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Restoring authorship annotation for <vitamin-ca@yandex-team.ru>. Commit 2 of 2.

vitamin-ca 3 years ago
parent
commit
1fc0bdffa1

+ 89 - 89
library/cpp/hyperloglog/hyperloglog.cpp

@@ -1,55 +1,55 @@
 #include "hyperloglog.h"
- 
-#include <util/generic/bitops.h> 
-#include <util/generic/yexception.h> 
-#include <util/stream/output.h> 
- 
-#include <algorithm> 
-#include <array> 
-#include <cmath> 
-#include <functional> 
- 
-namespace { 
-    using TLookup = std::array<double, 256>; 
- 
-    struct TCorrection { 
-        TLookup Estimations; 
-        TLookup Biases; 
- 
-        double GetBias(double e) const { 
-            for (size_t idx = 0;; ++idx) { 
-                const auto estr = Estimations[idx]; 
-                if (estr >= e) { 
-                    if (idx == 0) { 
-                        return Biases[0]; 
-                    } 
-                    const auto estl = Estimations[idx - 1]; 
-                    const auto biasl = Biases[idx - 1]; 
-                    const auto biasr = Biases[idx]; 
-                    const auto de = estr - estl; 
-                    const auto db = biasr - biasl; 
-                    const auto scale = e - estl; 
-                    return biasl + scale * db / de; 
-                } else if (std::fabs(estr) < 1e-4) { 
-                    //limiter 
-                    return Biases[idx - 1]; 
-                } 
-            } 
-        } 
-    }; 
- 
-    double EstimateBias(double e, unsigned precision) { 
+
+#include <util/generic/bitops.h>
+#include <util/generic/yexception.h>
+#include <util/stream/output.h>
+
+#include <algorithm>
+#include <array>
+#include <cmath>
+#include <functional>
+
+namespace {
+    using TLookup = std::array<double, 256>;
+
+    struct TCorrection {
+        TLookup Estimations;
+        TLookup Biases;
+
+        double GetBias(double e) const {
+            for (size_t idx = 0;; ++idx) {
+                const auto estr = Estimations[idx];
+                if (estr >= e) {
+                    if (idx == 0) {
+                        return Biases[0];
+                    }
+                    const auto estl = Estimations[idx - 1];
+                    const auto biasl = Biases[idx - 1];
+                    const auto biasr = Biases[idx];
+                    const auto de = estr - estl;
+                    const auto db = biasr - biasl;
+                    const auto scale = e - estl;
+                    return biasl + scale * db / de;
+                } else if (std::fabs(estr) < 1e-4) {
+                    //limiter
+                    return Biases[idx - 1];
+                }
+            }
+        }
+    };
+
+    double EstimateBias(double e, unsigned precision) {
         static const TCorrection CORRECTIONS[1 + THyperLogLog::PRECISION_MAX - THyperLogLog::PRECISION_MIN] = {
 #include "hyperloglog_corrections.inc"
-        }; 
+        };
         if (precision < THyperLogLog::PRECISION_MIN || precision > THyperLogLog::PRECISION_MAX) {
-            return 0.; 
-        } 
- 
+            return 0.;
+        }
+
         return CORRECTIONS[precision - THyperLogLog::PRECISION_MIN].GetBias(e);
-    } 
- 
-    double GetThreshold(unsigned precision) { 
+    }
+
+    double GetThreshold(unsigned precision) {
         static const double THRESHOLD_DATA[1 + THyperLogLog::PRECISION_MAX - THyperLogLog::PRECISION_MIN] = {
             10,     // Precision  4
             20,     // Precision  5
@@ -66,16 +66,16 @@ namespace {
             50000,  // Precision 16
             120000, // Precision 17
             350000  // Precision 18
-        }; 
+        };
         if (precision < THyperLogLog::PRECISION_MIN || precision > THyperLogLog::PRECISION_MAX) {
-            return 0.; 
-        } 
- 
+            return 0.;
+        }
+
         return THRESHOLD_DATA[precision - THyperLogLog::PRECISION_MIN];
-    } 
- 
-    double EmpiricAlpha(size_t m) { 
-        switch (m) { 
+    }
+
+    double EmpiricAlpha(size_t m) {
+        switch (m) {
             case 16:
                 return 0.673;
             case 32:
@@ -84,54 +84,54 @@ namespace {
                 return 0.709;
             default:
                 return 0.7213 / (1.0 + 1.079 / m);
-        } 
-    } 
- 
+        }
+    }
+
     double RawEstimate(const ui8* counts, size_t size) {
-        double sum = {}; 
+        double sum = {};
         for (size_t i = 0; i < size; ++i) {
             sum += std::pow(2.0, -counts[i]);
-        } 
+        }
         return EmpiricAlpha(size) * size * size / sum;
-    } 
- 
-    double LinearCounting(size_t registers, size_t zeroed) { 
-        return std::log(double(registers) / zeroed) * registers; 
-    } 
-} 
- 
+    }
+
+    double LinearCounting(size_t registers, size_t zeroed) {
+        return std::log(double(registers) / zeroed) * registers;
+    }
+}
+
 THyperLogLogBase::THyperLogLogBase(unsigned precision)
     : Precision(precision) {
-    Y_ENSURE(precision >= PRECISION_MIN && precision <= PRECISION_MAX); 
-} 
- 
+    Y_ENSURE(precision >= PRECISION_MIN && precision <= PRECISION_MAX);
+}
+
 void THyperLogLogBase::Update(ui64 hash) {
-    const unsigned subHashBits = 8 * sizeof(hash) - Precision; 
-    const auto subHash = hash & MaskLowerBits(subHashBits); 
-    const auto leadingZeroes = subHash ? (subHashBits - GetValueBitCount(subHash)) : subHashBits; 
+    const unsigned subHashBits = 8 * sizeof(hash) - Precision;
+    const auto subHash = hash & MaskLowerBits(subHashBits);
+    const auto leadingZeroes = subHash ? (subHashBits - GetValueBitCount(subHash)) : subHashBits;
     const ui8 weight = static_cast<ui8>(leadingZeroes + 1);
- 
-    const size_t reg = static_cast<size_t>(hash >> subHashBits); 
+
+    const size_t reg = static_cast<size_t>(hash >> subHashBits);
     RegistersRef[reg] = std::max(RegistersRef[reg], weight);
-} 
- 
+}
+
 void THyperLogLogBase::Merge(const THyperLogLogBase& rh) {
-    Y_ENSURE(Precision == rh.Precision); 
- 
+    Y_ENSURE(Precision == rh.Precision);
+
     std::transform(RegistersRef.begin(), RegistersRef.end(), rh.RegistersRef.begin(), RegistersRef.begin(), [](ui8 l, ui8 r) { return std::max(l, r); });
-} 
- 
+}
+
 ui64 THyperLogLogBase::Estimate() const {
     const auto m = RegistersRef.size();
     const auto e = RawEstimate(RegistersRef.data(), m);
- 
-    const auto e_ = e <= 5 * m ? (e - EstimateBias(e, Precision)) : e; 
+
+    const auto e_ = e <= 5 * m ? (e - EstimateBias(e, Precision)) : e;
     const auto v = std::count(RegistersRef.begin(), RegistersRef.end(), ui8(0));
-    const auto h = v != 0 ? LinearCounting(m, v) : e_; 
-    return h <= GetThreshold(Precision) ? h : e_; 
-} 
- 
+    const auto h = v != 0 ? LinearCounting(m, v) : e_;
+    return h <= GetThreshold(Precision) ? h : e_;
+}
+
 void THyperLogLogBase::Save(IOutputStream& out) const {
-    out.Write(static_cast<char>(Precision)); 
+    out.Write(static_cast<char>(Precision));
     out.Write(RegistersRef.data(), RegistersRef.size() * sizeof(RegistersRef.front()));
-} 
+}

+ 25 - 25
library/cpp/hyperloglog/hyperloglog.h

@@ -1,30 +1,30 @@
-#pragma once 
- 
-#include <util/system/types.h> 
+#pragma once
+
+#include <util/system/types.h>
 #include <util/stream/input.h>
 #include <util/generic/array_ref.h>
- 
-#include <vector> 
- 
-class IOutputStream; 
- 
+
+#include <vector>
+
+class IOutputStream;
+
 class THyperLogLogBase {
 protected:
     explicit THyperLogLogBase(unsigned precision);
- 
-public: 
-    static const constexpr unsigned PRECISION_MIN = 4; 
-
-    static const constexpr unsigned PRECISION_MAX = 18; 
- 
-    void Update(ui64 hash); 
- 
+
+public:
+    static const constexpr unsigned PRECISION_MIN = 4;
+
+    static const constexpr unsigned PRECISION_MAX = 18;
+
+    void Update(ui64 hash);
+
     void Merge(const THyperLogLogBase& rh);
- 
-    ui64 Estimate() const; 
- 
-    void Save(IOutputStream& out) const; 
- 
+
+    ui64 Estimate() const;
+
+    void Save(IOutputStream& out) const;
+
 protected:
     unsigned Precision;
 
@@ -38,8 +38,8 @@ private:
         : THyperLogLogBase(precision) {
         Registers.resize(1u << precision);
         RegistersRef = MakeArrayRef(Registers);
-    } 
- 
+    }
+
 public:
     THyperLogLogWithAlloc(THyperLogLogWithAlloc&&) = default;
 
@@ -57,8 +57,8 @@ public:
         return res;
     }
 
-private: 
+private:
     std::vector<ui8, Alloc> Registers;
-}; 
+};
 
 using THyperLogLog = THyperLogLogWithAlloc<std::allocator<ui8>>;

+ 1220 - 1220
library/cpp/hyperloglog/hyperloglog_corrections.inc

@@ -1,1220 +1,1220 @@
-// Precision 4 
-{ 
-    {{ 
-        11.000000, 11.717000, 12.207000, 12.789600, 13.288200, 13.820400, 
-        14.377200, 14.934200, 15.520200, 16.161000, 16.772200, 17.463600, 
-        18.039600, 18.676600, 19.356600, 20.045400, 20.793600, 21.485600, 
-        22.266600, 22.994600, 23.766000, 24.469200, 25.363800, 26.076400, 
-        26.786400, 27.760200, 28.481400, 29.433000, 30.292600, 31.066400, 
-        31.999600, 32.795600, 33.536600, 34.589400, 35.573800, 36.269800, 
-        37.368200, 38.054400, 39.234200, 40.010800, 40.796600, 41.929800, 
-        42.870400, 43.635800, 44.519400, 45.773000, 46.677200, 47.617400, 
-        48.488800, 49.330400, 50.250600, 51.499600, 52.382400, 53.307800, 
-        54.398400, 55.583800, 56.661800, 57.217400, 58.351400, 59.080200, 
-        60.148200, 61.037600, 62.359800, 62.807800, 63.974400, 64.914000, 
-        65.781000, 67.180600, 68.059400, 68.844600, 69.792800, 70.824800, 
-        71.832400, 72.859800, 73.624600, 74.701400, 75.393000, 76.670800, 
-        77.239400 
-    }}, 
-    {{ 
-        10.000000, 9.717000,  9.207000,  8.789600,  8.288200,  7.820400, 
-        7.377200,  6.934200,  6.520200,  6.161000,  5.772200,  5.463600, 
-        5.039600,  4.676600,  4.356600,  4.045400,  3.793600,  3.485600, 
-        3.266600,  2.994600,  2.766000,  2.469200,  2.363800,  2.076400, 
-        1.786400,  1.760200,  1.481400,  1.433000,  1.292600,  1.066400, 
-        0.999600,  0.795600,  0.536600,  0.589400,  0.573800,  0.269800, 
-        0.368200,  0.054400,  0.234200,  0.010800,  -0.203400, -0.070200, 
-        -0.129600, -0.364200, -0.480600, -0.227000, -0.322800, -0.382600, 
-        -0.511200, -0.669600, -0.749400, -0.500400, -0.617600, -0.692200, 
-        -0.601600, -0.416200, -0.338200, -0.782600, -0.648600, -0.919800, 
-        -0.851800, -0.962400, -0.640200, -1.192200, -1.025600, -1.086000, 
-        -1.219000, -0.819400, -0.940600, -1.155400, -1.207200, -1.175200, 
-        -1.167600, -1.140200, -1.375400, -1.298600, -1.607000, -1.329200, 
-        -1.760600 
-    }} 
-}, 
- 
-// Precision 5 
-{ 
-    {{ 
-        23.000000,  23.119400,  23.820800,  24.231800,  24.770000,  25.243600, 
-        25.777400,  26.284800,  26.822400,  27.374200,  27.933600,  28.503000, 
-        29.049400,  29.629200,  30.212400,  30.798000,  31.367000,  31.972800, 
-        32.594400,  33.217000,  33.843800,  34.369600,  35.095600,  35.704400, 
-        36.324000,  37.066800,  37.669800,  38.364400,  39.049000,  39.691800, 
-        40.414600,  41.082000,  41.687000,  42.539800,  43.246200,  43.857000, 
-        44.660600,  45.416800,  46.124800,  46.922200,  47.680400,  48.447000, 
-        49.345400,  49.959400,  50.763600,  51.577600,  52.331000,  53.190000, 
-        53.967600,  54.756400,  55.531400,  56.444200,  57.370800,  57.977400, 
-        58.962400,  59.879600,  60.755000,  61.472000,  62.207600,  63.102400, 
-        63.890800,  64.733800,  65.772800,  66.629000,  67.413000,  68.326600, 
-        69.152400,  70.264200,  71.180600,  72.056600,  72.919200,  73.759800, 
-        74.351600,  75.580200,  76.438600,  77.491600,  78.152400,  79.189200, 
-        79.841400,  80.879800,  81.837600,  82.469800,  83.765600,  84.331000, 
-        85.591400,  86.601200,  87.701600,  88.558200,  89.339400,  90.354400, 
-        91.491200,  92.308000,  93.355200,  93.974600,  95.205200,  95.727000, 
-        97.132200,  98.394400,  98.758800,  100.242000, 101.191400, 102.253800, 
-        102.877600, 103.629200, 105.193200, 105.915200, 107.086800, 107.672800, 
-        108.714400, 110.311400, 110.871600, 111.245000, 112.790800, 113.706400, 
-        114.636000, 115.746400, 116.178800, 117.746400, 118.489600, 119.616600, 
-        120.508200, 121.779800, 122.902800, 123.442600, 124.885400, 125.705000, 
-        126.465200, 128.346200, 128.346400, 130.039800, 131.004200, 131.034200, 
-        132.476600, 133.511000, 134.725200, 135.425000, 136.517200, 138.057200, 
-        138.669400, 139.371200, 140.859800, 141.459400, 142.554000, 143.400600, 
-        144.737400, 146.163400, 146.899400, 147.605000, 147.930400, 149.163600, 
-        150.246800, 151.587600, 152.209600, 153.703200, 154.714600, 155.807000, 
-        156.922800, 157.037200, 158.585200 
-    }}, 
-    {{ 
-        22.000000, 21.119400, 20.820800, 20.231800, 19.770000, 19.243600, 
-        18.777400, 18.284800, 17.822400, 17.374200, 16.933600, 16.503000, 
-        16.049400, 15.629200, 15.212400, 14.798000, 14.367000, 13.972800, 
-        13.594400, 13.217000, 12.843800, 12.369600, 12.095600, 11.704400, 
-        11.324000, 11.066800, 10.669800, 10.364400, 10.049000, 9.691800, 
-        9.414600,  9.082000,  8.687000,  8.539800,  8.246200,  7.857000, 
-        7.660600,  7.416800,  7.124800,  6.922200,  6.680400,  6.447000, 
-        6.345400,  5.959400,  5.763600,  5.577600,  5.331000,  5.190000, 
-        4.967600,  4.756400,  4.531400,  4.444200,  4.370800,  3.977400, 
-        3.962400,  3.879600,  3.755000,  3.472000,  3.207600,  3.102400, 
-        2.890800,  2.733800,  2.772800,  2.629000,  2.413000,  2.326600, 
-        2.152400,  2.264200,  2.180600,  2.056600,  1.919200,  1.759800, 
-        1.351600,  1.580200,  1.438600,  1.491600,  1.152400,  1.189200, 
-        0.841400,  0.879800,  0.837600,  0.469800,  0.765600,  0.331000, 
-        0.591400,  0.601200,  0.701600,  0.558200,  0.339400,  0.354400, 
-        0.491200,  0.308000,  0.355200,  -0.025400, 0.205200,  -0.273000, 
-        0.132200,  0.394400,  -0.241200, 0.242000,  0.191400,  0.253800, 
-        -0.122400, -0.370800, 0.193200,  -0.084800, 0.086800,  -0.327200, 
-        -0.285600, 0.311400,  -0.128400, -0.755000, -0.209200, -0.293600, 
-        -0.364000, -0.253600, -0.821200, -0.253600, -0.510400, -0.383400, 
-        -0.491800, -0.220200, -0.097200, -0.557400, -0.114600, -0.295000, 
-        -0.534800, -0.653800, 0.346400,  0.039800,  -0.995800, 0.034200, 
-        -0.523400, -0.489000, -0.274800, -0.575000, -0.482800, 0.057200, 
-        -0.330600, -0.628800, -0.140200, -0.540600, -0.446000, -0.599400, 
-        -0.262600, 0.163400,  -0.100600, -0.395000, -1.069600, -0.836400, 
-        -0.753200, -0.412400, -0.790400, -0.296800, -0.285400, -0.193000, 
-        -0.077200, -0.962800, -0.414800 
-    }} 
-}, 
- 
-// Precision 6 
-{ 
-    {{ 
-        46.000000,  46.190200,  47.271000,  47.835800,  48.814200,  49.285400, 
-        50.317000,  51.354000,  51.892400,  52.943600,  53.459600,  54.526200, 
-        55.624800,  56.157400,  57.282200,  57.837000,  58.963600,  60.074000, 
-        60.704200,  61.797600,  62.477200,  63.656400,  64.794200,  65.500400, 
-        66.686000,  67.291000,  68.567200,  69.855600,  70.498200,  71.820400, 
-        72.425200,  73.774400,  75.078600,  75.834400,  77.029400,  77.809800, 
-        79.079400,  80.573200,  81.187800,  82.564800,  83.290200,  84.678400, 
-        85.335200,  86.894600,  88.371200,  89.085200,  90.499000,  91.268600, 
-        92.684400,  94.223400,  94.973200,  96.335600,  97.228600,  98.726200, 
-        100.328400, 101.104800, 102.596200, 103.356200, 105.127200, 106.418400, 
-        107.497400, 109.082200, 109.856000, 111.480000, 113.283400, 114.020800, 
-        115.637000, 116.517400, 118.057600, 119.747600, 120.427000, 122.132600, 
-        123.237200, 125.278800, 126.677600, 127.792600, 129.195200, 129.956400, 
-        131.645400, 133.870000, 134.542800, 136.200000, 137.029400, 138.627800, 
-        139.678200, 141.792000, 143.351600, 144.283200, 146.039400, 147.074800, 
-        148.491200, 150.849000, 151.696000, 153.540400, 154.073000, 156.371400, 
-        157.721600, 158.732800, 160.420800, 161.418400, 163.942400, 165.277200, 
-        166.411000, 168.130800, 168.769000, 170.925800, 172.682800, 173.750200, 
-        175.706000, 176.388600, 179.018600, 180.451800, 181.927000, 183.417200, 
-        184.411400, 186.033000, 188.512400, 189.556400, 191.600800, 192.417200, 
-        193.804400, 194.997000, 197.454800, 198.894800, 200.234600, 202.308600, 
-        203.154800, 204.884200, 206.650800, 206.677200, 209.725400, 210.475200, 
-        212.722800, 214.661400, 215.167600, 217.793000, 218.000600, 219.905200, 
-        221.660000, 223.558800, 225.163600, 225.688200, 227.712600, 229.450200, 
-        231.197800, 232.975600, 233.165400, 236.727000, 237.747400, 238.197400, 
-        241.134600, 242.304800, 244.194800, 245.313400, 246.879000, 249.120400, 
-        249.853000, 252.679200, 253.857000, 254.448600, 257.236200, 257.953400, 
-        260.028600, 260.563200, 262.663000, 264.723000, 265.756600, 267.162400, 
-        267.256600, 270.620000, 272.821600, 273.216600, 275.205600, 276.220200, 
-        278.372600, 280.334400, 281.928400, 283.972800, 284.192400, 286.487200, 
-        287.587000, 289.807000, 291.120600, 292.769000, 294.870800, 296.665000, 
-        297.118200, 299.401200, 300.635200, 302.135400, 304.175600, 306.160600, 
-        307.346200, 308.521400, 309.413400, 310.835200, 313.968400, 315.837000, 
-        316.779600, 318.985800 
-    }}, 
-    {{ 
-        45.000000, 44.190200, 43.271000, 42.835800, 41.814200, 41.285400, 
-        40.317000, 39.354000, 38.892400, 37.943600, 37.459600, 36.526200, 
-        35.624800, 35.157400, 34.282200, 33.837000, 32.963600, 32.074000, 
-        31.704200, 30.797600, 30.477200, 29.656400, 28.794200, 28.500400, 
-        27.686000, 27.291000, 26.567200, 25.855600, 25.498200, 24.820400, 
-        24.425200, 23.774400, 23.078600, 22.834400, 22.029400, 21.809800, 
-        21.079400, 20.573200, 20.187800, 19.564800, 19.290200, 18.678400, 
-        18.335200, 17.894600, 17.371200, 17.085200, 16.499000, 16.268600, 
-        15.684400, 15.223400, 14.973200, 14.335600, 14.228600, 13.726200, 
-        13.328400, 13.104800, 12.596200, 12.356200, 12.127200, 11.418400, 
-        11.497400, 11.082200, 10.856000, 10.480000, 10.283400, 10.020800, 
-        9.637000,  9.517400,  9.057600,  8.747600,  8.427000,  8.132600, 
-        8.237200,  8.278800,  7.677600,  7.792600,  7.195200,  6.956400, 
-        6.645400,  6.870000,  6.542800,  6.200000,  6.029400,  5.627800, 
-        5.678200,  5.792000,  5.351600,  5.283200,  5.039400,  5.074800, 
-        4.491200,  4.849000,  4.696000,  4.540400,  4.073000,  4.371400, 
-        3.721600,  3.732800,  3.420800,  3.418400,  3.942400,  3.277200, 
-        3.411000,  3.130800,  2.769000,  2.925800,  2.682800,  2.750200, 
-        2.706000,  2.388600,  3.018600,  2.451800,  2.927000,  2.417200, 
-        2.411400,  2.033000,  2.512400,  2.556400,  2.600800,  2.417200, 
-        1.804400,  1.997000,  2.454800,  1.894800,  2.234600,  2.308600, 
-        2.154800,  1.884200,  1.650800,  0.677200,  1.725400,  1.475200, 
-        1.722800,  1.661400,  1.167600,  1.793000,  1.000600,  0.905200, 
-        0.660000,  1.558800,  1.163600,  0.688200,  0.712600,  0.450200, 
-        1.197800,  0.975600,  0.165400,  1.727000,  -0.252600, 1.197400, 
-        1.134600,  1.304800,  1.194800,  0.313400,  0.879000,  1.120400, 
-        0.853000,  1.679200,  0.857000,  0.448600,  1.236200,  0.953400, 
-        1.028600,  0.563200,  0.663000,  0.723000,  0.756600,  -0.837600, 
-        0.256600,  0.620000,  0.821600,  0.216600,  0.205600,  0.220200, 
-        0.372600,  0.334400,  0.928400,  0.972800,  0.192400,  0.487200, 
-        -0.413000, 0.807000,  0.120600,  0.769000,  0.870800,  0.665000, 
-        0.118200,  0.401200,  0.635200,  0.135400,  0.175600,  1.160600, 
-        0.346200,  0.521400,  -0.586600, -1.164800, 0.968400,  0.837000, 
-        0.779600,  0.985800 
-    }} 
-}, 
- 
-// Precision 7 
-{ 
-    {{ 
-        92.000000,  93.493400,  94.975800,  96.457400,  97.971800,  99.495400, 
-        101.530200, 103.075600, 104.637400, 106.178200, 107.788800, 109.952200, 
-        111.592000, 113.253200, 114.908600, 116.593800, 118.947400, 120.679600, 
-        122.439400, 124.217600, 125.976800, 128.421400, 130.252800, 132.010200, 
-        133.865800, 135.727800, 138.304400, 140.131600, 142.093000, 144.003200, 
-        145.909200, 148.630600, 150.529400, 152.575600, 154.650800, 156.662000, 
-        159.552000, 161.372400, 163.617000, 165.575400, 167.787200, 169.844400, 
-        172.798800, 174.860600, 177.211800, 179.356600, 181.447600, 184.588200, 
-        186.681600, 189.082400, 191.025800, 193.604800, 196.443600, 198.727400, 
-        200.957000, 203.147000, 205.436400, 208.759200, 211.338600, 213.781000, 
-        215.802800, 218.656000, 221.654400, 223.996000, 226.471800, 229.154400, 
-        231.609800, 234.595600, 237.061600, 239.575800, 242.487800, 244.524400, 
-        248.214600, 250.724000, 252.872200, 255.519800, 258.041400, 261.941000, 
-        264.904800, 266.870000, 269.430400, 272.028000, 274.470800, 278.370000, 
-        281.062400, 283.466800, 286.553200, 289.435200, 293.256400, 295.274400, 
-        298.211800, 300.747200, 304.145600, 307.292800, 309.750400, 312.552800, 
-        315.979000, 318.210200, 322.183400, 324.349400, 327.325000, 330.661400, 
-        332.903000, 337.254400, 339.904200, 343.215000, 345.286400, 348.081400, 
-        352.676400, 355.301000, 357.139000, 360.658000, 363.173200, 366.590200, 
-        369.953800, 373.082800, 375.922000, 378.990200, 382.732800, 386.453800, 
-        388.113600, 391.223400, 394.087800, 396.708000, 401.155600, 404.185200, 
-        406.637200, 409.682200, 412.779600, 416.607800, 418.491600, 422.131000, 
-        424.537600, 428.198800, 432.211000, 434.450200, 438.528200, 440.912000, 
-        444.044800, 447.743200, 450.852400, 453.798800, 456.785800, 458.886800, 
-        463.988600, 466.506400, 468.912400, 472.661600, 475.468200, 478.582000, 
-        481.304000, 485.273800, 488.689400, 490.329000, 496.106000, 497.690800, 
-        501.137400, 504.532200, 506.884800, 510.332400, 513.451200, 516.179000, 
-        520.441200, 522.606600, 526.167000, 528.779400, 533.379000, 536.067000, 
-        538.460000, 542.911600, 545.692000, 547.954600, 552.493000, 555.272200, 
-        557.335000, 562.449000, 564.201400, 569.073800, 571.097400, 574.856400, 
-        578.299600, 581.409000, 583.970400, 585.809800, 589.652800, 594.599800, 
-        595.958000, 600.068000, 603.327800, 608.201600, 609.963200, 612.864000, 
-        615.430000, 620.779400, 621.272000, 625.864400, 629.206000, 633.219000, 
-        634.515400, 638.610200 
-    }}, 
-    {{ 
-        91.000000, 89.493400, 87.975800, 86.457400, 84.971800, 83.495400, 
-        81.530200, 80.075600, 78.637400, 77.178200, 75.788800, 73.952200, 
-        72.592000, 71.253200, 69.908600, 68.593800, 66.947400, 65.679600, 
-        64.439400, 63.217600, 61.976800, 60.421400, 59.252800, 58.010200, 
-        56.865800, 55.727800, 54.304400, 53.131600, 52.093000, 51.003200, 
-        49.909200, 48.630600, 47.529400, 46.575600, 45.650800, 44.662000, 
-        43.552000, 42.372400, 41.617000, 40.575400, 39.787200, 38.844400, 
-        37.798800, 36.860600, 36.211800, 35.356600, 34.447600, 33.588200, 
-        32.681600, 32.082400, 31.025800, 30.604800, 29.443600, 28.727400, 
-        27.957000, 27.147000, 26.436400, 25.759200, 25.338600, 24.781000, 
-        23.802800, 23.656000, 22.654400, 21.996000, 21.471800, 21.154400, 
-        20.609800, 19.595600, 19.061600, 18.575800, 18.487800, 17.524400, 
-        17.214600, 16.724000, 15.872200, 15.519800, 15.041400, 14.941000, 
-        14.904800, 13.870000, 13.430400, 13.028000, 12.470800, 12.370000, 
-        12.062400, 11.466800, 11.553200, 11.435200, 11.256400, 10.274400, 
-        10.211800, 9.747200,  10.145600, 9.292800,  8.750400,  8.552800, 
-        8.979000,  8.210200,  8.183400,  7.349400,  7.325000,  7.661400, 
-        6.903000,  7.254400,  6.904200,  7.215000,  6.286400,  6.081400, 
-        6.676400,  6.301000,  5.139000,  5.658000,  5.173200,  4.590200, 
-        4.953800,  5.082800,  4.922000,  4.990200,  4.732800,  5.453800, 
-        4.113600,  4.223400,  4.087800,  3.708000,  4.155600,  4.185200, 
-        3.637200,  3.682200,  3.779600,  3.607800,  2.491600,  3.131000, 
-        2.537600,  3.198800,  3.211000,  2.450200,  3.528200,  2.912000, 
-        3.044800,  2.743200,  2.852400,  2.798800,  2.785800,  1.886800, 
-        2.988600,  2.506400,  1.912400,  2.661600,  2.468200,  1.582000, 
-        1.304000,  2.273800,  2.689400,  1.329000,  3.106000,  1.690800, 
-        2.137400,  2.532200,  1.884800,  1.332400,  1.451200,  1.179000, 
-        2.441200,  1.606600,  2.167000,  0.779400,  2.379000,  2.067000, 
-        1.460000,  2.911600,  1.692000,  0.954600,  2.493000,  2.272200, 
-        1.335000,  2.449000,  1.201400,  3.073800,  2.097400,  2.856400, 
-        2.299600,  2.409000,  1.970400,  0.809800,  1.652800,  2.599800, 
-        0.958000,  2.068000,  2.327800,  4.201600,  1.963200,  1.864000, 
-        1.430000,  3.779400,  1.272000,  1.864400,  2.206000,  3.219000, 
-        1.515400,  2.610200 
-    }} 
-}, 
- 
-// Precision 8 
-{ 
-    {{ 
-        184.215200,  187.245400,  190.209600,  193.665200,  196.631200, 
-        199.682200,  203.249000,  206.329600,  210.003800,  213.207400, 
-        216.461200,  220.270000,  223.517800,  227.441200,  230.803200, 
-        234.163400,  238.168800,  241.607400,  245.694600,  249.266400, 
-        252.822800,  257.043200,  260.682400,  264.946400,  268.626800, 
-        272.262600,  276.837600,  280.403400,  284.895600,  288.852200, 
-        292.763800,  297.355200,  301.355600,  305.752600,  309.929200, 
-        313.895400,  318.819800,  322.766800,  327.298000,  331.668800, 
-        335.946600,  340.974600,  345.167200,  349.347400,  354.302800, 
-        358.891200,  364.114000,  368.464600,  372.974400,  378.409200, 
-        382.602200,  387.843000,  392.568400,  397.165200,  402.542600, 
-        407.415200,  412.538800,  417.359200,  422.136600,  427.486000, 
-        432.391800,  437.507600,  442.509000,  447.383400,  453.349800, 
-        458.066800,  463.734600,  469.122800,  473.452800,  479.700000, 
-        484.644000,  491.051800,  495.577400,  500.906800,  506.432000, 
-        512.166600,  517.434000,  522.664400,  527.489400,  533.631200, 
-        538.380400,  544.292000,  550.549600,  556.023400,  562.820600, 
-        566.614600,  572.418800,  579.117000,  583.676200,  590.657600, 
-        595.786400,  601.509000,  607.533400,  612.920400,  619.772000, 
-        624.292400,  630.865400,  636.183600,  642.745000,  649.131600, 
-        655.038600,  660.013600,  666.634200,  671.619600,  678.186600, 
-        684.428200,  689.332400,  695.479400,  702.503800,  708.129000, 
-        713.528000,  720.320400,  726.463000,  732.792800,  739.123000, 
-        744.741800,  751.219200,  756.510200,  762.606600,  769.018400, 
-        775.222400,  781.401400,  787.761800,  794.143600,  798.650600, 
-        805.637800,  811.766000,  819.751400,  824.577600,  828.732200, 
-        837.804800,  843.630200,  849.933600,  854.479800,  861.338800, 
-        867.989400,  873.819600,  880.313600,  886.230800,  892.458800, 
-        899.081600,  905.407600,  912.006400,  917.387800,  923.619000, 
-        929.998000,  937.348200,  943.950600,  947.991000,  955.114400, 
-        962.203000,  968.822200,  975.732400,  981.782600,  988.766600, 
-        994.264800,  1000.312800, 1007.408200, 1013.753600, 1020.337600, 
-        1026.715600, 1031.747800, 1037.429200, 1045.393000, 1051.227800, 
-        1058.343400, 1062.872600, 1071.884000, 1076.806000, 1082.917600, 
-        1089.167800, 1095.503200, 1102.525000, 1107.226400, 1115.315000, 
-        1120.930000, 1127.252000, 1134.149600, 1139.040800, 1147.544800, 
-        1153.329600, 1158.197400, 1166.526200, 1174.332800, 1175.657000, 
-        1184.422200, 1190.917200, 1197.129200, 1204.460600, 1210.457800, 
-        1218.872800, 1225.333600, 1226.659200, 1236.576800, 1241.363000, 
-        1249.407400, 1254.656600, 1260.801400, 1266.545400, 1274.519200 
-    }}, 
-    {{ 
-        183.215200, 180.245400, 177.209600, 173.665200, 170.631200, 167.682200, 
-        164.249000, 161.329600, 158.003800, 155.207400, 152.461200, 149.270000, 
-        146.517800, 143.441200, 140.803200, 138.163400, 135.168800, 132.607400, 
-        129.694600, 127.266400, 124.822800, 122.043200, 119.682400, 116.946400, 
-        114.626800, 112.262600, 109.837600, 107.403400, 104.895600, 102.852200, 
-        100.763800, 98.355200,  96.355600,  93.752600,  91.929200,  89.895400, 
-        87.819800,  85.766800,  83.298000,  81.668800,  79.946600,  77.974600, 
-        76.167200,  74.347400,  72.302800,  70.891200,  69.114000,  67.464600, 
-        65.974400,  64.409200,  62.602200,  60.843000,  59.568400,  58.165200, 
-        56.542600,  55.415200,  53.538800,  52.359200,  51.136600,  49.486000, 
-        48.391800,  46.507600,  45.509000,  44.383400,  43.349800,  42.066800, 
-        40.734600,  40.122800,  38.452800,  37.700000,  36.644000,  36.051800, 
-        34.577400,  33.906800,  32.432000,  32.166600,  30.434000,  29.664400, 
-        28.489400,  27.631200,  26.380400,  26.292000,  25.549600,  25.023400, 
-        24.820600,  22.614600,  22.418800,  22.117000,  20.676200,  20.657600, 
-        19.786400,  19.509000,  18.533400,  17.920400,  17.772000,  16.292400, 
-        16.865400,  15.183600,  15.745000,  15.131600,  15.038600,  14.013600, 
-        13.634200,  12.619600,  12.186600,  12.428200,  11.332400,  10.479400, 
-        11.503800,  10.129000,  9.528000,   10.320400,  9.463000,   9.792800, 
-        9.123000,   8.741800,   9.219200,   7.510200,   7.606600,   7.018400, 
-        7.222400,   7.401400,   6.761800,   7.143600,   5.650600,   5.637800, 
-        5.766000,   6.751400,   5.577600,   3.732200,   5.804800,   5.630200, 
-        4.933600,   3.479800,   4.338800,   3.989400,   3.819600,   3.313600, 
-        3.230800,   3.458800,   3.081600,   3.407600,   3.006400,   2.387800, 
-        2.619000,   1.998000,   3.348200,   2.950600,   0.991000,   2.114400, 
-        2.203000,   2.822200,   2.732400,   2.782600,   3.766600,   2.264800, 
-        2.312800,   2.408200,   2.753600,   3.337600,   2.715600,   1.747800, 
-        1.429200,   2.393000,   2.227800,   2.343400,   0.872600,   3.884000, 
-        1.806000,   1.917600,   1.167800,   1.503200,   2.525000,   0.226400, 
-        2.315000,   0.930000,   1.252000,   2.149600,   0.040800,   2.544800, 
-        1.329600,   0.197400,   2.526200,   3.332800,   -1.343000,  0.422200, 
-        0.917200,   1.129200,   1.460600,   1.457800,   2.872800,   3.333600, 
-        -1.340800,  1.576800,   0.363000,   1.407400,   0.656600,   0.801400, 
-        -0.454600,  1.519200 
-    }} 
-}, 
- 
-// Precision 9 
-{ 
-    {{ 
-        369.000000,  374.829400,  381.245200,  387.669800,  394.146400, 
-        400.202400,  406.878200,  413.659800,  420.462000,  427.282600, 
-        433.710200,  440.741600,  447.936600,  455.104600,  462.285000, 
-        469.066800,  476.306000,  483.844800,  491.301000,  498.988600, 
-        506.242200,  513.813800,  521.707400,  529.742800,  537.840200, 
-        545.166400,  553.353400,  561.594000,  569.688600,  577.787600, 
-        585.650000,  594.228000,  602.803600,  611.166600,  620.081800, 
-        628.082400,  637.257400,  646.302000,  655.164400,  664.005600, 
-        672.380200,  681.719200,  690.523400,  700.208400,  708.831000, 
-        718.485000,  728.111200,  737.476400,  746.760000,  756.336800, 
-        766.553800,  775.505800,  785.264600,  795.590200,  804.381800, 
-        814.899800,  824.953200,  835.206200,  845.279800,  854.472800, 
-        864.958200,  875.329200,  886.171000,  896.781000,  906.571600, 
-        916.704800,  927.532200,  937.875000,  949.397200,  958.346400, 
-        969.727400,  980.283400,  992.144400,  1003.426400, 1013.016600, 
-        1024.018000, 1035.043800, 1046.340000, 1057.685600, 1068.983600, 
-        1079.031200, 1091.677000, 1102.318800, 1113.484600, 1124.442400, 
-        1135.739000, 1147.148800, 1158.920200, 1169.406000, 1181.534200, 
-        1193.283400, 1203.895400, 1216.328600, 1226.214600, 1239.668400, 
-        1251.994600, 1262.123000, 1275.433800, 1285.737800, 1296.076000, 
-        1308.969200, 1320.496400, 1333.099800, 1343.986400, 1357.775400, 
-        1368.320800, 1380.483800, 1392.738800, 1406.075800, 1416.909800, 
-        1428.972800, 1440.922800, 1453.929200, 1462.617000, 1476.050000, 
-        1490.299600, 1500.612800, 1513.739200, 1524.517400, 1536.632200, 
-        1548.258400, 1562.376600, 1572.423000, 1587.123200, 1596.516400, 
-        1610.593800, 1622.597200, 1633.122200, 1647.767400, 1658.504400, 
-        1671.570000, 1683.704400, 1695.414200, 1708.710200, 1720.609400, 
-        1732.652200, 1747.841000, 1756.407200, 1769.978600, 1782.327600, 
-        1797.521600, 1808.318600, 1819.069400, 1834.354000, 1844.575000, 
-        1856.280800, 1871.128800, 1880.785200, 1893.962200, 1906.341800, 
-        1920.654800, 1932.930200, 1945.858400, 1955.473000, 1968.824800, 
-        1980.644600, 1995.959800, 2008.349000, 2019.855600, 2033.033400, 
-        2044.020600, 2059.395600, 2069.917400, 2082.608400, 2093.703600, 
-        2106.610800, 2118.912400, 2132.301000, 2144.762800, 2159.842200, 
-        2171.021200, 2183.101000, 2193.511200, 2208.052000, 2221.319400, 
-        2233.328200, 2247.295000, 2257.722200, 2273.342000, 2286.563800, 
-        2299.678600, 2310.811400, 2322.331200, 2335.516000, 2349.874000, 
-        2363.596800, 2373.865000, 2387.191800, 2401.832800, 2414.849600, 
-        2424.544000, 2436.759200, 2447.168200, 2464.195800, 2474.343800, 
-        2489.000600, 2497.452600, 2513.658600, 2527.190000, 2540.702800, 
-        2553.768000 
-    }}, 
-    {{ 
-        368.000000, 361.829400, 355.245200, 348.669800, 342.146400, 336.202400, 
-        329.878200, 323.659800, 317.462000, 311.282600, 305.710200, 299.741600, 
-        293.936600, 288.104600, 282.285000, 277.066800, 271.306000, 265.844800, 
-        260.301000, 254.988600, 250.242200, 244.813800, 239.707400, 234.742800, 
-        229.840200, 225.166400, 220.353400, 215.594000, 210.688600, 205.787600, 
-        201.650000, 197.228000, 192.803600, 188.166600, 184.081800, 180.082400, 
-        176.257400, 172.302000, 168.164400, 164.005600, 160.380200, 156.719200, 
-        152.523400, 149.208400, 145.831000, 142.485000, 139.111200, 135.476400, 
-        131.760000, 129.336800, 126.553800, 122.505800, 119.264600, 116.590200, 
-        113.381800, 110.899800, 107.953200, 105.206200, 102.279800, 99.472800, 
-        96.958200,  94.329200,  92.171000,  89.781000,  87.571600,  84.704800, 
-        82.532200,  79.875000,  78.397200,  75.346400,  73.727400,  71.283400, 
-        70.144400,  68.426400,  66.016600,  64.018000,  62.043800,  60.340000, 
-        58.685600,  57.983600,  55.031200,  54.677000,  52.318800,  51.484600, 
-        49.442400,  47.739000,  46.148800,  44.920200,  43.406000,  42.534200, 
-        41.283400,  38.895400,  38.328600,  36.214600,  36.668400,  35.994600, 
-        33.123000,  33.433800,  31.737800,  29.076000,  28.969200,  27.496400, 
-        27.099800,  25.986400,  26.775400,  24.320800,  23.483800,  22.738800, 
-        24.075800,  21.909800,  20.972800,  19.922800,  19.929200,  16.617000, 
-        17.050000,  18.299600,  15.612800,  15.739200,  14.517400,  13.632200, 
-        12.258400,  13.376600,  11.423000,  13.123200,  9.516400,   10.593800, 
-        9.597200,   8.122200,   9.767400,   7.504400,   7.570000,   6.704400, 
-        6.414200,   6.710200,   5.609400,   4.652200,   6.841000,   3.407200, 
-        3.978600,   3.327600,   5.521600,   3.318600,   2.069400,   4.354000, 
-        1.575000,   0.280800,   2.128800,   -0.214800,  -0.037800,  -0.658200, 
-        0.654800,   -0.069800,  0.858400,   -2.527000,  -2.175200,  -3.355400, 
-        -1.040200,  -0.651000,  -2.144400,  -1.966600,  -3.979400,  -0.604400, 
-        -3.082600,  -3.391600,  -5.296400,  -5.389200,  -5.087600,  -4.699000, 
-        -5.237200,  -3.157800,  -4.978800,  -4.899000,  -7.488800,  -5.948000, 
-        -5.680600,  -6.671800,  -4.705000,  -7.277800,  -4.658000,  -4.436200, 
-        -4.321400,  -5.188600,  -6.668800,  -6.484000,  -5.126000,  -4.403200, 
-        -6.135000,  -5.808200,  -4.167200,  -4.150400,  -7.456000,  -7.240800, 
-        -9.831800,  -5.804200,  -8.656200,  -6.999400,  -10.547400, -7.341400, 
-        -6.810000,  -6.297200,  -6.232000 
-    }} 
-}, 
- 
-// Precision 10 
-{ 
-    {{ 
-        738.125600,  750.423400,  763.106400,  775.473200,  788.463600, 
-        801.064400,  814.488000,  827.965400,  841.083200,  854.786400, 
-        868.199200,  882.217600,  896.522800,  910.171600,  924.775200, 
-        938.899000,  953.612600,  968.649200,  982.947400,  998.521400, 
-        1013.106400, 1028.636400, 1044.246800, 1059.458800, 1075.383200, 
-        1091.058400, 1106.860600, 1123.386800, 1139.506200, 1156.186200, 
-        1172.463000, 1189.339000, 1206.193600, 1223.129200, 1240.185400, 
-        1257.290800, 1275.332400, 1292.851800, 1310.520400, 1328.485400, 
-        1345.931800, 1364.552000, 1381.465800, 1400.425600, 1419.849000, 
-        1438.152000, 1456.895600, 1474.879200, 1494.118000, 1513.620000, 
-        1532.513200, 1551.932200, 1570.772600, 1590.608600, 1610.533200, 
-        1630.591800, 1650.429400, 1669.766200, 1690.410600, 1710.733800, 
-        1730.901200, 1750.448600, 1770.155600, 1791.633800, 1812.731200, 
-        1833.626400, 1853.952600, 1874.874200, 1896.832600, 1918.196600, 
-        1939.559400, 1961.070000, 1983.037000, 2003.180400, 2026.071000, 
-        2047.488400, 2070.084800, 2091.294400, 2114.333000, 2135.962600, 
-        2158.290200, 2181.081400, 2202.033400, 2224.483200, 2246.390000, 
-        2269.720200, 2292.171400, 2314.235800, 2338.934600, 2360.891000, 
-        2384.026400, 2408.383400, 2430.154400, 2454.868400, 2476.989600, 
-        2501.436800, 2522.870200, 2548.040800, 2570.673800, 2593.520800, 
-        2617.015800, 2640.230200, 2664.096200, 2687.498600, 2714.258800, 
-        2735.391400, 2759.624400, 2781.837800, 2808.007200, 2830.651600, 
-        2856.245400, 2877.213600, 2903.454600, 2926.785000, 2951.229400, 
-        2976.468000, 3000.867000, 3023.650800, 3049.910000, 3073.598400, 
-        3098.162000, 3121.556400, 3146.232800, 3170.948400, 3195.590200, 
-        3221.334600, 3242.703200, 3271.611200, 3296.554600, 3317.737600, 
-        3345.072000, 3369.951800, 3394.326000, 3418.181800, 3444.692600, 
-        3469.086000, 3494.275400, 3517.869800, 3544.248000, 3565.376800, 
-        3588.723400, 3616.979000, 3643.750400, 3668.681200, 3695.720000, 
-        3719.739200, 3742.622400, 3770.445600, 3795.660200, 3819.905800, 
-        3844.002000, 3869.517000, 3895.682400, 3920.862200, 3947.136400, 
-        3973.985000, 3995.477200, 4021.620000, 4046.628000, 4074.650000, 
-        4096.225600, 4121.831000, 4146.640600, 4173.276000, 4195.074400, 
-        4223.969600, 4251.370800, 4272.996600, 4300.804600, 4326.302000, 
-        4353.124800, 4374.312000, 4403.032200, 4426.819000, 4450.059800, 
-        4478.520600, 4504.811600, 4528.892800, 4553.958400, 4578.871200, 
-        4603.838400, 4632.387200, 4655.512800, 4675.821000, 4704.622200, 
-        4731.986200, 4755.417400, 4781.262800, 4804.332000, 4832.304800, 
-        4862.875200, 4883.414800, 4906.954400, 4935.351600, 4954.353200, 
-        4984.024800, 5011.217000, 5035.325800, 5057.367200, 5084.182800 
-    }}, 
-    {{ 
-        737.125600, 724.423400, 711.106400, 698.473200, 685.463600, 673.064400, 
-        660.488000, 647.965400, 636.083200, 623.786400, 612.199200, 600.217600, 
-        588.522800, 577.171600, 565.775200, 554.899000, 543.612600, 532.649200, 
-        521.947400, 511.521400, 501.106400, 490.636400, 480.246800, 470.458800, 
-        460.383200, 451.058400, 440.860600, 431.386800, 422.506200, 413.186200, 
-        404.463000, 395.339000, 386.193600, 378.129200, 369.185400, 361.290800, 
-        353.332400, 344.851800, 337.520400, 329.485400, 321.931800, 314.552000, 
-        306.465800, 299.425600, 292.849000, 286.152000, 278.895600, 271.879200, 
-        265.118000, 258.620000, 252.513200, 245.932200, 239.772600, 233.608600, 
-        227.533200, 222.591800, 216.429400, 210.766200, 205.410600, 199.733800, 
-        194.901200, 188.448600, 183.155600, 178.633800, 173.731200, 169.626400, 
-        163.952600, 159.874200, 155.832600, 151.196600, 147.559400, 143.070000, 
-        140.037000, 134.180400, 131.071000, 127.488400, 124.084800, 120.294400, 
-        117.333000, 112.962600, 110.290200, 107.081400, 103.033400, 99.483200, 
-        96.390000,  93.720200,  90.171400,  87.235800,  85.934600,  82.891000, 
-        80.026400,  78.383400,  75.154400,  73.868400,  70.989600,  69.436800, 
-        64.870200,  65.040800,  61.673800,  59.520800,  57.015800,  54.230200, 
-        53.096200,  50.498600,  52.258800,  47.391400,  45.624400,  42.837800, 
-        43.007200,  40.651600,  40.245400,  35.213600,  36.454600,  33.785000, 
-        33.229400,  32.468000,  30.867000,  28.650800,  28.910000,  27.598400, 
-        26.162000,  24.556400,  23.232800,  21.948400,  21.590200,  21.334600, 
-        17.703200,  20.611200,  19.554600,  15.737600,  17.072000,  16.951800, 
-        15.326000,  13.181800,  14.692600,  13.086000,  13.275400,  10.869800, 
-        11.248000,  7.376800,   4.723400,   7.979000,   8.750400,   7.681200, 
-        9.720000,   7.739200,   5.622400,   7.445600,   6.660200,   5.905800, 
-        4.002000,   4.517000,   4.682400,   3.862200,   5.136400,   5.985000, 
-        2.477200,   2.620000,   1.628000,   4.650000,   0.225600,   0.831000, 
-        -0.359400,  1.276000,   -2.925600,  -0.030400,  2.370800,   -2.003400, 
-        0.804600,   0.302000,   1.124800,   -2.688000,  0.032200,   -1.181000, 
-        -3.940200,  -1.479400,  -0.188400,  -2.107200,  -2.041600,  -3.128800, 
-        -4.161600,  -0.612800,  -3.487200,  -8.179000,  -5.377800,  -4.013800, 
-        -5.582600,  -5.737200,  -7.668000,  -5.695200,  -1.124800,  -5.585200, 
-        -8.045600,  -4.648400,  -11.646800, -7.975200,  -5.783000,  -7.674200, 
-        -10.632800, -9.817200 
-    }} 
-}, 
- 
-// Precision 11 
-{ 
-    {{ 
-        1477.000000, 1501.601400,  1526.580200,  1551.794200,  1577.304200, 
-        1603.206200, 1629.840200,  1656.229200,  1682.946200,  1709.992600, 
-        1737.302600, 1765.425200,  1793.057800,  1821.609200,  1849.626000, 
-        1878.556800, 1908.527000,  1937.515400,  1967.187400,  1997.387800, 
-        2027.370000, 2058.197200,  2089.572800,  2120.101200,  2151.966800, 
-        2183.292000, 2216.077200,  2247.857800,  2280.656200,  2313.041000, 
-        2345.714000, 2380.311200,  2414.180600,  2447.985400,  2481.656000, 
-        2516.346000, 2551.515400,  2586.837800,  2621.744800,  2656.672200, 
-        2693.572200, 2729.146200,  2765.412400,  2802.872800,  2838.898000, 
-        2876.408000, 2913.492600,  2951.493800,  2989.677600,  3026.282000, 
-        3065.770400, 3104.101200,  3143.738800,  3181.687600,  3221.187200, 
-        3261.504800, 3300.021400,  3339.806000,  3381.409000,  3421.414400, 
-        3461.429400, 3502.228600,  3544.651000,  3586.615600,  3627.337000, 
-        3670.083000, 3711.153800,  3753.509400,  3797.010000,  3838.668600, 
-        3882.167800, 3922.811600,  3967.997800,  4009.920400,  4054.328600, 
-        4097.570600, 4140.601400,  4185.544000,  4229.597600,  4274.583000, 
-        4316.943800, 4361.672000,  4406.278600,  4451.862800,  4496.183400, 
-        4543.505000, 4589.181600,  4632.518800,  4678.229400,  4724.890800, 
-        4769.019400, 4817.052000,  4861.458800,  4910.159600,  4956.434400, 
-        5002.523800, 5048.130000,  5093.637400,  5142.816200,  5187.789400, 
-        5237.398400, 5285.607800,  5331.085800,  5379.103600,  5428.625800, 
-        5474.601800, 5522.761800,  5571.582200,  5618.590000,  5667.999200, 
-        5714.880000, 5763.454000,  5808.698200,  5860.364400,  5910.291400, 
-        5953.571000, 6005.923200,  6055.191400,  6104.588200,  6154.570200, 
-        6199.703600, 6251.176400,  6298.759600,  6350.030200,  6398.061000, 
-        6448.469400, 6495.933000,  6548.047400,  6597.716600,  6646.941600, 
-        6695.920800, 6742.632800,  6793.527600,  6842.193400,  6894.237200, 
-        6945.386400, 6996.922800,  7044.237200,  7094.137400,  7142.227200, 
-        7192.294200, 7238.833800,  7288.900600,  7344.090800,  7394.854400, 
-        7443.517600, 7490.414800,  7542.931400,  7595.673800,  7641.987800, 
-        7694.368800, 7743.044800,  7797.522000,  7845.530000,  7899.594000, 
-        7950.313200, 7996.455000,  8050.944200,  8092.911400,  8153.137400, 
-        8197.447200, 8252.827800,  8301.872800,  8348.677600,  8401.469800, 
-        8453.551000, 8504.659800,  8553.894400,  8604.127600,  8657.651400, 
-        8710.306200, 8758.908000,  8807.870600,  8862.170200,  8910.466800, 
-        8960.770000, 9007.276600,  9063.164000,  9121.053400,  9164.135400, 
-        9218.159400, 9267.767000,  9319.059400,  9372.155000,  9419.712600, 
-        9474.372200, 9520.133800,  9572.368000,  9622.770200,  9675.844800, 
-        9726.539600, 9778.737800,  9827.655400,  9878.192200,  9928.778200, 
-        9978.398400, 10026.578000, 10076.562600, 10137.161800, 10177.524400, 
-        10229.917600 
-    }}, 
-    {{ 
-        1476.000000, 1449.601400, 1423.580200, 1397.794200, 1372.304200, 
-        1347.206200, 1321.840200, 1297.229200, 1272.946200, 1248.992600, 
-        1225.302600, 1201.425200, 1178.057800, 1155.609200, 1132.626000, 
-        1110.556800, 1088.527000, 1066.515400, 1045.187400, 1024.387800, 
-        1003.370000, 982.197200,  962.572800,  942.101200,  922.966800, 
-        903.292000,  884.077200,  864.857800,  846.656200,  828.041000, 
-        809.714000,  792.311200,  775.180600,  757.985400,  740.656000, 
-        724.346000,  707.515400,  691.837800,  675.744800,  659.672200, 
-        645.572200,  630.146200,  614.412400,  600.872800,  585.898000, 
-        572.408000,  558.492600,  544.493800,  531.677600,  517.282000, 
-        505.770400,  493.101200,  480.738800,  467.687600,  456.187200, 
-        445.504800,  433.021400,  420.806000,  411.409000,  400.414400, 
-        389.429400,  379.228600,  369.651000,  360.615600,  350.337000, 
-        342.083000,  332.153800,  322.509400,  315.010000,  305.668600, 
-        298.167800,  287.811600,  280.997800,  271.920400,  265.328600, 
-        257.570600,  249.601400,  242.544000,  235.597600,  229.583000, 
-        220.943800,  214.672000,  208.278600,  201.862800,  195.183400, 
-        191.505000,  186.181600,  178.518800,  172.229400,  167.890800, 
-        161.019400,  158.052000,  151.458800,  148.159600,  143.434400, 
-        138.523800,  133.130000,  127.637400,  124.816200,  118.789400, 
-        117.398400,  114.607800,  109.085800,  105.103600,  103.625800, 
-        98.601800,   95.761800,   93.582200,   88.590000,   86.999200, 
-        82.880000,   80.454000,   74.698200,   74.364400,   73.291400, 
-        65.571000,   66.923200,   65.191400,   62.588200,   61.570200, 
-        55.703600,   56.176400,   52.759600,   53.030200,   49.061000, 
-        48.469400,   44.933000,   46.047400,   44.716600,   41.941600, 
-        39.920800,   35.632800,   35.527600,   33.193400,   33.237200, 
-        33.386400,   33.922800,   30.237200,   29.137400,   25.227200, 
-        24.294200,   19.833800,   18.900600,   23.090800,   21.854400, 
-        19.517600,   15.414800,   16.931400,   18.673800,   12.987800, 
-        14.368800,   12.044800,   15.522000,   12.530000,   14.594000, 
-        14.313200,   9.455000,    12.944200,   3.911400,    13.137400, 
-        5.447200,    9.827800,    7.872800,    3.677600,    5.469800, 
-        5.551000,    5.659800,    3.894400,    3.127600,    5.651400, 
-        6.306200,    3.908000,    1.870600,    5.170200,    2.466800, 
-        0.770000,    -3.723400,   1.164000,    8.053400,    0.135400, 
-        2.159400,    0.767000,    1.059400,    3.155000,    -0.287400, 
-        2.372200,    -2.866200,   -1.632000,   -2.229800,   -0.155200, 
-        -1.460400,   -0.262200,   -2.344600,   -2.807800,   -3.221800, 
-        -5.601600,   -8.422000,   -9.437400,   0.161800,    -10.475600, 
-        -10.082400 
-    }} 
-}, 
- 
-// Precision 12 
-{ 
-    {{ 
-        2954.000000,  3003.478200,  3053.356800,  3104.366600,  3155.324000, 
-        3206.959800,  3259.648000,  3312.539000,  3366.147400,  3420.257600, 
-        3474.837600,  3530.607600,  3586.451000,  3643.380000,  3700.410400, 
-        3757.563800,  3815.967600,  3875.193000,  3934.838000,  3994.854800, 
-        4055.018000,  4117.174200,  4178.448200,  4241.129400,  4304.477600, 
-        4367.404400,  4431.872400,  4496.373200,  4561.430400,  4627.532600, 
-        4693.949000,  4761.553200,  4828.725600,  4897.618200,  4965.518600, 
-        5034.452800,  5104.865000,  5174.716400,  5244.682800,  5316.670800, 
-        5387.831200,  5459.903600,  5532.476000,  5604.865200,  5679.671800, 
-        5753.757000,  5830.207200,  5905.282800,  5980.043400,  6056.626400, 
-        6134.319200,  6211.574600,  6290.081600,  6367.117600,  6447.979600, 
-        6526.557600,  6606.185800,  6686.914400,  6766.114200,  6847.081800, 
-        6927.966400,  7010.909600,  7091.081600,  7175.396200,  7260.345400, 
-        7344.018000,  7426.421400,  7511.310600,  7596.068600,  7679.809400, 
-        7765.818000,  7852.424800,  7936.834000,  8022.363000,  8109.506600, 
-        8200.455400,  8288.583200,  8373.366000,  8463.480800,  8549.768200, 
-        8642.052200,  8728.328800,  8820.952800,  8907.727000,  9001.079400, 
-        9091.252200,  9179.988000,  9269.852000,  9362.639400,  9453.642000, 
-        9546.902400,  9640.661600,  9732.662200,  9824.325400,  9917.748400, 
-        10007.939200, 10106.750800, 10196.215200, 10289.811400, 10383.549400, 
-        10482.306400, 10576.873400, 10668.787200, 10764.715600, 10862.019600, 
-        10952.793000, 11049.974800, 11146.070200, 11241.449200, 11339.277200, 
-        11434.233600, 11530.741000, 11627.613600, 11726.311000, 11821.596400, 
-        11918.837000, 12015.372400, 12113.016200, 12213.042400, 12306.980400, 
-        12408.451800, 12504.896800, 12604.586000, 12700.933200, 12798.705000, 
-        12898.514200, 12997.048800, 13094.788000, 13198.475000, 13292.776400, 
-        13392.969800, 13486.857400, 13590.161600, 13686.583800, 13783.626400, 
-        13887.263800, 13992.097800, 14081.084400, 14189.995600, 14280.091200, 
-        14382.495600, 14486.438400, 14588.108200, 14686.239200, 14782.276000, 
-        14888.028400, 14985.186400, 15088.859600, 15187.099800, 15285.027000, 
-        15383.669400, 15495.826600, 15591.373600, 15694.200800, 15790.324600, 
-        15898.411600, 15997.452200, 16095.501400, 16198.851400, 16291.749200, 
-        16402.642400, 16499.126600, 16606.243600, 16697.718600, 16796.394600, 
-        16902.337600, 17005.767200, 17100.814000, 17206.828200, 17305.826200, 
-        17416.074400, 17508.409200, 17617.017800, 17715.455400, 17816.758000, 
-        17920.174800, 18012.923600, 18119.798400, 18223.224800, 18324.248200, 
-        18426.627600, 18525.093200, 18629.897600, 18733.258800, 18831.046600, 
-        18940.136600, 19032.269600, 19131.729000, 19243.486400, 19349.693200, 
-        19442.866000, 19547.944800, 19653.279800, 19754.403400, 19854.069200, 
-        19965.122400, 20065.177400, 20158.221200, 20253.353000, 20366.326400, 
-        20463.220000 
-    }}, 
-    {{ 
-        2953.000000, 2900.478200, 2848.356800, 2796.366600, 2745.324000, 
-        2694.959800, 2644.648000, 2595.539000, 2546.147400, 2498.257600, 
-        2450.837600, 2403.607600, 2357.451000, 2311.380000, 2266.410400, 
-        2221.563800, 2176.967600, 2134.193000, 2090.838000, 2048.854800, 
-        2007.018000, 1966.174200, 1925.448200, 1885.129400, 1846.477600, 
-        1807.404400, 1768.872400, 1731.373200, 1693.430400, 1657.532600, 
-        1621.949000, 1586.553200, 1551.725600, 1517.618200, 1483.518600, 
-        1450.452800, 1417.865000, 1385.716400, 1352.682800, 1322.670800, 
-        1291.831200, 1260.903600, 1231.476000, 1201.865200, 1173.671800, 
-        1145.757000, 1119.207200, 1092.282800, 1065.043400, 1038.626400, 
-        1014.319200, 988.574600,  965.081600,  940.117600,  917.979600, 
-        894.557600,  871.185800,  849.914400,  827.114200,  805.081800, 
-        783.966400,  763.909600,  742.081600,  724.396200,  706.345400, 
-        688.018000,  667.421400,  650.310600,  633.068600,  613.809400, 
-        597.818000,  581.424800,  563.834000,  547.363000,  531.506600, 
-        520.455400,  505.583200,  488.366000,  476.480800,  459.768200, 
-        450.052200,  434.328800,  423.952800,  408.727000,  399.079400, 
-        387.252200,  373.988000,  360.852000,  351.639400,  339.642000, 
-        330.902400,  322.661600,  311.662200,  301.325400,  291.748400, 
-        279.939200,  276.750800,  263.215200,  254.811400,  245.549400, 
-        242.306400,  234.873400,  223.787200,  217.715600,  212.019600, 
-        200.793000,  195.974800,  189.070200,  182.449200,  177.277200, 
-        170.233600,  164.741000,  158.613600,  155.311000,  147.596400, 
-        142.837000,  137.372400,  132.016200,  130.042400,  121.980400, 
-        120.451800,  114.896800,  111.586000,  105.933200,  101.705000, 
-        98.514200,   95.048800,   89.788000,   91.475000,   83.776400, 
-        80.969800,   72.857400,   73.161600,   67.583800,   62.626400, 
-        63.263800,   66.097800,   52.084400,   58.995600,   47.091200, 
-        46.495600,   48.438400,   47.108200,   43.239200,   37.276000, 
-        40.028400,   35.186400,   35.859600,   32.099800,   28.027000, 
-        23.669400,   33.826600,   26.373600,   27.200800,   21.324600, 
-        26.411600,   23.452200,   19.501400,   19.851400,   10.749200, 
-        18.642400,   13.126600,   18.243600,   6.718600,    3.394600, 
-        6.337600,    7.767200,    0.814000,    3.828200,    0.826200, 
-        8.074400,    -1.590800,   5.017800,    0.455400,    -0.242000, 
-        0.174800,    -9.076400,   -4.201600,   -3.775200,   -4.751800, 
-        -5.372400,   -8.906800,   -6.102400,   -5.741200,   -9.953400, 
-        -3.863400,   -13.730400,  -16.271000,  -7.513600,   -3.306800, 
-        -13.134000,  -10.055200,  -6.720200,   -8.596600,   -10.930800, 
-        -1.877600,   -4.822600,   -13.778800,  -21.647000,  -10.673600, 
-        -15.780000 
-    }} 
-}, 
- 
-// Precision 13 
-{ 
-    {{ 
-        5908.505200,  6007.267200,  6107.347000,  6208.579400,  6311.262200, 
-        6414.551400,  6519.337600,  6625.695200,  6732.598800,  6841.355200, 
-        6950.597200,  7061.308200,  7173.564600,  7287.109000,  7401.821600, 
-        7516.434400,  7633.380200,  7751.296200,  7870.378400,  7990.292000, 
-        8110.790000,  8233.457400,  8356.603600,  8482.271200,  8607.770800, 
-        8735.099000,  8863.185800,  8993.474600,  9123.849600,  9255.679400, 
-        9388.544800,  9522.751600,  9657.310600,  9792.609400,  9930.564200, 
-        10068.794000, 10206.725600, 10347.810000, 10490.319600, 10632.077800, 
-        10775.991600, 10920.466200, 11066.124000, 11213.073000, 11358.036200, 
-        11508.100600, 11659.171600, 11808.751400, 11959.488400, 12112.131400, 
-        12265.037000, 12420.375600, 12578.933000, 12734.311000, 12890.000600, 
-        13047.214400, 13207.309600, 13368.514400, 13528.024000, 13689.847000, 
-        13852.752800, 14018.316800, 14180.537200, 14346.966800, 14513.507400, 
-        14677.867000, 14846.218600, 15017.418600, 15184.971600, 15356.339000, 
-        15529.297200, 15697.357800, 15871.868600, 16042.187000, 16216.409400, 
-        16389.418800, 16565.912600, 16742.327200, 16919.004200, 17094.759200, 
-        17273.965000, 17451.834200, 17634.425400, 17810.598400, 17988.924200, 
-        18171.051000, 18354.793800, 18539.466000, 18721.040800, 18904.997200, 
-        19081.867000, 19271.911800, 19451.869400, 19637.981600, 19821.292200, 
-        20013.129200, 20199.385800, 20387.872600, 20572.951400, 20770.776400, 
-        20955.171400, 21144.751000, 21329.995200, 21520.709000, 21712.701600, 
-        21906.386800, 22096.262600, 22286.052400, 22475.051000, 22665.509800, 
-        22862.849200, 23055.529400, 23249.613800, 23437.848000, 23636.273000, 
-        23826.093000, 24020.329600, 24213.389600, 24411.739200, 24602.961400, 
-        24805.795200, 24998.155200, 25193.958800, 25389.016600, 25585.839200, 
-        25780.697600, 25981.272800, 26175.977000, 26376.525200, 26570.196400, 
-        26773.387000, 26962.981200, 27163.058600, 27368.164000, 27565.053400, 
-        27758.742800, 27961.127600, 28163.232400, 28362.381600, 28565.766800, 
-        28758.644000, 28956.976800, 29163.472200, 29354.702600, 29561.118600, 
-        29767.994800, 29959.998600, 30164.049200, 30366.981800, 30562.533800, 
-        30762.992800, 30976.159200, 31166.274000, 31376.722000, 31570.373400, 
-        31770.809000, 31974.893400, 32179.528600, 32387.544200, 32582.350400, 
-        32794.076000, 32989.952800, 33191.842000, 33392.468400, 33595.659000, 
-        33801.867200, 34000.341400, 34200.092200, 34402.679200, 34610.063800, 
-        34804.008400, 35011.130000, 35218.669000, 35418.663400, 35619.079200, 
-        35830.653400, 36028.496600, 36229.790200, 36438.642200, 36630.776400, 
-        36833.310200, 37048.672800, 37247.391600, 37453.590400, 37669.361400, 
-        37854.552600, 38059.305000, 38268.093600, 38470.251600, 38674.706400, 
-        38876.167000, 39068.379400, 39281.914400, 39492.856600, 39684.862800, 
-        39898.410800, 40093.183600, 40297.685800, 40489.708600, 40717.242400 
-    }}, 
-    {{ 
-        5907.505200, 5802.267200, 5697.347000, 5593.579400, 5491.262200, 
-        5390.551400, 5290.337600, 5191.695200, 5093.598800, 4997.355200, 
-        4902.597200, 4808.308200, 4715.564600, 4624.109000, 4533.821600, 
-        4444.434400, 4356.380200, 4269.296200, 4183.378400, 4098.292000, 
-        4014.790000, 3932.457400, 3850.603600, 3771.271200, 3691.770800, 
-        3615.099000, 3538.185800, 3463.474600, 3388.849600, 3315.679400, 
-        3244.544800, 3173.751600, 3103.310600, 3033.609400, 2966.564200, 
-        2900.794000, 2833.725600, 2769.810000, 2707.319600, 2644.077800, 
-        2583.991600, 2523.466200, 2464.124000, 2406.073000, 2347.036200, 
-        2292.100600, 2238.171600, 2182.751400, 2128.488400, 2077.131400, 
-        2025.037000, 1975.375600, 1928.933000, 1879.311000, 1831.000600, 
-        1783.214400, 1738.309600, 1694.514400, 1649.024000, 1606.847000, 
-        1564.752800, 1525.316800, 1482.537200, 1443.966800, 1406.507400, 
-        1365.867000, 1329.218600, 1295.418600, 1257.971600, 1225.339000, 
-        1193.297200, 1156.357800, 1125.868600, 1091.187000, 1061.409400, 
-        1029.418800, 1000.912600, 972.327200,  944.004200,  915.759200, 
-        889.965000,  862.834200,  840.425400,  812.598400,  785.924200, 
-        763.051000,  741.793800,  721.466000,  699.040800,  677.997200, 
-        649.867000,  634.911800,  609.869400,  591.981600,  570.292200, 
-        557.129200,  538.385800,  521.872600,  502.951400,  495.776400, 
-        475.171400,  459.751000,  439.995200,  426.709000,  413.701600, 
-        402.386800,  387.262600,  372.052400,  357.051000,  342.509800, 
-        334.849200,  322.529400,  311.613800,  295.848000,  289.273000, 
-        274.093000,  263.329600,  251.389600,  245.739200,  231.961400, 
-        229.795200,  217.155200,  208.958800,  199.016600,  190.839200, 
-        180.697600,  176.272800,  166.977000,  162.525200,  151.196400, 
-        149.387000,  133.981200,  130.058600,  130.164000,  122.053400, 
-        110.742800,  108.127600,  106.232400,  100.381600,  98.766800, 
-        86.644000,   79.976800,   82.472200,   68.702600,   70.118600, 
-        71.994800,   58.998600,   59.049200,   56.981800,   47.533800, 
-        42.992800,   51.159200,   37.274000,   42.722000,   31.373400, 
-        26.809000,   25.893400,   26.528600,   29.544200,   19.350400, 
-        26.076000,   17.952800,   14.842000,   10.468400,   8.659000, 
-        9.867200,    4.341400,    -0.907800,   -3.320800,   -0.936200, 
-        -11.991600,  -8.870000,   -6.331000,   -11.336600,  -15.920800, 
-        -9.346600,   -15.503400,  -19.209800,  -15.357800,  -28.223600, 
-        -30.689800,  -19.327200,  -25.608400,  -24.409600,  -13.638600, 
-        -33.447400,  -32.695000,  -28.906400,  -31.748400,  -32.293600, 
-        -35.833000,  -47.620600,  -39.085600,  -33.143400,  -46.137200, 
-        -37.589200,  -46.816400,  -47.314200,  -60.291400,  -37.757600 
-    }} 
-}, 
- 
-// Precision 14 
-{ 
-    {{ 
-        11817.475000, 12015.004600, 12215.379200, 12417.750400, 12623.181400, 
-        12830.008600, 13040.007200, 13252.503000, 13466.178000, 13683.273800, 
-        13902.034400, 14123.979800, 14347.394000, 14573.778400, 14802.689400, 
-        15033.682400, 15266.913400, 15502.862400, 15741.494400, 15980.795600, 
-        16223.891600, 16468.631600, 16715.733000, 16965.572600, 17217.204000, 
-        17470.666000, 17727.851600, 17986.788600, 18247.690200, 18510.963200, 
-        18775.304000, 19044.748600, 19314.440800, 19587.202000, 19862.257600, 
-        20135.924000, 20417.032400, 20697.978800, 20979.611200, 21265.027400, 
-        21550.723000, 21841.690600, 22132.162000, 22428.140600, 22722.127000, 
-        23020.560600, 23319.739400, 23620.401400, 23925.272800, 24226.922400, 
-        24535.581000, 24845.505000, 25155.961800, 25470.382800, 25785.970200, 
-        26103.776400, 26420.413200, 26742.018600, 27062.885200, 27388.415000, 
-        27714.602400, 28042.296000, 28365.449400, 28701.152600, 29031.800800, 
-        29364.215600, 29704.497000, 30037.145800, 30380.111000, 30723.816800, 
-        31059.511400, 31404.949800, 31751.675200, 32095.268600, 32444.779200, 
-        32794.767000, 33145.204000, 33498.422600, 33847.650200, 34209.006000, 
-        34560.849000, 34919.483800, 35274.977800, 35635.132200, 35996.326600, 
-        36359.139400, 36722.826600, 37082.851600, 37447.735400, 37815.960600, 
-        38191.069200, 38559.410600, 38924.811200, 39294.672600, 39663.973000, 
-        40042.261000, 40416.203600, 40779.203600, 41161.643600, 41540.901400, 
-        41921.199800, 42294.769800, 42678.526400, 43061.346400, 43432.375000, 
-        43818.432000, 44198.659800, 44583.013800, 44970.479400, 45353.924000, 
-        45729.858000, 46118.222400, 46511.572400, 46900.738600, 47280.696400, 
-        47668.147200, 48055.679600, 48446.943600, 48838.714600, 49217.729600, 
-        49613.779600, 50010.750800, 50410.020800, 50793.788600, 51190.245600, 
-        51583.188200, 51971.079600, 52376.533800, 52763.319000, 53165.553400, 
-        53556.559400, 53948.270200, 54346.352000, 54748.791400, 55138.577000, 
-        55543.482400, 55941.174800, 56333.774600, 56745.155200, 57142.794400, 
-        57545.223600, 57935.995600, 58348.526800, 58737.547400, 59158.596200, 
-        59542.689600, 59958.800400, 60349.378800, 60755.021200, 61147.614400, 
-        61548.194000, 61946.069600, 62348.604200, 62763.603000, 63162.781000, 
-        63560.635000, 63974.348200, 64366.490800, 64771.587600, 65176.734600, 
-        65597.391600, 65995.915000, 66394.038400, 66822.939600, 67203.633600, 
-        67612.203200, 68019.007800, 68420.038800, 68821.220000, 69235.838800, 
-        69640.072400, 70055.155000, 70466.357000, 70863.426600, 71276.248200, 
-        71677.030600, 72080.200600, 72493.021400, 72893.595200, 73314.585600, 
-        73714.985200, 74125.302200, 74521.212200, 74933.681400, 75341.590400, 
-        75743.024400, 76166.027800, 76572.132200, 76973.102800, 77381.628400, 
-        77800.609200, 78189.328000, 78607.096200, 79012.250800, 79407.835800, 
-        79825.725000, 80238.701000, 80646.891000, 81035.643600, 81460.044800, 
-        81876.388400 
-    }}, 
-    {{ 
-        11816.475000, 11605.004600, 11395.379200, 11188.750400, 10984.181400, 
-        10782.008600, 10582.007200, 10384.503000, 10189.178000, 9996.273800, 
-        9806.034400,  9617.979800,  9431.394000,  9248.778400,  9067.689400, 
-        8889.682400,  8712.913400,  8538.862400,  8368.494400,  8197.795600, 
-        8031.891600,  7866.631600,  7703.733000,  7544.572600,  7386.204000, 
-        7230.666000,  7077.851600,  6926.788600,  6778.690200,  6631.963200, 
-        6487.304000,  6346.748600,  6206.440800,  6070.202000,  5935.257600, 
-        5799.924000,  5671.032400,  5541.978800,  5414.611200,  5290.027400, 
-        5166.723000,  5047.690600,  4929.162000,  4815.140600,  4699.127000, 
-        4588.560600,  4477.739400,  4369.401400,  4264.272800,  4155.922400, 
-        4055.581000,  3955.505000,  3856.961800,  3761.382800,  3666.970200, 
-        3575.776400,  3482.413200,  3395.018600,  3305.885200,  3221.415000, 
-        3138.602400,  3056.296000,  2970.449400,  2896.152600,  2816.800800, 
-        2740.215600,  2670.497000,  2594.145800,  2527.111000,  2460.816800, 
-        2387.511400,  2322.949800,  2260.675200,  2194.268600,  2133.779200, 
-        2074.767000,  2015.204000,  1959.422600,  1898.650200,  1850.006000, 
-        1792.849000,  1741.483800,  1687.977800,  1638.132200,  1589.326600, 
-        1543.139400,  1496.826600,  1447.851600,  1402.735400,  1361.960600, 
-        1327.069200,  1285.410600,  1241.811200,  1201.672600,  1161.973000, 
-        1130.261000,  1094.203600,  1048.203600,  1020.643600,  990.901400, 
-        961.199800,   924.769800,   899.526400,   872.346400,   834.375000, 
-        810.432000,   780.659800,   756.013800,   733.479400,   707.924000, 
-        673.858000,   652.222400,   636.572400,   615.738600,   586.696400, 
-        564.147200,   541.679600,   523.943600,   505.714600,   475.729600, 
-        461.779600,   449.750800,   439.020800,   412.788600,   400.245600, 
-        383.188200,   362.079600,   357.533800,   334.319000,   327.553400, 
-        308.559400,   291.270200,   279.352000,   271.791400,   252.577000, 
-        247.482400,   236.174800,   218.774600,   220.155200,   208.794400, 
-        201.223600,   182.995600,   185.526800,   164.547400,   176.596200, 
-        150.689600,   157.800400,   138.378800,   134.021200,   117.614400, 
-        108.194000,   97.069600,    89.604200,    95.603000,    84.781000, 
-        72.635000,    77.348200,    59.490800,    55.587600,    50.734600, 
-        61.391600,    50.915000,    39.038400,    58.939600,    29.633600, 
-        28.203200,    26.007800,    17.038800,    9.220000,     13.838800, 
-        8.072400,     14.155000,    15.357000,    3.426600,     6.248200, 
-        -2.969400,    -8.799400,    -5.978600,    -14.404800,   -3.414400, 
-        -13.014800,   -11.697800,   -25.787800,   -22.318600,   -24.409600, 
-        -31.975600,   -18.972200,   -22.867800,   -30.897200,   -32.371600, 
-        -22.390800,   -43.672000,   -35.903800,   -39.749200,   -54.164200, 
-        -45.275000,   -42.299000,   -44.109000,   -64.356400,   -49.955200, 
-        -42.611600 
-    }} 
-}, 
- 
-// Precision 15 
-{ 
-    {{ 
-        23635.003600,  24030.803400,  24431.474400,  24837.152400,  25246.792800, 
-        25661.326000,  26081.353200,  26505.280600,  26933.989200,  27367.709800, 
-        27805.318000,  28248.799000,  28696.438200,  29148.824400,  29605.513800, 
-        30066.866800,  30534.234400,  31006.320000,  31480.778000,  31962.241800, 
-        32447.332400,  32938.023200,  33432.731000,  33930.728000,  34433.989600, 
-        34944.140200,  35457.558800,  35974.595800,  36497.329600,  37021.909600, 
-        37554.326000,  38088.082600,  38628.881600,  39171.319200,  39723.232600, 
-        40274.555400,  40832.314200,  41390.613000,  41959.590800,  42532.546600, 
-        43102.034400,  43683.507200,  44266.694000,  44851.282200,  45440.786200, 
-        46038.058600,  46640.316400,  47241.064000,  47846.155000,  48454.739600, 
-        49076.916800,  49692.542000,  50317.477800,  50939.650000,  51572.559600, 
-        52210.290600,  52843.739600,  53481.399600,  54127.236000,  54770.406000, 
-        55422.659800,  56078.795800,  56736.717400,  57397.678400,  58064.578400, 
-        58730.308000,  59404.978400,  60077.086400,  60751.915800,  61444.138600, 
-        62115.817000,  62808.774200,  63501.477400,  64187.545400,  64883.662200, 
-        65582.746800,  66274.531800,  66976.927600,  67688.776400,  68402.138000, 
-        69109.627400,  69822.970600,  70543.610800,  71265.520200,  71983.384800, 
-        72708.465600,  73433.384000,  74158.466400,  74896.486800,  75620.956400, 
-        76362.143400,  77098.320400,  77835.766200,  78582.611400,  79323.990200, 
-        80067.865800,  80814.924600,  81567.013600,  82310.853600,  83061.995200, 
-        83821.409600,  84580.860800,  85335.547000,  86092.580200,  86851.650600, 
-        87612.311000,  88381.201600,  89146.329600,  89907.897400,  90676.846000, 
-        91451.415200,  92224.551800,  92995.868600,  93763.506600,  94551.279600, 
-        95315.194400,  96096.180600,  96881.091800,  97665.679000,  98442.680000, 
-        99229.300200,  100011.099400, 100790.638600, 101580.156400, 102377.748400, 
-        103152.139200, 103944.271200, 104730.216000, 105528.633600, 106324.939800, 
-        107117.670600, 107890.398800, 108695.226600, 109485.238000, 110294.787600, 
-        111075.095800, 111878.049600, 112695.286400, 113464.548600, 114270.047400, 
-        115068.608000, 115884.362600, 116673.258800, 117483.371600, 118275.097000, 
-        119085.409200, 119879.280800, 120687.586800, 121499.994400, 122284.916000, 
-        123095.925400, 123912.503800, 124709.045400, 125503.718200, 126323.259000, 
-        127138.941200, 127943.829400, 128755.646000, 129556.535400, 130375.329800, 
-        131161.473400, 131971.196200, 132787.545800, 133588.105600, 134431.351000, 
-        135220.290600, 136023.398000, 136846.655800, 137667.000400, 138463.663000, 
-        139283.715400, 140074.614600, 140901.307200, 141721.854800, 142543.232200, 
-        143356.109600, 144173.741200, 144973.094800, 145794.316200, 146609.571400, 
-        147420.003000, 148237.978400, 149050.569600, 149854.761000, 150663.196600, 
-        151494.075400, 152313.141600, 153112.690200, 153935.720600, 154746.926200, 
-        155559.547000, 156401.974600, 157228.703600, 158008.725400, 158820.750000, 
-        159646.918400, 160470.445800, 161279.534800, 162093.311400, 162918.542000, 
-        163729.284200 
-    }}, 
-    {{ 
-        23634.003600, 23210.803400, 22792.474400, 22379.152400, 21969.792800, 
-        21565.326000, 21165.353200, 20770.280600, 20379.989200, 19994.709800, 
-        19613.318000, 19236.799000, 18865.438200, 18498.824400, 18136.513800, 
-        17778.866800, 17426.234400, 17079.320000, 16734.778000, 16397.241800, 
-        16063.332400, 15734.023200, 15409.731000, 15088.728000, 14772.989600, 
-        14464.140200, 14157.558800, 13855.595800, 13559.329600, 13264.909600, 
-        12978.326000, 12692.082600, 12413.881600, 12137.319200, 11870.232600, 
-        11602.555400, 11340.314200, 11079.613000, 10829.590800, 10583.546600, 
-        10334.034400, 10095.507200, 9859.694000,  9625.282200,  9395.786200, 
-        9174.058600,  8957.316400,  8738.064000,  8524.155000,  8313.739600, 
-        8116.916800,  7913.542000,  7718.477800,  7521.650000,  7335.559600, 
-        7154.290600,  6968.739600,  6786.399600,  6613.236000,  6437.406000, 
-        6270.659800,  6107.795800,  5945.717400,  5787.678400,  5635.578400, 
-        5482.308000,  5337.978400,  5190.086400,  5045.915800,  4919.138600, 
-        4771.817000,  4645.774200,  4518.477400,  4385.545400,  4262.662200, 
-        4142.746800,  4015.531800,  3897.927600,  3790.776400,  3685.138000, 
-        3573.627400,  3467.970600,  3368.610800,  3271.520200,  3170.384800, 
-        3076.465600,  2982.384000,  2888.466400,  2806.486800,  2711.956400, 
-        2634.143400,  2551.320400,  2469.766200,  2396.611400,  2318.990200, 
-        2243.865800,  2171.924600,  2105.013600,  2028.853600,  1960.995200, 
-        1901.409600,  1841.860800,  1777.547000,  1714.580200,  1654.650600, 
-        1596.311000,  1546.201600,  1492.329600,  1433.897400,  1383.846000, 
-        1339.415200,  1293.551800,  1245.868600,  1193.506600,  1162.279600, 
-        1107.194400,  1069.180600,  1035.091800,  999.679000,   957.680000, 
-        925.300200,   888.099400,   848.638600,   818.156400,   796.748400, 
-        752.139200,   725.271200,   692.216000,   671.633600,   647.939800, 
-        621.670600,   575.398800,   561.226600,   532.238000,   521.787600, 
-        483.095800,   467.049600,   465.286400,   415.548600,   401.047400, 
-        380.608000,   377.362600,   347.258800,   338.371600,   310.097000, 
-        301.409200,   276.280800,   265.586800,   258.994400,   223.916000, 
-        215.925400,   213.503800,   191.045400,   166.718200,   166.259000, 
-        162.941200,   148.829400,   141.646000,   123.535400,   122.329800, 
-        89.473400,    80.196200,    77.545800,    59.105600,    83.351000, 
-        52.290600,    36.398000,    40.655800,    42.000400,    19.663000, 
-        19.715400,    -8.385400,    -0.692800,    0.854800,     3.232200, 
-        -3.890400,    -5.258800,    -24.905200,   -22.683800,   -26.428600, 
-        -34.997000,   -37.021600,   -43.430400,   -58.239000,   -68.803400, 
-        -56.924600,   -57.858400,   -77.309800,   -73.279400,   -81.073800, 
-        -87.453000,   -65.025400,   -57.296400,   -96.274600,   -103.250000, 
-        -96.081600,   -91.554200,   -102.465200,  -107.688600,  -101.458000, 
-        -109.715800 
-    }} 
-}, 
- 
-// Precision 16 
-{ 
-    {{ 
-        47271.000000,  48062.358400,  48862.707400,  49673.152000,  50492.841600, 
-        51322.951400,  52161.030000,  53009.407000,  53867.634800,  54734.206000, 
-        55610.514400,  56496.209600,  57390.795000,  58297.268000,  59210.644800, 
-        60134.665000,  61068.024800,  62010.447200,  62962.520400,  63923.574200, 
-        64895.019400,  65876.418200,  66862.613600,  67862.696800,  68868.890800, 
-        69882.854400,  70911.271000,  71944.092400,  72990.032600,  74040.692000, 
-        75100.633600,  76174.782600,  77252.599800,  78340.297400,  79438.257200, 
-        80545.497600,  81657.279600,  82784.633600,  83915.515000,  85059.736200, 
-        86205.936800,  87364.442400,  88530.335800,  89707.374400,  90885.963800, 
-        92080.197000,  93275.573800,  94479.391000,  95695.918000,  96919.223600, 
-        98148.460200,  99382.347400,  100625.697400, 101878.028400, 103141.627800, 
-        104409.458800, 105686.288200, 106967.540200, 108261.603200, 109548.157800, 
-        110852.072800, 112162.231000, 113479.007200, 114806.262600, 116137.907200, 
-        117469.504800, 118813.518600, 120165.487600, 121516.255600, 122875.766000, 
-        124250.544400, 125621.222200, 127003.235200, 128387.848000, 129775.264400, 
-        131181.777600, 132577.308600, 133979.945800, 135394.113200, 136800.907800, 
-        138233.217000, 139668.530800, 141085.212000, 142535.212200, 143969.068400, 
-        145420.287200, 146878.154200, 148332.757200, 149800.320200, 151269.660000, 
-        152743.610400, 154213.094800, 155690.288000, 157169.424600, 158672.175600, 
-        160160.059000, 161650.685400, 163145.777200, 164645.672600, 166159.195200, 
-        167682.157800, 169177.332800, 170700.011800, 172228.896400, 173732.666400, 
-        175265.555600, 176787.799000, 178317.111000, 179856.691400, 181400.865000, 
-        182943.461200, 184486.742000, 186033.469800, 187583.788600, 189148.186800, 
-        190688.452600, 192250.192600, 193810.904200, 195354.297200, 196938.768200, 
-        198493.589800, 200079.282400, 201618.912000, 203205.549200, 204765.579800, 
-        206356.112400, 207929.306400, 209498.719600, 211086.229000, 212675.132400, 
-        214256.789200, 215826.239200, 217412.847400, 218995.672400, 220618.603800, 
-        222207.116600, 223781.036400, 225387.433200, 227005.792800, 228590.433600, 
-        230217.873800, 231805.105400, 233408.900000, 234995.343200, 236601.495600, 
-        238190.790400, 239817.254800, 241411.283200, 243002.406600, 244640.188400, 
-        246255.312800, 247849.350800, 249479.973400, 251106.882200, 252705.027000, 
-        254332.924200, 255935.129000, 257526.901400, 259154.772000, 260777.625000, 
-        262390.253000, 264004.490600, 265643.590000, 267255.407600, 268873.426000, 
-        270470.725200, 272106.480400, 273722.445600, 275337.794000, 276945.703800, 
-        278592.915400, 280204.372600, 281841.160600, 283489.171000, 285130.171600, 
-        286735.336200, 288364.716400, 289961.181400, 291595.552400, 293285.683000, 
-        294899.666800, 296499.343400, 298128.046200, 299761.894600, 301394.242400, 
-        302997.674800, 304615.147800, 306269.772400, 307886.114000, 309543.102800, 
-        311153.286200, 312782.854600, 314421.200800, 316033.243800, 317692.963600, 
-        319305.264800, 320948.740600, 322566.336400, 324228.422400, 325847.154200 
-    }}, 
-    {{ 
-        47270.000000, 46423.358400, 45585.707400, 44757.152000, 43938.841600, 
-        43130.951400, 42330.030000, 41540.407000, 40759.634800, 39988.206000, 
-        39226.514400, 38473.209600, 37729.795000, 36997.268000, 36272.644800, 
-        35558.665000, 34853.024800, 34157.447200, 33470.520400, 32793.574200, 
-        32127.019400, 31469.418200, 30817.613600, 30178.696800, 29546.890800, 
-        28922.854400, 28312.271000, 27707.092400, 27114.032600, 26526.692000, 
-        25948.633600, 25383.782600, 24823.599800, 24272.297400, 23732.257200, 
-        23201.497600, 22674.279600, 22163.633600, 21656.515000, 21161.736200, 
-        20669.936800, 20189.442400, 19717.335800, 19256.374400, 18795.963800, 
-        18352.197000, 17908.573800, 17474.391000, 17052.918000, 16637.223600, 
-        16228.460200, 15823.347400, 15428.697400, 15043.028400, 14667.627800, 
-        14297.458800, 13935.288200, 13578.540200, 13234.603200, 12882.157800, 
-        12548.072800, 12219.231000, 11898.007200, 11587.262600, 11279.907200, 
-        10973.504800, 10678.518600, 10392.487600, 10105.255600, 9825.766000, 
-        9562.544400,  9294.222200,  9038.235200,  8784.848000,  8533.264400, 
-        8301.777600,  8058.308600,  7822.945800,  7599.113200,  7366.907800, 
-        7161.217000,  6957.530800,  6736.212000,  6548.212200,  6343.068400, 
-        6156.287200,  5975.154200,  5791.757200,  5621.320200,  5451.660000, 
-        5287.610400,  5118.094800,  4957.288000,  4798.424600,  4662.175600, 
-        4512.059000,  4364.685400,  4220.777200,  4082.672600,  3957.195200, 
-        3842.157800,  3699.332800,  3583.011800,  3473.896400,  3338.666400, 
-        3233.555600,  3117.799000,  3008.111000,  2909.691400,  2814.865000, 
-        2719.461200,  2624.742000,  2532.469800,  2444.788600,  2370.186800, 
-        2272.452600,  2196.192600,  2117.904200,  2023.297200,  1969.768200, 
-        1885.589800,  1833.282400,  1733.912000,  1682.549200,  1604.579800, 
-        1556.112400,  1491.306400,  1421.719600,  1371.229000,  1322.132400, 
-        1264.789200,  1196.239200,  1143.847400,  1088.672400,  1073.603800, 
-        1023.116600,  959.036400,   927.433200,   906.792800,   853.433600, 
-        841.873800,   791.105400,   756.900000,   704.343200,   672.495600, 
-        622.790400,   611.254800,   567.283200,   519.406600,   519.188400, 
-        495.312800,   451.350800,   443.973400,   431.882200,   392.027000, 
-        380.924200,   345.129000,   298.901400,   287.772000,   272.625000, 
-        247.253000,   222.490600,   223.590000,   196.407600,   176.426000, 
-        134.725200,   132.480400,   110.445600,   86.794000,    56.703800, 
-        64.915400,    38.372600,    37.160600,    46.171000,    49.171600, 
-        15.336200,    6.716400,     -34.818600,   -39.447600,   12.683000, 
-        -12.333200,   -50.656600,   -59.953800,   -65.105400,   -70.757600, 
-        -106.325200,  -126.852200,  -110.227600,  -132.886000,  -113.897200, 
-        -142.713800,  -151.145400,  -150.799200,  -177.756200,  -156.036400, 
-        -182.735200,  -177.259400,  -198.663600,  -174.577600,  -193.845800 
-    }} 
-}, 
- 
-// Precision 17 
-{ 
-    {{ 
-        94542.000000,  96125.811000,  97728.019000,  99348.558000,  100987.970500, 
-        102646.756500, 104324.512500, 106021.743500, 107736.786500, 109469.272000, 
-        111223.946500, 112995.219000, 114787.432000, 116593.152000, 118422.710000, 
-        120267.234500, 122134.676500, 124020.937000, 125927.270500, 127851.255000, 
-        129788.948500, 131751.016000, 133726.822500, 135722.592000, 137736.789000, 
-        139770.568000, 141821.518000, 143891.343000, 145982.141500, 148095.387000, 
-        150207.526000, 152355.649000, 154515.641500, 156696.050000, 158887.757500, 
-        161098.159000, 163329.852000, 165569.053000, 167837.400500, 170121.616500, 
-        172420.459500, 174732.626500, 177062.770000, 179412.502000, 181774.035000, 
-        184151.939000, 186551.689500, 188965.691000, 191402.809500, 193857.949000, 
-        196305.077500, 198774.671500, 201271.258500, 203764.780000, 206299.369500, 
-        208818.136500, 211373.115000, 213946.746500, 216532.076000, 219105.541000, 
-        221714.537500, 224337.513500, 226977.512500, 229613.065500, 232270.268500, 
-        234952.206500, 237645.355500, 240331.192500, 243034.517000, 245756.072500, 
-        248517.686500, 251232.737000, 254011.395500, 256785.995000, 259556.440000, 
-        262368.335000, 265156.911000, 267965.266000, 270785.583000, 273616.049500, 
-        276487.483500, 279346.639000, 282202.509000, 285074.388500, 287942.285500, 
-        290856.018000, 293774.034500, 296678.514500, 299603.635500, 302552.657500, 
-        305492.978500, 308466.860500, 311392.581000, 314347.538000, 317319.429500, 
-        320285.978500, 323301.732500, 326298.323500, 329301.310500, 332301.987000, 
-        335309.791000, 338370.762000, 341382.923000, 344431.126500, 347464.154500, 
-        350507.280000, 353619.234500, 356631.200500, 359685.203000, 362776.784500, 
-        365886.488000, 368958.225500, 372060.682500, 375165.433500, 378237.935000, 
-        381328.311000, 384430.522500, 387576.425000, 390683.242000, 393839.648000, 
-        396977.842500, 400101.980500, 403271.296000, 406409.842500, 409529.548500, 
-        412678.700000, 415847.423000, 419020.803500, 422157.081000, 425337.749000, 
-        428479.616500, 431700.902000, 434893.191500, 438049.582000, 441210.541500, 
-        444379.254500, 447577.356000, 450741.931000, 453959.548000, 457137.093500, 
-        460329.846000, 463537.481500, 466732.334500, 469960.561500, 473164.681000, 
-        476347.634500, 479496.173000, 482813.164500, 486025.699500, 489249.488500, 
-        492460.194500, 495675.880500, 498908.007500, 502131.802000, 505374.385500, 
-        508550.991500, 511806.730500, 515026.776000, 518217.000500, 521523.985500, 
-        524705.985500, 527950.997000, 531210.026500, 534472.497000, 537750.731500, 
-        540926.922000, 544207.094000, 547429.434500, 550666.374500, 553975.347500, 
-        557150.718500, 560399.616500, 563662.697000, 566916.739500, 570146.121500, 
-        573447.425000, 576689.624500, 579874.574500, 583202.337000, 586503.025500, 
-        589715.635000, 592910.161000, 596214.388500, 599488.035000, 602740.920000, 
-        605983.068500, 609248.670000, 612491.360500, 615787.912000, 619107.524500, 
-        622307.955500, 625577.333000, 628840.438500, 632085.215500, 635317.613500, 
-        638691.719500, 641887.467000, 645139.940500, 648441.546000, 651666.252000, 
-        654941.845000 
-    }}, 
-    {{ 
-        94541.000000, 92848.811000, 91174.019000, 89517.558000, 87879.970500, 
-        86262.756500, 84663.512500, 83083.743500, 81521.786500, 79977.272000, 
-        78455.946500, 76950.219000, 75465.432000, 73994.152000, 72546.710000, 
-        71115.234500, 69705.676500, 68314.937000, 66944.270500, 65591.255000, 
-        64252.948500, 62938.016000, 61636.822500, 60355.592000, 59092.789000, 
-        57850.568000, 56624.518000, 55417.343000, 54231.141500, 53067.387000, 
-        51903.526000, 50774.649000, 49657.641500, 48561.050000, 47475.757500, 
-        46410.159000, 45364.852000, 44327.053000, 43318.400500, 42325.616500, 
-        41348.459500, 40383.626500, 39436.770000, 38509.502000, 37594.035000, 
-        36695.939000, 35818.689500, 34955.691000, 34115.809500, 33293.949000, 
-        32465.077500, 31657.671500, 30877.258500, 30093.780000, 29351.369500, 
-        28594.136500, 27872.115000, 27168.746500, 26477.076000, 25774.541000, 
-        25106.537500, 24452.513500, 23815.512500, 23174.065500, 22555.268500, 
-        21960.206500, 21376.355500, 20785.192500, 20211.517000, 19657.072500, 
-        19141.686500, 18579.737000, 18081.395500, 17578.995000, 17073.440000, 
-        16608.335000, 16119.911000, 15651.266000, 15194.583000, 14749.049500, 
-        14343.483500, 13925.639000, 13504.509000, 13099.388500, 12691.285500, 
-        12328.018000, 11969.034500, 11596.514500, 11245.635500, 10917.657500, 
-        10580.978500, 10277.860500, 9926.581000,  9605.538000,  9300.429500, 
-        8989.978500,  8728.732500,  8448.323500,  8175.310500,  7898.987000, 
-        7629.791000,  7413.762000,  7149.923000,  6921.126500,  6677.154500, 
-        6443.280000,  6278.234500,  6014.200500,  5791.203000,  5605.784500, 
-        5438.488000,  5234.225500,  5059.682500,  4887.433500,  4682.935000, 
-        4496.311000,  4322.522500,  4191.425000,  4021.242000,  3900.648000, 
-        3762.842500,  3609.980500,  3502.296000,  3363.842500,  3206.548500, 
-        3079.700000,  2971.423000,  2867.803500,  2727.081000,  2630.749000, 
-        2496.616500,  2440.902000,  2356.191500,  2235.582000,  2120.541500, 
-        2012.254500,  1933.356000,  1820.931000,  1761.548000,  1663.093500, 
-        1578.846000,  1509.481500,  1427.334500,  1379.561500,  1306.681000, 
-        1212.634500,  1084.173000,  1124.164500,  1060.699500,  1007.488500, 
-        941.194500,   879.880500,   836.007500,   782.802000,   748.385500, 
-        647.991500,   626.730500,   570.776000,   484.000500,   513.985500, 
-        418.985500,   386.997000,   370.026500,   355.497000,   356.731500, 
-        255.922000,   259.094000,   205.434500,   165.374500,   197.347500, 
-        95.718500,    67.616500,    54.697000,    31.739500,    -15.878500, 
-        8.425000,     -26.375500,   -118.425500,  -66.663000,   -42.974500, 
-        -107.365000,  -189.839000,  -162.611500,  -164.965000,  -189.080000, 
-        -223.931500,  -235.330000,  -269.639500,  -249.088000,  -206.475500, 
-        -283.044500,  -290.667000,  -304.561500,  -336.784500,  -380.386500, 
-        -283.280500,  -364.533000,  -389.059500,  -364.454000,  -415.748000, 
-        -417.155000 
-    }} 
-}, 
- 
-// Precision 18 
-{ 
-    {{ 
-        189084.000000,  192250.913000,  195456.774000,  198696.946000, 
-        201977.762000,  205294.444000,  208651.754000,  212042.099000, 
-        215472.269000,  218941.910000,  222443.912000,  225996.845000, 
-        229568.199000,  233193.568000,  236844.457000,  240543.233000, 
-        244279.475000,  248044.270000,  251854.588000,  255693.200000, 
-        259583.619000,  263494.621000,  267445.385000,  271454.061000, 
-        275468.769000,  279549.456000,  283646.446000,  287788.198000, 
-        291966.099000,  296181.164000,  300431.469000,  304718.618000, 
-        309024.004000,  313393.508000,  317760.803000,  322209.731000, 
-        326675.061000,  331160.627000,  335654.470000,  340241.442000, 
-        344841.833000,  349467.132000,  354130.629000,  358819.432000, 
-        363574.626000,  368296.587000,  373118.482000,  377914.930000, 
-        382782.301000,  387680.669000,  392601.981000,  397544.323000, 
-        402529.115000,  407546.018000,  412593.658000,  417638.657000, 
-        422762.865000,  427886.169000,  433017.167000,  438213.273000, 
-        443441.254000,  448692.421000,  453937.533000,  459239.049000, 
-        464529.569000,  469910.083000,  475274.030000,  480684.473000, 
-        486070.260000,  491515.237000,  496995.651000,  502476.617000, 
-        507973.609000,  513497.190000,  519083.233000,  524726.509000, 
-        530305.505000,  535945.728000,  541584.404000,  547274.055000, 
-        552967.236000,  558667.862000,  564360.216000,  570128.148000, 
-        575965.080000,  581701.952000,  587532.523000,  593361.144000, 
-        599246.128000,  605033.418000,  610958.779000,  616837.117000, 
-        622772.818000,  628672.040000,  634675.369000,  640574.831000, 
-        646585.739000,  652574.547000,  658611.217000,  664642.684000, 
-        670713.914000,  676737.681000,  682797.313000,  688837.897000, 
-        694917.874000,  701009.882000,  707173.648000,  713257.254000, 
-        719415.392000,  725636.761000,  731710.697000,  737906.209000, 
-        744103.074000,  750313.390000,  756504.185000,  762712.579000, 
-        768876.985000,  775167.859000,  781359.000000,  787615.959000, 
-        793863.597000,  800245.477000,  806464.582000,  812785.294000, 
-        819005.925000,  825403.057000,  831676.197000,  837936.284000, 
-        844266.968000,  850642.711000,  856959.756000,  863322.774000, 
-        869699.931000,  876102.478000,  882355.787000,  888694.463000, 
-        895159.952000,  901536.143000,  907872.631000,  914293.672000, 
-        920615.140000,  927130.974000,  933409.404000,  939922.178000, 
-        946331.470000,  952745.930000,  959209.264000,  965590.224000, 
-        972077.284000,  978501.961000,  984953.190000,  991413.271000, 
-        997817.479000,  1004222.658000, 1010725.676000, 1017177.138000, 
-        1023612.529000, 1030098.236000, 1036493.719000, 1043112.207000, 
-        1049537.036000, 1056008.096000, 1062476.184000, 1068942.337000, 
-        1075524.950000, 1081932.864000, 1088426.025000, 1094776.005000, 
-        1101327.448000, 1107901.673000, 1114423.639000, 1120884.602000, 
-        1127324.923000, 1133794.240000, 1140328.886000, 1146849.376000, 
-        1153346.682000, 1159836.502000, 1166478.703000, 1172953.304000, 
-        1179391.502000, 1185950.982000, 1192544.052000, 1198913.410000, 
-        1205430.994000, 1212015.525000, 1218674.042000, 1225121.683000, 
-        1231551.101000, 1238126.379000, 1244673.795000, 1251260.649000, 
-        1257697.860000, 1264320.983000, 1270736.319000, 1277274.694000, 
-        1283804.950000, 1290211.514000, 1296858.568000, 1303455.691000 
-    }}, 
-    {{ 
-        189083.000000, 185696.913000, 182348.774000, 179035.946000, 175762.762000, 
-        172526.444000, 169329.754000, 166166.099000, 163043.269000, 159958.910000, 
-        156907.912000, 153906.845000, 150924.199000, 147996.568000, 145093.457000, 
-        142239.233000, 139421.475000, 136632.270000, 133889.588000, 131174.200000, 
-        128511.619000, 125868.621000, 123265.385000, 120721.061000, 118181.769000, 
-        115709.456000, 113252.446000, 110840.198000, 108465.099000, 106126.164000, 
-        103823.469000, 101556.618000, 99308.004000,  97124.508000,  94937.803000, 
-        92833.731000,  90745.061000,  88677.627000,  86617.470000,  84650.442000, 
-        82697.833000,  80769.132000,  78879.629000,  77014.432000,  75215.626000, 
-        73384.587000,  71652.482000,  69895.930000,  68209.301000,  66553.669000, 
-        64921.981000,  63310.323000,  61742.115000,  60205.018000,  58698.658000, 
-        57190.657000,  55760.865000,  54331.169000,  52908.167000,  51550.273000, 
-        50225.254000,  48922.421000,  47614.533000,  46362.049000,  45098.569000, 
-        43926.083000,  42736.030000,  41593.473000,  40425.260000,  39316.237000, 
-        38243.651000,  37170.617000,  36114.609000,  35084.190000,  34117.233000, 
-        33206.509000,  32231.505000,  31318.728000,  30403.404000,  29540.055000, 
-        28679.236000,  27825.862000,  26965.216000,  26179.148000,  25462.080000, 
-        24645.952000,  23922.523000,  23198.144000,  22529.128000,  21762.418000, 
-        21134.779000,  20459.117000,  19840.818000,  19187.040000,  18636.369000, 
-        17982.831000,  17439.739000,  16874.547000,  16358.217000,  15835.684000, 
-        15352.914000,  14823.681000,  14329.313000,  13816.897000,  13342.874000, 
-        12880.882000,  12491.648000,  12021.254000,  11625.392000,  11293.761000, 
-        10813.697000,  10456.209000,  10099.074000,  9755.390000,   9393.185000, 
-        9047.579000,   8657.985000,   8395.859000,   8033.000000,   7736.959000, 
-        7430.597000,   7258.477000,   6924.582000,   6691.294000,   6357.925000, 
-        6202.057000,   5921.197000,   5628.284000,   5404.968000,   5226.711000, 
-        4990.756000,   4799.774000,   4622.931000,   4472.478000,   4171.787000, 
-        3957.463000,   3868.952000,   3691.143000,   3474.631000,   3341.672000, 
-        3109.140000,   3071.974000,   2796.404000,   2756.178000,   2611.470000, 
-        2471.930000,   2382.264000,   2209.224000,   2142.284000,   2013.961000, 
-        1911.190000,   1818.271000,   1668.479000,   1519.658000,   1469.676000, 
-        1367.138000,   1248.529000,   1181.236000,   1022.719000,   1088.207000, 
-        959.036000,    876.096000,    791.184000,    703.337000,    731.950000, 
-        586.864000,    526.025000,    323.005000,    320.448000,    340.673000, 
-        309.639000,    216.602000,    102.923000,    19.240000,     -0.114000, 
-        -32.624000,    -89.318000,    -153.498000,   -64.297000,    -143.696000, 
-        -259.498000,   -253.018000,   -213.948000,   -397.590000,   -434.006000, 
-        -403.475000,   -297.958000,   -404.317000,   -528.899000,   -506.621000, 
-        -513.205000,   -479.351000,   -596.140000,   -527.017000,   -664.681000, 
-        -680.306000,   -704.050000,   -850.486000,   -757.432000,   -713.309000 
-    }} 
-} 
+// Precision 4
+{
+    {{
+        11.000000, 11.717000, 12.207000, 12.789600, 13.288200, 13.820400,
+        14.377200, 14.934200, 15.520200, 16.161000, 16.772200, 17.463600,
+        18.039600, 18.676600, 19.356600, 20.045400, 20.793600, 21.485600,
+        22.266600, 22.994600, 23.766000, 24.469200, 25.363800, 26.076400,
+        26.786400, 27.760200, 28.481400, 29.433000, 30.292600, 31.066400,
+        31.999600, 32.795600, 33.536600, 34.589400, 35.573800, 36.269800,
+        37.368200, 38.054400, 39.234200, 40.010800, 40.796600, 41.929800,
+        42.870400, 43.635800, 44.519400, 45.773000, 46.677200, 47.617400,
+        48.488800, 49.330400, 50.250600, 51.499600, 52.382400, 53.307800,
+        54.398400, 55.583800, 56.661800, 57.217400, 58.351400, 59.080200,
+        60.148200, 61.037600, 62.359800, 62.807800, 63.974400, 64.914000,
+        65.781000, 67.180600, 68.059400, 68.844600, 69.792800, 70.824800,
+        71.832400, 72.859800, 73.624600, 74.701400, 75.393000, 76.670800,
+        77.239400
+    }},
+    {{
+        10.000000, 9.717000,  9.207000,  8.789600,  8.288200,  7.820400,
+        7.377200,  6.934200,  6.520200,  6.161000,  5.772200,  5.463600,
+        5.039600,  4.676600,  4.356600,  4.045400,  3.793600,  3.485600,
+        3.266600,  2.994600,  2.766000,  2.469200,  2.363800,  2.076400,
+        1.786400,  1.760200,  1.481400,  1.433000,  1.292600,  1.066400,
+        0.999600,  0.795600,  0.536600,  0.589400,  0.573800,  0.269800,
+        0.368200,  0.054400,  0.234200,  0.010800,  -0.203400, -0.070200,
+        -0.129600, -0.364200, -0.480600, -0.227000, -0.322800, -0.382600,
+        -0.511200, -0.669600, -0.749400, -0.500400, -0.617600, -0.692200,
+        -0.601600, -0.416200, -0.338200, -0.782600, -0.648600, -0.919800,
+        -0.851800, -0.962400, -0.640200, -1.192200, -1.025600, -1.086000,
+        -1.219000, -0.819400, -0.940600, -1.155400, -1.207200, -1.175200,
+        -1.167600, -1.140200, -1.375400, -1.298600, -1.607000, -1.329200,
+        -1.760600
+    }}
+},
+
+// Precision 5
+{
+    {{
+        23.000000,  23.119400,  23.820800,  24.231800,  24.770000,  25.243600,
+        25.777400,  26.284800,  26.822400,  27.374200,  27.933600,  28.503000,
+        29.049400,  29.629200,  30.212400,  30.798000,  31.367000,  31.972800,
+        32.594400,  33.217000,  33.843800,  34.369600,  35.095600,  35.704400,
+        36.324000,  37.066800,  37.669800,  38.364400,  39.049000,  39.691800,
+        40.414600,  41.082000,  41.687000,  42.539800,  43.246200,  43.857000,
+        44.660600,  45.416800,  46.124800,  46.922200,  47.680400,  48.447000,
+        49.345400,  49.959400,  50.763600,  51.577600,  52.331000,  53.190000,
+        53.967600,  54.756400,  55.531400,  56.444200,  57.370800,  57.977400,
+        58.962400,  59.879600,  60.755000,  61.472000,  62.207600,  63.102400,
+        63.890800,  64.733800,  65.772800,  66.629000,  67.413000,  68.326600,
+        69.152400,  70.264200,  71.180600,  72.056600,  72.919200,  73.759800,
+        74.351600,  75.580200,  76.438600,  77.491600,  78.152400,  79.189200,
+        79.841400,  80.879800,  81.837600,  82.469800,  83.765600,  84.331000,
+        85.591400,  86.601200,  87.701600,  88.558200,  89.339400,  90.354400,
+        91.491200,  92.308000,  93.355200,  93.974600,  95.205200,  95.727000,
+        97.132200,  98.394400,  98.758800,  100.242000, 101.191400, 102.253800,
+        102.877600, 103.629200, 105.193200, 105.915200, 107.086800, 107.672800,
+        108.714400, 110.311400, 110.871600, 111.245000, 112.790800, 113.706400,
+        114.636000, 115.746400, 116.178800, 117.746400, 118.489600, 119.616600,
+        120.508200, 121.779800, 122.902800, 123.442600, 124.885400, 125.705000,
+        126.465200, 128.346200, 128.346400, 130.039800, 131.004200, 131.034200,
+        132.476600, 133.511000, 134.725200, 135.425000, 136.517200, 138.057200,
+        138.669400, 139.371200, 140.859800, 141.459400, 142.554000, 143.400600,
+        144.737400, 146.163400, 146.899400, 147.605000, 147.930400, 149.163600,
+        150.246800, 151.587600, 152.209600, 153.703200, 154.714600, 155.807000,
+        156.922800, 157.037200, 158.585200
+    }},
+    {{
+        22.000000, 21.119400, 20.820800, 20.231800, 19.770000, 19.243600,
+        18.777400, 18.284800, 17.822400, 17.374200, 16.933600, 16.503000,
+        16.049400, 15.629200, 15.212400, 14.798000, 14.367000, 13.972800,
+        13.594400, 13.217000, 12.843800, 12.369600, 12.095600, 11.704400,
+        11.324000, 11.066800, 10.669800, 10.364400, 10.049000, 9.691800,
+        9.414600,  9.082000,  8.687000,  8.539800,  8.246200,  7.857000,
+        7.660600,  7.416800,  7.124800,  6.922200,  6.680400,  6.447000,
+        6.345400,  5.959400,  5.763600,  5.577600,  5.331000,  5.190000,
+        4.967600,  4.756400,  4.531400,  4.444200,  4.370800,  3.977400,
+        3.962400,  3.879600,  3.755000,  3.472000,  3.207600,  3.102400,
+        2.890800,  2.733800,  2.772800,  2.629000,  2.413000,  2.326600,
+        2.152400,  2.264200,  2.180600,  2.056600,  1.919200,  1.759800,
+        1.351600,  1.580200,  1.438600,  1.491600,  1.152400,  1.189200,
+        0.841400,  0.879800,  0.837600,  0.469800,  0.765600,  0.331000,
+        0.591400,  0.601200,  0.701600,  0.558200,  0.339400,  0.354400,
+        0.491200,  0.308000,  0.355200,  -0.025400, 0.205200,  -0.273000,
+        0.132200,  0.394400,  -0.241200, 0.242000,  0.191400,  0.253800,
+        -0.122400, -0.370800, 0.193200,  -0.084800, 0.086800,  -0.327200,
+        -0.285600, 0.311400,  -0.128400, -0.755000, -0.209200, -0.293600,
+        -0.364000, -0.253600, -0.821200, -0.253600, -0.510400, -0.383400,
+        -0.491800, -0.220200, -0.097200, -0.557400, -0.114600, -0.295000,
+        -0.534800, -0.653800, 0.346400,  0.039800,  -0.995800, 0.034200,
+        -0.523400, -0.489000, -0.274800, -0.575000, -0.482800, 0.057200,
+        -0.330600, -0.628800, -0.140200, -0.540600, -0.446000, -0.599400,
+        -0.262600, 0.163400,  -0.100600, -0.395000, -1.069600, -0.836400,
+        -0.753200, -0.412400, -0.790400, -0.296800, -0.285400, -0.193000,
+        -0.077200, -0.962800, -0.414800
+    }}
+},
+
+// Precision 6
+{
+    {{
+        46.000000,  46.190200,  47.271000,  47.835800,  48.814200,  49.285400,
+        50.317000,  51.354000,  51.892400,  52.943600,  53.459600,  54.526200,
+        55.624800,  56.157400,  57.282200,  57.837000,  58.963600,  60.074000,
+        60.704200,  61.797600,  62.477200,  63.656400,  64.794200,  65.500400,
+        66.686000,  67.291000,  68.567200,  69.855600,  70.498200,  71.820400,
+        72.425200,  73.774400,  75.078600,  75.834400,  77.029400,  77.809800,
+        79.079400,  80.573200,  81.187800,  82.564800,  83.290200,  84.678400,
+        85.335200,  86.894600,  88.371200,  89.085200,  90.499000,  91.268600,
+        92.684400,  94.223400,  94.973200,  96.335600,  97.228600,  98.726200,
+        100.328400, 101.104800, 102.596200, 103.356200, 105.127200, 106.418400,
+        107.497400, 109.082200, 109.856000, 111.480000, 113.283400, 114.020800,
+        115.637000, 116.517400, 118.057600, 119.747600, 120.427000, 122.132600,
+        123.237200, 125.278800, 126.677600, 127.792600, 129.195200, 129.956400,
+        131.645400, 133.870000, 134.542800, 136.200000, 137.029400, 138.627800,
+        139.678200, 141.792000, 143.351600, 144.283200, 146.039400, 147.074800,
+        148.491200, 150.849000, 151.696000, 153.540400, 154.073000, 156.371400,
+        157.721600, 158.732800, 160.420800, 161.418400, 163.942400, 165.277200,
+        166.411000, 168.130800, 168.769000, 170.925800, 172.682800, 173.750200,
+        175.706000, 176.388600, 179.018600, 180.451800, 181.927000, 183.417200,
+        184.411400, 186.033000, 188.512400, 189.556400, 191.600800, 192.417200,
+        193.804400, 194.997000, 197.454800, 198.894800, 200.234600, 202.308600,
+        203.154800, 204.884200, 206.650800, 206.677200, 209.725400, 210.475200,
+        212.722800, 214.661400, 215.167600, 217.793000, 218.000600, 219.905200,
+        221.660000, 223.558800, 225.163600, 225.688200, 227.712600, 229.450200,
+        231.197800, 232.975600, 233.165400, 236.727000, 237.747400, 238.197400,
+        241.134600, 242.304800, 244.194800, 245.313400, 246.879000, 249.120400,
+        249.853000, 252.679200, 253.857000, 254.448600, 257.236200, 257.953400,
+        260.028600, 260.563200, 262.663000, 264.723000, 265.756600, 267.162400,
+        267.256600, 270.620000, 272.821600, 273.216600, 275.205600, 276.220200,
+        278.372600, 280.334400, 281.928400, 283.972800, 284.192400, 286.487200,
+        287.587000, 289.807000, 291.120600, 292.769000, 294.870800, 296.665000,
+        297.118200, 299.401200, 300.635200, 302.135400, 304.175600, 306.160600,
+        307.346200, 308.521400, 309.413400, 310.835200, 313.968400, 315.837000,
+        316.779600, 318.985800
+    }},
+    {{
+        45.000000, 44.190200, 43.271000, 42.835800, 41.814200, 41.285400,
+        40.317000, 39.354000, 38.892400, 37.943600, 37.459600, 36.526200,
+        35.624800, 35.157400, 34.282200, 33.837000, 32.963600, 32.074000,
+        31.704200, 30.797600, 30.477200, 29.656400, 28.794200, 28.500400,
+        27.686000, 27.291000, 26.567200, 25.855600, 25.498200, 24.820400,
+        24.425200, 23.774400, 23.078600, 22.834400, 22.029400, 21.809800,
+        21.079400, 20.573200, 20.187800, 19.564800, 19.290200, 18.678400,
+        18.335200, 17.894600, 17.371200, 17.085200, 16.499000, 16.268600,
+        15.684400, 15.223400, 14.973200, 14.335600, 14.228600, 13.726200,
+        13.328400, 13.104800, 12.596200, 12.356200, 12.127200, 11.418400,
+        11.497400, 11.082200, 10.856000, 10.480000, 10.283400, 10.020800,
+        9.637000,  9.517400,  9.057600,  8.747600,  8.427000,  8.132600,
+        8.237200,  8.278800,  7.677600,  7.792600,  7.195200,  6.956400,
+        6.645400,  6.870000,  6.542800,  6.200000,  6.029400,  5.627800,
+        5.678200,  5.792000,  5.351600,  5.283200,  5.039400,  5.074800,
+        4.491200,  4.849000,  4.696000,  4.540400,  4.073000,  4.371400,
+        3.721600,  3.732800,  3.420800,  3.418400,  3.942400,  3.277200,
+        3.411000,  3.130800,  2.769000,  2.925800,  2.682800,  2.750200,
+        2.706000,  2.388600,  3.018600,  2.451800,  2.927000,  2.417200,
+        2.411400,  2.033000,  2.512400,  2.556400,  2.600800,  2.417200,
+        1.804400,  1.997000,  2.454800,  1.894800,  2.234600,  2.308600,
+        2.154800,  1.884200,  1.650800,  0.677200,  1.725400,  1.475200,
+        1.722800,  1.661400,  1.167600,  1.793000,  1.000600,  0.905200,
+        0.660000,  1.558800,  1.163600,  0.688200,  0.712600,  0.450200,
+        1.197800,  0.975600,  0.165400,  1.727000,  -0.252600, 1.197400,
+        1.134600,  1.304800,  1.194800,  0.313400,  0.879000,  1.120400,
+        0.853000,  1.679200,  0.857000,  0.448600,  1.236200,  0.953400,
+        1.028600,  0.563200,  0.663000,  0.723000,  0.756600,  -0.837600,
+        0.256600,  0.620000,  0.821600,  0.216600,  0.205600,  0.220200,
+        0.372600,  0.334400,  0.928400,  0.972800,  0.192400,  0.487200,
+        -0.413000, 0.807000,  0.120600,  0.769000,  0.870800,  0.665000,
+        0.118200,  0.401200,  0.635200,  0.135400,  0.175600,  1.160600,
+        0.346200,  0.521400,  -0.586600, -1.164800, 0.968400,  0.837000,
+        0.779600,  0.985800
+    }}
+},
+
+// Precision 7
+{
+    {{
+        92.000000,  93.493400,  94.975800,  96.457400,  97.971800,  99.495400,
+        101.530200, 103.075600, 104.637400, 106.178200, 107.788800, 109.952200,
+        111.592000, 113.253200, 114.908600, 116.593800, 118.947400, 120.679600,
+        122.439400, 124.217600, 125.976800, 128.421400, 130.252800, 132.010200,
+        133.865800, 135.727800, 138.304400, 140.131600, 142.093000, 144.003200,
+        145.909200, 148.630600, 150.529400, 152.575600, 154.650800, 156.662000,
+        159.552000, 161.372400, 163.617000, 165.575400, 167.787200, 169.844400,
+        172.798800, 174.860600, 177.211800, 179.356600, 181.447600, 184.588200,
+        186.681600, 189.082400, 191.025800, 193.604800, 196.443600, 198.727400,
+        200.957000, 203.147000, 205.436400, 208.759200, 211.338600, 213.781000,
+        215.802800, 218.656000, 221.654400, 223.996000, 226.471800, 229.154400,
+        231.609800, 234.595600, 237.061600, 239.575800, 242.487800, 244.524400,
+        248.214600, 250.724000, 252.872200, 255.519800, 258.041400, 261.941000,
+        264.904800, 266.870000, 269.430400, 272.028000, 274.470800, 278.370000,
+        281.062400, 283.466800, 286.553200, 289.435200, 293.256400, 295.274400,
+        298.211800, 300.747200, 304.145600, 307.292800, 309.750400, 312.552800,
+        315.979000, 318.210200, 322.183400, 324.349400, 327.325000, 330.661400,
+        332.903000, 337.254400, 339.904200, 343.215000, 345.286400, 348.081400,
+        352.676400, 355.301000, 357.139000, 360.658000, 363.173200, 366.590200,
+        369.953800, 373.082800, 375.922000, 378.990200, 382.732800, 386.453800,
+        388.113600, 391.223400, 394.087800, 396.708000, 401.155600, 404.185200,
+        406.637200, 409.682200, 412.779600, 416.607800, 418.491600, 422.131000,
+        424.537600, 428.198800, 432.211000, 434.450200, 438.528200, 440.912000,
+        444.044800, 447.743200, 450.852400, 453.798800, 456.785800, 458.886800,
+        463.988600, 466.506400, 468.912400, 472.661600, 475.468200, 478.582000,
+        481.304000, 485.273800, 488.689400, 490.329000, 496.106000, 497.690800,
+        501.137400, 504.532200, 506.884800, 510.332400, 513.451200, 516.179000,
+        520.441200, 522.606600, 526.167000, 528.779400, 533.379000, 536.067000,
+        538.460000, 542.911600, 545.692000, 547.954600, 552.493000, 555.272200,
+        557.335000, 562.449000, 564.201400, 569.073800, 571.097400, 574.856400,
+        578.299600, 581.409000, 583.970400, 585.809800, 589.652800, 594.599800,
+        595.958000, 600.068000, 603.327800, 608.201600, 609.963200, 612.864000,
+        615.430000, 620.779400, 621.272000, 625.864400, 629.206000, 633.219000,
+        634.515400, 638.610200
+    }},
+    {{
+        91.000000, 89.493400, 87.975800, 86.457400, 84.971800, 83.495400,
+        81.530200, 80.075600, 78.637400, 77.178200, 75.788800, 73.952200,
+        72.592000, 71.253200, 69.908600, 68.593800, 66.947400, 65.679600,
+        64.439400, 63.217600, 61.976800, 60.421400, 59.252800, 58.010200,
+        56.865800, 55.727800, 54.304400, 53.131600, 52.093000, 51.003200,
+        49.909200, 48.630600, 47.529400, 46.575600, 45.650800, 44.662000,
+        43.552000, 42.372400, 41.617000, 40.575400, 39.787200, 38.844400,
+        37.798800, 36.860600, 36.211800, 35.356600, 34.447600, 33.588200,
+        32.681600, 32.082400, 31.025800, 30.604800, 29.443600, 28.727400,
+        27.957000, 27.147000, 26.436400, 25.759200, 25.338600, 24.781000,
+        23.802800, 23.656000, 22.654400, 21.996000, 21.471800, 21.154400,
+        20.609800, 19.595600, 19.061600, 18.575800, 18.487800, 17.524400,
+        17.214600, 16.724000, 15.872200, 15.519800, 15.041400, 14.941000,
+        14.904800, 13.870000, 13.430400, 13.028000, 12.470800, 12.370000,
+        12.062400, 11.466800, 11.553200, 11.435200, 11.256400, 10.274400,
+        10.211800, 9.747200,  10.145600, 9.292800,  8.750400,  8.552800,
+        8.979000,  8.210200,  8.183400,  7.349400,  7.325000,  7.661400,
+        6.903000,  7.254400,  6.904200,  7.215000,  6.286400,  6.081400,
+        6.676400,  6.301000,  5.139000,  5.658000,  5.173200,  4.590200,
+        4.953800,  5.082800,  4.922000,  4.990200,  4.732800,  5.453800,
+        4.113600,  4.223400,  4.087800,  3.708000,  4.155600,  4.185200,
+        3.637200,  3.682200,  3.779600,  3.607800,  2.491600,  3.131000,
+        2.537600,  3.198800,  3.211000,  2.450200,  3.528200,  2.912000,
+        3.044800,  2.743200,  2.852400,  2.798800,  2.785800,  1.886800,
+        2.988600,  2.506400,  1.912400,  2.661600,  2.468200,  1.582000,
+        1.304000,  2.273800,  2.689400,  1.329000,  3.106000,  1.690800,
+        2.137400,  2.532200,  1.884800,  1.332400,  1.451200,  1.179000,
+        2.441200,  1.606600,  2.167000,  0.779400,  2.379000,  2.067000,
+        1.460000,  2.911600,  1.692000,  0.954600,  2.493000,  2.272200,
+        1.335000,  2.449000,  1.201400,  3.073800,  2.097400,  2.856400,
+        2.299600,  2.409000,  1.970400,  0.809800,  1.652800,  2.599800,
+        0.958000,  2.068000,  2.327800,  4.201600,  1.963200,  1.864000,
+        1.430000,  3.779400,  1.272000,  1.864400,  2.206000,  3.219000,
+        1.515400,  2.610200
+    }}
+},
+
+// Precision 8
+{
+    {{
+        184.215200,  187.245400,  190.209600,  193.665200,  196.631200,
+        199.682200,  203.249000,  206.329600,  210.003800,  213.207400,
+        216.461200,  220.270000,  223.517800,  227.441200,  230.803200,
+        234.163400,  238.168800,  241.607400,  245.694600,  249.266400,
+        252.822800,  257.043200,  260.682400,  264.946400,  268.626800,
+        272.262600,  276.837600,  280.403400,  284.895600,  288.852200,
+        292.763800,  297.355200,  301.355600,  305.752600,  309.929200,
+        313.895400,  318.819800,  322.766800,  327.298000,  331.668800,
+        335.946600,  340.974600,  345.167200,  349.347400,  354.302800,
+        358.891200,  364.114000,  368.464600,  372.974400,  378.409200,
+        382.602200,  387.843000,  392.568400,  397.165200,  402.542600,
+        407.415200,  412.538800,  417.359200,  422.136600,  427.486000,
+        432.391800,  437.507600,  442.509000,  447.383400,  453.349800,
+        458.066800,  463.734600,  469.122800,  473.452800,  479.700000,
+        484.644000,  491.051800,  495.577400,  500.906800,  506.432000,
+        512.166600,  517.434000,  522.664400,  527.489400,  533.631200,
+        538.380400,  544.292000,  550.549600,  556.023400,  562.820600,
+        566.614600,  572.418800,  579.117000,  583.676200,  590.657600,
+        595.786400,  601.509000,  607.533400,  612.920400,  619.772000,
+        624.292400,  630.865400,  636.183600,  642.745000,  649.131600,
+        655.038600,  660.013600,  666.634200,  671.619600,  678.186600,
+        684.428200,  689.332400,  695.479400,  702.503800,  708.129000,
+        713.528000,  720.320400,  726.463000,  732.792800,  739.123000,
+        744.741800,  751.219200,  756.510200,  762.606600,  769.018400,
+        775.222400,  781.401400,  787.761800,  794.143600,  798.650600,
+        805.637800,  811.766000,  819.751400,  824.577600,  828.732200,
+        837.804800,  843.630200,  849.933600,  854.479800,  861.338800,
+        867.989400,  873.819600,  880.313600,  886.230800,  892.458800,
+        899.081600,  905.407600,  912.006400,  917.387800,  923.619000,
+        929.998000,  937.348200,  943.950600,  947.991000,  955.114400,
+        962.203000,  968.822200,  975.732400,  981.782600,  988.766600,
+        994.264800,  1000.312800, 1007.408200, 1013.753600, 1020.337600,
+        1026.715600, 1031.747800, 1037.429200, 1045.393000, 1051.227800,
+        1058.343400, 1062.872600, 1071.884000, 1076.806000, 1082.917600,
+        1089.167800, 1095.503200, 1102.525000, 1107.226400, 1115.315000,
+        1120.930000, 1127.252000, 1134.149600, 1139.040800, 1147.544800,
+        1153.329600, 1158.197400, 1166.526200, 1174.332800, 1175.657000,
+        1184.422200, 1190.917200, 1197.129200, 1204.460600, 1210.457800,
+        1218.872800, 1225.333600, 1226.659200, 1236.576800, 1241.363000,
+        1249.407400, 1254.656600, 1260.801400, 1266.545400, 1274.519200
+    }},
+    {{
+        183.215200, 180.245400, 177.209600, 173.665200, 170.631200, 167.682200,
+        164.249000, 161.329600, 158.003800, 155.207400, 152.461200, 149.270000,
+        146.517800, 143.441200, 140.803200, 138.163400, 135.168800, 132.607400,
+        129.694600, 127.266400, 124.822800, 122.043200, 119.682400, 116.946400,
+        114.626800, 112.262600, 109.837600, 107.403400, 104.895600, 102.852200,
+        100.763800, 98.355200,  96.355600,  93.752600,  91.929200,  89.895400,
+        87.819800,  85.766800,  83.298000,  81.668800,  79.946600,  77.974600,
+        76.167200,  74.347400,  72.302800,  70.891200,  69.114000,  67.464600,
+        65.974400,  64.409200,  62.602200,  60.843000,  59.568400,  58.165200,
+        56.542600,  55.415200,  53.538800,  52.359200,  51.136600,  49.486000,
+        48.391800,  46.507600,  45.509000,  44.383400,  43.349800,  42.066800,
+        40.734600,  40.122800,  38.452800,  37.700000,  36.644000,  36.051800,
+        34.577400,  33.906800,  32.432000,  32.166600,  30.434000,  29.664400,
+        28.489400,  27.631200,  26.380400,  26.292000,  25.549600,  25.023400,
+        24.820600,  22.614600,  22.418800,  22.117000,  20.676200,  20.657600,
+        19.786400,  19.509000,  18.533400,  17.920400,  17.772000,  16.292400,
+        16.865400,  15.183600,  15.745000,  15.131600,  15.038600,  14.013600,
+        13.634200,  12.619600,  12.186600,  12.428200,  11.332400,  10.479400,
+        11.503800,  10.129000,  9.528000,   10.320400,  9.463000,   9.792800,
+        9.123000,   8.741800,   9.219200,   7.510200,   7.606600,   7.018400,
+        7.222400,   7.401400,   6.761800,   7.143600,   5.650600,   5.637800,
+        5.766000,   6.751400,   5.577600,   3.732200,   5.804800,   5.630200,
+        4.933600,   3.479800,   4.338800,   3.989400,   3.819600,   3.313600,
+        3.230800,   3.458800,   3.081600,   3.407600,   3.006400,   2.387800,
+        2.619000,   1.998000,   3.348200,   2.950600,   0.991000,   2.114400,
+        2.203000,   2.822200,   2.732400,   2.782600,   3.766600,   2.264800,
+        2.312800,   2.408200,   2.753600,   3.337600,   2.715600,   1.747800,
+        1.429200,   2.393000,   2.227800,   2.343400,   0.872600,   3.884000,
+        1.806000,   1.917600,   1.167800,   1.503200,   2.525000,   0.226400,
+        2.315000,   0.930000,   1.252000,   2.149600,   0.040800,   2.544800,
+        1.329600,   0.197400,   2.526200,   3.332800,   -1.343000,  0.422200,
+        0.917200,   1.129200,   1.460600,   1.457800,   2.872800,   3.333600,
+        -1.340800,  1.576800,   0.363000,   1.407400,   0.656600,   0.801400,
+        -0.454600,  1.519200
+    }}
+},
+
+// Precision 9
+{
+    {{
+        369.000000,  374.829400,  381.245200,  387.669800,  394.146400,
+        400.202400,  406.878200,  413.659800,  420.462000,  427.282600,
+        433.710200,  440.741600,  447.936600,  455.104600,  462.285000,
+        469.066800,  476.306000,  483.844800,  491.301000,  498.988600,
+        506.242200,  513.813800,  521.707400,  529.742800,  537.840200,
+        545.166400,  553.353400,  561.594000,  569.688600,  577.787600,
+        585.650000,  594.228000,  602.803600,  611.166600,  620.081800,
+        628.082400,  637.257400,  646.302000,  655.164400,  664.005600,
+        672.380200,  681.719200,  690.523400,  700.208400,  708.831000,
+        718.485000,  728.111200,  737.476400,  746.760000,  756.336800,
+        766.553800,  775.505800,  785.264600,  795.590200,  804.381800,
+        814.899800,  824.953200,  835.206200,  845.279800,  854.472800,
+        864.958200,  875.329200,  886.171000,  896.781000,  906.571600,
+        916.704800,  927.532200,  937.875000,  949.397200,  958.346400,
+        969.727400,  980.283400,  992.144400,  1003.426400, 1013.016600,
+        1024.018000, 1035.043800, 1046.340000, 1057.685600, 1068.983600,
+        1079.031200, 1091.677000, 1102.318800, 1113.484600, 1124.442400,
+        1135.739000, 1147.148800, 1158.920200, 1169.406000, 1181.534200,
+        1193.283400, 1203.895400, 1216.328600, 1226.214600, 1239.668400,
+        1251.994600, 1262.123000, 1275.433800, 1285.737800, 1296.076000,
+        1308.969200, 1320.496400, 1333.099800, 1343.986400, 1357.775400,
+        1368.320800, 1380.483800, 1392.738800, 1406.075800, 1416.909800,
+        1428.972800, 1440.922800, 1453.929200, 1462.617000, 1476.050000,
+        1490.299600, 1500.612800, 1513.739200, 1524.517400, 1536.632200,
+        1548.258400, 1562.376600, 1572.423000, 1587.123200, 1596.516400,
+        1610.593800, 1622.597200, 1633.122200, 1647.767400, 1658.504400,
+        1671.570000, 1683.704400, 1695.414200, 1708.710200, 1720.609400,
+        1732.652200, 1747.841000, 1756.407200, 1769.978600, 1782.327600,
+        1797.521600, 1808.318600, 1819.069400, 1834.354000, 1844.575000,
+        1856.280800, 1871.128800, 1880.785200, 1893.962200, 1906.341800,
+        1920.654800, 1932.930200, 1945.858400, 1955.473000, 1968.824800,
+        1980.644600, 1995.959800, 2008.349000, 2019.855600, 2033.033400,
+        2044.020600, 2059.395600, 2069.917400, 2082.608400, 2093.703600,
+        2106.610800, 2118.912400, 2132.301000, 2144.762800, 2159.842200,
+        2171.021200, 2183.101000, 2193.511200, 2208.052000, 2221.319400,
+        2233.328200, 2247.295000, 2257.722200, 2273.342000, 2286.563800,
+        2299.678600, 2310.811400, 2322.331200, 2335.516000, 2349.874000,
+        2363.596800, 2373.865000, 2387.191800, 2401.832800, 2414.849600,
+        2424.544000, 2436.759200, 2447.168200, 2464.195800, 2474.343800,
+        2489.000600, 2497.452600, 2513.658600, 2527.190000, 2540.702800,
+        2553.768000
+    }},
+    {{
+        368.000000, 361.829400, 355.245200, 348.669800, 342.146400, 336.202400,
+        329.878200, 323.659800, 317.462000, 311.282600, 305.710200, 299.741600,
+        293.936600, 288.104600, 282.285000, 277.066800, 271.306000, 265.844800,
+        260.301000, 254.988600, 250.242200, 244.813800, 239.707400, 234.742800,
+        229.840200, 225.166400, 220.353400, 215.594000, 210.688600, 205.787600,
+        201.650000, 197.228000, 192.803600, 188.166600, 184.081800, 180.082400,
+        176.257400, 172.302000, 168.164400, 164.005600, 160.380200, 156.719200,
+        152.523400, 149.208400, 145.831000, 142.485000, 139.111200, 135.476400,
+        131.760000, 129.336800, 126.553800, 122.505800, 119.264600, 116.590200,
+        113.381800, 110.899800, 107.953200, 105.206200, 102.279800, 99.472800,
+        96.958200,  94.329200,  92.171000,  89.781000,  87.571600,  84.704800,
+        82.532200,  79.875000,  78.397200,  75.346400,  73.727400,  71.283400,
+        70.144400,  68.426400,  66.016600,  64.018000,  62.043800,  60.340000,
+        58.685600,  57.983600,  55.031200,  54.677000,  52.318800,  51.484600,
+        49.442400,  47.739000,  46.148800,  44.920200,  43.406000,  42.534200,
+        41.283400,  38.895400,  38.328600,  36.214600,  36.668400,  35.994600,
+        33.123000,  33.433800,  31.737800,  29.076000,  28.969200,  27.496400,
+        27.099800,  25.986400,  26.775400,  24.320800,  23.483800,  22.738800,
+        24.075800,  21.909800,  20.972800,  19.922800,  19.929200,  16.617000,
+        17.050000,  18.299600,  15.612800,  15.739200,  14.517400,  13.632200,
+        12.258400,  13.376600,  11.423000,  13.123200,  9.516400,   10.593800,
+        9.597200,   8.122200,   9.767400,   7.504400,   7.570000,   6.704400,
+        6.414200,   6.710200,   5.609400,   4.652200,   6.841000,   3.407200,
+        3.978600,   3.327600,   5.521600,   3.318600,   2.069400,   4.354000,
+        1.575000,   0.280800,   2.128800,   -0.214800,  -0.037800,  -0.658200,
+        0.654800,   -0.069800,  0.858400,   -2.527000,  -2.175200,  -3.355400,
+        -1.040200,  -0.651000,  -2.144400,  -1.966600,  -3.979400,  -0.604400,
+        -3.082600,  -3.391600,  -5.296400,  -5.389200,  -5.087600,  -4.699000,
+        -5.237200,  -3.157800,  -4.978800,  -4.899000,  -7.488800,  -5.948000,
+        -5.680600,  -6.671800,  -4.705000,  -7.277800,  -4.658000,  -4.436200,
+        -4.321400,  -5.188600,  -6.668800,  -6.484000,  -5.126000,  -4.403200,
+        -6.135000,  -5.808200,  -4.167200,  -4.150400,  -7.456000,  -7.240800,
+        -9.831800,  -5.804200,  -8.656200,  -6.999400,  -10.547400, -7.341400,
+        -6.810000,  -6.297200,  -6.232000
+    }}
+},
+
+// Precision 10
+{
+    {{
+        738.125600,  750.423400,  763.106400,  775.473200,  788.463600,
+        801.064400,  814.488000,  827.965400,  841.083200,  854.786400,
+        868.199200,  882.217600,  896.522800,  910.171600,  924.775200,
+        938.899000,  953.612600,  968.649200,  982.947400,  998.521400,
+        1013.106400, 1028.636400, 1044.246800, 1059.458800, 1075.383200,
+        1091.058400, 1106.860600, 1123.386800, 1139.506200, 1156.186200,
+        1172.463000, 1189.339000, 1206.193600, 1223.129200, 1240.185400,
+        1257.290800, 1275.332400, 1292.851800, 1310.520400, 1328.485400,
+        1345.931800, 1364.552000, 1381.465800, 1400.425600, 1419.849000,
+        1438.152000, 1456.895600, 1474.879200, 1494.118000, 1513.620000,
+        1532.513200, 1551.932200, 1570.772600, 1590.608600, 1610.533200,
+        1630.591800, 1650.429400, 1669.766200, 1690.410600, 1710.733800,
+        1730.901200, 1750.448600, 1770.155600, 1791.633800, 1812.731200,
+        1833.626400, 1853.952600, 1874.874200, 1896.832600, 1918.196600,
+        1939.559400, 1961.070000, 1983.037000, 2003.180400, 2026.071000,
+        2047.488400, 2070.084800, 2091.294400, 2114.333000, 2135.962600,
+        2158.290200, 2181.081400, 2202.033400, 2224.483200, 2246.390000,
+        2269.720200, 2292.171400, 2314.235800, 2338.934600, 2360.891000,
+        2384.026400, 2408.383400, 2430.154400, 2454.868400, 2476.989600,
+        2501.436800, 2522.870200, 2548.040800, 2570.673800, 2593.520800,
+        2617.015800, 2640.230200, 2664.096200, 2687.498600, 2714.258800,
+        2735.391400, 2759.624400, 2781.837800, 2808.007200, 2830.651600,
+        2856.245400, 2877.213600, 2903.454600, 2926.785000, 2951.229400,
+        2976.468000, 3000.867000, 3023.650800, 3049.910000, 3073.598400,
+        3098.162000, 3121.556400, 3146.232800, 3170.948400, 3195.590200,
+        3221.334600, 3242.703200, 3271.611200, 3296.554600, 3317.737600,
+        3345.072000, 3369.951800, 3394.326000, 3418.181800, 3444.692600,
+        3469.086000, 3494.275400, 3517.869800, 3544.248000, 3565.376800,
+        3588.723400, 3616.979000, 3643.750400, 3668.681200, 3695.720000,
+        3719.739200, 3742.622400, 3770.445600, 3795.660200, 3819.905800,
+        3844.002000, 3869.517000, 3895.682400, 3920.862200, 3947.136400,
+        3973.985000, 3995.477200, 4021.620000, 4046.628000, 4074.650000,
+        4096.225600, 4121.831000, 4146.640600, 4173.276000, 4195.074400,
+        4223.969600, 4251.370800, 4272.996600, 4300.804600, 4326.302000,
+        4353.124800, 4374.312000, 4403.032200, 4426.819000, 4450.059800,
+        4478.520600, 4504.811600, 4528.892800, 4553.958400, 4578.871200,
+        4603.838400, 4632.387200, 4655.512800, 4675.821000, 4704.622200,
+        4731.986200, 4755.417400, 4781.262800, 4804.332000, 4832.304800,
+        4862.875200, 4883.414800, 4906.954400, 4935.351600, 4954.353200,
+        4984.024800, 5011.217000, 5035.325800, 5057.367200, 5084.182800
+    }},
+    {{
+        737.125600, 724.423400, 711.106400, 698.473200, 685.463600, 673.064400,
+        660.488000, 647.965400, 636.083200, 623.786400, 612.199200, 600.217600,
+        588.522800, 577.171600, 565.775200, 554.899000, 543.612600, 532.649200,
+        521.947400, 511.521400, 501.106400, 490.636400, 480.246800, 470.458800,
+        460.383200, 451.058400, 440.860600, 431.386800, 422.506200, 413.186200,
+        404.463000, 395.339000, 386.193600, 378.129200, 369.185400, 361.290800,
+        353.332400, 344.851800, 337.520400, 329.485400, 321.931800, 314.552000,
+        306.465800, 299.425600, 292.849000, 286.152000, 278.895600, 271.879200,
+        265.118000, 258.620000, 252.513200, 245.932200, 239.772600, 233.608600,
+        227.533200, 222.591800, 216.429400, 210.766200, 205.410600, 199.733800,
+        194.901200, 188.448600, 183.155600, 178.633800, 173.731200, 169.626400,
+        163.952600, 159.874200, 155.832600, 151.196600, 147.559400, 143.070000,
+        140.037000, 134.180400, 131.071000, 127.488400, 124.084800, 120.294400,
+        117.333000, 112.962600, 110.290200, 107.081400, 103.033400, 99.483200,
+        96.390000,  93.720200,  90.171400,  87.235800,  85.934600,  82.891000,
+        80.026400,  78.383400,  75.154400,  73.868400,  70.989600,  69.436800,
+        64.870200,  65.040800,  61.673800,  59.520800,  57.015800,  54.230200,
+        53.096200,  50.498600,  52.258800,  47.391400,  45.624400,  42.837800,
+        43.007200,  40.651600,  40.245400,  35.213600,  36.454600,  33.785000,
+        33.229400,  32.468000,  30.867000,  28.650800,  28.910000,  27.598400,
+        26.162000,  24.556400,  23.232800,  21.948400,  21.590200,  21.334600,
+        17.703200,  20.611200,  19.554600,  15.737600,  17.072000,  16.951800,
+        15.326000,  13.181800,  14.692600,  13.086000,  13.275400,  10.869800,
+        11.248000,  7.376800,   4.723400,   7.979000,   8.750400,   7.681200,
+        9.720000,   7.739200,   5.622400,   7.445600,   6.660200,   5.905800,
+        4.002000,   4.517000,   4.682400,   3.862200,   5.136400,   5.985000,
+        2.477200,   2.620000,   1.628000,   4.650000,   0.225600,   0.831000,
+        -0.359400,  1.276000,   -2.925600,  -0.030400,  2.370800,   -2.003400,
+        0.804600,   0.302000,   1.124800,   -2.688000,  0.032200,   -1.181000,
+        -3.940200,  -1.479400,  -0.188400,  -2.107200,  -2.041600,  -3.128800,
+        -4.161600,  -0.612800,  -3.487200,  -8.179000,  -5.377800,  -4.013800,
+        -5.582600,  -5.737200,  -7.668000,  -5.695200,  -1.124800,  -5.585200,
+        -8.045600,  -4.648400,  -11.646800, -7.975200,  -5.783000,  -7.674200,
+        -10.632800, -9.817200
+    }}
+},
+
+// Precision 11
+{
+    {{
+        1477.000000, 1501.601400,  1526.580200,  1551.794200,  1577.304200,
+        1603.206200, 1629.840200,  1656.229200,  1682.946200,  1709.992600,
+        1737.302600, 1765.425200,  1793.057800,  1821.609200,  1849.626000,
+        1878.556800, 1908.527000,  1937.515400,  1967.187400,  1997.387800,
+        2027.370000, 2058.197200,  2089.572800,  2120.101200,  2151.966800,
+        2183.292000, 2216.077200,  2247.857800,  2280.656200,  2313.041000,
+        2345.714000, 2380.311200,  2414.180600,  2447.985400,  2481.656000,
+        2516.346000, 2551.515400,  2586.837800,  2621.744800,  2656.672200,
+        2693.572200, 2729.146200,  2765.412400,  2802.872800,  2838.898000,
+        2876.408000, 2913.492600,  2951.493800,  2989.677600,  3026.282000,
+        3065.770400, 3104.101200,  3143.738800,  3181.687600,  3221.187200,
+        3261.504800, 3300.021400,  3339.806000,  3381.409000,  3421.414400,
+        3461.429400, 3502.228600,  3544.651000,  3586.615600,  3627.337000,
+        3670.083000, 3711.153800,  3753.509400,  3797.010000,  3838.668600,
+        3882.167800, 3922.811600,  3967.997800,  4009.920400,  4054.328600,
+        4097.570600, 4140.601400,  4185.544000,  4229.597600,  4274.583000,
+        4316.943800, 4361.672000,  4406.278600,  4451.862800,  4496.183400,
+        4543.505000, 4589.181600,  4632.518800,  4678.229400,  4724.890800,
+        4769.019400, 4817.052000,  4861.458800,  4910.159600,  4956.434400,
+        5002.523800, 5048.130000,  5093.637400,  5142.816200,  5187.789400,
+        5237.398400, 5285.607800,  5331.085800,  5379.103600,  5428.625800,
+        5474.601800, 5522.761800,  5571.582200,  5618.590000,  5667.999200,
+        5714.880000, 5763.454000,  5808.698200,  5860.364400,  5910.291400,
+        5953.571000, 6005.923200,  6055.191400,  6104.588200,  6154.570200,
+        6199.703600, 6251.176400,  6298.759600,  6350.030200,  6398.061000,
+        6448.469400, 6495.933000,  6548.047400,  6597.716600,  6646.941600,
+        6695.920800, 6742.632800,  6793.527600,  6842.193400,  6894.237200,
+        6945.386400, 6996.922800,  7044.237200,  7094.137400,  7142.227200,
+        7192.294200, 7238.833800,  7288.900600,  7344.090800,  7394.854400,
+        7443.517600, 7490.414800,  7542.931400,  7595.673800,  7641.987800,
+        7694.368800, 7743.044800,  7797.522000,  7845.530000,  7899.594000,
+        7950.313200, 7996.455000,  8050.944200,  8092.911400,  8153.137400,
+        8197.447200, 8252.827800,  8301.872800,  8348.677600,  8401.469800,
+        8453.551000, 8504.659800,  8553.894400,  8604.127600,  8657.651400,
+        8710.306200, 8758.908000,  8807.870600,  8862.170200,  8910.466800,
+        8960.770000, 9007.276600,  9063.164000,  9121.053400,  9164.135400,
+        9218.159400, 9267.767000,  9319.059400,  9372.155000,  9419.712600,
+        9474.372200, 9520.133800,  9572.368000,  9622.770200,  9675.844800,
+        9726.539600, 9778.737800,  9827.655400,  9878.192200,  9928.778200,
+        9978.398400, 10026.578000, 10076.562600, 10137.161800, 10177.524400,
+        10229.917600
+    }},
+    {{
+        1476.000000, 1449.601400, 1423.580200, 1397.794200, 1372.304200,
+        1347.206200, 1321.840200, 1297.229200, 1272.946200, 1248.992600,
+        1225.302600, 1201.425200, 1178.057800, 1155.609200, 1132.626000,
+        1110.556800, 1088.527000, 1066.515400, 1045.187400, 1024.387800,
+        1003.370000, 982.197200,  962.572800,  942.101200,  922.966800,
+        903.292000,  884.077200,  864.857800,  846.656200,  828.041000,
+        809.714000,  792.311200,  775.180600,  757.985400,  740.656000,
+        724.346000,  707.515400,  691.837800,  675.744800,  659.672200,
+        645.572200,  630.146200,  614.412400,  600.872800,  585.898000,
+        572.408000,  558.492600,  544.493800,  531.677600,  517.282000,
+        505.770400,  493.101200,  480.738800,  467.687600,  456.187200,
+        445.504800,  433.021400,  420.806000,  411.409000,  400.414400,
+        389.429400,  379.228600,  369.651000,  360.615600,  350.337000,
+        342.083000,  332.153800,  322.509400,  315.010000,  305.668600,
+        298.167800,  287.811600,  280.997800,  271.920400,  265.328600,
+        257.570600,  249.601400,  242.544000,  235.597600,  229.583000,
+        220.943800,  214.672000,  208.278600,  201.862800,  195.183400,
+        191.505000,  186.181600,  178.518800,  172.229400,  167.890800,
+        161.019400,  158.052000,  151.458800,  148.159600,  143.434400,
+        138.523800,  133.130000,  127.637400,  124.816200,  118.789400,
+        117.398400,  114.607800,  109.085800,  105.103600,  103.625800,
+        98.601800,   95.761800,   93.582200,   88.590000,   86.999200,
+        82.880000,   80.454000,   74.698200,   74.364400,   73.291400,
+        65.571000,   66.923200,   65.191400,   62.588200,   61.570200,
+        55.703600,   56.176400,   52.759600,   53.030200,   49.061000,
+        48.469400,   44.933000,   46.047400,   44.716600,   41.941600,
+        39.920800,   35.632800,   35.527600,   33.193400,   33.237200,
+        33.386400,   33.922800,   30.237200,   29.137400,   25.227200,
+        24.294200,   19.833800,   18.900600,   23.090800,   21.854400,
+        19.517600,   15.414800,   16.931400,   18.673800,   12.987800,
+        14.368800,   12.044800,   15.522000,   12.530000,   14.594000,
+        14.313200,   9.455000,    12.944200,   3.911400,    13.137400,
+        5.447200,    9.827800,    7.872800,    3.677600,    5.469800,
+        5.551000,    5.659800,    3.894400,    3.127600,    5.651400,
+        6.306200,    3.908000,    1.870600,    5.170200,    2.466800,
+        0.770000,    -3.723400,   1.164000,    8.053400,    0.135400,
+        2.159400,    0.767000,    1.059400,    3.155000,    -0.287400,
+        2.372200,    -2.866200,   -1.632000,   -2.229800,   -0.155200,
+        -1.460400,   -0.262200,   -2.344600,   -2.807800,   -3.221800,
+        -5.601600,   -8.422000,   -9.437400,   0.161800,    -10.475600,
+        -10.082400
+    }}
+},
+
+// Precision 12
+{
+    {{
+        2954.000000,  3003.478200,  3053.356800,  3104.366600,  3155.324000,
+        3206.959800,  3259.648000,  3312.539000,  3366.147400,  3420.257600,
+        3474.837600,  3530.607600,  3586.451000,  3643.380000,  3700.410400,
+        3757.563800,  3815.967600,  3875.193000,  3934.838000,  3994.854800,
+        4055.018000,  4117.174200,  4178.448200,  4241.129400,  4304.477600,
+        4367.404400,  4431.872400,  4496.373200,  4561.430400,  4627.532600,
+        4693.949000,  4761.553200,  4828.725600,  4897.618200,  4965.518600,
+        5034.452800,  5104.865000,  5174.716400,  5244.682800,  5316.670800,
+        5387.831200,  5459.903600,  5532.476000,  5604.865200,  5679.671800,
+        5753.757000,  5830.207200,  5905.282800,  5980.043400,  6056.626400,
+        6134.319200,  6211.574600,  6290.081600,  6367.117600,  6447.979600,
+        6526.557600,  6606.185800,  6686.914400,  6766.114200,  6847.081800,
+        6927.966400,  7010.909600,  7091.081600,  7175.396200,  7260.345400,
+        7344.018000,  7426.421400,  7511.310600,  7596.068600,  7679.809400,
+        7765.818000,  7852.424800,  7936.834000,  8022.363000,  8109.506600,
+        8200.455400,  8288.583200,  8373.366000,  8463.480800,  8549.768200,
+        8642.052200,  8728.328800,  8820.952800,  8907.727000,  9001.079400,
+        9091.252200,  9179.988000,  9269.852000,  9362.639400,  9453.642000,
+        9546.902400,  9640.661600,  9732.662200,  9824.325400,  9917.748400,
+        10007.939200, 10106.750800, 10196.215200, 10289.811400, 10383.549400,
+        10482.306400, 10576.873400, 10668.787200, 10764.715600, 10862.019600,
+        10952.793000, 11049.974800, 11146.070200, 11241.449200, 11339.277200,
+        11434.233600, 11530.741000, 11627.613600, 11726.311000, 11821.596400,
+        11918.837000, 12015.372400, 12113.016200, 12213.042400, 12306.980400,
+        12408.451800, 12504.896800, 12604.586000, 12700.933200, 12798.705000,
+        12898.514200, 12997.048800, 13094.788000, 13198.475000, 13292.776400,
+        13392.969800, 13486.857400, 13590.161600, 13686.583800, 13783.626400,
+        13887.263800, 13992.097800, 14081.084400, 14189.995600, 14280.091200,
+        14382.495600, 14486.438400, 14588.108200, 14686.239200, 14782.276000,
+        14888.028400, 14985.186400, 15088.859600, 15187.099800, 15285.027000,
+        15383.669400, 15495.826600, 15591.373600, 15694.200800, 15790.324600,
+        15898.411600, 15997.452200, 16095.501400, 16198.851400, 16291.749200,
+        16402.642400, 16499.126600, 16606.243600, 16697.718600, 16796.394600,
+        16902.337600, 17005.767200, 17100.814000, 17206.828200, 17305.826200,
+        17416.074400, 17508.409200, 17617.017800, 17715.455400, 17816.758000,
+        17920.174800, 18012.923600, 18119.798400, 18223.224800, 18324.248200,
+        18426.627600, 18525.093200, 18629.897600, 18733.258800, 18831.046600,
+        18940.136600, 19032.269600, 19131.729000, 19243.486400, 19349.693200,
+        19442.866000, 19547.944800, 19653.279800, 19754.403400, 19854.069200,
+        19965.122400, 20065.177400, 20158.221200, 20253.353000, 20366.326400,
+        20463.220000
+    }},
+    {{
+        2953.000000, 2900.478200, 2848.356800, 2796.366600, 2745.324000,
+        2694.959800, 2644.648000, 2595.539000, 2546.147400, 2498.257600,
+        2450.837600, 2403.607600, 2357.451000, 2311.380000, 2266.410400,
+        2221.563800, 2176.967600, 2134.193000, 2090.838000, 2048.854800,
+        2007.018000, 1966.174200, 1925.448200, 1885.129400, 1846.477600,
+        1807.404400, 1768.872400, 1731.373200, 1693.430400, 1657.532600,
+        1621.949000, 1586.553200, 1551.725600, 1517.618200, 1483.518600,
+        1450.452800, 1417.865000, 1385.716400, 1352.682800, 1322.670800,
+        1291.831200, 1260.903600, 1231.476000, 1201.865200, 1173.671800,
+        1145.757000, 1119.207200, 1092.282800, 1065.043400, 1038.626400,
+        1014.319200, 988.574600,  965.081600,  940.117600,  917.979600,
+        894.557600,  871.185800,  849.914400,  827.114200,  805.081800,
+        783.966400,  763.909600,  742.081600,  724.396200,  706.345400,
+        688.018000,  667.421400,  650.310600,  633.068600,  613.809400,
+        597.818000,  581.424800,  563.834000,  547.363000,  531.506600,
+        520.455400,  505.583200,  488.366000,  476.480800,  459.768200,
+        450.052200,  434.328800,  423.952800,  408.727000,  399.079400,
+        387.252200,  373.988000,  360.852000,  351.639400,  339.642000,
+        330.902400,  322.661600,  311.662200,  301.325400,  291.748400,
+        279.939200,  276.750800,  263.215200,  254.811400,  245.549400,
+        242.306400,  234.873400,  223.787200,  217.715600,  212.019600,
+        200.793000,  195.974800,  189.070200,  182.449200,  177.277200,
+        170.233600,  164.741000,  158.613600,  155.311000,  147.596400,
+        142.837000,  137.372400,  132.016200,  130.042400,  121.980400,
+        120.451800,  114.896800,  111.586000,  105.933200,  101.705000,
+        98.514200,   95.048800,   89.788000,   91.475000,   83.776400,
+        80.969800,   72.857400,   73.161600,   67.583800,   62.626400,
+        63.263800,   66.097800,   52.084400,   58.995600,   47.091200,
+        46.495600,   48.438400,   47.108200,   43.239200,   37.276000,
+        40.028400,   35.186400,   35.859600,   32.099800,   28.027000,
+        23.669400,   33.826600,   26.373600,   27.200800,   21.324600,
+        26.411600,   23.452200,   19.501400,   19.851400,   10.749200,
+        18.642400,   13.126600,   18.243600,   6.718600,    3.394600,
+        6.337600,    7.767200,    0.814000,    3.828200,    0.826200,
+        8.074400,    -1.590800,   5.017800,    0.455400,    -0.242000,
+        0.174800,    -9.076400,   -4.201600,   -3.775200,   -4.751800,
+        -5.372400,   -8.906800,   -6.102400,   -5.741200,   -9.953400,
+        -3.863400,   -13.730400,  -16.271000,  -7.513600,   -3.306800,
+        -13.134000,  -10.055200,  -6.720200,   -8.596600,   -10.930800,
+        -1.877600,   -4.822600,   -13.778800,  -21.647000,  -10.673600,
+        -15.780000
+    }}
+},
+
+// Precision 13
+{
+    {{
+        5908.505200,  6007.267200,  6107.347000,  6208.579400,  6311.262200,
+        6414.551400,  6519.337600,  6625.695200,  6732.598800,  6841.355200,
+        6950.597200,  7061.308200,  7173.564600,  7287.109000,  7401.821600,
+        7516.434400,  7633.380200,  7751.296200,  7870.378400,  7990.292000,
+        8110.790000,  8233.457400,  8356.603600,  8482.271200,  8607.770800,
+        8735.099000,  8863.185800,  8993.474600,  9123.849600,  9255.679400,
+        9388.544800,  9522.751600,  9657.310600,  9792.609400,  9930.564200,
+        10068.794000, 10206.725600, 10347.810000, 10490.319600, 10632.077800,
+        10775.991600, 10920.466200, 11066.124000, 11213.073000, 11358.036200,
+        11508.100600, 11659.171600, 11808.751400, 11959.488400, 12112.131400,
+        12265.037000, 12420.375600, 12578.933000, 12734.311000, 12890.000600,
+        13047.214400, 13207.309600, 13368.514400, 13528.024000, 13689.847000,
+        13852.752800, 14018.316800, 14180.537200, 14346.966800, 14513.507400,
+        14677.867000, 14846.218600, 15017.418600, 15184.971600, 15356.339000,
+        15529.297200, 15697.357800, 15871.868600, 16042.187000, 16216.409400,
+        16389.418800, 16565.912600, 16742.327200, 16919.004200, 17094.759200,
+        17273.965000, 17451.834200, 17634.425400, 17810.598400, 17988.924200,
+        18171.051000, 18354.793800, 18539.466000, 18721.040800, 18904.997200,
+        19081.867000, 19271.911800, 19451.869400, 19637.981600, 19821.292200,
+        20013.129200, 20199.385800, 20387.872600, 20572.951400, 20770.776400,
+        20955.171400, 21144.751000, 21329.995200, 21520.709000, 21712.701600,
+        21906.386800, 22096.262600, 22286.052400, 22475.051000, 22665.509800,
+        22862.849200, 23055.529400, 23249.613800, 23437.848000, 23636.273000,
+        23826.093000, 24020.329600, 24213.389600, 24411.739200, 24602.961400,
+        24805.795200, 24998.155200, 25193.958800, 25389.016600, 25585.839200,
+        25780.697600, 25981.272800, 26175.977000, 26376.525200, 26570.196400,
+        26773.387000, 26962.981200, 27163.058600, 27368.164000, 27565.053400,
+        27758.742800, 27961.127600, 28163.232400, 28362.381600, 28565.766800,
+        28758.644000, 28956.976800, 29163.472200, 29354.702600, 29561.118600,
+        29767.994800, 29959.998600, 30164.049200, 30366.981800, 30562.533800,
+        30762.992800, 30976.159200, 31166.274000, 31376.722000, 31570.373400,
+        31770.809000, 31974.893400, 32179.528600, 32387.544200, 32582.350400,
+        32794.076000, 32989.952800, 33191.842000, 33392.468400, 33595.659000,
+        33801.867200, 34000.341400, 34200.092200, 34402.679200, 34610.063800,
+        34804.008400, 35011.130000, 35218.669000, 35418.663400, 35619.079200,
+        35830.653400, 36028.496600, 36229.790200, 36438.642200, 36630.776400,
+        36833.310200, 37048.672800, 37247.391600, 37453.590400, 37669.361400,
+        37854.552600, 38059.305000, 38268.093600, 38470.251600, 38674.706400,
+        38876.167000, 39068.379400, 39281.914400, 39492.856600, 39684.862800,
+        39898.410800, 40093.183600, 40297.685800, 40489.708600, 40717.242400
+    }},
+    {{
+        5907.505200, 5802.267200, 5697.347000, 5593.579400, 5491.262200,
+        5390.551400, 5290.337600, 5191.695200, 5093.598800, 4997.355200,
+        4902.597200, 4808.308200, 4715.564600, 4624.109000, 4533.821600,
+        4444.434400, 4356.380200, 4269.296200, 4183.378400, 4098.292000,
+        4014.790000, 3932.457400, 3850.603600, 3771.271200, 3691.770800,
+        3615.099000, 3538.185800, 3463.474600, 3388.849600, 3315.679400,
+        3244.544800, 3173.751600, 3103.310600, 3033.609400, 2966.564200,
+        2900.794000, 2833.725600, 2769.810000, 2707.319600, 2644.077800,
+        2583.991600, 2523.466200, 2464.124000, 2406.073000, 2347.036200,
+        2292.100600, 2238.171600, 2182.751400, 2128.488400, 2077.131400,
+        2025.037000, 1975.375600, 1928.933000, 1879.311000, 1831.000600,
+        1783.214400, 1738.309600, 1694.514400, 1649.024000, 1606.847000,
+        1564.752800, 1525.316800, 1482.537200, 1443.966800, 1406.507400,
+        1365.867000, 1329.218600, 1295.418600, 1257.971600, 1225.339000,
+        1193.297200, 1156.357800, 1125.868600, 1091.187000, 1061.409400,
+        1029.418800, 1000.912600, 972.327200,  944.004200,  915.759200,
+        889.965000,  862.834200,  840.425400,  812.598400,  785.924200,
+        763.051000,  741.793800,  721.466000,  699.040800,  677.997200,
+        649.867000,  634.911800,  609.869400,  591.981600,  570.292200,
+        557.129200,  538.385800,  521.872600,  502.951400,  495.776400,
+        475.171400,  459.751000,  439.995200,  426.709000,  413.701600,
+        402.386800,  387.262600,  372.052400,  357.051000,  342.509800,
+        334.849200,  322.529400,  311.613800,  295.848000,  289.273000,
+        274.093000,  263.329600,  251.389600,  245.739200,  231.961400,
+        229.795200,  217.155200,  208.958800,  199.016600,  190.839200,
+        180.697600,  176.272800,  166.977000,  162.525200,  151.196400,
+        149.387000,  133.981200,  130.058600,  130.164000,  122.053400,
+        110.742800,  108.127600,  106.232400,  100.381600,  98.766800,
+        86.644000,   79.976800,   82.472200,   68.702600,   70.118600,
+        71.994800,   58.998600,   59.049200,   56.981800,   47.533800,
+        42.992800,   51.159200,   37.274000,   42.722000,   31.373400,
+        26.809000,   25.893400,   26.528600,   29.544200,   19.350400,
+        26.076000,   17.952800,   14.842000,   10.468400,   8.659000,
+        9.867200,    4.341400,    -0.907800,   -3.320800,   -0.936200,
+        -11.991600,  -8.870000,   -6.331000,   -11.336600,  -15.920800,
+        -9.346600,   -15.503400,  -19.209800,  -15.357800,  -28.223600,
+        -30.689800,  -19.327200,  -25.608400,  -24.409600,  -13.638600,
+        -33.447400,  -32.695000,  -28.906400,  -31.748400,  -32.293600,
+        -35.833000,  -47.620600,  -39.085600,  -33.143400,  -46.137200,
+        -37.589200,  -46.816400,  -47.314200,  -60.291400,  -37.757600
+    }}
+},
+
+// Precision 14
+{
+    {{
+        11817.475000, 12015.004600, 12215.379200, 12417.750400, 12623.181400,
+        12830.008600, 13040.007200, 13252.503000, 13466.178000, 13683.273800,
+        13902.034400, 14123.979800, 14347.394000, 14573.778400, 14802.689400,
+        15033.682400, 15266.913400, 15502.862400, 15741.494400, 15980.795600,
+        16223.891600, 16468.631600, 16715.733000, 16965.572600, 17217.204000,
+        17470.666000, 17727.851600, 17986.788600, 18247.690200, 18510.963200,
+        18775.304000, 19044.748600, 19314.440800, 19587.202000, 19862.257600,
+        20135.924000, 20417.032400, 20697.978800, 20979.611200, 21265.027400,
+        21550.723000, 21841.690600, 22132.162000, 22428.140600, 22722.127000,
+        23020.560600, 23319.739400, 23620.401400, 23925.272800, 24226.922400,
+        24535.581000, 24845.505000, 25155.961800, 25470.382800, 25785.970200,
+        26103.776400, 26420.413200, 26742.018600, 27062.885200, 27388.415000,
+        27714.602400, 28042.296000, 28365.449400, 28701.152600, 29031.800800,
+        29364.215600, 29704.497000, 30037.145800, 30380.111000, 30723.816800,
+        31059.511400, 31404.949800, 31751.675200, 32095.268600, 32444.779200,
+        32794.767000, 33145.204000, 33498.422600, 33847.650200, 34209.006000,
+        34560.849000, 34919.483800, 35274.977800, 35635.132200, 35996.326600,
+        36359.139400, 36722.826600, 37082.851600, 37447.735400, 37815.960600,
+        38191.069200, 38559.410600, 38924.811200, 39294.672600, 39663.973000,
+        40042.261000, 40416.203600, 40779.203600, 41161.643600, 41540.901400,
+        41921.199800, 42294.769800, 42678.526400, 43061.346400, 43432.375000,
+        43818.432000, 44198.659800, 44583.013800, 44970.479400, 45353.924000,
+        45729.858000, 46118.222400, 46511.572400, 46900.738600, 47280.696400,
+        47668.147200, 48055.679600, 48446.943600, 48838.714600, 49217.729600,
+        49613.779600, 50010.750800, 50410.020800, 50793.788600, 51190.245600,
+        51583.188200, 51971.079600, 52376.533800, 52763.319000, 53165.553400,
+        53556.559400, 53948.270200, 54346.352000, 54748.791400, 55138.577000,
+        55543.482400, 55941.174800, 56333.774600, 56745.155200, 57142.794400,
+        57545.223600, 57935.995600, 58348.526800, 58737.547400, 59158.596200,
+        59542.689600, 59958.800400, 60349.378800, 60755.021200, 61147.614400,
+        61548.194000, 61946.069600, 62348.604200, 62763.603000, 63162.781000,
+        63560.635000, 63974.348200, 64366.490800, 64771.587600, 65176.734600,
+        65597.391600, 65995.915000, 66394.038400, 66822.939600, 67203.633600,
+        67612.203200, 68019.007800, 68420.038800, 68821.220000, 69235.838800,
+        69640.072400, 70055.155000, 70466.357000, 70863.426600, 71276.248200,
+        71677.030600, 72080.200600, 72493.021400, 72893.595200, 73314.585600,
+        73714.985200, 74125.302200, 74521.212200, 74933.681400, 75341.590400,
+        75743.024400, 76166.027800, 76572.132200, 76973.102800, 77381.628400,
+        77800.609200, 78189.328000, 78607.096200, 79012.250800, 79407.835800,
+        79825.725000, 80238.701000, 80646.891000, 81035.643600, 81460.044800,
+        81876.388400
+    }},
+    {{
+        11816.475000, 11605.004600, 11395.379200, 11188.750400, 10984.181400,
+        10782.008600, 10582.007200, 10384.503000, 10189.178000, 9996.273800,
+        9806.034400,  9617.979800,  9431.394000,  9248.778400,  9067.689400,
+        8889.682400,  8712.913400,  8538.862400,  8368.494400,  8197.795600,
+        8031.891600,  7866.631600,  7703.733000,  7544.572600,  7386.204000,
+        7230.666000,  7077.851600,  6926.788600,  6778.690200,  6631.963200,
+        6487.304000,  6346.748600,  6206.440800,  6070.202000,  5935.257600,
+        5799.924000,  5671.032400,  5541.978800,  5414.611200,  5290.027400,
+        5166.723000,  5047.690600,  4929.162000,  4815.140600,  4699.127000,
+        4588.560600,  4477.739400,  4369.401400,  4264.272800,  4155.922400,
+        4055.581000,  3955.505000,  3856.961800,  3761.382800,  3666.970200,
+        3575.776400,  3482.413200,  3395.018600,  3305.885200,  3221.415000,
+        3138.602400,  3056.296000,  2970.449400,  2896.152600,  2816.800800,
+        2740.215600,  2670.497000,  2594.145800,  2527.111000,  2460.816800,
+        2387.511400,  2322.949800,  2260.675200,  2194.268600,  2133.779200,
+        2074.767000,  2015.204000,  1959.422600,  1898.650200,  1850.006000,
+        1792.849000,  1741.483800,  1687.977800,  1638.132200,  1589.326600,
+        1543.139400,  1496.826600,  1447.851600,  1402.735400,  1361.960600,
+        1327.069200,  1285.410600,  1241.811200,  1201.672600,  1161.973000,
+        1130.261000,  1094.203600,  1048.203600,  1020.643600,  990.901400,
+        961.199800,   924.769800,   899.526400,   872.346400,   834.375000,
+        810.432000,   780.659800,   756.013800,   733.479400,   707.924000,
+        673.858000,   652.222400,   636.572400,   615.738600,   586.696400,
+        564.147200,   541.679600,   523.943600,   505.714600,   475.729600,
+        461.779600,   449.750800,   439.020800,   412.788600,   400.245600,
+        383.188200,   362.079600,   357.533800,   334.319000,   327.553400,
+        308.559400,   291.270200,   279.352000,   271.791400,   252.577000,
+        247.482400,   236.174800,   218.774600,   220.155200,   208.794400,
+        201.223600,   182.995600,   185.526800,   164.547400,   176.596200,
+        150.689600,   157.800400,   138.378800,   134.021200,   117.614400,
+        108.194000,   97.069600,    89.604200,    95.603000,    84.781000,
+        72.635000,    77.348200,    59.490800,    55.587600,    50.734600,
+        61.391600,    50.915000,    39.038400,    58.939600,    29.633600,
+        28.203200,    26.007800,    17.038800,    9.220000,     13.838800,
+        8.072400,     14.155000,    15.357000,    3.426600,     6.248200,
+        -2.969400,    -8.799400,    -5.978600,    -14.404800,   -3.414400,
+        -13.014800,   -11.697800,   -25.787800,   -22.318600,   -24.409600,
+        -31.975600,   -18.972200,   -22.867800,   -30.897200,   -32.371600,
+        -22.390800,   -43.672000,   -35.903800,   -39.749200,   -54.164200,
+        -45.275000,   -42.299000,   -44.109000,   -64.356400,   -49.955200,
+        -42.611600
+    }}
+},
+
+// Precision 15
+{
+    {{
+        23635.003600,  24030.803400,  24431.474400,  24837.152400,  25246.792800,
+        25661.326000,  26081.353200,  26505.280600,  26933.989200,  27367.709800,
+        27805.318000,  28248.799000,  28696.438200,  29148.824400,  29605.513800,
+        30066.866800,  30534.234400,  31006.320000,  31480.778000,  31962.241800,
+        32447.332400,  32938.023200,  33432.731000,  33930.728000,  34433.989600,
+        34944.140200,  35457.558800,  35974.595800,  36497.329600,  37021.909600,
+        37554.326000,  38088.082600,  38628.881600,  39171.319200,  39723.232600,
+        40274.555400,  40832.314200,  41390.613000,  41959.590800,  42532.546600,
+        43102.034400,  43683.507200,  44266.694000,  44851.282200,  45440.786200,
+        46038.058600,  46640.316400,  47241.064000,  47846.155000,  48454.739600,
+        49076.916800,  49692.542000,  50317.477800,  50939.650000,  51572.559600,
+        52210.290600,  52843.739600,  53481.399600,  54127.236000,  54770.406000,
+        55422.659800,  56078.795800,  56736.717400,  57397.678400,  58064.578400,
+        58730.308000,  59404.978400,  60077.086400,  60751.915800,  61444.138600,
+        62115.817000,  62808.774200,  63501.477400,  64187.545400,  64883.662200,
+        65582.746800,  66274.531800,  66976.927600,  67688.776400,  68402.138000,
+        69109.627400,  69822.970600,  70543.610800,  71265.520200,  71983.384800,
+        72708.465600,  73433.384000,  74158.466400,  74896.486800,  75620.956400,
+        76362.143400,  77098.320400,  77835.766200,  78582.611400,  79323.990200,
+        80067.865800,  80814.924600,  81567.013600,  82310.853600,  83061.995200,
+        83821.409600,  84580.860800,  85335.547000,  86092.580200,  86851.650600,
+        87612.311000,  88381.201600,  89146.329600,  89907.897400,  90676.846000,
+        91451.415200,  92224.551800,  92995.868600,  93763.506600,  94551.279600,
+        95315.194400,  96096.180600,  96881.091800,  97665.679000,  98442.680000,
+        99229.300200,  100011.099400, 100790.638600, 101580.156400, 102377.748400,
+        103152.139200, 103944.271200, 104730.216000, 105528.633600, 106324.939800,
+        107117.670600, 107890.398800, 108695.226600, 109485.238000, 110294.787600,
+        111075.095800, 111878.049600, 112695.286400, 113464.548600, 114270.047400,
+        115068.608000, 115884.362600, 116673.258800, 117483.371600, 118275.097000,
+        119085.409200, 119879.280800, 120687.586800, 121499.994400, 122284.916000,
+        123095.925400, 123912.503800, 124709.045400, 125503.718200, 126323.259000,
+        127138.941200, 127943.829400, 128755.646000, 129556.535400, 130375.329800,
+        131161.473400, 131971.196200, 132787.545800, 133588.105600, 134431.351000,
+        135220.290600, 136023.398000, 136846.655800, 137667.000400, 138463.663000,
+        139283.715400, 140074.614600, 140901.307200, 141721.854800, 142543.232200,
+        143356.109600, 144173.741200, 144973.094800, 145794.316200, 146609.571400,
+        147420.003000, 148237.978400, 149050.569600, 149854.761000, 150663.196600,
+        151494.075400, 152313.141600, 153112.690200, 153935.720600, 154746.926200,
+        155559.547000, 156401.974600, 157228.703600, 158008.725400, 158820.750000,
+        159646.918400, 160470.445800, 161279.534800, 162093.311400, 162918.542000,
+        163729.284200
+    }},
+    {{
+        23634.003600, 23210.803400, 22792.474400, 22379.152400, 21969.792800,
+        21565.326000, 21165.353200, 20770.280600, 20379.989200, 19994.709800,
+        19613.318000, 19236.799000, 18865.438200, 18498.824400, 18136.513800,
+        17778.866800, 17426.234400, 17079.320000, 16734.778000, 16397.241800,
+        16063.332400, 15734.023200, 15409.731000, 15088.728000, 14772.989600,
+        14464.140200, 14157.558800, 13855.595800, 13559.329600, 13264.909600,
+        12978.326000, 12692.082600, 12413.881600, 12137.319200, 11870.232600,
+        11602.555400, 11340.314200, 11079.613000, 10829.590800, 10583.546600,
+        10334.034400, 10095.507200, 9859.694000,  9625.282200,  9395.786200,
+        9174.058600,  8957.316400,  8738.064000,  8524.155000,  8313.739600,
+        8116.916800,  7913.542000,  7718.477800,  7521.650000,  7335.559600,
+        7154.290600,  6968.739600,  6786.399600,  6613.236000,  6437.406000,
+        6270.659800,  6107.795800,  5945.717400,  5787.678400,  5635.578400,
+        5482.308000,  5337.978400,  5190.086400,  5045.915800,  4919.138600,
+        4771.817000,  4645.774200,  4518.477400,  4385.545400,  4262.662200,
+        4142.746800,  4015.531800,  3897.927600,  3790.776400,  3685.138000,
+        3573.627400,  3467.970600,  3368.610800,  3271.520200,  3170.384800,
+        3076.465600,  2982.384000,  2888.466400,  2806.486800,  2711.956400,
+        2634.143400,  2551.320400,  2469.766200,  2396.611400,  2318.990200,
+        2243.865800,  2171.924600,  2105.013600,  2028.853600,  1960.995200,
+        1901.409600,  1841.860800,  1777.547000,  1714.580200,  1654.650600,
+        1596.311000,  1546.201600,  1492.329600,  1433.897400,  1383.846000,
+        1339.415200,  1293.551800,  1245.868600,  1193.506600,  1162.279600,
+        1107.194400,  1069.180600,  1035.091800,  999.679000,   957.680000,
+        925.300200,   888.099400,   848.638600,   818.156400,   796.748400,
+        752.139200,   725.271200,   692.216000,   671.633600,   647.939800,
+        621.670600,   575.398800,   561.226600,   532.238000,   521.787600,
+        483.095800,   467.049600,   465.286400,   415.548600,   401.047400,
+        380.608000,   377.362600,   347.258800,   338.371600,   310.097000,
+        301.409200,   276.280800,   265.586800,   258.994400,   223.916000,
+        215.925400,   213.503800,   191.045400,   166.718200,   166.259000,
+        162.941200,   148.829400,   141.646000,   123.535400,   122.329800,
+        89.473400,    80.196200,    77.545800,    59.105600,    83.351000,
+        52.290600,    36.398000,    40.655800,    42.000400,    19.663000,
+        19.715400,    -8.385400,    -0.692800,    0.854800,     3.232200,
+        -3.890400,    -5.258800,    -24.905200,   -22.683800,   -26.428600,
+        -34.997000,   -37.021600,   -43.430400,   -58.239000,   -68.803400,
+        -56.924600,   -57.858400,   -77.309800,   -73.279400,   -81.073800,
+        -87.453000,   -65.025400,   -57.296400,   -96.274600,   -103.250000,
+        -96.081600,   -91.554200,   -102.465200,  -107.688600,  -101.458000,
+        -109.715800
+    }}
+},
+
+// Precision 16
+{
+    {{
+        47271.000000,  48062.358400,  48862.707400,  49673.152000,  50492.841600,
+        51322.951400,  52161.030000,  53009.407000,  53867.634800,  54734.206000,
+        55610.514400,  56496.209600,  57390.795000,  58297.268000,  59210.644800,
+        60134.665000,  61068.024800,  62010.447200,  62962.520400,  63923.574200,
+        64895.019400,  65876.418200,  66862.613600,  67862.696800,  68868.890800,
+        69882.854400,  70911.271000,  71944.092400,  72990.032600,  74040.692000,
+        75100.633600,  76174.782600,  77252.599800,  78340.297400,  79438.257200,
+        80545.497600,  81657.279600,  82784.633600,  83915.515000,  85059.736200,
+        86205.936800,  87364.442400,  88530.335800,  89707.374400,  90885.963800,
+        92080.197000,  93275.573800,  94479.391000,  95695.918000,  96919.223600,
+        98148.460200,  99382.347400,  100625.697400, 101878.028400, 103141.627800,
+        104409.458800, 105686.288200, 106967.540200, 108261.603200, 109548.157800,
+        110852.072800, 112162.231000, 113479.007200, 114806.262600, 116137.907200,
+        117469.504800, 118813.518600, 120165.487600, 121516.255600, 122875.766000,
+        124250.544400, 125621.222200, 127003.235200, 128387.848000, 129775.264400,
+        131181.777600, 132577.308600, 133979.945800, 135394.113200, 136800.907800,
+        138233.217000, 139668.530800, 141085.212000, 142535.212200, 143969.068400,
+        145420.287200, 146878.154200, 148332.757200, 149800.320200, 151269.660000,
+        152743.610400, 154213.094800, 155690.288000, 157169.424600, 158672.175600,
+        160160.059000, 161650.685400, 163145.777200, 164645.672600, 166159.195200,
+        167682.157800, 169177.332800, 170700.011800, 172228.896400, 173732.666400,
+        175265.555600, 176787.799000, 178317.111000, 179856.691400, 181400.865000,
+        182943.461200, 184486.742000, 186033.469800, 187583.788600, 189148.186800,
+        190688.452600, 192250.192600, 193810.904200, 195354.297200, 196938.768200,
+        198493.589800, 200079.282400, 201618.912000, 203205.549200, 204765.579800,
+        206356.112400, 207929.306400, 209498.719600, 211086.229000, 212675.132400,
+        214256.789200, 215826.239200, 217412.847400, 218995.672400, 220618.603800,
+        222207.116600, 223781.036400, 225387.433200, 227005.792800, 228590.433600,
+        230217.873800, 231805.105400, 233408.900000, 234995.343200, 236601.495600,
+        238190.790400, 239817.254800, 241411.283200, 243002.406600, 244640.188400,
+        246255.312800, 247849.350800, 249479.973400, 251106.882200, 252705.027000,
+        254332.924200, 255935.129000, 257526.901400, 259154.772000, 260777.625000,
+        262390.253000, 264004.490600, 265643.590000, 267255.407600, 268873.426000,
+        270470.725200, 272106.480400, 273722.445600, 275337.794000, 276945.703800,
+        278592.915400, 280204.372600, 281841.160600, 283489.171000, 285130.171600,
+        286735.336200, 288364.716400, 289961.181400, 291595.552400, 293285.683000,
+        294899.666800, 296499.343400, 298128.046200, 299761.894600, 301394.242400,
+        302997.674800, 304615.147800, 306269.772400, 307886.114000, 309543.102800,
+        311153.286200, 312782.854600, 314421.200800, 316033.243800, 317692.963600,
+        319305.264800, 320948.740600, 322566.336400, 324228.422400, 325847.154200
+    }},
+    {{
+        47270.000000, 46423.358400, 45585.707400, 44757.152000, 43938.841600,
+        43130.951400, 42330.030000, 41540.407000, 40759.634800, 39988.206000,
+        39226.514400, 38473.209600, 37729.795000, 36997.268000, 36272.644800,
+        35558.665000, 34853.024800, 34157.447200, 33470.520400, 32793.574200,
+        32127.019400, 31469.418200, 30817.613600, 30178.696800, 29546.890800,
+        28922.854400, 28312.271000, 27707.092400, 27114.032600, 26526.692000,
+        25948.633600, 25383.782600, 24823.599800, 24272.297400, 23732.257200,
+        23201.497600, 22674.279600, 22163.633600, 21656.515000, 21161.736200,
+        20669.936800, 20189.442400, 19717.335800, 19256.374400, 18795.963800,
+        18352.197000, 17908.573800, 17474.391000, 17052.918000, 16637.223600,
+        16228.460200, 15823.347400, 15428.697400, 15043.028400, 14667.627800,
+        14297.458800, 13935.288200, 13578.540200, 13234.603200, 12882.157800,
+        12548.072800, 12219.231000, 11898.007200, 11587.262600, 11279.907200,
+        10973.504800, 10678.518600, 10392.487600, 10105.255600, 9825.766000,
+        9562.544400,  9294.222200,  9038.235200,  8784.848000,  8533.264400,
+        8301.777600,  8058.308600,  7822.945800,  7599.113200,  7366.907800,
+        7161.217000,  6957.530800,  6736.212000,  6548.212200,  6343.068400,
+        6156.287200,  5975.154200,  5791.757200,  5621.320200,  5451.660000,
+        5287.610400,  5118.094800,  4957.288000,  4798.424600,  4662.175600,
+        4512.059000,  4364.685400,  4220.777200,  4082.672600,  3957.195200,
+        3842.157800,  3699.332800,  3583.011800,  3473.896400,  3338.666400,
+        3233.555600,  3117.799000,  3008.111000,  2909.691400,  2814.865000,
+        2719.461200,  2624.742000,  2532.469800,  2444.788600,  2370.186800,
+        2272.452600,  2196.192600,  2117.904200,  2023.297200,  1969.768200,
+        1885.589800,  1833.282400,  1733.912000,  1682.549200,  1604.579800,
+        1556.112400,  1491.306400,  1421.719600,  1371.229000,  1322.132400,
+        1264.789200,  1196.239200,  1143.847400,  1088.672400,  1073.603800,
+        1023.116600,  959.036400,   927.433200,   906.792800,   853.433600,
+        841.873800,   791.105400,   756.900000,   704.343200,   672.495600,
+        622.790400,   611.254800,   567.283200,   519.406600,   519.188400,
+        495.312800,   451.350800,   443.973400,   431.882200,   392.027000,
+        380.924200,   345.129000,   298.901400,   287.772000,   272.625000,
+        247.253000,   222.490600,   223.590000,   196.407600,   176.426000,
+        134.725200,   132.480400,   110.445600,   86.794000,    56.703800,
+        64.915400,    38.372600,    37.160600,    46.171000,    49.171600,
+        15.336200,    6.716400,     -34.818600,   -39.447600,   12.683000,
+        -12.333200,   -50.656600,   -59.953800,   -65.105400,   -70.757600,
+        -106.325200,  -126.852200,  -110.227600,  -132.886000,  -113.897200,
+        -142.713800,  -151.145400,  -150.799200,  -177.756200,  -156.036400,
+        -182.735200,  -177.259400,  -198.663600,  -174.577600,  -193.845800
+    }}
+},
+
+// Precision 17
+{
+    {{
+        94542.000000,  96125.811000,  97728.019000,  99348.558000,  100987.970500,
+        102646.756500, 104324.512500, 106021.743500, 107736.786500, 109469.272000,
+        111223.946500, 112995.219000, 114787.432000, 116593.152000, 118422.710000,
+        120267.234500, 122134.676500, 124020.937000, 125927.270500, 127851.255000,
+        129788.948500, 131751.016000, 133726.822500, 135722.592000, 137736.789000,
+        139770.568000, 141821.518000, 143891.343000, 145982.141500, 148095.387000,
+        150207.526000, 152355.649000, 154515.641500, 156696.050000, 158887.757500,
+        161098.159000, 163329.852000, 165569.053000, 167837.400500, 170121.616500,
+        172420.459500, 174732.626500, 177062.770000, 179412.502000, 181774.035000,
+        184151.939000, 186551.689500, 188965.691000, 191402.809500, 193857.949000,
+        196305.077500, 198774.671500, 201271.258500, 203764.780000, 206299.369500,
+        208818.136500, 211373.115000, 213946.746500, 216532.076000, 219105.541000,
+        221714.537500, 224337.513500, 226977.512500, 229613.065500, 232270.268500,
+        234952.206500, 237645.355500, 240331.192500, 243034.517000, 245756.072500,
+        248517.686500, 251232.737000, 254011.395500, 256785.995000, 259556.440000,
+        262368.335000, 265156.911000, 267965.266000, 270785.583000, 273616.049500,
+        276487.483500, 279346.639000, 282202.509000, 285074.388500, 287942.285500,
+        290856.018000, 293774.034500, 296678.514500, 299603.635500, 302552.657500,
+        305492.978500, 308466.860500, 311392.581000, 314347.538000, 317319.429500,
+        320285.978500, 323301.732500, 326298.323500, 329301.310500, 332301.987000,
+        335309.791000, 338370.762000, 341382.923000, 344431.126500, 347464.154500,
+        350507.280000, 353619.234500, 356631.200500, 359685.203000, 362776.784500,
+        365886.488000, 368958.225500, 372060.682500, 375165.433500, 378237.935000,
+        381328.311000, 384430.522500, 387576.425000, 390683.242000, 393839.648000,
+        396977.842500, 400101.980500, 403271.296000, 406409.842500, 409529.548500,
+        412678.700000, 415847.423000, 419020.803500, 422157.081000, 425337.749000,
+        428479.616500, 431700.902000, 434893.191500, 438049.582000, 441210.541500,
+        444379.254500, 447577.356000, 450741.931000, 453959.548000, 457137.093500,
+        460329.846000, 463537.481500, 466732.334500, 469960.561500, 473164.681000,
+        476347.634500, 479496.173000, 482813.164500, 486025.699500, 489249.488500,
+        492460.194500, 495675.880500, 498908.007500, 502131.802000, 505374.385500,
+        508550.991500, 511806.730500, 515026.776000, 518217.000500, 521523.985500,
+        524705.985500, 527950.997000, 531210.026500, 534472.497000, 537750.731500,
+        540926.922000, 544207.094000, 547429.434500, 550666.374500, 553975.347500,
+        557150.718500, 560399.616500, 563662.697000, 566916.739500, 570146.121500,
+        573447.425000, 576689.624500, 579874.574500, 583202.337000, 586503.025500,
+        589715.635000, 592910.161000, 596214.388500, 599488.035000, 602740.920000,
+        605983.068500, 609248.670000, 612491.360500, 615787.912000, 619107.524500,
+        622307.955500, 625577.333000, 628840.438500, 632085.215500, 635317.613500,
+        638691.719500, 641887.467000, 645139.940500, 648441.546000, 651666.252000,
+        654941.845000
+    }},
+    {{
+        94541.000000, 92848.811000, 91174.019000, 89517.558000, 87879.970500,
+        86262.756500, 84663.512500, 83083.743500, 81521.786500, 79977.272000,
+        78455.946500, 76950.219000, 75465.432000, 73994.152000, 72546.710000,
+        71115.234500, 69705.676500, 68314.937000, 66944.270500, 65591.255000,
+        64252.948500, 62938.016000, 61636.822500, 60355.592000, 59092.789000,
+        57850.568000, 56624.518000, 55417.343000, 54231.141500, 53067.387000,
+        51903.526000, 50774.649000, 49657.641500, 48561.050000, 47475.757500,
+        46410.159000, 45364.852000, 44327.053000, 43318.400500, 42325.616500,
+        41348.459500, 40383.626500, 39436.770000, 38509.502000, 37594.035000,
+        36695.939000, 35818.689500, 34955.691000, 34115.809500, 33293.949000,
+        32465.077500, 31657.671500, 30877.258500, 30093.780000, 29351.369500,
+        28594.136500, 27872.115000, 27168.746500, 26477.076000, 25774.541000,
+        25106.537500, 24452.513500, 23815.512500, 23174.065500, 22555.268500,
+        21960.206500, 21376.355500, 20785.192500, 20211.517000, 19657.072500,
+        19141.686500, 18579.737000, 18081.395500, 17578.995000, 17073.440000,
+        16608.335000, 16119.911000, 15651.266000, 15194.583000, 14749.049500,
+        14343.483500, 13925.639000, 13504.509000, 13099.388500, 12691.285500,
+        12328.018000, 11969.034500, 11596.514500, 11245.635500, 10917.657500,
+        10580.978500, 10277.860500, 9926.581000,  9605.538000,  9300.429500,
+        8989.978500,  8728.732500,  8448.323500,  8175.310500,  7898.987000,
+        7629.791000,  7413.762000,  7149.923000,  6921.126500,  6677.154500,
+        6443.280000,  6278.234500,  6014.200500,  5791.203000,  5605.784500,
+        5438.488000,  5234.225500,  5059.682500,  4887.433500,  4682.935000,
+        4496.311000,  4322.522500,  4191.425000,  4021.242000,  3900.648000,
+        3762.842500,  3609.980500,  3502.296000,  3363.842500,  3206.548500,
+        3079.700000,  2971.423000,  2867.803500,  2727.081000,  2630.749000,
+        2496.616500,  2440.902000,  2356.191500,  2235.582000,  2120.541500,
+        2012.254500,  1933.356000,  1820.931000,  1761.548000,  1663.093500,
+        1578.846000,  1509.481500,  1427.334500,  1379.561500,  1306.681000,
+        1212.634500,  1084.173000,  1124.164500,  1060.699500,  1007.488500,
+        941.194500,   879.880500,   836.007500,   782.802000,   748.385500,
+        647.991500,   626.730500,   570.776000,   484.000500,   513.985500,
+        418.985500,   386.997000,   370.026500,   355.497000,   356.731500,
+        255.922000,   259.094000,   205.434500,   165.374500,   197.347500,
+        95.718500,    67.616500,    54.697000,    31.739500,    -15.878500,
+        8.425000,     -26.375500,   -118.425500,  -66.663000,   -42.974500,
+        -107.365000,  -189.839000,  -162.611500,  -164.965000,  -189.080000,
+        -223.931500,  -235.330000,  -269.639500,  -249.088000,  -206.475500,
+        -283.044500,  -290.667000,  -304.561500,  -336.784500,  -380.386500,
+        -283.280500,  -364.533000,  -389.059500,  -364.454000,  -415.748000,
+        -417.155000
+    }}
+},
+
+// Precision 18
+{
+    {{
+        189084.000000,  192250.913000,  195456.774000,  198696.946000,
+        201977.762000,  205294.444000,  208651.754000,  212042.099000,
+        215472.269000,  218941.910000,  222443.912000,  225996.845000,
+        229568.199000,  233193.568000,  236844.457000,  240543.233000,
+        244279.475000,  248044.270000,  251854.588000,  255693.200000,
+        259583.619000,  263494.621000,  267445.385000,  271454.061000,
+        275468.769000,  279549.456000,  283646.446000,  287788.198000,
+        291966.099000,  296181.164000,  300431.469000,  304718.618000,
+        309024.004000,  313393.508000,  317760.803000,  322209.731000,
+        326675.061000,  331160.627000,  335654.470000,  340241.442000,
+        344841.833000,  349467.132000,  354130.629000,  358819.432000,
+        363574.626000,  368296.587000,  373118.482000,  377914.930000,
+        382782.301000,  387680.669000,  392601.981000,  397544.323000,
+        402529.115000,  407546.018000,  412593.658000,  417638.657000,
+        422762.865000,  427886.169000,  433017.167000,  438213.273000,
+        443441.254000,  448692.421000,  453937.533000,  459239.049000,
+        464529.569000,  469910.083000,  475274.030000,  480684.473000,
+        486070.260000,  491515.237000,  496995.651000,  502476.617000,
+        507973.609000,  513497.190000,  519083.233000,  524726.509000,
+        530305.505000,  535945.728000,  541584.404000,  547274.055000,
+        552967.236000,  558667.862000,  564360.216000,  570128.148000,
+        575965.080000,  581701.952000,  587532.523000,  593361.144000,
+        599246.128000,  605033.418000,  610958.779000,  616837.117000,
+        622772.818000,  628672.040000,  634675.369000,  640574.831000,
+        646585.739000,  652574.547000,  658611.217000,  664642.684000,
+        670713.914000,  676737.681000,  682797.313000,  688837.897000,
+        694917.874000,  701009.882000,  707173.648000,  713257.254000,
+        719415.392000,  725636.761000,  731710.697000,  737906.209000,
+        744103.074000,  750313.390000,  756504.185000,  762712.579000,
+        768876.985000,  775167.859000,  781359.000000,  787615.959000,
+        793863.597000,  800245.477000,  806464.582000,  812785.294000,
+        819005.925000,  825403.057000,  831676.197000,  837936.284000,
+        844266.968000,  850642.711000,  856959.756000,  863322.774000,
+        869699.931000,  876102.478000,  882355.787000,  888694.463000,
+        895159.952000,  901536.143000,  907872.631000,  914293.672000,
+        920615.140000,  927130.974000,  933409.404000,  939922.178000,
+        946331.470000,  952745.930000,  959209.264000,  965590.224000,
+        972077.284000,  978501.961000,  984953.190000,  991413.271000,
+        997817.479000,  1004222.658000, 1010725.676000, 1017177.138000,
+        1023612.529000, 1030098.236000, 1036493.719000, 1043112.207000,
+        1049537.036000, 1056008.096000, 1062476.184000, 1068942.337000,
+        1075524.950000, 1081932.864000, 1088426.025000, 1094776.005000,
+        1101327.448000, 1107901.673000, 1114423.639000, 1120884.602000,
+        1127324.923000, 1133794.240000, 1140328.886000, 1146849.376000,
+        1153346.682000, 1159836.502000, 1166478.703000, 1172953.304000,
+        1179391.502000, 1185950.982000, 1192544.052000, 1198913.410000,
+        1205430.994000, 1212015.525000, 1218674.042000, 1225121.683000,
+        1231551.101000, 1238126.379000, 1244673.795000, 1251260.649000,
+        1257697.860000, 1264320.983000, 1270736.319000, 1277274.694000,
+        1283804.950000, 1290211.514000, 1296858.568000, 1303455.691000
+    }},
+    {{
+        189083.000000, 185696.913000, 182348.774000, 179035.946000, 175762.762000,
+        172526.444000, 169329.754000, 166166.099000, 163043.269000, 159958.910000,
+        156907.912000, 153906.845000, 150924.199000, 147996.568000, 145093.457000,
+        142239.233000, 139421.475000, 136632.270000, 133889.588000, 131174.200000,
+        128511.619000, 125868.621000, 123265.385000, 120721.061000, 118181.769000,
+        115709.456000, 113252.446000, 110840.198000, 108465.099000, 106126.164000,
+        103823.469000, 101556.618000, 99308.004000,  97124.508000,  94937.803000,
+        92833.731000,  90745.061000,  88677.627000,  86617.470000,  84650.442000,
+        82697.833000,  80769.132000,  78879.629000,  77014.432000,  75215.626000,
+        73384.587000,  71652.482000,  69895.930000,  68209.301000,  66553.669000,
+        64921.981000,  63310.323000,  61742.115000,  60205.018000,  58698.658000,
+        57190.657000,  55760.865000,  54331.169000,  52908.167000,  51550.273000,
+        50225.254000,  48922.421000,  47614.533000,  46362.049000,  45098.569000,
+        43926.083000,  42736.030000,  41593.473000,  40425.260000,  39316.237000,
+        38243.651000,  37170.617000,  36114.609000,  35084.190000,  34117.233000,
+        33206.509000,  32231.505000,  31318.728000,  30403.404000,  29540.055000,
+        28679.236000,  27825.862000,  26965.216000,  26179.148000,  25462.080000,
+        24645.952000,  23922.523000,  23198.144000,  22529.128000,  21762.418000,
+        21134.779000,  20459.117000,  19840.818000,  19187.040000,  18636.369000,
+        17982.831000,  17439.739000,  16874.547000,  16358.217000,  15835.684000,
+        15352.914000,  14823.681000,  14329.313000,  13816.897000,  13342.874000,
+        12880.882000,  12491.648000,  12021.254000,  11625.392000,  11293.761000,
+        10813.697000,  10456.209000,  10099.074000,  9755.390000,   9393.185000,
+        9047.579000,   8657.985000,   8395.859000,   8033.000000,   7736.959000,
+        7430.597000,   7258.477000,   6924.582000,   6691.294000,   6357.925000,
+        6202.057000,   5921.197000,   5628.284000,   5404.968000,   5226.711000,
+        4990.756000,   4799.774000,   4622.931000,   4472.478000,   4171.787000,
+        3957.463000,   3868.952000,   3691.143000,   3474.631000,   3341.672000,
+        3109.140000,   3071.974000,   2796.404000,   2756.178000,   2611.470000,
+        2471.930000,   2382.264000,   2209.224000,   2142.284000,   2013.961000,
+        1911.190000,   1818.271000,   1668.479000,   1519.658000,   1469.676000,
+        1367.138000,   1248.529000,   1181.236000,   1022.719000,   1088.207000,
+        959.036000,    876.096000,    791.184000,    703.337000,    731.950000,
+        586.864000,    526.025000,    323.005000,    320.448000,    340.673000,
+        309.639000,    216.602000,    102.923000,    19.240000,     -0.114000,
+        -32.624000,    -89.318000,    -153.498000,   -64.297000,    -143.696000,
+        -259.498000,   -253.018000,   -213.948000,   -397.590000,   -434.006000,
+        -403.475000,   -297.958000,   -404.317000,   -528.899000,   -506.621000,
+        -513.205000,   -479.351000,   -596.140000,   -527.017000,   -664.681000,
+        -680.306000,   -704.050000,   -850.486000,   -757.432000,   -713.309000
+    }}
+}

+ 51 - 51
library/cpp/hyperloglog/hyperloglog_ut.cpp

@@ -1,20 +1,20 @@
 #include "hyperloglog.h"
- 
-#include <util/generic/buffer.h> 
-#include <util/random/mersenne.h> 
-#include <util/stream/buffer.h> 
- 
+
+#include <util/generic/buffer.h>
+#include <util/random/mersenne.h>
+#include <util/stream/buffer.h>
+
 #include <library/cpp/testing/unittest/registar.h>
- 
-#include <cmath> 
- 
+
+#include <cmath>
+
 Y_UNIT_TEST_SUITE(THyperLogLog) {
     Y_UNIT_TEST(TestPrecision18) {
-        TMersenne<ui64> rand; 
- 
+        TMersenne<ui64> rand;
+
         auto counter = THyperLogLog::Create(18);
- 
-        static const std::pair<ui64, ui64> POINTS[] = { 
+
+        static const std::pair<ui64, ui64> POINTS[] = {
             {10, 10},
             {100, 100},
             {1000, 998},
@@ -24,44 +24,44 @@ Y_UNIT_TEST_SUITE(THyperLogLog) {
             {10000000, 9983891},
             {100000000, 100315572},
             {1000000000, 998791445},
-            //1:37: {10000000000, 10015943904} 
-        }; 
-        ui64 unique = 0; 
-        for (const auto& pnt : POINTS) { 
-            while (unique < pnt.first) { 
-                const auto val = rand(); 
-                counter.Update(val); 
-                ++unique; 
-            } 
-            const auto estimation = counter.Estimate(); 
-            const auto delta = i64(estimation) - i64(unique); 
-            const auto error = double(delta) / unique; 
-            UNIT_ASSERT(std::abs(error) < 0.0032); 
-            UNIT_ASSERT_EQUAL(estimation, pnt.second); 
-        } 
-        { 
+            //1:37: {10000000000, 10015943904}
+        };
+        ui64 unique = 0;
+        for (const auto& pnt : POINTS) {
+            while (unique < pnt.first) {
+                const auto val = rand();
+                counter.Update(val);
+                ++unique;
+            }
+            const auto estimation = counter.Estimate();
+            const auto delta = i64(estimation) - i64(unique);
+            const auto error = double(delta) / unique;
+            UNIT_ASSERT(std::abs(error) < 0.0032);
+            UNIT_ASSERT_EQUAL(estimation, pnt.second);
+        }
+        {
             auto counter2 = THyperLogLog::Create(18);
-            while (unique < 2000000000) { 
-                const auto val = rand(); 
-                counter2.Update(val); 
-                ++unique; 
-            } 
-            const auto estimation = counter2.Estimate(); 
-            UNIT_ASSERT_EQUAL(estimation, 1000013484); 
- 
-            counter.Merge(counter2); 
-            UNIT_ASSERT_EQUAL(counter.Estimate(), 1998488794); 
-        } 
- 
-        { 
-            TBufferStream stream; 
-            counter.Save(stream); 
-            UNIT_ASSERT_EQUAL(stream.Buffer().Size(), 1 + (1 << 18)); 
- 
-            stream.Rewind(); 
+            while (unique < 2000000000) {
+                const auto val = rand();
+                counter2.Update(val);
+                ++unique;
+            }
+            const auto estimation = counter2.Estimate();
+            UNIT_ASSERT_EQUAL(estimation, 1000013484);
+
+            counter.Merge(counter2);
+            UNIT_ASSERT_EQUAL(counter.Estimate(), 1998488794);
+        }
+
+        {
+            TBufferStream stream;
+            counter.Save(stream);
+            UNIT_ASSERT_EQUAL(stream.Buffer().Size(), 1 + (1 << 18));
+
+            stream.Rewind();
             const auto copy = THyperLogLog::Load(stream);
- 
-            UNIT_ASSERT_EQUAL(counter.Estimate(), copy.Estimate()); 
-        } 
-    } 
-} 
+
+            UNIT_ASSERT_EQUAL(counter.Estimate(), copy.Estimate());
+        }
+    }
+}

+ 1 - 1
library/cpp/packers/packers.h

@@ -274,7 +274,7 @@ namespace NPackers {
         size_t lenChar = len * sizeof(typename TStringType::char_type);
         size_t start = size - lenChar;
         TIntegralPacker<size_t>().PackLeaf(buf, len, TIntegralPacker<size_t>().MeasureLeaf(len));
-        memcpy(buf + start, str.data(), lenChar); 
+        memcpy(buf + start, str.data(), lenChar);
     }
 
     template <class TStringType>

+ 2 - 2
util/charset/wide.h

@@ -438,7 +438,7 @@ inline TString WideToUTF8(const wchar32* text, size_t len) {
 }
 
 inline TString WideToUTF8(const TWtringBuf w) {
-    return WideToUTF8(w.data(), w.size()); 
+    return WideToUTF8(w.data(), w.size());
 }
 
 inline TString WideToUTF8(const TUtf32StringBuf w) {
@@ -675,7 +675,7 @@ inline bool IsSpace(const wchar16* s, size_t n) {
 
 //! returns @c true if string contains whitespace characters only
 inline bool IsSpace(const TWtringBuf s) {
-    return IsSpace(s.data(), s.length()); 
+    return IsSpace(s.data(), s.length());
 }
 
 //! replaces multiple sequential whitespace characters with a single space character