503511799604,
  -0.0002521278184537,-0.0002538327490673,-0.0002554656841268,-0.000257026355701,
  -0.0002585145156272,-0.0002599299355322,-0.0002612724068468,-0.0002625417408158,
  -0.0002637377685029,-0.0002648603407899,-0.0002659093283712,-0.0002668846217428,
  -0.000267786131186,-0.0002686137867465,-0.0002693675382081,-0.0002700473550608,
  -0.0002706532264645,-0.0002711851612074,-0.0002716431876592,-0.0002720273537193,
  -0.0002723377267603,-0.0002725743935659,-0.0002727374602646,-0.0002728270522579,
  -0.0002728433141438,-0.0002727864096353,-0.0002726565214747,-0.0002724538513419,
  -0.0002721786197592,-0.0002718310659905,-0.0002714114479362,-0.0002709200420233,
  -0.0002703571430907,-0.0002697230642709,-0.0002690181368653,-0.000268242710217,
  -0.0002673971515779,-0.0002664818459717,-0.0002654971960527, -0.00026444362196,
  -0.0002633215611677,-0.000262131468331,-0.0002608738151273,-0.0002595490900944,
  -0.0002581577984635,-0.0002567004619891,-0.0002551776187741,-0.0002535898230917,
  -0.0002519376452031,-0.0002502216711713,-0.0002484425026714,-0.0002466007567971,
  -0.0002446970658636,-0.000242732077207,-0.0002407064529796,-0.0002386208699431,
  -0.0002364760192568,-0.0002342726062638,-0.0002320113502729,-0.0002296929843382,
  -0.0002273182550349,-0.0002248879222322,-0.0002224027588639,-0.0002198635506944,
  -0.000217271096084,-0.0002146262057494,-0.0002119297025229,-0.000209182421108,
  -0.0002063852078332,-0.0002035389204025,-0.0002006444276441,-0.000197702609256,
  -0.0001947143555503,-0.0001916805671945,-0.0001886021549504,-0.0001854800394118,
  -0.0001823151507398,-0.0001791084283955,-0.0001758608208718,-0.0001725732854231,
  -0.0001692467877928,-0.0001658823019397,-0.0001624808097627,-0.000159043300824,
  -0.0001555707720705,-0.0001520642275546,-0.000148524678153,-0.0001449531412847,
  -0.000141350640628,-0.000137718205836,-0.0001340568722514,-0.0001303676806207,
  -0.0001266516768068,-0.0001229099115019,-0.0001191434399388,-0.0001153533216023,
  -0.0001115406199396,-0.0001077064020707,-0.0001038517384979,-9.997770281605e-05,
  -9.608537142109e-05,-9.217582321994e-05,-8.825013933941e-05,-8.43094028356e-05,
  -8.035469840315e-05,-7.638711208486e-05,-7.240773098146e-05,-6.841764296179e-05,
  -6.441793637334e-05,-6.040969975328e-05,-5.639402154009e-05,-5.237198978583e-05,
  -4.834469186903e-05,-4.43132142085e-05,-4.027864197789e-05,-3.624205882124e-05,
  -3.220454656952e-05,-2.816718495821e-05,-2.413105134612e-05,-2.009722043532e-05,
  -1.606676399243e-05,-1.204075057127e-05,-8.020245236899e-06,-4.006309291196e-06,
  -1.797240657034e-19,3.997629678122e-06,7.985531361394e-06,1.196266151258e-05,
  1.592798170487e-05,1.988045888592e-05,2.381906563984e-05,2.774278044719e-05,
  3.165058794292e-05,3.554147917204e-05,3.941445184314e-05,4.326851057962e-05,
  4.710266716853e-05,5.091594080706e-05,5.470735834646e-05,5.847595453358e-05,
  6.222077224966e-05,6.594086274658e-05, 6.96352858804e-05,7.330311034211e-05,
  7.694341388556e-05,8.055528355257e-05, 8.41378158951e-05,8.769011719442e-05,
  9.121130367728e-05,9.470050172905e-05,9.815684810363e-05,0.0001015794901303,
  0.0001049675859172,0.0001083203045518,0.0001116368262977,0.0001149163427886,
0.000118158057218,0.0001213611845265,0.0001245249515849,0.0001276485973739,
  0.0001307313731603,0.0001337725426699,0.0001367713822559,0.0001397271810648,
  0.0001426392411974,0.0001455068778668,0.0001483294195526,0.0001511062081507,
0.00015383659912,0.0001565199616246,0.0001591556786722,0.0001617431472492,
  0.0001642817784509,0.0001667709976081,0.0001692102444101,0.0001715989730228,
  0.0001739366522034,0.0001762227654111,0.0001784568109126,0.0001806383018851,
0.000182766766514,0.0001848417480865,0.0001868628050816,0.0001888295112555,
  0.0001907414557227,0.0001925982430333,0.0001943994932454, 0.000196144841994,
  0.0001978339405554,0.0001994664559066,0.0002010420707818,0.0002025604837233,
  0.0002040214091291,0.0002054245772956,0.0002067697344562,0.0002080566428158,
  0.0002092850805805,0.0002104548419839,0.0002115657373079,0.0002126175929005,
0.000213610251188,0.0002145435706843,0.0002154174259949,0.0002162317078168,
  0.0002169863229348,0.0002176811942127,0.0002183162605807,0.0002188914770185,
  0.0002194068145346,0.0002198622601403, 0.000220257816821,0.0002205935035019,
  0.0002208693550108,0.0002210854220357,0.0002212417710792, 0.000221338484408,
  0.0002213756599992,0.0002213534114816,0.0002212718680737,0.0002211311745176,
  0.0002209314910084,0.0002206729931204,0.0002203558717289,0.0002199803329283,
  0.0002195465979459, 0.000219054903053,0.0002185054994707,0.0002178986532729,
  0.0002172346452857,0.0002165137709823,0.0002157363403747,0.0002149026779021,
  0.0002140131223151,0.0002130680265566,0.0002120677576392,0.0002110126965192,
0.000209903237967,0.0002087397904342,0.0002075227759172,0.0002062526298179,
  0.0002049298008005,0.0002035547506457,0.0002021279541013,0.0002006498987298,
  0.0001991210847529, 0.000197542024893, 0.000195913244212,0.0001942352799462,
  0.0001925086813395, 0.000190734009473, 0.000188911837092,0.0001870427484302,
  0.0001851273390317,0.0001831662155691, 0.000181159995661,0.0001791093076845,
  0.0001770147905879,0.0001748770936986,  0.00017269687653,0.0001704748085858,
  0.0001682115691622, 0.000165907847147,0.0001635643408181,0.0001611817576383,
  0.0001587608140494,0.0001563022352636,0.0001538067550528,0.0001512751155371,
  0.0001487080669701,0.0001461063675238,0.0001434707830708,0.0001408020869655,
  0.0001381010598236,0.0001353684892998,0.0001326051698649,0.0001298119025803,
  0.0001269894948726,0.0001241387603056,0.0001212605183523, 0.000118355594165,
  0.0001154248183444,0.0001124690267085,0.0001094890600596,0.0001064857639509,
  0.0001034599884523,0.0001004125879152,9.734442073721e-05,9.425634912566e-05,
  9.114923886076e-05,8.802395905838e-05,8.488138193231e-05,8.172238255623e-05,
  7.854783862535e-05,7.535863021782e-05,7.215563955601e-05,6.893975076767e-05,
  6.571184964708e-05,6.247282341619e-05,5.922356048588e-05,5.596495021735e-05,
  5.269788268379e-05,4.942324843223e-05,4.614193824583e-05,4.285484290649e-05,
  3.956285295802e-05,3.626685846973e-05, 3.29677488007e-05,2.966641236468e-05,
  2.636373639565e-05,2.306060671422e-05,1.975790749482e-05,1.645652103382e-05,
  1.315732751857e-05,9.861204797436e-06,6.569028150985e-06,3.281670064212e-06,
  1.717672415741e-19,-3.275115826183e-06,-6.542814670285e-06,-9.80223748232e-06,
  -1.305252912758e-05,-1.629283860642e-05,-1.952231927245e-05,-2.274012904922e-05,
  -2.59454306452e-05,-2.913739176713e-05,-3.231518533159e-05,-3.547798967478e-05,
  -3.862498876047e-05,-4.175537238603e-05,-4.486833638654e-05,-4.796308283683e-05,
  -5.103882025157e-05,-5.40947637832e-05,-5.713013541771e-05,-6.014416416825e-05,
  -6.313608626646e-05,-6.61051453516e-05,-6.905059265723e-05,-7.197168719557e-05,
  -7.486769593946e-05,-7.773789400182e-05,-8.058156481257e-05,-8.33980002931e-05,
  -8.618650102801e-05,-8.894637643434e-05,-9.167694492807e-05,-9.437753408789e-05,
  -9.704748081624e-05,-9.968613149762e-05,-0.0001022928421539,-0.0001048669785972,
  -0.0001074079165789,-0.0001099150419373,-0.0001123877507406,-0.0001148254494281,
  -0.000117227554948,-0.0001195934948919,-0.0001219227076264,-0.0001242146424217,
  -0.0001264687595772,-0.0001286845305431,-0.0001308614380401,-0.0001329989761744,
  -0.0001350966505509,-0.0001371539783821,-0.000139170488594,-0.0001411457219289,
  -0.0001430792310447,-0.0001449705806106,-0.0001468193474001,-0.0001486251203798,
  -0.0001503875007951,-0.0001521061022531,-0.0001537805508007,-0.0001554104850006,
  -0.0001569955560033,-0.0001585354276149,-0.0001600297763631,-0.0001614782915577,
  -0.0001628806753492,-0.0001642366427831,-0.0001655459218507,-0.0001668082535363,
  -0.0001680233918617,-0.0001691911039257,-0.0001703111699411,-0.0001713833832683,
  -0.0001724075504442,-0.0001733834912088,-0.0001743110385273,-0.0001751900386093,
  -0.0001760203509242,-0.0001768018482128,-0.0001775344164958,-0.0001782179550783,
  -0.0001788523765513,-0.000179437606789,-0.0001799735849431,-0.0001804602634337,
  -0.0001808976079356,-0.0001812855973628,-0.0001816242238481,-0.0001819134927198,
  -0.0001821534224751,-0.0001823440447492,-0.0001824854042826,-0.0001825775588829,
  -0.000182620579385,-0.000182614549607,-0.0001825595663025,-0.0001824557391105,
  -0.0001823031905012,-0.0001821020557187,-0.0001818524827204,-0.0001815546321133,
  -0.0001812086770866,-0.0001808148033418,-0.0001803732090192,-0.0001798841046206,
  -0.0001793477129303,-0.0001787642689319,-0.0001781340197219,-0.0001774572244213,
  -0.0001767341540829,-0.0001759650915966,-0.0001751503315912,-0.0001742901803334,
  -0.0001733849556239,-0.0001724349866907,-0.0001714406140792,-0.0001704021895402,
  -0.0001693200759143,-0.0001681946470145,-0.0001670262875051,-0.0001658153927785,
  -0.0001645623688295,-0.0001632676321269,-0.000161931609482,-0.0001605547379157,
  -0.000159137464522,-0.0001576802463299,-0.0001561835501624,-0.0001546478524937,
  -0.0001530736393032,-0.0001514614059283,-0.0001498116569145,-0.000148124905863,
  -0.0001464016752767,-0.0001446424964041,-0.0001428479090806,-0.0001410184615686,
  -0.0001391547103951,-0.0001372572201876,-0.0001353265635082,-0.0001333633206855,
  -0.0001313680796456,-0.0001293414357407,-0.0001272839915759,-0.0001251963568351,
  -0.0001230791481049,-0.0001209329886969,-0.0001187585084689,-0.0001165563436443,
  -0.0001143271366304,-0.0001120715358356,-0.0001097901954845,-0.0001074837754332,
  -0.0001051529409817,-0.000102798362687,-0.0001004207161735,-9.80206819438e-05,
  -9.559894518777e-05,-9.315619559074e-05,-9.069312714114e-05,-8.821043793729e-05,
  -8.570882999329e-05,-8.318900904445e-05,-8.065168435189e-05,-7.809756850675e-05,
  -7.552737723376e-05,-7.294182919435e-05,-7.034164578944e-05,-6.772755096176e-05,
  -6.510027099792e-05,-6.246053433022e-05,-5.980907133828e-05,-5.714661415043e-05,
  -5.447389644516e-05,-5.179165325237e-05,-4.910062075475e-05,-4.640153608916e-05,
  -4.369513714816e-05,-4.098216238168e-05,-3.826335059894e-05,-3.553944077061e-05,
  -3.281117183135e-05,-3.007928248271e-05,-2.734451099637e-05,-2.460759501805e-05,
  -2.186927137174e-05,-1.913027586468e-05,-1.639134309292e-05,-1.365320624748e-05,
  -1.091659692142e-05,-8.18224491754e-06,-5.450878056984e-06,-2.723221988732e-06,
  -1.629082746534e-19,2.718067172353e-06, 5.43026152941e-06,8.135867996679e-06,
  1.083417460946e-05,1.352447269707e-05,1.620605706575e-05,1.887822618044e-05,
  2.154028234514e-05,2.419153188194e-05,2.683128530864e-05,2.945885751498e-05,
  3.207356793728e-05,3.467474073161e-05,3.726170494534e-05,3.983379468714e-05,
  4.239034929523e-05,4.493071350394e-05,4.745423760858e-05,4.996027762846e-05,
  5.244819546812e-05,5.491735907664e-05,5.736714260512e-05,5.979692656216e-05,
  6.220609796735e-05,6.459405050278e-05,6.696018466246e-05,6.930390789967e-05,
  7.162463477217e-05,7.392178708524e-05,7.619479403253e-05,7.844309233467e-05,
  8.066612637565e-05,8.286334833688e-05,8.503421832887e-05,8.717820452067e-05,
  8.929478326682e-05,9.138343923194e-05, 9.34436655128e-05,9.547496375805e-05,
9.74768442853e-05,9.944882619574e-05,0.0001013904374863,0.0001033012151589,
  0.0001051807053276,0.0001070284633228,0.0001088440537926,0.0001106270508021,
  0.0001123770379292,0.0001140936083586,0.0001157763649723,0.0001174249204374,
  0.0001190388972921,0.0001206179280274,0.0001221616551671,0.0001236697313446,
  0.0001251418193769,0.0001265775923359,0.0001279767336164,0.0001293389370016,
  0.0001306639067256,0.0001319513575333,0.0001332010147367,0.0001344126142686,
  0.0001355859027339,0.0001367206374572,0.0001378165865277,0.0001388735288414,
0.00013989125414,0.0001408695630468,0.0001418082671002,0.0001427071887836,
  0.0001435661615523,0.0001443850298582,0.0001451636491706,0.0001459018859946,
  0.0001465996178861,0.0001472567334644,0.0001478731324213,0.0001484487255273,
  0.0001489834346353,0.0001494771926804,0.0001499299436779,0.0001503416427177,
  0.0001507122559553,0.0001510417606011,0.0001513301449054,0.0001515774081419,
  0.0001517835605866,0.0001519486234955,0.0001520726290783,0.0001521556204697,
  0.0001521976516974,0.0001521987876481,0.0001521591040296,0.0001520786873308,
  0.0001519576347788,0.0001517960542928,0.0001515940644359,0.0001513517943637,
  0.0001510693837699,0.0001507469828301,0.0001503847521419,0.0001499828626629,
0.000149541495646, 0.000149060842572,0.0001485411050792,0.0001479824948916,
  0.0001473852337429,0.0001467495532991,0.0001460756950786,0.0001453639103691,
  0.0001446144601425,0.0001438276149677,0.0001430036549201,0.0001421428694896,
  0.0001412455574858,0.0001403120269409,0.0001393425950105,0.0001383375878722,
  0.0001372973406214,0.0001362221971657,0.0001351125101166,0.0001339686406793,
  0.0001327909585405,0.0001315798417536,0.0001303356766226,0.0001290588575836,
  0.0001277497870844,0.0001264088754621,0.0001250365408191,0.0001236332088969,
  0.0001221993129485,0.0001207352936083,0.0001192415987614,0.0001177186834099,
  0.0001161670095389,0.0001145870459793,0.0001129792682709,0.0001113441585219,
  0.0001096822052689,0.0001079939033338,0.0001062797536805,0.0001045402632691,
0.00010277594491,0.0001009873171157,9.917490395158e-05,9.733923488596e-05,
  9.548084463837e-05,9.360027302701e-05, 9.16980648151e-05, 8.97747695561e-05,
  8.783094143801e-05,8.586713912667e-05,8.388392560819e-05,8.188186803048e-05,
  7.986153754394e-05,7.782350914144e-05,7.576836149749e-05,7.369667680673e-05,
  7.160904062186e-05, 6.95060416908e-05,6.738827179348e-05,6.525632557798e-05,
  6.311080039623e-05,6.095229613938e-05,5.878141507262e-05,5.659876166981e-05,
  5.440494244778e-05,5.220056580034e-05,4.998624183214e-05,4.776258219237e-05,
  4.553019990831e-05,4.328970921887e-05,4.104172540806e-05,3.878686463849e-05,
  3.652574378498e-05,3.425898026825e-05,3.198719188873e-05,2.971099666061e-05,
2.74310126462e-05, 2.51478577904e-05,2.286214975569e-05,2.057450575738e-05,
1.82855423993e-05, 1.599587551e-05,1.370611997936e-05,1.141688959587e-05,
9.12879688438e-06,6.842452944542e-06,4.558467289937e-06,2.277447687878e-06,
  1.532759360715e-19,-2.273271976368e-06,-4.54176666599e-06,-6.804884872621e-06,
  -9.062029934994e-06,-1.131260788185e-05,-1.355602758595e-05,-1.579170091707e-05,
  -1.801904289393e-05,-2.023747183493e-05,-2.244640950785e-05,-2.464528127825e-05,
  -2.68335162567e-05,-2.901054744473e-05,-3.117581187946e-05,-3.332875077691e-05,
  -3.546880967392e-05,-3.759543856867e-05,-3.970809205975e-05,-4.180622948373e-05,
  -4.388931505123e-05,-4.595681798148e-05,-4.800821263518e-05,-5.004297864591e-05,
  -5.206060104976e-05,-5.406057041331e-05,-5.604238295997e-05,-5.800554069449e-05,
  -5.994955152574e-05,-6.187392938769e-05,-6.377819435856e-05,-6.566187277809e-05,
  -6.752449736298e-05,-6.936560732032e-05,-7.118474845919e-05,-7.298147330022e-05,
  -7.475534118316e-05,-7.650591837246e-05,-7.823277816084e-05,-7.993550097068e-05,
  -8.161367445343e-05,-8.326689358686e-05,-8.489476077021e-05,-8.649688591708e-05,
  -8.807288654633e-05,-8.962238787057e-05,-9.114502288259e-05,-9.264043243948e-05,
  -9.41082653445e-05,-9.554817842674e-05,-9.695983661835e-05,-9.834291302963e-05,
  -9.969708902168e-05,-0.0001010220542768,-0.0001023175068663,-0.0001035831533165,
  -0.0001048187086716,-0.0001060238965547,-0.0001071984492263,-0.0001083421076403,
  -0.0001094546214975,-0.000110535749297,-0.0001115852583847,-0.0001126029249998,
  -0.0001135885343182,-0.0001145418804945,-0.0001154627667001,-0.0001163510051604,
  -0.0001172064171878,-0.0001180288332139,-0.000118818092818,-0.0001195740447535,
  -0.0001202965469718,-0.000120985466644,-0.0001216406801794,-0.0001222620732421,
  -0.0001228495407648,-0.0001234029869603,-0.0001239223253302,-0.0001244074786714,
  -0.0001248583790799,-0.0001252749679522,-0.0001256571959842,-0.0001260050231675,
  -0.0001263184187836,-0.0001265973613949,-0.0001268418388341,-0.0001270518481905,
  -0.0001272273957938,-0.0001273684971965,-0.0001274751771522,-0.0001275474695928,
  -0.0001275854176028,-0.0001275890733913,-0.0001275584982614,-0.0001274937625772,
  -0.0001273949457291,-0.0001272621360958,-0.0001270954310046,-0.0001268949366891,
  -0.0001266607682449,-0.0001263930495822,-0.0001260919133776,-0.0001257575010218,
  -0.0001253899625669,-0.0001249894566697,-0.0001245561505345,-0.0001240902198523,
  -0.0001235918487387,-0.0001230612296695,-0.0001224985634137,-0.0001219040589652,
  -0.0001212779334715,-0.0001206204121615,-0.0001199317282697,-0.0001192121229603,
  -0.0001184618452475,-0.0001176811519151,-0.0001168703074335,-0.000116029583875,
  -0.0001151592608274,-0.0001142596253054,-0.0001133309716603,-0.0001123736014881,
  -0.0001113878235355,-0.0001103739536044,-0.0001093323144545,-0.0001082632357045,
  -0.0001071670537309,-0.0001060441115666,-0.0001048947587962,-0.000103719351451,
  -0.0001025182519017,-0.0001012918287502,-0.0001000404567196,-9.876451654241e-05,
  -9.746439484821e-05,-9.614048404914e-05,-9.479318222448e-05,-9.342289300376e-05,
  -9.20300254486e-05,-9.061499393338e-05,-8.917821802465e-05,-8.772012235932e-05,
  -8.624113652181e-05,-8.474169492003e-05,-8.322223666028e-05,-8.168320542119e-05,
  -8.012504932657e-05,-7.854822081735e-05,-7.695317652258e-05,-7.534037712955e-05,
  -7.371028725303e-05,-7.206337530372e-05,-7.040011335591e-05,-6.872097701437e-05,
  -6.702644528059e-05,-6.531700041828e-05,-6.359312781828e-05,-6.185531586289e-05,
  -6.010405578959e-05,-5.833984155427e-05,-5.656316969397e-05,-5.477453918919e-05,
  -5.297445132578e-05,-5.116340955642e-05,-4.934191936186e-05,-4.751048811177e-05,
  -4.566962492538e-05,-4.381984053192e-05,-4.196164713081e-05,-4.009555825176e-05,
  -3.82220886148e-05,-3.634175399012e-05,-3.445507105798e-05,-3.256255726864e-05,
  -3.066473070223e-05,-2.87621099288e-05,-2.685521386844e-05,-2.494456165161e-05,
  -2.303067247956e-05,-2.111406548508e-05,-1.919525959349e-05,-1.727477338392e-05,
  -1.535312495092e-05,-1.343083176647e-05,-1.150841054243e-05,-9.586377093342e-06,
  -7.665246199854e-06,-5.745531472547e-06,-3.827745216385e-06,-1.912398295731e-06,
  -1.430102384438e-19,1.908942090025e-06, 3.81392223519e-06,5.714436670225e-06,
  7.609983735237e-06, 9.50006400641e-06,1.138418042586e-05,1.326183843063e-05,
  1.513254608081e-05,1.699581418666e-05,1.885115643483e-05, 2.06980895136e-05,
  2.253613323699e-05,2.436481066791e-05,2.618364824021e-05,2.799217587953e-05,
2.97899271231e-05,3.157643923827e-05,3.335125333991e-05,3.511391450649e-05,
  3.686397189496e-05,3.860097885426e-05,4.032449303758e-05,4.203407651322e-05,
  4.372929587406e-05,4.540972234566e-05,4.707493189289e-05, 4.87245053251e-05,
  5.035802839987e-05,5.197509192513e-05,5.357529185984e-05,5.515822941308e-05,
  5.672351114155e-05,5.827074904546e-05, 5.97995606628e-05,6.130956916195e-05,
  6.280040343262e-05,6.427169817509e-05,6.572309398773e-05,6.715423745279e-05,
  6.856478122044e-05,  6.9954384091e-05,7.132271109541e-05,7.266943357388e-05,
  7.399422925267e-05, 7.52967823191e-05,7.657678349458e-05, 7.78339301059e-05,
  7.906792615447e-05,8.027848238377e-05,8.146531634479e-05,8.262815245961e-05,
  8.376672208291e-05,8.488076356162e-05,8.597002229253e-05,8.703425077793e-05,
  8.807320867921e-05,8.908666286852e-05,9.007438747831e-05,9.103616394889e-05,
  9.197178107397e-05,9.288103504406e-05, 9.37637294879e-05,9.461967551176e-05,
  9.544869173671e-05,9.625060433376e-05,9.702524705696e-05,9.777246127437e-05,
  9.849209599697e-05,9.918400790541e-05,9.984806137473e-05,0.0001004841284969,
  0.0001010920891014,0.0001016718307732,0.0001022232488697,0.0001027462465341,
  0.0001032407347079,0.0001037066321405,0.0001041438653974,0.0001045523688653,
  0.0001049320847562,0.0001052829631087, 0.000105604961787,0.0001058980464789,
  0.0001061621906902,0.0001063973757384,0.0001066035907432,0.0001067808326159,
  0.0001069291060457,0.0001070484234852,0.0001071388051325, 0.000107200278912,
  0.0001072328804535,0.0001072366530684,0.0001072116477241,0.0001071579230175,
  0.0001070755451443,0.0001069645878689,0.0001068251324901,0.0001066572678062,
  0.0001064610900776,0.0001062367029879, 0.000105984217602,0.0001057037523241,
  0.0001053954328519,0.0001050593921301,0.0001046957703021,0.0001043047146587,
  0.0001038863795867,0.0001034409265137,0.0001029685238532,0.0001024693469463,
0.000101943578002,0.0001013914060368,0.0001008130268109,0.0001002086427644,
  9.957846295004e-05,9.892270296624e-05,9.824158488683e-05,9.753533719011e-05,
  9.680419468602e-05,9.604839844175e-05,9.526819570588e-05,9.446383983087e-05,
  9.363559019421e-05,9.278371211796e-05,9.190847678688e-05, 9.10101611652e-05,
  9.008904791188e-05,8.914542529455e-05,8.817958710212e-05,8.719183255601e-05,
  8.618246622011e-05,8.515179790948e-05,8.410014259777e-05,8.302782032346e-05,
  8.193515609485e-05,8.082247979398e-05,7.969012607931e-05,7.853843428735e-05,
  7.736774833321e-05,7.617841661009e-05,7.497079188772e-05,7.374523120986e-05,
7.25020957908e-05,7.124175091093e-05,6.996456581142e-05,6.867091358799e-05,
6.73611710839e-05,6.603571878203e-05,6.469494069629e-05,6.333922426218e-05,
  6.196896022667e-05,6.058454253739e-05,5.918636823115e-05,5.777483732181e-05,
  5.635035268761e-05,5.491331995788e-05,5.346414739919e-05,5.200324580111e-05,
  5.053102836135e-05,4.904791057056e-05,4.755431009672e-05,4.605064666905e-05,
  4.453734196172e-05,4.301481947713e-05,4.148350442895e-05,3.994382362495e-05,
  3.839620534952e-05,3.684107924608e-05,3.527887619931e-05,3.371002821726e-05,
  3.213496831336e-05,3.055413038838e-05,2.896794911236e-05,2.737685980654e-05,
  2.578129832536e-05,2.418170093844e-05,2.257850421279e-05,2.097214489503e-05,
  1.936305979384e-05,1.775168566257e-05,1.613845908212e-05,1.452381634402e-05,
  1.290819333384e-05,1.129202541489e-05,9.675747312259e-06,8.059792997307e-06,
  6.444595572457e-06,4.830587156511e-06, 3.21819877039e-06,1.607860223398e-06,
  4.810684555582e-19,-1.604954852835e-06,-3.20657883771e-06,-4.804448118245e-06,
  -6.398140629894e-06,-7.987236190078e-06,-9.571316607619e-06,-1.114996579144e-05,
  -1.27227698585e-05,-1.428931724098e-05,-1.58491987926e-05,-1.740200789411e-05,
  -1.894734055798e-05,-2.048479553207e-05,-2.201397440254e-05,-2.353448169562e-05,
  -2.504592497861e-05,-2.654791495971e-05,-2.804006558698e-05,-2.952199414609e-05,
  -3.099332135715e-05,-3.245367147038e-05,-3.390267236059e-05,-3.533995562068e-05,
  -3.676515665381e-05,-3.81779147645e-05,-3.957787324843e-05,-4.096467948109e-05,
  -4.23379850051e-05,-4.369744561631e-05,-4.504272144858e-05,-4.637347705722e-05,
  -4.768938150118e-05,-4.899010842373e-05,-5.027533613195e-05,-5.154474767465e-05,
-5.2798030919e-05,-5.40348786257e-05,-5.525498852263e-05,-5.645806337715e-05,
  -5.76438110668e-05,-5.881194464861e-05,-5.996218242681e-05,-6.109424801903e-05,
  -6.220787042102e-05,-6.330278406968e-05,-6.437872890463e-05,-6.543545042816e-05,
  -6.647269976355e-05,-6.749023371178e-05,-6.848781480667e-05,-6.94652113683e-05,
  -7.042219755481e-05,-7.135855341261e-05,-7.227406492478e-05,-7.316852405789e-05,
  -7.404172880712e-05,-7.489348323964e-05,-7.57235975363e-05,-7.653188803162e-05,
  -7.731817725201e-05,-7.808229395234e-05,-7.882407315065e-05,-7.954335616122e-05,
  -8.023999062587e-05,-8.091383054343e-05,-8.156473629757e-05,-8.219257468273e-05,
  -8.279721892842e-05,-8.337854872161e-05,-8.393645022746e-05,-8.447081610821e-05,
  -8.49815455403e-05,-8.54685442297e-05,-8.593172442549e-05,-8.637100493164e-05,
  -8.678631111701e-05,-8.717757492351e-05,-8.754473487262e-05,-8.788773606997e-05,
  -8.820653020825e-05,-8.850107556831e-05,-8.877133701846e-05,-8.901728601206e-05,
  -8.92389005833e-05,-8.943616534124e-05,-8.960907146207e-05,-8.975761667964e-05,
  -8.988180527424e-05,-8.998164805967e-05,-9.00571623685e-05,-9.010837203566e-05,
  -9.013530738035e-05,-9.013800518614e-05,-9.011650867945e-05,-9.00708675063e-05,
  -9.000113770739e-05,-8.990738169151e-05,-8.978966820726e-05,-8.964807231315e-05,
  -8.948267534602e-05,-8.929356488789e-05,-8.908083473112e-05,-8.884458484203e-05,
  -8.858492132284e-05,-8.830195637212e-05,-8.799580824365e-05,-8.766660120367e-05,
  -8.731446548664e-05,-8.69395372495e-05,-8.654195852433e-05,-8.612187716965e-05,
  -8.567944682007e-05,-8.521482683466e-05,-8.472818224372e-05,-8.421968369425e-05,
  -8.368950739387e-05,-8.313783505349e-05,-8.256485382851e-05,-8.197075625869e-05,
  -8.135574020664e-05,-8.072000879512e-05,-8.006377034286e-05,-7.938723829922e-05,
  -7.869063117756e-05,-7.797417248735e-05,-7.723809066509e-05, -7.6482619004e-05,
  -7.570799558253e-05,-7.491446319175e-05,-7.410226926157e-05,-7.327166578584e-05,
  -7.242290924641e-05,-7.155626053603e-05,-7.067198488031e-05,-6.977035175856e-05,
  -6.88516348237e-05,-6.791611182114e-05,-6.696406450675e-05,-6.599577856386e-05,
  -6.501154351938e-05,-6.401165265903e-05,-6.299640294172e-05,-6.196609491306e-05,
  -6.092103261815e-05,-5.986152351344e-05,-5.878787837799e-05,-5.770041122391e-05,
  -5.659943920608e-05,-5.548528253125e-05,-5.435826436641e-05,-5.32187107466e-05,
  -5.206695048208e-05,-5.09033150649e-05,-4.972813857499e-05,-4.854175758559e-05,
  -4.734451106837e-05,-4.613674029789e-05,-4.491878875573e-05,-4.369100203417e-05,
  -4.245372773945e-05,-4.120731539469e-05,-3.995211634249e-05,-3.868848364715e-05,
  -3.741677199665e-05,-3.613733760441e-05,-3.485053811071e-05, -3.3556732484e-05,
  -3.225628092201e-05,-3.094954475264e-05,-2.963688633485e-05,-2.831866895934e-05,
  -2.69952567492e-05,-2.566701456052e-05,-2.433430788301e-05,-2.299750274056e-05,
  -2.165696559189e-05,-2.031306323124e-05,-1.896616268918e-05,-1.761663113347e-05,
  -1.626483577016e-05,-1.491114374475e-05,-1.355592204364e-05,-1.219953739572e-05,
  -1.08423561743e-05,-9.484744299196e-06,-8.127067139245e-06,-6.769689415027e-06,
  -5.412975102016e-06,-4.057287334072e-06,-2.702988307345e-06,-1.350439184601e-06,
  -1.211826790429e-19,1.347970435645e-06,2.693114629119e-06,4.035076498519e-06,
  5.373501466428e-06,6.708036552508e-06,8.038330465503e-06,9.364033694611e-06,
  1.068479860023e-05,  1.2000279504e-05,1.331013277822e-05,1.461401693444e-05,
  1.591159271148e-05,1.720252316251e-05,1.848647374148e-05,1.976311238869e-05,
  2.103210961555e-05,2.229313858853e-05,2.354587521212e-05,2.478999821108e-05,
  2.602518921166e-05,2.725113282189e-05,2.846751671101e-05,2.967403168785e-05,
  3.087037177825e-05,3.205623430149e-05,3.323131994566e-05,3.439533284203e-05,
  3.554798063831e-05, 3.66889745709e-05,3.781802953593e-05,3.893486415933e-05,
  4.003920086566e-05, 4.11307659458e-05,4.220928962358e-05,4.327450612108e-05,
  4.432615372284e-05,4.536397483886e-05, 4.63877160663e-05,4.739712824999e-05,
  4.839196654175e-05,4.937199045829e-05,5.033696393797e-05,5.128665539621e-05,
  5.222083777957e-05, 5.31392886186e-05,5.404179007924e-05,5.492812901297e-05,
  5.579809700559e-05,5.665149042459e-05,5.748811046525e-05,5.830776319518e-05,
  5.911025959771e-05,5.989541561364e-05,6.066305218174e-05,6.141299527776e-05,
  6.214507595203e-05,6.285913036563e-05,6.355499982512e-05,6.423253081581e-05,
  6.489157503356e-05, 6.55319894152e-05,6.615363616737e-05,6.675638279397e-05,
  6.734010212211e-05,6.790467232656e-05,6.844997695276e-05,6.897590493831e-05,
  6.948235063297e-05,6.996921381719e-05, 7.04363997191e-05,7.088381903006e-05,
  7.131138791869e-05,7.171902804333e-05,7.210666656314e-05, 7.24742361476e-05,
  7.282167498448e-05,7.314892678642e-05,7.345594079595e-05,7.374267178896e-05,
  7.400908007678e-05, 7.42551315067e-05,7.448079746101e-05,7.468605485456e-05,
7.48708861308e-05,7.503527925642e-05,7.517922771443e-05, 7.53027304958e-05,
  7.540579208963e-05,7.548842247189e-05,7.555063709262e-05,7.559245686179e-05,
  7.561390813362e-05, 7.56150226895e-05,7.559583771953e-05,7.555639580251e-05,
  7.549674488468e-05,7.541693825691e-05,7.531703453058e-05,7.519709761202e-05,
  7.505719667564e-05,7.489740613558e-05,7.471780561614e-05,7.451847992072e-05,
  7.429951899955e-05,7.406101791597e-05,7.380307681154e-05,7.352580086969e-05,
  7.322930027819e-05,7.291369019031e-05,7.257909068469e-05,  7.2225626724e-05,
  7.185342811232e-05,7.146262945132e-05,7.105337009522e-05,7.062579410457e-05,
  7.018005019877e-05,6.971629170759e-05,6.923467652133e-05, 6.873536704e-05,
  6.821853012129e-05,6.768433702752e-05,6.713296337139e-05,6.656458906074e-05,
  6.597939824226e-05, 6.53775792441e-05, 6.47593245175e-05,6.412483057742e-05,
  6.347429794216e-05,6.280793107204e-05,6.212593830713e-05,  6.1428531804e-05,
  6.071592747163e-05, 5.99883449064e-05,5.924600732615e-05, 5.84891415035e-05,
  5.771797769821e-05,5.693274958884e-05,5.613369420352e-05,5.532105185003e-05,
  5.449506604501e-05,5.365598344259e-05,5.280405376216e-05,5.193952971554e-05,
  5.106266693345e-05,5.017372389131e-05,4.927296183445e-05,4.836064470267e-05,
  4.743703905423e-05, 4.65024139893e-05,4.555704107284e-05,4.460119425692e-05,
  4.363514980264e-05,4.265918620148e-05,4.167358409622e-05,4.067862620146e-05,
  3.967459722368e-05,3.866178378096e-05,3.764047432224e-05, 3.66109590464e-05,
  3.557352982082e-05,3.452848009981e-05,3.347610484267e-05,3.241670043148e-05,
  3.135056458877e-05,3.027799629484e-05,  2.9199295705e-05,2.811476406658e-05,
  2.702470363585e-05,2.592941759479e-05,2.482920996773e-05,2.372438553805e-05,
  2.261524976463e-05,2.150210869846e-05,2.038526889912e-05,1.926503735135e-05,
1.81417213816e-05,1.701562857468e-05,1.588706669052e-05,1.475634358096e-05,
  1.362376710673e-05,1.248964505456e-05,1.135428505449e-05,1.021799449731e-05,
9.08108045228e-06,7.943849585073e-06,6.806608075965e-06,5.669661538314e-06,
  4.533314937344e-06,3.397872509255e-06,2.263637680673e-06,1.130912988476e-06,
  -1.35393912724e-19,-1.128800766341e-06,-2.255189920011e-06,-3.378869276848e-06,
  -4.499541937102e-06,-5.616912362973e-06,-6.730686455644e-06,-7.840571631778e-06,
  -8.946276899472e-06,-1.004751293364e-05,-1.114399215078e-05,-1.223542878322e-05,
  -1.332153895259e-05,-1.440204074282e-05,-1.547665427231e-05,-1.654510176555e-05,
  -1.760710762398e-05,-1.86623984961e-05,-1.971070334692e-05,-2.075175352661e-05,
  -2.178528283838e-05,-2.281102760558e-05,-2.382872673802e-05,-2.483812179742e-05,
  -2.583895706207e-05,-2.683097959061e-05,-2.781393928497e-05,-2.878758895236e-05,
  -2.975168436648e-05,-3.07059843277e-05,-3.165025072237e-05,-3.258424858119e-05,
  -3.350774613658e-05,-3.442051487917e-05,-3.532232961317e-05,-3.621296851092e-05,
  -3.709221316624e-05,-3.795984864692e-05,-3.881566354606e-05,-3.965945003248e-05,
  -4.049100389991e-05,-4.131012461531e-05,-4.211661536592e-05,-4.291028310536e-05,
  -4.369093859858e-05,-4.445839646564e-05,-4.521247522448e-05,-4.595299733248e-05,
  -4.667978922692e-05,-4.739268136425e-05,-4.809150825826e-05,-4.877610851702e-05,
  -4.944632487874e-05,-5.010200424631e-05,-5.074299772082e-05,-5.136916063376e-05,
  -5.198035257805e-05,-5.25764374379e-05,-5.315728341742e-05,-5.372276306802e-05,
  -5.427275331462e-05,-5.480713548057e-05,-5.532579531136e-05,-5.582862299716e-05,
  -5.631551319401e-05,-5.678636504386e-05,-5.72410821933e-05,-5.767957281107e-05,
  -5.810174960431e-05,-5.850752983357e-05,-5.889683532656e-05,-5.926959249062e-05,
  -5.962573232393e-05,-5.996519042553e-05, -6.0287907004e-05,-6.059382688491e-05,
  -6.088289951704e-05,-6.115507897727e-05,-6.14103239743e-05,-6.164859785104e-05,
  -6.186986858583e-05,-6.207410879228e-05,-6.226129571802e-05,-6.243141124204e-05,
  -6.258444187094e-05,-6.272037873381e-05,-6.283921757596e-05,-6.294095875138e-05,
  -6.302560721397e-05,-6.309317250756e-05,-6.31436687547e-05,-6.317711464425e-05,
  -6.319353341775e-05,-6.319295285457e-05,-6.317540525593e-05,-6.314092742766e-05,
  -6.308956066178e-05,-6.302135071699e-05,-6.293634779786e-05,-6.283460653299e-05,
  -6.271618595193e-05,-6.258114946098e-05,-6.24295648179e-05,-6.226150410541e-05,
  -6.207704370362e-05,-6.187626426141e-05,-6.165925066658e-05,-6.142609201503e-05,
  -6.117688157881e-05,-6.091171677312e-05,-6.063069912224e-05,-6.033393422442e-05,
  -6.002153171577e-05,-5.969360523307e-05,-5.935027237562e-05,-5.899165466606e-05,
  -5.861787751024e-05,-5.82290701561e-05,-5.782536565157e-05,-5.740690080157e-05,
  -5.697381612402e-05,-5.652625580499e-05,-5.606436765294e-05,-5.558830305198e-05,
  -5.509821691441e-05,-5.459426763224e-05,-5.407661702795e-05,-5.354543030444e-05,
  -5.300087599407e-05,-5.244312590699e-05,-5.187235507861e-05,-5.128874171639e-05,
  -5.069246714574e-05,-5.008371575533e-05,-4.946267494159e-05,-4.882953505249e-05,
  -4.818448933068e-05,-4.752773385597e-05,-4.685946748705e-05,-4.617989180271e-05,
  -4.548921104233e-05,-4.478763204581e-05,-4.407536419292e-05,-4.335261934204e-05,
  -4.26196117684e-05,-4.187655810171e-05,-4.11236772634e-05,-4.036119040319e-05,
  -3.958932083534e-05,-3.880829397431e-05,-3.801833727009e-05, -3.7219680143e-05,
  -3.641255391812e-05,-3.559719175938e-05,-3.477382860321e-05,-3.394270109185e-05,
  -3.310404750636e-05,-3.22581076993e-05,-3.140512302707e-05,-3.054533628206e-05,
  -2.967899162444e-05,-2.880633451381e-05,-2.792761164054e-05,-2.704307085699e-05,
  -2.615296110846e-05,-2.525753236406e-05,-2.435703554736e-05, -2.3451722467e-05,
  -2.254184574709e-05,-2.162765875763e-05,-2.070941554476e-05,-1.978737076103e-05,
  -1.886177959561e-05,-1.793289770451e-05,-1.700098114074e-05,-1.606628628463e-05,
  -1.512906977403e-05,-1.418958843468e-05,-1.324809921067e-05,-1.23048590949e-05,
  -1.136012505979e-05,-1.041415398801e-05,-9.467202603449e-06,-8.519527402307e-06,
  -7.571384584417e-06,-6.62302998475e-06,-5.674719005161e-06,-4.72670654638e-06,
  -3.779246940268e-06,-2.832593882355e-06,-1.88700036468e-06,-9.427186089423e-07,
  -9.869009848341e-20,9.409049802892e-07,1.879746818856e-06,2.816277036812e-06,
  3.750248254455e-06,4.681414255834e-06,5.609530052891e-06,6.534351949143e-06,
  7.455637602901e-06,8.373146089988e-06,9.286637965969e-06,1.019587532786e-05,
1.11006218753e-05,1.200064297116e-05,1.289570570163e-05,1.378557893568e-05,
  1.467003338393e-05,1.554884165697e-05,1.642177832295e-05,1.728861996464e-05,
  1.814914523578e-05,1.900313491674e-05,1.985037196958e-05,2.069064159232e-05,
  2.152373127259e-05,2.234943084051e-05, 2.31675325208e-05,2.397783098427e-05,
  2.478012339842e-05,2.557420947731e-05,2.635989153069e-05, 2.71369745123e-05,
  2.790526606734e-05,2.866457657916e-05,2.941471921513e-05,3.015550997163e-05,
  3.088676771821e-05, 3.16083142409e-05,3.231997428464e-05,3.302157559482e-05,
  3.371294895794e-05,3.439392824141e-05,3.506435043233e-05,3.572405567549e-05,
  3.637288731036e-05,3.701069190716e-05,3.763731930202e-05,3.825262263113e-05,
3.8856458364e-05,3.944868633572e-05,4.002916977826e-05,4.059777535077e-05,
  4.115437316895e-05,4.169883683335e-05,4.223104345677e-05,4.275087369057e-05,
  4.325821175005e-05,4.375294543873e-05,4.423496617174e-05,4.470416899804e-05,
  4.516045262177e-05,4.560371942242e-05,4.603387547411e-05,4.645083056372e-05,
  4.685449820806e-05,4.724479566997e-05,4.762164397338e-05, 4.79849679173e-05,
  4.833469608883e-05,4.867076087505e-05, 4.89930984739e-05,4.930164890403e-05,
4.95963560135e-05, 4.98771674876e-05,5.014403485544e-05,5.039691349559e-05,
  5.063576264068e-05,5.086054538088e-05,5.107122866639e-05,5.126778330885e-05,
  5.145018398175e-05,5.161840921972e-05,5.177244141688e-05,5.191226682404e-05,
  5.203787554494e-05,5.214926153145e-05, 5.22464225777e-05,5.232936031324e-05,
  5.239808019513e-05,5.245259149901e-05,5.249290730921e-05,5.251904450781e-05,
  5.253102376267e-05,5.252886951455e-05, 5.25126099631e-05,5.248227705202e-05,
  5.243790645312e-05,5.237953754942e-05,5.230721341736e-05,5.222098080794e-05,
  5.212089012699e-05,5.200699541441e-05,5.187935432258e-05,5.173802809372e-05,
  5.158308153638e-05,5.141458300104e-05,5.123260435472e-05, 5.10372209548e-05,
  5.082851162182e-05,5.060655861152e-05,5.037144758592e-05,5.012326758358e-05,
  4.986211098897e-05,4.958807350106e-05,4.930125410101e-05,4.900175501905e-05,
  4.868968170058e-05,4.836514277143e-05,4.802825000237e-05,4.767911827279e-05,
  4.731786553363e-05,4.694461276958e-05,4.655948396051e-05,4.616260604215e-05,
  4.575410886608e-05,4.533412515901e-05, 4.49027904813e-05,4.446024318492e-05,
  4.400662437061e-05,4.354207784443e-05,4.306675007373e-05,4.258079014235e-05,
  4.208434970532e-05,4.157758294289e-05,4.106064651404e-05,4.053369950927e-05,
  3.999690340298e-05,3.945042200525e-05,3.889442141298e-05, 3.83290699607e-05,
  3.775453817069e-05,3.717099870272e-05,3.657862630327e-05,3.597759775429e-05,
  3.536809182148e-05,3.475028920223e-05,3.412437247302e-05, 3.34905260365e-05,
  3.284893606812e-05,3.219979046247e-05,3.154327877916e-05,3.087959218844e-05,
  3.020892341643e-05,2.953146669005e-05,2.884741768174e-05,2.815697345371e-05,
  2.746033240216e-05,2.675769420102e-05,2.604925974563e-05,2.533523109611e-05,
  2.461581142054e-05,2.389120493798e-05,2.316161686128e-05,2.242725333977e-05,
  2.168832140178e-05,2.094502889707e-05,2.019758443909e-05,1.944619734723e-05,
  1.869107758892e-05,1.793243572172e-05, 1.71704828353e-05,1.640543049351e-05,
  1.563749067628e-05,1.486687572164e-05,1.409379826773e-05, 1.33184711948e-05,
  1.254110756731e-05,1.176192057609e-05,1.098112348051e-05,1.019892955087e-05,
  9.415552010785e-06,8.631203979751e-06,7.846098415855e-06,7.060448058622e-06,
  6.274465372044e-06,5.488362487792e-06,4.702351148637e-06,3.916642652079e-06,
  3.131447794211e-06,2.346976813835e-06,1.563439336828e-06,7.810443207942e-07,
  2.570254445092e-19,-7.794861693818e-07,-1.557207563715e-06,-2.332958446001e-06,
  -3.106534019645e-06,-3.877730481851e-06,-4.64634507665e-06,-5.412176147535e-06,
  -6.175023189701e-06,-6.934686901859e-06,-7.690969237636e-06,-8.443673456528e-06,
  -9.19260417439e-06,-9.937567413478e-06, -1.0678370652e-05,-1.141482287315e-05,
  -1.214673461374e-05,-1.287391801212e-05,-1.359618685582e-05,-1.431335662843e-05,
  -1.502524455606e-05,-1.573166965317e-05,-1.643245276791e-05,-1.712741662675e-05,
  -1.781638587861e-05,-1.849918713837e-05,-1.917564902972e-05,-1.984560222741e-05,
  -2.050887949889e-05,-2.116531574522e-05,-2.181474804141e-05,-2.245701567605e-05,
  -2.309196019025e-05,-2.371942541594e-05,-2.433925751341e-05,-2.49513050082e-05,
  -2.555541882727e-05,-2.615145233443e-05,-2.673926136502e-05,-2.731870425993e-05,
  -2.788964189878e-05,-2.845193773244e-05,-2.900545781468e-05,-2.955007083318e-05,
  -3.008564813967e-05,-3.061206377932e-05,-3.112919451938e-05,-3.163691987694e-05,
  -3.213512214596e-05,-3.262368642353e-05,-3.31025006352e-05,-3.357145555959e-05,
  -3.403044485216e-05,-3.447936506814e-05,-3.491811568465e-05,-3.534659912194e-05,
  -3.576472076387e-05,-3.617238897748e-05,-3.656951513172e-05,-3.695601361538e-05,
  -3.733180185414e-05,-3.769680032672e-05,-3.805093258024e-05,-3.839412524471e-05,
  -3.87263080466e-05,-3.904741382161e-05,-3.935737852657e-05,-3.965614125039e-05,
  -3.994364422427e-05,-4.021983283092e-05,-4.048465561301e-05,-4.073806428066e-05,
  -4.098001371811e-05,-4.121046198955e-05,-4.142937034395e-05,-4.163670321919e-05,
  -4.183242824518e-05,-4.201651624621e-05,-4.218894124233e-05,-4.234968044998e-05,
  -4.249871428165e-05,-4.263602634474e-05,-4.276160343955e-05,-4.287543555636e-05,
  -4.297751587176e-05,-4.306784074397e-05,-4.314640970748e-05,-4.321322546671e-05,
  -4.326829388891e-05,-4.331162399616e-05,-4.334322795654e-05,-4.336312107453e-05,
  -4.337132178052e-05,-4.336785161949e-05,-4.335273523891e-05,-4.332600037579e-05,
  -4.328767784299e-05,-4.32378015146e-05,-4.317640831064e-05,-4.310353818093e-05,
  -4.301923408812e-05,-4.292354199004e-05,-4.281651082117e-05,-4.269819247345e-05,
  -4.256864177622e-05,-4.242791647547e-05,-4.227607721237e-05,-4.211318750095e-05,
  -4.19393137052e-05,-4.175452501531e-05,-4.155889342325e-05,-4.13524936977e-05,
  -4.113540335813e-05,-4.090770264835e-05,-4.066947450929e-05,-4.042080455109e-05,
  -4.01617810246e-05,-3.989249479215e-05,-3.96130392977e-05,-3.932351053639e-05,
  -3.90240070234e-05,-3.871462976218e-05,-3.839548221221e-05,-3.806667025596e-05,
  -3.77283021654e-05,-3.738048856793e-05,-3.702334241163e-05,-3.66569789301e-05,
  -3.628151560664e-05,-3.589707213796e-05,-3.550377039731e-05,-3.510173439716e-05,
  -3.469109025133e-05,-3.427196613665e-05,-3.384449225411e-05,-3.340880078961e-05,
  -3.296502587417e-05,-3.251330354372e-05,-3.205377169852e-05,-3.158657006207e-05,
  -3.111184013967e-05,-3.062972517651e-05,-3.014037011551e-05,-2.964392155461e-05,
  -2.914052770388e-05,-2.86303383421e-05,-2.811350477318e-05,-2.759017978212e-05,
  -2.706051759074e-05,-2.652467381306e-05,-2.598280541043e-05,-2.54350706464e-05,
  -2.488162904124e-05,-2.432264132637e-05,-2.375826939837e-05,-2.318867627293e-05,
  -2.261402603849e-05,-2.203448380973e-05,-2.145021568086e-05,-2.086138867876e-05,
  -2.026817071594e-05,-1.967073054335e-05,-1.90692377031e-05,-1.846386248105e-05,
  -1.785477585924e-05,-1.724214946833e-05,-1.662615553985e-05,-1.600696685848e-05,
  -1.538475671424e-05,-1.475969885461e-05,-1.413196743669e-05,-1.350173697929e-05,
  -1.286918231506e-05,-1.223447854259e-05,-1.159780097859e-05,-1.095932511008e-05,
  -1.031922654661e-05, -9.6776809726e-06, -9.0348640997e-06,-8.390951619285e-06,
  -7.746119155031e-06,-7.100542215608e-06,-6.454396147508e-06,-5.80785608801e-06,
  -5.161096918299e-06,-4.51429321675e-06,-3.867619212394e-06,-3.221248738567e-06,
  -2.57535518677e-06,-1.930111460737e-06,-1.285689930734e-06,-6.42262388093e-07,
  -7.683552443398e-20,6.409267354574e-07,1.280348033969e-06,1.918094869393e-06,
  2.553999017852e-06,3.187893101521e-06,3.819610632095e-06,4.448986053929e-06,
5.07585478683e-06,5.700053268506e-06,6.321418996642e-06, 6.93979057061e-06,
  7.555007732789e-06,8.166911409495e-06,8.775343751502e-06, 9.38014817415e-06,
  9.981169397027e-06,1.057825348321e-05,1.117124787809e-05,1.176000144768e-05,
  1.234436451654e-05,1.292418890514e-05,1.349932796686e-05,1.406963662435e-05,
  1.463497140551e-05,1.519519047891e-05,1.575015368868e-05,1.629972258892e-05,
  1.684376047756e-05,1.738213242961e-05,1.791470532998e-05,1.844134790564e-05,
  1.896193075728e-05,1.947632639035e-05,1.998440924555e-05,2.048605572871e-05,
  2.098114424013e-05,2.146955520322e-05,2.195117109264e-05,2.242587646176e-05,
2.28935579695e-05,2.335410440659e-05,2.380740672117e-05,2.425335804372e-05,
  2.469185371141e-05,2.512279129178e-05,2.554607060572e-05,2.596159374986e-05,
  2.636926511827e-05,2.676899142348e-05,2.716068171683e-05, 2.75442474082e-05,
  2.791960228494e-05,2.828666253027e-05,2.864534674084e-05,2.899557594375e-05,
  2.933727361273e-05,2.967036568374e-05,2.999478056982e-05, 3.03104491752e-05,
  3.061730490884e-05,3.091528369706e-05,3.120432399568e-05,3.148436680127e-05,
  3.175535566179e-05,3.201723668652e-05, 3.22699585552e-05,3.251347252651e-05,
  3.274773244586e-05,3.297269475239e-05,3.318831848529e-05,3.339456528946e-05,
  3.359139942033e-05,3.377878774805e-05,3.395669976098e-05,3.412510756837e-05,
  3.428398590243e-05,3.443331211961e-05, 3.45730662012e-05,3.470323075322e-05,
  3.482379100559e-05,3.493473481056e-05,3.503605264054e-05,3.512773758508e-05,
  3.520978534724e-05,3.528219423927e-05,3.534496517752e-05,3.539810167671e-05,
  3.544160984352e-05,3.547549836942e-05,3.549977852291e-05,3.551446414101e-05,
  3.551957162009e-05,3.551511990603e-05,3.550113048371e-05,3.547762736586e-05,
  3.544463708119e-05,3.540218866189e-05,3.535031363055e-05,3.528904598628e-05,
  3.521842219036e-05,3.513848115111e-05,3.504926420823e-05,3.495081511643e-05,
  3.484318002857e-05,3.472640747799e-05,3.460054836044e-05,3.446565591526e-05,
  3.432178570604e-05,3.416899560066e-05,3.400734575076e-05,3.383689857065e-05,
  3.365771871558e-05,3.346987305959e-05,3.327343067265e-05,3.306846279733e-05,
  3.285504282498e-05,3.263324627126e-05,3.240315075122e-05, 3.21648359539e-05,
  3.191838361632e-05,3.166387749707e-05,3.140140334933e-05,3.113104889345e-05,
  3.085290378909e-05,3.056705960679e-05,3.027360979917e-05,2.997264967167e-05,
  2.966427635281e-05,2.934858876409e-05,2.902568758935e-05,2.869567524388e-05,
  2.835865584295e-05, 2.80147351701e-05,2.766402064498e-05,2.730662129076e-05,
2.69426477013e-05,2.657221200782e-05,2.619542784538e-05, 2.58124103189e-05,
2.54232759689e-05,2.502814273693e-05,2.462712993067e-05, 2.42203581888e-05,
  2.380794944546e-05, 2.33900268946e-05, 2.29667149539e-05,2.253813922854e-05,
2.21044264747e-05,2.166570456282e-05,2.122210244065e-05,2.077375009605e-05,
  2.032077851964e-05,1.986331966722e-05,1.940150642203e-05,1.893547255682e-05,
  1.846535269578e-05,1.799128227632e-05,1.751339751069e-05,1.703183534747e-05,
  1.654673343301e-05,1.605823007266e-05,  1.5566464192e-05, 1.50715752979e-05,
  1.457370343958e-05,1.407298916957e-05,1.356957350461e-05,1.306359788653e-05,
1.25552041431e-05, 1.20445344488e-05,1.153173128572e-05,1.101693740426e-05,
  1.050029578404e-05,9.981949594709e-06,9.462042156804e-06,8.940716902703e-06,
  8.418117337576e-06,7.894387000429e-06, 7.36966942522e-06,6.844108102047e-06,
  6.317846438449e-06,  5.7910277208e-06,5.263795075822e-06,4.736291432229e-06,
  4.208659482502e-06,3.681041644811e-06,3.153580025096e-06,2.626416379312e-06,
  2.099692075851e-06, 1.57354805815e-06,1.048124807497e-06,5.235623060373e-07,
  -4.701365451271e-20,-5.22423236852e-07,-1.043569139541e-06,-1.563300087947e-06,
  -2.081479142625e-06,-2.59797008037e-06,-3.112637429499e-06,-3.62534650486e-06,
  -4.135963442555e-06,-4.644355234357e-06,-5.150389761824e-06,-5.653935830102e-06,
  -6.154863201404e-06,-6.653042628144e-06,-7.148345885755e-06,-7.640645805135e-06,
  -8.129816304753e-06,-8.615732422378e-06,-9.098270346452e-06,-9.577307447062e-06,
  -1.005272230655e-05,-1.052439474969e-05,-1.099220587352e-05,-1.145603807671e-05,
  -1.191577508854e-05,-1.237130199744e-05,-1.282250527912e-05,-1.326927282426e-05,
  -1.371149396574e-05,-1.414905950539e-05,-1.458186174041e-05,-1.500979448916e-05,
  -1.543275311657e-05,-1.585063455912e-05,-1.626333734924e-05,-1.667076163926e-05,
  -1.707280922492e-05,-1.746938356832e-05,-1.78603898204e-05,-1.824573484287e-05,
  -1.862532722973e-05,-1.899907732813e-05,-1.936689725886e-05,-1.972870093617e-05,
  -2.008440408719e-05,-2.043392427071e-05,-2.07771808955e-05,-2.111409523807e-05,
  -2.144459045982e-05,-2.176859162374e-05,-2.208602571052e-05,-2.239682163406e-05,
  -2.270091025649e-05,-2.299822440258e-05,-2.328869887363e-05,-2.357227046074e-05,
  -2.384887795756e-05,-2.411846217247e-05,-2.438096594012e-05,-2.463633413248e-05,
  -2.488451366927e-05,-2.512545352779e-05,-2.535910475227e-05,-2.55854204625e-05,
  -2.580435586196e-05,-2.601586824539e-05,-2.621991700572e-05,-2.641646364043e-05,
  -2.660547175733e-05,-2.678690707979e-05,-2.696073745131e-05,-2.71269328396e-05,
  -2.728546533998e-05,-2.743630917825e-05,-2.757944071299e-05,-2.771483843721e-05,
  -2.784248297951e-05,-2.796235710458e-05,-2.807444571315e-05,-2.817873584137e-05,
  -2.827521665959e-05,-2.83638794706e-05,-2.844471770724e-05,-2.851772692951e-05,
  -2.858290482103e-05,-2.864025118499e-05,-2.868976793955e-05,-2.873145911259e-05,
  -2.876533083596e-05,-2.879139133923e-05,-2.880965094272e-05,-2.882012205017e-05,
  -2.882281914073e-05,-2.881775876044e-05,-2.880495951318e-05,-2.87844420511e-05,
  -2.875622906448e-05,-2.872034527103e-05,-2.867681740479e-05,-2.862567420435e-05,
  -2.856694640067e-05,-2.850066670432e-05,-2.842686979225e-05,-2.834559229406e-05,
  -2.82568727777e-05,-2.816075173478e-05,-2.805727156532e-05,-2.794647656202e-05,
  -2.782841289412e-05,-2.770312859069e-05,-2.757067352349e-05,-2.743109938943e-05,
  -2.728445969246e-05,-2.713080972514e-05,-2.697020654962e-05,-2.680270897833e-05,
  -2.662837755411e-05,-2.644727453002e-05,-2.625946384866e-05,-2.606501112112e-05,
  -2.586398360548e-05,-2.565645018496e-05,-2.544248134565e-05,-2.522214915387e-05,
  -2.499552723314e-05,-2.476269074076e-05,-2.452371634408e-05,-2.427868219638e-05,
  -2.402766791238e-05,-2.377075454346e-05,-2.350802455249e-05,-2.323956178838e-05,
  -2.29654514603e-05,-2.268578011156e-05,-2.24006355932e-05,-2.211010703733e-05,
  -2.181428483013e-05,-2.151326058454e-05,-2.120712711279e-05,-2.089597839856e-05,
  -2.057990956893e-05,-2.025901686608e-05,-1.993339761876e-05,-1.960315021349e-05,
  -1.926837406557e-05,-1.89291695899e-05,-1.858563817153e-05,-1.823788213606e-05,
  -1.788600471984e-05,-1.753011004001e-05,-1.717030306429e-05,-1.680668958073e-05,
  -1.643937616721e-05,-1.60684701608e-05,-1.569407962705e-05,-1.53163133291e-05,
  -1.493528069665e-05,-1.455109179488e-05,-1.41638572932e-05, -1.3773688434e-05,
  -1.33806970012e-05,-1.298499528879e-05,-1.258669606932e-05,-1.218591256228e-05,
  -1.178275840247e-05,-1.13773476083e-05,-1.096979455006e-05,-1.056021391822e-05,
  -1.01487206916e-05,-9.735430105691e-06,-9.320457620807e-06,-8.903918890388e-06,
  -8.485929729243e-06,-8.066606081847e-06,-7.646063990674e-06,-7.22441956457e-06,
  -6.801788947181e-06,-6.378288285443e-06,-5.954033698148e-06,-5.529141244573e-06,
  -5.103726893217e-06,-4.677906490617e-06,-4.251795730271e-06,-3.825510121681e-06,
  -3.399164959506e-06,-2.972875292847e-06,-2.546755894672e-06,-2.120921231374e-06,
  -1.695485432495e-06,-1.270562260599e-06,-8.462650813206e-07,-4.227068335826e-07,
  -5.688502392494e-20,4.217434225234e-07,8.424119520041e-07,1.261894650379e-06,
  1.680081152293e-06,2.096861693666e-06,2.512127140033e-06,2.925769014646e-06,
  3.337679526339e-06,3.747751597138e-06,4.155878889617e-06,4.561955833995e-06,
  4.965877654956e-06,5.367540398195e-06,5.766840956687e-06,6.163677096658e-06,
  6.557947483264e-06,6.949551705966e-06,7.338390303601e-06,7.724364789131e-06,
  8.107377674081e-06,8.487332492639e-06,8.864133825434e-06, 9.23768732297e-06,
  9.607899728719e-06,9.974678901862e-06,1.033793383968e-05,1.069757469958e-05,
  1.105351282076e-05,1.140566074552e-05,1.175393224012e-05,1.209824231542e-05,
  1.243850724693e-05,1.277464459464e-05,1.310657322239e-05,1.343421331681e-05,
  1.375748640591e-05,1.407631537726e-05,1.439062449571e-05,1.470033942077e-05,
1.50053872235e-05,1.530569640304e-05,1.560119690268e-05,1.589182012546e-05,
  1.617749894946e-05,1.645816774254e-05,1.673376237668e-05, 1.70042202419e-05,
  1.726948025971e-05,1.752948289611e-05,1.778417017417e-05,1.803348568614e-05,
1.82773746051e-05,1.851578369617e-05,1.874866132726e-05,1.897595747934e-05,
  1.919762375628e-05, 1.94136133942e-05,1.962388127039e-05,1.982838391169e-05,
  2.002707950254e-05, 2.02199278924e-05,2.040689060281e-05,2.058793083395e-05,
  2.076301347073e-05,2.093210508839e-05,2.109517395766e-05,2.125219004945e-05,
  2.140312503901e-05, 2.15479523097e-05,2.168664695622e-05,2.181918578743e-05,
  2.194554732862e-05, 2.20657118234e-05,2.217966123503e-05,2.228737924737e-05,
  2.238885126528e-05,2.248406441461e-05,2.257300754167e-05, 2.26556712123e-05,
  2.273204771044e-05, 2.28021310362e-05,2.286591690356e-05,2.292340273752e-05,
  2.297458767083e-05, 2.30194725403e-05,2.305805988258e-05,2.309035392955e-05,
  2.311636060324e-05,2.313608751032e-05,2.314954393607e-05,2.315674083806e-05,
  2.315769083921e-05,2.315240822057e-05,2.314090891355e-05,2.312321049181e-05,
  2.309933216269e-05,2.306929475815e-05,2.303312072542e-05,2.299083411714e-05,
  2.294246058111e-05,2.288802734961e-05,2.282756322841e-05,2.276109858524e-05,
  2.268866533793e-05,2.261029694223e-05,2.252602837908e-05,2.243589614165e-05,
  2.233993822191e-05,2.223819409683e-05,2.213070471429e-05,2.201751247848e-05,
2.18986612351e-05,2.177419625608e-05,2.164416422401e-05, 2.15086132162e-05,
  2.136759268842e-05,2.122115345827e-05,2.106934768828e-05, 2.09122288686e-05,
  2.074985179945e-05,2.058227257318e-05,2.040954855611e-05,2.023173837002e-05,
  2.004890187328e-05,1.986110014183e-05,1.966839544973e-05,1.947085124955e-05,
  1.926853215239e-05,1.906150390771e-05,1.884983338283e-05,1.863358854223e-05,
  1.841283842658e-05,1.818765313151e-05,1.795810378618e-05,1.772426253158e-05,
  1.748620249864e-05,1.724399778611e-05,1.699772343822e-05,1.674745542216e-05,
  1.649327060532e-05,1.623524673239e-05,1.597346240226e-05,1.570799704469e-05,
  1.543893089692e-05, 1.516634498e-05,1.489032107502e-05,1.461094169922e-05,
  1.432829008186e-05,1.404245014008e-05,1.375350645451e-05,1.346154424485e-05,
  1.316664934526e-05, 1.28689081797e-05,1.256840773715e-05,1.226523554671e-05,
  1.195947965267e-05,1.165122858939e-05,1.134057135627e-05,1.102759739248e-05,
  1.071239655178e-05,1.039505907714e-05,1.007567557548e-05,9.754336992227e-06,
  9.431134585901e-06,9.106159902694e-06,8.779504750998e-06, 8.45126117593e-06,
  8.121521433863e-06,7.790377966952e-06,7.457923377669e-06, 7.12425040336e-06,
  6.789451890823e-06,6.453620770916e-06,6.116850033201e-06,5.779232700639e-06,
  5.440861804327e-06,5.101830358297e-06,4.762231334382e-06,4.422157637149e-06,
  4.081702078909e-06,3.740957354819e-06,3.400016018061e-06,3.058970455134e-06,
  2.717912861243e-06,2.376935215791e-06,2.036129258001e-06,1.695586462655e-06,
1.35539801596e-06,1.015654791554e-06,6.764473266489e-07,3.378657983302e-07,
  1.212664031183e-19,-3.370606820112e-07,-6.732272916725e-07,-1.008411326304e-06,
  -1.342524759454e-06,-1.675480063589e-06,-2.007190232597e-06,-2.337568804096e-06,
  -2.666529881538e-06,-2.993988156111e-06,-3.319858928428e-06,-3.644058129996e-06,
  -3.966502344471e-06,-4.287108828672e-06,-4.605795533373e-06,-4.922481123858e-06,
  -5.237085000221e-06,-5.549527317432e-06,-5.859729005143e-06,-6.167611787234e-06,
  -6.473098201108e-06,-6.776111616705e-06,-7.076576255254e-06,-7.374417207746e-06,
  -7.669560453131e-06,-7.961932876222e-06,-8.251462285316e-06,-8.538077429527e-06,
  -8.821708015812e-06, -9.1022847257e-06,-9.379739231725e-06,-9.654004213537e-06,
  -9.925013373711e-06,-1.019270145324e-05,-1.045700424669e-05,-1.071785861708e-05,
  -1.097520251038e-05,-1.122897496972e-05,-1.147911614925e-05,-1.172556732765e-05,
  -1.196827092137e-05,-1.220717049743e-05,-1.244221078596e-05,-1.267333769233e-05,
  -1.290049830902e-05,-1.312364092703e-05,-1.334271504702e-05,-1.355767139004e-05,
  -1.376846190798e-05,-1.397503979357e-05,-1.417735949004e-05,-1.437537670053e-05,
  -1.456904839691e-05,-1.475833282851e-05,-1.494318953021e-05,-1.512357933039e-05,
  -1.529946435837e-05,-1.547080805151e-05,-1.563757516199e-05,-1.579973176314e-05,
  -1.595724525544e-05,-1.611008437217e-05,-1.625821918461e-05,-1.640162110692e-05,
  -1.654026290068e-05,-1.667411867891e-05,-1.680316390991e-05,-1.692737542056e-05,
  -1.704673139932e-05,-1.716121139887e-05,-1.727079633828e-05,-1.737546850494e-05,
-1.7475211556e-05,-1.757001051946e-05,-1.765985179497e-05,-1.774472315411e-05,
  -1.782461374045e-05,-1.789951406908e-05,-1.796941602593e-05,-1.803431286662e-05,
  -1.809419921494e-05,-1.814907106101e-05,-1.819892575904e-05,-1.824376202475e-05,
  -1.828357993241e-05,-1.83183809115e-05,-1.834816774307e-05,-1.837294455568e-05,
  -1.839271682102e-05,-1.840749134915e-05,-1.841727628343e-05,-1.842208109506e-05,
  -1.842191657731e-05,-1.841679483934e-05,-1.840672929977e-05,-1.839173467985e-05,
  -1.837182699627e-05,-1.834702355375e-05,-1.831734293714e-05,-1.828280500333e-05,
  -1.824343087276e-05,-1.819924292063e-05,-1.815026476777e-05,-1.809652127124e-05,
  -1.80380385146e-05,-1.797484379782e-05,-1.790696562694e-05,-1.783443370346e-05,
  -1.775727891332e-05,-1.767553331571e-05,-1.758923013147e-05,-1.749840373135e-05,
  -1.740308962383e-05,-1.730332444274e-05,-1.719914593466e-05,-1.709059294591e-05,
  -1.697770540941e-05,-1.686052433118e-05,-1.673909177667e-05,-1.661345085671e-05,
  -1.648364571339e-05,-1.634972150549e-05,-1.621172439387e-05,-1.606970152644e-05,
  -1.592370102306e-05,-1.577377196011e-05,-1.561996435486e-05,-1.546232914964e-05,
  -1.530091819582e-05,-1.51357842375e-05,-1.496698089512e-05,-1.479456264872e-05,
  -1.461858482118e-05,-1.443910356112e-05,-1.425617582574e-05,-1.406985936335e-05,
  -1.388021269591e-05,-1.368729510119e-05,-1.349116659495e-05,-1.329188791289e-05,
  -1.30895204924e-05,-1.288412645427e-05,-1.267576858416e-05,-1.246451031404e-05,
  -1.225041570338e-05,-1.20335494203e-05,-1.18139767226e-05,-1.159176343863e-05,
  -1.13669759481e-05,-1.113968116274e-05,-1.090994650691e-05,-1.067783989811e-05,
  -1.044342972736e-05,-1.020678483956e-05,-9.967974513743e-06,-9.727068443271e-06,
  -9.484136715947e-06, -9.2392497941e-06,-8.992478494592e-06,-8.743893968797e-06,
  -8.493567682523e-06,-8.241571395911e-06,-7.987977143297e-06,-7.732857213051e-06,
  -7.476284127398e-06,-7.218330622228e-06,-6.959069626892e-06,-6.698574243997e-06,
  -6.436917729212e-06,-6.174173471073e-06,-5.910414970806e-06,-5.645715822169e-06,
  -5.380149691321e-06,-5.113790296717e-06,-4.846711389043e-06,-4.57898673119e-06,
  -4.310690078274e-06,-4.041895157709e-06,-3.772675649337e-06,-3.503105165619e-06,
  -3.233257231893e-06,-2.963205266709e-06,-2.693022562236e-06,-2.422782264755e-06,
  -2.152557355242e-06,-1.882420630039e-06,-1.612444681626e-06, -1.3427018795e-06,
  -1.073264351152e-06,-8.042039631673e-07,-5.355923024392e-07,-2.675006575027e-07,
  -3.999435825714e-20,2.668390337239e-07,5.329461608894e-07,7.982514704082e-07,
  1.062685440863e-06, 1.32617895834e-06,1.588663334099e-06,1.850070322095e-06,
  2.110332136326e-06, 2.36938146802e-06,2.627151502645e-06,2.883575936744e-06,
  3.138588994595e-06,3.392125444675e-06,3.644120615947e-06,3.894510413945e-06,
  4.143231336672e-06,4.390220490291e-06,4.635415604611e-06,4.878755048371e-06,
  5.120177844311e-06,5.359623684023e-06,5.597032942593e-06,5.832346693011e-06,
  6.065506720363e-06,6.296455535793e-06, 6.52513639023e-06,6.751493287889e-06,
  6.975470999521e-06,7.197015075432e-06,7.416071858259e-06, 7.63258849549e-06,
  7.846512951745e-06,  8.0577940208e-06,8.266381337355e-06,8.472225388547e-06,
  8.675277525205e-06,8.875489972835e-06,9.072815842355e-06,9.267209140545e-06,
  9.458624780246e-06,9.647018590272e-06,9.832347325063e-06,1.001456867405e-05,
  1.019364127077e-05,1.036952470164e-05,1.054217951454e-05,1.071156722704e-05,
1.08776503344e-05,1.104039231719e-05,1.119975764878e-05, 1.13557118024e-05,
  1.150822125795e-05,1.165725350858e-05,1.180277706692e-05,1.194476147099e-05,
  1.208317728993e-05, 1.22179961293e-05,1.234919063622e-05,1.247673450406e-05,
  1.260060247702e-05,1.272077035422e-05,1.283721499368e-05,1.294991431585e-05,
  1.305884730694e-05,1.316399402188e-05,1.326533558709e-05,1.336285420283e-05,
  1.345653314533e-05, 1.35463567686e-05,1.363231050595e-05,1.371438087121e-05,
  1.379255545967e-05,1.386682294868e-05,  1.3937173098e-05,1.400359674986e-05,
  1.406608582867e-05,1.412463334053e-05,1.417923337235e-05,1.422988109075e-05,
  1.427657274062e-05,1.431930564346e-05,1.435807819535e-05,1.439288986471e-05,
  1.442374118969e-05,1.445063377541e-05,1.447357029074e-05,1.449255446497e-05,
  1.450759108409e-05,1.451868598685e-05,1.452584606052e-05,1.452907923638e-05,
  1.452839448495e-05,1.452380181093e-05,1.451531224791e-05,1.450293785278e-05,
  1.448669169988e-05,1.446658787491e-05,1.444264146858e-05,1.441486856998e-05,
1.43832862597e-05,1.434791260275e-05,1.430876664116e-05,1.426586838638e-05,
  1.421923881141e-05,1.416889984275e-05,  1.4114874352e-05,1.405718614735e-05,
  1.399585996476e-05,1.393092145893e-05,1.386239719403e-05,1.379031463428e-05,
  1.371470213421e-05,1.363558892874e-05, 1.35530051231e-05,1.346698168249e-05,
  1.337755042148e-05,1.328474399338e-05,1.318859587917e-05,1.308914037649e-05,
  1.298641258819e-05,1.288044841092e-05,1.277128452336e-05,1.265895837436e-05,
  1.254350817085e-05,1.242497286564e-05,1.230339214502e-05,1.217880641612e-05,
  1.205125679426e-05,1.192078508998e-05,1.178743379604e-05, 1.16512460742e-05,
  1.151226574187e-05,1.137053725862e-05,1.122610571256e-05,1.107901680655e-05,
  1.092931684432e-05,1.077705271647e-05,1.062227188628e-05,1.046502237546e-05,
1.03053527498e-05,1.014331210463e-05,9.978950050269e-06,9.812316697313e-06,
  9.643462641831e-06,9.472438950491e-06,9.299297145575e-06,9.124089189922e-06,
  8.946867471784e-06,8.767684789609e-06,8.586594336752e-06,8.403649686116e-06,
  8.218904774734e-06,8.032413888288e-06,7.844231645575e-06,7.654412982927e-06,
  7.463013138577e-06,7.270087636991e-06,7.075692273159e-06,6.879883096855e-06,
  6.682716396867e-06,6.484248685205e-06,6.284536681289e-06,6.083637296118e-06,
  5.881607616433e-06,5.678504888871e-06,5.474386504116e-06,5.269309981053e-06,
  5.063332950928e-06,4.856513141517e-06,4.648908361311e-06, 4.44057648372e-06,
  4.231575431301e-06,4.021963160011e-06, 3.81179764349e-06,3.601136857389e-06,
  3.390038763724e-06,3.178561295286e-06,2.966762340092e-06,2.754699725892e-06,
  2.542431204729e-06,2.330014437561e-06,2.117506978948e-06,1.904966261807e-06,
  1.692449582238e-06,1.480014084423e-06,1.267716745613e-06,1.055614361194e-06,
  8.437635298387e-07,6.322206387516e-07,4.210418490126e-07,2.102830810132e-07,
  -1.259143502379e-20,-2.097519982771e-07,-4.189178018081e-07,-6.274425964507e-07,
  -8.352718799423e-07,-1.042351475792e-06,-1.248627547047e-06,-1.454046609936e-06,
  -1.658555547375e-06,-1.862101622346e-06,-2.064632491137e-06,-2.266096216437e-06,
  -2.466441280295e-06,-2.665616596925e-06,-2.863571525368e-06,-3.060255881996e-06,
  -3.25561995286e-06,-3.449614505888e-06,-3.64219080291e-06,-3.833300611523e-06,
  -4.022896216793e-06,-4.210930432784e-06,-4.39735661391e-06,-4.582128666118e-06,
  -4.765201057895e-06,-4.946528831084e-06,-5.126067611531e-06,-5.303773619538e-06,
  -5.47960368013e-06,-5.653515233134e-06,-5.825466343067e-06,-5.995415708825e-06,
  -6.163322673184e-06,-6.329147232095e-06,-6.49285004378e-06,-6.654392437632e-06,
  -6.813736422906e-06, -6.9708446972e-06,-7.125680654741e-06,-7.278208394446e-06,
  -7.428392727787e-06,-7.576199186432e-06,-7.721594029681e-06,-7.864544251678e-06,
  -8.005017588412e-06,-8.142982524501e-06,-8.278408299753e-06,-8.411264915503e-06,
  -8.541523140742e-06,-8.669154518005e-06,-8.794131369049e-06,-8.916426800305e-06,
  -9.036014708092e-06,-9.152869783624e-06,-9.266967517772e-06,-9.37828420561e-06,
  -9.486796950727e-06,-9.592483669313e-06,-9.69532309401e-06,-9.795294777542e-06,
  -9.892379096106e-06,-9.986557252539e-06,-1.007781127925e-05,-1.016612404091e-05,
  -1.025147923696e-05,-1.03338614038e-05,-1.041325591683e-05,-1.048964899224e-05,
  -1.05630276885e-05,-1.063337990776e-05,-1.070069439683e-05,-1.076496074815e-05,
  -1.082616940032e-05,-1.088431163854e-05,-1.093937959478e-05,-1.09913662477e-05,
  -1.104026542237e-05,-1.108607178975e-05,-1.112878086595e-05,-1.116838901126e-05,
  -1.120489342897e-05,-1.12382921639e-05,-1.126858410086e-05,-1.129576896268e-05,
  -1.131984730821e-05,-1.134082052995e-05,-1.135869085161e-05,-1.137346132531e-05,
  -1.138513582862e-05,-1.139371906147e-05,-1.139921654268e-05,-1.140163460642e-05,
  -1.140098039841e-05,-1.139726187189e-05,-1.139048778339e-05,-1.138066768836e-05,
  -1.136781193649e-05,-1.135193166693e-05,-1.133303880323e-05,-1.131114604813e-05,
  -1.128626687813e-05,-1.12584155379e-05,-1.122760703445e-05,-1.119385713114e-05,
  -1.115718234152e-05,-1.111759992291e-05,-1.107512786991e-05,-1.102978490763e-05,
  -1.098159048477e-05,-1.093056476656e-05,-1.08767286275e-05,-1.082010364387e-05,
  -1.076071208621e-05,-1.06985769115e-05,-1.06337217552e-05,-1.056617092324e-05,
  -1.049594938367e-05,-1.042308275833e-05,-1.034759731421e-05,-1.026951995482e-05,
  -1.018887821123e-05,-1.010570023315e-05,-1.002001477972e-05,-9.931851210234e-06,
  -9.841239474729e-06,-9.748210104397e-06,-9.652794201906e-06,-9.555023431575e-06,
  -9.454930009425e-06,-9.352546693115e-06,-9.24790677175e-06,-9.141044055578e-06,
  -9.03199286557e-06, -8.9207880229e-06,-8.807464838305e-06,-8.692059101349e-06,
  -8.574607069586e-06,-8.455145457626e-06,-8.333711426103e-06,-8.210342570558e-06,
  -8.085076910227e-06,-7.957952876756e-06,-7.829009302819e-06,-7.698285410676e-06,
  -7.56582080064e-06,-7.431655439483e-06,-7.295829648773e-06,-7.158384093142e-06,
  -7.019359768495e-06,-6.878797990162e-06,-6.736740380995e-06,-6.593228859412e-06,
  -6.448305627395e-06,-6.302013158439e-06,-6.154394185471e-06,-6.005491688714e-06,
  -5.855348883533e-06,-5.704009208236e-06,-5.55151631186e-06,-5.397914041922e-06,
  -5.243246432153e-06,-5.087557690216e-06,-4.930892185405e-06,-4.77329443634e-06,
  -4.614809098642e-06,-4.45548095262e-06,-4.295354890941e-06,-4.134475906314e-06,
  -3.97288907917e-06,-3.810639565359e-06,-3.647772583855e-06,-3.484333404473e-06,
  -3.320367335615e-06,-3.155919712022e-06,-2.991035882567e-06,-2.825761198067e-06,
  -2.660140999125e-06,-2.494220604016e-06, -2.3280452966e-06,-2.161660314281e-06,
  -1.995110836013e-06,-1.828441970344e-06,-1.661698743521e-06,-1.494926087639e-06,
  -1.328168828851e-06,-1.16147167564e-06,-9.948792071413e-07,-8.284358615467e-07,
  -6.621859245632e-07,-4.96173517949e-07,-3.30442588123e-07,-1.650368948487e-07,
  -9.872322676621e-20,1.646247435912e-07,3.287942032038e-07,4.924654772061e-07,
  6.555959059452e-07,8.181430825436e-07,9.800648635986e-07,1.141319379784e-06,
  1.301865046351e-06,1.461660573525e-06,1.620664976797e-06,1.778837587104e-06,
  1.936138060903e-06,2.092526390128e-06, 2.24796291203e-06,2.402408318905e-06,
  2.555823667695e-06,2.708170389469e-06,2.859410298784e-06,3.009505602906e-06,
  3.158418910918e-06,3.306113242686e-06,3.452552037695e-06,3.597699163749e-06,
  3.741518925536e-06,3.883976073052e-06,4.025035809882e-06,4.164663801346e-06,
  4.302826182488e-06, 4.43948956593e-06,4.574621049574e-06,4.708188224149e-06,
  4.840159180618e-06,4.970502517418e-06,5.099187347561e-06,5.226183305563e-06,
5.35146055423e-06,5.474989791277e-06,5.596742255788e-06,5.716689734514e-06,
  5.834804568015e-06,5.951059656627e-06,6.065428466275e-06,6.177885034113e-06,
  6.288403973996e-06,6.396960481791e-06,6.503530340513e-06,6.608089925291e-06,
  6.710616208167e-06,6.811086762716e-06,6.909479768505e-06,7.005774015368e-06,
  7.099948907509e-06,7.191984467437e-06,7.281861339721e-06,7.369560794564e-06,
  7.455064731215e-06,7.538355681191e-06,7.619416811325e-06,7.698231926645e-06,
  7.774785473065e-06,7.849062539904e-06,7.921048862222e-06,7.990730822987e-06,
  8.058095455052e-06,8.123130442964e-06,8.185824124589e-06,8.246165492557e-06,
  8.304144195537e-06,8.359750539324e-06,8.412975487755e-06,8.463810663448e-06,
  8.512248348354e-06,8.558281484145e-06,8.601903672419e-06,8.643109174724e-06,
  8.681892912416e-06,8.718250466337e-06,8.752178076315e-06,8.783672640495e-06,
  8.812731714496e-06,8.839353510394e-06,8.863536895528e-06,8.885281391148e-06,
  8.904587170878e-06,8.921455059016e-06,8.935886528671e-06,8.947883699718e-06,
  8.957449336601e-06,8.964586845961e-06,8.969300274102e-06,8.971594304298e-06,
  8.971474253927e-06,8.968946071455e-06,8.964016333254e-06,8.956692240263e-06,
  8.946981614491e-06,8.934892895365e-06,8.920435135921e-06,8.903617998848e-06,
  8.884451752371e-06,8.862947265991e-06,8.839116006074e-06,8.812970031294e-06,
  8.784521987926e-06,8.753785105003e-06,8.720773189324e-06,8.685500620321e-06,
  8.647982344798e-06,8.608233871516e-06,8.566271265658e-06,8.522111143152e-06,
  8.475770664867e-06,8.427267530674e-06,8.376619973387e-06,8.323846752571e-06,
  8.268967148229e-06, 8.21200095437e-06,8.152968472453e-06,8.091890504715e-06,
  8.028788347384e-06,7.963683783779e-06,7.896599077295e-06,7.827556964283e-06,
  7.756580646822e-06,7.683693785385e-06,7.608920491403e-06,7.532285319728e-06,
  7.453813260999e-06,7.373529733912e-06,7.291460577397e-06,7.207632042702e-06,
  7.122070785387e-06,7.034803857239e-06,6.945858698092e-06,6.855263127575e-06,
  6.763045336774e-06,6.669233879821e-06,6.573857665404e-06,6.476945948214e-06,
  6.378528320309e-06,6.278634702425e-06,6.177295335211e-06,6.074540770407e-06,
  5.970401861965e-06,5.864909757107e-06, 5.75809588733e-06,5.649991959363e-06,
  5.540629946067e-06,5.430042077297e-06,5.318260830712e-06,5.205318922543e-06,
  5.091249298332e-06,4.976085123616e-06,4.859859774597e-06,4.742606828763e-06,
  4.624360055491e-06,4.505153406618e-06,4.385021006989e-06,4.263997144983e-06,
  4.142116263024e-06, 4.01941294807e-06,3.895921922088e-06,3.771678032525e-06,
  3.646716242764e-06,3.521071622571e-06,3.394779338548e-06,3.267874644576e-06,
  3.140392872262e-06,3.012369421393e-06,2.883839750391e-06,2.754839366781e-06,
2.62540381767e-06,2.495568680235e-06,2.365369552234e-06,2.234842042534e-06,
  2.104021761653e-06, 1.97294431234e-06,1.841645280163e-06,1.710160224144e-06,
  1.578524667408e-06,1.446774087881e-06,1.314943909008e-06, 1.18306949052e-06,
1.05118611924e-06,9.193289999224e-07,7.875332461527e-07,6.558338712797e-07,
  5.242657794052e-07,3.928637564229e-07,2.616624611122e-07,1.306964162862e-07,
  5.081915579618e-20,-1.303925631818e-07,-2.604472108555e-07,-3.901300513824e-07,
  -5.19407372428e-07,-6.482456494315e-07,-7.766115540046e-07,-9.044719622572e-07,
  -1.031793963049e-06,-1.158544866165e-06,-1.284692210409e-06,-1.410203771618e-06,
  -1.535047570598e-06,-1.659191880972e-06,-1.782605236935e-06,-1.905256440939e-06,
  -2.027114571265e-06,-2.148148989524e-06,-2.268329348053e-06,-2.387625597218e-06,
  -2.506007992623e-06,-2.623447102218e-06,-2.739913813309e-06,-2.855379339463e-06,
  -2.969815227317e-06,-3.083193363276e-06,-3.195485980103e-06,-3.306665663414e-06,
  -3.416705358048e-06,-3.525578374338e-06,-3.633258394266e-06,-3.739719477507e-06,
  -3.844936067354e-06,-3.948882996537e-06,-4.051535492913e-06,-4.152869185051e-06,
  -4.252860107685e-06,-4.351484707059e-06,-4.44871984614e-06,-4.544542809719e-06,
  -4.638931309379e-06,-4.731863488348e-06,-4.823317926216e-06,-4.913273643539e-06,
  -5.001710106302e-06,-5.088607230265e-06,-5.173945385178e-06,-5.25770539886e-06,
  -5.339868561158e-06,-5.420416627766e-06,-5.49933182392e-06,-5.576596847957e-06,
  -5.652194874737e-06,-5.726109558945e-06,-5.798325038243e-06,-5.868825936302e-06,
  -5.937597365687e-06,-6.004624930617e-06,-6.069894729584e-06,-6.133393357838e-06,
  -6.195107909736e-06,-6.255025980952e-06,-6.313135670555e-06,-6.369425582947e-06,
  -6.423884829665e-06,-6.476503031048e-06,-6.527270317759e-06,-6.576177332184e-06,
  -6.623215229678e-06,-6.668375679689e-06,-6.711650866728e-06,-6.753033491221e-06,
  -6.79251677021e-06,-6.830094437919e-06,-6.865760746195e-06,-6.899510464795e-06,
  -6.931338881552e-06, -6.9612418024e-06,-6.989215551258e-06,-7.015256969792e-06,
  -7.03936341703e-06,-7.061532768847e-06,-7.081763417322e-06,-7.100054269954e-06,
  -7.116404748749e-06,-7.130814789175e-06,-7.143284838985e-06,-7.153815856911e-06,
  -7.162409311226e-06,-7.169067178175e-06,-7.173791940283e-06,-7.176586584532e-06,
  -7.177454600406e-06,-7.17639997782e-06,-7.173427204916e-06,-7.168541265736e-06,
  -7.161747637773e-06, -7.1530522894e-06,-7.142461677173e-06,-7.12998274302e-06,
  -7.115622911304e-06,-7.099390085771e-06,-7.081292646381e-06,-7.061339446021e-06,
  -7.039539807102e-06,-7.015903518047e-06,-6.990440829657e-06,-6.963162451378e-06,
  -6.934079547446e-06,-6.903203732927e-06,-6.870547069656e-06,-6.836122062057e-06,
  -6.799941652866e-06,-6.762019218753e-06,-6.722368565832e-06,-6.681003925077e-06,
  -6.637939947641e-06,-6.593191700067e-06,-6.546774659414e-06,-6.498704708279e-06,
  -6.448998129728e-06,-6.397671602143e-06,-6.344742193963e-06,-6.290227358351e-06,
  -6.234144927764e-06,-6.176513108444e-06,-6.117350474819e-06,-6.056675963828e-06,
  -5.994508869159e-06,-5.930868835415e-06,-5.865775852195e-06,-5.799250248106e-06,
  -5.731312684695e-06,-5.661984150319e-06,-5.591285953931e-06,-5.51923971881e-06,
  -5.445867376216e-06,-5.371191158983e-06,-5.295233595051e-06,-5.218017500933e-06,
  -5.139565975121e-06,-5.059902391444e-06,-4.979050392358e-06,-4.897033882189e-06,
  -4.813877020324e-06,-4.729604214347e-06,-4.644240113135e-06,-4.557809599899e-06,
  -4.470337785182e-06,-4.381849999822e-06,-4.292371787866e-06,-4.201928899448e-06,
  -4.110547283628e-06,-4.018253081203e-06,-3.925072617477e-06,-3.831032395003e-06,
  -3.736159086297e-06,-3.640479526525e-06,-3.54402070616e-06,-3.446809763625e-06,
  -3.348873977902e-06,-3.250240761134e-06,-3.150937651202e-06,-3.050992304289e-06,
  -2.95043248743e-06,-2.849286071049e-06,-2.747581021489e-06,-2.645345393533e-06,
  -2.542607322918e-06,-2.439395018848e-06, -2.3357367565e-06,-2.231660869535e-06,
  -2.127195742611e-06,-2.022369803893e-06,-1.917211517577e-06,-1.811749376415e-06,
  -1.706011894257e-06,-1.600027598594e-06,-1.493825023125e-06,-1.387432700329e-06,
  -1.280879154064e-06,-1.174192892177e-06,-1.067402399136e-06,-9.605361286911e-07,
  -8.536224965476e-07,-7.466898730779e-07,-6.397665760528e-07,-5.328808634064e-07,
  -4.260609260307e-07,-3.193348806044e-07,-2.127307624563e-07,-1.062765184656e-07,
  -1.907258744106e-20, 1.06071044105e-07,2.119089745261e-07,3.174862683882e-07,
  4.227755261546e-07,5.277494784716e-07,6.323809929641e-07,7.366430809806e-07,
  8.405089042875e-07,9.439517817096e-07,1.046945195716e-06,1.149462798948e-06,
  1.251478420695e-06,1.352966073301e-06, 1.45389995852e-06,1.554254473804e-06,
  1.654004218526e-06,1.753124000144e-06,1.851588840291e-06,  1.9493739808e-06,
  2.046454889664e-06,2.142807266916e-06,2.238407050445e-06,2.333230421734e-06,
  2.427253811525e-06,2.520453905412e-06,2.612807649345e-06, 2.70429225507e-06,
2.79488520548e-06,2.884564259888e-06,2.973307459219e-06,3.061093131116e-06,
  3.147899894967e-06,3.233706666841e-06,3.318492664338e-06,3.402237411361e-06,
  3.484920742786e-06,3.566522809053e-06,3.647024080658e-06,3.726405352568e-06,
  3.804647748523e-06,3.881732725267e-06,3.957642076669e-06,4.032357937755e-06,
  4.105862788648e-06,4.178139458405e-06,4.249171128761e-06,4.318941337778e-06,
  4.387433983387e-06,4.454633326837e-06,4.520523996047e-06,4.585090988848e-06,
  4.648319676136e-06,4.710195804911e-06,4.770705501224e-06,4.829835273017e-06,
  4.887572012858e-06,4.943903000578e-06,4.998815905798e-06,5.052298790355e-06,
  5.104340110625e-06,5.154928719732e-06,5.204053869667e-06,5.251705213283e-06,
  5.297872806199e-06,5.342547108589e-06,5.385718986867e-06,5.427379715268e-06,
  5.467520977317e-06,5.506134867193e-06,5.543213890992e-06,5.578750967867e-06,
  5.612739431082e-06,5.645173028939e-06,5.676045925614e-06,5.705352701869e-06,
  5.733088355674e-06,5.759248302709e-06,5.783828376767e-06,5.806824830041e-06,
  5.828234333317e-06,5.848053976048e-06, 5.86628126633e-06,5.882914130766e-06,
  5.897950914229e-06,5.911390379518e-06,5.923231706904e-06, 5.93347449358e-06,
  5.942118752997e-06,5.949164914104e-06,5.954613820478e-06,5.958466729353e-06,
  5.960725310545e-06,5.961391645281e-06,5.960468224914e-06,5.957957949546e-06,
  5.953864126549e-06,5.948190468982e-06,5.940941093911e-06,5.932120520631e-06,
  5.921733668785e-06,5.909785856392e-06,5.896282797772e-06,5.881230601378e-06,
  5.864635767531e-06, 5.84650518606e-06,5.826846133852e-06,  5.8056662723e-06,
  5.782973644669e-06,5.758776673364e-06,5.733084157106e-06,5.705905268027e-06,
  5.677249548664e-06,5.647126908873e-06,5.615547622657e-06,5.582522324902e-06,
  5.548062008031e-06,5.512178018575e-06,5.474882053661e-06,5.436186157415e-06,
  5.396102717285e-06,5.354644460287e-06,5.311824449171e-06,5.267656078506e-06,
  5.222153070691e-06,5.175329471895e-06,5.127199647913e-06,5.077778279955e-06,
  5.027080360366e-06,4.975121188269e-06, 4.92191636514e-06, 4.86748179032e-06,
4.81183365645e-06,4.754988444853e-06,4.696962920839e-06,4.637774128956e-06,
  4.577439388174e-06,4.515976287011e-06,  4.4534026786e-06,4.389736675693e-06,
  4.324996645617e-06,4.259201205167e-06,4.192369215453e-06,4.124519776682e-06,
  4.055672222905e-06,3.985846116701e-06,3.915061243822e-06,3.843337607781e-06,
  3.770695424409e-06,3.697155116352e-06,3.622737307538e-06,3.547462817597e-06,
3.47135265624e-06,3.394428017607e-06,3.316710274567e-06,3.238220972998e-06,
  3.158981826014e-06, 3.07901470818e-06, 2.99834164968e-06,2.916984830465e-06,
2.83496657437e-06,2.752309343204e-06,2.669035730818e-06,2.585168457147e-06,
  2.500730362229e-06,2.415744400212e-06,2.330233633329e-06,2.244221225867e-06,
  2.157730438117e-06,2.070784620307e-06,1.983407206524e-06,1.895621708627e-06,
  1.807451710148e-06,1.718920860184e-06,1.630052867286e-06,1.540871493341e-06,
  1.451400547446e-06, 1.36166387979e-06,1.271685375524e-06,1.181488948644e-06,
  1.091098535861e-06,1.000538090493e-06,9.098315763483e-07,8.190029616208e-07,
  7.280762127959e-07,6.370752885626e-07, 5.46024133739e-07,  4.5494667321e-07,
  3.638668058799e-07,2.728083986396e-07, 1.81795280353e-07,9.085123585982e-08,
  -2.72514450794e-21,-9.073474834026e-08,-1.813293921606e-07,-2.71760382253e-07,
  -3.620042430836e-07,-4.520375786458e-07,-5.418370782869e-07,-6.313795225022e-07,
  -7.206417887003e-07,-8.096008569341e-07,-8.982338155977e-07,-9.865178670892e-07,
  -1.074430333435e-06,-1.161948661879e-06,-1.249050430426e-06,-1.335713353356e-06,
  -1.421915286682e-06,-1.507634233578e-06,-1.592848349752e-06,-1.677535948783e-06,
-1.7616755074e-06,-1.845245670725e-06,-1.928225257456e-06,-2.010593265008e-06,
  -2.092328874593e-06,-2.173411456258e-06,-2.253820573861e-06,-2.333535989992e-06,
  -2.412537670845e-06,-2.490805791022e-06,-2.56832073829e-06,-2.645063118267e-06,
  -2.721013759057e-06,-2.796153715817e-06,-2.870464275266e-06,-2.943926960127e-06,
  -3.016523533503e-06,-3.088236003194e-06,-3.159046625941e-06,-3.228937911605e-06,
  -3.297892627277e-06,-3.365893801322e-06,-3.432924727342e-06,-3.498968968087e-06,
  -3.564010359272e-06,-3.628033013338e-06,-3.691021323134e-06,-3.752959965521e-06,
  -3.813833904903e-06,-3.87362839669e-06,-3.932328990668e-06,-3.98992153431e-06,
  -4.046392175993e-06,-4.101727368149e-06,-4.155913870325e-06,-4.208938752177e-06,
  -4.260789396366e-06,-4.311453501393e-06,-4.36091908433e-06,-4.40917448349e-06,
  -4.456208360998e-06,-4.502009705286e-06,-4.546567833506e-06,-4.589872393853e-06,
  -4.631913367803e-06,-4.672681072277e-06, -4.7121661617e-06,-4.750359629995e-06,
  -4.787252812473e-06,-4.822837387648e-06,-4.857105378957e-06,-4.890049156401e-06,
  -4.921661438087e-06,-4.951935291697e-06,-4.98086413585e-06,-5.008441741394e-06,
  -5.034662232601e-06,-5.059520088266e-06,-5.083010142733e-06,-5.105127586819e-06,
  -5.125867968656e-06,-5.145227194436e-06,-5.163201529077e-06,-5.179787596792e-06,
  -5.19498238157e-06,-5.208783227567e-06,-5.221187839415e-06,-5.232194282426e-06,
  -5.241800982723e-06,-5.250006727272e-06,-5.256810663827e-06,-5.262212300789e-06,
  -5.26621150697e-06,-5.268808511273e-06,-5.270003902282e-06,-5.269798627765e-06,
  -5.268193994084e-06,-5.265191665523e-06,-5.260793663527e-06,-5.255002365848e-06,
  -5.247820505611e-06,-5.239251170291e-06,-5.229297800601e-06,-5.217964189297e-06,
  -5.205254479897e-06,-5.191173165311e-06,-5.175725086392e-06,-5.158915430399e-06,
  -5.140749729373e-06,-5.121233858438e-06,-5.100374034013e-06,-5.078176811938e-06,
  -5.054649085528e-06,-5.029798083539e-06,-5.00363136805e-06,-4.976156832275e-06,
  -4.947382698287e-06,-4.917317514665e-06,-4.885970154061e-06,-4.853349810698e-06,
  -4.819465997776e-06,-4.784328544817e-06,-4.747947594922e-06,-4.710333601963e-06,
  -4.671497327695e-06,-4.631449838794e-06,-4.590202503825e-06,-4.547766990142e-06,
  -4.504155260707e-06,-4.459379570848e-06,-4.413452464942e-06,-4.366386773034e-06,
  -4.318195607387e-06,-4.26889235896e-06,-4.21849069383e-06,-4.167004549542e-06,
  -4.114448131395e-06,-4.060835908671e-06,-4.006182610796e-06,-3.950503223442e-06,
  -3.893812984569e-06,-3.83612738041e-06,-3.777462141393e-06,-3.717833238011e-06,
  -3.657256876634e-06,-3.595749495266e-06,-3.533327759247e-06,-3.470008556906e-06,
  -3.405808995159e-06,-3.340746395055e-06,-3.274838287279e-06, -3.2081024076e-06,
  -3.140556692274e-06,-3.072219273403e-06,-3.003108474245e-06,-2.933242804486e-06,
  -2.862640955462e-06,-2.791321795347e-06,-2.719304364296e-06,-2.646607869547e-06,
  -2.573251680496e-06,-2.49925532372e-06,-2.424638477978e-06,-2.34942096917e-06,
  -2.273622765264e-06,-2.197263971196e-06,-2.120364823733e-06,-2.042945686312e-06,
  -1.965027043849e-06,-1.88662949752e-06,-1.807773759518e-06,-1.728480647787e-06,
  -1.648771080734e-06,-1.568666071911e-06,-1.48818672469e-06,-1.407354226908e-06,
-1.3261898455e-06,-1.244714921113e-06,-1.162950862709e-06,-1.080919142147e-06,
  -9.98641288758e-07,-9.161388839105e-07,-8.334335555594e-07,-7.505469727918e-07,
  -6.67500840364e-07,-5.843168932322e-07,-5.010168910784e-07,-4.176226128349e-07,
  -3.341558512038e-07,-2.506384071788e-07,-1.670920845656e-07,-8.353868450506e-08,
  2.001695947403e-20,8.350218955397e-08,1.669461238319e-07,2.503100670347e-07,
  3.335723133369e-07,4.167111923243e-07,4.997050744198e-07, 5.82532376298e-07,
6.65171566285e-07

祎欣祎意 · 发表于 2024-10-7 10:30:25

matlab用的是Filer Design，窗函数，Hamming，10000阶，Fs=48000，Fc=125

eric2013 · 发表于 2024-10-7 10:36:35

祎欣祎意发表于 2024-10-7 10:30
matlab用的是Filer Design，窗函数，Hamming，10000阶，Fs=48000，Fc=125

截至频率125Hz？你的测试信号是50和200Hz，这种情况，50Hz信号不会失真的

		自动登录	找回密码
密码			立即注册

[DSP] FIR滤波

浏览过的版块