arm_dct4_init_f32.c

00001 /* ----------------------------------------------------------------------
00002  * Project:      CMSIS DSP Library
00003  * Title:        arm_dct4_init_f32.c
00004  * Description:  Initialization function of DCT-4 & IDCT4 F32
00005  *
00006  * $Date:        27. January 2017
00007  * $Revision:    V.1.5.1
00008  *
00009  * Target Processor: Cortex-M cores
00010  * -------------------------------------------------------------------- */
00011 /*
00012  * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
00013  *
00014  * SPDX-License-Identifier: Apache-2.0
00015  *
00016  * Licensed under the Apache License, Version 2.0 (the License); you may
00017  * not use this file except in compliance with the License.
00018  * You may obtain a copy of the License at
00019  *
00020  * www.apache.org/licenses/LICENSE-2.0
00021  *
00022  * Unless required by applicable law or agreed to in writing, software
00023  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
00024  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
00025  * See the License for the specific language governing permissions and
00026  * limitations under the License.
00027  */
00028 
00029 #include "arm_math.h"
00030 
00031 /**
00032  * @ingroup DCT4_IDCT4
00033  */
00034 
00035 /**
00036  * @addtogroup DCT4_IDCT4_Table DCT Type IV Tables
00037  * @{
00038  */
00039 
00040 /*
00041 * @brief  Weights Table
00042 */
00043 
00044 /**
00045  * \par
00046  * Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>
00047  * \par
00048  * C command to generate the table
00049  * <pre>
00050  * for(i = 0; i< N; i++)
00051  * {
00052  *    weights[2*i]= cos(i*c);
00053  *    weights[(2*i)+1]= -sin(i * c);
00054  * } </pre>
00055  * \par
00056  * Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>
00057  * \par
00058  * In the tables below the real and imaginary values are placed alternatively, hence the
00059  * array length is <code>2*N</code>.
00060  */
00061 
00062 static const float32_t Weights_128 [256] = {
00063   1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f,
00064   -0.012271538285719925f,
00065   0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f,
00066   -0.036807222941358832f,
00067   0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f,
00068   -0.061320736302208578f,
00069   0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f,
00070   -0.085797312344439894f,
00071   0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f,
00072   -0.110222207293883060f,
00073   0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f,
00074   -0.134580708507126170f,
00075   0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f,
00076   -0.158858143333861450f,
00077   0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f,
00078   -0.183039887955140950f,
00079   0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f,
00080   -0.207111376192218560f,
00081   0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f,
00082   -0.231058108280671110f,
00083   0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f,
00084   -0.254865659604514570f,
00085   0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f,
00086   -0.278519689385053060f,
00087   0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f,
00088   -0.302005949319228080f,
00089   0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f,
00090   -0.325310292162262930f,
00091   0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f,
00092   -0.348418680249434560f,
00093   0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f,
00094   -0.371317193951837540f,
00095   0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f,
00096   -0.393992040061048100f,
00097   0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f,
00098   -0.416429560097637150f,
00099   0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f,
00100   -0.438616238538527660f,
00101   0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f,
00102   -0.460538710958240010f,
00103   0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f,
00104   -0.482183772079122720f,
00105   0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f,
00106   -0.503538383725717580f,
00107   0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f,
00108   -0.524589682678468950f,
00109   0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f,
00110   -0.545324988422046460f,
00111   0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f,
00112   -0.565731810783613120f,
00113   0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f,
00114   -0.585797857456438860f,
00115   0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f,
00116   -0.605511041404325550f,
00117   0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f,
00118   -0.624859488142386340f,
00119   0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f,
00120   -0.643831542889791390f,
00121   0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f,
00122   -0.662415777590171780f,
00123   0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f,
00124   -0.680600997795453020f,
00125   0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f,
00126   -0.698376249408972920f,
00127   0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f,
00128   -0.715730825283818590f,
00129   0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f,
00130   -0.732654271672412820f,
00131   0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f,
00132   -0.749136394523459260f,
00133   0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f,
00134   -0.765167265622458960f,
00135   0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f,
00136   -0.780737228572094380f,
00137   0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f,
00138   -0.795836904608883460f,
00139   0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f,
00140   -0.810457198252594770f,
00141   0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f,
00142   -0.824589302785025290f,
00143   0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f,
00144   -0.838224705554837970f,
00145   0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f,
00146   -0.851355193105265200f,
00147   0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f,
00148   -0.863972856121586700f,
00149   0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f,
00150   -0.876070094195406600f,
00151   0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f,
00152   -0.887639620402853930f,
00153   0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f,
00154   -0.898674465693953820f,
00155   0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f,
00156   -0.909167983090522270f,
00157   0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f,
00158   -0.919113851690057770f,
00159   0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f,
00160   -0.928506080473215480f,
00161   0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f,
00162   -0.937339011912574960f,
00163   0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f,
00164   -0.945607325380521280f,
00165   0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f,
00166   -0.953306040354193750f,
00167   0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f,
00168   -0.960430519415565790f,
00169   0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f,
00170   -0.966976471044852070f,
00171   0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f,
00172   -0.972939952205560070f,
00173   0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f,
00174   -0.978317370719627650f,
00175   0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f,
00176   -0.983105487431216290f,
00177   0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f,
00178   -0.987301418157858430f,
00179   0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f,
00180   -0.990902635427780010f,
00181   0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f,
00182   -0.993906970002356060f,
00183   0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f,
00184   -0.996312612182778000f,
00185   0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f,
00186   -0.998118112900149180f,
00187   0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f,
00188   -0.999322384588349540f,
00189   0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f,
00190   -0.999924701839144500f
00191 };
00192 
00193 static const float32_t Weights_512[1024] = {
00194   1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f,
00195   -0.003067956762965976f,
00196   0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f,
00197   -0.009203754782059819f,
00198   0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f,
00199   -0.015339206284988100f,
00200   0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f,
00201   -0.021474080275469508f,
00202   0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f,
00203   -0.027608145778965740f,
00204   0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f,
00205   -0.033741171851377580f,
00206   0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f,
00207   -0.039872927587739811f,
00208   0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f,
00209   -0.046003182130914623f,
00210   0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f,
00211   -0.052131704680283324f,
00212   0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f,
00213   -0.058258264500435752f,
00214   0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f,
00215   -0.064382630929857465f,
00216   0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f,
00217   -0.070504573389613856f,
00218   0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f,
00219   -0.076623861392031492f,
00220   0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f,
00221   -0.082740264549375692f,
00222   0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f,
00223   -0.088853552582524600f,
00224   0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f,
00225   -0.094963495329638992f,
00226   0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f,
00227   -0.101069862754827820f,
00228   0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f,
00229   -0.107172424956808840f,
00230   0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f,
00231   -0.113270952177564350f,
00232   0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f,
00233   -0.119365214810991350f,
00234   0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f,
00235   -0.125454983411546230f,
00236   0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f,
00237   -0.131540028702883120f,
00238   0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f,
00239   -0.137620121586486040f,
00240   0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f,
00241   -0.143695033150294470f,
00242   0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f,
00243   -0.149764534677321510f,
00244   0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f,
00245   -0.155828397654265230f,
00246   0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f,
00247   -0.161886393780111830f,
00248   0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f,
00249   -0.167938294974731170f,
00250   0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f,
00251   -0.173983873387463820f,
00252   0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f,
00253   -0.180022901405699510f,
00254   0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f,
00255   -0.186055151663446630f,
00256   0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f,
00257   -0.192080397049892440f,
00258   0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f,
00259   -0.198098410717953560f,
00260   0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f,
00261   -0.204108966092816870f,
00262   0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f,
00263   -0.210111836880469610f,
00264   0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f,
00265   -0.216106797076219520f,
00266   0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f,
00267   -0.222093620973203510f,
00268   0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f,
00269   -0.228072083170885730f,
00270   0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f,
00271   -0.234041958583543430f,
00272   0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f,
00273   -0.240003022448741500f,
00274   0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f,
00275   -0.245955050335794590f,
00276   0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f,
00277   -0.251897818154216970f,
00278   0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f,
00279   -0.257831102162158990f,
00280   0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f,
00281   -0.263754678974831350f,
00282   0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f,
00283   -0.269668325572915090f,
00284   0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f,
00285   -0.275571819310958140f,
00286   0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f,
00287   -0.281464937925757940f,
00288   0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f,
00289   -0.287347459544729510f,
00290   0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f,
00291   -0.293219162694258630f,
00292   0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f,
00293   -0.299079826308040480f,
00294   0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f,
00295   -0.304929229735402370f,
00296   0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f,
00297   -0.310767152749611470f,
00298   0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f,
00299   -0.316593375556165850f,
00300   0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f,
00301   -0.322407678801069850f,
00302   0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f,
00303   -0.328209843579092500f,
00304   0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f,
00305   -0.333999651442009380f,
00306   0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f,
00307   -0.339776884406826850f,
00308   0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f,
00309   -0.345541324963989090f,
00310   0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f,
00311   -0.351292756085567090f,
00312   0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f,
00313   -0.357030961233429980f,
00314   0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f,
00315   -0.362755724367397230f,
00316   0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f,
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00592   0.342660717311994380f, -0.939459223602189920f, 0.339776884406826960f,
00593   -0.940506070593268300f,
00594   0.336889853392220050f, -0.941544065183020810f, 0.333999651442009490f,
00595   -0.942573197601446870f,
00596   0.331106305759876430f, -0.943593458161960390f, 0.328209843579092660f,
00597   -0.944604837261480260f,
00598   0.325310292162262980f, -0.945607325380521280f, 0.322407678801070020f,
00599   -0.946600913083283530f,
00600   0.319502030816015750f, -0.947585591017741090f, 0.316593375556165850f,
00601   -0.948561349915730270f,
00602   0.313681740398891570f, -0.949528180593036670f, 0.310767152749611470f,
00603   -0.950486073949481700f,
00604   0.307849640041534980f, -0.951435020969008340f, 0.304929229735402430f,
00605   -0.952375012719765880f,
00606   0.302005949319228200f, -0.953306040354193750f, 0.299079826308040480f,
00607   -0.954228095109105670f,
00608   0.296150888243623960f, -0.955141168305770670f, 0.293219162694258680f,
00609   -0.956045251349996410f,
00610   0.290284677254462330f, -0.956940335732208940f, 0.287347459544729570f,
00611   -0.957826413027532910f,
00612   0.284407537211271820f, -0.958703474895871600f, 0.281464937925758050f,
00613   -0.959571513081984520f,
00614   0.278519689385053060f, -0.960430519415565790f, 0.275571819310958250f,
00615   -0.961280485811320640f,
00616   0.272621355449948980f, -0.962121404269041580f, 0.269668325572915200f,
00617   -0.962953266873683880f,
00618   0.266712757474898420f, -0.963776065795439840f, 0.263754678974831510f,
00619   -0.964589793289812650f,
00620   0.260794117915275570f, -0.965394441697689400f, 0.257831102162158930f,
00621   -0.966190003445412620f,
00622   0.254865659604514630f, -0.966976471044852070f, 0.251897818154216910f,
00623   -0.967753837093475510f,
00624   0.248927605745720260f, -0.968522094274417270f, 0.245955050335794590f,
00625   -0.969281235356548530f,
00626   0.242980179903263980f, -0.970031253194543970f, 0.240003022448741500f,
00627   -0.970772140728950350f,
00628   0.237023605994367340f, -0.971503890986251780f, 0.234041958583543460f,
00629   -0.972226497078936270f,
00630   0.231058108280671280f, -0.972939952205560070f, 0.228072083170885790f,
00631   -0.973644249650811870f,
00632   0.225083911359792780f, -0.974339382785575860f, 0.222093620973203590f,
00633   -0.975025345066994120f,
00634   0.219101240156869770f, -0.975702130038528570f, 0.216106797076219600f,
00635   -0.976369731330021140f,
00636   0.213110319916091360f, -0.977028142657754390f, 0.210111836880469720f,
00637   -0.977677357824509930f,
00638   0.207111376192218560f, -0.978317370719627650f, 0.204108966092817010f,
00639   -0.978948175319062200f,
00640   0.201104634842091960f, -0.979569765685440520f, 0.198098410717953730f,
00641   -0.980182135968117320f,
00642   0.195090322016128330f, -0.980785280403230430f, 0.192080397049892380f,
00643   -0.981379193313754560f,
00644   0.189068664149806280f, -0.981963869109555240f, 0.186055151663446630f,
00645   -0.982539302287441240f,
00646   0.183039887955141060f, -0.983105487431216290f, 0.180022901405699510f,
00647   -0.983662419211730250f,
00648   0.177004220412148860f, -0.984210092386929030f, 0.173983873387463850f,
00649   -0.984748501801904210f,
00650   0.170961888760301360f, -0.985277642388941220f, 0.167938294974731230f,
00651   -0.985797509167567370f,
00652   0.164913120489970090f, -0.986308097244598670f, 0.161886393780111910f,
00653   -0.986809401814185420f,
00654   0.158858143333861390f, -0.987301418157858430f, 0.155828397654265320f,
00655   -0.987784141644572180f,
00656   0.152797185258443410f, -0.988257567730749460f, 0.149764534677321620f,
00657   -0.988721691960323780f,
00658   0.146730474455361750f, -0.989176509964781010f, 0.143695033150294580f,
00659   -0.989622017463200780f,
00660   0.140658239332849240f, -0.990058210262297120f, 0.137620121586486180f,
00661   -0.990485084256456980f,
00662   0.134580708507126220f, -0.990902635427780010f, 0.131540028702883280f,
00663   -0.991310859846115440f,
00664   0.128498110793793220f, -0.991709753669099530f, 0.125454983411546210f,
00665   -0.992099313142191800f,
00666   0.122410675199216280f, -0.992479534598709970f, 0.119365214810991350f,
00667   -0.992850414459865100f,
00668   0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f,
00669   -0.993564135520595300f,
00670   0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f,
00671   -0.994240449453187900f,
00672   0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f,
00673   -0.994879330794805620f,
00674   0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f,
00675   -0.995480755491926940f,
00676   0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f,
00677   -0.996044700901251970f,
00678   0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f,
00679   -0.996571145790554840f,
00680   0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f,
00681   -0.997060070339482960f,
00682   0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f,
00683   -0.997511456140303450f,
00684   0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f,
00685   -0.997925286198596000f,
00686   0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f,
00687   -0.998301544933892890f,
00688   0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f,
00689   -0.998640218180265270f,
00690   0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f,
00691   -0.998941293186856870f,
00692   0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f,
00693   -0.999204758618363890f,
00694   0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f,
00695   -0.999430604555461730f,
00696   0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f,
00697   -0.999618822495178640f,
00698   0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f,
00699   -0.999769405351215280f,
00700   0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f,
00701   -0.999882347454212560f,
00702   0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f,
00703   -0.999957644551963900f,
00704   0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f,
00705   -0.999995293809576190f
00706 };
00707 
00708 static const float32_t Weights_2048[4096] = {
00709   1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f,
00710   -0.000766990318742704f,
00711   0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f,
00712   -0.002300969151425805f,
00713   0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f,
00714   -0.003834942569706228f,
00715   0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f,
00716   -0.005368906963996343f,
00717   0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f,
00718   -0.006902858724729756f,
00719   0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f,
00720   -0.008436794242369799f,
00721   0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f,
00722   -0.009970709907418031f,
00723   0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f,
00724   -0.011504602110422714f,
00725   0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f,
00726   -0.013038467241987334f,
00727   0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f,
00728   -0.014572301692779064f,
00729   0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f,
00730   -0.016106101853537287f,
00731   0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f,
00732   -0.017639864115082053f,
00733   0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f,
00734   -0.019173584868322623f,
00735   0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f,
00736   -0.020707260504265895f,
00737   0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f,
00738   -0.022240887414024961f,
00739   0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f,
00740   -0.023774461988827555f,
00741   0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f,
00742   -0.025307980620024571f,
00743   0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f,
00744   -0.026841439699098531f,
00745   0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f,
00746   -0.028374835617672099f,
00747   0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f,
00748   -0.029908164767516555f,
00749   0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f,
00750   -0.031441423540560301f,
00751   0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f,
00752   -0.032974608328897335f,
00753   0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f,
00754   -0.034507715524795750f,
00755   0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f,
00756   -0.036040741520706229f,
00757   0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f,
00758   -0.037573682709270494f,
00759   0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f,
00760   -0.039106535483329888f,
00761   0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f,
00762   -0.040639296235933736f,
00763   0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f,
00764   -0.042171961360347947f,
00765   0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f,
00766   -0.043704527250063421f,
00767   0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f,
00768   -0.045236990298804590f,
00769   0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f,
00770   -0.046769346900537863f,
00771   0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f,
00772   -0.048301593449480144f,
00773   0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f,
00774   -0.049833726340107277f,
00775   0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f,
00776   -0.051365741967162593f,
00777   0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f,
00778   -0.052897636725665324f,
00779   0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f,
00780   -0.054429407010919133f,
00781   0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f,
00782   -0.055961049218520569f,
00783   0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f,
00784   -0.057492559744367566f,
00785   0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f,
00786   -0.059023934984667931f,
00787   0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f,
00788   -0.060555171335947788f,
00789   0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f,
00790   -0.062086265195060088f,
00791   0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f,
00792   -0.063617212959193106f,
00793   0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f,
00794   -0.065148011025878833f,
00795   0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f,
00796   -0.066678655793001557f,
00797   0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f,
00798   -0.068209143658806329f,
00799   0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f,
00800   -0.069739471021907307f,
00801   0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f,
00802   -0.071269634281296401f,
00803   0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f,
00804   -0.072799629836351673f,
00805   0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f,
00806   -0.074329454086845756f,
00807   0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f,
00808   -0.075859103432954447f,
00809   0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f,
00810   -0.077388574275265049f,
00811   0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f,
00812   -0.078917863014784942f,
00813   0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f,
00814   -0.080446966052950014f,
00815   0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f,
00816   -0.081975879791633066f,
00817   0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f,
00818   -0.083504600633152432f,
00819   0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f,
00820   -0.085033124980280275f,
00821   0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f,
00822   -0.086561449236251170f,
00823   0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f,
00824   -0.088089569804770507f,
00825   0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f,
00826   -0.089617483090022959f,
00827   0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f,
00828   -0.091145185496681005f,
00829   0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f,
00830   -0.092672673429913310f,
00831   0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f,
00832   -0.094199943295393204f,
00833   0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f,
00834   -0.095726991499307162f,
00835   0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f,
00836   -0.097253814448363271f,
00837   0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f,
00838   -0.098780408549799623f,
00839   0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f,
00840   -0.100306770211392860f,
00841   0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f,
00842   -0.101832895841466530f,
00843   0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f,
00844   -0.103358781848899610f,
00845   0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f,
00846   -0.104884424643134970f,
00847   0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f,
00848   -0.106409820634187680f,
00849   0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f,
00850   -0.107934966232653650f,
00851   0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f,
00852   -0.109459857849717980f,
00853   0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f,
00854   -0.110984491897163390f,
00855   0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f,
00856   -0.112508864787378690f,
00857   0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f,
00858   -0.114032972933367200f,
00859   0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f,
00860   -0.115556812748755260f,
00861   0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f,
00862   -0.117080380647800590f,
00863   0.993032350197851410f, -0.117842061508324980f, 0.992941674389860470f,
00864   -0.118603673045400720f,
00865   0.992850414459865100f, -0.119365214810991350f, 0.992758570461551140f,
00866   -0.120126686357101500f,
00867   0.992666142448948020f, -0.120888087235777080f, 0.992573130476428810f,
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02516   -0.982964808441396440f,
02517   0.183039887955141060f, -0.983105487431216290f, 0.182285801725153320f,
02518   -0.983245588085407070f,
02519   0.181531608261125130f, -0.983385110321551180f, 0.180777308006728670f,
02520   -0.983524054057571260f,
02521   0.180022901405699510f, -0.983662419211730250f, 0.179268388901835880f,
02522   -0.983800205702631490f,
02523   0.178513770938997590f, -0.983937413449218920f, 0.177759047961107140f,
02524   -0.984074042370776450f,
02525   0.177004220412148860f, -0.984210092386929030f, 0.176249288736167940f,
02526   -0.984345563417641900f,
02527   0.175494253377271400f, -0.984480455383220930f, 0.174739114779627310f,
02528   -0.984614768204312600f,
02529   0.173983873387463850f, -0.984748501801904210f, 0.173228529645070490f,
02530   -0.984881656097323700f,
02531   0.172473083996796030f, -0.985014231012239840f, 0.171717536887049970f,
02532   -0.985146226468662230f,
02533   0.170961888760301360f, -0.985277642388941220f, 0.170206140061078120f,
02534   -0.985408478695768420f,
02535   0.169450291233967930f, -0.985538735312176060f, 0.168694342723617440f,
02536   -0.985668412161537550f,
02537   0.167938294974731230f, -0.985797509167567370f, 0.167182148432072880f,
02538   -0.985926026254321130f,
02539   0.166425903540464220f, -0.986053963346195440f, 0.165669560744784140f,
02540   -0.986181320367928270f,
02541   0.164913120489970090f, -0.986308097244598670f, 0.164156583221015890f,
02542   -0.986434293901627070f,
02543   0.163399949382973230f, -0.986559910264775410f, 0.162643219420950450f,
02544   -0.986684946260146690f,
02545   0.161886393780111910f, -0.986809401814185420f, 0.161129472905678780f,
02546   -0.986933276853677710f,
02547   0.160372457242928400f, -0.987056571305750970f, 0.159615347237193090f,
02548   -0.987179285097874340f,
02549   0.158858143333861390f, -0.987301418157858430f, 0.158100845978377090f,
02550   -0.987422970413855410f,
02551   0.157343455616238280f, -0.987543941794359230f, 0.156585972692998590f,
02552   -0.987664332228205710f,
02553   0.155828397654265320f, -0.987784141644572180f, 0.155070730945700510f,
02554   -0.987903369972977790f,
02555   0.154312973013020240f, -0.988022017143283530f, 0.153555124301993500f,
02556   -0.988140083085692570f,
02557   0.152797185258443410f, -0.988257567730749460f, 0.152039156328246160f,
02558   -0.988374471009341280f,
02559   0.151281037957330250f, -0.988490792852696590f, 0.150522830591677370f,
02560   -0.988606533192386450f,
02561   0.149764534677321620f, -0.988721691960323780f, 0.149006150660348470f,
02562   -0.988836269088763540f,
02563   0.148247678986896200f, -0.988950264510302990f, 0.147489120103153680f,
02564   -0.989063678157881540f,
02565   0.146730474455361750f, -0.989176509964781010f, 0.145971742489812370f,
02566   -0.989288759864625170f,
02567   0.145212924652847520f, -0.989400427791380380f, 0.144454021390860440f,
02568   -0.989511513679355190f,
02569   0.143695033150294580f, -0.989622017463200780f, 0.142935960377642700f,
02570   -0.989731939077910570f,
02571   0.142176803519448000f, -0.989841278458820530f, 0.141417563022303130f,
02572   -0.989950035541608990f,
02573   0.140658239332849240f, -0.990058210262297120f, 0.139898832897777380f,
02574   -0.990165802557248400f,
02575   0.139139344163826280f, -0.990272812363169110f, 0.138379773577783890f,
02576   -0.990379239617108160f,
02577   0.137620121586486180f, -0.990485084256456980f, 0.136860388636816430f,
02578   -0.990590346218950150f,
02579   0.136100575175706200f, -0.990695025442664630f, 0.135340681650134330f,
02580   -0.990799121866020370f,
02581   0.134580708507126220f, -0.990902635427780010f, 0.133820656193754690f,
02582   -0.991005566067049370f,
02583   0.133060525157139180f, -0.991107913723276780f, 0.132300315844444680f,
02584   -0.991209678336254060f,
02585   0.131540028702883280f, -0.991310859846115440f, 0.130779664179711790f,
02586   -0.991411458193338540f,
02587   0.130019222722233350f, -0.991511473318743900f, 0.129258704777796270f,
02588   -0.991610905163495370f,
02589   0.128498110793793220f, -0.991709753669099530f, 0.127737441217662280f,
02590   -0.991808018777406430f,
02591   0.126976696496885980f, -0.991905700430609330f, 0.126215877078990400f,
02592   -0.992002798571244520f,
02593   0.125454983411546210f, -0.992099313142191800f, 0.124694015942167770f,
02594   -0.992195244086673920f,
02595   0.123932975118512200f, -0.992290591348257370f, 0.123171861388280650f,
02596   -0.992385354870851670f,
02597   0.122410675199216280f, -0.992479534598709970f, 0.121649416999105540f,
02598   -0.992573130476428810f,
02599   0.120888087235777220f, -0.992666142448948020f, 0.120126686357101580f,
02600   -0.992758570461551140f,
02601   0.119365214810991350f, -0.992850414459865100f, 0.118603673045400840f,
02602   -0.992941674389860470f,
02603   0.117842061508325020f, -0.993032350197851410f, 0.117080380647800550f,
02604   -0.993122441830495580f,
02605   0.116318630911904880f, -0.993211949234794500f, 0.115556812748755290f,
02606   -0.993300872358093280f,
02607   0.114794926606510250f, -0.993389211148080650f, 0.114032972933367300f,
02608   -0.993476965552789190f,
02609   0.113270952177564360f, -0.993564135520595300f, 0.112508864787378830f,
02610   -0.993650721000219120f,
02611   0.111746711211126660f, -0.993736721940724600f, 0.110984491897163380f,
02612   -0.993822138291519660f,
02613   0.110222207293883180f, -0.993906970002356060f, 0.109459857849718030f,
02614   -0.993991217023329380f,
02615   0.108697444013138670f, -0.994074879304879370f, 0.107934966232653760f,
02616   -0.994157956797789730f,
02617   0.107172424956808870f, -0.994240449453187900f, 0.106409820634187840f,
02618   -0.994322357222545810f,
02619   0.105647153713410700f, -0.994403680057679100f, 0.104884424643134970f,
02620   -0.994484417910747600f,
02621   0.104121633872054730f, -0.994564570734255420f, 0.103358781848899700f,
02622   -0.994644138481050710f,
02623   0.102595869022436280f, -0.994723121104325700f, 0.101832895841466670f,
02624   -0.994801518557617110f,
02625   0.101069862754827880f, -0.994879330794805620f, 0.100306770211392820f,
02626   -0.994956557770116380f,
02627   0.099543618660069444f, -0.995033199438118630f, 0.098780408549799664f,
02628   -0.995109255753726110f,
02629   0.098017140329560770f, -0.995184726672196820f, 0.097253814448363354f,
02630   -0.995259612149133390f,
02631   0.096490431355252607f, -0.995333912140482280f, 0.095726991499307315f,
02632   -0.995407626602534900f,
02633   0.094963495329639061f, -0.995480755491926940f, 0.094199943295393190f,
02634   -0.995553298765638470f,
02635   0.093436335845747912f, -0.995625256380994310f, 0.092672673429913366f,
02636   -0.995696628295663520f,
02637   0.091908956497132696f, -0.995767414467659820f, 0.091145185496681130f,
02638   -0.995837614855341610f,
02639   0.090381360877865011f, -0.995907229417411720f, 0.089617483090022917f,
02640   -0.995976258112917790f,
02641   0.088853552582524684f, -0.996044700901251970f, 0.088089569804770507f,
02642   -0.996112557742151130f,
02643   0.087325535206192226f, -0.996179828595696870f, 0.086561449236251239f,
02644   -0.996246513422315520f,
02645   0.085797312344439880f, -0.996312612182778000f, 0.085033124980280414f,
02646   -0.996378124838200210f,
02647   0.084268887593324127f, -0.996443051350042630f, 0.083504600633152404f,
02648   -0.996507391680110820f,
02649   0.082740264549375803f, -0.996571145790554840f, 0.081975879791633108f,
02650   -0.996634313643869900f,
02651   0.081211446809592386f, -0.996696895202896060f, 0.080446966052950097f,
02652   -0.996758890430818000f,
02653   0.079682437971430126f, -0.996820299291165670f, 0.078917863014785095f,
02654   -0.996881121747813850f,
02655   0.078153241632794315f, -0.996941357764982160f, 0.077388574275265049f,
02656   -0.997001007307235290f,
02657   0.076623861392031617f, -0.997060070339482960f, 0.075859103432954503f,
02658   -0.997118546826979980f,
02659   0.075094300847921291f, -0.997176436735326190f, 0.074329454086845867f,
02660   -0.997233740030466160f,
02661   0.073564563599667454f, -0.997290456678690210f, 0.072799629836351618f,
02662   -0.997346586646633230f,
02663   0.072034653246889416f, -0.997402129901275300f, 0.071269634281296415f,
02664   -0.997457086409941910f,
02665   0.070504573389614009f, -0.997511456140303450f, 0.069739471021907376f,
02666   -0.997565239060375750f,
02667   0.068974327628266732f, -0.997618435138519550f, 0.068209143658806454f,
02668   -0.997671044343441000f,
02669   0.067443919563664106f, -0.997723066644191640f, 0.066678655793001543f,
02670   -0.997774502010167820f,
02671   0.065913352797003930f, -0.997825350411111640f, 0.065148011025878860f,
02672   -0.997875611817110150f,
02673   0.064382630929857410f, -0.997925286198596000f, 0.063617212959193190f,
02674   -0.997974373526346990f,
02675   0.062851757564161420f, -0.998022873771486240f, 0.062086265195060247f,
02676   -0.998070786905482340f,
02677   0.061320736302208648f, -0.998118112900149180f, 0.060555171335947781f,
02678   -0.998164851727646240f,
02679   0.059789570746640007f, -0.998211003360478190f, 0.059023934984667986f,
02680   -0.998256567771495180f,
02681   0.058258264500435732f, -0.998301544933892890f, 0.057492559744367684f,
02682   -0.998345934821212370f,
02683   0.056726821166907783f, -0.998389737407340160f, 0.055961049218520520f,
02684   -0.998432952666508440f,
02685   0.055195244349690031f, -0.998475580573294770f, 0.054429407010919147f,
02686   -0.998517621102622210f,
02687   0.053663537652730679f, -0.998559074229759310f, 0.052897636725665401f,
02688   -0.998599939930320370f,
02689   0.052131704680283317f, -0.998640218180265270f, 0.051365741967162731f,
02690   -0.998679908955899090f,
02691   0.050599749036899337f, -0.998719012233872940f, 0.049833726340107257f,
02692   -0.998757527991183340f,
02693   0.049067674327418126f, -0.998795456205172410f, 0.048301593449480172f,
02694   -0.998832796853527990f,
02695   0.047535484156959261f, -0.998869549914283560f, 0.046769346900537960f,
02696   -0.998905715365818290f,
02697   0.046003182130914644f, -0.998941293186856870f, 0.045236990298804750f,
02698   -0.998976283356469820f,
02699   0.044470771854938744f, -0.999010685854073380f, 0.043704527250063421f,
02700   -0.999044500659429290f,
02701   0.042938256934940959f, -0.999077727752645360f, 0.042171961360348002f,
02702   -0.999110367114174890f,
02703   0.041405640977076712f, -0.999142418724816910f, 0.040639296235933854f,
02704   -0.999173882565716380f,
02705   0.039872927587739845f, -0.999204758618363890f, 0.039106535483329839f,
02706   -0.999235046864595850f,
02707   0.038340120373552791f, -0.999264747286594420f, 0.037573682709270514f,
02708   -0.999293859866887790f,
02709   0.036807222941358991f, -0.999322384588349540f, 0.036040741520706299f,
02710   -0.999350321434199440f,
02711   0.035274238898213947f, -0.999377670388002850f, 0.034507715524795889f,
02712   -0.999404431433671300f,
02713   0.033741171851377642f, -0.999430604555461730f, 0.032974608328897315f,
02714   -0.999456189737977340f,
02715   0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f,
02716   -0.999505596225325310f,
02717   0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f,
02718   -0.999552650779456990f,
02719   0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f,
02720   -0.999597353289648380f,
02721   0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f,
02722   -0.999639703650710200f,
02723   0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f,
02724   -0.999679701762987930f,
02725   0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f,
02726   -0.999717347532362190f,
02727   0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f,
02728   -0.999752640870248840f,
02729   0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f,
02730   -0.999785581693599210f,
02731   0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f,
02732   -0.999816169924900410f,
02733   0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f,
02734   -0.999844405492175240f,
02735   0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f,
02736   -0.999870288328982950f,
02737   0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f,
02738   -0.999893818374418490f,
02739   0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f,
02740   -0.999914995573113470f,
02741   0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f,
02742   -0.999933819875236000f,
02743   0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f,
02744   -0.999950291236490480f,
02745   0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f,
02746   -0.999964409618118280f,
02747   0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f,
02748   -0.999976174986897610f,
02749   0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f,
02750   -0.999985587315143200f,
02751   0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f,
02752   -0.999992646580707190f,
02753   0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f,
02754   -0.999997352766978210f,
02755   0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f,
02756   -0.999999705862882230f
02757 };
02758 
02759 static const float32_t Weights_8192[16384] = {
02760   1.000000000000000000f, -0.000000000000000000f, 0.999999981616429330f,
02761     -0.000191747597310703f,
02762   0.999999926465717890f, -0.000383495187571396f, 0.999999834547867670f,
02763     -0.000575242763732066f,
02764   0.999999705862882230f, -0.000766990318742704f, 0.999999540410766110f,
02765     -0.000958737845553301f,
02766   0.999999338191525530f, -0.001150485337113849f, 0.999999099205167830f,
02767     -0.001342232786374338f,
02768   0.999998823451701880f, -0.001533980186284766f, 0.999998510931137790f,
02769     -0.001725727529795126f,
02770   0.999998161643486980f, -0.001917474809855419f, 0.999997775588762350f,
02771     -0.002109222019415644f,
02772   0.999997352766978210f, -0.002300969151425805f, 0.999996893178149880f,
02773     -0.002492716198835908f,
02774   0.999996396822294350f, -0.002684463154595962f, 0.999995863699429940f,
02775     -0.002876210011655979f,
02776   0.999995293809576190f, -0.003067956762965976f, 0.999994687152754080f,
02777     -0.003259703401475973f,
02778   0.999994043728985820f, -0.003451449920135994f, 0.999993363538295150f,
02779     -0.003643196311896068f,
02780   0.999992646580707190f, -0.003834942569706228f, 0.999991892856248010f,
02781     -0.004026688686516512f,
02782   0.999991102364945590f, -0.004218434655276963f, 0.999990275106828920f,
02783     -0.004410180468937631f,
02784   0.999989411081928400f, -0.004601926120448571f, 0.999988510290275690f,
02785     -0.004793671602759841f,
02786   0.999987572731904080f, -0.004985416908821511f, 0.999986598406848000f,
02787     -0.005177162031583651f,
02788   0.999985587315143200f, -0.005368906963996343f, 0.999984539456826970f,
02789     -0.005560651699009674f,
02790   0.999983454831937730f, -0.005752396229573736f, 0.999982333440515350f,
02791     -0.005944140548638633f,
02792   0.999981175282601110f, -0.006135884649154475f, 0.999979980358237650f,
02793     -0.006327628524071378f,
02794   0.999978748667468830f, -0.006519372166339468f, 0.999977480210339940f,
02795     -0.006711115568908879f,
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10752   0.038340120373552791f, -0.999264747286594420f, 0.038148513054354856f,
10753     -0.999272080542502610f,
10754   0.037956904332545366f, -0.999279377058032710f, 0.037765294215169005f,
10755     -0.999286636832916740f,
10756   0.037573682709270514f, -0.999293859866887790f, 0.037382069821895340f,
10757     -0.999301046159680070f,
10758   0.037190455560088091f, -0.999308195711029470f, 0.036998839930894332f,
10759     -0.999315308520673070f,
10760   0.036807222941358991f, -0.999322384588349540f, 0.036615604598527057f,
10761     -0.999329423913798420f,
10762   0.036423984909444228f, -0.999336426496761240f, 0.036232363881155374f,
10763     -0.999343392336980220f,
10764   0.036040741520706299f, -0.999350321434199440f, 0.035849117835142184f,
10765     -0.999357213788164000f,
10766   0.035657492831508264f, -0.999364069398620550f, 0.035465866516850478f,
10767     -0.999370888265317060f,
10768   0.035274238898213947f, -0.999377670388002850f, 0.035082609982644702f,
10769     -0.999384415766428560f,
10770   0.034890979777187955f, -0.999391124400346050f, 0.034699348288889847f,
10771     -0.999397796289508640f,
10772   0.034507715524795889f, -0.999404431433671300f, 0.034316081491951658f,
10773     -0.999411029832589780f,
10774   0.034124446197403423f, -0.999417591486021720f, 0.033932809648196623f,
10775     -0.999424116393725640f,
10776   0.033741171851377642f, -0.999430604555461730f, 0.033549532813992221f,
10777     -0.999437055970991530f,
10778   0.033357892543086159f, -0.999443470640077770f, 0.033166251045705968f,
10779     -0.999449848562484530f,
10780   0.032974608328897315f, -0.999456189737977340f, 0.032782964399706793f,
10781     -0.999462494166323160f,
10782   0.032591319265180385f, -0.999468761847290050f, 0.032399672932364114f,
10783     -0.999474992780647780f,
10784   0.032208025408304704f, -0.999481186966166950f, 0.032016376700048046f,
10785     -0.999487344403620080f,
10786   0.031824726814640963f, -0.999493465092780590f, 0.031633075759129645f,
10787     -0.999499549033423640f,
10788   0.031441423540560343f, -0.999505596225325310f, 0.031249770165979990f,
10789     -0.999511606668263440f,
10790   0.031058115642434700f, -0.999517580362016990f, 0.030866459976971503f,
10791     -0.999523517306366350f,
10792   0.030674803176636581f, -0.999529417501093140f, 0.030483145248477058f,
10793     -0.999535280945980540f,
10794   0.030291486199539423f, -0.999541107640812940f, 0.030099826036870208f,
10795     -0.999546897585375960f,
10796   0.029908164767516655f, -0.999552650779456990f, 0.029716502398525156f,
10797     -0.999558367222844300f,
10798   0.029524838936943035f, -0.999564046915327740f, 0.029333174389816984f,
10799     -0.999569689856698580f,
10800   0.029141508764193740f, -0.999575296046749220f, 0.028949842067120746f,
10801     -0.999580865485273700f,
10802   0.028758174305644590f, -0.999586398172067070f, 0.028566505486812797f,
10803     -0.999591894106925950f,
10804   0.028374835617672258f, -0.999597353289648380f, 0.028183164705269902f,
10805     -0.999602775720033530f,
10806   0.027991492756653365f, -0.999608161397882110f, 0.027799819778869434f,
10807     -0.999613510322995950f,
10808   0.027608145778965820f, -0.999618822495178640f, 0.027416470763989606f,
10809     -0.999624097914234570f,
10810   0.027224794740987910f, -0.999629336579970110f, 0.027033117717008563f,
10811     -0.999634538492192300f,
10812   0.026841439699098527f, -0.999639703650710200f, 0.026649760694305708f,
10813     -0.999644832055333610f,
10814   0.026458080709677145f, -0.999649923705874240f, 0.026266399752260809f,
10815     -0.999654978602144690f,
10816   0.026074717829104040f, -0.999659996743959220f, 0.025883034947254208f,
10817     -0.999664978131133310f,
10818   0.025691351113759395f, -0.999669922763483760f, 0.025499666335666818f,
10819     -0.999674830640828740f,
10820   0.025307980620024630f, -0.999679701762987930f, 0.025116293973880335f,
10821     -0.999684536129782140f,
10822   0.024924606404281485f, -0.999689333741033640f, 0.024732917918276334f,
10823     -0.999694094596566000f,
10824   0.024541228522912264f, -0.999698818696204250f, 0.024349538225237600f,
10825     -0.999703506039774650f,
10826   0.024157847032300020f, -0.999708156627104880f, 0.023966154951147241f,
10827     -0.999712770458023870f,
10828   0.023774461988827676f, -0.999717347532362190f, 0.023582768152388880f,
10829     -0.999721887849951310f,
10830   0.023391073448879338f, -0.999726391410624470f, 0.023199377885346890f,
10831     -0.999730858214216030f,
10832   0.023007681468839410f, -0.999735288260561680f, 0.022815984206405477f,
10833     -0.999739681549498660f,
10834   0.022624286105092803f, -0.999744038080865430f, 0.022432587171950024f,
10835     -0.999748357854501780f,
10836   0.022240887414024919f, -0.999752640870248840f, 0.022049186838366180f,
10837     -0.999756887127949080f,
10838   0.021857485452021874f, -0.999761096627446610f, 0.021665783262040089f,
10839     -0.999765269368586450f,
10840   0.021474080275469605f, -0.999769405351215280f, 0.021282376499358355f,
10841     -0.999773504575180990f,
10842   0.021090671940755180f, -0.999777567040332940f, 0.020898966606708289f,
10843     -0.999781592746521670f,
10844   0.020707260504265912f, -0.999785581693599210f, 0.020515553640476986f,
10845     -0.999789533881418780f,
10846   0.020323846022389572f, -0.999793449309835270f, 0.020132137657052664f,
10847     -0.999797327978704690f,
10848   0.019940428551514598f, -0.999801169887884260f, 0.019748718712823757f,
10849     -0.999804975037232870f,
10850   0.019557008148029204f, -0.999808743426610520f, 0.019365296864179146f,
10851     -0.999812475055878780f,
10852   0.019173584868322699f, -0.999816169924900410f, 0.018981872167508348f,
10853     -0.999819828033539420f,
10854   0.018790158768784596f, -0.999823449381661570f, 0.018598444679200642f,
10855     -0.999827033969133420f,
10856   0.018406729905804820f, -0.999830581795823400f, 0.018215014455646376f,
10857     -0.999834092861600960f,
10858   0.018023298335773701f, -0.999837567166337090f, 0.017831581553236088f,
10859     -0.999841004709904000f,
10860   0.017639864115082195f, -0.999844405492175240f, 0.017448146028360704f,
10861     -0.999847769513025900f,
10862   0.017256427300120978f, -0.999851096772332190f, 0.017064707937411529f,
10863     -0.999854387269971890f,
10864   0.016872987947281773f, -0.999857641005823860f, 0.016681267336780482f,
10865     -0.999860857979768540f,
10866   0.016489546112956454f, -0.999864038191687680f, 0.016297824282859176f,
10867     -0.999867181641464380f,
10868   0.016106101853537263f, -0.999870288328982950f, 0.015914378832040249f,
10869     -0.999873358254129260f,
10870   0.015722655225417017f, -0.999876391416790410f, 0.015530931040716478f,
10871     -0.999879387816854930f,
10872   0.015339206284988220f, -0.999882347454212560f, 0.015147480965280975f,
10873     -0.999885270328754520f,
10874   0.014955755088644378f, -0.999888156440373320f, 0.014764028662127416f,
10875     -0.999891005788962950f,
10876   0.014572301692779104f, -0.999893818374418490f, 0.014380574187649138f,
10877     -0.999896594196636680f,
10878   0.014188846153786343f, -0.999899333255515390f, 0.013997117598240459f,
10879     -0.999902035550953920f,
10880   0.013805388528060349f, -0.999904701082852900f, 0.013613658950295789f,
10881     -0.999907329851114300f,
10882   0.013421928871995907f, -0.999909921855641540f, 0.013230198300209845f,
10883     -0.999912477096339240f,
10884   0.013038467241987433f, -0.999914995573113470f, 0.012846735704377631f,
10885     -0.999917477285871770f,
10886   0.012655003694430301f, -0.999919922234522750f, 0.012463271219194662f,
10887     -0.999922330418976490f,
10888   0.012271538285719944f, -0.999924701839144500f, 0.012079804901056066f,
10889     -0.999927036494939640f,
10890   0.011888071072252072f, -0.999929334386276070f, 0.011696336806357907f,
10891     -0.999931595513069200f,
10892   0.011504602110422875f, -0.999933819875236000f, 0.011312866991496287f,
10893     -0.999936007472694620f,
10894   0.011121131456628141f, -0.999938158305364590f, 0.010929395512867561f,
10895     -0.999940272373166960f,
10896   0.010737659167264572f, -0.999942349676023910f, 0.010545922426868548f,
10897     -0.999944390213859060f,
10898   0.010354185298728884f, -0.999946393986597460f, 0.010162447789895645f,
10899     -0.999948360994165400f,
10900   0.009970709907418029f, -0.999950291236490480f, 0.009778971658346134f,
10901     -0.999952184713501780f,
10902   0.009587233049729183f, -0.999954041425129780f, 0.009395494088617302f,
10903     -0.999955861371306100f,
10904   0.009203754782059960f, -0.999957644551963900f, 0.009012015137106642f,
10905     -0.999959390967037450f,
10906   0.008820275160807512f, -0.999961100616462820f, 0.008628534860211857f,
10907     -0.999962773500176930f,
10908   0.008436794242369860f, -0.999964409618118280f, 0.008245053314331058f,
10909     -0.999966008970226920f,
10910   0.008053312083144991f, -0.999967571556443780f, 0.007861570555861883f,
10911     -0.999969097376711580f,
10912   0.007669828739531077f, -0.999970586430974140f, 0.007478086641202815f,
10913     -0.999972038719176730f,
10914   0.007286344267926684f, -0.999973454241265940f, 0.007094601626752279f,
10915     -0.999974832997189810f,
10916   0.006902858724729877f, -0.999976174986897610f, 0.006711115568908869f,
10917     -0.999977480210339940f,
10918   0.006519372166339549f, -0.999978748667468830f, 0.006327628524071549f,
10919     -0.999979980358237650f,
10920   0.006135884649154515f, -0.999981175282601110f, 0.005944140548638765f,
10921     -0.999982333440515350f,
10922   0.005752396229573737f, -0.999983454831937730f, 0.005560651699009764f,
10923     -0.999984539456826970f,
10924   0.005368906963996303f, -0.999985587315143200f, 0.005177162031583702f,
10925     -0.999986598406848000f,
10926   0.004985416908821652f, -0.999987572731904080f, 0.004793671602759852f,
10927     -0.999988510290275690f,
10928   0.004601926120448672f, -0.999989411081928400f, 0.004410180468937601f,
10929     -0.999990275106828920f,
10930   0.004218434655277024f, -0.999991102364945590f, 0.004026688686516664f,
10931     -0.999991892856248010f,
10932   0.003834942569706248f, -0.999992646580707190f, 0.003643196311896179f,
10933     -0.999993363538295150f,
10934   0.003451449920135975f, -0.999994043728985820f, 0.003259703401476044f,
10935     -0.999994687152754080f,
10936   0.003067956762966138f, -0.999995293809576190f, 0.002876210011656010f,
10937     -0.999995863699429940f,
10938   0.002684463154596083f, -0.999996396822294350f, 0.002492716198835898f,
10939     -0.999996893178149880f,
10940   0.002300969151425887f, -0.999997352766978210f, 0.002109222019415816f,
10941     -0.999997775588762350f,
10942   0.001917474809855460f, -0.999998161643486980f, 0.001725727529795258f,
10943     -0.999998510931137790f,
10944   0.001533980186284766f, -0.999998823451701880f, 0.001342232786374430f,
10945     -0.999999099205167830f,
10946   0.001150485337113809f, -0.999999338191525530f, 0.000958737845553352f,
10947     -0.999999540410766110f,
10948   0.000766990318742846f, -0.999999705862882230f, 0.000575242763732077f,
10949     -0.999999834547867670f,
10950   0.000383495187571497f, -0.999999926465717890f, 0.000191747597310674f,
10951     -0.999999981616429330f
10952 };
10953 
10954 /**
10955 * \par
10956 * cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>
10957 * \par
10958 * C command to generate the table
10959 * \par
10960 * <pre> for(i = 0; i< N; i++)
10961 * {
10962 *    cos_factors[i]= 2 * cos((2*i+1)*c/2);
10963 * } </pre>
10964 * \par
10965 * where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>
10966 */
10967 static const float32_t cos_factors_128 [128] = {
10968   0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
10969   0.999077727752645360f,
10970   0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
10971   0.995767414467659820f,
10972   0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
10973   0.990058210262297120f,
10974   0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
10975   0.981963869109555240f,
10976   0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
10977   0.971503890986251780f,
10978   0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
10979   0.958703474895871600f,
10980   0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
10981   0.943593458161960390f,
10982   0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
10983   0.926210242138311380f,
10984   0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
10985   0.906595704514915330f,
10986   0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
10987   0.884797098430937790f,
10988   0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
10989   0.860866938637767310f,
10990   0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
10991   0.834862874986380010f,
10992   0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
10993   0.806847553543799330f,
10994   0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
10995   0.776888465673232440f,
10996   0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
10997   0.745057785441466060f,
10998   0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
10999   0.711432195745216430f,
11000   0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
11001   0.676092703575316030f,
11002   0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
11003   0.639124444863775730f,
11004   0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
11005   0.600616479383868970f,
11006   0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
11007   0.560661576197336030f,
11008   0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
11009   0.519355990165589530f,
11010   0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
11011   0.476799230063322250f,
11012   0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
11013   0.433093818853152010f,
11014   0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
11015   0.388345046698826300f,
11016   0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
11017   0.342660717311994380f,
11018   0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
11019   0.296150888243623960f,
11020   0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
11021   0.248927605745720260f,
11022   0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
11023   0.201104634842091960f,
11024   0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
11025   0.152797185258443410f,
11026   0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
11027   0.104121633872054730f,
11028   0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
11029   0.055195244349690031f,
11030   0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
11031   0.006135884649154515f
11032 };
11033 
11034 static const float32_t cos_factors_512[512] = {
11035   0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
11036   0.999942349676023910f,
11037   0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
11038   0.999735288260561680f,
11039   0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
11040   0.999377670388002850f,
11041   0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
11042   0.998869549914283560f,
11043   0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
11044   0.998211003360478190f,
11045   0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
11046   0.997402129901275300f,
11047   0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
11048   0.996443051350042630f,
11049   0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
11050   0.995333912140482280f,
11051   0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
11052   0.994074879304879370f,
11053   0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
11054   0.992666142448948020f,
11055   0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
11056   0.991107913723276890f,
11057   0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
11058   0.989400427791380380f,
11059   0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
11060   0.987543941794359230f,
11061   0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
11062   0.985538735312176060f,
11063   0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
11064   0.983385110321551180f,
11065   0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
11066   0.981083391150486710f,
11067   0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
11068   0.978633924429423210f,
11069   0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
11070   0.976037079039039020f,
11071   0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
11072   0.973293246054698250f,
11073   0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
11074   0.970402838687555500f,
11075   0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
11076   0.967366292222328510f,
11077   0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
11078   0.964184063951745830f,
11079   0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
11080   0.960856633107679660f,
11081   0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
11082   0.957384500788975860f,
11083   0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
11084   0.953768189885990330f,
11085   0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
11086   0.950008245001843000f,
11087   0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
11088   0.946105232370403450f,
11089   0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
11090   0.942059739771017310f,
11091   0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
11092   0.937872376439989890f,
11093   0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
11094   0.933543772978836170f,
11095   0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
11096   0.929074581259315860f,
11097   0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
11098   0.924465474325262600f,
11099   0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
11100   0.919717146291227360f,
11101   0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
11102   0.914830312237946200f,
11103   0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
11104   0.909805708104652220f,
11105   0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
11106   0.904644090578246240f,
11107   0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
11108   0.899346236979341570f,
11109   0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
11110   0.893912945145203250f,
11111   0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
11112   0.888345033309596350f,
11113   0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
11114   0.882643339979562790f,
11115   0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
11116   0.876808723809145650f,
11117   0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
11118   0.870842063470078980f,
11119   0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
11120   0.864744257519462380f,
11121   0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
11122   0.858516224264442740f,
11123   0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
11124   0.852158901623919830f,
11125   0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
11126   0.845673246987299070f,
11127   0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
11128   0.839060237070312740f,
11129   0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
11130   0.832320867767929680f,
11131   0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
11132   0.825456154004377550f,
11133   0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
11134   0.818467129580298660f,
11135   0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
11136   0.811354847017063730f,
11137   0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
11138   0.804120377398265810f,
11139   0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
11140   0.796764810208418830f,
11141   0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
11142   0.789289253168885650f,
11143   0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
11144   0.781694832071059390f,
11145   0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
11146   0.773982690606822900f,
11147   0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
11148   0.766153990196312920f,
11149   0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
11150   0.758209909813015280f,
11151   0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
11152   0.750151645806215070f,
11153   0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
11154   0.741980411720831070f,
11155   0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
11156   0.733697438114660370f,
11157   0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
11158   0.725303972373060770f,
11159   0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
11160   0.716801278521099540f,
11161   0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
11162   0.708190637033195400f,
11163   0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
11164   0.699473344640283770f,
11165   0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f,
11166   0.690650714134534720f,
11167   0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
11168   0.681724074171649820f,
11169   0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
11170   0.672694769070772970f,
11171   0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
11172   0.663564158612039880f,
11173   0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
11174   0.654333617831800550f,
11175   0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
11176   0.645004536815544040f,
11177   0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
11178   0.635578320488556230f,
11179   0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
11180   0.626056388404343520f,
11181   0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
11182   0.616440174530853650f,
11183   0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
11184   0.606731127034524480f,
11185   0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f,
11186   0.596930708062196500f,
11187   0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f,
11188   0.587040393520918080f,
11189   0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f,
11190   0.577061672855679550f,
11191   0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
11192   0.566996048825108680f,
11193   0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
11194   0.556845037275160100f,
11195   0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
11196   0.546610166910834860f,
11197   0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
11198   0.536292979065963180f,
11199   0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
11200   0.525895027471084740f,
11201   0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f,
11202   0.515417878019463150f,
11203   0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f,
11204   0.504863108531267480f,
11205   0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
11206   0.494232308515959730f,
11207   0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
11208   0.483527078932918740f,
11209   0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
11210   0.472749031950342900f,
11211   0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
11212   0.461899790702462840f,
11213   0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
11214   0.450980989045103810f,
11215   0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
11216   0.439994271309633260f,
11217   0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
11218   0.428941292055329550f,
11219   0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
11220   0.417823715820212380f,
11221   0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
11222   0.406643216870369140f,
11223   0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
11224   0.395401478947816300f,
11225   0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
11226   0.384100195016935040f,
11227   0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
11228   0.372741067009515810f,
11229   0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
11230   0.361325805568454340f,
11231   0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f,
11232   0.349856129790135030f,
11233   0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
11234   0.338333766965541290f,
11235   0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
11236   0.326760452320131790f,
11237   0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
11238   0.315137928752522440f,
11239   0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
11240   0.303467946572011370f,
11241   0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
11242   0.291752263234989370f,
11243   0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
11244   0.279992643080273380f,
11245   0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
11246   0.268190857063403180f,
11247   0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
11248   0.256348682489942910f,
11249   0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
11250   0.244467902747824210f,
11251   0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
11252   0.232550307038775330f,
11253   0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
11254   0.220597690108873650f,
11255   0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
11256   0.208611851978263460f,
11257   0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
11258   0.196594597670080220f,
11259   0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
11260   0.184547736938619640f,
11261   0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
11262   0.172473083996796030f,
11263   0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
11264   0.160372457242928400f,
11265   0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
11266   0.148247678986896200f,
11267   0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
11268   0.136100575175706200f,
11269   0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
11270   0.123932975118512200f,
11271   0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
11272   0.111746711211126660f,
11273   0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
11274   0.099543618660069444f,
11275   0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
11276   0.087325535206192226f,
11277   0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
11278   0.075094300847921291f,
11279   0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
11280   0.062851757564161420f,
11281   0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
11282   0.050599749036899337f,
11283   0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
11284   0.038340120373552791f,
11285   0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
11286   0.026074717829104040f,
11287   0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
11288   0.013805388528060349f,
11289   0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
11290   0.001533980186284766f
11291 };
11292 
11293 static const float32_t cos_factors_2048[2048] = {
11294   0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
11295   0.999996396822294350f,
11296   0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
11297   0.999983454831937730f,
11298   0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
11299   0.999961100616462820f,
11300   0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
11301   0.999929334386276070f,
11302   0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
11303   0.999888156440373320f,
11304   0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
11305   0.999837567166337090f,
11306   0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
11307   0.999777567040332940f,
11308   0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
11309   0.999708156627104880f,
11310   0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
11311   0.999629336579970110f,
11312   0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
11313   0.999541107640812940f,
11314   0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
11315   0.999443470640077770f,
11316   0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
11317   0.999336426496761240f,
11318   0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
11319   0.999219976218403530f,
11320   0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
11321   0.999094120901079070f,
11322   0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
11323   0.998958861729386080f,
11324   0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
11325   0.998814199976435390f,
11326   0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
11327   0.998660137003838490f,
11328   0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
11329   0.998496674261694640f,
11330   0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
11331   0.998323813288577560f,
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12182   0.206736180958843660f, 0.205985699334098050f, 0.205235096533272380f,
12183   0.204484372997927180f,
12184   0.203733529169694010f, 0.202982565490274460f, 0.202231482401441620f,
12185   0.201480280345037820f,
12186   0.200728959762976140f, 0.199977521097239290f, 0.199225964789878890f,
12187   0.198474291283016360f,
12188   0.197722501018842030f, 0.196970594439614370f, 0.196218571987660850f,
12189   0.195466434105377090f,
12190   0.194714181235225990f, 0.193961813819739010f, 0.193209332301514080f,
12191   0.192456737123216840f,
12192   0.191704028727579940f, 0.190951207557401860f, 0.190198274055548120f,
12193   0.189445228664950340f,
12194   0.188692071828605260f, 0.187938803989575850f, 0.187185425590990440f,
12195   0.186431937076041640f,
12196   0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f,
12197   0.183416890718739230f,
12198   0.182662858272129360f, 0.181908718369666160f, 0.181154471454990920f,
12199   0.180400117971807270f,
12200   0.179645658363882100f, 0.178891093075044830f, 0.178136422549186320f,
12201   0.177381647230260200f,
12202   0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f,
12203   0.174361506905093830f,
12204   0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f,
12205   0.171339725423019260f,
12206   0.170584026954463700f, 0.169828228135719880f, 0.169072329411405180f,
12207   0.168316331226194910f,
12208   0.167560234024823590f, 0.166804038252083870f, 0.166047744352825850f,
12209   0.165291352771957970f,
12210   0.164534863954446110f, 0.163778278345312690f, 0.163021596389637810f,
12211   0.162264818532558110f,
12212   0.161507945219266150f, 0.160750976895011390f, 0.159993914005098350f,
12213   0.159236756994887850f,
12214   0.158479506309796100f, 0.157722162395293690f, 0.156964725696906750f,
12215   0.156207196660216040f,
12216   0.155449575730855880f, 0.154691863354515400f, 0.153934059976937460f,
12217   0.153176166043917870f,
12218   0.152418182001306500f, 0.151660108295005400f, 0.150901945370970040f,
12219   0.150143693675208330f,
12220   0.149385353653779810f, 0.148626925752796540f, 0.147868410418422360f,
12221   0.147109808096871850f,
12222   0.146351119234411440f, 0.145592344277358450f, 0.144833483672080240f,
12223   0.144074537864995330f,
12224   0.143315507302571590f, 0.142556392431327340f, 0.141797193697830530f,
12225   0.141037911548697770f,
12226   0.140278546430595420f, 0.139519098790238600f, 0.138759569074390380f,
12227   0.137999957729862760f,
12228   0.137240265203515700f, 0.136480491942256310f, 0.135720638393040080f,
12229   0.134960705002868830f,
12230   0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f,
12231   0.131920181974319760f,
12232   0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f,
12233   0.128878417262776660f,
12234   0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f,
12235   0.125835439498487020f,
12236   0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f,
12237   0.122791277323116900f,
12238   0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f,
12239   0.119745959389479630f,
12240   0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f,
12241   0.116699514361267840f,
12242   0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f,
12243   0.113651970912781920f,
12244   0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f,
12245   0.110603357728661910f,
12246   0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
12247   0.107553703503615710f,
12248   0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f,
12249   0.104503036942150550f,
12250   0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f,
12251   0.101451386758302160f,
12252   0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f,
12253   0.098398781675363881f,
12254   0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f,
12255   0.095345250425617742f,
12256   0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f,
12257   0.092290821750062355f,
12258   0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f,
12259   0.089235524398144139f,
12260   0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f,
12261   0.086179387127484922f,
12262   0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f,
12263   0.083122438703613077f,
12264   0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
12265   0.080064707899690932f,
12266   0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
12267   0.077006223496245585f,
12268   0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
12269   0.073947014280897269f,
12270   0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
12271   0.070887109048087787f,
12272   0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
12273   0.067826536598810966f,
12274   0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
12275   0.064765325740339871f,
12276   0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
12277   0.061703505285957416f,
12278   0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
12279   0.058641104054683348f,
12280   0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
12281   0.055578150871004817f,
12282   0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
12283   0.052514674564603257f,
12284   0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
12285   0.049450703970084824f,
12286   0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
12287   0.046386267926707213f,
12288   0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
12289   0.043321395278109784f,
12290   0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
12291   0.040256114872041358f,
12292   0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
12293   0.037190455560088091f,
12294   0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
12295   0.034124446197403423f,
12296   0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
12297   0.031058115642434700f,
12298   0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
12299   0.027991492756653365f,
12300   0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
12301   0.024924606404281485f,
12302   0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
12303   0.021857485452021874f,
12304   0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
12305   0.018790158768784596f,
12306   0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
12307   0.015722655225417017f,
12308   0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
12309   0.012655003694430301f,
12310   0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
12311   0.009587233049729183f,
12312   0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
12313   0.006519372166339549f,
12314   0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
12315   0.003451449920135975f,
12316   0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
12317   0.000383495187571497f
12318 };
12319 
12320 static const float32_t cos_factors_8192[8192] = {
12321   1.999999990808214700f, 1.999999917273932200f, 1.999999770205369800f,
12322     1.999999549602533100f,
12323   1.999999255465430200f, 1.999998887794072000f, 1.999998446588471700f,
12324     1.999997931848645600f,
12325   1.999997343574612800f, 1.999996681766395000f, 1.999995946424016200f,
12326     1.999995137547503600f,
12327   1.999994255136887000f, 1.999993299192198700f, 1.999992269713474200f,
12328     1.999991166700750800f,
12329   1.999989990154069600f, 1.999988740073473500f, 1.999987416459008600f,
12330     1.999986019310723500f,
12331   1.999984548628669600f, 1.999983004412901000f, 1.999981386663474400f,
12332     1.999979695380449400f,
12333   1.999977930563888100f, 1.999976092213855400f, 1.999974180330418700f,
12334     1.999972194913648900f,
12335   1.999970135963618400f, 1.999968003480403000f, 1.999965797464081200f,
12336     1.999963517914734100f,
12337   1.999961164832445800f, 1.999958738217302300f, 1.999956238069392900f,
12338     1.999953664388809800f,
12339   1.999951017175647600f, 1.999948296430003500f, 1.999945502151977600f,
12340     1.999942634341672600f,
12341   1.999939692999193900f, 1.999936678124649700f, 1.999933589718150700f,
12342     1.999930427779810900f,
12343   1.999927192309745900f, 1.999923883308075200f, 1.999920500774920300f,
12344     1.999917044710405500f,
12345   1.999913515114657900f, 1.999909911987807200f, 1.999906235329986100f,
12346     1.999902485141329400f,
12347   1.999898661421975400f, 1.999894764172064600f, 1.999890793391740000f,
12348     1.999886749081147800f,
12349   1.999882631240436700f, 1.999878439869758200f, 1.999874174969266300f,
12350     1.999869836539117700f,
12351   1.999865424579472000f, 1.999860939090491600f, 1.999856380072341000f,
12352     1.999851747525188200f,
12353   1.999847041449203300f, 1.999842261844559700f, 1.999837408711432600f,
12354     1.999832482050000900f,
12355   1.999827481860445300f, 1.999822408142949900f, 1.999817260897701400f,
12356     1.999812040124888700f,
12357   1.999806745824704000f, 1.999801377997341800f, 1.999795936642999600f,
12358     1.999790421761877400f,
12359   1.999784833354177900f, 1.999779171420106700f, 1.999773435959872000f,
12360     1.999767626973684400f,
12361   1.999761744461757700f, 1.999755788424308200f, 1.999749758861554900f,
12362     1.999743655773719400f,
12363   1.999737479161026100f, 1.999731229023702200f, 1.999724905361977200f,
12364     1.999718508176084000f,
12365   1.999712037466257600f, 1.999705493232735800f, 1.999698875475759600f,
12366     1.999692184195571900f,
12367   1.999685419392419000f, 1.999678581066549400f, 1.999671669218214600f,
12368     1.999664683847668800f,
12369   1.999657624955168700f, 1.999650492540973900f, 1.999643286605346800f,
12370     1.999636007148552400f,
12371   1.999628654170857900f, 1.999621227672533800f, 1.999613727653853500f,
12372     1.999606154115092500f,
12373   1.999598507056529000f, 1.999590786478444600f, 1.999582992381123000f,
12374     1.999575124764850800f,
12375   1.999567183629917100f, 1.999559168976613900f, 1.999551080805236100f,
12376     1.999542919116081000f,
12377   1.999534683909448600f, 1.999526375185641800f, 1.999517992944965800f,
12378     1.999509537187729200f,
12379   1.999501007914242600f, 1.999492405124819700f, 1.999483728819776900f,
12380     1.999474978999432800f,
12381   1.999466155664109600f, 1.999457258814131500f, 1.999448288449825500f,
12382     1.999439244571521700f,
12383   1.999430127179552500f, 1.999420936274252800f, 1.999411671855960900f,
12384     1.999402333925017300f,
12385   1.999392922481765500f, 1.999383437526551300f, 1.999373879059723500f,
12386     1.999364247081633500f,
12387   1.999354541592635500f, 1.999344762593086500f, 1.999334910083345700f,
12388     1.999324984063775700f,
12389   1.999314984534741100f, 1.999304911496609700f, 1.999294764949752100f,
12390     1.999284544894541100f,
12391   1.999274251331352400f, 1.999263884260564600f, 1.999253443682558900f,
12392     1.999242929597719200f,
12393   1.999232342006432000f, 1.999221680909086400f, 1.999210946306074500f,
12394     1.999200138197791100f,
12395   1.999189256584633600f, 1.999178301467001900f, 1.999167272845298900f,
12396     1.999156170719930100f,
12397   1.999144995091303600f, 1.999133745959830600f, 1.999122423325924200f,
12398     1.999111027190001000f,
12399   1.999099557552479900f, 1.999088014413782800f, 1.999076397774334000f,
12400     1.999064707634560700f,
12401   1.999052943994892300f, 1.999041106855761900f, 1.999029196217604100f,
12402     1.999017212080857400f,
12403   1.999005154445962200f, 1.998993023313361700f, 1.998980818683502100f,
12404     1.998968540556831800f,
12405   1.998956188933802800f, 1.998943763814868800f, 1.998931265200486900f,
12406     1.998918693091116200f,
12407   1.998906047487219600f, 1.998893328389261400f, 1.998880535797709700f,
12408     1.998867669713034500f,
12409   1.998854730135709400f, 1.998841717066209400f, 1.998828630505013400f,
12410     1.998815470452602400f,
12411   1.998802236909460500f, 1.998788929876074100f, 1.998775549352932400f,
12412     1.998762095340527400f,
12413   1.998748567839354000f, 1.998734966849909000f, 1.998721292372693100f,
12414     1.998707544408208700f,
12415   1.998693722956961500f, 1.998679828019459300f, 1.998665859596213500f,
12416     1.998651817687737300f,
12417   1.998637702294547000f, 1.998623513417161700f, 1.998609251056103100f,
12418     1.998594915211895600f,
12419   1.998580505885066100f, 1.998566023076144600f, 1.998551466785663400f,
12420     1.998536837014157900f,
12421   1.998522133762165900f, 1.998507357030227900f, 1.998492506818887200f,
12422     1.998477583128690100f,
12423   1.998462585960185000f, 1.998447515313923400f, 1.998432371190459500f,
12424     1.998417153590349900f,
12425   1.998401862514154200f, 1.998386497962434800f, 1.998371059935756300f,
12426     1.998355548434686400f,
12427   1.998339963459795400f, 1.998324305011656600f, 1.998308573090845200f,
12428     1.998292767697940100f,
12429   1.998276888833522300f, 1.998260936498175400f, 1.998244910692486000f,
12430     1.998228811417043700f,
12431   1.998212638672439900f, 1.998196392459269400f, 1.998180072778129600f,
12432     1.998163679629620500f,
12433   1.998147213014344900f, 1.998130672932908000f, 1.998114059385918400f,
12434     1.998097372373986300f,
12435   1.998080611897725700f, 1.998063777957752600f, 1.998046870554686100f,
12436     1.998029889689147700f,
12437   1.998012835361761900f, 1.997995707573155600f, 1.997978506323958600f,
12438     1.997961231614803200f,
12439   1.997943883446324800f, 1.997926461819161000f, 1.997908966733952500f,
12440     1.997891398191342400f,
12441   1.997873756191977000f, 1.997856040736504500f, 1.997838251825576400f,
12442     1.997820389459846700f,
12443   1.997802453639972300f, 1.997784444366612600f, 1.997766361640429800f,
12444     1.997748205462088500f,
12445   1.997729975832256600f, 1.997711672751604200f, 1.997693296220804000f,
12446     1.997674846240532000f,
12447   1.997656322811466500f, 1.997637725934288300f, 1.997619055609681600f,
12448     1.997600311838332500f,
12449   1.997581494620930300f, 1.997562603958166600f, 1.997543639850736200f,
12450     1.997524602299336500f,
12451   1.997505491304667000f, 1.997486306867430900f, 1.997467048988333000f,
12452     1.997447717668082000f,
12453   1.997428312907388200f, 1.997408834706965000f, 1.997389283067528800f,
12454     1.997369657989798400f,
12455   1.997349959474495200f, 1.997330187522343700f, 1.997310342134070800f,
12456     1.997290423310406100f,
12457   1.997270431052081900f, 1.997250365359833200f, 1.997230226234397900f,
12458     1.997210013676516700f,
12459   1.997189727686932400f, 1.997169368266390900f, 1.997148935415640600f,
12460     1.997128429135433400f,
12461   1.997107849426522600f, 1.997087196289665000f, 1.997066469725620200f,
12462     1.997045669735150000f,
12463   1.997024796319019300f, 1.997003849477995600f, 1.996982829212848900f,
12464     1.996961735524351900f,
12465   1.996940568413280600f, 1.996919327880412900f, 1.996898013926530000f,
12466     1.996876626552415400f,
12467   1.996855165758855600f, 1.996833631546639300f, 1.996812023916558800f,
12468     1.996790342869408000f,
12469   1.996768588405984300f, 1.996746760527087700f, 1.996724859233520500f,
12470     1.996702884526087900f,
12471   1.996680836405598100f, 1.996658714872861800f, 1.996636519928692000f,
12472     1.996614251573904900f,
12473   1.996591909809319400f, 1.996569494635756600f, 1.996547006054041100f,
12474     1.996524444064999400f,
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12760     1.971627211038601500f,
12761   1.971562807509189800f, 1.971498331491049700f, 1.971433782986551400f,
12762     1.971369161998068400f,
12763   1.971304468527976800f, 1.971239702578655000f, 1.971174864152484400f,
12764     1.971109953251848600f,
12765   1.971044969879134600f, 1.970979914036731500f, 1.970914785727030800f,
12766     1.970849584952427900f,
12767   1.970784311715319400f, 1.970718966018105500f, 1.970653547863188600f,
12768     1.970588057252973900f,
12769   1.970522494189869800f, 1.970456858676286300f, 1.970391150714636800f,
12770     1.970325370307337100f,
12771   1.970259517456806100f, 1.970193592165464700f, 1.970127594435737000f,
12772     1.970061524270049400f,
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12774     1.969796519296324300f,
12775   1.969730086987328900f, 1.969663582256988600f, 1.969597005107748900f,
12776     1.969530355542057800f,
12777   1.969463633562365400f, 1.969396839171125200f, 1.969329972370792700f,
12778     1.969263033163826800f,
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12780     1.968994552318890300f,
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12782     1.968724913165188900f,
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12784     1.968454115861344000f,
12785   1.968386235593076300f, 1.968318282952873600f, 1.968250257943234200f,
12786     1.968182160566659000f,
12787   1.968113990825652200f, 1.968045748722719900f, 1.967977434260371300f,
12788     1.967909047441118100f,
12789   1.967840588267474500f, 1.967772056741957900f, 1.967703452867087800f,
12790     1.967634776645386600f,
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12792     1.967359348340810700f,
12793   1.967290310422882700f, 1.967221200173313400f, 1.967152017594644200f,
12794     1.967082762689418500f,
12795   1.967013435460182700f, 1.966944035909485600f, 1.966874564039879300f,
12796     1.966805019853917500f,
12797   1.966735403354157500f, 1.966665714543159000f, 1.966595953423483800f,
12798     1.966526119997697100f,
12799   1.966456214268366600f, 1.966386236238062200f, 1.966316185909357200f,
12800     1.966246063284826700f,
12801   1.966175868367049400f, 1.966105601158605600f, 1.966035261662079300f,
12802     1.965964849880056600f,
12803   1.965894365815126000f, 1.965823809469879400f, 1.965753180846910900f,
12804     1.965682479948817100f,
12805   1.965611706778197700f, 1.965540861337654600f, 1.965469943629792700f,
12806     1.965398953657219600f,
12807   1.965327891422544900f, 1.965256756928382100f, 1.965185550177345900f,
12808     1.965114271172054800f,
12809   1.965042919915129400f, 1.964971496409193100f, 1.964900000656872000f,
12810     1.964828432660794500f,
12811   1.964756792423592200f, 1.964685079947899200f, 1.964613295236352000f,
12812     1.964541438291590000f,
12813   1.964469509116255000f, 1.964397507712991800f, 1.964325434084447600f,
12814     1.964253288233272400f,
12815   1.964181070162119000f, 1.964108779873642100f, 1.964036417370500300f,
12816     1.963963982655353400f,
12817   1.963891475730865400f, 1.963818896599701400f, 1.963746245264530700f,
12818     1.963673521728023900f,
12819   1.963600725992855200f, 1.963527858061700600f, 1.963454917937239800f,
12820     1.963381905622154400f,
12821   1.963308821119128700f, 1.963235664430850200f, 1.963162435560008100f,
12822     1.963089134509295300f,
12823   1.963015761281406800f, 1.962942315879040000f, 1.962868798304895400f,
12824     1.962795208561676200f,
12825   1.962721546652088200f, 1.962647812578839400f, 1.962574006344640900f,
12826     1.962500127952206300f,
12827   1.962426177404252200f, 1.962352154703497200f, 1.962278059852663000f,
12828     1.962203892854473800f,
12829   1.962129653711656800f, 1.962055342426941400f, 1.961980959003059500f,
12830     1.961906503442746300f,
12831   1.961831975748739200f, 1.961757375923778700f, 1.961682703970607100f,
12832     1.961607959891970200f,
12833   1.961533143690616000f, 1.961458255369295400f, 1.961383294930761700f,
12834     1.961308262377770900f,
12835   1.961233157713082200f, 1.961157980939456400f, 1.961082732059657800f,
12836     1.961007411076453000f,
12837   1.960932017992611500f, 1.960856552810905200f, 1.960781015534108800f,
12838     1.960705406164999300f,
12839   1.960629724706357100f, 1.960553971160964500f, 1.960478145531606700f,
12840     1.960402247821071900f,
12841   1.960326278032150200f, 1.960250236167635100f, 1.960174122230322400f,
12842     1.960097936223010400f,
12843   1.960021678148500500f, 1.959945348009596500f, 1.959868945809104500f,
12844     1.959792471549834000f,
12845   1.959715925234596600f, 1.959639306866206600f, 1.959562616447480900f,
12846     1.959485853981239600f,
12847   1.959409019470304700f, 1.959332112917501400f, 1.959255134325657000f,
12848     1.959178083697602300f,
12849   1.959100961036169800f, 1.959023766344195200f, 1.958946499624516700f,
12850     1.958869160879975500f,
12851   1.958791750113414700f, 1.958714267327680500f, 1.958636712525621900f,
12852     1.958559085710090500f,
12853   1.958481386883940100f, 1.958403616050027600f, 1.958325773211212300f,
12854     1.958247858370356400f,
12855   1.958169871530324600f, 1.958091812693984400f, 1.958013681864205500f,
12856     1.957935479043860600f,
12857   1.957857204235825100f, 1.957778857442976900f, 1.957700438668196700f,
12858     1.957621947914367500f,
12859   1.957543385184375300f, 1.957464750481108700f, 1.957386043807458800f,
12860     1.957307265166319500f,
12861   1.957228414560587200f, 1.957149491993160900f, 1.957070497466942400f,
12862     1.956991430984836400f,
12863   1.956912292549749500f, 1.956833082164591600f, 1.956753799832275300f,
12864     1.956674445555715000f,
12865   1.956595019337829000f, 1.956515521181537000f, 1.956435951089762200f,
12866     1.956356309065430100f,
12867   1.956276595111468900f, 1.956196809230809500f, 1.956116951426385600f,
12868     1.956037021701132900f,
12869   1.955957020057990500f, 1.955876946499899700f, 1.955796801029804800f,
12870     1.955716583650652000f,
12871   1.955636294365391300f, 1.955555933176974300f, 1.955475500088355900f,
12872     1.955394995102493100f,
12873   1.955314418222346100f, 1.955233769450877200f, 1.955153048791052000f,
12874     1.955072256245838000f,
12875   1.954991391818206000f, 1.954910455511129000f, 1.954829447327582900f,
12876     1.954748367270545900f,
12877   1.954667215342999600f, 1.954585991547927100f, 1.954504695888315000f,
12878     1.954423328367152600f,
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12880     1.954097139726869600f,
12881   1.954015412942881900f, 1.953933614315333200f, 1.953851743847231100f,
12882     1.953769801541585400f,
12883   1.953687787401409400f, 1.953605701429718100f, 1.953523543629529700f,
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12888     1.952780891644753500f,
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12890     1.952448957211872200f,
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12894     1.951781642815800100f,
12895   1.951697905557590700f, 1.951614096541028500f, 1.951530215769194700f,
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12898     1.951109735688987900f,
12899   1.951025424450382900f, 1.950941041478150100f, 1.950856586775392200f,
12900     1.950772060345214300f,
12901   1.950687462190724200f, 1.950602792315032200f, 1.950518050721251600f,
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12904     1.950093267090159800f,
12905   1.950008095253369200f, 1.949922851720355100f, 1.949837536494251700f,
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12910     1.949066473788747300f,
12911   1.948980441804710300f, 1.948894338162233900f, 1.948808162864483600f,
12912     1.948721915914628100f,
12913   1.948635597315838200f, 1.948549207071288000f, 1.948462745184153400f,
12914     1.948376211657613500f,
12915   1.948289606494849800f, 1.948202929699046800f, 1.948116181273391100f,
12916     1.948029361221072400f,
12917   1.947942469545282500f, 1.947855506249216700f, 1.947768471336071700f,
12918     1.947681364809048100f,
12919   1.947594186671348000f, 1.947506936926177300f, 1.947419615576743600f,
12920     1.947332222626257500f,
12921   1.947244758077932200f, 1.947157221934983500f, 1.947069614200629900f,
12922     1.946981934878092300f,
12923   1.946894183970594900f, 1.946806361481363500f, 1.946718467413627300f,
12924     1.946630501770618000f,
12925   1.946542464555569800f, 1.946454355771719300f, 1.946366175422306500f,
12926     1.946277923510573200f,
12927   1.946189600039764300f, 1.946101205013127000f, 1.946012738433911600f,
12928     1.945924200305370700f,
12929   1.945835590630759400f, 1.945746909413335900f, 1.945658156656360700f,
12930     1.945569332363096700f,
12931   1.945480436536810100f, 1.945391469180769200f, 1.945302430298244900f,
12932     1.945213319892511200f,
12933   1.945124137966844200f, 1.945034884524523100f, 1.944945559568829200f,
12934     1.944856163103046800f,
12935   1.944766695130463000f, 1.944677155654366900f, 1.944587544678050900f,
12936     1.944497862204809900f,
12937   1.944408108237940700f, 1.944318282780743900f, 1.944228385836521700f,
12938     1.944138417408579400f,
12939   1.944048377500225100f, 1.943958266114769200f, 1.943868083255524800f,
12940     1.943777828925807600f,
12941   1.943687503128936200f, 1.943597105868231500f, 1.943506637147017300f,
12942     1.943416096968619400f,
12943   1.943325485336367300f, 1.943234802253592400f, 1.943144047723628400f,
12944     1.943053221749812400f,
12945   1.942962324335484100f, 1.942871355483985200f, 1.942780315198660200f,
12946     1.942689203482856900f,
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12948     1.942324042381895000f,
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12950     1.941957738661741900f,
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12960     1.940109088338673600f,
12961   1.940015906606864300f, 1.939922653546215500f, 1.939829329160156500f,
12962     1.939735933452118000f,
12963   1.939642466425534300f, 1.939548928083841800f, 1.939455318430479500f,
12964     1.939361637468889100f,
12965   1.939267885202515400f, 1.939174061634805000f, 1.939080166769207700f,
12966     1.938986200609175600f,
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12968     1.938609623093837000f,
12969   1.938515300513506700f, 1.938420906659510600f, 1.938326441535318500f,
12970     1.938231905144404400f,
12971   1.938137297490243500f, 1.938042618576314400f, 1.937947868406098500f,
12972     1.937853046983079300f,
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12974     1.937473048832734500f,
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12976     1.937091910916912900f,
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12978     1.936709633459828200f,
12979   1.936613886068573500f, 1.936518067473562300f, 1.936422177678317300f,
12980     1.936326216686364400f,
12981   1.936230184501231500f, 1.936134081126449800f, 1.936037906565552400f,
12982     1.935941660822075600f,
12983   1.935845343899558000f, 1.935748955801540800f, 1.935652496531568000f,
12984     1.935555966093186300f,
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12986     1.935169132726590500f,
12987   1.935072246499453000f, 1.934975289125240500f, 1.934878260607517900f,
12988     1.934781160949852600f,
12989   1.934683990155814800f, 1.934586748228977100f, 1.934489435172914900f,
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13002     1.932033502284691700f,
13003   1.931934341132289100f, 1.931835108948183300f, 1.931735805736022800f,
13004     1.931636431499459000f,
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13012     1.930036787384968200f,
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13014     1.929634037289242400f,
13015   1.929533172388230700f, 1.929432236543799900f, 1.929331229759661200f,
13016     1.929230152039528500f,
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13018     1.928825131873421500f,
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13020     1.928418977029184600f,
13021   1.928317261052652700f, 1.928215474177407100f, 1.928113616407190600f,
13022     1.928011687745748300f,
13023   1.927909688196827400f, 1.927807617764178300f, 1.927705476451554000f,
13024     1.927603264262709900f,
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13026     1.927193706820335100f,
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13028     1.926783015659555300f,
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13030     1.926371191021970100f,
13031   1.926268057785198700f, 1.926164853725057300f, 1.926061578845340600f,
13032     1.925958233149845000f,
13033   1.925854816642371000f, 1.925751329326720600f, 1.925647771206698600f,
13034     1.925544142286112800f,
13035   1.925440442568773000f, 1.925336672058492300f, 1.925232830759086000f,
13036     1.925128918674371900f,
13037   1.925024935808170600f, 1.924920882164305300f, 1.924816757746601800f,
13038     1.924712562558888100f,
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13040     1.924295074184593000f,
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13326     1.853070406990027500f,
13327   1.852926098934532200f, 1.852781722752241000f, 1.852637278448462200f,
13328     1.852492766028506400f,
13329   1.852348185497687300f, 1.852203536861320600f, 1.852058820124724300f,
13330     1.851914035293219700f,
13331   1.851769182372129600f, 1.851624261366780400f, 1.851479272282500000f,
13332     1.851334215124619300f,
13333   1.851189089898471800f, 1.851043896609393400f, 1.850898635262721900f,
13334     1.850753305863798800f,
13335   1.850607908417967200f, 1.850462442930572900f, 1.850316909406964200f,
13336     1.850171307852492200f,
13337   1.850025638272510000f, 1.849879900672373600f, 1.849734095057441200f,
13338     1.849588221433073700f,
13339   1.849442279804634600f, 1.849296270177489800f, 1.849150192557007300f,
13340     1.849004046948558200f,
13341   1.848857833357515900f, 1.848711551789256300f, 1.848565202249157400f,
13342     1.848418784742600400f,
13343   1.848272299274968500f, 1.848125745851647800f, 1.847979124478026100f,
13344     1.847832435159495000f,
13345   1.847685677901447200f, 1.847538852709279100f, 1.847391959588388300f,
13346     1.847244998544176300f,
13347   1.847097969582046200f, 1.846950872707404000f, 1.846803707925657600f,
13348     1.846656475242218300f,
13349   1.846509174662499300f, 1.846361806191916000f, 1.846214369835887500f,
13350     1.846066865599834000f,
13351   1.845919293489179000f, 1.845771653509348200f, 1.845623945665770100f,
13352     1.845476169963875500f,
13353   1.845328326409097400f, 1.845180415006871800f, 1.845032435762637100f,
13354     1.844884388681833800f,
13355   1.844736273769905300f, 1.844588091032297400f, 1.844439840474458200f,
13356     1.844291522101838800f,
13357   1.844143135919891900f, 1.843994681934073600f, 1.843846160149842200f,
13358     1.843697570572658200f,
13359   1.843548913207985000f, 1.843400188061288000f, 1.843251395138035800f,
13360     1.843102534443698900f,
13361   1.842953605983750400f, 1.842804609763666100f, 1.842655545788924000f,
13362     1.842506414065004900f,
13363   1.842357214597392100f, 1.842207947391570900f, 1.842058612453029600f,
13364     1.841909209787258900f,
13365   1.841759739399751800f, 1.841610201296003800f, 1.841460595481513100f,
13366     1.841310921961780500f,
13367   1.841161180742308500f, 1.841011371828603200f, 1.840861495226172600f,
13368     1.840711550940526700f,
13369   1.840561538977179200f, 1.840411459341645400f, 1.840261312039443100f,
13370     1.840111097076092800f,
13371   1.839960814457117600f, 1.839810464188043100f, 1.839660046274397100f,
13372     1.839509560721709800f,
13373   1.839359007535514400f, 1.839208386721346500f, 1.839057698284743500f,
13374     1.838906942231246100f,
13375   1.838756118566397200f, 1.838605227295741800f, 1.838454268424828400f,
13376     1.838303241959206700f,
13377   1.838152147904429800f, 1.838000986266052900f, 1.837849757049633900f,
13378     1.837698460260732900f,
13379   1.837547095904912700f, 1.837395663987738700f, 1.837244164514778600f,
13380     1.837092597491602100f,
13381   1.836940962923782700f, 1.836789260816895000f, 1.836637491176516600f,
13382     1.836485654008228200f,
13383   1.836333749317611700f, 1.836181777110252900f, 1.836029737391738700f,
13384     1.835877630167659800f,
13385   1.835725455443608200f, 1.835573213225179400f, 1.835420903517970500f,
13386     1.835268526327581900f,
13387   1.835116081659615700f, 1.834963569519677100f, 1.834810989913373500f,
13388     1.834658342846314800f,
13389   1.834505628324113200f, 1.834352846352383700f, 1.834199996936744000f,
13390     1.834047080082813300f,
13391   1.833894095796214400f, 1.833741044082571900f, 1.833587924947513100f,
13392     1.833434738396668000f,
13393   1.833281484435668400f, 1.833128163070149300f, 1.832974774305747600f,
13394     1.832821318148103500f,
13395   1.832667794602858400f, 1.832514203675657600f, 1.832360545372147900f,
13396     1.832206819697979000f,
13397   1.832053026658802700f, 1.831899166260273700f, 1.831745238508049300f,
13398     1.831591243407788300f,
13399   1.831437180965153100f, 1.831283051185808300f, 1.831128854075420500f,
13400     1.830974589639659000f,
13401   1.830820257884196100f, 1.830665858814705600f, 1.830511392436864800f,
13402     1.830356858756352800f,
13403   1.830202257778851300f, 1.830047589510044500f, 1.829892853955619200f,
13404     1.829738051121264600f,
13405   1.829583181012672400f, 1.829428243635536500f, 1.829273238995553700f,
13406     1.829118167098423100f,
13407   1.828963027949846100f, 1.828807821555527000f, 1.828652547921171900f,
13408     1.828497207052490100f,
13409   1.828341798955192900f, 1.828186323634994200f, 1.828030781097610400f,
13410     1.827875171348760400f,
13411   1.827719494394165500f, 1.827563750239549400f, 1.827407938890638600f,
13412     1.827252060353161500f,
13413   1.827096114632849700f, 1.826940101735436500f, 1.826784021666658400f,
13414     1.826627874432253700f,
13415   1.826471660037963800f, 1.826315378489531800f, 1.826159029792704400f,
13416     1.826002613953229500f,
13417   1.825846130976858100f, 1.825689580869344100f, 1.825532963636443000f,
13418     1.825376279283913200f,
13419   1.825219527817515800f, 1.825062709243013800f, 1.824905823566173000f,
13420     1.824748870792761900f,
13421   1.824591850928550800f, 1.824434763979313300f, 1.824277609950824700f,
13422     1.824120388848863300f,
13423   1.823963100679209600f, 1.823805745447646600f, 1.823648323159960100f,
13424     1.823490833821937600f,
13425   1.823333277439369600f, 1.823175654018049300f, 1.823017963563772000f,
13426     1.822860206082335300f,
13427   1.822702381579539800f, 1.822544490061187800f, 1.822386531533084900f,
13428     1.822228506001038800f,
13429   1.822070413470859600f, 1.821912253948359700f, 1.821754027439354400f,
13430     1.821595733949661100f,
13431   1.821437373485099900f, 1.821278946051493100f, 1.821120451654665700f,
13432     1.820961890300445400f,
13433   1.820803261994661500f, 1.820644566743146800f, 1.820485804551735800f,
13434     1.820326975426265600f,
13435   1.820168079372576300f, 1.820009116396509800f, 1.819850086503910700f,
13436     1.819690989700625900f,
13437   1.819531825992505500f, 1.819372595385401000f, 1.819213297885166900f,
13438     1.819053933497660300f,
13439   1.818894502228740600f, 1.818735004084269600f, 1.818575439070111200f,
13440     1.818415807192132600f,
13441   1.818256108456203000f, 1.818096342868193800f, 1.817936510433979300f,
13442     1.817776611159436000f,
13443   1.817616645050443000f, 1.817456612112881900f, 1.817296512352636300f,
13444     1.817136345775592900f,
13445   1.816976112387640700f, 1.816815812194670700f, 1.816655445202576700f,
13446     1.816495011417255300f,
13447   1.816334510844604700f, 1.816173943490526400f, 1.816013309360923900f,
13448     1.815852608461703300f,
13449   1.815691840798773000f, 1.815531006378043900f, 1.815370105205429600f,
13450     1.815209137286846200f,
13451   1.815048102628211500f, 1.814887001235446600f, 1.814725833114474700f,
13452     1.814564598271221300f,
13453   1.814403296711615000f, 1.814241928441585800f, 1.814080493467067300f,
13454     1.813918991793994900f,
13455   1.813757423428306000f, 1.813595788375941700f, 1.813434086642844400f,
13456     1.813272318234959700f,
13457   1.813110483158235400f, 1.812948581418621500f, 1.812786613022070700f,
13458     1.812624577974538000f,
13459   1.812462476281981200f, 1.812300307950360300f, 1.812138072985637800f,
13460     1.811975771393778300f,
13461   1.811813403180749300f, 1.811650968352521000f, 1.811488466915065000f,
13462     1.811325898874356800f,
13463   1.811163264236372900f, 1.811000563007093100f, 1.810837795192499400f,
13464     1.810674960798576600f,
13465   1.810512059831311400f, 1.810349092296693400f, 1.810186058200714100f,
13466     1.810022957549368000f,
13467   1.809859790348652200f, 1.809696556604565300f, 1.809533256323109200f,
13468     1.809369889510288100f,
13469   1.809206456172108200f, 1.809042956314578900f, 1.808879389943711200f,
13470     1.808715757065519200f,
13471   1.808552057686019200f, 1.808388291811230000f, 1.808224459447172800f,
13472     1.808060560599871200f,
13473   1.807896595275351200f, 1.807732563479641300f, 1.807568465218772900f,
13474     1.807404300498778800f,
13475   1.807240069325695400f, 1.807075771705560800f, 1.806911407644415700f,
13476     1.806746977148303300f,
13477   1.806582480223269500f, 1.806417916875362000f, 1.806253287110631600f,
13478     1.806088590935131000f,
13479   1.805923828354915900f, 1.805758999376044100f, 1.805594104004575800f,
13480     1.805429142246573600f,
13481   1.805264114108102900f, 1.805099019595231200f, 1.804933858714028700f,
13482     1.804768631470567500f,
13483   1.804603337870923000f, 1.804437977921172300f, 1.804272551627395400f,
13484     1.804107058995674500f,
13485   1.803941500032094200f, 1.803775874742741500f, 1.803610183133706400f,
13486     1.803444425211080400f,
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13488     1.802780730506595700f,
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13490     1.802115975272655000f,
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13492     1.801450159900316300f,
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13494     1.800783284781262200f,
13495   1.800616400462033800f, 1.800449449939287800f, 1.800282433219162000f,
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13498     1.799446356872851400f,
13499   1.799278943097489100f, 1.799111463167783400f, 1.798943917089892000f,
13500     1.798776304869975200f,
13501   1.798608626514195800f, 1.798440882028718500f, 1.798273071419711000f,
13502     1.798105194693343500f,
13503   1.797937251855787700f, 1.797769242913218800f, 1.797601167871813800f,
13504     1.797433026737752700f,
13505   1.797264819517217200f, 1.797096546216391900f, 1.796928206841463800f,
13506     1.796759801398622100f,
13507   1.796591329894058800f, 1.796422792333968000f, 1.796254188724546500f,
13508     1.796085519071992900f,
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13510     1.795410180154527900f,
13511   1.795241180379386800f, 1.795072114598359200f, 1.794902982817661500f,
13512     1.794733785043511900f,
13513   1.794564521282131300f, 1.794395191539743400f, 1.794225795822573600f,
13514     1.794056334136850300f,
13515   1.793886806488804100f, 1.793717212884667900f, 1.793547553330677300f,
13516     1.793377827833070100f,
13517   1.793208036398086900f, 1.793038179031970000f, 1.792868255740965000f,
13518     1.792698266531319400f,
13519   1.792528211409282900f, 1.792358090381108300f, 1.792187903453050100f,
13520     1.792017650631366100f,
13521   1.791847331922315600f, 1.791676947332161000f, 1.791506496867166600f,
13522     1.791335980533599300f,
13523   1.791165398337728900f, 1.790994750285827000f, 1.790824036384167900f,
13524     1.790653256639028100f,
13525   1.790482411056686800f, 1.790311499643425500f, 1.790140522405528200f,
13526     1.789969479349281100f,
13527   1.789798370480973000f, 1.789627195806895200f, 1.789455955333341100f,
13528     1.789284649066606800f,
13529   1.789113277012990900f, 1.788941839178794100f, 1.788770335570319700f,
13530     1.788598766193873600f,
13531   1.788427131055763600f, 1.788255430162300400f, 1.788083663519796800f,
13532     1.787911831134568300f,
13533   1.787739933012932900f, 1.787567969161210300f, 1.787395939585723500f,
13534     1.787223844292797500f,
13535   1.787051683288759500f, 1.786879456579939700f, 1.786707164172670200f,
13536     1.786534806073285700f,
13537   1.786362382288123400f, 1.786189892823522700f, 1.786017337685825700f,
13538     1.785844716881376700f,
13539   1.785672030416522300f, 1.785499278297612000f, 1.785326460530997300f,
13540     1.785153577123032000f,
13541   1.784980628080072900f, 1.784807613408478300f, 1.784634533114609800f,
13542     1.784461387204831400f,
13543   1.784288175685508700f, 1.784114898563010200f, 1.783941555843707100f,
13544     1.783768147533972200f,
13545   1.783594673640181800f, 1.783421134168713800f, 1.783247529125948900f,
13546     1.783073858518269700f,
13547   1.782900122352062000f, 1.782726320633713200f, 1.782552453369613800f,
13548     1.782378520566156200f,
13549   1.782204522229735600f, 1.782030458366749200f, 1.781856328983596900f,
13550     1.781682134086680900f,
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13556     1.779586687583830200f,
13557   1.779411641591686500f, 1.779236530175663600f, 1.779061353342199500f,
13558     1.778886111097735000f,
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13560     1.778184488138772900f,
13561   1.778008918936002000f, 1.777833284360925900f, 1.777657584420002000f,
13562     1.777481819119690200f,
13563   1.777305988466453000f, 1.777130092466755200f, 1.776954131127064200f,
13564     1.776778104453849100f,
13565   1.776602012453582400f, 1.776425855132738100f, 1.776249632497793200f,
13566     1.776073344555227000f,
13567   1.775896991311520800f, 1.775720572773158900f, 1.775544088946627600f,
13568     1.775367539838415700f,
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13570     1.774660690718622000f,
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13572     1.773952797611667100f,
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13580     1.771110793650148500f,
13581   1.770932614615799800f, 1.770754370469321400f, 1.770576061217266500f,
13582     1.770397686866191300f,
13583   1.770219247422653700f, 1.770040742893215000f, 1.769862173284438000f,
13584     1.769683538602888000f,
13585   1.769504838855133100f, 1.769326074047743700f, 1.769147244187292200f,
13586     1.768968349280353800f,
13587   1.768789389333506000f, 1.768610364353328600f, 1.768431274346403900f,
13588     1.768252119319316400f,
13589   1.768072899278653200f, 1.767893614231003800f, 1.767714264182959500f,
13590     1.767534849141115100f,
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13593   1.766636799255852300f, 1.766456994389817600f, 1.766277124576209000f,
13594     1.766097189821639300f,
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13599   1.764474855779653200f, 1.764294271979732100f, 1.764113623311754000f,
13600     1.763932909782361100f,
13601   1.763752131398197200f, 1.763571288165909400f, 1.763390380092146400f,
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13610     1.760305028547026500f,
13611   1.760122954466425600f, 1.759940815671135100f, 1.759758612167851700f,
13612     1.759576343963274600f,
13613   1.759394011064105100f, 1.759211613477047200f, 1.759029151208807400f,
13614     1.758846624266093800f,
13615   1.758664032655617500f, 1.758481376384092500f, 1.758298655458233600f,
13616     1.758115869884759700f,
13617   1.757933019670390800f, 1.757750104821850000f, 1.757567125345862700f,
13618     1.757384081249156100f,
13619   1.757200972538460700f, 1.757017799220508500f, 1.756834561302034400f,
13620     1.756651258789775800f,
13621   1.756467891690471700f, 1.756284460010864200f, 1.756100963757697900f,
13622     1.755917402937718900f,
13623   1.755733777557676500f, 1.755550087624322000f, 1.755366333144409200f,
13624     1.755182514124693900f,
13625   1.754998630571935200f, 1.754814682492893600f, 1.754630669894332600f,
13626     1.754446592783017500f,
13627   1.754262451165716300f, 1.754078245049199600f, 1.753893974440240000f,
13628     1.753709639345612600f,
13629   1.753525239772095100f, 1.753340775726466700f, 1.753156247215510400f,
13630     1.752971654246010300f,
13631   1.752786996824753600f, 1.752602274958529500f, 1.752417488654129700f,
13632     1.752232637918348200f,
13633   1.752047722757981600f, 1.751862743179828600f, 1.751677699190690400f,
13634     1.751492590797370600f,
13635   1.751307418006674800f, 1.751122180825411800f, 1.750936879260391700f,
13636     1.750751513318427700f,
13637   1.750566083006335600f, 1.750380588330932500f, 1.750195029299038900f,
13638     1.750009405917477100f,
13639   1.749823718193071800f, 1.749637966132650900f, 1.749452149743043100f,
13640     1.749266269031080700f,
13641   1.749080324003598100f, 1.748894314667431800f, 1.748708241029421000f,
13642     1.748522103096407300f,
13643   1.748335900875233900f, 1.748149634372747200f, 1.747963303595795500f,
13644     1.747776908551230000f,
13645   1.747590449245904000f, 1.747403925686672500f, 1.747217337880393900f,
13646     1.747030685833928200f,
13647   1.746843969554138200f, 1.746657189047889200f, 1.746470344322048200f,
13648     1.746283435383485100f,
13649   1.746096462239072000f, 1.745909424895683200f, 1.745722323360195900f,
13650     1.745535157639489100f,
13651   1.745347927740444200f, 1.745160633669945200f, 1.744973275434878300f,
13652     1.744785853042132300f,
13653   1.744598366498598200f, 1.744410815811169300f, 1.744223200986741100f,
13654     1.744035522032211900f,
13655   1.743847778954482000f, 1.743659971760454200f, 1.743472100457033700f,
13656     1.743284165051127700f,
13657   1.743096165549646400f, 1.742908101959502100f, 1.742719974287608900f,
13658     1.742531782540884100f,
13659   1.742343526726246800f, 1.742155206850618800f, 1.741966822920923800f,
13660     1.741778374944088000f,
13661   1.741589862927040800f, 1.741401286876712800f, 1.741212646800037300f,
13662     1.741023942703950200f,
13663   1.740835174595389600f, 1.740646342481295900f, 1.740457446368612000f,
13664     1.740268486264283200f,
13665   1.740079462175256900f, 1.739890374108482600f, 1.739701222070913200f,
13666     1.739512006069502800f,
13667   1.739322726111208500f, 1.739133382202989500f, 1.738943974351807600f,
13668     1.738754502564626700f,
13669   1.738564966848413100f, 1.738375367210135400f, 1.738185703656765200f,
13670     1.737995976195275000f,
13671   1.737806184832640900f, 1.737616329575841300f, 1.737426410431856200f,
13672     1.737236427407668800f,
13673   1.737046380510263800f, 1.736856269746629000f, 1.736666095123754000f,
13674     1.736475856648631400f,
13675   1.736285554328254900f, 1.736095188169622500f, 1.735904758179732400f,
13676     1.735714264365586700f,
13677   1.735523706734189100f, 1.735333085292545900f, 1.735142400047666100f,
13678     1.734951651006560100f,
13679   1.734760838176241400f, 1.734569961563725600f, 1.734379021176030600f,
13680     1.734188017020177100f,
13681   1.733996949103187500f, 1.733805817432086900f, 1.733614622013902600f,
13682     1.733423362855664100f,
13683   1.733232039964403900f, 1.733040653347156300f, 1.732849203010957900f,
13684     1.732657688962847600f,
13685   1.732466111209867200f, 1.732274469759060200f, 1.732082764617472800f,
13686     1.731890995792153600f,
13687   1.731699163290153100f, 1.731507267118524500f, 1.731315307284323700f,
13688     1.731123283794607800f,
13689   1.730931196656437600f, 1.730739045876875200f, 1.730546831462985500f,
13690     1.730354553421835600f,
13691   1.730162211760495300f, 1.729969806486036500f, 1.729777337605533000f,
13692     1.729584805126061400f,
13693   1.729392209054700900f, 1.729199549398532400f, 1.729006826164639400f,
13694     1.728814039360108100f,
13695   1.728621188992026400f, 1.728428275067485100f, 1.728235297593577100f,
13696     1.728042256577397200f,
13697   1.727849152026043500f, 1.727655983946615700f, 1.727462752346216000f,
13698     1.727269457231948900f,
13699   1.727076098610921500f, 1.726882676490243000f, 1.726689190877025000f,
13700     1.726495641778381200f,
13701   1.726302029201427900f, 1.726108353153283900f, 1.725914613641069900f,
13702     1.725720810671909300f,
13703   1.725526944252927700f, 1.725333014391252900f, 1.725139021094015200f,
13704     1.724944964368347000f,
13705   1.724750844221383500f, 1.724556660660261800f, 1.724362413692121400f,
13706     1.724168103324104300f,
13707   1.723973729563354600f, 1.723779292417019200f, 1.723584791892246700f,
13708     1.723390227996188600f,
13709   1.723195600735998100f, 1.723000910118831300f, 1.722806156151846400f,
13710     1.722611338842204000f,
13711   1.722416458197066900f, 1.722221514223600100f, 1.722026506928971500f,
13712     1.721831436320350800f,
13713   1.721636302404910200f, 1.721441105189824000f, 1.721245844682269600f,
13714     1.721050520889425600f,
13715   1.720855133818473900f, 1.720659683476597900f, 1.720464169870984200f,
13716     1.720268593008821100f,
13717   1.720072952897299100f, 1.719877249543611900f, 1.719681482954954500f,
13718     1.719485653138524800f,
13719   1.719289760101522900f, 1.719093803851151400f, 1.718897784394614900f,
13720     1.718701701739120400f,
13721   1.718505555891877400f, 1.718309346860097600f, 1.718113074650995200f,
13722     1.717916739271786500f,
13723   1.717720340729689700f, 1.717523879031926500f, 1.717327354185719900f,
13724     1.717130766198295700f,
13725   1.716934115076881800f, 1.716737400828708400f, 1.716540623461008100f,
13726     1.716343782981016200f,
13727   1.716146879395969500f, 1.715949912713108100f, 1.715752882939673300f,
13728     1.715555790082909900f,
13729   1.715358634150064000f, 1.715161415148384500f, 1.714964133085122900f,
13730     1.714766787967532600f,
13731   1.714569379802868900f, 1.714371908598390800f, 1.714174374361358000f,
13732     1.713976777099033700f,
13733   1.713779116818682900f, 1.713581393527573000f, 1.713383607232973600f,
13734     1.713185757942156800f,
13735   1.712987845662396800f, 1.712789870400970700f, 1.712591832165157200f,
13736     1.712393730962237500f,
13737   1.712195566799495500f, 1.711997339684216700f, 1.711799049623689900f,
13738     1.711600696625205300f,
13739   1.711402280696055800f, 1.711203801843536700f, 1.711005260074945200f,
13740     1.710806655397581600f,
13741   1.710607987818747700f, 1.710409257345748100f, 1.710210463985889500f,
13742     1.710011607746480600f,
13743   1.709812688634833300f, 1.709613706658261100f, 1.709414661824080000f,
13744     1.709215554139608400f,
13745   1.709016383612166600f, 1.708817150249077900f, 1.708617854057667300f,
13746     1.708418495045262300f,
13747   1.708219073219193300f, 1.708019588586791700f, 1.707820041155392500f,
13748     1.707620430932332400f,
13749   1.707420757924950300f, 1.707221022140587900f, 1.707021223586588700f,
13750     1.706821362270298600f,
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13758     1.703615051541415900f,
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13760     1.702810967196746000f,
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13762     1.702005881132255800f,
13763   1.701804453152900000f, 1.701602962603059100f, 1.701401409490141300f,
13764     1.701199793821557300f,
13765   1.700998115604720000f, 1.700796374847044300f, 1.700594571555948100f,
13766     1.700392705738850400f,
13767   1.700190777403173700f, 1.699988786556342300f, 1.699786733205783000f,
13768     1.699584617358924400f,
13769   1.699382439023197700f, 1.699180198206036600f, 1.698977894914877100f,
13770     1.698775529157156700f,
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13774     1.697154355192547900f,
13775   1.696951427570877000f, 1.696748437557152900f, 1.696545385158839200f,
13776     1.696342270383401200f,
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13780     1.694715107500066800f,
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13784     1.693083956788381500f,
13785   1.692879782746300700f, 1.692675546461869900f, 1.692471247942597600f,
13786     1.692266887195995600f,
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13788     1.691448822086600400f,
13789   1.691244150316102000f, 1.691039416363390800f, 1.690834620235994300f,
13790     1.690629761941442100f,
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13810     1.682384539815327400f,
13811   1.682177139178700400f, 1.681969676693228600f, 1.681762152366539600f,
13812     1.681554566206263900f,
13813   1.681346918220033800f, 1.681139208415483700f, 1.680931436800250600f,
13814     1.680723603381973500f,
13815   1.680515708168294200f, 1.680307751166856300f, 1.680099732385305300f,
13816     1.679891651831290100f,
13817   1.679683509512460900f, 1.679475305436470600f, 1.679267039610974300f,
13818     1.679058712043629300f,
13819   1.678850322742095200f, 1.678641871714033900f, 1.678433358967109400f,
13820     1.678224784508988400f,
13821   1.678016148347339300f, 1.677807450489833300f, 1.677598690944143400f,
13822     1.677389869717945000f,
13823   1.677180986818916300f, 1.676972042254736900f, 1.676763036033089600f,
13824     1.676553968161658600f,
13825   1.676344838648130600f, 1.676135647500194700f, 1.675926394725542700f,
13826     1.675717080331867900f,
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13828     1.674879206720892900f,
13829   1.674669584347587800f, 1.674459900401469700f, 1.674250154890247300f,
13830     1.674040347821632800f,
13831   1.673830479203340000f, 1.673620549043085500f, 1.673410557348587600f,
13832     1.673200504127567000f,
13833   1.672990389387746700f, 1.672780213136852300f, 1.672569975382611300f,
13834     1.672359676132753500f,
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13836     1.671517864331830000f,
13837   1.671307257719914800f, 1.671096589658809500f, 1.670885860156259300f,
13838     1.670675069220012500f,
13839   1.670464216857819200f, 1.670253303077431800f, 1.670042327886605200f,
13840     1.669831291293095900f,
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13842     1.668986531047453000f,
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13844     1.668140788980034400f,
13845   1.667929200111818400f, 1.667717549918614100f, 1.667505838408202700f,
13846     1.667294065588368100f,
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13848     1.666446361370560000f,
13849   1.666234282120450100f, 1.666022141607668600f, 1.665809939840015500f,
13850     1.665597676825292700f,
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13858     1.662193145363459100f,
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13860     1.661339566681307600f,
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13862     1.660485010675892400f,
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13864     1.659629477849926800f,
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13866     1.658772968706699000f,
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13868     1.657915483750071100f,
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13870     1.657057023484479000f,
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13880     1.652750110217479100f,
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13882     1.651885808723375900f,
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13890     1.648418890221385400f,
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13893   1.647332294752774200f, 1.647114793923981600f, 1.646897232535486500f,
13894     1.646679610595287900f,
13895   1.646461928111387300f, 1.646244185091788400f, 1.646026381544496400f,
13896     1.645808517477519700f,
13897   1.645590592898868600f, 1.645372607816555400f, 1.645154562238594800f,
13898     1.644936456173004000f,
13899   1.644718289627801600f, 1.644500062611009300f, 1.644281775130650900f,
13900     1.644063427194751600f,
13901   1.643845018811340300f, 1.643626549988446200f, 1.643408020734102600f,
13902     1.643189431056343700f,
13903   1.642970780963206800f, 1.642752070462730800f, 1.642533299562957100f,
13904     1.642314468271929300f,
13905   1.642095576597693200f, 1.641876624548297000f, 1.641657612131790500f,
13906     1.641438539356226500f,
13907   1.641219406229659700f, 1.641000212760146800f, 1.640780958955747200f,
13908     1.640561644824521700f,
13909   1.640342270374534500f, 1.640122835613851100f, 1.639903340550539200f,
13910     1.639683785192669600f,
13911   1.639464169548314100f, 1.639244493625547900f, 1.639024757432447500f,
13912     1.638804960977092100f,
13913   1.638585104267562800f, 1.638365187311943400f, 1.638145210118319400f,
13914     1.637925172694778800f,
13915   1.637705075049411800f, 1.637484917190310800f, 1.637264699125570200f,
13916     1.637044420863286600f,
13917   1.636824082411559600f, 1.636603683778490100f, 1.636383224972181500f,
13918     1.636162706000739300f,
13919   1.635942126872271800f, 1.635721487594888400f, 1.635500788176702100f,
13920     1.635280028625826900f,
13921   1.635059208950379700f, 1.634838329158479200f, 1.634617389258246700f,
13922     1.634396389257805700f,
13923   1.634175329165281400f, 1.633954208988801700f, 1.633733028736496400f,
13924     1.633511788416498000f,
13925   1.633290488036940500f, 1.633069127605960800f, 1.632847707131697600f,
13926     1.632626226622291700f,
13927   1.632404686085886300f, 1.632183085530627200f, 1.631961424964661700f,
13928     1.631739704396139900f,
13929   1.631517923833213400f, 1.631296083284036900f, 1.631074182756766300f,
13930     1.630852222259560700f,
13931   1.630630201800580900f, 1.630408121387990000f, 1.630185981029953000f,
13932     1.629963780734637400f,
13933   1.629741520510213000f, 1.629519200364851800f, 1.629296820306727700f,
13934     1.629074380344017100f,
13935   1.628851880484898200f, 1.628629320737551700f, 1.628406701110161100f,
13936     1.628184021610910700f,
13937   1.627961282247988300f, 1.627738483029583100f, 1.627515623963887000f,
13938     1.627292705059093700f,
13939   1.627069726323399500f, 1.626846687765002700f, 1.626623589392103500f,
13940     1.626400431212904800f,
13941   1.626177213235611400f, 1.625953935468430500f, 1.625730597919571300f,
13942     1.625507200597245500f,
13943   1.625283743509666300f, 1.625060226665050000f, 1.624836650071614500f,
13944     1.624613013737580000f,
13945   1.624389317671169500f, 1.624165561880607000f, 1.623941746374119500f,
13946     1.623717871159936300f,
13947   1.623493936246288300f, 1.623269941641409400f, 1.623045887353534900f,
13948     1.622821773390902700f,
13949   1.622597599761753000f, 1.622373366474327800f, 1.622149073536871800f,
13950     1.621924720957631300f,
13951   1.621700308744855200f, 1.621475836906794500f, 1.621251305451702400f,
13952     1.621026714387834300f,
13953   1.620802063723447700f, 1.620577353466802700f, 1.620352583626160500f,
13954     1.620127754209786100f,
13955   1.619902865225945300f, 1.619677916682906700f, 1.619452908588941300f,
13956     1.619227840952321800f,
13957   1.619002713781323200f, 1.618777527084222800f, 1.618552280869300300f,
13958     1.618326975144837000f,
13959   1.618101609919117200f, 1.617876185200426600f, 1.617650700997053500f,
13960     1.617425157317288200f,
13961   1.617199554169423500f, 1.616973891561754200f, 1.616748169502577200f,
13962     1.616522388000191500f,
13963   1.616296547062898500f, 1.616070646699001800f, 1.615844686916807300f,
13964     1.615618667724622700f,
13965   1.615392589130757900f, 1.615166451143525300f, 1.614940253771239400f,
13966     1.614713997022216900f,
13967   1.614487680904776600f, 1.614261305427239200f, 1.614034870597928400f,
13968     1.613808376425168900f,
13969   1.613581822917288900f, 1.613355210082617800f, 1.613128537929487500f,
13970     1.612901806466232200f,
13971   1.612675015701188000f, 1.612448165642693400f, 1.612221256299089200f,
13972     1.611994287678718100f,
13973   1.611767259789925100f, 1.611540172641057200f, 1.611313026240463800f,
13974     1.611085820596496600f,
13975   1.610858555717509200f, 1.610631231611857800f, 1.610403848287899700f,
13976     1.610176405753995800f,
13977   1.609948904018508200f, 1.609721343089801600f, 1.609493722976242900f,
13978     1.609266043686200700f,
13979   1.609038305228046400f, 1.608810507610153100f, 1.608582650840896200f,
13980     1.608354734928653800f,
13981   1.608126759881805400f, 1.607898725708732900f, 1.607670632417820500f,
13982     1.607442480017454700f,
13983   1.607214268516024000f, 1.606985997921919000f, 1.606757668243532500f,
13984     1.606529279489259600f,
13985   1.606300831667497600f, 1.606072324786645500f, 1.605843758855105300f,
13986     1.605615133881280700f,
13987   1.605386449873577300f, 1.605157706840403300f, 1.604928904790168700f,
13988     1.604700043731286200f,
13989   1.604471123672170500f, 1.604242144621237800f, 1.604013106586907400f,
13990     1.603784009577600100f,
13991   1.603554853601739700f, 1.603325638667751000f, 1.603096364784061900f,
13992     1.602867031959102100f,
13993   1.602637640201303400f, 1.602408189519099800f, 1.602178679920927900f,
13994     1.601949111415226000f,
13995   1.601719484010434300f, 1.601489797714996000f, 1.601260052537355700f,
13996     1.601030248485960900f,
13997   1.600800385569260300f, 1.600570463795705700f, 1.600340483173750400f,
13998     1.600110443711850300f,
13999   1.599880345418463100f, 1.599650188302049100f, 1.599419972371070500f,
14000     1.599189697633991400f,
14001   1.598959364099278700f, 1.598728971775401000f, 1.598498520670828900f,
14002     1.598268010794035900f,
14003   1.598037442153496900f, 1.597806814757689200f, 1.597576128615092200f,
14004     1.597345383734188000f,
14005   1.597114580123460100f, 1.596883717791394800f, 1.596652796746479600f,
14006     1.596421816997205500f,
14007   1.596190778552064800f, 1.595959681419551800f, 1.595728525608163700f,
14008     1.595497311126399300f,
14009   1.595266037982759500f, 1.595034706185747500f, 1.594803315743869000f,
14010     1.594571866665631700f,
14011   1.594340358959544800f, 1.594108792634120600f, 1.593877167697873100f,
14012     1.593645484159318200f,
14013   1.593413742026974500f, 1.593181941309362400f, 1.592950082015004700f,
14014     1.592718164152426000f,
14015   1.592486187730153300f, 1.592254152756715600f, 1.592022059240644400f,
14016     1.591789907190473100f,
14017   1.591557696614737100f, 1.591325427521974100f, 1.591093099920724200f,
14018     1.590860713819529400f,
14019   1.590628269226933600f, 1.590395766151483400f, 1.590163204601727100f,
14020     1.589930584586215500f,
14021   1.589697906113501000f, 1.589465169192139100f, 1.589232373830686400f,
14022     1.588999520037702300f,
14023   1.588766607821748200f, 1.588533637191387400f, 1.588300608155185600f,
14024     1.588067520721711000f,
14025   1.587834374899533400f, 1.587601170697224600f, 1.587367908123358900f,
14026     1.587134587186513000f,
14027   1.586901207895265300f, 1.586667770258196600f, 1.586434274283889500f,
14028     1.586200719980929200f,
14029   1.585967107357902700f, 1.585733436423399000f, 1.585499707186010200f,
14030     1.585265919654329300f,
14031   1.585032073836952100f, 1.584798169742476400f, 1.584564207379502500f,
14032     1.584330186756632200f,
14033   1.584096107882470000f, 1.583861970765622100f, 1.583627775414697000f,
14034     1.583393521838305700f,
14035   1.583159210045060900f, 1.582924840043577400f, 1.582690411842472700f,
14036     1.582455925450365600f,
14037   1.582221380875877800f, 1.581986778127632700f, 1.581752117214255900f,
14038     1.581517398144375800f,
14039   1.581282620926621300f, 1.581047785569625400f, 1.580812892082021900f,
14040     1.580577940472447200f,
14041   1.580342930749539800f, 1.580107862921940700f, 1.579872736998292100f,
14042     1.579637552987239100f,
14043   1.579402310897428900f, 1.579167010737510600f, 1.578931652516135700f,
14044     1.578696236241957200f,
14045   1.578460761923630800f, 1.578225229569814700f, 1.577989639189168100f,
14046     1.577753990790353500f,
14047   1.577518284382034800f, 1.577282519972878200f, 1.577046697571552000f,
14048     1.576810817186727000f,
14049   1.576574878827075700f, 1.576338882501273000f, 1.576102828217995600f,
14050     1.575866715985922500f,
14051   1.575630545813735200f, 1.575394317710116600f, 1.575158031683752300f,
14052     1.574921687743330300f,
14053   1.574685285897539800f, 1.574448826155072400f, 1.574212308524622500f,
14054     1.573975733014886000f,
14055   1.573739099634561500f, 1.573502408392348600f, 1.573265659296950300f,
14056     1.573028852357070800f,
14057   1.572791987581417100f, 1.572555064978698100f, 1.572318084557624800f,
14058     1.572081046326909900f,
14059   1.571843950295269000f, 1.571606796471419100f, 1.571369584864080100f,
14060     1.571132315481973200f,
14061   1.570894988333822400f, 1.570657603428353300f, 1.570420160774294000f,
14062     1.570182660380374600f,
14063   1.569945102255327200f, 1.569707486407886600f, 1.569469812846788500f,
14064     1.569232081580771900f,
14065   1.568994292618577400f, 1.568756445968948000f, 1.568518541640628400f,
14066     1.568280579642366000f,
14067   1.568042559982909500f, 1.567804482671010500f, 1.567566347715422500f,
14068     1.567328155124900800f,
14069   1.567089904908203200f, 1.566851597074089500f, 1.566613231631321500f,
14070     1.566374808588663300f,
14071   1.566136327954881000f, 1.565897789738742900f, 1.565659193949019400f,
14072     1.565420540594482800f,
14073   1.565181829683907700f, 1.564943061226071100f, 1.564704235229751500f,
14074     1.564465351703730400f,
14075   1.564226410656790000f, 1.563987412097716200f, 1.563748356035296000f,
14076     1.563509242478319000f,
14077   1.563270071435576500f, 1.563030842915862100f, 1.562791556927971800f,
14078     1.562552213480703300f,
14079   1.562312812582856500f, 1.562073354243233700f, 1.561833838470639200f,
14080     1.561594265273878800f,
14081   1.561354634661761300f, 1.561114946643096900f, 1.560875201226698900f,
14082     1.560635398421381400f,
14083   1.560395538235961800f, 1.560155620679258400f, 1.559915645760092900f,
14084     1.559675613487288200f,
14085   1.559435523869669500f, 1.559195376916064700f, 1.558955172635302800f,
14086     1.558714911036215700f,
14087   1.558474592127637100f, 1.558234215918402600f, 1.557993782417350400f,
14088     1.557753291633320500f,
14089   1.557512743575155000f, 1.557272138251698300f, 1.557031475671796400f,
14090     1.556790755844298400f,
14091   1.556549978778054300f, 1.556309144481917300f, 1.556068252964741600f,
14092     1.555827304235384500f,
14093   1.555586298302704900f, 1.555345235175563900f, 1.555104114862824600f,
14094     1.554862937373352500f,
14095   1.554621702716015000f, 1.554380410899681300f, 1.554139061933223200f,
14096     1.553897655825514600f,
14097   1.553656192585431100f, 1.553414672221850700f, 1.553173094743653300f,
14098     1.552931460159721100f,
14099   1.552689768478938500f, 1.552448019710191300f, 1.552206213862368500f,
14100     1.551964350944360100f,
14101   1.551722430965059000f, 1.551480453933359800f, 1.551238419858159700f,
14102     1.550996328748356800f,
14103   1.550754180612852900f, 1.550511975460550500f, 1.550269713300355100f,
14104     1.550027394141174000f,
14105   1.549785017991916400f, 1.549542584861493900f, 1.549300094758820000f,
14106     1.549057547692810600f,
14107   1.548814943672383300f, 1.548572282706457900f, 1.548329564803956300f,
14108     1.548086789973802700f,
14109   1.547843958224923000f, 1.547601069566245900f, 1.547358124006701400f,
14110     1.547115121555221700f,
14111   1.546872062220741700f, 1.546628946012197800f, 1.546385772938528600f,
14112     1.546142543008675300f,
14113   1.545899256231580300f, 1.545655912616188800f, 1.545412512171447700f,
14114     1.545169054906306200f,
14115   1.544925540829715600f, 1.544681969950629300f, 1.544438342278002600f,
14116     1.544194657820792800f,
14117   1.543950916587959700f, 1.543707118588464800f, 1.543463263831272000f,
14118     1.543219352325347200f,
14119   1.542975384079658300f, 1.542731359103175300f, 1.542487277404870100f,
14120     1.542243138993717000f,
14121   1.541998943878692300f, 1.541754692068774600f, 1.541510383572944000f,
14122     1.541266018400183200f,
14123   1.541021596559476700f, 1.540777118059811100f, 1.540532582910175500f,
14124     1.540287991119560600f,
14125   1.540043342696959100f, 1.539798637651366400f, 1.539553875991779300f,
14126     1.539309057727197300f,
14127   1.539064182866621400f, 1.538819251419055100f, 1.538574263393503800f,
14128     1.538329218798974800f,
14129   1.538084117644477900f, 1.537838959939025200f, 1.537593745691629500f,
14130     1.537348474911307300f,
14131   1.537103147607076200f, 1.536857763787956400f, 1.536612323462969800f,
14132     1.536366826641140800f,
14133   1.536121273331495300f, 1.535875663543061700f, 1.535629997284870400f,
14134     1.535384274565953600f,
14135   1.535138495395346400f, 1.534892659782085100f, 1.534646767735208000f,
14136     1.534400819263756400f,
14137   1.534154814376772700f, 1.533908753083302200f, 1.533662635392391700f,
14138     1.533416461313090100f,
14139   1.533170230854448400f, 1.532923944025520200f, 1.532677600835360600f,
14140     1.532431201293027000f,
14141   1.532184745407578500f, 1.531938233188077100f, 1.531691664643585900f,
14142     1.531445039783170500f,
14143   1.531198358615898800f, 1.530951621150840700f, 1.530704827397067800f,
14144     1.530457977363654000f,
14145   1.530211071059675200f, 1.529964108494209700f, 1.529717089676337500f,
14146     1.529470014615140800f,
14147   1.529222883319703700f, 1.528975695799112500f, 1.528728452062455600f,
14148     1.528481152118823700f,
14149   1.528233795977309400f, 1.527986383647006500f, 1.527738915137012400f,
14150     1.527491390456425600f,
14151   1.527243809614346600f, 1.526996172619878900f, 1.526748479482126700f,
14152     1.526500730210197200f,
14153   1.526252924813199500f, 1.526005063300244900f, 1.525757145680446200f,
14154     1.525509171962918800f,
14155   1.525261142156779900f, 1.525013056271149000f, 1.524764914315147200f,
14156     1.524516716297898300f,
14157   1.524268462228527900f, 1.524020152116163200f, 1.523771785969934000f,
14158     1.523523363798972000f,
14159   1.523274885612411200f, 1.523026351419387100f, 1.522777761229038100f,
14160     1.522529115050503600f,
14161   1.522280412892925900f, 1.522031654765448900f, 1.521782840677218700f,
14162     1.521533970637383800f,
14163   1.521285044655094300f, 1.521036062739502300f, 1.520787024899762100f,
14164     1.520537931145030400f,
14165   1.520288781484465700f, 1.520039575927228500f, 1.519790314482481100f,
14166     1.519540997159388300f,
14167   1.519291623967116600f, 1.519042194914835200f, 1.518792710011714500f,
14168     1.518543169266927600f,
14169   1.518293572689648900f, 1.518043920289055900f, 1.517794212074327500f,
14170     1.517544448054644500f,
14171   1.517294628239190400f, 1.517044752637150000f, 1.516794821257710500f,
14172     1.516544834110061600f,
14173   1.516294791203394200f, 1.516044692546901800f, 1.515794538149779700f,
14174     1.515544328021225500f,
14175   1.515294062170438700f, 1.515043740606620800f, 1.514793363338975600f,
14176     1.514542930376708600f,
14177   1.514292441729027300f, 1.514041897405141700f, 1.513791297414263800f,
14178     1.513540641765606800f,
14179   1.513289930468387300f, 1.513039163531823000f, 1.512788340965133500f,
14180     1.512537462777541200f,
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14183   1.511282237848951400f, 1.511031026129719100f, 1.510779758854195400f,
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14208     1.498399798795375000f,
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14211   1.497129081719860400f, 1.496874773131900800f, 1.496620409508134800f,
14212     1.496365990857914600f,
14213   1.496111517190594300f, 1.495856988515530400f, 1.495602404842080800f,
14214     1.495347766179606400f,
14215   1.495093072537469100f, 1.494838323925033400f, 1.494583520351665500f,
14216     1.494328661826734200f,
14217   1.494073748359609600f, 1.493818779959664300f, 1.493563756636272500f,
14218     1.493308678398810800f,
14219   1.493053545256657800f, 1.492798357219194100f, 1.492543114295801900f,
14220     1.492287816495866200f,
14221   1.492032463828773200f, 1.491777056303911700f, 1.491521593930672100f,
14222     1.491266076718446900f,
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14224     1.490243459667616600f,
14225   1.489987668401424800f, 1.489731822352645500f, 1.489475921530685900f,
14226     1.489219965944954300f,
14227   1.488963955604861500f, 1.488707890519820600f, 1.488451770699245900f,
14228     1.488195596152554800f,
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14230     1.487170350893028500f,
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14232     1.486144230769501000f,
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14234     1.485117236385612200f,
14235   1.484860351257246500f, 1.484603411534810300f, 1.484346417227750700f,
14236     1.484089368345516300f,
14237   1.483832264897558400f, 1.483575106893329600f, 1.483317894342285100f,
14238     1.483060627253882000f,
14239   1.482803305637578900f, 1.482545929502837100f, 1.482288498859119400f,
14240     1.482031013715890700f,
14241   1.481773474082618300f, 1.481515879968770900f, 1.481258231383819800f,
14242     1.481000528337237800f,
14243   1.480742770838499900f, 1.480484958897083200f, 1.480227092522466500f,
14244     1.479969171724131200f,
14245   1.479711196511560100f, 1.479453166894238100f, 1.479195082881652200f,
14246     1.478936944483291600f,
14247   1.478678751708647000f, 1.478420504567211900f, 1.478162203068481100f,
14248     1.477903847221951400f,
14249   1.477645437037121900f, 1.477386972523493800f, 1.477128453690569800f,
14250     1.476869880547855300f,
14251   1.476611253104856700f, 1.476352571371083700f, 1.476093835356046700f,
14252     1.475835045069259000f,
14253   1.475576200520235500f, 1.475317301718493300f, 1.475058348673551100f,
14254     1.474799341394929900f,
14255   1.474540279892153000f, 1.474281164174744900f, 1.474021994252233000f,
14256     1.473762770134145800f,
14257   1.473503491830014300f, 1.473244159349371700f, 1.472984772701752900f,
14258     1.472725331896694400f,
14259   1.472465836943735600f, 1.472206287852416900f, 1.471946684632281500f,
14260     1.471687027292874400f,
14261   1.471427315843742100f, 1.471167550294433700f, 1.470907730654499800f,
14262     1.470647856933493300f,
14263   1.470387929140969200f, 1.470127947286484100f, 1.469867911379596900f,
14264     1.469607821429868500f,
14265   1.469347677446861500f, 1.469087479440140300f, 1.468827227419272200f,
14266     1.468566921393825700f,
14267   1.468306561373371900f, 1.468046147367482600f, 1.467785679385733300f,
14268     1.467525157437700200f,
14269   1.467264581532962100f, 1.467003951681099800f, 1.466743267891695800f,
14270     1.466482530174334500f,
14271   1.466221738538602500f, 1.465960892994088800f, 1.465699993550383400f,
14272     1.465439040217079400f,
14273   1.465178033003770700f, 1.464916971920054100f, 1.464655856975527900f,
14274     1.464394688179792900f,
14275   1.464133465542451200f, 1.463872189073107500f, 1.463610858781367900f,
14276     1.463349474676840700f,
14277   1.463088036769136600f, 1.462826545067867700f, 1.462564999582648600f,
14278     1.462303400323095000f,
14279   1.462041747298825900f, 1.461780040519460800f, 1.461518279994622200f,
14280     1.461256465733934400f,
14281   1.460994597747023600f, 1.460732676043517800f, 1.460470700633046800f,
14282     1.460208671525243400f,
14283   1.459946588729741100f, 1.459684452256176300f, 1.459422262114186800f,
14284     1.459160018313412400f,
14285   1.458897720863495500f, 1.458635369774079500f, 1.458372965054810700f,
14286     1.458110506715337000f,
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14288     1.457060137348418000f,
14289   1.456797411052706200f, 1.456534631194717800f, 1.456271797784114900f,
14290     1.456008910830560500f,
14291   1.455745970343720800f, 1.455482976333263100f, 1.455219928808857200f,
14292     1.454956827780174100f,
14293   1.454693673256887600f, 1.454430465248673300f, 1.454167203765208000f,
14294     1.453903888816171900f,
14295   1.453640520411245900f, 1.453377098560113100f, 1.453113623272459100f,
14296     1.452850094557971000f,
14297   1.452586512426338000f, 1.452322876887251400f, 1.452059187950404100f,
14298     1.451795445625491300f,
14299   1.451531649922210200f, 1.451267800850259500f, 1.451003898419340500f,
14300     1.450739942639155800f,
14301   1.450475933519410400f, 1.450211871069811300f, 1.449947755300067500f,
14302     1.449683586219889400f,
14303   1.449419363838989800f, 1.449155088167083600f, 1.448890759213887100f,
14304     1.448626376989119400f,
14305   1.448361941502500900f, 1.448097452763754000f, 1.447832910782603100f,
14306     1.447568315568775100f,
14307   1.447303667131997900f, 1.447038965482002200f, 1.446774210628520200f,
14308     1.446509402581286400f,
14309   1.446244541350036700f, 1.445979626944509300f, 1.445714659374444500f,
14310     1.445449638649584500f,
14311   1.445184564779673500f, 1.444919437774456700f, 1.444654257643682900f,
14312     1.444389024397101600f,
14313   1.444123738044464900f, 1.443858398595526400f, 1.443593006060042100f,
14314     1.443327560447769600f,
14315   1.443062061768468400f, 1.442796510031900500f, 1.442530905247829200f,
14316     1.442265247426020200f,
14317   1.441999536576240800f, 1.441733772708260600f, 1.441467955831850800f,
14318     1.441202085956784900f,
14319   1.440936163092837900f, 1.440670187249787600f, 1.440404158437412500f,
14320     1.440138076665494100f,
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14325   1.437740959153624500f, 1.437474348324662100f, 1.437207684643876800f,
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14330     1.434805334803169100f,
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14340     1.429451491490382900f,
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14414     1.389184933705628300f,
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14422     1.384764198657857200f,
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14424     1.383656976716585600f,
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14428     1.381440091576620700f,
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14436     1.376996574534953300f,
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14448     1.370307010545495500f,
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14450     1.369189257976694200f,
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14454     1.366951337120818000f,
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14458     1.364710199696403300f,
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14460     1.363588426418702600f,
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14466     1.360218296243966200f,
14467   1.359937126742807300f, 1.359655907240648000f, 1.359374637747827700f,
14468     1.359093318274687800f,
14469   1.358811948831571500f, 1.358530529428824400f, 1.358249060076792900f,
14470     1.357967540785826300f,
14471   1.357685971566275200f, 1.357404352428492000f, 1.357122683382830900f,
14472     1.356840964439648200f,
14473   1.356559195609301700f, 1.356277376902151900f, 1.355995508328559500f,
14474     1.355713589898888800f,
14475   1.355431621623504700f, 1.355149603512774400f, 1.354867535577067200f,
14476     1.354585417826753800f,
14477   1.354303250272206500f, 1.354021032923800300f, 1.353738765791911100f,
14478     1.353456448886917200f,
14479   1.353174082219199100f, 1.352891665799137900f, 1.352609199637117500f,
14480     1.352326683743523300f,
14481   1.352044118128742600f, 1.351761502803164900f, 1.351478837777180700f,
14482     1.351196123061183100f,
14483   1.350913358665566400f, 1.350630544600727200f, 1.350347680877063800f,
14484     1.350064767504976400f,
14485   1.349781804494866600f, 1.349498791857138400f, 1.349215729602197400f,
14486     1.348932617740450600f,
14487   1.348649456282307700f, 1.348366245238179500f, 1.348082984618478800f,
14488     1.347799674433620500f,
14489   1.347516314694020800f, 1.347232905410098200f, 1.346949446592273100f,
14490     1.346665938250967100f,
14491   1.346382380396604000f, 1.346098773039609700f, 1.345815116190411300f,
14492     1.345531409859438200f,
14493   1.345247654057121700f, 1.344963848793894200f, 1.344679994080190800f,
14494     1.344396089926448000f,
14495   1.344112136343103900f, 1.343828133340598800f, 1.343544080929374800f,
14496     1.343259979119875600f,
14497   1.342975827922546600f, 1.342691627347835500f, 1.342407377406191500f,
14498     1.342123078108065700f,
14499   1.341838729463910900f, 1.341554331484181600f, 1.341269884179334700f,
14500     1.340985387559828100f,
14501   1.340700841636122400f, 1.340416246418678800f, 1.340131601917961900f,
14502     1.339846908144436600f,
14503   1.339562165108570700f, 1.339277372820833400f, 1.338992531291695500f,
14504     1.338707640531629800f,
14505   1.338422700551110900f, 1.338137711360615200f, 1.337852672970621300f,
14506     1.337567585391608900f,
14507   1.337282448634059800f, 1.336997262708457900f, 1.336712027625288600f,
14508     1.336426743395039000f,
14509   1.336141410028198500f, 1.335856027535258000f, 1.335570595926709700f,
14510     1.335285115213048500f,
14511   1.334999585404770700f, 1.334714006512374400f, 1.334428378546359500f,
14512     1.334142701517227600f,
14513   1.333856975435482300f, 1.333571200311629100f, 1.333285376156174700f,
14514     1.332999502979628700f,
14515   1.332713580792501500f, 1.332427609605305400f, 1.332141589428554900f,
14516     1.331855520272766200f,
14517   1.331569402148457400f, 1.331283235066148100f, 1.330997019036359800f,
14518     1.330710754069615700f,
14519   1.330424440176441300f, 1.330138077367363200f, 1.329851665652910500f,
14520     1.329565205043613800f,
14521   1.329278695550004700f, 1.328992137182618100f, 1.328705529951989400f,
14522     1.328418873868656900f,
14523   1.328132168943159800f, 1.327845415186039000f, 1.327558612607838500f,
14524     1.327271761219102500f,
14525   1.326984861030378000f, 1.326697912052213500f, 1.326410914295159400f,
14526     1.326123867769767500f,
14527   1.325836772486591800f, 1.325549628456188100f, 1.325262435689113600f,
14528     1.324975194195928000f,
14529   1.324687903987191900f, 1.324400565073468300f, 1.324113177465321900f,
14530     1.323825741173318700f,
14531   1.323538256208027800f, 1.323250722580018500f, 1.322963140299862500f,
14532     1.322675509378133900f,
14533   1.322387829825407700f, 1.322100101652261100f, 1.321812324869273500f,
14534     1.321524499487024800f,
14535   1.321236625516098100f, 1.320948702967077400f, 1.320660731850549000f,
14536     1.320372712177100700f,
14537   1.320084643957322400f, 1.319796527201805300f, 1.319508361921142500f,
14538     1.319220148125929100f,
14539   1.318931885826762000f, 1.318643575034239800f, 1.318355215758962900f,
14540     1.318066808011533200f,
14541   1.317778351802554800f, 1.317489847142633300f, 1.317201294042376300f,
14542     1.316912692512393300f,
14543   1.316624042563294900f, 1.316335344205694200f, 1.316046597450205800f,
14544     1.315757802307445900f,
14545   1.315468958788033000f, 1.315180066902586800f, 1.314891126661728900f,
14546     1.314602138076083300f,
14547   1.314313101156274800f, 1.314024015912930600f, 1.313734882356679900f,
14548     1.313445700498152800f,
14549   1.313156470347981900f, 1.312867191916801100f, 1.312577865215246900f,
14550     1.312288490253956900f,
14551   1.311999067043570200f, 1.311709595594728000f, 1.311420075918073900f,
14552     1.311130508024252400f,
14553   1.310840891923910100f, 1.310551227627695400f, 1.310261515146258200f,
14554     1.309971754490250700f,
14555   1.309681945670326400f, 1.309392088697140900f, 1.309102183581351200f,
14556     1.308812230333616500f,
14557   1.308522228964597500f, 1.308232179484956500f, 1.307942081905358000f,
14558     1.307651936236467800f,
14559   1.307361742488954300f, 1.307071500673486800f, 1.306781210800736200f,
14560     1.306490872881376200f,
14561   1.306200486926081700f, 1.305910052945529200f, 1.305619570950396800f,
14562     1.305329040951365100f,
14563   1.305038462959116100f, 1.304747836984333300f, 1.304457163037702200f,
14564     1.304166441129910300f,
14565   1.303875671271646400f, 1.303584853473601200f, 1.303293987746467300f,
14566     1.303003074100939100f,
14567   1.302712112547712800f, 1.302421103097485900f, 1.302130045760958100f,
14568     1.301838940548830600f,
14569   1.301547787471806900f, 1.301256586540591600f, 1.300965337765891600f,
14570     1.300674041158414800f,
14571   1.300382696728871400f, 1.300091304487973800f, 1.299799864446435200f,
14572     1.299508376614971500f,
14573   1.299216841004299200f, 1.298925257625137800f, 1.298633626488207500f,
14574     1.298341947604231300f,
14575   1.298050220983932900f, 1.297758446638038700f, 1.297466624577275900f,
14576     1.297174754812374400f,
14577   1.296882837354065100f, 1.296590872213081200f, 1.296298859400157700f,
14578     1.296006798926030200f,
14579   1.295714690801437600f, 1.295422535037119800f, 1.295130331643818500f,
14580     1.294838080632277000f,
14581   1.294545782013240900f, 1.294253435797456900f, 1.293961041995673700f,
14582     1.293668600618642000f,
14583   1.293376111677113900f, 1.293083575181843500f, 1.292790991143586200f,
14584     1.292498359573099700f,
14585   1.292205680481143500f, 1.291912953878477900f, 1.291620179775866400f,
14586     1.291327358184073200f,
14587   1.291034489113864100f, 1.290741572576007400f, 1.290448608581273000f,
14588     1.290155597140431700f,
14589   1.289862538264257700f, 1.289569431963524900f, 1.289276278249010600f,
14590     1.288983077131493000f,
14591   1.288689828621752300f, 1.288396532730570400f, 1.288103189468731400f,
14592     1.287809798847019800f,
14593   1.287516360876223500f, 1.287222875567130900f, 1.286929342930532800f,
14594     1.286635762977221800f,
14595   1.286342135717991600f, 1.286048461163638000f, 1.285754739324958900f,
14596     1.285460970212753500f,
14597   1.285167153837822900f, 1.284873290210969900f, 1.284579379342998700f,
14598     1.284285421244715900f,
14599   1.283991415926929400f, 1.283697363400448900f, 1.283403263676086100f,
14600     1.283109116764654000f,
14601   1.282814922676967400f, 1.282520681423843000f, 1.282226393016099500f,
14602     1.281932057464557000f,
14603   1.281637674780037100f, 1.281343244973363700f, 1.281048768055361900f,
14604     1.280754244036858900f,
14605   1.280459672928683500f, 1.280165054741666300f, 1.279870389486639400f,
14606     1.279575677174437100f,
14607   1.279280917815894600f, 1.278986111421849900f, 1.278691258003142000f,
14608     1.278396357570611900f,
14609   1.278101410135101800f, 1.277806415707456700f, 1.277511374298522200f,
14610     1.277216285919146500f,
14611   1.276921150580179200f, 1.276625968292471000f, 1.276330739066875400f,
14612     1.276035462914247000f,
14613   1.275740139845442400f, 1.275444769871319600f, 1.275149353002738700f,
14614     1.274853889250561200f,
14615   1.274558378625650200f, 1.274262821138871300f, 1.273967216801090900f,
14616     1.273671565623178100f,
14617   1.273375867616002300f, 1.273080122790436000f, 1.272784331157352800f,
14618     1.272488492727628100f,
14619   1.272192607512139300f, 1.271896675521764900f, 1.271600696767385400f,
14620     1.271304671259883200f,
14621   1.271008599010142500f, 1.270712480029048800f, 1.270416314327489800f,
14622     1.270120101916354600f,
14623   1.269823842806533800f, 1.269527537008920300f, 1.269231184534408200f,
14624     1.268934785393893700f,
14625   1.268638339598274500f, 1.268341847158450200f, 1.268045308085321800f,
14626     1.267748722389792100f,
14627   1.267452090082765900f, 1.267155411175149500f, 1.266858685677851000f,
14628     1.266561913601780100f,
14629   1.266265094957848000f, 1.265968229756968100f, 1.265671318010055400f,
14630     1.265374359728026500f,
14631   1.265077354921799300f, 1.264780303602294200f, 1.264483205780432700f,
14632     1.264186061467138500f,
14633   1.263888870673336400f, 1.263591633409954000f, 1.263294349687918800f,
14634     1.262997019518161700f,
14635   1.262699642911614600f, 1.262402219879211300f, 1.262104750431887000f,
14636     1.261807234580578900f,
14637   1.261509672336225600f, 1.261212063709767900f, 1.260914408712147800f,
14638     1.260616707354309500f,
14639   1.260318959647198400f, 1.260021165601761900f, 1.259723325228949000f,
14640     1.259425438539710300f,
14641   1.259127505544998600f, 1.258829526255768000f, 1.258531500682973800f,
14642     1.258233428837574300f,
14643   1.257935310730528000f, 1.257637146372796400f, 1.257338935775342200f,
14644     1.257040678949129500f,
14645   1.256742375905124400f, 1.256444026654294400f, 1.256145631207609400f,
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14647   1.255548701770560000f, 1.255250167802143000f, 1.254951587681765600f,
14648     1.254652961420405600f,
14649   1.254354289029042900f, 1.254055570518658500f, 1.253756805900235700f,
14650     1.253457995184759300f,
14651   1.253159138383215200f, 1.252860235506592100f, 1.252561286565879300f,
14652     1.252262291572068900f,
14653   1.251963250536153500f, 1.251664163469128300f, 1.251365030381989700f,
14654     1.251065851285736200f,
14655   1.250766626191367500f, 1.250467355109885500f, 1.250168038052293500f,
14656     1.249868675029596200f,
14657   1.249569266052800800f, 1.249269811132915200f, 1.248970310280950200f,
14658     1.248670763507917100f,
14659   1.248371170824829300f, 1.248071532242702100f, 1.247771847772552300f,
14660     1.247472117425398700f,
14661   1.247172341212261500f, 1.246872519144162300f, 1.246572651232124700f,
14662     1.246272737487174300f,
14663   1.245972777920338000f, 1.245672772542644400f, 1.245372721365123600f,
14664     1.245072624398807900f,
14665   1.244772481654731000f, 1.244472293143928300f, 1.244172058877436800f,
14666     1.243871778866295400f,
14667   1.243571453121544000f, 1.243271081654225400f, 1.242970664475383100f,
14668     1.242670201596062700f,
14669   1.242369693027311200f, 1.242069138780177400f, 1.241768538865712000f,
14670     1.241467893294967200f,
14671   1.241167202078996800f, 1.240866465228856100f, 1.240565682755603100f,
14672     1.240264854670295900f,
14673   1.239963980983995300f, 1.239663061707763700f, 1.239362096852665300f,
14674     1.239061086429765300f,
14675   1.238760030450130900f, 1.238458928924831600f, 1.238157781864937400f,
14676     1.237856589281521000f,
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14678     1.236651363934138300f,
14679   1.236349943899254000f, 1.236048478407316500f, 1.235746967469409900f,
14680     1.235445411096619500f,
14681   1.235143809300033300f, 1.234842162090739700f, 1.234540469479829900f,
14682     1.234238731478396000f,
14683   1.233936948097532400f, 1.233635119348334400f, 1.233333245241899200f,
14684     1.233031325789326400f,
14685   1.232729361001716500f, 1.232427350890172000f, 1.232125295465796600f,
14686     1.231823194739696300f,
14687   1.231521048722978200f, 1.231218857426751700f, 1.230916620862127400f,
14688     1.230614339040217800f,
14689   1.230312011972136500f, 1.230009639668999500f, 1.229707222141924100f,
14690     1.229404759402029400f,
14691   1.229102251460436400f, 1.228799698328266700f, 1.228497100016644900f,
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14693   1.227891767899548700f, 1.227589034116330700f, 1.227286255198173100f,
14694     1.226983431156208200f,
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14697   1.225468634479021500f, 1.225165539928084300f, 1.224862400331312400f,
14698     1.224559215699851500f,
14699   1.224255986044848500f, 1.223952711377453100f, 1.223649391708814700f,
14700     1.223346027050086400f,
14701   1.223042617412421600f, 1.222739162806975900f, 1.222435663244906700f,
14702     1.222132118737372400f,
14703   1.221828529295533800f, 1.221524894930552800f, 1.221221215653593100f,
14704     1.220917491475820500f,
14705   1.220613722408401900f, 1.220309908462505800f, 1.220006049649302800f,
14706     1.219702145979964600f,
14707   1.219398197465665400f, 1.219094204117580300f, 1.218790165946886100f,
14708     1.218486082964761500f,
14709   1.218181955182386500f, 1.217877782610943700f, 1.217573565261616000f,
14710     1.217269303145589000f,
14711   1.216964996274049400f, 1.216660644658185600f, 1.216356248309187600f,
14712     1.216051807238247800f,
14713   1.215747321456559300f, 1.215442790975316700f, 1.215138215805717300f,
14714     1.214833595958959300f,
14715   1.214528931446242600f, 1.214224222278769100f, 1.213919468467741900f,
14716     1.213614670024366000f,
14717   1.213309826959847700f, 1.213004939285395400f, 1.212700007012219100f,
14718     1.212395030151530300f,
14719   1.212090008714541600f, 1.211784942712468300f, 1.211479832156526800f,
14720     1.211174677057934800f,
14721   1.210869477427912300f, 1.210564233277680500f, 1.210258944618462200f,
14722     1.209953611461482200f,
14723   1.209648233817966600f, 1.209342811699143600f, 1.209037345116242400f,
14724     1.208731834080493800f,
14725   1.208426278603131200f, 1.208120678695388600f, 1.207815034368502100f,
14726     1.207509345633709600f,
14727   1.207203612502250300f, 1.206897834985365000f, 1.206592013094296200f,
14728     1.206286146840288300f,
14729   1.205980236234587100f, 1.205674281288440000f, 1.205368282013096200f,
14730     1.205062238419806200f,
14731   1.204756150519822300f, 1.204450018324398900f, 1.204143841844791200f,
14732     1.203837621092256800f,
14733   1.203531356078054100f, 1.203225046813444000f, 1.202918693309688300f,
14734     1.202612295578050900f,
14735   1.202305853629797500f, 1.201999367476194400f, 1.201692837128510700f,
14736     1.201386262598016500f,
14737   1.201079643895983700f, 1.200772981033685800f, 1.200466274022397900f,
14738     1.200159522873396800f,
14739   1.199852727597960700f, 1.199545888207369700f, 1.199239004712905300f,
14740     1.198932077125851100f,
14741   1.198625105457491700f, 1.198318089719113200f, 1.198011029922004400f,
14742     1.197703926077454200f,
14743   1.197396778196754700f, 1.197089586291198500f, 1.196782350372080300f,
14744     1.196475070450696100f,
14745   1.196167746538343600f, 1.195860378646322700f, 1.195552966785933900f,
14746     1.195245510968480300f,
14747   1.194938011205265900f, 1.194630467507596500f, 1.194322879886780000f,
14748     1.194015248354125100f,
14749   1.193707572920943000f, 1.193399853598545500f, 1.193092090398246900f,
14750     1.192784283331362700f,
14751   1.192476432409210100f, 1.192168537643107900f, 1.191860599044376500f,
14752     1.191552616624337800f,
14753   1.191244590394315400f, 1.190936520365635000f, 1.190628406549622900f,
14754     1.190320248957608100f,
14755   1.190012047600920200f, 1.189703802490891000f, 1.189395513638853900f,
14756     1.189087181056143900f,
14757   1.188778804754097300f, 1.188470384744052100f, 1.188161921037348400f,
14758     1.187853413645327100f,
14759   1.187544862579331500f, 1.187236267850706000f, 1.186927629470796900f,
14760     1.186618947450951600f,
14761   1.186310221802519900f, 1.186001452536852300f, 1.185692639665301600f,
14762     1.185383783199222000f,
14763   1.185074883149969100f, 1.184765939528900500f, 1.184456952347374900f,
14764     1.184147921616753200f,
14765   1.183838847348397400f, 1.183529729553671500f, 1.183220568243940300f,
14766     1.182911363430571200f,
14767   1.182602115124932900f, 1.182292823338395100f, 1.181983488082330300f,
14768     1.181674109368111300f,
14769   1.181364687207113100f, 1.181055221610712400f, 1.180745712590287400f,
14770     1.180436160157217800f,
14771   1.180126564322885100f, 1.179816925098671900f, 1.179507242495962900f,
14772     1.179197516526144600f,
14773   1.178887747200604300f, 1.178577934530731700f, 1.178268078527917200f,
14774     1.177958179203553800f,
14775   1.177648236569035300f, 1.177338250635757700f, 1.177028221415118200f,
14776     1.176718148918515700f,
14777   1.176408033157350300f, 1.176097874143024600f, 1.175787671886942000f,
14778     1.175477426400507700f,
14779   1.175167137695128900f, 1.174856805782213500f, 1.174546430673171900f,
14780     1.174236012379415600f,
14781   1.173925550912357800f, 1.173615046283413200f, 1.173304498503998400f,
14782     1.172993907585530900f,
14783   1.172683273539430800f, 1.172372596377118800f, 1.172061876110017700f,
14784     1.171751112749551900f,
14785   1.171440306307147200f, 1.171129456794231200f, 1.170818564222232800f,
14786     1.170507628602582800f,
14787   1.170196649946713100f, 1.169885628266057900f, 1.169574563572052300f,
14788     1.169263455876133200f,
14789   1.168952305189739200f, 1.168641111524310700f, 1.168329874891289400f,
14790     1.168018595302118000f,
14791   1.167707272768241800f, 1.167395907301107100f, 1.167084498912162300f,
14792     1.166773047612856400f,
14793   1.166461553414641000f, 1.166150016328968600f, 1.165838436367293800f,
14794     1.165526813541072100f,
14795   1.165215147861761400f, 1.164903439340820900f, 1.164591687989710500f,
14796     1.164279893819892800f,
14797   1.163968056842831700f, 1.163656177069992500f, 1.163344254512841800f,
14798     1.163032289182848800f,
14799   1.162720281091483000f, 1.162408230250216100f, 1.162096136670521600f,
14800     1.161784000363874000f,
14801   1.161471821341749900f, 1.161159599615627000f, 1.160847335196984800f,
14802     1.160535028097304600f,
14803   1.160222678328068700f, 1.159910285900761700f, 1.159597850826869200f,
14804     1.159285373117878500f,
14805   1.158972852785278500f, 1.158660289840559800f, 1.158347684295214300f,
14806     1.158035036160735900f,
14807   1.157722345448619400f, 1.157409612170361600f, 1.157096836337461000f,
14808     1.156784017961417500f,
14809   1.156471157053732300f, 1.156158253625908700f, 1.155845307689450800f,
14810     1.155532319255865300f,
14811   1.155219288336659400f, 1.154906214943342700f, 1.154593099087426000f,
14812     1.154279940780421400f,
14813   1.153966740033842900f, 1.153653496859206000f, 1.153340211268028000f,
14814     1.153026883271827300f,
14815   1.152713512882124400f, 1.152400100110440700f, 1.152086644968299400f,
14816     1.151773147467225300f,
14817   1.151459607618745300f, 1.151146025434387000f, 1.150832400925680100f,
14818     1.150518734104155400f,
14819   1.150205024981345800f, 1.149891273568785400f, 1.149577479878009800f,
14820     1.149263643920556800f,
14821   1.148949765707964600f, 1.148635845251773800f, 1.148321882563526400f,
14822     1.148007877654766200f,
14823   1.147693830537038100f, 1.147379741221888500f, 1.147065609720865600f,
14824     1.146751436045519300f,
14825   1.146437220207400700f, 1.146122962218062600f, 1.145808662089060000f,
14826     1.145494319831947800f,
14827   1.145179935458284100f, 1.144865508979627800f, 1.144551040407539400f,
14828     1.144236529753581000f,
14829   1.143921977029316500f, 1.143607382246310600f, 1.143292745416130600f,
14830     1.142978066550344400f,
14831   1.142663345660522000f, 1.142348582758234900f, 1.142033777855056000f,
14832     1.141718930962559500f,
14833   1.141404042092321500f, 1.141089111255919800f, 1.140774138464933700f,
14834     1.140459123730943200f,
14835   1.140144067065530700f, 1.139828968480280300f, 1.139513827986776900f,
14836     1.139198645596607400f,
14837   1.138883421321360600f, 1.138568155172625700f, 1.138252847161994400f,
14838     1.137937497301059600f,
14839   1.137622105601416000f, 1.137306672074659900f, 1.136991196732388200f,
14840     1.136675679586200500f,
14841   1.136360120647697200f, 1.136044519928480800f, 1.135728877440154800f,
14842     1.135413193194324800f,
14843   1.135097467202597100f, 1.134781699476580300f, 1.134465890027884300f,
14844     1.134150038868120500f,
14845   1.133834146008902100f, 1.133518211461843200f, 1.133202235238559800f,
14846     1.132886217350669500f,
14847   1.132570157809791500f, 1.132254056627546300f, 1.131937913815556300f,
14848     1.131621729385444900f,
14849   1.131305503348837300f, 1.130989235717360100f, 1.130672926502642100f,
14850     1.130356575716312500f,
14851   1.130040183370002900f, 1.129723749475346000f, 1.129407274043976200f,
14852     1.129090757087529500f,
14853   1.128774198617643200f, 1.128457598645956600f, 1.128140957184109700f,
14854     1.127824274243744500f,
14855   1.127507549836505000f, 1.127190783974035800f, 1.126873976667983800f,
14856     1.126557127929996800f,
14857   1.126240237771724700f, 1.125923306204818400f, 1.125606333240930700f,
14858     1.125289318891715900f,
14859   1.124972263168829500f, 1.124655166083928800f, 1.124338027648672500f,
14860     1.124020847874721100f,
14861   1.123703626773736100f, 1.123386364357381200f, 1.123069060637320600f,
14862     1.122751715625221400f,
14863   1.122434329332750800f, 1.122116901771578400f, 1.121799432953375600f,
14864     1.121481922889814300f,
14865   1.121164371592568300f, 1.120846779073313400f, 1.120529145343726500f,
14866     1.120211470415486200f,
14867   1.119893754300272300f, 1.119575997009766300f, 1.119258198555651300f,
14868     1.118940358949611900f,
14869   1.118622478203333800f, 1.118304556328505200f, 1.117986593336814700f,
14870     1.117668589239953200f,
14871   1.117350544049612300f, 1.117032457777486200f, 1.116714330435269600f,
14872     1.116396162034659600f,
14873   1.116077952587353600f, 1.115759702105052000f, 1.115441410599455500f,
14874     1.115123078082267000f,
14875   1.114804704565190500f, 1.114486290059931900f, 1.114167834578198200f,
14876     1.113849338131698300f,
14877   1.113530800732142100f, 1.113212222391241500f, 1.112893603120710000f,
14878     1.112574942932261600f,
14879   1.112256241837613000f, 1.111937499848481900f, 1.111618716976587700f,
14880     1.111299893233650600f,
14881   1.110981028631393700f, 1.110662123181539900f, 1.110343176895814500f,
14882     1.110024189785944900f,
14883   1.109705161863658600f, 1.109386093140686000f, 1.109066983628758100f,
14884     1.108747833339607200f,
14885   1.108428642284968100f, 1.108109410476576300f, 1.107790137926169200f,
14886     1.107470824645485600f,
14887   1.107151470646265300f, 1.106832075940250600f, 1.106512640539184100f,
14888     1.106193164454811100f,
14889   1.105873647698877300f, 1.105554090283131100f, 1.105234492219321100f,
14890     1.104914853519198400f,
14891   1.104595174194514800f, 1.104275454257024300f, 1.103955693718482200f,
14892     1.103635892590644900f,
14893   1.103316050885270600f, 1.102996168614119000f, 1.102676245788951400f,
14894     1.102356282421530300f,
14895   1.102036278523620000f, 1.101716234106985700f, 1.101396149183395000f,
14896     1.101076023764616400f,
14897   1.100755857862419700f, 1.100435651488577100f, 1.100115404654861100f,
14898     1.099795117373046200f,
14899   1.099474789654909100f, 1.099154421512226600f, 1.098834012956778200f,
14900     1.098513564000344300f,
14901   1.098193074654706800f, 1.097872544931649100f, 1.097551974842956500f,
14902     1.097231364400415000f,
14903   1.096910713615813200f, 1.096590022500939700f, 1.096269291067585700f,
14904     1.095948519327543800f,
14905   1.095627707292607700f, 1.095306854974572800f, 1.094985962385235800f,
14906     1.094665029536395100f,
14907   1.094344056439850600f, 1.094023043107403200f, 1.093701989550856000f,
14908     1.093380895782013000f,
14909   1.093059761812680100f, 1.092738587654664300f, 1.092417373319774200f,
14910     1.092096118819820200f,
14911   1.091774824166613600f, 1.091453489371968100f, 1.091132114447697300f,
14912     1.090810699405617900f,
14913   1.090489244257547300f, 1.090167749015304300f, 1.089846213690709900f,
14914     1.089524638295585400f,
14915   1.089203022841754400f, 1.088881367341041800f, 1.088559671805274100f,
14916     1.088237936246279100f,
14917   1.087916160675885800f, 1.087594345105925300f, 1.087272489548229700f,
14918     1.086950594014632700f,
14919   1.086628658516969500f, 1.086306683067076900f, 1.085984667676792600f,
14920     1.085662612357956500f,
14921   1.085340517122409800f, 1.085018381981994500f, 1.084696206948555300f,
14922     1.084373992033937000f,
14923   1.084051737249986900f, 1.083729442608553300f, 1.083407108121486000f,
14924     1.083084733800636200f,
14925   1.082762319657857100f, 1.082439865705002500f, 1.082117371953928300f,
14926     1.081794838416491700f,
14927   1.081472265104551200f, 1.081149652029967000f, 1.080826999204601100f,
14928     1.080504306640315500f,
14929   1.080181574348975500f, 1.079858802342446900f, 1.079535990632596800f,
14930     1.079213139231294500f,
14931   1.078890248150409700f, 1.078567317401815100f, 1.078244346997383300f,
14932     1.077921336948988600f,
14933   1.077598287268508400f, 1.077275197967819000f, 1.076952069058800400f,
14934     1.076628900553332700f,
14935   1.076305692463297900f, 1.075982444800579700f, 1.075659157577062200f,
14936     1.075335830804633000f,
14937   1.075012464495178800f, 1.074689058660589700f, 1.074365613312755900f,
14938     1.074042128463569500f,
14939   1.073718604124924500f, 1.073395040308715400f, 1.073071437026839500f,
14940     1.072747794291194300f,
14941   1.072424112113678600f, 1.072100390506194500f, 1.071776629480643500f,
14942     1.071452829048929800f,
14943   1.071128989222958500f, 1.070805110014635900f, 1.070481191435870500f,
14944     1.070157233498571600f,
14945   1.069833236214650800f, 1.069509199596019800f, 1.069185123654592600f,
14946     1.068861008402285200f,
14947   1.068536853851013600f, 1.068212660012696700f, 1.067888426899253500f,
14948     1.067564154522606000f,
14949   1.067239842894676100f, 1.066915492027387600f, 1.066591101932666800f,
14950     1.066266672622439700f,
14951   1.065942204108635300f, 1.065617696403183400f, 1.065293149518014500f,
14952     1.064968563465062100f,
14953   1.064643938256259400f, 1.064319273903543000f, 1.063994570418849400f,
14954     1.063669827814116300f,
14955   1.063345046101285000f, 1.063020225292295300f, 1.062695365399091200f,
14956     1.062370466433616400f,
14957   1.062045528407815900f, 1.061720551333637600f, 1.061395535223029500f,
14958     1.061070480087941800f,
14959   1.060745385940325500f, 1.060420252792134000f, 1.060095080655320900f,
14960     1.059769869541841800f,
14961   1.059444619463654400f, 1.059119330432716700f, 1.058794002460989000f,
14962     1.058468635560432500f,
14963   1.058143229743009600f, 1.057817785020685100f, 1.057492301405424500f,
14964     1.057166778909195000f,
14965   1.056841217543965200f, 1.056515617321704500f, 1.056189978254385100f,
14966     1.055864300353978900f,
14967   1.055538583632461100f, 1.055212828101807200f, 1.054887033773993300f,
14968     1.054561200660999200f,
14969   1.054235328774803900f, 1.053909418127389400f, 1.053583468730738200f,
14970     1.053257480596834700f,
14971   1.052931453737664600f, 1.052605388165214700f, 1.052279283891473600f,
14972     1.051953140928431100f,
14973   1.051626959288079100f, 1.051300738982409800f, 1.050974480023417500f,
14974     1.050648182423098000f,
14975   1.050321846193448000f, 1.049995471346466300f, 1.049669057894152800f,
14976     1.049342605848508200f,
14977   1.049016115221536000f, 1.048689586025239700f, 1.048363018271625300f,
14978     1.048036411972699500f,
14979   1.047709767140470500f, 1.047383083786948700f, 1.047056361924144400f,
14980     1.046729601564071200f,
14981   1.046402802718742400f, 1.046075965400174300f, 1.045749089620383200f,
14982     1.045422175391386800f,
14983   1.045095222725206200f, 1.044768231633861100f, 1.044441202129375200f,
14984     1.044114134223771900f,
14985   1.043787027929076000f, 1.043459883257315400f, 1.043132700220517300f,
14986     1.042805478830712200f,
14987   1.042478219099930400f, 1.042150921040204200f, 1.041823584663568200f,
14988     1.041496209982056600f,
14989   1.041168797007707000f, 1.040841345752557200f, 1.040513856228645800f,
14990     1.040186328448014800f,
14991   1.039858762422705600f, 1.039531158164762400f, 1.039203515686230000f,
14992     1.038875834999155100f,
14993   1.038548116115585800f, 1.038220359047570500f, 1.037892563807160800f,
14994     1.037564730406408200f,
14995   1.037236858857366600f, 1.036908949172090900f, 1.036581001362636600f,
14996     1.036253015441062700f,
14997   1.035924991419427100f, 1.035596929309791300f, 1.035268829124216700f,
14998     1.034940690874766300f,
14999   1.034612514573505700f, 1.034284300232500000f, 1.033956047863817500f,
15000     1.033627757479526700f,
15001   1.033299429091697700f, 1.032971062712402700f, 1.032642658353714300f,
15002     1.032314216027707700f,
15003   1.031985735746457900f, 1.031657217522042900f, 1.031328661366541300f,
15004     1.031000067292032300f,
15005   1.030671435310598600f, 1.030342765434322200f, 1.030014057675287900f,
15006     1.029685312045581100f,
15007   1.029356528557288300f, 1.029027707222499100f, 1.028698848053302100f,
15008     1.028369951061789600f,
15009   1.028041016260053500f, 1.027712043660187600f, 1.027383033274288400f,
15010     1.027053985114451100f,
15011   1.026724899192775300f, 1.026395775521359500f, 1.026066614112305600f,
15012     1.025737414977715200f,
15013   1.025408178129692000f, 1.025078903580341600f, 1.024749591341769700f,
15014     1.024420241426085200f,
15015   1.024090853845396800f, 1.023761428611814600f, 1.023431965737451800f,
15016     1.023102465234420700f,
15017   1.022772927114837100f, 1.022443351390816400f, 1.022113738074476300f,
15018     1.021784087177936000f,
15019   1.021454398713315600f, 1.021124672692737000f, 1.020794909128323000f,
15020     1.020465108032198300f,
15021   1.020135269416488700f, 1.019805393293321100f, 1.019475479674824900f,
15022     1.019145528573129000f,
15023   1.018815540000365800f, 1.018485513968667500f, 1.018155450490168000f,
15024     1.017825349577003300f,
15025   1.017495211241309800f, 1.017165035495226400f, 1.016834822350892300f,
15026     1.016504571820448000f,
15027   1.016174283916036800f, 1.015843958649801600f, 1.015513596033888400f,
15028     1.015183196080442900f,
15029   1.014852758801613200f, 1.014522284209548900f, 1.014191772316400000f,
15030     1.013861223134318900f,
15031   1.013530636675459100f, 1.013200012951974700f, 1.012869351976022300f,
15032     1.012538653759758900f,
15033   1.012207918315344300f, 1.011877145654937400f, 1.011546335790700600f,
15034     1.011215488734796800f,
15035   1.010884604499389800f, 1.010553683096645900f, 1.010222724538731600f,
15036     1.009891728837815700f,
15037   1.009560696006067900f, 1.009229626055658800f, 1.008898518998761800f,
15038     1.008567374847549900f,
15039   1.008236193614199000f, 1.007904975310885300f, 1.007573719949786700f,
15040     1.007242427543082900f,
15041   1.006911098102953900f, 1.006579731641582500f, 1.006248328171152100f,
15042     1.005916887703846500f,
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16182     0.179425941411650660f,
16183   0.179043989300952110f, 0.178662030607317450f, 0.178280065344791100f,
16184     0.177898093527416370f,
16185   0.177516115169236820f, 0.177134130284297610f, 0.176752138886642350f,
16186     0.176370140990316640f,
16187   0.175988136609365020f, 0.175606125757832240f, 0.175224108449764660f,
16188     0.174842084699207030f,
16189   0.174460054520206240f, 0.174078017926807490f, 0.173695974933058080f,
16190     0.173313925553004180f,
16191   0.172931869800692250f, 0.172549807690170230f, 0.172167739235484620f,
16192     0.171785664450683800f,
16193   0.171403583349815180f, 0.171021495946926340f, 0.170639402256066410f,
16194     0.170257302291283000f,
16195   0.169875196066625710f, 0.169493083596143100f, 0.169110964893883830f,
16196     0.168728839973898290f,
16197   0.168346708850235140f, 0.167964571536945220f, 0.167582428048078130f,
16198     0.167200278397683750f,
16199   0.166818122599813570f, 0.166435960668517400f, 0.166053792617847200f,
16200     0.165671618461853270f,
16201   0.165289438214587970f, 0.164907251890102520f, 0.164525059502448390f,
16202     0.164142861065678550f,
16203   0.163760656593844480f, 0.163378446100999640f, 0.162996229601196390f,
16204     0.162614007108487250f,
16205   0.162231778636926370f, 0.161849544200566300f, 0.161467303813461580f,
16206     0.161085057489665670f,
16207   0.160702805243232240f, 0.160320547088216470f, 0.159938283038672050f,
16208     0.159556013108654580f,
16209   0.159173737312218650f, 0.158791455663418930f, 0.158409168176311760f,
16210     0.158026874864951870f,
16211   0.157644575743395960f, 0.157262270825699210f, 0.156879960125918730f,
16212     0.156497643658110590f,
16213   0.156115321436331000f, 0.155732993474637760f, 0.155350659787087090f,
16214     0.154968320387737170f,
16215   0.154585975290645110f, 0.154203624509868190f, 0.153821268059465250f,
16216     0.153438905953493550f,
16217   0.153056538206012340f, 0.152674164831079730f, 0.152291785842754070f,
16218     0.151909401255095250f,
16219   0.151527011082161540f, 0.151144615338013210f, 0.150762214036709470f,
16220     0.150379807192309620f,
16221   0.149997394818874590f, 0.149614976930463660f, 0.149232553541138180f,
16222     0.148850124664957870f,
16223   0.148467690315984390f, 0.148085250508278370f, 0.147702805255900570f,
16224     0.147320354572913260f,
16225   0.146937898473377210f, 0.146555436971355090f, 0.146172970080908520f,
16226     0.145790497816099230f,
16227   0.145408020190990560f, 0.145025537219644170f, 0.144643048916123810f,
16228     0.144260555294492000f,
16229   0.143878056368811510f, 0.143495552153146630f, 0.143113042661560050f,
16230     0.142730527908116440f,
16231   0.142348007906879320f, 0.141965482671912420f, 0.141582952217280980f,
16232     0.141200416557048680f,
16233   0.140817875705281120f, 0.140435329676042390f, 0.140052778483398480f,
16234     0.139670222141414250f,
16235   0.139287660664154770f, 0.138905094065686600f, 0.138522522360074780f,
16236     0.138139945561386200f,
16237   0.137757363683686740f, 0.137374776741042340f, 0.136992184747520560f,
16238     0.136609587717187310f,
16239   0.136226985664110460f, 0.135844378602356760f, 0.135461766545993150f,
16240     0.135079149509088060f,
16241   0.134696527505708320f, 0.134313900549922760f, 0.133931268655799020f,
16242     0.133548631837404950f,
16243   0.133165990108809860f, 0.132783343484081580f, 0.132400691977289760f,
16244     0.132018035602502530f,
16245   0.131635374373789940f, 0.131252708305220960f, 0.130870037410864640f,
16246     0.130487361704791580f,
16247   0.130104681201070800f, 0.129721995913773260f, 0.129339305856968730f,
16248     0.128956611044727220f,
16249   0.128573911491120210f, 0.128191207210217570f, 0.127808498216091110f,
16250     0.127425784522811530f,
16251   0.127043066144449680f, 0.126660343095077900f, 0.126277615388766920f,
16252     0.125894883039589430f,
16253   0.125512146061616980f, 0.125129404468921260f, 0.124746658275575490f,
16254     0.124363907495651240f,
16255   0.123981152143222060f, 0.123598392232359880f, 0.123215627777138580f,
16256     0.122832858791630880f,
16257   0.122450085289909640f, 0.122067307286049230f, 0.121684524794122440f,
16258     0.121301737828203960f,
16259   0.120918946402367330f, 0.120536150530686250f, 0.120153350227235940f,
16260     0.119770545506089950f,
16261   0.119387736381323830f, 0.119004922867011920f, 0.118622104977228730f,
16262     0.118239282726050290f,
16263   0.117856456127550970f, 0.117473625195807100f, 0.117090789944893860f,
16264     0.116707950388886520f,
16265   0.116325106541861910f, 0.115942258417895240f, 0.115559406031063570f,
16266     0.115176549395442460f,
16267   0.114793688525109290f, 0.114410823434140360f, 0.114027954136612060f,
16268     0.113645080646602280f,
16269   0.113262202978187320f, 0.112879321145445350f, 0.112496435162453430f,
16270     0.112113545043288730f,
16271   0.111730650802029900f, 0.111347752452754000f, 0.110964850009539970f,
16272     0.110581943486465610f,
16273   0.110199032897608850f, 0.109816118257049110f, 0.109433199578864170f,
16274     0.109050276877133770f,
16275   0.108667350165936400f, 0.108284419459350770f, 0.107901484771457020f,
16276     0.107518546116333660f,
16277   0.107135603508061170f, 0.106752656960718350f, 0.106369706488385940f,
16278     0.105986752105143480f,
16279   0.105603793825070680f, 0.105220831662248700f, 0.104837865630757090f,
16280     0.104454895744677270f,
16281   0.104071922018089540f, 0.103688944465074300f, 0.103305963099713400f,
16282     0.102922977936087120f,
16283   0.102539988988277600f, 0.102156996270365800f, 0.101773999796432830f,
16284     0.101390999580561250f,
16285   0.101007995636832020f, 0.100624987979327970f, 0.100241976622130760f,
16286     0.099858961579322170f,
16287   0.099475942864985456f, 0.099092920493202258f, 0.098709894478056073f,
16288     0.098326864833628791f,
16289   0.097943831574004214f, 0.097560794713264939f, 0.097177754265493674f,
16290     0.096794710244774623f,
16291   0.096411662665190329f, 0.096028611540825232f, 0.095645556885762609f,
16292     0.095262498714085819f,
16293   0.094879437039879722f, 0.094496371877227495f, 0.094113303240214247f,
16294     0.093730231142923864f,
16295   0.093347155599440373f, 0.092964076623849271f, 0.092580994230234359f,
16296     0.092197908432681386f,
16297   0.091814819245274432f, 0.091431726682099479f, 0.091048630757241303f,
16298     0.090665531484784803f,
16299   0.090282428878816323f, 0.089899322953420582f, 0.089516213722684160f,
16300     0.089133101200692441f,
16301   0.088749985401530951f, 0.088366866339286629f, 0.087983744028044805f,
16302     0.087600618481892656f,
16303   0.087217489714916191f, 0.086834357741201490f, 0.086451222574836131f,
16304     0.086068084229906014f,
16305   0.085684942720498897f, 0.085301798060701386f, 0.084918650264600160f,
16306     0.084535499346283349f,
16307   0.084152345319837438f, 0.083769188199350780f, 0.083386027998910095f,
16308     0.083002864732603973f,
16309   0.082619698414519799f, 0.082236529058745025f, 0.081853356679368619f,
16310     0.081470181290477811f,
16311   0.081087002906161790f, 0.080703821540508452f, 0.080320637207605849f,
16312     0.079937449921543474f,
16313   0.079554259696409127f, 0.079171066546292510f, 0.078787870485282088f,
16314     0.078404671527466441f,
16315   0.078021469686935602f, 0.077638264977777913f, 0.077255057414083589f,
16316     0.076871847009941652f,
16317   0.076488633779441206f, 0.076105417736672773f, 0.075722198895725248f,
16318     0.075338977270689375f,
16319   0.074955752875654230f, 0.074572525724710764f, 0.074189295831948693f,
16320     0.073806063211457842f,
16321   0.073422827877329483f, 0.073039589843653177f, 0.072656349124520389f,
16322     0.072273105734021334f,
16323   0.071889859686246352f, 0.071506610995287156f, 0.071123359675233852f,
16324     0.070740105740178361f,
16325   0.070356849204211397f, 0.069973590081423773f, 0.069590328385907715f,
16326     0.069207064131753759f,
16327   0.068823797333054326f, 0.068440528003900616f, 0.068057256158383886f,
16328     0.067673981810596848f,
16329   0.067290704974630494f, 0.066907425664577733f, 0.066524143894529736f,
16330     0.066140859678579578f,
16331   0.065757573030819083f, 0.065374283965340146f, 0.064990992496236119f,
16332     0.064607698637598646f,
16333   0.064224402403521202f, 0.063841103808096086f, 0.063457802865415636f,
16334     0.063074499589573618f,
16335   0.062691193994662109f, 0.062307886094775049f, 0.061924575904005130f,
16336     0.061541263436445129f,
16337   0.061157948706189229f, 0.060774631727329942f, 0.060391312513961619f,
16338     0.060007991080177375f,
16339   0.059624667440070382f, 0.059241341607735261f, 0.058858013597264912f,
16340     0.058474683422754095f,
16341   0.058091351098295878f, 0.057708016637985186f, 0.057324680055915692f,
16342     0.056941341366181127f,
16343   0.056558000582876661f, 0.056174657720095743f, 0.055791312791933681f,
16344     0.055407965812484541f,
16345   0.055024616795842439f, 0.054641265756102911f, 0.054257912707359794f,
16346     0.053874557663708772f,
16347   0.053491200639244271f, 0.053107841648060788f, 0.052724480704254229f,
16348     0.052341117821918783f,
16349   0.051957753015150501f, 0.051574386298044173f, 0.051191017684694640f,
16350     0.050807647189198162f,
16351   0.050424274825649297f, 0.050040900608144430f, 0.049657524550778251f,
16352     0.049274146667647289f,
16353   0.048890766972846805f, 0.048507385480472134f, 0.048124002204620014f,
16354     0.047740617159385448f,
16355   0.047357230358865306f, 0.046973841817155179f, 0.046590451548350717f,
16356     0.046207059566548990f,
16357   0.045823665885845313f, 0.045440270520336883f, 0.045056873484119603f,
16358     0.044673474791289434f,
16359   0.044290074455943754f, 0.043906672492178188f, 0.043523268914090238f,
16360     0.043139863735776100f,
16361   0.042756456971332048f, 0.042373048634855741f, 0.041989638740443119f,
16362     0.041606227302191955f,
16363   0.041222814334198304f, 0.040839399850560058f, 0.040455983865373815f,
16364     0.040072566392736257f,
16365   0.039689147446745419f, 0.039305727041497644f, 0.038922305191091085f,
16366     0.038538881909622631f,
16367   0.038155457211189216f, 0.037772031109889144f, 0.037388603619819022f,
16368     0.037005174755077273f,
16369   0.036621744529761024f, 0.036238312957967478f, 0.035854880053795196f,
16370     0.035471445831341021f,
16371   0.035088010304703626f, 0.034704573487980395f, 0.034321135395268765f,
16372     0.033937696040667535f,
16373   0.033554255438273790f, 0.033170813602186440f, 0.032787370546502645f,
16374     0.032403926285321405f,
16375   0.032020480832740429f, 0.031637034202857461f, 0.031253586409771626f,
16376     0.030870137467580314f,
16377   0.030486687390382738f, 0.030103236192276818f, 0.029719783887360508f,
16378     0.029336330489733147f,
16379   0.028952876013492331f, 0.028569420472737472f, 0.028185963881566689f,
16380     0.027802506254078142f,
16381   0.027419047604371360f, 0.027035587946544135f, 0.026652127294696067f,
16382     0.026268665662925468f,
16383   0.025885203065330677f, 0.025501739516011413f, 0.025118275029065638f,
16384     0.024734809618593138f,
16385   0.024351343298691951f, 0.023967876083461924f, 0.023584407987001611f,
16386     0.023200939023409587f,
16387   0.022817469206785804f, 0.022433998551228459f, 0.022050527070837558f,
16388     0.021667054779711814f,
16389   0.021283581691949955f, 0.020900107821652084f, 0.020516633182916549f,
16390     0.020133157789843505f,
16391   0.019749681656531803f, 0.019366204797080316f, 0.018982727225589285f,
16392     0.018599248956157190f,
16393   0.018215770002884327f, 0.017832290379869671f, 0.017448810101212228f,
16394     0.017065329181012358f,
16395   0.016681847633368677f, 0.016298365472381587f, 0.015914882712149747f,
16396     0.015531399366773606f,
16397   0.015147915450352307f, 0.014764430976985016f, 0.014380945960772247f,
16398     0.013997460415812761f,
16399   0.013613974356207112f, 0.013230487796054543f, 0.012847000749454314f,
16400     0.012463513230507034f,
16401   0.012080025253311559f, 0.011696536831968529f, 0.011313047980577277f,
16402     0.010929558713237145f,
16403   0.010546069044048827f, 0.010162578987111254f, 0.009779088556525145f,
16404     0.009395597766389905f,
16405   0.009012106630804949f, 0.008628615163871038f, 0.008245123379687167f,
16406     0.007861631292354124f,
16407   0.007478138915970929f, 0.007094646264638386f, 0.006711153352455981f,
16408     0.006327660193523208f,
16409   0.005944166801940901f, 0.005560673191808128f, 0.005177179377225743f,
16410     0.004793685372293270f,
16411   0.004410191191110246f, 0.004026696847777542f, 0.003643202356394263f,
16412     0.003259707731061291f,
16413   0.002876212985878184f, 0.002492718134944503f, 0.002109223192361147f,
16414     0.001725728172227238f,
16415   0.001342233088643682f, 0.000958737955710053f, 0.000575242787525925f,
16416     0.000191747598192208f
16417 };
16418 
16419 /**
16420  * @} end of DCT4_IDCT4_Table group
16421  */
16422 
16423 /**
16424  * @addtogroup DCT4_IDCT4
16425  * @{
16426  */
16427 
16428 /**
16429  * @brief  Initialization function for the floating-point DCT4/IDCT4.
16430  * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.
16431  * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.
16432  * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.
16433  * @param[in]     N          length of the DCT4.
16434  * @param[in]     Nby2       half of the length of the DCT4.
16435  * @param[in]     normalize  normalizing factor.
16436  * @return        arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.
16437  * \par Normalizing factor:
16438  * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.
16439  * Floating-point normalizing factors are mentioned in the table below for different DCT sizes:
16440  * \image html dct4NormalizingF32Table.gif
16441  */
16442 
16443 arm_status arm_dct4_init_f32(
16444   arm_dct4_instance_f32 * S,
16445   arm_rfft_instance_f32 * S_RFFT,
16446   arm_cfft_radix4_instance_f32 * S_CFFT,
16447   uint16_t N,
16448   uint16_t Nby2,
16449   float32_t normalize)
16450 {
16451   /*  Initialize the default arm status */
16452   arm_status status = ARM_MATH_SUCCESS;
16453 
16454   /* Initializing the pointer array with the weight table base addresses of different lengths */
16455   float32_t *twiddlePtr[4] =
16456     { (float32_t *) Weights_128 , (float32_t *) Weights_512,
16457     (float32_t *) Weights_2048, (float32_t *) Weights_8192
16458   };
16459 
16460   /* Initializing the pointer array with the cos factor table base addresses of different lengths */
16461   float32_t *pCosFactor[4] =
16462     { (float32_t *) cos_factors_128 , (float32_t *) cos_factors_512,
16463     (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192
16464   };
16465 
16466   /* Initialize the DCT4 length */
16467   S->N = N;
16468 
16469   /* Initialize the half of DCT4 length */
16470   S->Nby2 = Nby2;
16471 
16472   /* Initialize the DCT4 Normalizing factor */
16473   S->normalize = normalize;
16474 
16475   /* Initialize Real FFT Instance */
16476   S->pRfft = S_RFFT;
16477 
16478   /* Initialize Complex FFT Instance */
16479   S->pCfft = S_CFFT;
16480 
16481   switch (N)
16482   {
16483     /* Initialize the table modifier values */
16484   case 8192U:
16485     S->pTwiddle = twiddlePtr[3];
16486     S->pCosFactor = pCosFactor[3];
16487     break;
16488   case 2048U:
16489     S->pTwiddle = twiddlePtr[2];
16490     S->pCosFactor = pCosFactor[2];
16491     break;
16492   case 512U:
16493     S->pTwiddle = twiddlePtr[1];
16494     S->pCosFactor = pCosFactor[1];
16495     break;
16496   case 128U:
16497     S->pTwiddle = twiddlePtr[0];
16498     S->pCosFactor = pCosFactor[0];
16499     break;
16500   default:
16501     status = ARM_MATH_ARGUMENT_ERROR;
16502   }
16503 
16504   /* Initialize the RFFT/RIFFT */
16505   arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0U, 1U);
16506 
16507   /* return the status of DCT4 Init function */
16508   return (status);
16509 }
16510 
16511 /**
16512  * @} end of DCT4_IDCT4 group
16513  */
16514