initial commit

2026-04-24 13:14:31 +02:00 · 2026-04-24 13:14:31 +02:00 · 6b0974399f
commit 6b0974399f
48 changed files with 96625 additions and 0 deletions
--- a/.gitignore
+++ b/.gitignore
@ -0,0 +1,37 @@
+# Images & media
+*.png
+*.jpg
+*.jpeg
+*.gif
+*.svg
+*.webp
+*.ico
+*.bmp
+*.tiff
+*.mp4
+*.mp3
+*.mov
+
+# OS files
+.DS_Store
+Thumbs.db
+desktop.ini
+
+# Editor/IDE
+.vscode/
+.idea/
+*.swp
+*.swo
+*.suo
+
+# Logs & temp
+*.log
+*.tmp
+*.cache
+__pycache__/
+*.pyc
+
+# Dependencies (if JS/Python)
+node_modules/
+venv/
+.env
--- a/README.md
+++ b/README.md
@ -0,0 +1,178 @@
+# 2D Flat-Plate Boundary Layer — RANS k-ε with Neural Network damping functions
+
+
+
+
+
+## Overview
+The NN is trained on DNS channel flow data (Re_τ = 10 000) using `NN_SR.py`
+and then loaded into the CFD solver via `calceps_NN_SR.py`.
+
+---
+
+## Directory structure
+
+```
+2d-example-boundary-layer/
+├── pyCALC-RANS.py               # main solver (do not edit)
+├── global                       # global variable declarations (do not edit)
+├── calc_earsm.py                # empty EARSM placeholder (not used here)
+│
+└── boundary-layer-RANS-keps-NN/
+    ├── run-python               # bash script to assemble and run the solver
+    ├── setup_case.py            # case settings (turbulence model, BCs, solvers)
+    ├── modify_case.py           # hooks: modify_init, fix_eps, modify_eps, etc.
+    ├── calceps_NN_SR.py         # NN-augmented calceps (replaces calceps in solver)
+    ├── generate-bound-layer-grid.py  # grid generation script
+    ├── plot_inlet_bound.py      # post-processing and plotting
+    ├── create-inlet-rans-profiles.py # saves inlet profiles for restarts
+    ├── vel_2540_dns.prof        # DNS reference data (Re_θ ≈ 2540)
+    ├── x2d.dat, y2d.dat         # grid files (generated by grid script)
+    ├── z.dat                    # spanwise extent
+    └── nn/                      # trained NN model files
+        ├── model-f_2-f_mu-Re10000.pth
+        ├── scaler-input0-f_2-f_mu-Re10000.bin
+        ├── scaler-input1-f_2-f_mu-Re10000.bin
+        └── min-max-f_2-f_mu-Re10000.txt
+```
+
+---
+
+## Changes from the original k-ω boundary layer case
+
+### `setup_case.py`
+
+| Parameter | Original (k-ω) | New (k-ε NN) |
+|-----------|---------------|--------------|
+| `kom` | `True` | `False` |
+| `keps` | not set | `True` |
+| `c_omega_1/2` | `5/9`, `3/40` | kept as dummies (required by solver init) |
+| `prand_omega` | `2.0` | kept as dummy |
+| `c_eps_1` | — | `1.5` |
+| `c_eps_2` | — | `1.9` |
+| `prand_eps` | — | `1.4` |
+| `prand_k` | `2.0` | `1.4` |
+| `urf_omega` | `0.5` | kept as dummy |
+| `urf_eps` | — | `0.5` |
+| `convergence_limit_om` | `-1e-6` | kept as dummy |
+| `convergence_limit_eps` | — | `-1e-6` |
+| `restart` | `True` | `False` (no eps restart file from k-ω run) |
+| omega BCs | full block | replaced with eps BCs |
+
+**Epsilon wall BC** (`eps_bc_south`) is set as Dirichlet but the value is
+overridden every iteration by `fix_eps()` using ε = 2ν k/y².
+
+### `modify_case.py`
+
+- `modify_om` → replaced with `modify_eps` (same inlet injection logic)
+- `fix_omega` → replaced with `fix_eps` (enforces ε = 2ν k/y² at south wall each iteration)
+- `modify_init` → initialises `eps2d = Cμ k²/(100ν)` instead of `om2d`; **return order** is `u2d, v2d, k2d, om2d, eps2d, vis2d, dist`
+
+### `calceps_NN_SR.py` (new file, injected by `run-python`)
+
+Replaces `calceps` in `pyCALC-RANS.py`. Key differences from the standard solver:
+
+- Loads `NuNet` model (tanh activations, dynamic layer list via `nn.ModuleList`)
+- Predicts **both** f₂ and f_μ simultaneously (2-output network)
+- Inputs: y⁺ (scaled with local u_τ from south wall) and y* (from ε)
+- Outputs clipped to training min/max range
+- Set `NN_bool = False` to fall back to standard analytic AKN expressions
+
+### `run-python`
+
+The original k-ω script used `cat` directly. The new script:
+
+1. Renames `calceps` → `calceps_standard` in the solver (via `sed`)
+2. Renames `fix_eps` → `fix_eps_standard` in the solver (via `sed`)  
+3. Injects `calceps_NN_SR.py` with the NN version before the solver
+4. Uses `echo ""` between files to prevent concatenation syntax errors
+
+```bash
+#!/bin/bash
+sed '/setup_case()/d' setup_case.py > temp_file
+
+sed 's/def calceps/def calceps_standard/' ../pyCALC-RANS.py | \
+sed 's/def fix_eps/def fix_eps_standard/' > temp_file1
+
+{
+    cat ../global
+    echo ""
+    cat temp_file
+    echo ""
+    cat modify_case.py
+    echo ""
+    cat calceps_NN_SR.py
+    echo ""
+    cat temp_file1
+} > exec-pyCALC-RANS.py
+
+/chalmers/groups/lada_8/anaconda3/bin/python -u exec-pyCALC-RANS.py > out
+```
+
+---
+
+## How to run
+
+### Step 1 — Generate the grid (first time only)
+
+```bash
+cd boundary-layer-RANS-keps-NN/
+python generate-bound-layer-grid.py
+```
+
+This produces `x2d.dat` and `y2d.dat`.
+
+### Step 2 — Train the NN (first time only, or if re-training)
+
+The NN files are already in `nn/`. If you need to retrain:
+
+```bash
+cd ../          # go to 2d-example-boundary-layer/
+python NN_SR.py
+```
+
+This writes the model, scalers and min-max file into `nn/`.
+
+### Step 3 — Link the nn/ folder into the case directory
+
+```bash
+cd boundary-layer-RANS-keps-NN/
+ln -s ../nn nn   # only needed if nn/ symlink does not already exist
+```
+
+### Step 4 — Run the CFD solver
+
+```bash
+chmod +x run-python   # only needed once
+./run-python
+```
+
+Output is written to `out`. Monitor convergence in a second terminal:
+
+```bash
+tail -f out | grep 'max res'
+```
+
+The run is converged when `max res` drops below `sormax = 5e-5` (set in `setup_case.py`).
+
+### Step 5 — Plot results
+
+```bash
+python plot_inlet_bound.py
+```
+
+Produces the following figures:
+
+| File | Contents |
+|------|----------|
+| `ustar-vs-x.png` | Friction velocity u_τ along the plate |
+| `u_log_python.png` | U⁺ vs y⁺ (log), compared to DNS at Re_θ ≈ 2540 |
+| `vis_python.png` | ν_t/ν vs y⁺ at three x stations |
+| `vis_vs_y_python.png` | ν_t/ν vs y at three x stations |
+| `eps_vs_y_python.png` | ε vs y at three x stations |
+| `k_model_python.png` | k/u_τ² vs y⁺ at three x stations |
+| `k_vs_y_python.png` | k/u_τ² vs y at three x stations |
+| `cf_vs_re_mom.png` | Skin friction C_f vs Re_θ, compared to empirical correlation |
+
+---
+
--- a/80
+++ b/80
@ -0,0 +1,80 @@
+Download the report on pyCALC-RANS at
+
+https://www.tfd.chalmers.se/~lada/postscript_files/py-calc-rans.pdf
+
+
+For instructions how to run the code, see Section 11.3.
+
+
+***********
+
+The NN model for creating the NN model for EARSM is found in the folder NN/
+
+The NN model is incorporated in pyCALC-RANS in the folder channel-10000-earsm-NN/
+
+The work is presented in the paper 
+
+L. Davidson, "Using Neural Network for Improving an Explicit Algebraic Stress Model in 2D Flow",
+J. Tyacke and N. R. Vadlamani (eds.), Proceedings of the Cambridge Unsteady Flow
+Symposium 2024, pp. 37--53, 2025, 
+
+https://doi.org/10.1007/978-3-031-69035-8_2
+
+
+***********
+
+The PINN model for computing prand_k is located in folder  PINN-etmm15/
+
+compute vist_{t,PINN}:  compute-vist_k-solving-PDE-using-PINN.py
+
+Then run compute-c_k-and-c_omega_2-from-balance-of-k-and-omega-eqns.py
+
+It is  used in the CFD code in folder channel-2000-half-channel-PINN/
+
+It is used in the paper
+
+ L. Davidson, 
+"Using Physical Informed Neural Network (PINN) to Improve a k-omega Turbulence Model",
+ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements (ETMM-15), Dubrovnik on 22-24 September 2025.
+https://www.tfd.chalmers.se/~lada/postscript_files/Using-Physical-Informed-Neural-Network-PINN-to-Improve-a-k-omega-Turbulence-Model.pdf
+
+https://www.tfd.chalmers.se/~lada/PINN-improve-a-k-omega-turbulence-model.html
+
+***********
+ 
+PINN and NN scripts are found  in folder PINN-NN
+
+** vist-diffusion-pinn-5200-half-channel-save.py 
+
+** vist-diffusion-pinn-5200-half-channel-save.py 
+
+are used for solving the eq for \nu_{t,PINN}. The former is used to create good initial weights and 
+biases which are stored in vist-diffusion-pinn-5200-half-channel-save.ct. The latter
+is then used for converging the \nu_{t,PINN} eq. by loading vist-diffusion-pinn-5200-half-channel-save.ct.
+
+** compute-c_k-and-c_omega_2-from-balance-of-k-and-omega-eqns.py 
+
+is used for computing C_{k,PINN} and C_{\omega 2, PINN}
+
+create NN model for c_{K,NN}: PINN-NN/neural-k-omega-c_k-vist-over-y-and-uv_tot.py
+
+create NN model for c_{omega 2,NN}: PINN-NN/neural-k-omega-c_omega_2-vist-over-y-and-uv_tot.py
+
+create NN model for prand_{k,NN}: PINN-NN/neural-k-omega-prand_k-vist-over-y-and-uv_tot.py
+ 
+replacd the  NN model for c_{K,NN} by pySR (Symbolic Regression):
+
+Use NN models in CFD code: 
+
+channel-10000-half-channel-NN-PINN-from-channel-NN-vist-over-y-uv_tot-2nd-submission-t_int-3000/
+
+boundary-layer-k-omega-ni-150-nj-100-yfac-yplus-0.8-ymax-4.5-ML-NN-from-channel-NN-vist-over-y-uv_tot-2nd-submission/
+
+The PINN model is used in:
+
+ channel-5200-half-channel-PINN-vist-over-y-uv_tot-2nd-submission
+
+Lars Davidson. Using Physics Informed Neural Network (PINN) and Neural Network (NN) to Improve a $k-\omega$ Turbulence Model
+
+https://www.tfd.chalmers.se/~lada/Using-Physical-Informed-Neural-Network-PINN-and-NN-improve-a-k-omega-turbulence-model.html
+
--- a/boundary-layer-RANS-keps-NN/ap2d_vel_saved.npy
+++ b/boundary-layer-RANS-keps-NN/ap2d_vel_saved.npy
--- a/boundary-layer-RANS-keps-NN/calceps_NN.py
+++ b/boundary-layer-RANS-keps-NN/calceps_NN.py
@ -0,0 +1,83 @@
+import torch
+import torch.nn as nn
+from joblib import load as joblib_load
+
+# ---- load NN model once (at import time, not every iteration) ----
+class MyNet(nn.Module):
+    def __init__(self):
+        super().__init__()
+        self.input   = nn.Linear(2, 10)
+        self.hidden1 = nn.Linear(10, 10)
+        self.hidden2 = nn.Linear(10, 1)
+
+    def forward(self, x):
+        x = nn.functional.relu(self.input(x))
+        x = nn.functional.relu(self.hidden1(x))
+        return self.hidden2(x)
+
+NN_bool = True   # set False to use standard AKN analytic f2
+
+if NN_bool:
+    _NN_f2      = torch.load('model-neural-k-omega-f_2.pth', weights_only=False)
+    _scaler_yp  = joblib_load('scaler-yplus-k-omega-f_2.bin')
+    _scaler_ys  = joblib_load('scaler-ystar-k-omega-f_2.bin')
+    _yplus_min, _yplus_max, _ystar_min, _ystar_max, _f2_min, _f2_max = \
+        np.loadtxt('min-max-model-f_2.txt')
+
+
+def calceps(su2d, sp2d, eps2d, gen):
+    if iter == 0:
+        print('calceps (NN version) called')
+
+    ueps  = (eps2d * viscos) ** 0.25
+    ystar = ueps * dist / viscos
+    rt    = k2d ** 2 / eps2d / viscos
+
+    # ---- compute f2 ------------------------------------------------
+    if NN_bool:
+        # friction velocity from south wall (same as rans-k-eps-NN.py)
+        ustar = (viscos * u2d[:, 0] / yp2d[:, 0]) ** 0.5   # shape (ni,)
+
+        # yplus and ystar for every cell, clipped to training range
+        yplus_2d = np.minimum(yp2d, yp2d[:, -1:] - yp2d) * ustar[:, None] / viscos
+        ystar_2d = ystar.copy()
+
+        yplus_2d = np.clip(yplus_2d, _yplus_min, _yplus_max)
+        ystar_2d = np.clip(ystar_2d, _ystar_min, _ystar_max)
+
+        # scale and build input matrix
+        X = np.zeros((ni * nj, 2))
+        X[:, 0] = _scaler_yp.transform(yplus_2d.reshape(-1, 1))[:, 0]
+        X[:, 1] = _scaler_ys.transform(ystar_2d.reshape(-1, 1))[:, 0]
+
+        with torch.no_grad():
+            preds = _NN_f2(torch.tensor(X, dtype=torch.float32))
+
+        f2 = preds.numpy().reshape(ni, nj)
+        f2 = np.clip(f2, _f2_min, _f2_max)
+    else:
+        f2 = ((1 - np.exp(-ystar / 3.1)) ** 2) * \
+             (1. - 0.3 * np.exp(-(rt / 6.5) ** 2))
+
+    # ---- fmu (always analytic) -------------------------------------
+    fmu2d = ((1 - np.exp(-ystar / 14)) ** 2) * \
+            (1 + 5 / rt ** 0.75 * np.exp(-(rt / 200) ** 2))
+    fmu2d = np.minimum(fmu2d, 1)
+
+    # ---- production term -------------------------------------------
+    vist  = vis2d - viscos
+    su2d  = su2d + c_eps_1 * cmu * fmu2d * gen * k2d * vol
+
+    # ---- dissipation term ------------------------------------------
+    sp2d  = sp2d - c_eps_2 * f2 * eps2d * vol / k2d
+
+    # ---- modify su & sp (case-specific hooks) ----------------------
+    su2d, sp2d = modify_eps(su2d, sp2d)
+
+    ap2d = aw2d + ae2d + as2d + an2d - sp2d
+
+    # ---- under-relaxation ------------------------------------------
+    ap2d = ap2d / urf_eps
+    su2d = su2d + (1 - urf_eps) * ap2d * eps2d
+
+    return su2d, sp2d, ap2d, fmu2d
--- a/boundary-layer-RANS-keps-NN/calceps_NN_SR.py
+++ b/boundary-layer-RANS-keps-NN/calceps_NN_SR.py
@ -0,0 +1,90 @@
+import torch
+import torch.nn as nn
+from joblib import load as joblib_load
+
+#load NN model once 
+class NuNet(nn.Module):
+    def __init__(self, inputs, outputs, layers, neurons):
+        super().__init__()
+        layerList = []
+        layerList.append(nn.Linear(inputs, neurons))       # input layer
+        for _ in range(layers):
+            layerList.append(nn.Linear(neurons, neurons))  # hidden layers
+        layerList.append(nn.Linear(neurons, outputs))      # output layer
+        self.layers = nn.ModuleList(layerList)
+
+    def forward(self, x):
+        for layer in self.layers[:-1]:
+            x = nn.functional.tanh(layer(x))
+        return self.layers[-1](x)
+# Set Re to match model file trained in NN_SR.py
+NN_Re   = 10000
+NN_bool = True    # False -> fall back to keps AKN
+
+if NN_bool:
+    _NN_model  = torch.load(f'nn/model-f_2-f_mu-Re{NN_Re}.pth',
+                            weights_only=False)
+    _NN_model.eval()
+
+    # scalers: input0 = yplus, input1 = ystar -> order from NN_SR.py
+    _scaler_yp = joblib_load(f'nn/scaler-input0-f_2-f_mu-Re{NN_Re}.bin')
+    _scaler_ys = joblib_load(f'nn/scaler-input1-f_2-f_mu-Re{NN_Re}.bin')
+
+    _mm = np.loadtxt(f'nn/min-max-f_2-f_mu-Re{NN_Re}.txt')
+    _yplus_min, _yplus_max = _mm[0], _mm[1]
+    _ystar_min, _ystar_max = _mm[2], _mm[3]
+    _f2_min,    _f2_max    = _mm[4], _mm[5]
+    _fmu_min,   _fmu_max   = _mm[6], _mm[7]
+
+    
+def calceps(su2d, sp2d, eps2d, gen):
+    if iter == 0:
+        print(f'calceps called  (NN_bool={NN_bool}, Re={NN_Re})')
+
+    ueps  = (eps2d * viscos) ** 0.25
+    ystar = ueps * dist / viscos
+    rt    = k2d ** 2 / (eps2d * viscos)
+
+    if NN_bool:
+
+        ustar_col = (viscos * u2d[:, 0] / yp2d[:, 0]) ** 0.5
+        yplus_2d  = yp2d * ustar_col[:, None] / viscos
+
+        yplus_2d = np.clip(yplus_2d, _yplus_min, _yplus_max)
+        ystar_2d = np.clip(ystar,    _ystar_min, _ystar_max)
+
+        X = np.zeros((ni * nj, 2))
+        X[:, 0] = _scaler_yp.transform(yplus_2d.reshape(-1, 1))[:, 0]
+        X[:, 1] = _scaler_ys.transform(ystar_2d.reshape(-1, 1))[:, 0]
+
+        with torch.no_grad():
+            preds = _NN_model(torch.tensor(X, dtype=torch.float32)).numpy()
+
+    
+        f2    = np.clip(preds[:, 0].reshape(ni, nj), _f2_min,  _f2_max)
+        fmu2d = np.clip(preds[:, 1].reshape(ni, nj), _fmu_min, _fmu_max)
+        fmu2d = np.minimum(fmu2d, 1.0)
+
+    else:
+        # standard analytic AKN expressions
+        f2    = ((1 - np.exp(-ystar / 3.1)) ** 2) * (1. - 0.3 * np.exp(-(rt / 6.5) ** 2))
+        fmu2d = ((1 - np.exp(-ystar / 14)) ** 2) * (1 + 5 / rt ** 0.75 * np.exp(-(rt / 200) ** 2))
+        fmu2d = np.minimum(fmu2d, 1.0)
+
+
+    # production term:  C_eps1 * Cmu * fmu * Pk * (eps/k) * vol
+    su2d = su2d + c_eps_1 * cmu * fmu2d * gen * k2d * vol
+
+    # dissipation term: -C_eps2 * f2 * eps^2/k
+    sp2d = sp2d - c_eps_2 * f2 * eps2d * vol / k2d
+
+    # case-specific source modifications
+    su2d, sp2d = modify_eps(su2d, sp2d)
+
+    ap2d = aw2d + ae2d + as2d + an2d - sp2d
+
+    # under-relaxation
+    ap2d = ap2d / urf_eps
+    su2d = su2d + (1 - urf_eps) * ap2d * eps2d
+
+    return su2d, sp2d, ap2d, fmu2d
--- a/boundary-layer-RANS-keps-NN/create-inlet-rans-profiles.py
+++ b/boundary-layer-RANS-keps-NN/create-inlet-rans-profiles.py
@ -0,0 +1,53 @@
+import scipy.io as sio
+import sys
+import numpy as np
+import matplotlib.pyplot as plt
+from mpl_toolkits.axes_grid1.inset_locator import inset_axes
+from IPython import display
+plt.rcParams.update({'font.size': 22})
+plt.rcParams.update({'figure.max_open_warning': 0})
+plt.interactive(True)
+
+
+viscos=3.57E-5
+datax= np.loadtxt("x2d.dat")
+x=datax[0:-1]
+ni=int(datax[-1])
+datay= np.loadtxt("y2d.dat")
+y=datay[0:-1]
+nj=int(datay[-1])
+
+y2d=np.zeros((ni+1,nj+1))
+y2d=np.reshape(y,(ni+1,nj+1))
+x2d=np.zeros((ni+1,nj+1))
+x2d=np.reshape(x,(ni+1,nj+1))
+
+xp2d=0.25*(x2d[0:-1,0:-1]+x2d[0:-1,1:]+x2d[1:,0:-1]+x2d[1:,1:])
+yp2d=0.25*(y2d[0:-1,0:-1]+y2d[0:-1,1:]+y2d[1:,0:-1]+y2d[1:,1:])
+y=yp2d[1,:]
+x=xp2d[:,1]
+# make ii 2D
+
+itstep,nk,dz=np.load('itstep.npy')
+u2d=np.load('u_averaged.npy')/itstep
+v2d=np.load('v_averaged.npy')/itstep
+k2d=np.load('k_averaged.npy')/itstep
+eps2d=np.load('eps_averaged.npy')/itstep
+om2d=np.load('om_averaged.npy')/itstep
+vis2d=np.load('vis_averaged.npy')/itstep
+
+
+
+i=ni-10
+u=u2d[i,:]
+v=v2d[i,:]
+k=k2d[i,:]
+eps = eps2d[i,:]
+vis=vis2d[i,:]
+
+vist=vis-viscos
+dudy=np.gradient(u,y)
+uv=-vist*dudy
+
+np.savetxt('y_u_v_k_eps_uv_re-theta-2500.txt', np.c_[y, u, v, k, eps, uv])
+
--- a/boundary-layer-RANS-keps-NN/eps2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/eps2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/exec-pyCALC-RANS.py
+++ b/boundary-layer-RANS-keps-NN/exec-pyCALC-RANS.py
--- a/boundary-layer-RANS-keps-NN/exec-pyCALC-RANS.py~
+++ b/boundary-layer-RANS-keps-NN/exec-pyCALC-RANS.py~
--- a/boundary-layer-RANS-keps-NN/generate-bound-layer-grid.py
+++ b/boundary-layer-RANS-keps-NN/generate-bound-layer-grid.py
@ -0,0 +1,65 @@
+import numpy as np
+import sys
+ni=500 
+xfac=1.005
+ni=1000 
+ni=300 
+xfac=1.01
+nj=90
+viscos=3.57E-5
+dy=7.83208E-004
+yc=np.zeros(nj+1)
+yc[0]=0.
+yfac=1.1
+ustar=1/25
+for j in range(1,nj+1):
+    yc[j]=yc[j-1]+dy
+    yplus=yc[j]*ustar/viscos
+    if dy < 0.05:
+       dy=yfac*dy
+    print('j=%d, y=%7.2E, yplus=%7.2E, dy=%7.2E'%(j,yc[j],yplus,dy))
+
+ymax_scale=yc[nj]
+
+# u_inf=1 => ustar=1.25
+ustar=1/25
+
+# make it 2D
+y2d=np.repeat(yc[None,:], repeats=ni+1, axis=0)
+
+y2d=np.append(y2d,nj)
+np.savetxt('y2d.dat', y2d)
+
+#
+xc=np.zeros(ni+1)
+dx=0.03
+for i in range(1,ni+1):
+   xc[i]=xc[i-1]+dx
+   if dx < 0.5:
+      dx=dx*xfac
+   print('i=%d, x=%7.2E, dx=%7.2E'%(i,xc[i],dx))
+
+
+
+# make it 2D
+x2d=np.repeat(xc[:,None], repeats=nj+1, axis=1)
+x2d_org=x2d
+x2d=np.append(x2d,ni)
+np.savetxt('x2d.dat', x2d)
+
+
+# check it
+datay= np.loadtxt("y2d.dat")
+y=datay[0:-1]
+nj=int(datay[-1])
+
+y2=np.zeros((ni+1,nj+1))
+y2=np.reshape(y,(ni+1,nj+1))
+
+datax= np.loadtxt("x2d.dat")
+x=datax[0:-1]
+ni=int(datax[-1])
+
+x2=np.zeros((ni+1,nj+1))
+x2=np.reshape(x,(ni+1,nj+1))
+
--- a/boundary-layer-RANS-keps-NN/generate-bound-layer-grid.py~
+++ b/boundary-layer-RANS-keps-NN/generate-bound-layer-grid.py~
@ -0,0 +1,63 @@
+import numpy as np
+import sys
+ni=500 
+xfac=1.005
+ni=300 
+xfac=1.01
+nj=90
+viscos=3.57E-5
+dy=7.83208E-004
+yc=np.zeros(nj+1)
+yc[0]=0.
+yfac=1.1
+ustar=1/25
+for j in range(1,nj+1):
+    yc[j]=yc[j-1]+dy
+    yplus=yc[j]*ustar/viscos
+    if dy < 0.05:
+       dy=yfac*dy
+    print('j=%d, y=%7.2E, yplus=%7.2E, dy=%7.2E'%(j,yc[j],yplus,dy))
+
+ymax_scale=yc[nj]
+
+# u_inf=1 => ustar=1.25
+ustar=1/25
+
+# make it 2D
+y2d=np.repeat(yc[None,:], repeats=ni+1, axis=0)
+
+y2d=np.append(y2d,nj)
+np.savetxt('y2d.dat', y2d)
+
+#
+xc=np.zeros(ni+1)
+dx=0.03
+for i in range(1,ni+1):
+   xc[i]=xc[i-1]+dx
+   dx=dx*xfac
+   print('i=%d, x=%7.2E, dx=%7.2E'%(i,xc[i],dx))
+
+
+
+# make it 2D
+x2d=np.repeat(xc[:,None], repeats=nj+1, axis=1)
+x2d_org=x2d
+x2d=np.append(x2d,ni)
+np.savetxt('x2d.dat', x2d)
+
+
+# check it
+datay= np.loadtxt("y2d.dat")
+y=datay[0:-1]
+nj=int(datay[-1])
+
+y2=np.zeros((ni+1,nj+1))
+y2=np.reshape(y,(ni+1,nj+1))
+
+datax= np.loadtxt("x2d.dat")
+x=datax[0:-1]
+ni=int(datax[-1])
+
+x2=np.zeros((ni+1,nj+1))
+x2=np.reshape(x,(ni+1,nj+1))
+
--- a/boundary-layer-RANS-keps-NN/ii
+++ b/boundary-layer-RANS-keps-NN/ii
@ -0,0 +1 @@
+convergence_limit_pp,nsweep_pp,solver_pp
--- a/boundary-layer-RANS-keps-NN/k2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/k2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/modify_case.py
+++ b/boundary-layer-RANS-keps-NN/modify_case.py
@ -0,0 +1,153 @@
+
+def modify_init(u2d,v2d,k2d,om2d,eps2d,vis2d):
+   
+# set inlet field in entre domain
+   u2d=np.repeat(u_bc_west[None,:], repeats=ni, axis=0)
+   k2d=np.repeat(k_bc_west[None,:], repeats=ni, axis=0)
+   #om2d=np.repeat(om_bc_west[None,:], repeats=ni, axis=0)
+   eps2d = cmu * k2d**2 / (100*viscos)
+   eps2d = np.maximum(eps2d, 1e-10)   # guard against null div
+
+   vis2d = cmu * k2d**2 / eps2d + viscos
+
+   return u2d,v2d,k2d,om2d,eps2d,vis2d,dist
+
+def modify_inlet():
+
+   global y_rans,y_rans,u_rans,v_rans,k_rans,om_rans,uv_rans,k_bc_west,eps_bc_west,om_bc_west
+
+   return u_bc_west,v_bc_west,k_bc_west,om_bc_west,eps_bc_west,u2d_face_w,convw
+
+def modify_conv(convw,convs):
+
+   return convw,convs
+
+def modify_u(su2d,sp2d):
+
+   global file1
+
+   su2d[0,:]= su2d[0,:]+convw[0,:]*u_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:,]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*u_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+
+   if iter == 0:
+      print('u(5)=%7.3E,u(10)=%7.3E,u(20)=%7.3E,u(30)=%7.3E,u(40)=%7.3E,u(50)=%7.3E,u(60)=%7.3E'\
+ %(u2d[ni-5,5],u2d[ni-5,10],u2d[ni-5,20],u2d[ni-5,30],u2d[ni-5,40],u2d[ni-5,50],u2d[ni-5,60]))
+
+   if iter == 0:
+      print('file1 opened')
+      l1=[iter,u2d[ni-5,5],u2d[ni-5,10],u2d[ni-5,20],u2d[ni-5,30],u2d[ni-5,40],\
+           u2d[ni-5,50],u2d[ni-5,60]]
+      np.savetxt('u-time-history.dat', l1, newline=" ")
+      file1=open('u-time-history.dat','a') #append
+   else:
+      print('file1 printed')
+      file1.write("\n")
+      l1=[iter,u2d[ni-5,5],u2d[ni-5,10],u2d[ni-5,20],u2d[ni-5,30],u2d[ni-5,40],\
+           u2d[ni-5,50],u2d[ni-5,60]]
+      np.savetxt(file1, l1, newline=" ")
+#         file1.write("\n")
+
+   return su2d,sp2d
+
+def modify_v(su2d,sp2d):
+   su2d[0,:]= su2d[0,:]+convw[0,:]*v_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*v_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+   return su2d,sp2d
+
+def modify_k(su2d,sp2d):
+
+   su2d[0,:]= su2d[0,:]+np.maximum(convw[0,:],0)*k_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*k_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+
+   return su2d,sp2d
+
+def modify_om(su2d,sp2d):
+
+
+   su2d[0,:]= su2d[0,:]+np.maximum(convw[0,:],0)*om_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*om_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+   return su2d,sp2d
+
+def modify_eps(su2d, sp2d):
+   su2d[0,:] = su2d[0,:] + np.maximum(convw[0,:], 0)*eps_bc_west
+   sp2d[0,:] = sp2d[0,:] - convw[0,:]
+   vist = vis2d[0,:] - viscos
+   su2d[0,:] = su2d[0,:] + vist*aw_bound*eps_bc_west
+   sp2d[0,:] = sp2d[0,:] - vist*aw_bound
+   return su2d, sp2d
+
+def modify_outlet(convw):
+
+# inlet
+   flow_in=np.sum(convw[0,:])
+   flow_out=np.sum(convw[-1,:])
+#  flow_out=np.sum(convw[-2,:])
+   area_out=np.sum(areaw[-1,:])
+
+   uinc=(flow_in-flow_out)/area_out
+   ares=areaw[-1,:]
+   convw[-1,:]=convw[-1,:]+uinc*ares
+#  convw[-1,:]=convw[-2,:]+uinc*ares
+
+   print('area_out',area_out)
+
+   flow_out_new=np.sum(convw[-1,:])
+
+   print(f"{'flow_in: '} {flow_in:.3e},{'  flow_out: '} {flow_out:.3e},{'  flow_out_new: '} {flow_out_new:.3e},{'  uinc: '} {uinc:.3e}")
+
+   return convw
+
+def fix_omega():
+
+   aw2d[:,0]=0
+   ae2d[:,0]=0
+   as2d[:,0]=0
+   an2d[:,0]=0
+   ap2d[:,0]=1
+   su2d[:,0]=om_bc_south
+
+   return aw2d,ae2d,as2d,an2d,ap2d,su2d,sp2d
+
+def modify_vis(vis2d):
+
+   return vis2d
+
+
+def fix_k():
+
+   return aw2d,ae2d,as2d,an2d,ap2d,su2d,sp2d
+
+
+def fix_eps():
+   xwall_s = 0.5*(x2d[0:-1,0] + x2d[1:,0])
+   ywall_s = 0.5*(y2d[0:-1,0]+ y2d[1:,0])
+   dist2_s = (yp2d[:,0]- ywall_s)**2 + (xp2d[:,0] - xwall_s)**2
+
+   eps_wall_s = 2*viscos*k2d[:,0] /  dist2_s
+
+   #bc near wall eps
+   aw2d[:,0]=0
+   ae2d[:,0]=0
+   as2d[:,0]=0
+   an2d[:,0]=0
+   ap2d[:,0]=1
+   su2d[:,0]=eps_wall_s
+
+   return aw2d,ae2d,as2d,an2d,ap2d,su2d,sp2d
+   
--- a/boundary-layer-RANS-keps-NN/modify_case.py~
+++ b/boundary-layer-RANS-keps-NN/modify_case.py~
@ -0,0 +1,127 @@
+
+def modify_init(u2d,v2d,k2d,om2d,eps2d,vis2d):
+   
+# set inlet field in entre domain
+   u2d=np.repeat(u_bc_west[None,:], repeats=ni, axis=0)
+   k2d=np.repeat(k_bc_west[None,:], repeats=ni, axis=0)
+   om2d=np.repeat(om_bc_west[None,:], repeats=ni, axis=0)
+
+   vis2d=k2d/om2d+viscos
+
+   return u2d,v2d,k2d,om2d,vis2d,eps2d,dist
+
+def modify_inlet():
+
+   global y_rans,y_rans,u_rans,v_rans,k_rans,om_rans,uv_rans,k_bc_west,eps_bc_west,om_bc_west
+
+   return u_bc_west,v_bc_west,k_bc_west,om_bc_west,eps_bc_west,u2d_face_w,convw
+
+def modify_conv(convw,convs):
+
+   convs[:,0,:]=0
+   convs[:,-1,:]=0
+
+   return convw,convs
+
+def modify_u(su2d,sp2d):
+
+   global file1
+
+   su2d[0,:]= su2d[0,:]+convw[0,:]*u_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:,]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*u_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+
+   if iter == 0:
+      print('u(5)=%7.3E,u(10)=%7.3E,u(20)=%7.3E,u(30)=%7.3E,u(40)=%7.3E,u(50)=%7.3E,u(60)=%7.3E'\
+ %(u2d[ni-5,5],u2d[ni-5,10],u2d[ni-5,20],u2d[ni-5,30],u2d[ni-5,40],u2d[ni-5,50],u2d[ni-5,60]))
+
+   if iter == 0:
+      print('file1 opened')
+      l1=[iter,u2d[ni-5,5],u2d[ni-5,10],u2d[ni-5,20],u2d[ni-5,30],u2d[ni-5,40],\
+           u2d[ni-5,50],u2d[ni-5,60]]
+      np.savetxt('u-time-history.dat', l1, newline=" ")
+      file1=open('u-time-history.dat','a') #append
+   else:
+      print('file1 printed')
+      file1.write("\n")
+      l1=[iter,u2d[ni-5,5],u2d[ni-5,10],u2d[ni-5,20],u2d[ni-5,30],u2d[ni-5,40],\
+           u2d[ni-5,50],u2d[ni-5,60]]
+      np.savetxt(file1, l1, newline=" ")
+#         file1.write("\n")
+
+   return su2d,sp2d
+
+def modify_v(su2d,sp2d):
+   su2d[0,:]= su2d[0,:]+convw[0,:]*v_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*v_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+   return su2d,sp2d
+
+def modify_k(su2d,sp2d):
+
+   su2d[0,:]= su2d[0,:]+np.maximum(convw[0,:],0)*k_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*k_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+
+   return su2d,sp2d
+
+def modify_om(su2d,sp2d):
+
+
+   su2d[0,:]= su2d[0,:]+np.maximum(convw[0,:],0)*om_bc_west
+   sp2d[0,:]= sp2d[0,:]-convw[0,:]
+   vist=vis2d[0,:]-viscos
+   su2d[0,:]=su2d[0,:]+vist*aw_bound*om_bc_west
+   sp2d[0,:]=sp2d[0,:]-vist*aw_bound
+
+   return su2d,sp2d
+
+def modify_outlet(convw):
+
+# inlet
+   flow_in=np.sum(convw[0,:])
+   flow_out=np.sum(convw[-1,:])
+#  flow_out=np.sum(convw[-2,:])
+   area_out=np.sum(areaw[-1,:])
+
+   uinc=(flow_in-flow_out)/area_out
+   ares=areaw[-1,:]
+   convw[-1,:]=convw[-1,:]+uinc*ares
+#  convw[-1,:]=convw[-2,:]+uinc*ares
+
+   print('area_out',area_out)
+
+   flow_out_new=np.sum(convw[-1,:])
+
+   print(f"{'flow_in: '} {flow_in:.3e},{'  flow_out: '} {flow_out:.3e},{'  flow_out_new: '} {flow_out_new:.3e},{'  uinc: '} {uinc:.3e}")
+
+   return convw
+
+def fix_omega():
+
+   aw2d[:,0]=0
+   ae2d[:,0]=0
+   as2d[:,0]=0
+   an2d[:,0]=0
+   ap2d[:,0]=1
+   su2d[:,0]=om_bc_south
+
+   return aw2d,ae2d,as2d,an2d,ap2d,su2d,sp2d
+
+def modify_vis(vis2d):
+
+   return vis2d
+
+
+def fix_k():
+
+   return aw2d,ae2d,as2d,an2d,ap2d,su2d,sp2d
--- a/boundary-layer-RANS-keps-NN/nn/min-max-f_2-f_mu-Re10000.txt
+++ b/boundary-layer-RANS-keps-NN/nn/min-max-f_2-f_mu-Re10000.txt
@ -0,0 +1,8 @@
+3.026999999999999691e-01
+1.000000000000000000e+04
+9.129090677103822438e-02
+1.017652081440606594e+03
+5.894865131530352149e-04
+1.000000000000000000e+00
+3.701268088820057391e-03
+1.000000000000000000e+00
--- a/boundary-layer-RANS-keps-NN/nn/model-f_2-f_mu-Re10000.pth
+++ b/boundary-layer-RANS-keps-NN/nn/model-f_2-f_mu-Re10000.pth
--- a/boundary-layer-RANS-keps-NN/nn/scaler-input0-f_2-f_mu-Re10000.bin
+++ b/boundary-layer-RANS-keps-NN/nn/scaler-input0-f_2-f_mu-Re10000.bin
--- a/boundary-layer-RANS-keps-NN/nn/scaler-input1-f_2-f_mu-Re10000.bin
+++ b/boundary-layer-RANS-keps-NN/nn/scaler-input1-f_2-f_mu-Re10000.bin
--- a/boundary-layer-RANS-keps-NN/nn/scaler-input2-f_2-f_mu-Re10000.bin
+++ b/boundary-layer-RANS-keps-NN/nn/scaler-input2-f_2-f_mu-Re10000.bin
--- a/boundary-layer-RANS-keps-NN/om2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/om2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/out
+++ b/boundary-layer-RANS-keps-NN/out
--- a/boundary-layer-RANS-keps-NN/out_short_cfl
+++ b/boundary-layer-RANS-keps-NN/out_short_cfl
--- a/boundary-layer-RANS-keps-NN/p2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/p2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/plot_inlet_bound.py
+++ b/boundary-layer-RANS-keps-NN/plot_inlet_bound.py
@ -0,0 +1,296 @@
+import scipy.io as sio
+import sys
+import numpy as np
+import matplotlib.pyplot as plt
+from mpl_toolkits.axes_grid1.inset_locator import inset_axes
+from IPython import display
+plt.rcParams.update({'font.size': 22})
+plt.rcParams.update({'figure.max_open_warning': 0})
+
+plt.interactive(True)
+
+viscos=3.57E-5
+
+
+# makes sure figures are updated when using ipython
+display.clear_output(wait=True)
+
+datax= np.loadtxt("x2d.dat")
+x=datax[0:-1]
+ni=int(datax[-1])
+datay= np.loadtxt("y2d.dat")
+y=datay[0:-1]
+nj=int(datay[-1])
+
+x2d=np.zeros((ni+1,nj+1))
+y2d=np.zeros((ni+1,nj+1))
+
+x2d=np.reshape(x,(ni+1,nj+1))
+y2d=np.reshape(y,(ni+1,nj+1))
+
+# compute cell centers
+xp2d=0.25*(x2d[0:-1,0:-1]+x2d[0:-1,1:]+x2d[1:,0:-1]+x2d[1:,1:])
+yp2d=0.25*(y2d[0:-1,0:-1]+y2d[0:-1,1:]+y2d[1:,0:-1]+y2d[1:,1:])
+
+p2d=np.load('p2d_saved.npy')
+u2d=np.load('u2d_saved.npy')
+k2d=np.load('k2d_saved.npy')
+vis2d=np.load('vis2d_saved.npy')
+eps2d = np.load('eps2d_saved.npy')
+k_model2d=np.load('k2d_saved.npy')
+
+vis2d=vis2d/viscos
+
+ustar=(viscos*u2d[:,0]/yp2d[:,0])**0.5
+
+
+#  compute re_theta for boundary layer flow
+dx=x[3]-x[2]
+re_mom_bl=np.zeros(ni)
+for i in range (0,ni-1):
+   d_mom=0
+   for j in range (1,nj-1):
+      up=u2d[i,j]/u2d[i,-1]
+      dy=y2d[i,j]-y2d[i,j-1]
+      d_mom=d_mom+up*(1.-min(up,1.))*dy
+
+   re_mom_bl[i]=d_mom*u2d[i,-1]/viscos
+
+re_mom_bl[-1]=re_mom_bl[-1-1]
+
+cf_exp_retheta=2*(1./0.384*np.log(re_mom_bl)+4.127)**(-2)
+
+
+
+# compute cf
+cf=np.zeros(ni)
+yplus2d=np.zeros((ni,nj))
+for i in range (0,ni-1):
+   uwall=u2d[i,0]
+   yp=yp2d[i,0]
+   ustars=(uwall*viscos/yp)**0.5
+   cf[i]=ustars**2/(0.5*u2d[i,-1]**2)
+   yplus2d[i,:]=ustar[i]*yp2d[i,:]/viscos
+
+cf[-1]=cf[-2]
+
+# find boundary layer thickness
+delta=np.zeros(ni)
+for i in range(1,ni-1):
+   for j in range(0,nj-2):
+      up=u2d[i,j]/u2d[i,-1]
+      up1=u2d[i,j+1]/u2d[i,-1]
+      if up < 0.99 and up1 > 0.99:
+         jj = j
+         break
+   up=u2d[i,jj]/u2d[i,-1]
+   up1=u2d[i,jj+1]/u2d[i,-1]
+   delta[i]=y[jj]+(0.99-up)*(y[jj+1]-y[jj])/(up1-up)
+#  delta[i]=y[jj]+(0.99-u2d[i,jj])*(y[jj+1]-y[jj])/(u2d[i,jj+1]-u2d[i,jj])
+#  delta[i]=y[jj]
+
+delta_inlet=delta[1]
+
+
+delta[0]=delta[1]
+x_delta=np.zeros(ni)
+x_delta=x/delta[0]
+
+vel_DNS=np.genfromtxt("vel_2540_dns.prof", dtype=None,comments="%")
+
+#y/\delta_{99}       y+          U+          urms+       vrms+       wrms+       uv+         prms+       pu+         pv+         S(u)        F(u)        dU+/dy+     V+
+
+y_DNS=vel_DNS[:,0]
+u_DNS=vel_DNS[:,2]
+yplus_DNS=vel_DNS[:,1]
+uu_DNS=vel_DNS[:,3]**2
+vv_DNS=vel_DNS[:,4]**2
+ww_DNS=vel_DNS[:,5]**2
+uv_DNS=vel_DNS[:,6]
+
+# find equi.distant DNS cells in log-scale
+xx=0.
+jDNS=[1]*20
+for i in range (0,20):
+   i1 = (np.abs(10.**xx-yplus_DNS)).argmin()
+   jDNS[i]=int(i1)
+   xx=xx+0.2
+
+
+u_time= np.loadtxt("u-time-history.dat")
+
+u5=u_time[:,1]
+u10=u_time[:,2]
+u20=u_time[:,3]
+u30=u_time[:,4]
+u40=u_time[:,5]
+u50=u_time[:,6]
+u60=u_time[:,7]
+
+
+########################################## Ustar
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.25,bottom=0.20)
+plt.plot(xp2d[:,1]/delta_inlet,ustar,'b-')
+plt.xlabel(r'$x/\delta$')
+plt.ylabel(r"$u_\tau$")
+plt.savefig('ustar-vs-x.png')
+
+
+########################################## U 
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 1
+plt.semilogx(yplus2d[i1,:],u2d[i1,:]/ustar[i1],'b-',label="$x=0$")
+plt.semilogx(yplus_DNS,u_DNS,'o',label="DNS")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.semilogx(yplus2d[i1,:],u2d[i1,:]/ustar[i1],'r-',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.semilogx(yplus2d[i1,:],u2d[i1,:]/ustar[i1],'k-.',label="$x=50$")
+plt.legend(loc="upper left",prop=dict(size=18))
+plt.ylabel("$U$")
+plt.xlabel("$y^+$")
+plt.axis([1, 1000, 0, 28])
+plt.savefig('u_log_python.png',bbox_inches='tight')
+
+########################################## vis 
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yplus2d[i1,:],vis2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yplus2d[i1,:],vis2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yplus2d[i1,:],vis2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$\nu_t/\nu$")
+plt.xlabel("$y^+$")
+plt.axis([1, 1000, 0,130])
+plt.savefig('vis_python.png',bbox_inches='tight')
+
+########################################## vis  vs y
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yp2d[i1,:],vis2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],vis2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],vis2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$\nu_t/\nu$")
+plt.xlabel("$y$")
+plt.axis([0, 3, 0,130])
+plt.savefig('vis_vs_y_python.png',bbox_inches='tight')
+
+########################################## epsilon  vs y
+fig1, ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20, bottom=0.20)
+i1 = 0
+plt.plot(yp2d[i1,:], eps2d[i1,:], 'b-',  label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()
+plt.plot(yp2d[i1,:], eps2d[i1,:], 'r--', label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()
+plt.plot(yp2d[i1,:], eps2d[i1,:], 'k-.', label="$x=50$")
+plt.legend(loc="upper right", prop=dict(size=18))
+plt.ylabel(r"$\varepsilon$")
+plt.xlabel("$y$")
+plt.savefig('eps_vs_y_python.png', bbox_inches='tight')
+
+
+########################################## k
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yplus2d[i1,:],k_model2d[i1,:]/ustar[i1]**2,'b-',label="$x=0$")  # ← i1 not i
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()
+plt.plot(yplus2d[i1,:],k_model2d[i1,:]/ustar[i1]**2,'r--',label="$x=30$") # ← i1
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()
+plt.plot(yplus2d[i1,:],k_model2d[i1,:]/ustar[i1]**2,'k-.',label="$x=50$") # ← i1
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$k$")
+plt.xlabel("$y^+$")
+plt.axis([1, 1000, 0,2.5])
+plt.savefig('k_model_python.png',bbox_inches='tight')
+
+########################################## k vs y
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yp2d[i1,:],k_model2d[i1,:]/ustar[i1]**2,'b-',label="$x=0$")     # ← i1
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()
+plt.plot(yp2d[i1,:],k_model2d[i1,:]/ustar[i1]**2,'r--',label="$x=30$")   # ← i1
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()
+plt.plot(yp2d[i1,:],k_model2d[i1,:]/ustar[i1]**2,'k-.',label="$x=50$")   # ← i1
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$k$")
+plt.xlabel("$y$")
+plt.axis([0, 3, 0,2.5])
+plt.savefig('k_vs_y_python.png',bbox_inches='tight')
+
+########################################## cf
+fig = plt.figure()
+ax1 = fig.add_subplot(111)
+ax2 = ax1.twiny()
+plt.subplots_adjust(left=0.25, bottom=0.2, right=0.92, top=0.82, wspace=0, hspace=0.0)
+ax1.plot(re_mom_bl,cf,'b-',label="$x=0$")
+ax1.plot(re_mom_bl[0::5],cf_exp_retheta[0::5],'bo',label="$x=0$")
+ax1.set_ylabel(r"$C_f$")
+ax1.set_xlabel(r"$Re_\theta$")
+ax1.axis([10,3000,0.003,0.01])
+ax2.axis([0,x_delta[-1], 0.003,0.01])
+
+ax2.set_xlabel(r"$x/\delta_{in}$")
+
+plt.savefig('cf_vs_re_mom.png',bbox_inches='tight')
+
+sys.exit()
+
+########################################## u time
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+plt.plot(u5,'b-',label="$j=5$")
+plt.plot(u10,'r-',label="$j=10$")
+plt.plot(u20,'k-',label="$j=20$")
+plt.plot(u30,'b--',label="$j=30$")
+plt.plot(u40,'r--',label="$j=40$")
+plt.plot(u50,'k--',label="$j=50$")
+plt.plot(u60,'g-',label="$j=60$")
+#plt.legend()
+plt.xlabel('time step')
+plt.ylabel('$U$')
+plt.savefig('u_vs_time.png',bbox_inches='tight')
+
+
+
+
+
+########################################## u
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+# inlet
+i1 = 0
+plt.plot(u2d[i1,:],yp2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(u2d[i1,:],yp2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(u2d[i1,:],yp2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper left",prop=dict(size=18))
+plt.ylabel("$y$")
+plt.xlabel("$U$")
+plt.axis([0, 1.1, 0,2.5])
+plt.savefig('u_python.png',bbox_inches='tight')
--- a/boundary-layer-RANS-keps-NN/plot_inlet_bound.py~
+++ b/boundary-layer-RANS-keps-NN/plot_inlet_bound.py~
@ -0,0 +1,297 @@
+import scipy.io as sio
+import sys
+import numpy as np
+import matplotlib.pyplot as plt
+from mpl_toolkits.axes_grid1.inset_locator import inset_axes
+from IPython import display
+plt.rcParams.update({'font.size': 22})
+plt.rcParams.update({'figure.max_open_warning': 0})
+
+plt.interactive(True)
+
+viscos=3.57E-5
+
+
+# makes sure figures are updated when using ipython
+display.clear_output(wait=True)
+
+datax= np.loadtxt("x2d.dat")
+x=datax[0:-1]
+ni=int(datax[-1])
+datay= np.loadtxt("y2d.dat")
+y=datay[0:-1]
+nj=int(datay[-1])
+
+x2d=np.zeros((ni+1,nj+1))
+y2d=np.zeros((ni+1,nj+1))
+
+x2d=np.reshape(x,(ni+1,nj+1))
+y2d=np.reshape(y,(ni+1,nj+1))
+
+# compute cell centers
+xp2d=0.25*(x2d[0:-1,0:-1]+x2d[0:-1,1:]+x2d[1:,0:-1]+x2d[1:,1:])
+yp2d=0.25*(y2d[0:-1,0:-1]+y2d[0:-1,1:]+y2d[1:,0:-1]+y2d[1:,1:])
+
+p2d=np.load('p2d_saved.npy')
+u2d=np.load('u2d_saved.npy')
+k2d=np.load('k2d_saved.npy')
+vis2d=np.load('vis2d_saved.npy')
+om2d=np.load('om2d_saved.npy')
+k_model2d=np.load('k2d_saved.npy')
+
+vis2d=vis2d/viscos
+
+ustar=(viscos*u2d[:,0]/yp2d[1,0])**0.5
+
+
+#  compute re_theta for boundary layer flow
+dx=x[3]-x[2]
+re_mom_bl=np.zeros(ni)
+for i in range (0,ni-1):
+   d_mom=0
+   for j in range (1,nj-1):
+      up=u2d[i,j]/u2d[i,-1]
+      dy=y2d[i,j]-y2d[i,j-1]
+      d_mom=d_mom+up*(1.-min(up,1.))*dy
+
+   re_mom_bl[i]=d_mom*u2d[i,-1]/viscos
+
+re_mom_bl[-1]=re_mom_bl[-1-1]
+
+cf_exp_retheta=2*(1./0.384*np.log(re_mom_bl)+4.127)**(-2)
+
+
+
+# compute cf
+cf=np.zeros(ni)
+yplus2d=np.zeros((ni,nj))
+for i in range (0,ni-1):
+   uwall=u2d[i,0]
+   yp=yp2d[i,0]
+   ustars=(uwall*viscos/yp)**0.5
+   cf[i]=ustars**2/(0.5*u2d[i,-1]**2)
+   yplus2d[i,:]=ustar[i]*yp2d[i,:]/viscos
+
+cf[-1]=cf[-2]
+
+# find boundary layer thickness
+delta=np.zeros(ni)
+for i in range(1,ni-1):
+   for j in range(0,nj-2):
+      up=u2d[i,j]/u2d[i,-1]
+      up1=u2d[i,j+1]/u2d[i,-1]
+      if up < 0.99 and up1 > 0.99:
+         jj = j
+         break
+   up=u2d[i,jj]/u2d[i,-1]
+   up1=u2d[i,jj+1]/u2d[i,-1]
+   delta[i]=y[jj]+(0.99-up)*(y[jj+1]-y[jj])/(up1-up)
+#  delta[i]=y[jj]+(0.99-u2d[i,jj])*(y[jj+1]-y[jj])/(u2d[i,jj+1]-u2d[i,jj])
+#  delta[i]=y[jj]
+
+delta_inlet=delta[1]
+
+
+delta[0]=delta[1]
+x_delta=np.zeros(ni)
+x_delta=x/delta[0]
+
+vel_DNS=np.genfromtxt("vel_2540_dns.prof", dtype=None,comments="%")
+
+#y/\delta_{99}       y+          U+          urms+       vrms+       wrms+       uv+         prms+       pu+         pv+         S(u)        F(u)        dU+/dy+     V+
+
+y_DNS=vel_DNS[:,0]
+u_DNS=vel_DNS[:,2]
+yplus_DNS=vel_DNS[:,1]
+uu_DNS=vel_DNS[:,3]**2
+vv_DNS=vel_DNS[:,4]**2
+ww_DNS=vel_DNS[:,5]**2
+uv_DNS=vel_DNS[:,6]
+
+# find equi.distant DNS cells in log-scale
+xx=0.
+jDNS=[1]*20
+for i in range (0,20):
+   i1 = (np.abs(10.**xx-yplus_DNS)).argmin()
+   jDNS[i]=int(i1)
+   xx=xx+0.2
+
+
+u_time= np.loadtxt("u-time-history.dat")
+
+u5=u_time[:,1]
+u10=u_time[:,2]
+u20=u_time[:,3]
+u30=u_time[:,4]
+u40=u_time[:,5]
+u50=u_time[:,6]
+u60=u_time[:,7]
+
+
+########################################## Ustar
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.25,bottom=0.20)
+plt.plot(xp2d[:,1]/delta_inlet,ustar,'b-')
+plt.xlabel('r$x/\delta$')
+plt.ylabel(r"$u_\tau$")
+plt.savefig('ustar-vs-x.png')
+
+
+########################################## U 
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 1
+plt.semilogx(yplus2d[i1,:],u2d[i1,:]/ustar[i1],'b-',label="$x=0$")
+plt.semilogx(yplus_DNS,u_DNS,'o',label="DNS")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.semilogx(yplus2d[i1,:],u2d[i1,:]/ustar[i1],'r-',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.semilogx(yplus2d[i1,:],u2d[i1,:]/ustar[i1],'k-.',label="$x=50$")
+plt.legend(loc="upper left",prop=dict(size=18))
+plt.ylabel("$U$")
+plt.xlabel("$y^+$")
+plt.axis([1, 1000, 0, 28])
+plt.savefig('u_log_python.png',bbox_inches='tight')
+
+########################################## vis 
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yplus2d[i1,:],vis2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yplus2d[i1,:],vis2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yplus2d[i1,:],vis2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$\nu_t/\nu$")
+plt.xlabel("$y^+$")
+plt.axis([1, 1000, 0,130])
+plt.savefig('vis_python.png',bbox_inches='tight')
+
+########################################## vis  vs y
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yp2d[i1,:],vis2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],vis2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],vis2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$\nu_t/\nu$")
+plt.xlabel("$y$")
+plt.axis([0, 3, 0,130])
+plt.savefig('vis_vs_y_python.png',bbox_inches='tight')
+
+########################################## omega  vs y
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yp2d[i1,:],om2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],om2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],om2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$\omega$")
+plt.xlabel("$y$")
+plt.axis([0, 3, 0,2])
+plt.savefig('omega_vs_y_python.png',bbox_inches='tight')
+
+
+########################################## k
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yplus2d[i1,:],k_model2d[i1,:]/ustar[i]**2,'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yplus2d[i1,:],k_model2d[i1,:]/ustar[i]**2,'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yplus2d[i1,:],k_model2d[i1,:]/ustar[i]**2,'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$k$")
+plt.xlabel("$y^+$")
+plt.axis([1, 1000, 0,2.5])
+plt.savefig('k_model_python.png',bbox_inches='tight')
+
+########################################## k vs y
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+i1 = 0
+plt.plot(yp2d[i1,:],k_model2d[i1,:]/ustar[i]**2,'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],k_model2d[i1,:]/ustar[i]**2,'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(yp2d[i1,:],k_model2d[i1,:]/ustar[i]**2,'k-.',label="$x=50$")
+plt.legend(loc="upper right",prop=dict(size=18))
+plt.ylabel(r"$k$")
+plt.xlabel("$y$")
+plt.axis([0, 3, 0,2.5])
+plt.savefig('k_model_python.png',bbox_inches='tight')
+
+########################################## cf
+fig = plt.figure()
+ax1 = fig.add_subplot(111)
+ax2 = ax1.twiny()
+plt.subplots_adjust(left=0.25, bottom=0.2, right=0.92, top=0.82, wspace=0, hspace=0.0)
+ax1.plot(re_mom_bl,cf,'b-',label="$x=0$")
+ax1.plot(re_mom_bl[0::5],cf_exp_retheta[0::5],'bo',label="$x=0$")
+ax1.set_ylabel(r"$C_f$")
+ax1.set_xlabel(r"$Re_\theta$")
+ax1.axis([10,3000,0.003,0.01])
+ax2.axis([0,x_delta[-1], 0.003,0.01])
+
+ax2.set_xlabel(r"$x/\delta_{in}$")
+
+plt.savefig('cf_vs_re_mom.png',bbox_inches='tight')
+
+sys.exit()
+
+########################################## u time
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+plt.plot(u5,'b-',label="$j=5$")
+plt.plot(u10,'r-',label="$j=10$")
+plt.plot(u20,'k-',label="$j=20$")
+plt.plot(u30,'b--',label="$j=30$")
+plt.plot(u40,'r--',label="$j=40$")
+plt.plot(u50,'k--',label="$j=50$")
+plt.plot(u60,'g-',label="$j=60$")
+#plt.legend()
+plt.xlabel('time step')
+plt.ylabel('$U$')
+plt.savefig('u_vs_time.png',bbox_inches='tight')
+
+
+
+
+
+########################################## u
+fig1,ax1 = plt.subplots()
+plt.subplots_adjust(left=0.20,bottom=0.20)
+# inlet
+i1 = 0
+plt.plot(u2d[i1,:],yp2d[i1,:],'b-',label="$x=0$")
+xx=30
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(u2d[i1,:],yp2d[i1,:],'r--',label="$x=30$")
+xx=50
+i1 = (np.abs(xx-xp2d[:,1])).argmin()  # find index which closest fits xx
+plt.plot(u2d[i1,:],yp2d[i1,:],'k-.',label="$x=50$")
+plt.legend(loc="upper left",prop=dict(size=18))
+plt.ylabel("$y$")
+plt.xlabel("$U$")
+plt.axis([0, 1.1, 0,2.5])
+plt.savefig('u_python.png',bbox_inches='tight')
--- a/boundary-layer-RANS-keps-NN/run-python
+++ b/boundary-layer-RANS-keps-NN/run-python
@ -0,0 +1,20 @@
+#!/bin/bash
+sed '/setup_case()/d' setup_case.py > temp_file
+
+sed 's/def calceps/def calceps_standard/' ../pyCALC-RANS.py | \
+sed 's/def fix_eps/def fix_eps_standard/' > temp_file1
+
+# assemble with explicit newlines between each file
+{
+    cat ../global
+    echo ""
+    cat temp_file
+    echo ""
+    cat modify_case.py
+    echo ""
+    cat calceps_NN_SR.py
+    echo ""
+    cat temp_file1
+} > exec-pyCALC-RANS.py
+
+/bin/python -u exec-pyCALC-RANS.py > out
--- a/boundary-layer-RANS-keps-NN/run-python~
+++ b/boundary-layer-RANS-keps-NN/run-python~
@ -0,0 +1,7 @@
+#!/bin/bash
+# delete forst line
+sed  '/setup_case()/d' setup_case.py > temp_file
+# add new first line plus global declarations
+cat  ../global temp_file  modify_case.py  \
+../pyCALC-RANS.py  > exec-pyCALC-RANS.py;
+/usr/bin/time -a  -o out python -u  exec-pyCALC-RANS.py > out
--- a/boundary-layer-RANS-keps-NN/run-python~~
+++ b/boundary-layer-RANS-keps-NN/run-python~~
@ -0,0 +1,7 @@
+#!/bin/bash
+# delete forst line
+sed  '/setup_case()/d' setup_case.py > temp_file
+# add new first line plus global declarations
+cat  ../global temp_file  modify_case.py ../synt_fluct.py \
+../pyCALC-LES.py  > exec-pyCALC-LES.py;
+/usr/bin/time -o out python -u  exec-pyCALC-LES.py > out
--- a/boundary-layer-RANS-keps-NN/save.file
+++ b/boundary-layer-RANS-keps-NN/save.file
@ -0,0 +1 @@
+ 0
--- a/boundary-layer-RANS-keps-NN/save.file~
+++ b/boundary-layer-RANS-keps-NN/save.file~
@ -0,0 +1 @@
+ 1
--- a/boundary-layer-RANS-keps-NN/setup_case.py
+++ b/boundary-layer-RANS-keps-NN/setup_case.py
@ -0,0 +1,133 @@
+
+def setup_case():
+   import numpy as np
+   import sys
+
+
+########### section 1 choice of differencing scheme ###########
+   scheme='h'  #hybrid
+   scheme_turb='h'  #hybrid upwind-central 
+
+########### section 2 turbulence models ###########
+   cmu=0.09
+   kom  = False 
+   keps = True
+   c_eps_1=1.5
+   c_eps_2 = 1.9
+   prand_eps=1.4
+   prand_k=1.4
+#dummy vals
+   c_omega_1 = 5./9.
+   c_omega_2 = 3./40.
+   prand_omega = 2.0
+   urf_omega = 0.5
+
+########### section 3 restart/save ###########
+   restart = False
+   save = True
+
+########### section 4 fluid properties ###########
+   viscos=3.57E-5
+
+########### section 5 relaxation factors ###########
+   urfvis=0.5
+   urf_vel=0.5
+   urf_k=0.5
+   urf_p=1.0
+   urf_eps=0.5
+
+########### section 6 number of iteration and convergence criterira ###########
+   maxit=2000
+   min_iter=1
+   sormax=5e-5
+
+   solver_vel='lgmres'
+   solver_pp='pyamg'
+   solver_turb='gmres'
+
+   nsweep_vel=50
+   nsweep_pp=50
+   nsweep_turb=50
+   convergence_limit_u=-1e-6
+   convergence_limit_v=-1e-6
+   convergence_limit_k=-1e-6 # use absolute conv. criterion
+   convergence_limit_om=-1e-6 # use absolute conv. criterion
+   convergence_limit_eps=-1e-6 # use absolute conv. criterion
+   convergence_limit_pp=5e-2
+
+########### section 7 all variables are printed during the iteration at node ###########
+   imon=ni-10
+   jmon=int(nj/2)
+
+########### section 8 save data for post-processing ###########
+   vtk=False
+   save_all_files=False
+   vtk_file_name='bound'
+
+########### section 9 residual scaling parameters ###########
+   uin=1
+   resnorm_p=uin*y2d[1,-1]
+   resnorm_vel=uin**2*y2d[1,-1]
+
+
+########### Section 10 boundary conditions ###########
+
+# boundary conditions for u
+   u_bc_west=np.ones(nj)
+   u_bc_east=np.zeros(nj)
+   u_bc_south=np.zeros(ni)
+   u_bc_north=np.zeros(ni)
+
+   u_bc_west_type='d' 
+   u_bc_east_type='n' 
+   u_bc_south_type='d'
+   u_bc_north_type='n'
+
+# boundary conditions for v
+   v_bc_west=np.zeros(nj)
+   v_bc_east=np.zeros(nj)
+   v_bc_south=np.zeros(ni)
+   v_bc_north=np.zeros(ni)
+
+   v_bc_west_type='d' 
+   v_bc_east_type='n' 
+   v_bc_south_type='d'
+   v_bc_north_type='d'
+
+# boundary conditions for p
+   p_bc_west=np.zeros(nj)
+   p_bc_east=np.zeros(nj)
+   p_bc_south=np.zeros(ni)
+   p_bc_north=np.zeros(ni)
+
+   p_bc_west_type='n'
+   p_bc_east_type='n'
+   p_bc_south_type='n'
+   p_bc_north_type='n'
+
+# boundary conditions for k
+   k_bc_west=np.ones(nj)*1e-2
+   k_bc_west[10:]=1e-5
+   k_bc_east=np.zeros(nj)
+   k_bc_south=np.zeros(ni)
+   k_bc_north=np.ones(ni)*1e-5
+
+   k_bc_west_type='d'
+   k_bc_east_type='n'
+   k_bc_south_type='d'
+   k_bc_north_type='n'
+
+# boundary conditions
+   eps_bc_west=np.ones(nj)*1e-8
+   eps_bc_east=np.zeros(nj)
+   eps_bc_south=np.zeros(ni)
+   eps_bc_north=np.zeros(ni)
+
+   eps_bc_west_type='d'
+   eps_bc_east_type='n'
+   eps_bc_south_type='d'
+   eps_bc_north_type='n'
+
+   return 
+
+
--- a/boundary-layer-RANS-keps-NN/setup_case.py~
+++ b/boundary-layer-RANS-keps-NN/setup_case.py~
@ -0,0 +1,131 @@
+
+def setup_case():
+   import numpy as np
+   import sys
+
+
+########### section 1 choice of differencing scheme ###########
+   scheme='h'  #hybrid
+   scheme_turb='h'  #hybrid upwind-central 
+
+########### section 2 turbulence models ###########
+   cmu=0.09
+   kom = True
+   c_omega_1= 5./9.
+   c_omega_2=3./40.
+   prand_omega=2.0
+   prand_k=2.0
+
+########### section 3 restart/save ###########
+   restart = False
+   save = True
+
+########### section 4 fluid properties ###########
+   viscos=3.57E-5
+
+########### section 5 relaxation factors ###########
+   urfvis=0.5
+   urf_vel=0.5
+   urf_k=0.5
+   urf_p=1.0
+   urf_omega=0.5
+
+########### section 6 number of iteration and convergence criterira ###########
+   maxit=2000
+   min_iter=1
+   sormax=5e-5
+
+   solver_vel='lgmres'
+   solver_pp='pyamg'
+   solver_turb='gmres'
+
+   nsweep_vel=50
+   nsweep_pp=50
+   nsweep_kom=50
+   convergence_limit_u=1e-6
+   convergence_limit_v=1e-6
+   convergence_limit_k=-1e-6 # use absolute conv. criterion
+   convergence_limit_om=-1e-6 # use absolute conv. criterion
+   convergence_limit_pp=5e-2
+
+########### section 7 all variables are printed during the iteration at node ###########
+   imon=ni-10
+   jmon=int(nj/2)
+
+########### section 8 save data for post-processing ###########
+   vtk=False
+   save_all_files=False
+   vtk_file_name='bound'
+
+########### section 9 residual scaling parameters ###########
+   uin=1
+   resnorm_p=uin*y2d[1,-1]
+   resnorm_vel=uin**2*y2d[1,-1]
+
+
+########### Section 10 boundary conditions ###########
+
+# boundary conditions for u
+   u_bc_west=np.ones(nj)
+   u_bc_east=np.zeros(nj)
+   u_bc_south=np.zeros(ni)
+   u_bc_north=np.zeros(ni)
+
+   u_bc_west_type='d' 
+   u_bc_east_type='n' 
+   u_bc_south_type='d'
+   u_bc_north_type='n'
+
+# boundary conditions for v
+   v_bc_west=np.zeros(nj)
+   v_bc_east=np.zeros(nj)
+   v_bc_south=np.zeros(ni)
+   v_bc_north=np.zeros(ni)
+
+   v_bc_west_type='d' 
+   v_bc_east_type='n' 
+   v_bc_south_type='d'
+   v_bc_north_type='d'
+
+# boundary conditions for p
+   p_bc_west=np.zeros(nj)
+   p_bc_east=np.zeros(nj)
+   p_bc_south=np.zeros(ni)
+   p_bc_north=np.zeros(ni)
+
+   p_bc_west_type='n'
+   p_bc_east_type='n'
+   p_bc_south_type='n'
+   p_bc_north_type='n'
+
+# boundary conditions for k
+   k_bc_west=np.ones(nj)*1e-2
+   k_bc_west[10:]=1e-5
+   k_bc_east=np.zeros(nj)
+   k_bc_south=np.zeros(ni)
+   k_bc_north=np.ones(ni)*1e-5
+
+   k_bc_west_type='d'
+   k_bc_east_type='n'
+   k_bc_south_type='d'
+   k_bc_north_type='n'
+
+# boundary conditions for omega
+   om_bc_west=np.ones(nj)
+   om_bc_east=np.zeros(nj)
+   om_bc_south=np.zeros(ni)
+   om_bc_north=np.zeros(ni)
+
+   xwall_s=0.5*(x2d[0:-1,0]+x2d[1:,0])
+   ywall_s=0.5*(y2d[0:-1,0]+y2d[1:,0])
+   dist2_s=(yp2d[:,0]-ywall_s)**2+(xp2d[:,0]-xwall_s)**2
+   om_bc_south=6*viscos/0.075/dist2_s
+
+   om_bc_west_type='d'
+   om_bc_east_type='n'
+   om_bc_south_type='d'
+   om_bc_north_type='n'
+
+   return 
+
+
--- a/boundary-layer-RANS-keps-NN/temp_file
+++ b/boundary-layer-RANS-keps-NN/temp_file
@ -0,0 +1,132 @@
+
+   import numpy as np
+   import sys
+
+
+########### section 1 choice of differencing scheme ###########
+   scheme='h'  #hybrid
+   scheme_turb='h'  #hybrid upwind-central 
+
+########### section 2 turbulence models ###########
+   cmu=0.09
+   kom  = False 
+   keps = True
+   c_eps_1=1.5
+   c_eps_2 = 1.9
+   prand_eps=1.4
+   prand_k=1.4
+#dummy vals
+   c_omega_1 = 5./9.
+   c_omega_2 = 3./40.
+   prand_omega = 2.0
+   urf_omega = 0.5
+
+########### section 3 restart/save ###########
+   restart = False
+   save = True
+
+########### section 4 fluid properties ###########
+   viscos=3.57E-5
+
+########### section 5 relaxation factors ###########
+   urfvis=0.5
+   urf_vel=0.5
+   urf_k=0.5
+   urf_p=1.0
+   urf_eps=0.5
+
+########### section 6 number of iteration and convergence criterira ###########
+   maxit=2000
+   min_iter=1
+   sormax=5e-5
+
+   solver_vel='lgmres'
+   solver_pp='pyamg'
+   solver_turb='gmres'
+
+   nsweep_vel=50
+   nsweep_pp=50
+   nsweep_turb=50
+   convergence_limit_u=-1e-6
+   convergence_limit_v=-1e-6
+   convergence_limit_k=-1e-6 # use absolute conv. criterion
+   convergence_limit_om=-1e-6 # use absolute conv. criterion
+   convergence_limit_eps=-1e-6 # use absolute conv. criterion
+   convergence_limit_pp=5e-2
+
+########### section 7 all variables are printed during the iteration at node ###########
+   imon=ni-10
+   jmon=int(nj/2)
+
+########### section 8 save data for post-processing ###########
+   vtk=False
+   save_all_files=False
+   vtk_file_name='bound'
+
+########### section 9 residual scaling parameters ###########
+   uin=1
+   resnorm_p=uin*y2d[1,-1]
+   resnorm_vel=uin**2*y2d[1,-1]
+
+
+########### Section 10 boundary conditions ###########
+
+# boundary conditions for u
+   u_bc_west=np.ones(nj)
+   u_bc_east=np.zeros(nj)
+   u_bc_south=np.zeros(ni)
+   u_bc_north=np.zeros(ni)
+
+   u_bc_west_type='d' 
+   u_bc_east_type='n' 
+   u_bc_south_type='d'
+   u_bc_north_type='n'
+
+# boundary conditions for v
+   v_bc_west=np.zeros(nj)
+   v_bc_east=np.zeros(nj)
+   v_bc_south=np.zeros(ni)
+   v_bc_north=np.zeros(ni)
+
+   v_bc_west_type='d' 
+   v_bc_east_type='n' 
+   v_bc_south_type='d'
+   v_bc_north_type='d'
+
+# boundary conditions for p
+   p_bc_west=np.zeros(nj)
+   p_bc_east=np.zeros(nj)
+   p_bc_south=np.zeros(ni)
+   p_bc_north=np.zeros(ni)
+
+   p_bc_west_type='n'
+   p_bc_east_type='n'
+   p_bc_south_type='n'
+   p_bc_north_type='n'
+
+# boundary conditions for k
+   k_bc_west=np.ones(nj)*1e-2
+   k_bc_west[10:]=1e-5
+   k_bc_east=np.zeros(nj)
+   k_bc_south=np.zeros(ni)
+   k_bc_north=np.ones(ni)*1e-5
+
+   k_bc_west_type='d'
+   k_bc_east_type='n'
+   k_bc_south_type='d'
+   k_bc_north_type='n'
+
+# boundary conditions
+   eps_bc_west=np.ones(nj)*1e-8
+   eps_bc_east=np.zeros(nj)
+   eps_bc_south=np.zeros(ni)
+   eps_bc_north=np.zeros(ni)
+
+   eps_bc_west_type='d'
+   eps_bc_east_type='n'
+   eps_bc_south_type='d'
+   eps_bc_north_type='n'
+
+   return 
+
+
--- a/boundary-layer-RANS-keps-NN/temp_file1
+++ b/boundary-layer-RANS-keps-NN/temp_file1
--- a/boundary-layer-RANS-keps-NN/u-time-history.dat
+++ b/boundary-layer-RANS-keps-NN/u-time-history.dat
@ -0,0 +1,899 @@
+0.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 
+1.000000000000000000e+00 9.997297265121901644e-01 1.000002025035928721e+00 1.000035617142808642e+00 1.000059856983592121e+00 1.000069289792071991e+00 1.000060810138005296e+00 1.000049439629711046e+00 
+2.000000000000000000e+00 9.987974828200216759e-01 1.000003645599672364e+00 1.000115165318306687e+00 1.000191783677567781e+00 1.000221658537179703e+00 1.000195313281218690e+00 1.000159682211955614e+00 
+3.000000000000000000e+00 9.971234012742821173e-01 9.999981610962338507e-01 1.000133556889817532e+00 1.000221193931528862e+00 1.000308259022761659e+00 1.000305198922886385e+00 1.000259819014445828e+00 
+4.000000000000000000e+00 9.943740568827530435e-01 9.999800090201056424e-01 1.000143761710210022e+00 1.000233729581945674e+00 1.000358115829838690e+00 1.000382822961928930e+00 1.000336125373557650e+00 
+5.000000000000000000e+00 9.902271385894277911e-01 9.999423135279094099e-01 1.000141932472809803e+00 1.000233806320615093e+00 1.000377241861601929e+00 1.000425852885397093e+00 1.000385359810588293e+00 
+6.000000000000000000e+00 9.844616371751531148e-01 9.998847834239963372e-01 1.000157276438651044e+00 1.000243242181702907e+00 1.000411570285899332e+00 1.000483059471221070e+00 1.000444389399848699e+00 
+7.000000000000000000e+00 9.769971108924395686e-01 9.997978046056931190e-01 1.000166822302311465e+00 1.000253732610615787e+00 1.000455997532348373e+00 1.000558993174008204e+00 1.000520208524722898e+00 
+8.000000000000000000e+00 9.679150643339915483e-01 9.996721315293638499e-01 1.000212268433155360e+00 1.000270916189657244e+00 1.000502253264825336e+00 1.000626745870199619e+00 1.000587669997942575e+00 
+9.000000000000000000e+00 9.574091798857217173e-01 9.994996907800552943e-01 1.000324845902231807e+00 1.000293407845911586e+00 1.000565046938822977e+00 1.000708156816431105e+00 1.000663877587117279e+00 
+1.000000000000000000e+01 9.457345605948611622e-01 9.992594636089071614e-01 1.000392781100387207e+00 1.000298324506519343e+00 1.000610083935040029e+00 1.000776053763488660e+00 1.000735009874243575e+00 
+1.100000000000000000e+01 9.331539541541126193e-01 9.989377907431435943e-01 1.000428786501104783e+00 1.000303012961394789e+00 1.000641279272370232e+00 1.000801168415386577e+00 1.000753426912216026e+00 
+1.200000000000000000e+01 9.199225209562233996e-01 9.985253640673780184e-01 1.000525745256250154e+00 1.000316438794945917e+00 1.000686792286204829e+00 1.000821924260272056e+00 1.000791043402160074e+00 
+1.300000000000000000e+01 9.062473087301494701e-01 9.980036911262896160e-01 1.000637172752045112e+00 1.000334395126058151e+00 1.000741767666182724e+00 1.000853173313593025e+00 1.000845785321725856e+00 
+1.400000000000000000e+01 8.923255968528573945e-01 9.973564080116726904e-01 1.000677700020729866e+00 1.000366750525742976e+00 1.000810967250395533e+00 1.000903891737769724e+00 1.000922389621613950e+00 
+1.500000000000000000e+01 8.782997017120601768e-01 9.965726920816320167e-01 1.000710664714137055e+00 1.000407815245517362e+00 1.000874853182400770e+00 1.000959216624231818e+00 1.000990613947684293e+00 
+1.600000000000000000e+01 8.642853631850250240e-01 9.956358481144335082e-01 1.000707180897669968e+00 1.000426140984902679e+00 1.000895062812704461e+00 1.001002675958508448e+00 1.001018065231505716e+00 
+1.700000000000000000e+01 8.503830729574433089e-01 9.945383370399983880e-01 1.000704312446682565e+00 1.000445233280871982e+00 1.000908168474733628e+00 1.001043538499253094e+00 1.001036454222734129e+00 
+1.800000000000000000e+01 8.366674399870579482e-01 9.932741330823275927e-01 1.000718117030959586e+00 1.000484569115029254e+00 1.000937334196823070e+00 1.001095842978499517e+00 1.001067805976634251e+00 
+1.900000000000000000e+01 8.231885133068908011e-01 9.918368013841258879e-01 1.000742214887488934e+00 1.000538549571950098e+00 1.000980707372609579e+00 1.001164155136154754e+00 1.001109028594791228e+00 
+2.000000000000000000e+01 8.099807205115906461e-01 9.902199813306761245e-01 1.000759161140780673e+00 1.000587066273793235e+00 1.001021757009695534e+00 1.001232352995751862e+00 1.001146096085520742e+00 
+2.100000000000000000e+01 7.970686615136691744e-01 9.884195433061554459e-01 1.000764140456078977e+00 1.000623883864879105e+00 1.001054501796088791e+00 1.001290329056528261e+00 1.001175837203218899e+00 
+2.200000000000000000e+01 7.844693837984302309e-01 9.864338156117700152e-01 1.000761400743315432e+00 1.000654174904147098e+00 1.001083157520848976e+00 1.001340713720984654e+00 1.001202516169586332e+00 
+2.300000000000000000e+01 7.721917425875893803e-01 9.842626456490537468e-01 1.000756125908861982e+00 1.000684662096705146e+00 1.001113164812873491e+00 1.001389470267116666e+00 1.001231842588071297e+00 
+2.400000000000000000e+01 7.602385203854017393e-01 9.819068287894451297e-01 1.000749514948078067e+00 1.000717303251435597e+00 1.001146192081977304e+00 1.001439866599274309e+00 1.001265809261654871e+00 
+2.500000000000000000e+01 7.486080292169958739e-01 9.793680381824654280e-01 1.000740193605114792e+00 1.000750721243558683e+00 1.001180858391018225e+00 1.001491708327321151e+00 1.001303181814989340e+00 
+2.600000000000000000e+01 7.372958038884025456e-01 9.766490978745455687e-01 1.000726422276305261e+00 1.000782933471705327e+00 1.001214856785765051e+00 1.001542756807261458e+00 1.001341537234293533e+00 
+2.700000000000000000e+01 7.262951861850888147e-01 9.737540124196470970e-01 1.000707083849505130e+00 1.000812768731630387e+00 1.001246707392425828e+00 1.001591002609077075e+00 1.001379793840950105e+00 
+2.800000000000000000e+01 7.155978798380162598e-01 9.706879574065920835e-01 1.000682378195656863e+00 1.000840986333794369e+00 1.001276880594756724e+00 1.001637052858057819e+00 1.001418570665826291e+00 
+2.900000000000000000e+01 7.051944983449925930e-01 9.674570832554230115e-01 1.000652749065056302e+00 1.000868879261126443e+00 1.001306313986302987e+00 1.001681983856274050e+00 1.001458727314882946e+00 
+3.000000000000000000e+01 6.950749804093003803e-01 9.640683141080583773e-01 1.000618181059361955e+00 1.000897201328705632e+00 1.001335515715733315e+00 1.001726549887226758e+00 1.001501374534295996e+00 
+3.100000000000000000e+01 6.852289115428540356e-01 9.605292307735887603e-01 1.000578265208523332e+00 1.000926153002376306e+00 1.001364498311655193e+00 1.001770553647542528e+00 1.001546728711903755e+00 
+3.200000000000000000e+01 6.756457922313245934e-01 9.568479977645535373e-01 1.000532464450417436e+00 1.000955726150377423e+00 1.001392929947252153e+00 1.001813433141797383e+00 1.001594616573176610e+00 
+3.300000000000000000e+01 6.663152907535199176e-01 9.530332832287600198e-01 1.000480305477385201e+00 1.000985983246109878e+00 1.001420826781968421e+00 1.001854704444592237e+00 1.001643958404716539e+00 
+3.400000000000000000e+01 6.572271518523342682e-01 9.490939620086464856e-01 1.000421078717438572e+00 1.001016546367371252e+00 1.001447827093518539e+00 1.001894207479927079e+00 1.001693995095240153e+00 
+3.500000000000000000e+01 6.483714121158563604e-01 9.450390872048590740e-01 1.000354391193589043e+00 1.001047657393498769e+00 1.001474035398397966e+00 1.001932358072121110e+00 1.001744410157457743e+00 
+3.600000000000000000e+01 6.397385676526610165e-01 9.408778087955801395e-01 1.000280097358989151e+00 1.001080062570673279e+00 1.001499948519140260e+00 1.001969954683340713e+00 1.001794975065043225e+00 
+3.700000000000000000e+01 6.313195233021035024e-01 9.366191659482029364e-01 1.000197893154448403e+00 1.001114231478470895e+00 1.001525968807368328e+00 1.002007471207783551e+00 1.001845616163671515e+00 
+3.800000000000000000e+01 6.231056233917248166e-01 9.322719933183232222e-01 1.000107302604838821e+00 1.001150277642084196e+00 1.001552206351901564e+00 1.002045091718870573e+00 1.001896195828626768e+00 
+3.900000000000000000e+01 6.150886543250132510e-01 9.278448449492505690e-01 1.000007795771408192e+00 1.001188154452201662e+00 1.001578662311904511e+00 1.002082740896822033e+00 1.001946319437761579e+00 
+4.000000000000000000e+01 6.072608485785949695e-01 9.233459395174249407e-01 9.998988642087803802e-01 1.001227766921350515e+00 1.001605274065389128e+00 1.002120121800239572e+00 1.001995881892940199e+00 
+4.100000000000000000e+01 5.996148728035460840e-01 9.187831197522959847e-01 9.997801021301181423e-01 1.001269228782611487e+00 1.001632109617512256e+00 1.002157371755379112e+00 1.002045162438708781e+00 
+4.200000000000000000e+01 5.921438251334892877e-01 9.141638215344820573e-01 9.996511548472476472e-01 1.001312739720429112e+00 1.001659348233133962e+00 1.002194666203364504e+00 1.002094492606162124e+00 
+4.300000000000000000e+01 5.848412197276000590e-01 9.094950488113964226e-01 9.995116171977360686e-01 1.001358391379020718e+00 1.001687127539669042e+00 1.002232196109535955e+00 1.002143623501475567e+00 
+4.400000000000000000e+01 5.777009490193368846e-01 9.047833601347218258e-01 9.993610203602837361e-01 1.001406103791833369e+00 1.001715500364315226e+00 1.002270311018094162e+00 1.002191865713803587e+00 
+4.500000000000000000e+01 5.707172583519206643e-01 9.000348666823342336e-01 9.991989061790510496e-01 1.001455842369474603e+00 1.001744529358984614e+00 1.002309511597032188e+00 1.002238823182160177e+00 
+4.600000000000000000e+01 5.638847334401633216e-01 8.952552659407214675e-01 9.990248537899645287e-01 1.001507625606328000e+00 1.001774395169294563e+00 1.002349842113938072e+00 1.002285050136003886e+00 
+4.700000000000000000e+01 5.571982599291751548e-01 8.904498183723978944e-01 9.988383815391963516e-01 1.001561239949889881e+00 1.001805139388695753e+00 1.002390987580885628e+00 1.002331238309410066e+00 
+4.800000000000000000e+01 5.506530029042280283e-01 8.856233717041002151e-01 9.986389863570063197e-01 1.001616482187642099e+00 1.001836703810589091e+00 1.002432584952008821e+00 1.002377503151816285e+00 
+4.900000000000000000e+01 5.442444018957524055e-01 8.807804127645055825e-01 9.984262200855457126e-01 1.001673304455478197e+00 1.001869022022238154e+00 1.002474641348613860e+00 1.002423785384465749e+00 
+5.000000000000000000e+01 5.379681483559133337e-01 8.759250882517292114e-01 9.981996419039099733e-01 1.001731666092304573e+00 1.001902120684046826e+00 1.002517098541670260e+00 1.002470109786238073e+00 
+5.100000000000000000e+01 5.318201560101970538e-01 8.710612080378984379e-01 9.979587999319790015e-01 1.001791520836658123e+00 1.001935963791736883e+00 1.002559835312477166e+00 1.002516385773264407e+00 
+5.200000000000000000e+01 5.257965488160463163e-01 8.661922780807571609e-01 9.977032135404774182e-01 1.001852741671484637e+00 1.001970651360157838e+00 1.002602737590216453e+00 1.002562514394191862e+00 
+5.300000000000000000e+01 5.198936214247067422e-01 8.613214876675839848e-01 9.974323744457600505e-01 1.001915188152209257e+00 1.002006205555241669e+00 1.002645792737962838e+00 1.002608358713453107e+00 
+5.400000000000000000e+01 5.141078531353482362e-01 8.564517732731175004e-01 9.971457606052507305e-01 1.001978693795521291e+00 1.002042622740395794e+00 1.002689055229185611e+00 1.002654020747475005e+00 
+5.500000000000000000e+01 5.084358834189899312e-01 8.515858256042626584e-01 9.968428506512253540e-01 1.002043140598258386e+00 1.002079853578487389e+00 1.002732594489176288e+00 1.002699608896032935e+00 
+5.600000000000000000e+01 5.028745088864516877e-01 8.467261231939683386e-01 9.965232062543055713e-01 1.002108650323097816e+00 1.002117906711001538e+00 1.002776589385760087e+00 1.002745258215417934e+00 
+5.700000000000000000e+01 4.974206670568233069e-01 8.418749480514144956e-01 9.961863435479529905e-01 1.002175171133437459e+00 1.002156778146662486e+00 1.002821038636580786e+00 1.002791052019357920e+00 
+5.800000000000000000e+01 4.920714041631975566e-01 8.370343562070401422e-01 9.958316794236327096e-01 1.002242411965875712e+00 1.002196462350731121e+00 1.002865717559379144e+00 1.002837022565773450e+00 
+5.900000000000000000e+01 4.868238922373502864e-01 8.322062362464314189e-01 9.954586837744093808e-01 1.002310272411341963e+00 1.002236846555014882e+00 1.002910705894375809e+00 1.002882937307226108e+00 
+6.000000000000000000e+01 4.816754222998472779e-01 8.273923380728387400e-01 9.950668681778350733e-01 1.002378739907201499e+00 1.002277929244610233e+00 1.002955808369993207e+00 1.002928914012589656e+00 
+6.100000000000000000e+01 4.766233952027488230e-01 8.225942743106922084e-01 9.946557627979468741e-01 1.002447820895745023e+00 1.002319738150149409e+00 1.003001136492735368e+00 1.002975057980642903e+00 
+6.200000000000000000e+01 4.716653045441412395e-01 8.178135176444387699e-01 9.942248654019738563e-01 1.002517417804001054e+00 1.002362271861418019e+00 1.003046694731841715e+00 1.003021219848770684e+00 
+6.300000000000000000e+01 4.667987194194790357e-01 8.130513899373180697e-01 9.937736746975897040e-01 1.002587472356707865e+00 1.002405553740839617e+00 1.003092466770518110e+00 1.003067357593984577e+00 
+6.400000000000000000e+01 4.620213290035434239e-01 8.083091600678899979e-01 9.933017538588518880e-01 1.002658000924289139e+00 1.002449551677245365e+00 1.003138430151704785e+00 1.003113650250374800e+00 
+6.500000000000000000e+01 4.573308717721701888e-01 8.035879477168350604e-01 9.928086351131818477e-01 1.002728932534926010e+00 1.002494188293800326e+00 1.003184531538044100e+00 1.003160113196197800e+00 
+6.600000000000000000e+01 4.527251844864105257e-01 7.988888060429513160e-01 9.922938345529717097e-01 1.002800112282034917e+00 1.002539464672029368e+00 1.003230788166195708e+00 1.003206763412491931e+00 
+6.700000000000000000e+01 4.482021711429269861e-01 7.942126953714303550e-01 9.917569552542989664e-01 1.002871556032044476e+00 1.002585386863899641e+00 1.003277217524808584e+00 1.003253392683352452e+00 
+6.800000000000000000e+01 4.437598029760727592e-01 7.895604993634119939e-01 9.911976053108813023e-01 1.002943234349809698e+00 1.002631956008527503e+00 1.003323890700611232e+00 1.003300121652875632e+00 
+6.900000000000000000e+01 4.393961163432504313e-01 7.849330258434534802e-01 9.906153972229095883e-01 1.003015081216136251e+00 1.002679107845142692e+00 1.003370790924416944e+00 1.003347020603553297e+00 
+7.000000000000000000e+01 4.351092225868785635e-01 7.803310365656269676e-01 9.900100223270783539e-01 1.003087126511571725e+00 1.002726804900092805e+00 1.003417800522892867e+00 1.003393989495386940e+00 
+7.100000000000000000e+01 4.308972871574116570e-01 7.757552179925621960e-01 9.893811894482749114e-01 1.003159388991599732e+00 1.002775083752136087e+00 1.003464859739476633e+00 1.003440988300894565e+00 
+7.200000000000000000e+01 4.267585389099127768e-01 7.712062142468495418e-01 9.887286039513746294e-01 1.003231768660862944e+00 1.002823944151843616e+00 1.003511932822031438e+00 1.003488007921276459e+00 
+7.300000000000000000e+01 4.226912645937009327e-01 7.666846260350792530e-01 9.880520630431622875e-01 1.003304298125004435e+00 1.002873444095679911e+00 1.003559058178648655e+00 1.003535088810576736e+00 
+7.400000000000000000e+01 4.186937991310141771e-01 7.621909932222873385e-01 9.873513820656386608e-01 1.003376971148103758e+00 1.002923577224430041e+00 1.003606358177384417e+00 1.003582360309358323e+00 
+7.500000000000000000e+01 4.147645291814710533e-01 7.577258198061049832e-01 9.866263643563351060e-01 1.003449682488278816e+00 1.002974243147601641e+00 1.003653836934935484e+00 1.003629774417114318e+00 
+7.600000000000000000e+01 4.109018918404307996e-01 7.532895733508353509e-01 9.858768748033679419e-01 1.003522411577176143e+00 1.003025413836965862e+00 1.003701510323933954e+00 1.003677203032989462e+00 
+7.700000000000000000e+01 4.071043721064647181e-01 7.488826899519571700e-01 9.851028320113613956e-01 1.003595135909176594e+00 1.003077093299467704e+00 1.003749351149947566e+00 1.003724546351850710e+00 
+7.800000000000000000e+01 4.033704945724600477e-01 7.445055616814639787e-01 9.843041858779659758e-01 1.003667857119849183e+00 1.003129271855657256e+00 1.003797312618124549e+00 1.003771895300394679e+00 
+7.900000000000000000e+01 3.996988352951522105e-01 7.401585704732986937e-01 9.834809445944868722e-01 1.003740593774811174e+00 1.003181948268793366e+00 1.003845342997182533e+00 1.003819320429853779e+00 
+8.000000000000000000e+01 3.960880136347931235e-01 7.358420743909110939e-01 9.826331445534062237e-01 1.003813343065079522e+00 1.003235127885059974e+00 1.003893489249660487e+00 1.003866854531012098e+00 
+8.100000000000000000e+01 3.925366818363442145e-01 7.315563960697423207e-01 9.817608151038483832e-01 1.003885995432705514e+00 1.003288789119884505e+00 1.003941742280148652e+00 1.003914467589380521e+00 
+8.200000000000000000e+01 3.890435285034817836e-01 7.273018250927225647e-01 9.808640295839111678e-01 1.003958514332908170e+00 1.003342921296600299e+00 1.003990089714440481e+00 1.003962152978438382e+00 
+8.300000000000000000e+01 3.856072869995861296e-01 7.230786485122039364e-01 9.799429210551890979e-01 1.004030898505709368e+00 1.003397537827755759e+00 1.004038518748696207e+00 1.004009941906244041e+00 
+8.400000000000000000e+01 3.822267258490613107e-01 7.188871315414088192e-01 9.789976337322501276e-01 1.004103115305782445e+00 1.003452633150477391e+00 1.004087008708412387e+00 1.004057881737612679e+00 
+8.500000000000000000e+01 3.789006477536459028e-01 7.147275235724230846e-01 9.780283264255403841e-01 1.004175104156717513e+00 1.003508174402802267e+00 1.004135579348947260e+00 1.004105865400898079e+00 
+8.600000000000000000e+01 3.756278869481567417e-01 7.106000495279330975e-01 9.770351817367316505e-01 1.004246823715081005e+00 1.003564156898209436e+00 1.004184220260547100e+00 1.004153847901910090e+00 
+8.700000000000000000e+01 3.724073146246766330e-01 7.065049269232671625e-01 9.760184272552591134e-01 1.004318270752490472e+00 1.003620603677733758e+00 1.004232955432587282e+00 1.004201866502219209e+00 
+8.800000000000000000e+01 3.692378326320647219e-01 7.024423564860317049e-01 9.749782935674030648e-01 1.004389402588135471e+00 1.003677516635397504e+00 1.004281803498948022e+00 1.004249954708240411e+00 
+8.900000000000000000e+01 3.661183742151671305e-01 6.984125296983616504e-01 9.739150193268382161e-01 1.004460166908290430e+00 1.003734866370815215e+00 1.004330736223991050e+00 1.004298056056378785e+00 
+9.000000000000000000e+01 3.630478981484609458e-01 6.944156131401311161e-01 9.728288592225028397e-01 1.004530545558272703e+00 1.003792648249999697e+00 1.004379746119605565e+00 1.004346169996104932e+00 
+9.100000000000000000e+01 3.600253976061048022e-01 6.904517779256424959e-01 9.717200795299393290e-01 1.004600472739804795e+00 1.003850840705991621e+00 1.004428867932350755e+00 1.004394347528983156e+00 
+9.200000000000000000e+01 3.570498921271896831e-01 6.865211750975933613e-01 9.705889626273052073e-01 1.004669923603864756e+00 1.003909437897610113e+00 1.004478095219782485e+00 1.004442552623468377e+00 
+9.300000000000000000e+01 3.541204280813552985e-01 6.826239430503600047e-01 9.694358136526203262e-01 1.004738918569009654e+00 1.003968446499446721e+00 1.004527420302602003e+00 1.004490789503184933e+00 
+9.400000000000000000e+01 3.512360790654771581e-01 6.787602154655074660e-01 9.682609223863636316e-01 1.004807418211048908e+00 1.004027841346637695e+00 1.004576830093553141e+00 1.004539075722366226e+00 
+9.500000000000000000e+01 3.483959429020923038e-01 6.749301147420904146e-01 9.670645834219248060e-01 1.004875366230186362e+00 1.004087597440401103e+00 1.004626337662196445e+00 1.004587392907265730e+00 
+9.600000000000000000e+01 3.455991411591293194e-01 6.711337453108131568e-01 9.658471014671250465e-01 1.004942764332526162e+00 1.004147708467473921e+00 1.004675947981009676e+00 1.004635721464091302e+00 
+9.700000000000000000e+01 3.428448243965329101e-01 6.673712189137621653e-01 9.646088014603629857e-01 1.005009612985320100e+00 1.004208158908124870e+00 1.004725649377540275e+00 1.004684065998028508e+00 
+9.800000000000000000e+01 3.401321641194090528e-01 6.636426325031833384e-01 9.633499935302523021e-01 1.005075884164191358e+00 1.004268918098635055e+00 1.004775415530666294e+00 1.004732434955782239e+00 
+9.900000000000000000e+01 3.374603516487831301e-01 6.599480646328624855e-01 9.620709886577302195e-01 1.005141578048115658e+00 1.004329976229176635e+00 1.004825255493670300e+00 1.004780830986461204e+00 
+1.000000000000000000e+02 3.348286069461920422e-01 6.562876062218674367e-01 9.607721213717057562e-01 1.005206708772638402e+00 1.004391326768024673e+00 1.004875188812017317e+00 1.004829262881579810e+00 
+1.010000000000000000e+02 3.322361666223162535e-01 6.526613262135544380e-01 9.594537025380175388e-01 1.005271268703792797e+00 1.004452940273984130e+00 1.004925216659531495e+00 1.004877709112717010e+00 
+1.020000000000000000e+02 3.296822880067462047e-01 6.490692882986476286e-01 9.581160392538584647e-01 1.005335216284006128e+00 1.004514773625898583e+00 1.004975318949785201e+00 1.004926161170959897e+00 
+1.030000000000000000e+02 3.271662519674896630e-01 6.455115579963481842e-01 9.567594677035154982e-01 1.005398584866538103e+00 1.004576822780630430e+00 1.005025496836176035e+00 1.004974633306340293e+00 
+1.040000000000000000e+02 3.246873569187399555e-01 6.419881830208917783e-01 9.553843034920630473e-01 1.005461380391526438e+00 1.004639073813932137e+00 1.005075758802607133e+00 1.005023140078386668e+00 
+1.050000000000000000e+02 3.222449218877308508e-01 6.384992197946307568e-01 9.539908654003048660e-01 1.005523579251524913e+00 1.004701493072083895e+00 1.005126101078163803e+00 1.005071663454883302e+00 
+1.060000000000000000e+02 3.198382823703715960e-01 6.350447064567675826e-01 9.525794581425260921e-01 1.005585158894489739e+00 1.004764048156456369e+00 1.005176510181952754e+00 1.005120179324624718e+00 
+1.070000000000000000e+02 3.174667938427971348e-01 6.316246823719254833e-01 9.511504027826849228e-01 1.005646119531627969e+00 1.004826720665203510e+00 1.005226974037558119e+00 1.005168700390942638e+00 
+1.080000000000000000e+02 3.151298303659842981e-01 6.282391832970122270e-01 9.497040341240782224e-01 1.005706478655902014e+00 1.004889508151317390e+00 1.005277501965371467e+00 1.005217242321538640e+00 
+1.090000000000000000e+02 3.128267833593839642e-01 6.248882375944870837e-01 9.482406626059305399e-01 1.005766237951481568e+00 1.004952401413093277e+00 1.005328094021902485e+00 1.005265806151414809e+00 
+1.100000000000000000e+02 3.105570593831259441e-01 6.215718737021970197e-01 9.467605982799315312e-01 1.005825355963172241e+00 1.005015370418992804e+00 1.005378726519824406e+00 1.005314378894478722e+00 
+1.110000000000000000e+02 3.083200822841257738e-01 6.182901135044744922e-01 9.452641554759781961e-01 1.005883809496745274e+00 1.005078399178753523e+00 1.005429386796368174e+00 1.005362955086582577e+00 
+1.120000000000000000e+02 3.061152929414884261e-01 6.150429772244649929e-01 9.437516559007558259e-01 1.005941598930317538e+00 1.005141487775486731e+00 1.005480082447768542e+00 1.005411534892299841e+00 
+1.130000000000000000e+02 3.039421464042285637e-01 6.118304800876531724e-01 9.422234059115335292e-01 1.005998668846704636e+00 1.005204609934311932e+00 1.005530801432737320e+00 1.005460089156069881e+00 
+1.140000000000000000e+02 3.018001144443360761e-01 6.086526344539665567e-01 9.406797187664145410e-01 1.006055001864788911e+00 1.005267765130088531e+00 1.005581543140758871e+00 1.005508620218107607e+00 
+1.150000000000000000e+02 2.996886850012554504e-01 6.055094551704782724e-01 9.391209177264513430e-01 1.006110589272468214e+00 1.005330961265997081e+00 1.005632300757562714e+00 1.005557153242132129e+00 
+1.160000000000000000e+02 2.976073611740682745e-01 6.024009568587640473e-01 9.375473322993767011e-01 1.006165417691635477e+00 1.005394207722047684e+00 1.005683069543952035e+00 1.005605699167123612e+00 
+1.170000000000000000e+02 2.955556585320977536e-01 5.993271460702230824e-01 9.359592738817895663e-01 1.006219448846099374e+00 1.005457502001409154e+00 1.005733845123435666e+00 1.005654249145316204e+00 
+1.180000000000000000e+02 2.935331045842036191e-01 5.962880271732969861e-01 9.343570446771727322e-01 1.006272610453202487e+00 1.005520823586651513e+00 1.005784604207264010e+00 1.005702772307336401e+00 
+1.190000000000000000e+02 2.915392439390108170e-01 5.932836102147279744e-01 9.327409783936385645e-01 1.006324895668777586e+00 1.005584192118334386e+00 1.005835363239503621e+00 1.005751268945612287e+00 
+1.200000000000000000e+02 2.895736326532215021e-01 5.903139008128528431e-01 9.311113977310776502e-01 1.006376267435021177e+00 1.005647613329748502e+00 1.005886120549448925e+00 1.005799735594246069e+00 
+1.210000000000000000e+02 2.876358415770215449e-01 5.873789120017889331e-01 9.294686369627441769e-01 1.006426687023494360e+00 1.005711093574615189e+00 1.005936882703090118e+00 1.005848158745801912e+00 
+1.220000000000000000e+02 2.857254514365679121e-01 5.844786468281634173e-01 9.278130197222040909e-01 1.006476133164840414e+00 1.005774649031875079e+00 1.005987651757474177e+00 1.005896543466999526e+00 
+1.230000000000000000e+02 2.838420551647274359e-01 5.816131144537902697e-01 9.261448742026536785e-01 1.006524547927391211e+00 1.005838271986962074e+00 1.006038406673964714e+00 1.005944882329971701e+00 
+1.240000000000000000e+02 2.819852599264531245e-01 5.787823320856703146e-01 9.244645512188356395e-01 1.006571902111382366e+00 1.005901973565896945e+00 1.006089144680607506e+00 1.005993177665531535e+00 
+1.250000000000000000e+02 2.801546824271289315e-01 5.759863074410199735e-01 9.227723922966115655e-01 1.006618165487768390e+00 1.005965763459554907e+00 1.006139867423027967e+00 1.006041430709825768e+00 
+1.260000000000000000e+02 2.783499527019531739e-01 5.732250599136589075e-01 9.210687595236199954e-01 1.006663322329136356e+00 1.006029657628388030e+00 1.006190579379046213e+00 1.006089650440713967e+00 
+1.270000000000000000e+02 2.765707102345703605e-01 5.704986020792526258e-01 9.193540119187300075e-01 1.006707349412728547e+00 1.006093667416184667e+00 1.006241291509734070e+00 1.006137842044240394e+00 
+1.280000000000000000e+02 2.748166056277922542e-01 5.678069554875163627e-01 9.176285065325933132e-01 1.006750191781989434e+00 1.006157779825151088e+00 1.006292001583148465e+00 1.006185990326449398e+00 
+1.290000000000000000e+02 2.730873004162174822e-01 5.651501414100563725e-01 9.158926185942651843e-01 1.006791811307234497e+00 1.006221988860910077e+00 1.006342711038140658e+00 1.006234085232230901e+00 
+1.300000000000000000e+02 2.713824675358227911e-01 5.625281855180284118e-01 9.141467428478466939e-01 1.006832199643253656e+00 1.006286305180121632e+00 1.006393437816397229e+00 1.006282131671588642e+00 
+1.310000000000000000e+02 2.697017905512076874e-01 5.599411148203375932e-01 9.123912791220031293e-01 1.006871339266169674e+00 1.006350732723194641e+00 1.006444189734456485e+00 1.006330132407340594e+00 
+1.320000000000000000e+02 2.680449622517528940e-01 5.573889586598039791e-01 9.106266273182181958e-01 1.006909191411650806e+00 1.006415258601969454e+00 1.006494960368945257e+00 1.006378085188229798e+00 
+1.330000000000000000e+02 2.664116862887144777e-01 5.548717483812963813e-01 9.088532035330935122e-01 1.006945738153522507e+00 1.006479879649085252e+00 1.006545758627197307e+00 1.006425995681461849e+00 
+1.340000000000000000e+02 2.648016769328012110e-01 5.523895201956274814e-01 9.070714437774690664e-01 1.006980977699345248e+00 1.006544597353546067e+00 1.006596602041738064e+00 1.006473866882824364e+00 
+1.350000000000000000e+02 2.632146565128419824e-01 5.499423096678942580e-01 9.052817914842149483e-01 1.007014873876809880e+00 1.006609392381851098e+00 1.006647483883428285e+00 1.006521698133879150e+00 
+1.360000000000000000e+02 2.616503580226398618e-01 5.475301593882130335e-01 9.034846957834006265e-01 1.007047377295654744e+00 1.006674235411618490e+00 1.006698395130614765e+00 1.006569492103889907e+00 
+1.370000000000000000e+02 2.601085252934465797e-01 5.451531137102223479e-01 9.016806293147187068e-01 1.007078477798531768e+00 1.006739120364860351e+00 1.006749345051314526e+00 1.006617251567179405e+00 
+1.380000000000000000e+02 2.585889116052310643e-01 5.428112169473758852e-01 8.998700823952265893e-01 1.007108196009395717e+00 1.006804057596874191e+00 1.006800356680996655e+00 1.006665002984366897e+00 
+1.390000000000000000e+02 2.570912787698400037e-01 5.405045177615328544e-01 8.980535512212126648e-01 1.007136506051354630e+00 1.006869026641577847e+00 1.006851437662316329e+00 1.006712741357625118e+00 
+1.400000000000000000e+02 2.556153960647331580e-01 5.382330659344658486e-01 8.962315389240057550e-01 1.007163350346567343e+00 1.006933988070401575e+00 1.006902577343837146e+00 1.006760454072914923e+00 
+1.410000000000000000e+02 2.541610435755959907e-01 5.359969110693448835e-01 8.944045613807576345e-01 1.007188708189298065e+00 1.006998924293365905e+00 1.006953778619417816e+00 1.006808145643012908e+00 
+1.420000000000000000e+02 2.527280114479521500e-01 5.337961102857358142e-01 8.925731646753000126e-01 1.007212574521235915e+00 1.007063827580919391e+00 1.007005040988586675e+00 1.006855836412716032e+00 
+1.430000000000000000e+02 2.513160982849880209e-01 5.316307211922799425e-01 8.907379014856516841e-01 1.007234935999640202e+00 1.007128686911502147e+00 1.007056368650063760e+00 1.006903541462484730e+00 
+1.440000000000000000e+02 2.499251121097374462e-01 5.295008053298214667e-01 8.888993400307911852e-01 1.007255788508243821e+00 1.007193497486205791e+00 1.007107766791017545e+00 1.006951281697760603e+00 
+1.450000000000000000e+02 2.485548658294819691e-01 5.274064121166017749e-01 8.870580392350335686e-01 1.007275100200714091e+00 1.007258236378667293e+00 1.007159234846545015e+00 1.006999050119556038e+00 
+1.460000000000000000e+02 2.472051844863349390e-01 5.253476130444393322e-01 8.852145876113882705e-01 1.007292815359936533e+00 1.007322871256396191e+00 1.007210760550864670e+00 1.007046848562840324e+00 
+1.470000000000000000e+02 2.458758991147280137e-01 5.233244649780101065e-01 8.833695649329171840e-01 1.007308904863949417e+00 1.007387385495409182e+00 1.007262342210393902e+00 1.007094684516719019e+00 
+1.480000000000000000e+02 2.445668496770898870e-01 5.213370274237485447e-01 8.815235760974596824e-01 1.007323350514829574e+00 1.007451770224940812e+00 1.007313978517108133e+00 1.007142565578777571e+00 
+1.490000000000000000e+02 2.432778859334759070e-01 5.193853649515454141e-01 8.796772371798616819e-01 1.007336136986588304e+00 1.007516024939876020e+00 1.007365681717307782e+00 1.007190499255020244e+00 
+1.500000000000000000e+02 2.420088642889747510e-01 5.174695368967223708e-01 8.778311569952337301e-01 1.007347248432929332e+00 1.007580149618754861e+00 1.007417456522144317e+00 1.007238494253239969e+00 
+1.510000000000000000e+02 2.407596509408004570e-01 5.155896105914150596e-01 8.759859586752608562e-01 1.007356663901686211e+00 1.007644143507232970e+00 1.007469302150961754e+00 1.007286559146696403e+00 
+1.520000000000000000e+02 2.395301164055392007e-01 5.137456418243840917e-01 8.741422518470586267e-01 1.007364326040685043e+00 1.007707985792414718e+00 1.007521199211525831e+00 1.007334691613311017e+00 
+1.530000000000000000e+02 2.383201401885684523e-01 5.119376865061953108e-01 8.723006556954101542e-01 1.007370197880266716e+00 1.007771671507481814e+00 1.007573141359832558e+00 1.007382892114863537e+00 
+1.540000000000000000e+02 2.371296096408445631e-01 5.101657980927754021e-01 8.704617900701218103e-01 1.007374249722678305e+00 1.007835205858488514e+00 1.007625133141208273e+00 1.007431170923952957e+00 
+1.550000000000000000e+02 2.359584185958696345e-01 5.084300236071200851e-01 8.686262641997848366e-01 1.007376465329930637e+00 1.007898597938091445e+00 1.007677174034066203e+00 1.007479529988836608e+00 
+1.560000000000000000e+02 2.348064730528894584e-01 5.067304275338148090e-01 8.667947138648574024e-01 1.007376794499062145e+00 1.007961843108757138e+00 1.007729256466903145e+00 1.007527963189598585e+00 
+1.570000000000000000e+02 2.336736784212005702e-01 5.050670392737512948e-01 8.649677182462817138e-01 1.007375164660615718e+00 1.008024926778530839e+00 1.007781363270312092e+00 1.007576462252508298e+00 
+1.580000000000000000e+02 2.325599504970996545e-01 5.034398914306815742e-01 8.631458702830580032e-01 1.007371549104859376e+00 1.008087863808105888e+00 1.007833507725993227e+00 1.007625037256268952e+00 
+1.590000000000000000e+02 2.314652132009677454e-01 5.018490166331014413e-01 8.613297666448410661e-01 1.007365924818515390e+00 1.008150675903712212e+00 1.007885700446119026e+00 1.007673693291425199e+00 
+1.600000000000000000e+02 2.303893968205592835e-01 5.002944392727904921e-01 8.595199846885778205e-01 1.007358253203341603e+00 1.008213374043075872e+00 1.007937942988855751e+00 1.007722428291559336e+00 
+1.610000000000000000e+02 2.293324386243431046e-01 4.987761787380615708e-01 8.577170913321620072e-01 1.007348472264260719e+00 1.008275961240459484e+00 1.007990219339177207e+00 1.007771249673541147e+00 
+1.620000000000000000e+02 2.282942793711528473e-01 4.972942342606009314e-01 8.559216157133084923e-01 1.007336500815439129e+00 1.008338427360766509e+00 1.008042507786823361e+00 1.007820154515147060e+00 
+1.630000000000000000e+02 2.272748675108713923e-01 4.958486003123992458e-01 8.541340962520663771e-01 1.007322296661008476e+00 1.008400790375724831e+00 1.008094803814101326e+00 1.007869150054334639e+00 
+1.640000000000000000e+02 2.262741605104311160e-01 4.944392621744271854e-01 8.523550574882178266e-01 1.007305874001980239e+00 1.008463107758237109e+00 1.008147141422468529e+00 1.007918267936064538e+00 
+1.650000000000000000e+02 2.252921196105980017e-01 4.930662001202281153e-01 8.505850033069987104e-01 1.007287139579157831e+00 1.008525366790452793e+00 1.008199508911327813e+00 1.007967488388139321e+00 
+1.660000000000000000e+02 2.243287083129870685e-01 4.917293678054038830e-01 8.488243890850634132e-01 1.007265951614728650e+00 1.008587526964060066e+00 1.008251872407036620e+00 1.008016767420319537e+00 
+1.670000000000000000e+02 2.233838967730574221e-01 4.904287021008194025e-01 8.470736552402247099e-01 1.007242228707628140e+00 1.008649592745240575e+00 1.008304244988347698e+00 1.008066096454433236e+00 
+1.680000000000000000e+02 2.224576648117886357e-01 4.891641365047744716e-01 8.453332494214409465e-01 1.007215947153559332e+00 1.008711608077555555e+00 1.008356659551564505e+00 1.008115493259251982e+00 
+1.690000000000000000e+02 2.215499960575856575e-01 4.879355880213649965e-01 8.436035918974306158e-01 1.007187047464903173e+00 1.008773594925392203e+00 1.008409133052275308e+00 1.008164953705030564e+00 
+1.700000000000000000e+02 2.206608785937174688e-01 4.867429587708372307e-01 8.418850772685835260e-01 1.007155429291570314e+00 1.008835553859175338e+00 1.008461665094777748e+00 1.008214479948027043e+00 
+1.710000000000000000e+02 2.197903044006117579e-01 4.855861255664778997e-01 8.401780689459465989e-01 1.007121009634098341e+00 1.008897499215107185e+00 1.008514261102624765e+00 1.008264080707962140e+00 
+1.720000000000000000e+02 2.189382704879942465e-01 4.844649513979423228e-01 8.384829160554444494e-01 1.007083688089165152e+00 1.008959438603959313e+00 1.008566910601152333e+00 1.008313763873606606e+00 
+1.730000000000000000e+02 2.181047765907390967e-01 4.833792740003049482e-01 8.367999329384286922e-01 1.007043339888413103e+00 1.009021367470275266e+00 1.008619609612101620e+00 1.008363523623423408e+00 
+1.740000000000000000e+02 2.172898281652385355e-01 4.823289191963412437e-01 8.351294205347431499e-01 1.006999841062911516e+00 1.009083284338722519e+00 1.008672356247157120e+00 1.008413352220134396e+00 
+1.750000000000000000e+02 2.164934333962600099e-01 4.813136833874713250e-01 8.334716497646957878e-01 1.006953070788207505e+00 1.009145196354093166e+00 1.008725151197409575e+00 1.008463250498110364e+00 
+1.760000000000000000e+02 2.157156030537100977e-01 4.803333425561452374e-01 8.318268650262174990e-01 1.006902867268663959e+00 1.009207087013379800e+00 1.008777974154082102e+00 1.008513199790975978e+00 
+1.770000000000000000e+02 2.149563540698609387e-01 4.793876576648410381e-01 8.301953039466266615e-01 1.006849095323786081e+00 1.009268969876211841e+00 1.008830843676656430e+00 1.008563203371036110e+00 
+1.780000000000000000e+02 2.142157034066781429e-01 4.784763481424726961e-01 8.285771658730026745e-01 1.006791649473260275e+00 1.009330879685193860e+00 1.008883784370151027e+00 1.008613279899205795e+00 
+1.790000000000000000e+02 2.134936755812137654e-01 4.775991437042905741e-01 8.269726595885936726e-01 1.006730351999126194e+00 1.009392810452836908e+00 1.008936789134349032e+00 1.008663425133122349e+00 
+1.800000000000000000e+02 2.127902925437165360e-01 4.767557268055477859e-01 8.253819384042584417e-01 1.006664997197134426e+00 1.009454747915088824e+00 1.008989851055151821e+00 1.008713646916491902e+00 
+1.810000000000000000e+02 2.121055793831732039e-01 4.759457584292972054e-01 8.238051458175386088e-01 1.006595390829356562e+00 1.009516689702319558e+00 1.009042974333283160e+00 1.008763942351701859e+00 
+1.820000000000000000e+02 2.114395608156325046e-01 4.751688629423063137e-01 8.222423965730804030e-01 1.006521347475006101e+00 1.009578653564980666e+00 1.009096179820259120e+00 1.008814319820883210e+00 
+1.830000000000000000e+02 2.107922695501446009e-01 4.744246689489955982e-01 8.206938138919036563e-01 1.006442690184295330e+00 1.009640661963735697e+00 1.009149467427992608e+00 1.008864776964225829e+00 
+1.840000000000000000e+02 2.101637331601793335e-01 4.737127633238026325e-01 8.191594854355703781e-01 1.006359164134866813e+00 1.009702711556274890e+00 1.009202834153481998e+00 1.008915338665043571e+00 
+1.850000000000000000e+02 2.095539792035482907e-01 4.730327024727163376e-01 8.176394582004543610e-01 1.006270452678314609e+00 1.009764767315222356e+00 1.009256260536266270e+00 1.008965978313118628e+00 
+1.860000000000000000e+02 2.089630418405409307e-01 4.723840444636002167e-01 8.161338020304688134e-01 1.006176308523343277e+00 1.009826844002075008e+00 1.009309752632337354e+00 1.009016677115908589e+00 
+1.870000000000000000e+02 2.083909523445073575e-01 4.717663068703212836e-01 8.146425667629764167e-01 1.006076469119734362e+00 1.009888967446795904e+00 1.009363327335076610e+00 1.009067471035428154e+00 
+1.880000000000000000e+02 2.078377383376787124e-01 4.711789766500494303e-01 8.131657582995500677e-01 1.005970589636522305e+00 1.009951130491834714e+00 1.009416984782852911e+00 1.009118365628938863e+00 
+1.890000000000000000e+02 2.073034309975902711e-01 4.706215343640641757e-01 8.117033894679860362e-01 1.005858362582186638e+00 1.010013353924605894e+00 1.009470737661354089e+00 1.009169347592385524e+00 
+1.900000000000000000e+02 2.067880574867747290e-01 4.700934223977770721e-01 8.102554536662630591e-01 1.005739465937498300e+00 1.010075667529463095e+00 1.009524611932165028e+00 1.009220416799740061e+00 
+1.910000000000000000e+02 2.062916480765050187e-01 4.695941007084583063e-01 8.088219471061858235e-01 1.005613447742423450e+00 1.010138038389307269e+00 1.009578605073637059e+00 1.009271557796594276e+00 
+1.920000000000000000e+02 2.058142240736786643e-01 4.691229739644108276e-01 8.074028219316959909e-01 1.005479828796419950e+00 1.010200433699783629e+00 1.009632681079507543e+00 1.009322756387563524e+00 
+1.930000000000000000e+02 2.053558079116938606e-01 4.686794339505078177e-01 8.059980391139321965e-01 1.005338195987393712e+00 1.010262891125621509e+00 1.009686858173965529e+00 1.009374064194874299e+00 
+1.940000000000000000e+02 2.049164196739135246e-01 4.682628572662023148e-01 8.046075490063067104e-01 1.005188095654456770e+00 1.010325443982976301e+00 1.009741145698929143e+00 1.009425494848412264e+00 
+1.950000000000000000e+02 2.044960722171252909e-01 4.678726035264567096e-01 8.032312856750907226e-01 1.005028957234439746e+00 1.010388067618502195e+00 1.009795518356687793e+00 1.009477021436335775e+00 
+1.960000000000000000e+02 2.040947898675788685e-01 4.675080596013354572e-01 8.018692091784946907e-01 1.004860302781605208e+00 1.010450831797270466e+00 1.009850022075662990e+00 1.009528675209743875e+00 
+1.970000000000000000e+02 2.037125797181966180e-01 4.671685544798648282e-01 8.005212372985340830e-01 1.004681495918320788e+00 1.010513730036386670e+00 1.009904662112625084e+00 1.009580447676710513e+00 
+1.980000000000000000e+02 2.033494380846130878e-01 4.668533998958851461e-01 7.991872492151192997e-01 1.004491729449493942e+00 1.010576674525903274e+00 1.009959369898086878e+00 1.009632302085104349e+00 
+1.990000000000000000e+02 2.030053667895805047e-01 4.665619219527736283e-01 7.978671582345382429e-01 1.004290294759733415e+00 1.010639674529184573e+00 1.010014131806211690e+00 1.009684294287066297e+00 
+2.000000000000000000e+02 2.026803676016283862e-01 4.662934456474126521e-01 7.965608984766707756e-01 1.004076570460922690e+00 1.010702841964754795e+00 1.010069030098941667e+00 1.009736488901555429e+00 
+2.010000000000000000e+02 2.023744291300697828e-01 4.660472678983926254e-01 7.952683621465077568e-01 1.003849788698784051e+00 1.010766233355312238e+00 1.010124100845606776e+00 1.009788899946417740e+00 
+2.020000000000000000e+02 2.020875384290772570e-01 4.658227152164252094e-01 7.939894437751772172e-01 1.003608883821312192e+00 1.010829738178829373e+00 1.010179290220554416e+00 1.009841460962873194e+00 
+2.030000000000000000e+02 2.018196657374673464e-01 4.656190655927597843e-01 7.927239937530422553e-01 1.003352768634004244e+00 1.010893292850291836e+00 1.010234568135389477e+00 1.009894130911433985e+00 
+2.040000000000000000e+02 2.015707837183255968e-01 4.654356170159697492e-01 7.914719024224152744e-01 1.003080469377644945e+00 1.010956951846793794e+00 1.010289968241549596e+00 1.009946934697685705e+00 
+2.050000000000000000e+02 2.013408619616957607e-01 4.652716793262676731e-01 7.902330637281695935e-01 1.002790956607863881e+00 1.011020789160562039e+00 1.010345533162541942e+00 1.009999896361799543e+00 
+2.060000000000000000e+02 2.011298571782562383e-01 4.651265550544049776e-01 7.890073534616148798e-01 1.002483020374268508e+00 1.011084799332221618e+00 1.010401269892103437e+00 1.010052993967619051e+00 
+2.070000000000000000e+02 2.009377216122057996e-01 4.649995619790805446e-01 7.877946454440017954e-01 1.002155282475803100e+00 1.011148946668427584e+00 1.010457186392358597e+00 1.010106183442070815e+00 
+2.080000000000000000e+02 2.007643951293848483e-01 4.648900030574869557e-01 7.865947904037547955e-01 1.001806271357062350e+00 1.011213210612459168e+00 1.010513274952310026e+00 1.010159460650899232e+00 
+2.090000000000000000e+02 2.006098123051927307e-01 4.647971953790633881e-01 7.854076567613237359e-01 1.001434489786416915e+00 1.011277606721146194e+00 1.010569545201244201e+00 1.010212867129534953e+00 
+2.100000000000000000e+02 2.004739058441096788e-01 4.647204802249966793e-01 7.842331345552571165e-01 1.001038397571128558e+00 1.011342185374414449e+00 1.010626024358645125e+00 1.010266453182804058e+00 
+2.110000000000000000e+02 2.003565973288155555e-01 4.646591990012797213e-01 7.830710947314517556e-01 1.000616265263254867e+00 1.011406965320540419e+00 1.010682738896575339e+00 1.010320232340919278e+00 
+2.120000000000000000e+02 2.002577959225584903e-01 4.646126933538410331e-01 7.819213936547446675e-01 1.000166230311138049e+00 1.011471945670609385e+00 1.010739691953068675e+00 1.010374211117273102e+00 
+2.130000000000000000e+02 2.001774028014283446e-01 4.645803215346741011e-01 7.807838905515621652e-01 9.996863142998277940e-01 1.011537123741111932e+00 1.010796884473868174e+00 1.010428395021313763e+00 
+2.140000000000000000e+02 2.001153098764675287e-01 4.645614627364685889e-01 7.796584479738126738e-01 9.991743762937360662e-01 1.011602453587002293e+00 1.010854253667807567e+00 1.010482779770024209e+00 
+2.150000000000000000e+02 2.000714003944155384e-01 4.645555088532600241e-01 7.785449301470072081e-01 9.986281669734040634e-01 1.011667897322724663e+00 1.010911768229118435e+00 1.010537323937160004e+00 
+2.160000000000000000e+02 2.000455492846780203e-01 4.645618544518144710e-01 7.774431924102988001e-01 9.980453431314199042e-01 1.011733454035829594e+00 1.010969449844731471e+00 1.010592037793655917e+00 
+2.170000000000000000e+02 2.000376228528057410e-01 4.645799132922219798e-01 7.763530969138155990e-01 9.974234826819518007e-01 1.011799143706110904e+00 1.011027347711004776e+00 1.010646957805810153e+00 
+2.180000000000000000e+02 2.000474809655953257e-01 4.646091239123538719e-01 7.752745148212262238e-01 9.967600877702134099e-01 1.011864984221717778e+00 1.011085513847321371e+00 1.010702091914446488e+00 
+2.190000000000000000e+02 2.000749703944826319e-01 4.646489269395023824e-01 7.742073042598875965e-01 9.960525674244194994e-01 1.011930987537532411e+00 1.011143995045841626e+00 1.010757396030988797e+00 
+2.200000000000000000e+02 2.001199351080137634e-01 4.646988180813170222e-01 7.731513542192856026e-01 9.952982356610063919e-01 1.011997135056994290e+00 1.011202769557436376e+00 1.010812907061089172e+00 
+2.210000000000000000e+02 2.001821987520147894e-01 4.647582606308846009e-01 7.721065076741494559e-01 9.944943277929695347e-01 1.012063410945102992e+00 1.011261848356070470e+00 1.010868587106879879e+00 
+2.220000000000000000e+02 2.002615769383019884e-01 4.648267483962236213e-01 7.710726222523305307e-01 9.936381230358192207e-01 1.012129762423956247e+00 1.011321174118248845e+00 1.010924435027021007e+00 
+2.230000000000000000e+02 2.003578789035512786e-01 4.649037983388469852e-01 7.700495625184103909e-01 9.927269786194472534e-01 1.012196166308972689e+00 1.011380679315645903e+00 1.010980502712614859e+00 
+2.240000000000000000e+02 2.004709155497135797e-01 4.649889662378190458e-01 7.690372240176734930e-01 9.917585250886922221e-01 1.012262715795757995e+00 1.011440373387203051e+00 1.011036927501494320e+00 
+2.250000000000000000e+02 2.006004777268056427e-01 4.650817984261217397e-01 7.680354750748803472e-01 9.907304062468923478e-01 1.012329379351323055e+00 1.011500291426834286e+00 1.011093673279726213e+00 
+2.260000000000000000e+02 2.007463426090610181e-01 4.651818553262738742e-01 7.670441689754194936e-01 9.896403834467677463e-01 1.012396069820434841e+00 1.011560400227296652e+00 1.011150640118105182e+00 
+2.270000000000000000e+02 2.009082834064099266e-01 4.652887230068381008e-01 7.660631762186478344e-01 9.884867252156767092e-01 1.012462789882982550e+00 1.011620722631794145e+00 1.011207871050593177e+00 
+2.280000000000000000e+02 2.010860767137379601e-01 4.654020494217122050e-01 7.650923915447516155e-01 9.872680789288048597e-01 1.012529457815147138e+00 1.011681232797903451e+00 1.011265361757875514e+00 
+2.290000000000000000e+02 2.012794715400984535e-01 4.655214322806977001e-01 7.641316748364795908e-01 9.859836802697561353e-01 1.012596088250365289e+00 1.011741969034220867e+00 1.011323101540695157e+00 
+2.300000000000000000e+02 2.014882072122700096e-01 4.656464784499117493e-01 7.631808902308466758e-01 9.846334144011726908e-01 1.012662687190409638e+00 1.011802970955766101e+00 1.011381059897827894e+00 
+2.310000000000000000e+02 2.017120363833364016e-01 4.657768819569776397e-01 7.622399378681062876e-01 9.832177606616568921e-01 1.012729183598790828e+00 1.011864200842296224e+00 1.011439189522448601e+00 
+2.320000000000000000e+02 2.019506878206151212e-01 4.659123051823533257e-01 7.613086837841216425e-01 9.817379642355725800e-01 1.012795539567632019e+00 1.011925632544924403e+00 1.011497506689402970e+00 
+2.330000000000000000e+02 2.022038798041506380e-01 4.660524320234567530e-01 7.603869944755170529e-01 9.801960842408138364e-01 1.012861641149460645e+00 1.011987243998084596e+00 1.011555971613122162e+00 
+2.340000000000000000e+02 2.024713176707638174e-01 4.661969333064916454e-01 7.594747338016850646e-01 9.785951240647708937e-01 1.012927448172195044e+00 1.012048984546189523e+00 1.011614641682947680e+00 
+2.350000000000000000e+02 2.027527297679950491e-01 4.663455637031957979e-01 7.585718217041688138e-01 9.769391589951409438e-01 1.012993014784678847e+00 1.012110812091430612e+00 1.011673509191956866e+00 
+2.360000000000000000e+02 2.030478192906789991e-01 4.664980509366539740e-01 7.576781428200652924e-01 9.752328641308170010e-01 1.013058287079890318e+00 1.012172743990680468e+00 1.011732553331779361e+00 
+2.370000000000000000e+02 2.033562742786940436e-01 4.666541300020137228e-01 7.567935659627054168e-01 9.734815336340313374e-01 1.013123083996947837e+00 1.012234789865950280e+00 1.011791659992965942e+00 
+2.380000000000000000e+02 2.036777795019391046e-01 4.668135452164555721e-01 7.559179644249672814e-01 9.716912244784152719e-01 1.013187303081868551e+00 1.012296802247099725e+00 1.011850847598395386e+00 
+2.390000000000000000e+02 2.040120249385289908e-01 4.669760659979232953e-01 7.550512424701676384e-01 9.698687585925328536e-01 1.013251020458159068e+00 1.012358795234602260e+00 1.011910208898337604e+00 
+2.400000000000000000e+02 2.043587025571526050e-01 4.671414992315698345e-01 7.541933145574156727e-01 9.680212005033045353e-01 1.013314208136380623e+00 1.012420805860726469e+00 1.011969648553204149e+00 
+2.410000000000000000e+02 2.047174741966095446e-01 4.673096185578731743e-01 7.533440410573243318e-01 9.661554542445445204e-01 1.013376632663338883e+00 1.012482715454891435e+00 1.012028979685464902e+00 
+2.420000000000000000e+02 2.050880050642381325e-01 4.674802217991206876e-01 7.525033016230616711e-01 9.642785297929072907e-01 1.013438144643419969e+00 1.012544367973519099e+00 1.012088124806766798e+00 
+2.430000000000000000e+02 2.054699673406998606e-01 4.676531297225237638e-01 7.516710053004469483e-01 9.623974004627640078e-01 1.013498774777379152e+00 1.012605781147868589e+00 1.012147095418544751e+00 
+2.440000000000000000e+02 2.058630202300054668e-01 4.678281571152894114e-01 7.508470420602183504e-01 9.605185146490778925e-01 1.013558459833293179e+00 1.012666971324911236e+00 1.012205834986029451e+00 
+2.450000000000000000e+02 2.062668226485352418e-01 4.680051351644234359e-01 7.500313074276812042e-01 9.586478089545589221e-01 1.013617175370020496e+00 1.012727787151024961e+00 1.012264339933530266e+00 
+2.460000000000000000e+02 2.066810316891367627e-01 4.681839091485083815e-01 7.492237003219905933e-01 9.567905393817792703e-01 1.013674875769330130e+00 1.012788063913843795e+00 1.012322573748317689e+00 
+2.470000000000000000e+02 2.071052971058272296e-01 4.683643262454603717e-01 7.484241071429170722e-01 9.549511359902396190e-01 1.013731426549335790e+00 1.012847603589476231e+00 1.012380489765827507e+00 
+2.480000000000000000e+02 2.075392728454734104e-01 4.685462471199798862e-01 7.476324316527606095e-01 9.531334056580289538e-01 1.013786822273038180e+00 1.012906388948148662e+00 1.012438030219981133e+00 
+2.490000000000000000e+02 2.079826074610829079e-01 4.687295314553852621e-01 7.468485735701458905e-01 9.513404133266843976e-01 1.013841064395711644e+00 1.012964419016500806e+00 1.012495079984655488e+00 
+2.500000000000000000e+02 2.084349477978582055e-01 4.689140465239923228e-01 7.460724314317039862e-01 9.495745195639624381e-01 1.013894173053811132e+00 1.013021752350549365e+00 1.012551562482798095e+00 
+2.510000000000000000e+02 2.088959456447432028e-01 4.690996774905453748e-01 7.453039130301059023e-01 9.478375105288618929e-01 1.013946172729677464e+00 1.013078335390930285e+00 1.012607405259612126e+00 
+2.520000000000000000e+02 2.093652487954457964e-01 4.692863129698943148e-01 7.445429202532429791e-01 9.461306139693497208e-01 1.013997079515037480e+00 1.013134136170531274e+00 1.012662528620952296e+00 
+2.530000000000000000e+02 2.098425041773866184e-01 4.694738401226685731e-01 7.437893571820612948e-01 9.444546631714398899e-01 1.014046974639543963e+00 1.013189098639750041e+00 1.012716873003526974e+00 
+2.540000000000000000e+02 2.103273572160036520e-01 4.696621501236173390e-01 7.430431282339235999e-01 9.428101561031193567e-01 1.014095969149491294e+00 1.013243201176780683e+00 1.012770437767446463e+00 
+2.550000000000000000e+02 2.108194602408808571e-01 4.698511504548528173e-01 7.423041446321448911e-01 9.411973244424522989e-01 1.014144164117990021e+00 1.013296531600495820e+00 1.012823233204937390e+00 
+2.560000000000000000e+02 2.113184635223059327e-01 4.700407471596674824e-01 7.415723149739973374e-01 9.396161993721766637e-01 1.014191676075003157e+00 1.013348961671971526e+00 1.012875290006052920e+00 
+2.570000000000000000e+02 2.118240170297705505e-01 4.702308478651908707e-01 7.408475455147759403e-01 9.380666158347905625e-01 1.014238598268476066e+00 1.013400488296151591e+00 1.012926509357196636e+00 
+2.580000000000000000e+02 2.123357868846732222e-01 4.704213846384829312e-01 7.401297687035000017e-01 9.365484100056461481e-01 1.014285173461997758e+00 1.013451198680177301e+00 1.012976930847213186e+00 
+2.590000000000000000e+02 2.128534353105634436e-01 4.706122794124367181e-01 7.394189148055417826e-01 9.350612934039351787e-01 1.014331688053213165e+00 1.013501265892881698e+00 1.013026678126776714e+00 
+2.600000000000000000e+02 2.133766277590016802e-01 4.708034643187360424e-01 7.387149078059529472e-01 9.336047604776972486e-01 1.014378273968214561e+00 1.013550769642972638e+00 1.013075867800287799e+00 
+2.610000000000000000e+02 2.139050269710106034e-01 4.709948653713962874e-01 7.380176652830313655e-01 9.321781654821746921e-01 1.014425069112565803e+00 1.013599798473463709e+00 1.013124536347421056e+00 
+2.620000000000000000e+02 2.144383065611488171e-01 4.711864243355498028e-01 7.373271174885710488e-01 9.307807868853518185e-01 1.014472211765378828e+00 1.013648488526668112e+00 1.013172673888282027e+00 
+2.630000000000000000e+02 2.149761424519706365e-01 4.713780820583809983e-01 7.366431963690185380e-01 9.294117932425493001e-01 1.014519876626577055e+00 1.013696817666160932e+00 1.013220397021308727e+00 
+2.640000000000000000e+02 2.155182142259996492e-01 4.715697801424365565e-01 7.359658366615675629e-01 9.280702674401792862e-01 1.014568273010922006e+00 1.013744927045299837e+00 1.013267820370802763e+00 
+2.650000000000000000e+02 2.160642040145047404e-01 4.717614605325904376e-01 7.352949717467757162e-01 9.267551993398676080e-01 1.014617548083088350e+00 1.013792899133596270e+00 1.013314915965026985e+00 
+2.660000000000000000e+02 2.166138034750415553e-01 4.719530769568071049e-01 7.346305416428579038e-01 9.254655246841565486e-01 1.014667848994599719e+00 1.013840927125004177e+00 1.013361823514666638e+00 
+2.670000000000000000e+02 2.171667117554920978e-01 4.721445885410630594e-01 7.339724942505407856e-01 9.242002101475073061e-01 1.014719361604645043e+00 1.013889214677678563e+00 1.013408642636798751e+00 
+2.680000000000000000e+02 2.177226288155644507e-01 4.723359511427328017e-01 7.333207699292942916e-01 9.229581806485478435e-01 1.014772203522123828e+00 1.013937845848923214e+00 1.013455342057447695e+00 
+2.690000000000000000e+02 2.182812541518921179e-01 4.725271175871110230e-01 7.326753010138730149e-01 9.217383277002969555e-01 1.014826334788467399e+00 1.013986746880569667e+00 1.013501978735724007e+00 
+2.700000000000000000e+02 2.188422926745847430e-01 4.727180383444339884e-01 7.320360239506057409e-01 9.205396427602330345e-01 1.014881792613812506e+00 1.014035907217882615e+00 1.013548657034800682e+00 
+2.710000000000000000e+02 2.194054603287021454e-01 4.729086754345875332e-01 7.314028866253499128e-01 9.193612683884377912e-01 1.014938677930466993e+00 1.014085430994217329e+00 1.013595468258130072e+00 
+2.720000000000000000e+02 2.199704812692923617e-01 4.730989930362303753e-01 7.307758414708251937e-01 9.182024538127144808e-01 1.014997100949163178e+00 1.014135516037050655e+00 1.013642497427764466e+00 
+2.730000000000000000e+02 2.205370859780725612e-01 4.732889614310107351e-01 7.301548384162338534e-01 9.170625047932344787e-01 1.015057076795378155e+00 1.014186121176616551e+00 1.013689919166289366e+00 
+2.740000000000000000e+02 2.211050060225771274e-01 4.734785456319033359e-01 7.295398234950024596e-01 9.159407796668374013e-01 1.015118605204691660e+00 1.014237392090604484e+00 1.013737653993817212e+00 
+2.750000000000000000e+02 2.216739656474826237e-01 4.736676942993275907e-01 7.289307257125007267e-01 9.148366249553530061e-01 1.015181577443620586e+00 1.014289309569710751e+00 1.013785634757740972e+00 
+2.760000000000000000e+02 2.222437078395861354e-01 4.738563775585347138e-01 7.283274814012807852e-01 9.137494482637079640e-01 1.015245851710628200e+00 1.014341819289086510e+00 1.013833883496917609e+00 
+2.770000000000000000e+02 2.228139904597630783e-01 4.740445740601765823e-01 7.277300495537025737e-01 9.126788112862190827e-01 1.015311481505922542e+00 1.014395067026109043e+00 1.013882586931082130e+00 
+2.780000000000000000e+02 2.233845679105169180e-01 4.742322379223001261e-01 7.271384026696821046e-01 9.116244383234294313e-01 1.015378858621344360e+00 1.014449408587870360e+00 1.013932058793233892e+00 
+2.790000000000000000e+02 2.239552120127689949e-01 4.744193519057050556e-01 7.265525061778882465e-01 9.105858924883245553e-01 1.015447998851141342e+00 1.014504936603349172e+00 1.013982183583401309e+00 
+2.800000000000000000e+02 2.245256978055754082e-01 4.746059072923589639e-01 7.259722897268713337e-01 9.095624639686987756e-01 1.015518471976270432e+00 1.014561452314349133e+00 1.014032748688038499e+00 
+2.810000000000000000e+02 2.250957916546140192e-01 4.747918725062520440e-01 7.253976770486936232e-01 9.085534824748918714e-01 1.015589941003092633e+00 1.014618819990636966e+00 1.014083666852166443e+00 
+2.820000000000000000e+02 2.256652443576041556e-01 4.749771787693067848e-01 7.248285967896886950e-01 9.075583941030566093e-01 1.015662377314147991e+00 1.014677050172129613e+00 1.014134940969420473e+00 
+2.830000000000000000e+02 2.262338395442484718e-01 4.751617886197432306e-01 7.242650083229567048e-01 9.065767773761674864e-01 1.015735942936792258e+00 1.014736238547581992e+00 1.014186721100253541e+00 
+2.840000000000000000e+02 2.268013969376811156e-01 4.753457038027303350e-01 7.237068941670764533e-01 9.056082391524290509e-01 1.015810742478611584e+00 1.014796493423498536e+00 1.014239078266235383e+00 
+2.850000000000000000e+02 2.273677434007319864e-01 4.755289302967271037e-01 7.231542382294672278e-01 9.046523799796271081e-01 1.015886850627922167e+00 1.014858007367519521e+00 1.014292009651974746e+00 
+2.860000000000000000e+02 2.279326805075439777e-01 4.757114404951107711e-01 7.226069846521271378e-01 9.037086687904034576e-01 1.015964056379887515e+00 1.014920669994848312e+00 1.014345651023956574e+00 
+2.870000000000000000e+02 2.284959977998895220e-01 4.758931898065429933e-01 7.220650475180531158e-01 9.027765057479617550e-01 1.016042020884206698e+00 1.014984230888722250e+00 1.014400010745364122e+00 
+2.880000000000000000e+02 2.290575062020246411e-01 4.760741455394257859e-01 7.215283675558602505e-01 9.018554814380608242e-01 1.016120624127046623e+00 1.015048489283735922e+00 1.014455162824493772e+00 
+2.890000000000000000e+02 2.296170283227605413e-01 4.762542768393133175e-01 7.209969080447047318e-01 9.009453625280335887e-01 1.016200082756570922e+00 1.015113773370086570e+00 1.014511035911701553e+00 
+2.900000000000000000e+02 2.301744122640533852e-01 4.764335776291200863e-01 7.204706416794481871e-01 9.000459298940655106e-01 1.016280400915818172e+00 1.015180161087620325e+00 1.014567605643555082e+00 
+2.910000000000000000e+02 2.307295315725529095e-01 4.766120749460940886e-01 7.199495430942101093e-01 8.991568842159513020e-01 1.016361293613685213e+00 1.015247517193682336e+00 1.014624729343342580e+00 
+2.920000000000000000e+02 2.312822000550617541e-01 4.767897094776539779e-01 7.194335369881621478e-01 8.982778980572059258e-01 1.016442657312918607e+00 1.015315917569644455e+00 1.014682568308881372e+00 
+2.930000000000000000e+02 2.318322561703370643e-01 4.769664442194357923e-01 7.189225714019880087e-01 8.974087765970357733e-01 1.016524576338250885e+00 1.015385157419600226e+00 1.014741328706243895e+00 
+2.940000000000000000e+02 2.323795676289611978e-01 4.771422701548442280e-01 7.184166068382511483e-01 8.965493234607634365e-01 1.016607007583554712e+00 1.015455354016055356e+00 1.014800953010348783e+00 
+2.950000000000000000e+02 2.329240001268626514e-01 4.773171710699565251e-01 7.179155921873464630e-01 8.956992704175650299e-01 1.016689728127325720e+00 1.015526455014158946e+00 1.014861360681950320e+00 
+2.960000000000000000e+02 2.334654378334795333e-01 4.774911447294102329e-01 7.174194926952851548e-01 8.948584106650594450e-01 1.016772714354528873e+00 1.015598591164483144e+00 1.014922608697446993e+00 
+2.970000000000000000e+02 2.340037489682480210e-01 4.776641623030723482e-01 7.169282566199772777e-01 8.940265067624468820e-01 1.016855970543141030e+00 1.015671878225353320e+00 1.014984731263035345e+00 
+2.980000000000000000e+02 2.345388076163090474e-01 4.778361951237095617e-01 7.164418314270255550e-01 8.932033051035613846e-01 1.016939375396343825e+00 1.015746206251949779e+00 1.015047614736386716e+00 
+2.990000000000000000e+02 2.350705111330383679e-01 4.780072351585700763e-01 7.159601819248014865e-01 8.923885906705121274e-01 1.017022934458278405e+00 1.015821463185240914e+00 1.015111266085656938e+00 
+3.000000000000000000e+02 2.355987594289075948e-01 4.781772721672997717e-01 7.154832678447744509e-01 8.915821425623137175e-01 1.017106672313329963e+00 1.015897641053475686e+00 1.015175726948965629e+00 
+3.010000000000000000e+02 2.361234554904684257e-01 4.783462953825565189e-01 7.150110456315428298e-01 8.907837243465313026e-01 1.017190502463741542e+00 1.015974582202339160e+00 1.015241037348142861e+00 
+3.020000000000000000e+02 2.366445021960791872e-01 4.785142870945416904e-01 7.145434677558424319e-01 8.899930944133989108e-01 1.017274341538582760e+00 1.016052330087724442e+00 1.015307191156327393e+00 
+3.030000000000000000e+02 2.371618051023386686e-01 4.786812277880138633e-01 7.140804850268654969e-01 8.892100127704193335e-01 1.017358063826457881e+00 1.016130792951959405e+00 1.015374254821985511e+00 
+3.040000000000000000e+02 2.376752840326200877e-01 4.788471080842710559e-01 7.136220535563001510e-01 8.884342641948640429e-01 1.017441599771620853e+00 1.016210272861396424e+00 1.015442251082736780e+00 
+3.050000000000000000e+02 2.381848551950963566e-01 4.790119098846714052e-01 7.131681255221062887e-01 8.876656602795702788e-01 1.017524900492612128e+00 1.016290481439997340e+00 1.015511269731150801e+00 
+3.060000000000000000e+02 2.386904446558785475e-01 4.791756215525732054e-01 7.127186578527886507e-01 8.869040449228996481e-01 1.017607937676271890e+00 1.016371427144909578e+00 1.015581309726308445e+00 
+3.070000000000000000e+02 2.391919808384420643e-01 4.793382291164683395e-01 7.122736061667852558e-01 8.861492741151063557e-01 1.017690693256785739e+00 1.016453276104508641e+00 1.015652380757594342e+00 
+3.080000000000000000e+02 2.396894028663570098e-01 4.794997268454719852e-01 7.118329281938929887e-01 8.854012110995613805e-01 1.017773112212106534e+00 1.016536364688364502e+00 1.015724542941108810e+00 
+3.090000000000000000e+02 2.401826490198028241e-01 4.796601033848403861e-01 7.113965777019078951e-01 8.846597194751164572e-01 1.017855131692681159e+00 1.016620179531081192e+00 1.015797657003679966e+00 
+3.100000000000000000e+02 2.406716627379630324e-01 4.798193473632291206e-01 7.109645128507470213e-01 8.839246983109999567e-01 1.017936777114758051e+00 1.016704770724549567e+00 1.015871615063247191e+00 
+3.110000000000000000e+02 2.411563840719963270e-01 4.799774434764084718e-01 7.105366846146159432e-01 8.831960287926567954e-01 1.018018028370921479e+00 1.016790116519028064e+00 1.015946734198872825e+00 
+3.120000000000000000e+02 2.416367750868931574e-01 4.801343941212947719e-01 7.101130548617188287e-01 8.824736092408473898e-01 1.018098849596566824e+00 1.016876541067777584e+00 1.016023097630702976e+00 
+3.130000000000000000e+02 2.421127778199224645e-01 4.802901763627354104e-01 7.096935695527721855e-01 8.817573025877797344e-01 1.018179222010647811e+00 1.016964055525228616e+00 1.016100619343355493e+00 
+3.140000000000000000e+02 2.425843464022127416e-01 4.804447777604524128e-01 7.092781760090820509e-01 8.810469599091020898e-01 1.018259086213441300e+00 1.017052532852867452e+00 1.016179270333506190e+00 
+3.150000000000000000e+02 2.430514511866418703e-01 4.805981979264447590e-01 7.088668315189932123e-01 8.803424474929963939e-01 1.018338393584576451e+00 1.017141885030475201e+00 1.016259130149012035e+00 
+3.160000000000000000e+02 2.435140510035125883e-01 4.807504228254924628e-01 7.084594845899976345e-01 8.796436109163019434e-01 1.018417090492897081e+00 1.017232089068733192e+00 1.016340230032050762e+00 
+3.170000000000000000e+02 2.439721145370529198e-01 4.809014438955334092e-01 7.080560939189116665e-01 8.789503375960985299e-01 1.018495278871507814e+00 1.017322858101895156e+00 1.016422502397313243e+00 
+3.180000000000000000e+02 2.444256143397215697e-01 4.810512522835909133e-01 7.076566222602044265e-01 8.782625411226043788e-01 1.018573189582557381e+00 1.017414113309011547e+00 1.016505849718303267e+00 
+3.190000000000000000e+02 2.448745401558086177e-01 4.811998541430410059e-01 7.072610369585194956e-01 8.775801258553839190e-01 1.018650970551775892e+00 1.017506093851925142e+00 1.016590270547336639e+00 
+3.200000000000000000e+02 2.453188721893565238e-01 4.813472440757440851e-01 7.068692967015767215e-01 8.769029721893653040e-01 1.018728717747195978e+00 1.017599111860928218e+00 1.016675983709801612e+00 
+3.210000000000000000e+02 2.457585961780663908e-01 4.814934194060601080e-01 7.064813614897587080e-01 8.762309633066474035e-01 1.018806482730228558e+00 1.017693397771223918e+00 1.016763261080599223e+00 
+3.220000000000000000e+02 2.461936878149938168e-01 4.816383650377607517e-01 7.060971766709535080e-01 8.755639393175718155e-01 1.018884343674174131e+00 1.017788783572591615e+00 1.016852566984238093e+00 
+3.230000000000000000e+02 2.466241178909040210e-01 4.817820608046562980e-01 7.057166732673756382e-01 8.749017002203404170e-01 1.018962241060491714e+00 1.017884943555335653e+00 1.016943591481352049e+00 
+3.240000000000000000e+02 2.470498860303101119e-01 4.819245096691512908e-01 7.053398078196514431e-01 8.742441439768507960e-01 1.019040312593893605e+00 1.017981579271217019e+00 1.017036373530627813e+00 
+3.250000000000000000e+02 2.474709835191951646e-01 4.820657048810887968e-01 7.049665433773636414e-01 8.735912399089083014e-01 1.019119077775045623e+00 1.018078717991323767e+00 1.017130821457989720e+00 
+3.260000000000000000e+02 2.478873760712110019e-01 4.822056093172513158e-01 7.045968217151845625e-01 8.729429248996286583e-01 1.019198946396474348e+00 1.018176295414121801e+00 1.017226901580772003e+00 
+3.270000000000000000e+02 2.482990837688036634e-01 4.823442437289633400e-01 7.042306110944703823e-01 8.722991478722131875e-01 1.019280044671093011e+00 1.018274153895993850e+00 1.017324560822879365e+00 
+3.280000000000000000e+02 2.487061225120912877e-01 4.824816151209515014e-01 7.038678749532437662e-01 8.716598667962803804e-01 1.019362732836416319e+00 1.018372318647945196e+00 1.017423654915870168e+00 
+3.290000000000000000e+02 2.491084971171535489e-01 4.826177175472205483e-01 7.035085729751620054e-01 8.710250573340407865e-01 1.019447353325277916e+00 1.018470779616993394e+00 1.017524023246960452e+00 
+3.300000000000000000e+02 2.495062002197386830e-01 4.827525381997532783e-01 7.031526596212543945e-01 8.703946724057040063e-01 1.019534083430368554e+00 1.018569459837280311e+00 1.017625365972179230e+00 
+3.310000000000000000e+02 2.498992288362815728e-01 4.828860660179353226e-01 7.028000873863919917e-01 8.697686537279558650e-01 1.019623102613575583e+00 1.018668166420215959e+00 1.017727388356459484e+00 
+3.320000000000000000e+02 2.502875942401529552e-01 4.830182973731786400e-01 7.024508180637428767e-01 8.691469746567164201e-01 1.019714681013075941e+00 1.018766940015045863e+00 1.017829779058804451e+00 
+3.330000000000000000e+02 2.506713274657252910e-01 4.831492473274175414e-01 7.021048244781111780e-01 8.685296297799920406e-01 1.019809032456095776e+00 1.018865658524700013e+00 1.017932462120071158e+00 
+3.340000000000000000e+02 2.510504419215732197e-01 4.832789147444323530e-01 7.017620705187901375e-01 8.679165875157157650e-01 1.019906319408814266e+00 1.018964275337183700e+00 1.018035255383188398e+00 
+3.350000000000000000e+02 2.514249444684189538e-01 4.834072882194615506e-01 7.014225190331007109e-01 8.673078332407720969e-01 1.020006753609263628e+00 1.019062769746154062e+00 1.018137931268385143e+00 
+3.360000000000000000e+02 2.517948511130134182e-01 4.835343662591030656e-01 7.010861304595964461e-01 8.667033306284115390e-01 1.020110325017686614e+00 1.019160947195535849e+00 1.018240317475848755e+00 
+3.370000000000000000e+02 2.521601803544137876e-01 4.836601456829355272e-01 7.007528656587540539e-01 8.661030523053490082e-01 1.020217134256978353e+00 1.019258792470020492e+00 1.018341932926277060e+00 
+3.380000000000000000e+02 2.525209687965833116e-01 4.837846411346841680e-01 7.004227029579863650e-01 8.655070254816279451e-01 1.020327230181625744e+00 1.019356268821521416e+00 1.018442398502355406e+00 
+3.390000000000000000e+02 2.528772319642543231e-01 4.839078467513870385e-01 7.000956046619740691e-01 8.649152168766729432e-01 1.020440357286260369e+00 1.019453181933742236e+00 1.018541555036369894e+00 
+3.400000000000000000e+02 2.532290070291958184e-01 4.840297758205388545e-01 6.997715491279695721e-01 8.643276434876877579e-01 1.020556230452646318e+00 1.019549509145857735e+00 1.018639103984500638e+00 
+3.410000000000000000e+02 2.535762805902314621e-01 4.841503942778464520e-01 6.994504971549001526e-01 8.637443382595797470e-01 1.020675242023070917e+00 1.019645620247443540e+00 1.018735288733678024e+00 
+3.420000000000000000e+02 2.539191202624861421e-01 4.842697355881787624e-01 6.991324491268487984e-01 8.631653886363322981e-01 1.020797331659238694e+00 1.019741586711727432e+00 1.018830072943222476e+00 
+3.430000000000000000e+02 2.542576015249984889e-01 4.843878466187990228e-01 6.988173928932176482e-01 8.625907823201288682e-01 1.020921941223349672e+00 1.019837244251373010e+00 1.018923218688311039e+00 
+3.440000000000000000e+02 2.545916943661690746e-01 4.845046800434444911e-01 6.985052558801390088e-01 8.620203923934088852e-01 1.021048324852307454e+00 1.019932220736455175e+00 1.019014341994771033e+00 
+3.450000000000000000e+02 2.549214099079882834e-01 4.846202217840461790e-01 6.981959874431377111e-01 8.614541301747649094e-01 1.021175698805431686e+00 1.020026163669407904e+00 1.019103146470442978e+00 
+3.460000000000000000e+02 2.552467789464757941e-01 4.847344723595874427e-01 6.978895620158021007e-01 8.608920118608341943e-01 1.021303855737074828e+00 1.020119141748627056e+00 1.019189733179499013e+00 
+3.470000000000000000e+02 2.555678578239178322e-01 4.848474546281869579e-01 6.975859823976313656e-01 8.603341477385777480e-01 1.021432859507842350e+00 1.020211471369303347e+00 1.019274462168179518e+00 
+3.480000000000000000e+02 2.558846619410177214e-01 4.849591603245452243e-01 6.972852262267064116e-01 8.597805662884157041e-01 1.021562482818582751e+00 1.020303276319730612e+00 1.019357549989837075e+00 
+3.490000000000000000e+02 2.561972763368514650e-01 4.850696372994331984e-01 6.969873018936129094e-01 8.592313442896517550e-01 1.021692514437471111e+00 1.020394748240258220e+00 1.019439276784922965e+00 
+3.500000000000000000e+02 2.565056612399804203e-01 4.851788292131370972e-01 6.966921539147229447e-01 8.586864233310266270e-01 1.021822760944516739e+00 1.020486027519786898e+00 1.019519857450173816e+00 
+3.510000000000000000e+02 2.568099100457141293e-01 4.852867764014485719e-01 6.963997400067325483e-01 8.581456815813695016e-01 1.021952129671802156e+00 1.020576637991782665e+00 1.019598897738358989e+00 
+3.520000000000000000e+02 2.571100683432834821e-01 4.853934960412767396e-01 6.961100334143853763e-01 8.576090376075576893e-01 1.022079857681137183e+00 1.020666334939156039e+00 1.019676255858283476e+00 
+3.530000000000000000e+02 2.574061283000521616e-01 4.854989646127991776e-01 6.958230099971063343e-01 8.570765029822684511e-01 1.022205699626686171e+00 1.020755194735012861e+00 1.019752202530314511e+00 
+3.540000000000000000e+02 2.576980743948758534e-01 4.856031450702816277e-01 6.955386308892905767e-01 8.565480500004079012e-01 1.022329461855858046e+00 1.020843336945819413e+00 1.019827046932630488e+00 
+3.550000000000000000e+02 2.579859668735728917e-01 4.857060559803388355e-01 6.952568783049009049e-01 8.560236592500749531e-01 1.022450747117259917e+00 1.020930780998605236e+00 1.019900943074398825e+00 
+3.560000000000000000e+02 2.582698687007219385e-01 4.858077200312120314e-01 6.949777436999818869e-01 8.555033426228763060e-01 1.022569476576251857e+00 1.021017770624632615e+00 1.019974230686362615e+00 
+3.570000000000000000e+02 2.585498343525042264e-01 4.859081573489689165e-01 6.947012145462513333e-01 8.549870789469690147e-01 1.022685076947875471e+00 1.021104224831336671e+00 1.020046930613333513e+00 
+3.580000000000000000e+02 2.588258859737661011e-01 4.860073642523079496e-01 6.944272621527838307e-01 8.544748052204157451e-01 1.022796919378632818e+00 1.021190014870358098e+00 1.020118986120821081e+00 
+3.590000000000000000e+02 2.590980361707982405e-01 4.861053269821805634e-01 6.941558503112157386e-01 8.539664406147131626e-01 1.022904351358026487e+00 1.021275043053184728e+00 1.020190383716449212e+00 
+3.600000000000000000e+02 2.593663095658088613e-01 4.862020378912979557e-01 6.938869502799466238e-01 8.534619260636039373e-01 1.023006840283185337e+00 1.021359343025123323e+00 1.020261187351718224e+00 
+3.610000000000000000e+02 2.596307501576254340e-01 4.862975065320774282e-01 6.936205437142385355e-01 8.529612298653920233e-01 1.023103886078128744e+00 1.021443018762185462e+00 1.020331525685685525e+00 
+3.620000000000000000e+02 2.598913969560514015e-01 4.863917366694225364e-01 6.933566183215056355e-01 8.524643495306885033e-01 1.023195218772504189e+00 1.021526352339038990e+00 1.020401667896162046e+00 
+3.630000000000000000e+02 2.601482977848909028e-01 4.864847446690361288e-01 6.930951656994341903e-01 8.519712807537824784e-01 1.023280443203724133e+00 1.021609541100239937e+00 1.020471787192712920e+00 
+3.640000000000000000e+02 2.604015081407331511e-01 4.865765522615627670e-01 6.928361720675073609e-01 8.514819780988710507e-01 1.023358709548538137e+00 1.021692429342329733e+00 1.020541798628160191e+00 
+3.650000000000000000e+02 2.606510206405344143e-01 4.866671281310973596e-01 6.925795930171126935e-01 8.509963451999991157e-01 1.023429235282414140e+00 1.021774937685189233e+00 1.020611699134535977e+00 
+3.660000000000000000e+02 2.608968713885576052e-01 4.867564761564823761e-01 6.923254035830762598e-01 8.505143167068224264e-01 1.023491095370565152e+00 1.021857008830863611e+00 1.020681415623608812e+00 
+3.670000000000000000e+02 2.611391067811470457e-01 4.868446078594086956e-01 6.920735792524164154e-01 8.500358115831990746e-01 1.023543180650955176e+00 1.021938486805592072e+00 1.020750786096211948e+00 
+3.680000000000000000e+02 2.613777566711255607e-01 4.869315226498366900e-01 6.918240935704842443e-01 8.495607636529831641e-01 1.023584352107402839e+00 1.022019234180311820e+00 1.020819712651494182e+00 
+3.690000000000000000e+02 2.616128358530268594e-01 4.870172074961073294e-01 6.915769264347236822e-01 8.490891530249999875e-01 1.023613805871728788e+00 1.022099425009913576e+00 1.020888381532307987e+00 
+3.700000000000000000e+02 2.618443994144309395e-01 4.871016855921094790e-01 6.913320838682555092e-01 8.486210273738228338e-01 1.023630858628557627e+00 1.022179405321824941e+00 1.020957116876148207e+00 
+3.710000000000000000e+02 2.620724944083751007e-01 4.871849732028838975e-01 6.910895657824412952e-01 8.481564276420355819e-01 1.023634808477488889e+00 1.022259566371178430e+00 1.021026247094314332e+00 
+3.720000000000000000e+02 2.622971697338090102e-01 4.872670853779683675e-01 6.908493609502334154e-01 8.476953434615286387e-01 1.023624506326332950e+00 1.022340045928004981e+00 1.021095877356001047e+00 
+3.730000000000000000e+02 2.625184517519233984e-01 4.873480193911909897e-01 6.906114374615192064e-01 8.472376832027558313e-01 1.023598381929341494e+00 1.022420687418695850e+00 1.021165913121860225e+00 
+3.740000000000000000e+02 2.627363664052169145e-01 4.874277730102170580e-01 6.903757586497669685e-01 8.467833406128982832e-01 1.023554668354127672e+00 1.022501268416955433e+00 1.021236135888797580e+00 
+3.750000000000000000e+02 2.629509377153542160e-01 4.875063417147789124e-01 6.901422881785845842e-01 8.463322148455104665e-01 1.023491519426422691e+00 1.022581555471921977e+00 1.021306304285632516e+00 
+3.760000000000000000e+02 2.631621875467799465e-01 4.875837185340310964e-01 6.899109895550817884e-01 8.458842019490139252e-01 1.023406957883367996e+00 1.022661291438428099e+00 1.021376154426488991e+00 
+3.770000000000000000e+02 2.633701560375957262e-01 4.876599148961555108e-01 6.896818477124883051e-01 8.454392662446609252e-01 1.023299157441877494e+00 1.022740402132234605e+00 1.021445598323499349e+00 
+3.780000000000000000e+02 2.635748711966352520e-01 4.877349338921697641e-01 6.894548604253444291e-01 8.449974545040749296e-01 1.023166909915908418e+00 1.022819369851496685e+00 1.021515107276591783e+00 
+3.790000000000000000e+02 2.637763942178475984e-01 4.878088046781614007e-01 6.892300379390345899e-01 8.445588308707919767e-01 1.023009138842303711e+00 1.022898647811507633e+00 1.021585105729358567e+00 
+3.800000000000000000e+02 2.639747419576033982e-01 4.878815219366072764e-01 6.890073622010959298e-01 8.441233653220795441e-01 1.022823996921597534e+00 1.022978132973598520e+00 1.021655493520514879e+00 
+3.810000000000000000e+02 2.641699760826220489e-01 4.879531125532346469e-01 6.887868191829726872e-01 8.436910070492482649e-01 1.022609541587631510e+00 1.023057716593854582e+00 1.021726150476628847e+00 
+3.820000000000000000e+02 2.643621110534883356e-01 4.880235644955426833e-01 6.885683641129182186e-01 8.432616299384613212e-01 1.022363772311639885e+00 1.023137175929392795e+00 1.021796830972636183e+00 
+3.830000000000000000e+02 2.645512266169980919e-01 4.880929164314296576e-01 6.883519721246984524e-01 8.428351424347790832e-01 1.022084613466907710e+00 1.023216134090601637e+00 1.021867174253001220e+00 
+3.840000000000000000e+02 2.647372800262695058e-01 4.881611167872482726e-01 6.881375950236096051e-01 8.424114620022473687e-01 1.021770677392910276e+00 1.023294685810704152e+00 1.021937266162788349e+00 
+3.850000000000000000e+02 2.649203078482169627e-01 4.882281817115044498e-01 6.879252357652574368e-01 8.419906287698127878e-01 1.021421004111156883e+00 1.023373022634794793e+00 1.022007246766995614e+00 
+3.860000000000000000e+02 2.651003717807307036e-01 4.882941455393575714e-01 6.877149141294550683e-01 8.415727385941224048e-01 1.021035078526402629e+00 1.023451592113191477e+00 1.022077540886989544e+00 
+3.870000000000000000e+02 2.652775075788513792e-01 4.883590148788043983e-01 6.875066123369821813e-01 8.411577724183865179e-01 1.020612231405470638e+00 1.023530626439283608e+00 1.022148355436386824e+00 
+3.880000000000000000e+02 2.654517634938281523e-01 4.884228058810952122e-01 6.873002965254879637e-01 8.407456362383397552e-01 1.020151568770288675e+00 1.023609859055347071e+00 1.022219536615072144e+00 
+3.890000000000000000e+02 2.656231486503819461e-01 4.884855050021815748e-01 6.870959181278617489e-01 8.403362191800483050e-01 1.019652507853211043e+00 1.023689033390160041e+00 1.022290844338189952e+00 
+3.900000000000000000e+02 2.657917080358997985e-01 4.885471290646278830e-01 6.868934599806635344e-01 8.399294830636054865e-01 1.019114927672317483e+00 1.023768044377395547e+00 1.022362087187593582e+00 
+3.910000000000000000e+02 2.659574394138439213e-01 4.886076601326863611e-01 6.866928859943184360e-01 8.395253579022659007e-01 1.018538920639103784e+00 1.023846704018528397e+00 1.022433015460008088e+00 
+3.920000000000000000e+02 2.661203953084047003e-01 4.886671261199320715e-01 6.864941955611582047e-01 8.391238533491891527e-01 1.017925079868382099e+00 1.023925004350064061e+00 1.022503652707096533e+00 
+3.930000000000000000e+02 2.662806444847017340e-01 4.887255622112434139e-01 6.862973936725380586e-01 8.387250229266381973e-01 1.017274586407116876e+00 1.024003249606362909e+00 1.022574319186099423e+00 
+3.940000000000000000e+02 2.664382006226771460e-01 4.887829633070041591e-01 6.861024592480748918e-01 8.383288629085371424e-01 1.016588864275245419e+00 1.024081608114893793e+00 1.022645182315426338e+00 
+3.950000000000000000e+02 2.665930500624460464e-01 4.888393065809333304e-01 6.859093590706254462e-01 8.379353369672229990e-01 1.015869558675297046e+00 1.024160129651226825e+00 1.022716278020948444e+00 
+3.960000000000000000e+02 2.667452295608911950e-01 4.888946062493711997e-01 6.857180711020800512e-01 8.375444011421873114e-01 1.015118421426905782e+00 1.024238730055216706e+00 1.022787500669852356e+00 
+3.970000000000000000e+02 2.668948110205563995e-01 4.889488970450313610e-01 6.855285799861586815e-01 8.371560174422479905e-01 1.014337445621120937e+00 1.024317276983999214e+00 1.022858760203361417e+00 
+3.980000000000000000e+02 2.670418395216622720e-01 4.890021921168332120e-01 6.853408605732305148e-01 8.367701397527054219e-01 1.013528851957375521e+00 1.024395701068309794e+00 1.022929955408136360e+00 
+3.990000000000000000e+02 2.671863829225684106e-01 4.890545259556034474e-01 6.851548981942018335e-01 8.363867427980973268e-01 1.012695161533151644e+00 1.024473972923760856e+00 1.023001060492305880e+00 
+4.000000000000000000e+02 2.673284148003646221e-01 4.891058678155142947e-01 6.849706600584940519e-01 8.360057998167460536e-01 1.011839121055748247e+00 1.024552102990305746e+00 1.023072073764595524e+00 
+4.010000000000000000e+02 2.674679296179497956e-01 4.891562068028957322e-01 6.847881219497483629e-01 8.356272894813471241e-01 1.010963558211341207e+00 1.024630076129454226e+00 1.023142993711530391e+00 
+4.020000000000000000e+02 2.676049739737831890e-01 4.892055659157601433e-01 6.846072771203935980e-01 8.352512277887869097e-01 1.010071552749828516e+00 1.024708048461635324e+00 1.023213986259570163e+00 
+4.030000000000000000e+02 2.677396039927982807e-01 4.892539696423074957e-01 6.844281162522543038e-01 8.348776178029035933e-01 1.009166257110636566e+00 1.024786201918811424e+00 1.023285196686547049e+00 
+4.040000000000000000e+02 2.678718864757789198e-01 4.893014501028839502e-01 6.842506281333077256e-01 8.345064462978358799e-01 1.008250557522965662e+00 1.024864402202322111e+00 1.023356501904524096e+00 
+4.050000000000000000e+02 2.680018353875249781e-01 4.893480041527801805e-01 6.840747845026404761e-01 8.341376698794509270e-01 1.007327263854909116e+00 1.024942592812728703e+00 1.023427868081703052e+00 
+4.060000000000000000e+02 2.681294645944109489e-01 4.893936294722316949e-01 6.839005521385060904e-01 8.337712353442913171e-01 1.006399217072932784e+00 1.025020787840375203e+00 1.023499288413465047e+00 
+4.070000000000000000e+02 2.682547616910612720e-01 4.894383069893329385e-01 6.837278961120454301e-01 8.334070962457821308e-01 1.005469114359584637e+00 1.025098831863491489e+00 1.023570625373950493e+00 
+4.080000000000000000e+02 2.683777887099496606e-01 4.894820697066820103e-01 6.835568037382055984e-01 8.330452278129568677e-01 1.004539421326092974e+00 1.025176657666146518e+00 1.023641742713015113e+00 
+4.090000000000000000e+02 2.684986058556436128e-01 4.895249441996772366e-01 6.833872623629947407e-01 8.326856169746003067e-01 1.003612532194485318e+00 1.025254244492976419e+00 1.023712693452509592e+00 
+4.100000000000000000e+02 2.686172371688996807e-01 4.895669345391199245e-01 6.832192522149683755e-01 8.323282510705979353e-01 1.002690737037148727e+00 1.025331640105180186e+00 1.023783542289526949e+00 
+4.110000000000000000e+02 2.687336926993879049e-01 4.896080402421568722e-01 6.830527586087530301e-01 8.319731489086328313e-01 1.001776301375820521e+00 1.025409057794065770e+00 1.023854448649671900e+00 
+4.120000000000000000e+02 2.688479749162989152e-01 4.896482529707403275e-01 6.828877577520086062e-01 8.316202962694915213e-01 1.000871166666062573e+00 1.025486617291395675e+00 1.023925535062765846e+00 
+4.130000000000000000e+02 2.689601720357645553e-01 4.896876238870481179e-01 6.827242403201131404e-01 8.312696598836869510e-01 9.999766171023516392e-01 1.025564033289664945e+00 1.023996543715132379e+00 
+4.140000000000000000e+02 2.690703074587037502e-01 4.897261530878964653e-01 6.825621833823359852e-01 8.309212192519377371e-01 9.990940251197567568e-01 1.025641366018765543e+00 1.024067524026498033e+00 
+4.150000000000000000e+02 2.691783986111265237e-01 4.897638428177886194e-01 6.824015647994748912e-01 8.305749580835829482e-01 9.982245325653421597e-01 1.025718624188288519e+00 1.024138475358538081e+00 
+4.160000000000000000e+02 2.692844641040008091e-01 4.898006967514514920e-01 6.822423639101211634e-01 8.302308587263733664e-01 9.973690034169796492e-01 1.025795801695259080e+00 1.024209403078032654e+00 
+4.170000000000000000e+02 2.693885376524888242e-01 4.898367281952885066e-01 6.820845659707693853e-01 8.298889156139059864e-01 9.965281270614269049e-01 1.025872926888087289e+00 1.024280327458563011e+00 
+4.180000000000000000e+02 2.694906646834678288e-01 4.898719587835880795e-01 6.819281638156370340e-01 8.295491443341852511e-01 9.957024789015187505e-01 1.025950108177539066e+00 1.024351348558616648e+00 
+4.190000000000000000e+02 2.695908878337416881e-01 4.899064075414729658e-01 6.817731387312959690e-01 8.292115200230593119e-01 9.948922554513337513e-01 1.026027325794962586e+00 1.024422475130488452e+00 
+4.200000000000000000e+02 2.696891393961088346e-01 4.899400127807471694e-01 6.816194335992479258e-01 8.288759608180167326e-01 9.940974088887859494e-01 1.026104426928084790e+00 1.024493534400789052e+00 
+4.210000000000000000e+02 2.697855185104490183e-01 4.899728347250758009e-01 6.814670394917329288e-01 8.285424264342180489e-01 9.933176277946830224e-01 1.026181133510901455e+00 1.024564265900404170e+00 
+4.220000000000000000e+02 2.698800861748815727e-01 4.900049005505875965e-01 6.813159433059119419e-01 8.282108995536455742e-01 9.925526064268821447e-01 1.026257348624276089e+00 1.024634579338502549e+00 
+4.230000000000000000e+02 2.699728505290862612e-01 4.900362062625940318e-01 6.811661373039389344e-01 8.278814190141302598e-01 9.918023074741006972e-01 1.026333404668171578e+00 1.024704802800713743e+00 
+4.240000000000000000e+02 2.700638161985592367e-01 4.900667504871005775e-01 6.810176131857944570e-01 8.275540163371448710e-01 9.910665742278268464e-01 1.026409529125319908e+00 1.024775158661050733e+00 
+4.250000000000000000e+02 2.701530186897196928e-01 4.900965511309496314e-01 6.808703613766935447e-01 8.272286965649885415e-01 9.903449941762796360e-01 1.026485754003606310e+00 1.024845662128571533e+00 
+4.260000000000000000e+02 2.702404710276772870e-01 4.901256067380566073e-01 6.807243636432768197e-01 8.269054626763323590e-01 9.896371800700708432e-01 1.026562220962565775e+00 1.024916471559116360e+00 
+4.270000000000000000e+02 2.703262406817845132e-01 4.901539505269676411e-01 6.805796050998262903e-01 8.265842818890295485e-01 9.889424905620537443e-01 1.026638896881444163e+00 1.024987567000775535e+00 
+4.280000000000000000e+02 2.704103574039062319e-01 4.901815885449877785e-01 6.804360526765543815e-01 8.262650748912914178e-01 9.882600004117720882e-01 1.026715364913719508e+00 1.025058493261815862e+00 
+4.290000000000000000e+02 2.704928198808002060e-01 4.902085079318178606e-01 6.802936679576635504e-01 8.259477666685848263e-01 9.875888102995485918e-01 1.026791344640986203e+00 1.025128978096366827e+00 
+4.300000000000000000e+02 2.705736497513585581e-01 4.902347167211134615e-01 6.801524335618236439e-01 8.256323411019574898e-01 9.869283076325903181e-01 1.026866842223219223e+00 1.025199048437414939e+00 
+4.310000000000000000e+02 2.706528571245144787e-01 4.902602142085201731e-01 6.800123425576327651e-01 8.253188299468519062e-01 9.862781722653350958e-01 1.026942142714589723e+00 1.025268991195097179e+00 
+4.320000000000000000e+02 2.707304908045695124e-01 4.902850278306318255e-01 6.798734009227156427e-01 8.250072806479344933e-01 9.856381284519063479e-01 1.027017490884231554e+00 1.025339025158947370e+00 
+4.330000000000000000e+02 2.708065788082276715e-01 4.903091665628774853e-01 6.797355951742940494e-01 8.246976874067886154e-01 9.850077092772132614e-01 1.027092902882615011e+00 1.025409162437163069e+00 
+4.340000000000000000e+02 2.708811455366897381e-01 4.903326356913015327e-01 6.795988986004866117e-01 8.243900037971555461e-01 9.843862559743256080e-01 1.027168196436024639e+00 1.025479250367511197e+00 
+4.350000000000000000e+02 2.709542125974232496e-01 4.903554389274880632e-01 6.794632882352468206e-01 8.240841905547628965e-01 9.837732347622684115e-01 1.027243291663738622e+00 1.025549204436303041e+00 
+4.360000000000000000e+02 2.710258036972926776e-01 4.903775843911691301e-01 6.793287514233814495e-01 8.237802428089517903e-01 9.831683144835381416e-01 1.027318207380991666e+00 1.025619064521460899e+00 
+4.370000000000000000e+02 2.710959448903536018e-01 4.903990822874780831e-01 6.791952778149186187e-01 8.234781624667412148e-01 9.825712227137091137e-01 1.027393039422407783e+00 1.025688902408951941e+00 
+4.380000000000000000e+02 2.711646598204489611e-01 4.904199403754972986e-01 6.790628526313150504e-01 8.231779362357370955e-01 9.819816472221392090e-01 1.027467793829435427e+00 1.025758719971678001e+00 
+4.390000000000000000e+02 2.712319861001157850e-01 4.904401749709104141e-01 6.789314657562718347e-01 8.228795584234990246e-01 9.813993002206713445e-01 1.027542426219320459e+00 1.025828474038695370e+00 
+4.400000000000000000e+02 2.712979306467936391e-01 4.904597812788394351e-01 6.788010962775301582e-01 8.225830054822158566e-01 9.808239045715456683e-01 1.027616922129293009e+00 1.025898151230079547e+00 
+4.410000000000000000e+02 2.713625192983099566e-01 4.904787686926079249e-01 6.786717261481725050e-01 8.222882476561670373e-01 9.802551667797589907e-01 1.027691188353053509e+00 1.025967662805170599e+00 
+4.420000000000000000e+02 2.714257667470617585e-01 4.904971383665434059e-01 6.785433377089609142e-01 8.219952643112590218e-01 9.796928939390394664e-01 1.027765201363909142e+00 1.026036986489498704e+00 
+4.430000000000000000e+02 2.714876894403694396e-01 4.905148940342985986e-01 6.784159189854204186e-01 8.217040526847968485e-01 9.791369803499681002e-01 1.027838995979752479e+00 1.026106174667281268e+00 
+4.440000000000000000e+02 2.715483420997206188e-01 4.905320635185970723e-01 6.782894690938302551e-01 8.214146292034928409e-01 9.785874105186557204e-01 1.027912702663087208e+00 1.026175342400701629e+00 
+4.450000000000000000e+02 2.716077431284474875e-01 4.905486532549974132e-01 6.781639807838424350e-01 8.211270086273487756e-01 9.780442155175382846e-01 1.027986456699664375e+00 1.026244594024248169e+00 
+4.460000000000000000e+02 2.716659020292927496e-01 4.905646641651376649e-01 6.780394367678491685e-01 8.208411729621133412e-01 9.775073060799855940e-01 1.028060275901404141e+00 1.026313974822356645e+00 
+4.470000000000000000e+02 2.717228242058070120e-01 4.905800894355816788e-01 6.779158098840214475e-01 8.205570697091715271e-01 9.769763908581232670e-01 1.028133964122039279e+00 1.026383301646172530e+00 
+4.480000000000000000e+02 2.717785302468791464e-01 4.905949334801134598e-01 6.777930774589103757e-01 8.202746449187015010e-01 9.764511700153306606e-01 1.028207276717319152e+00 1.026452315129281700e+00 
+4.490000000000000000e+02 2.718330478116061100e-01 4.906092077383197858e-01 6.776712265597070184e-01 8.199938805342559256e-01 9.759314984974535312e-01 1.028280113266920370e+00 1.026520912880595882e+00 
+4.500000000000000000e+02 2.718863944794636112e-01 4.906229176312886797e-01 6.775502511606584788e-01 8.197147969495446329e-01 9.754174505963681963e-01 1.028352672080680597e+00 1.026589297629483477e+00 
+4.510000000000000000e+02 2.719385951060026008e-01 4.906360733842589639e-01 6.774301524286769904e-01 8.194374311141050526e-01 9.749091707306758448e-01 1.028425205277670562e+00 1.026657733995698152e+00 
+4.520000000000000000e+02 2.719896763126810058e-01 4.906486885810147358e-01 6.773109263546748249e-01 8.191617978151450874e-01 9.744066871348585623e-01 1.028497842020718034e+00 1.026726338878839684e+00 
+4.530000000000000000e+02 2.720396668857902323e-01 4.906607754313992986e-01 6.771925639466009894e-01 8.188878820006493253e-01 9.739098543306894395e-01 1.028570506057355116e+00 1.026795029566384354e+00 
+4.540000000000000000e+02 2.720885767612283290e-01 4.906723336718912254e-01 6.770750417370852148e-01 8.186156357674345685e-01 9.734184021505909445e-01 1.028643025084043039e+00 1.026863622592174563e+00 
+4.550000000000000000e+02 2.721364204640992490e-01 4.906833645026097979e-01 6.769583437678963200e-01 8.183450436919414983e-01 9.729322344204790474e-01 1.028715421303877386e+00 1.026932151982692387e+00 
+4.560000000000000000e+02 2.721831987243871209e-01 4.906938620759102032e-01 6.768424521280866912e-01 8.180760863416850492e-01 9.724512677291380358e-01 1.028787754387528341e+00 1.027000680583018299e+00 
+4.570000000000000000e+02 2.722289429953541062e-01 4.907038413514735464e-01 6.767273541579655882e-01 8.178087268391857068e-01 9.719751906712328360e-01 1.028859724790240904e+00 1.027068916891299866e+00 
+4.580000000000000000e+02 2.722736640237341521e-01 4.907133031045408100e-01 6.766130315253581218e-01 8.175429262782286655e-01 9.715037315447030419e-01 1.028931177689033527e+00 1.027136712511498962e+00 
+4.590000000000000000e+02 2.723173742472265180e-01 4.907222489689335720e-01 6.764994779344812859e-01 8.172786981287982755e-01 9.710368891211227371e-01 1.029002265827995144e+00 1.027204208374882688e+00 
+4.600000000000000000e+02 2.723600955842109261e-01 4.907306898921451332e-01 6.763866973985378506e-01 8.170160846258103238e-01 9.705747507020452414e-01 1.029073242116777864e+00 1.027271649218613803e+00 
+4.610000000000000000e+02 2.724018563371386481e-01 4.907386393474421626e-01 6.762746868560719493e-01 8.167550959050281500e-01 9.701172628783862883e-01 1.029144197444898268e+00 1.027339127708869926e+00 
+4.620000000000000000e+02 2.724426714748870992e-01 4.907461022799327055e-01 6.761634332938538661e-01 8.164957127118568359e-01 9.696642731807273430e-01 1.029215116687546727e+00 1.027406630253137942e+00 
+4.630000000000000000e+02 2.724825519666079776e-01 4.907530800713778563e-01 6.760529212685723044e-01 8.162379075342275359e-01 9.692156063091242890e-01 1.029285948870133138e+00 1.027474109330702712e+00 
+4.640000000000000000e+02 2.725215032344214250e-01 4.907595709698871489e-01 6.759431319743859357e-01 8.159816445256753425e-01 9.687710524877032325e-01 1.029356609750031071e+00 1.027541481509151700e+00 
+4.650000000000000000e+02 2.725595478918381165e-01 4.907655857436236113e-01 6.758340598463622451e-01 8.157269239844979758e-01 9.683305358665409424e-01 1.029427146933182158e+00 1.027608785969101435e+00 
+4.660000000000000000e+02 2.725966999915549471e-01 4.907711269858891501e-01 6.757257007542877281e-01 8.154737536664338204e-01 9.678939946813981399e-01 1.029497622440054272e+00 1.027676075958041224e+00 
+4.670000000000000000e+02 2.726329871886633005e-01 4.907762107931498696e-01 6.756180542300370684e-01 8.152221473099033888e-01 9.674613801515077327e-01 1.029568117898002733e+00 1.027743440092107052e+00 
+4.680000000000000000e+02 2.726684248453035697e-01 4.907808432649760078e-01 6.755111088265157715e-01 8.149720840105200148e-01 9.670325231951710787e-01 1.029638590835451506e+00 1.027810837138941613e+00 
+4.690000000000000000e+02 2.727030056035611993e-01 4.907850130876044714e-01 6.754048337987891282e-01 8.147234894358786894e-01 9.666070603410094053e-01 1.029708730346123424e+00 1.027877960586720985e+00 
+4.700000000000000000e+02 2.727367419530086767e-01 4.907887230690055058e-01 6.752992145519841616e-01 8.144763307327685942e-01 9.661847777563420392e-01 1.029778379073635897e+00 1.027944662296640388e+00 
+4.710000000000000000e+02 2.727696354453336136e-01 4.907919689710988909e-01 6.751942420627267127e-01 8.142306080837669047e-01 9.657656474431285387e-01 1.029847635663889704e+00 1.028011039363619705e+00 
+4.720000000000000000e+02 2.728017274622753230e-01 4.907947762460628804e-01 6.750899238148428960e-01 8.139863547106707120e-01 9.653497634161047891e-01 1.029916702590747191e+00 1.028077289844424813e+00 
+4.730000000000000000e+02 2.728330300352699300e-01 4.907971501153521321e-01 6.749862600033970095e-01 8.137435952115242843e-01 9.649372164695511067e-01 1.029985798880302506e+00 1.028143625846156040e+00 
+4.740000000000000000e+02 2.728635523973486077e-01 4.907990943155239871e-01 6.748832477701108834e-01 8.135023411669750626e-01 9.645280279312091753e-01 1.030055041921003722e+00 1.028210128407331503e+00 
+4.750000000000000000e+02 2.728932950519775136e-01 4.908006046156957458e-01 6.747808698370209024e-01 8.132625558053736547e-01 9.641219831618790259e-01 1.030124227138970339e+00 1.028276613159554653e+00 
+4.760000000000000000e+02 2.729222897496266231e-01 4.908016966236896650e-01 6.746791086826191552e-01 8.130241724120652602e-01 9.637187336553595385e-01 1.030193030132224408e+00 1.028342817540084164e+00 
+4.770000000000000000e+02 2.729505318095866162e-01 4.908023637325460986e-01 6.745779487166411181e-01 8.127871713349005267e-01 9.633182356911419442e-01 1.030261453125025595e+00 1.028408726324997247e+00 
+4.780000000000000000e+02 2.729780195661560271e-01 4.908026006435645128e-01 6.744773884898354055e-01 8.125515868490890137e-01 9.629206845323120545e-01 1.030329795273229321e+00 1.028474597526266354e+00 
+4.790000000000000000e+02 2.730047562358317026e-01 4.908024109160608606e-01 6.743774295897672078e-01 8.123174296849822174e-01 9.625260932410906189e-01 1.030398097117506628e+00 1.028540447077208153e+00 
+4.800000000000000000e+02 2.730307842959294184e-01 4.908018186552936535e-01 6.742780664056265971e-01 8.120846763152987924e-01 9.621343228700277583e-01 1.030466220626503837e+00 1.028606152457560929e+00 
+4.810000000000000000e+02 2.730561037420181081e-01 4.908008169170638979e-01 6.741792782461440980e-01 8.118532860952516472e-01 9.617452345572146122e-01 1.030534041917867238e+00 1.028671624349456248e+00 
+4.820000000000000000e+02 2.730807191620288066e-01 4.907994039069547565e-01 6.740810489685433726e-01 8.116232283111936008e-01 9.613587214129259984e-01 1.030601461246432482e+00 1.028736778073148228e+00 
+4.830000000000000000e+02 2.731046267063579336e-01 4.907975753399360652e-01 6.739833736361103833e-01 8.113945090797797244e-01 9.609748559416034785e-01 1.030668607669457337e+00 1.028801723729817486e+00 
+4.840000000000000000e+02 2.731278751252716464e-01 4.907953647351924742e-01 6.738862682189195041e-01 8.111671691293511621e-01 9.605937791925921454e-01 1.030735658684652556e+00 1.028866621868425923e+00 
+4.850000000000000000e+02 2.731504651605479728e-01 4.907927707158779018e-01 6.737897264492231919e-01 8.109412025976021621e-01 9.602154833353695462e-01 1.030802626357543161e+00 1.028931473893765380e+00 
+4.860000000000000000e+02 2.731724013288328035e-01 4.907897887724514407e-01 6.736937323825533674e-01 8.107165881372760952e-01 9.598399165205813155e-01 1.030869484517610291e+00 1.028996259659604062e+00 
+4.870000000000000000e+02 2.731936794103259070e-01 4.907864171529272013e-01 6.735982795127205547e-01 8.104933225212412884e-01 9.594670966079137386e-01 1.030936283663139053e+00 1.029061034887588821e+00 
+4.880000000000000000e+02 2.732143144083562514e-01 4.907826642682369123e-01 6.735033639769069103e-01 8.102713976114259697e-01 9.590970120007841215e-01 1.031003011391003366e+00 1.029125790622023917e+00 
+4.890000000000000000e+02 2.732343228703979499e-01 4.907785387348503336e-01 6.734089798074097688e-01 8.100508013781279049e-01 9.587296343080659033e-01 1.031069644429629895e+00 1.029190503816281632e+00 
+4.900000000000000000e+02 2.732537112410938218e-01 4.907740427711226316e-01 6.733151150663448936e-01 8.098315069720377624e-01 9.583648841946041941e-01 1.031136113703209789e+00 1.029255103801115290e+00 
+4.910000000000000000e+02 2.732724831085197592e-01 4.907691745506535530e-01 6.732217569487312092e-01 8.096134883966534801e-01 9.580026722145080775e-01 1.031202316976551625e+00 1.029319485026527481e+00 
+4.920000000000000000e+02 2.732906461738918713e-01 4.907639382949689488e-01 6.731289005739632403e-01 8.093967389446919958e-01 9.576429747017221050e-01 1.031268227197031928e+00 1.029383612721199714e+00 
+4.930000000000000000e+02 2.733082062073627361e-01 4.907583354301310319e-01 6.730365405875685658e-01 8.091812541941372228e-01 9.572857843929930555e-01 1.031333854616565349e+00 1.029447500825906081e+00 
+4.940000000000000000e+02 2.733251691021381657e-01 4.907523685041979000e-01 6.729446732012199783e-01 8.089670341991509472e-01 9.569311176675826536e-01 1.031399249666004714e+00 1.029511206079986474e+00 
+4.950000000000000000e+02 2.733415441093253184e-01 4.907460419190280421e-01 6.728532950909337229e-01 8.087540805210446937e-01 9.565790024372352596e-01 1.031464479366220877e+00 1.029574798566030847e+00 
+4.960000000000000000e+02 2.733573411038357492e-01 4.907393617630450011e-01 6.727624028984889870e-01 8.085423925656984867e-01 9.562294533586372935e-01 1.031529597520797648e+00 1.029638328376423662e+00 
+4.970000000000000000e+02 2.733725776821797626e-01 4.907323383589698440e-01 6.726720010101746583e-01 8.083319937906774388e-01 9.558825856594458381e-01 1.031594786068365854e+00 1.029701954325299429e+00 
+4.980000000000000000e+02 2.733872465695767473e-01 4.907249648330277436e-01 6.725820780158214829e-01 8.081228652885545927e-01 9.555383813335616150e-01 1.031660095755187800e+00 1.029765728670521741e+00 
+4.990000000000000000e+02 2.734013957696808106e-01 4.907172724463449431e-01 6.724926280093783681e-01 8.079149656059984030e-01 9.551965811243972038e-01 1.031725141404264301e+00 1.029829306033588354e+00 
+5.000000000000000000e+02 2.734149920509637011e-01 4.907092359970539608e-01 6.724036261767525335e-01 8.077082403962546620e-01 9.548569927133506718e-01 1.031789743044895458e+00 1.029892505077445897e+00 
+5.010000000000000000e+02 2.734280162113478241e-01 4.907008413759876841e-01 6.723150619251679894e-01 8.075026796265438733e-01 9.545196036781905535e-01 1.031853924602976980e+00 1.029955330248326639e+00 
+5.020000000000000000e+02 2.734404827283966055e-01 4.906920950004004522e-01 6.722269355339706154e-01 8.072982942516170324e-01 9.541844518798483499e-01 1.031917760411082519e+00 1.030017839298522198e+00 
+5.030000000000000000e+02 2.734524222828682571e-01 4.906830178757889405e-01 6.721392545175489674e-01 8.070951044322189905e-01 9.538515839763215265e-01 1.031981327988974684e+00 1.030080112888127841e+00 
+5.040000000000000000e+02 2.734638497922253775e-01 4.906736193130436519e-01 6.720520216602497987e-01 8.068931216420753838e-01 9.535210449895303864e-01 1.032044771739719868e+00 1.030142305600042718e+00 
+5.050000000000000000e+02 2.734747686609583228e-01 4.906639021048488369e-01 6.719652335913808283e-01 8.066923456259113001e-01 9.531928582173782027e-01 1.032108181481812492e+00 1.030204510169210774e+00 
+5.060000000000000000e+02 2.734851791516689223e-01 4.906538656643861240e-01 6.718788836569716816e-01 8.064927674758133325e-01 9.528670103588580131e-01 1.032171584527609154e+00 1.030266748068002780e+00 
+5.070000000000000000e+02 2.734950828388373334e-01 4.906435096529237483e-01 6.717929612347784962e-01 8.062943635169944612e-01 9.525434196765805162e-01 1.032234916827091453e+00 1.030328954912657302e+00 
+5.080000000000000000e+02 2.735044917547196919e-01 4.906328407275327153e-01 6.717074604653695546e-01 8.060971164846097992e-01 9.522220191813096646e-01 1.032298124885745239e+00 1.030391065680972940e+00 
+5.090000000000000000e+02 2.735133981775233480e-01 4.906218514709629885e-01 6.716223735583966015e-01 8.059010165464994824e-01 9.519027478944671605e-01 1.032361149755568919e+00 1.030453042005445630e+00 
+5.100000000000000000e+02 2.735218176741894824e-01 4.906105523852202221e-01 6.715376997017010741e-01 8.057060602454442222e-01 9.515855748733227371e-01 1.032423998955754429e+00 1.030514886608037139e+00 
+5.110000000000000000e+02 2.735297706866952616e-01 4.905989550323609505e-01 6.714534356807881910e-01 8.055122387606399315e-01 9.512704511625955650e-01 1.032486639819252927e+00 1.030576560345264125e+00 
+5.120000000000000000e+02 2.735372236143329694e-01 4.905870396326301730e-01 6.713695689318885940e-01 8.053195291081316487e-01 9.509573005867794082e-01 1.032549038060948998e+00 1.030638022240822904e+00 
+5.130000000000000000e+02 2.735441958509558513e-01 4.905748167447516739e-01 6.712860976806319657e-01 8.051279274629645766e-01 9.506461098231924201e-01 1.032611212961160874e+00 1.030699290239601051e+00 
+5.140000000000000000e+02 2.735507146337293194e-01 4.905623024194272208e-01 6.712030256037903042e-01 8.049374480545413713e-01 9.503369315339417200e-01 1.032673272534216036e+00 1.030760480619972830e+00 
+5.150000000000000000e+02 2.735567821857794457e-01 4.905494982678144100e-01 6.711203503304086215e-01 8.047480903929840057e-01 9.500297807874010791e-01 1.032735295944445797e+00 1.030821671924430749e+00 
+5.160000000000000000e+02 2.735624049691552373e-01 4.905364067914329551e-01 6.710380618464141245e-01 8.045598255719650371e-01 9.497245341852940115e-01 1.032797121234881654e+00 1.030882705466091398e+00 
+5.170000000000000000e+02 2.735675784610745453e-01 4.905230243398348011e-01 6.709561485140015380e-01 8.043726247719755751e-01 9.494210774295048783e-01 1.032858634442769041e+00 1.030943466213062765e+00 
+5.180000000000000000e+02 2.735722975764940390e-01 4.905093482810091166e-01 6.708746066334795310e-01 8.041864857151368451e-01 9.491194075325597446e-01 1.032919875211637972e+00 1.031003987167427027e+00 
+5.190000000000000000e+02 2.735765668530798500e-01 4.904953818046198233e-01 6.707934378736964964e-01 8.040014202031631196e-01 9.488195746845983214e-01 1.032980948312442138e+00 1.031064370172301459e+00 
+5.200000000000000000e+02 2.735804052929588503e-01 4.904811381798864778e-01 6.707126450455912492e-01 8.038174341198158768e-01 9.485216077066881413e-01 1.033041923320118238e+00 1.031124685231477489e+00 
+5.210000000000000000e+02 2.735838201590993224e-01 4.904666211469796977e-01 6.706322231886152618e-01 8.036345169800899191e-01 9.482254759678035994e-01 1.033102786480774693e+00 1.031184923392350461e+00 
+5.220000000000000000e+02 2.735868107975680807e-01 4.904518279948929527e-01 6.705521620122590898e-01 8.034526420023041515e-01 9.479310812823719123e-01 1.033163422592203728e+00 1.031244977274050179e+00 
+5.230000000000000000e+02 2.735893787220103346e-01 4.904367597330950290e-01 6.704724546507504490e-01 8.032717928620467518e-01 9.476383612311581883e-01 1.033223770431099142e+00 1.031304784387375051e+00 
+5.240000000000000000e+02 2.735915173695942504e-01 4.904214115485936998e-01 6.703930978405175933e-01 8.030919694849478763e-01 9.473473324408772100e-01 1.033283883177357865e+00 1.031364385049042154e+00 
+5.250000000000000000e+02 2.735932375389196758e-01 4.904057919968062285e-01 6.703140948522274822e-01 8.029131839169777463e-01 9.470580494071416666e-01 1.033343855913299691e+00 1.031423868567424185e+00 
+5.260000000000000000e+02 2.735945450344767771e-01 4.903899050796013404e-01 6.702354475136585998e-01 8.027354435114993914e-01 9.467705543729264539e-01 1.033403778176960275e+00 1.031483326047319293e+00 
+5.270000000000000000e+02 2.735954782998691881e-01 4.903737751107007381e-01 6.701571572628999274e-01 8.025587413073792531e-01 9.464848273606519813e-01 1.033463643339703086e+00 1.031542753604960838e+00 
+5.280000000000000000e+02 2.735960275380950879e-01 4.903573930530165659e-01 6.700792097178305262e-01 8.023830482664835451e-01 9.462007867889875579e-01 1.033523350954407061e+00 1.031602054001554247e+00 
+5.290000000000000000e+02 2.735961710705153149e-01 4.903407437074298048e-01 6.700015898857971663e-01 8.022083321379509524e-01 9.459183368735309960e-01 1.033582790127576034e+00 1.031661120541993881e+00 
+5.300000000000000000e+02 2.735959119562231256e-01 4.903238307187951506e-01 6.699242959473078463e-01 8.020345872146046329e-01 9.456374594961786118e-01 1.033641948433161151e+00 1.031719940297270321e+00 
+5.310000000000000000e+02 2.735952482137604114e-01 4.903066548598430940e-01 6.698473304957318630e-01 8.018618232685743585e-01 9.453581970476335750e-01 1.033700897812967368e+00 1.031778577781737427e+00 
+5.320000000000000000e+02 2.735942034504317832e-01 4.902892313317377404e-01 6.697706981501703183e-01 8.016900494528289567e-01 9.450805807552187243e-01 1.033759679183382296e+00 1.031837073512964054e+00 
+5.330000000000000000e+02 2.735927931008101943e-01 4.902715679259921910e-01 6.696943969322087797e-01 8.015192628265362940e-01 9.448046138945371819e-01 1.033818310875371571e+00 1.031895447467995330e+00 
+5.340000000000000000e+02 2.735910189346132948e-01 4.902536649276260095e-01 6.696184222881129688e-01 8.013494543802760495e-01 9.445302879625128156e-01 1.033876801631639086e+00 1.031953709917721618e+00 
+5.350000000000000000e+02 2.735888753010145003e-01 4.902355199465114333e-01 6.695427688884105777e-01 8.011806140727262271e-01 9.442575930211131174e-01 1.033935160847551771e+00 1.032011868047196135e+00 
+5.360000000000000000e+02 2.735863623619765872e-01 4.902171335812864350e-01 6.694674333240944186e-01 8.010127342118903426e-01 9.439865191127310151e-01 1.033993391259220962e+00 1.032069921509926713e+00 
+5.370000000000000000e+02 2.735834866892480899e-01 4.901985100635412596e-01 6.693924128415639219e-01 8.008458064631747142e-01 9.437170491190685073e-01 1.034051478959089332e+00 1.032127854466171835e+00 
+5.380000000000000000e+02 2.735802592442310721e-01 4.901796555863114913e-01 6.693177040770933450e-01 8.006798205262891654e-01 9.434491545393017820e-01 1.034109389637778431e+00 1.032185631703119943e+00 
+5.390000000000000000e+02 2.735766866429142907e-01 4.901605735278069531e-01 6.692433029279027945e-01 8.005147660582521141e-01 9.431828093175695926e-01 1.034167093517247338e+00 1.032243224684473715e+00 
+5.400000000000000000e+02 2.735727702971094688e-01 4.901412646712008381e-01 6.691692056889596563e-01 8.003506352239838639e-01 9.429179990826499491e-01 1.034224578881313805e+00 1.032300626115825848e+00 
+5.410000000000000000e+02 2.735685083582424237e-01 4.901217282816441867e-01 6.690954094462017165e-01 8.001874227162031339e-01 9.426547206084904262e-01 1.034281851028574950e+00 1.032357841919198105e+00 
+5.420000000000000000e+02 2.735639026281361796e-01 4.901019663515778779e-01 6.690219132620639497e-01 8.000251272705849459e-01 9.423929868544723698e-01 1.034338943319685455e+00 1.032414904011272450e+00 
+5.430000000000000000e+02 2.735589559114536828e-01 4.900819811403356319e-01 6.689487151674315957e-01 7.998637456175846649e-01 9.421327990114409801e-01 1.034395870530814721e+00 1.032471822294100949e+00 
+5.440000000000000000e+02 2.735536798362322441e-01 4.900617805392356585e-01 6.688758160977814615e-01 7.997032784572986053e-01 9.418741692460044224e-01 1.034452651305972415e+00 1.032528616273536759e+00 
+5.450000000000000000e+02 2.735480634345522355e-01 4.900413562210342300e-01 6.688032090592785917e-01 7.995437152752533638e-01 9.416170920671282918e-01 1.034509316915960264e+00 1.032585316142522469e+00 
+5.460000000000000000e+02 2.735421475188638540e-01 4.900207355289419864e-01 6.687308995474814388e-01 7.993850569221342406e-01 9.413615594921065366e-01 1.034565854860675316e+00 1.032641918612365428e+00 
+5.470000000000000000e+02 2.735359019618400778e-01 4.899998973554210990e-01 6.686588770346147959e-01 7.992272890641713978e-01 9.411075640975046230e-01 1.034622292362180396e+00 1.032698436040476730e+00 
+5.480000000000000000e+02 2.735293315800466085e-01 4.899788455725518355e-01 6.685871360735974323e-01 7.990703920528174908e-01 9.408550331740772599e-01 1.034678499937916163e+00 1.032754738185776455e+00 
+5.490000000000000000e+02 2.735224582059100351e-01 4.899575933277787732e-01 6.685156732338944918e-01 7.989143479492808453e-01 9.406038893195850514e-01 1.034734346194823518e+00 1.032810708007734002e+00 
+5.500000000000000000e+02 2.735152775346701426e-01 4.899361370830681017e-01 6.684444844161894217e-01 7.987591522101998853e-01 9.403541360911322755e-01 1.034789876860606084e+00 1.032866398402239483e+00 
+5.510000000000000000e+02 2.735077851960723283e-01 4.899144738226411389e-01 6.683735711927100143e-01 7.986048146928552693e-01 9.401058339174683809e-01 1.034845209944939670e+00 1.032921921615373551e+00 
+5.520000000000000000e+02 2.734999808354912632e-01 4.898926073209368126e-01 6.683029373931825834e-01 7.984513508352910627e-01 9.398590549346185208e-01 1.034900475660592400e+00 1.032977394920342018e+00 
+5.530000000000000000e+02 2.734918747776880488e-01 4.898705456713247086e-01 6.682325861805261669e-01 7.982987666564911322e-01 9.396138296863061345e-01 1.034955738058883190e+00 1.033032873043052025e+00 
+5.540000000000000000e+02 2.734834806017870101e-01 4.898482959614754439e-01 6.681625155350083833e-01 7.981470517484378080e-01 9.393701271324640389e-01 1.035010967125941095e+00 1.033088324857481810e+00 
+5.550000000000000000e+02 2.734748077771165797e-01 4.898258623274236445e-01 6.680927204081763549e-01 7.979961909817910870e-01 9.391279063288406892e-01 1.035066122544997302e+00 1.033143715157120557e+00 
+5.560000000000000000e+02 2.734658565731794555e-01 4.898032451232848805e-01 6.680231934469418320e-01 7.978461644595022939e-01 9.388871097622641937e-01 1.035121146187134133e+00 1.033198987457179863e+00 
+5.570000000000000000e+02 2.734566255311406957e-01 4.897804422550109393e-01 6.679539305231330104e-01 7.976969623724545766e-01 9.386477134200987837e-01 1.035175990054178596e+00 1.033254098633759943e+00 
+5.580000000000000000e+02 2.734471016246520225e-01 4.897574464718045251e-01 6.678849252097932565e-01 7.975485728208872027e-01 9.384097005528286850e-01 1.035230678843108043e+00 1.033309067123235225e+00 
+5.590000000000000000e+02 2.734373403734000618e-01 4.897342938627338160e-01 6.678161842964684958e-01 7.974009918410057685e-01 9.381730190613808418e-01 1.035285085942740269e+00 1.033363780439128021e+00 
+5.600000000000000000e+02 2.734273197126560473e-01 4.897109685774568844e-01 6.677476969113214089e-01 7.972542004390733572e-01 9.379376193929245265e-01 1.035339169151147765e+00 1.033418200485614724e+00 
+5.610000000000000000e+02 2.734170144147928250e-01 4.896874541943320169e-01 6.676794580256103506e-01 7.971081964420836385e-01 9.377035198053719212e-01 1.035392995969226293e+00 1.033472388462918445e+00 
+5.620000000000000000e+02 2.734064226825546617e-01 4.896637528886029211e-01 6.676114700238846567e-01 7.969629872976516927e-01 9.374707598803614372e-01 1.035446651644107874e+00 1.033526420172826477e+00 
+5.630000000000000000e+02 2.733955657552897267e-01 4.896398797266905412e-01 6.675437378565701740e-01 7.968185797474842680e-01 9.372393634483495717e-01 1.035500171062558428e+00 1.033580330044527651e+00 
+5.640000000000000000e+02 2.733844553803639887e-01 4.896158411655630593e-01 6.674762611305942173e-01 7.966749721138013385e-01 9.370093297947855726e-01 1.035553586131481962e+00 1.033634149813047909e+00 
+5.650000000000000000e+02 2.733731007246438249e-01 4.895916400134736612e-01 6.674090374951658911e-01 7.965321573235270014e-01 9.367806417463446778e-01 1.035606889541358822e+00 1.033687872627933269e+00 
+5.660000000000000000e+02 2.733614995713152807e-01 4.895672767536539682e-01 6.673420652002369780e-01 7.963901309098553316e-01 9.365532903911772955e-01 1.035660076898160975e+00 1.033741499634917682e+00 
+5.670000000000000000e+02 2.733496723111303872e-01 4.895427631917866340e-01 6.672753384537337684e-01 7.962488711482391679e-01 9.363272056680769229e-01 1.035713065507845032e+00 1.033794939102826937e+00 
+5.680000000000000000e+02 2.733375899490287919e-01 4.895180827777441679e-01 6.672088520832539782e-01 7.961083712638656884e-01 9.361023685301499420e-01 1.035765814681686603e+00 1.033848149522282212e+00 
+5.690000000000000000e+02 2.733252539063962816e-01 4.894932387149394937e-01 6.671426144321576102e-01 7.959686587233235633e-01 9.358788976207098598e-01 1.035818565638350508e+00 1.033901375506922626e+00 
+5.700000000000000000e+02 2.733126969756588531e-01 4.894682519369243368e-01 6.670766290232909013e-01 7.958297358164029278e-01 9.356568446348122459e-01 1.035871509623824460e+00 1.033954789628486415e+00 
+5.710000000000000000e+02 2.732999350178176856e-01 4.894431296574945356e-01 6.670108858217086434e-01 7.956915660008710978e-01 9.354360433219158777e-01 1.035924268025165240e+00 1.034008027588005918e+00 
+5.720000000000000000e+02 2.732869377428728264e-01 4.894178478975280133e-01 6.669453599630588148e-01 7.955540842704987847e-01 9.352162408013808825e-01 1.035976420778416340e+00 1.034060701863180665e+00 
+5.730000000000000000e+02 2.732736906398117727e-01 4.893923984877489586e-01 6.668800450116226797e-01 7.954172765743654505e-01 9.349973868028566004e-01 1.036027910799594887e+00 1.034112760203300230e+00 
+5.740000000000000000e+02 2.732601930890566910e-01 4.893667845655444437e-01 6.668149553665769780e-01 7.952811909970293192e-01 9.347797009283230762e-01 1.036079179092174618e+00 1.034164613136735467e+00 
+5.750000000000000000e+02 2.732464919812181980e-01 4.893410422133154247e-01 6.667501205982375723e-01 7.951459002411894739e-01 9.345634575617729478e-01 1.036130689958645990e+00 1.034216701323870558e+00 
+5.760000000000000000e+02 2.732326131775731359e-01 4.893151871377620088e-01 6.666855482430171786e-01 7.950114206362930425e-01 9.343487290437786363e-01 1.036182624695399346e+00 1.034269191549551659e+00 
+5.770000000000000000e+02 2.732185434531806956e-01 4.892892067028765113e-01 6.666212159220324951e-01 7.948776965852252241e-01 9.341353385653801134e-01 1.036234657502612899e+00 1.034321767078664855e+00 
+5.780000000000000000e+02 2.732042600551146672e-01 4.892630833020442660e-01 6.665570980739450313e-01 7.947446555219357389e-01 9.339230115811356647e-01 1.036286308168006265e+00 1.034373988845013193e+00 
+5.790000000000000000e+02 2.731897503200256261e-01 4.892368082054660561e-01 6.664931797653741441e-01 7.946122536165218797e-01 9.337115847199419782e-01 1.036337343407877976e+00 1.034425636362537926e+00 
+5.800000000000000000e+02 2.731750263251779276e-01 4.892103906524055690e-01 6.664294689412005868e-01 7.944805084832934350e-01 9.335011232733334552e-01 1.036387875089057165e+00 1.034476809968976507e+00 
+5.810000000000000000e+02 2.731600996852035501e-01 4.891838396969200864e-01 6.663659762491372929e-01 7.943494522159497695e-01 9.332917566645100305e-01 1.036438142545206942e+00 1.034527739243433331e+00 
+5.820000000000000000e+02 2.731449878240086448e-01 4.891571689920233834e-01 6.663027137367563135e-01 7.942191183204692084e-01 9.330836127883197495e-01 1.036488368954388006e+00 1.034578628925997279e+00 
+5.830000000000000000e+02 2.731296857986058590e-01 4.891303753655421582e-01 6.662396854990525474e-01 7.940895244517368612e-01 9.328767812025606787e-01 1.036538760643667345e+00 1.034629678185678525e+00 
+5.840000000000000000e+02 2.731142114819874456e-01 4.891034717505031160e-01 6.661768932264144905e-01 7.939606737177646867e-01 9.326712856057481904e-01 1.036589361436951240e+00 1.034680934355638682e+00 
+5.850000000000000000e+02 2.730985630533204755e-01 4.890764554616466309e-01 6.661143213338651670e-01 7.938325179212843974e-01 9.324669571181058991e-01 1.036639878130414472e+00 1.034732117015950026e+00 
+5.860000000000000000e+02 2.730827409572769704e-01 4.890493218754032867e-01 6.660519514004012986e-01 7.937049990637107255e-01 9.322635960574634506e-01 1.036689998951525027e+00 1.034782923050365344e+00 
+5.870000000000000000e+02 2.730667225359286743e-01 4.890220564435271422e-01 6.659897755925190399e-01 7.935780993875040101e-01 9.320611376453529218e-01 1.036739620709615561e+00 1.034833260274429012e+00 
+5.880000000000000000e+02 2.730505075292902761e-01 4.889946609324493654e-01 6.659277955353726242e-01 7.934518261433582964e-01 9.318596171925966898e-01 1.036788805760960885e+00 1.034883189371087919e+00 
+5.890000000000000000e+02 2.730341144087043426e-01 4.889671489077783706e-01 6.658660251535070129e-01 7.933262164599129695e-01 9.316591762454985437e-01 1.036837807744295237e+00 1.034932939511609140e+00 
+5.900000000000000000e+02 2.730175779668763680e-01 4.889395464830839644e-01 6.658044890866989807e-01 7.932013348762194660e-01 9.314600459791811948e-01 1.036887032118121610e+00 1.034982897918616196e+00 
+5.910000000000000000e+02 2.730008996467059301e-01 4.889118561188978140e-01 6.657431924247555477e-01 7.930771994276422099e-01 9.312623108432493968e-01 1.036936625328643835e+00 1.035033200732621728e+00 
+5.920000000000000000e+02 2.729841006316969798e-01 4.888840856864568041e-01 6.656821145373178483e-01 7.929537408197360193e-01 9.310657255708210123e-01 1.036986198533232040e+00 1.035083488239853855e+00 
+5.930000000000000000e+02 2.729671275578452461e-01 4.888562001442061655e-01 6.656212191737956863e-01 7.928308672389527967e-01 9.308700029365918338e-01 1.037035317701838322e+00 1.035133341632889392e+00 
+5.940000000000000000e+02 2.729499666357483312e-01 4.888281885741208588e-01 6.655604976108705495e-01 7.927085563300093618e-01 9.306750722940705378e-01 1.037083838560119098e+00 1.035182632748731013e+00 
+5.950000000000000000e+02 2.729326232274603692e-01 4.888000568574518145e-01 6.654999596905731840e-01 7.925868396886014411e-01 9.304810492954153078e-01 1.037131953774830917e+00 1.035231549668500506e+00 
+5.960000000000000000e+02 2.729151394994691060e-01 4.887718341291424351e-01 6.654396263586491722e-01 7.924657636209122558e-01 9.302880729993903142e-01 1.037179875167559162e+00 1.035280291995884339e+00 
+5.970000000000000000e+02 2.728975285900931969e-01 4.887435282264538938e-01 6.653795043371520945e-01 7.923453463032488209e-01 9.300962153560451418e-01 1.037227738695744694e+00 1.035328982648247464e+00 
+5.980000000000000000e+02 2.728797845707426895e-01 4.887151367197087315e-01 6.653195944403327289e-01 7.922255944090278446e-01 9.299055248889041003e-01 1.037275667868295947e+00 1.035377730224845472e+00 
+5.990000000000000000e+02 2.728619062075907098e-01 4.886866597158594505e-01 6.652598944419104710e-01 7.921065013267276633e-01 9.297159990765134774e-01 1.037323697809027889e+00 1.035426560853709210e+00 
+6.000000000000000000e+02 2.728439017045851123e-01 4.886581011976355304e-01 6.652003984085788080e-01 7.919880442861867431e-01 9.295275645340830284e-01 1.037371702303752974e+00 1.035475354405631432e+00 
+6.010000000000000000e+02 2.728257700831597243e-01 4.886294607691297198e-01 6.651410963865341808e-01 7.918701935857610508e-01 9.293401237598807318e-01 1.037419514003028453e+00 1.035523958905494091e+00 
+6.020000000000000000e+02 2.728075216738947151e-01 4.886007455548854184e-01 6.650819936219061201e-01 7.917529605668084391e-01 9.291537160337665080e-01 1.037467194389325664e+00 1.035572429974669140e+00 
+6.030000000000000000e+02 2.727891464737061678e-01 4.885719496853681565e-01 6.650230843084090626e-01 7.916363358152395113e-01 9.289683261133645509e-01 1.037514733033381598e+00 1.035620774614670392e+00 
+6.040000000000000000e+02 2.727706370152121473e-01 4.885430654346008539e-01 6.649643502582095467e-01 7.915202726461558758e-01 9.287838188713428700e-01 1.037561935529279777e+00 1.035668811947085599e+00 
+6.050000000000000000e+02 2.727520031969479786e-01 4.885140981334715748e-01 6.649057953679909927e-01 7.914047757496024404e-01 9.286002112727614888e-01 1.037608810663557923e+00 1.035716538489246386e+00 
+6.060000000000000000e+02 2.727332475574006931e-01 4.884850516892742522e-01 6.648474274573031861e-01 7.912898658991676104e-01 9.284175679965082084e-01 1.037655464362067681e+00 1.035764058314794012e+00 
+6.070000000000000000e+02 2.727143801228616438e-01 4.884559338144166540e-01 6.647892503433644462e-01 7.911755512427827153e-01 9.282359264299852031e-01 1.037701984299820079e+00 1.035811450141189693e+00 
+6.080000000000000000e+02 2.726954115064252337e-01 4.884267511173441823e-01 6.647312674059207005e-01 7.910618403052849246e-01 9.280553235828042924e-01 1.037748434087084393e+00 1.035858768560204979e+00 
+6.090000000000000000e+02 2.726763407221057256e-01 4.883975038674733260e-01 6.646734759206438525e-01 7.909487273656641282e-01 9.278757559257614362e-01 1.037794827199280068e+00 1.035906022938249960e+00 
+6.100000000000000000e+02 2.726571682884774139e-01 4.883681922483050220e-01 6.646158714668777279e-01 7.908361985857468301e-01 9.276971847738010313e-01 1.037841103277294952e+00 1.035953159235453835e+00 
+6.110000000000000000e+02 2.726378932848009251e-01 4.883388147004324442e-01 6.645584495910100697e-01 7.907242403611498549e-01 9.275195697035115705e-01 1.037887206554366060e+00 1.036000129889778520e+00 
+6.120000000000000000e+02 2.726185172579987381e-01 4.883093725301481114e-01 6.645012081023994321e-01 7.906128454029748287e-01 9.273428936492049690e-01 1.037933119759144818e+00 1.036046920970442820e+00 
+6.130000000000000000e+02 2.725990398533701953e-01 4.882798653566935432e-01 6.644441418417559309e-01 7.905019969815908487e-01 9.271670973288119733e-01 1.037978739689479291e+00 1.036093436399116108e+00 
+6.140000000000000000e+02 2.725794760069510381e-01 4.882503026181898576e-01 6.643872566809057023e-01 7.903917106191601372e-01 9.269922413773584724e-01 1.038024163252639687e+00 1.036139756904378650e+00 
+6.150000000000000000e+02 2.725598083015658979e-01 4.882206746403802700e-01 6.643305532356443832e-01 7.902819986399568508e-01 9.268184044892693318e-01 1.038069598559249185e+00 1.036186075276448015e+00 
+6.160000000000000000e+02 2.725400805391126058e-01 4.881910106683453043e-01 6.642740383013389094e-01 7.901728579815444631e-01 9.266455474703655382e-01 1.038114906113257074e+00 1.036232275097793920e+00 
+6.170000000000000000e+02 2.725202612121014334e-01 4.881612875082875225e-01 6.642176997199360500e-01 7.900642686213280586e-01 9.264736202223939898e-01 1.038160029781772575e+00 1.036278304207672418e+00 
+6.180000000000000000e+02 2.725003511154859281e-01 4.881315078342003400e-01 6.641615375850572489e-01 7.899562315047843342e-01 9.263026451854359244e-01 1.038205036835637918e+00 1.036324218034624378e+00 
+6.190000000000000000e+02 2.724803405016940627e-01 4.881016659232044752e-01 6.641055491809556566e-01 7.898487417117128206e-01 9.261326358777308698e-01 1.038250013658052362e+00 1.036370090149133949e+00 
+6.200000000000000000e+02 2.724602882355061095e-01 4.880717985304599549e-01 6.640497414279177280e-01 7.897417946600868710e-01 9.259635440641399429e-01 1.038294808123779722e+00 1.036415784307410215e+00 
+6.210000000000000000e+02 2.724401789610816915e-01 4.880418930290224000e-01 6.639941055152974725e-01 7.896353751899174434e-01 9.257953335800258587e-01 1.038339378804517432e+00 1.036461264109344471e+00 
+6.220000000000000000e+02 2.724199961813373871e-01 4.880119396498034945e-01 6.639386377078296819e-01 7.895294786065419901e-01 9.256279969309486599e-01 1.038383720151170531e+00 1.036506525216080332e+00 
+6.230000000000000000e+02 2.723997325510176815e-01 4.879819368097897403e-01 6.638833385665952047e-01 7.894241064177860423e-01 9.254615460376472980e-01 1.038427857319204728e+00 1.036551588621539510e+00 
+6.240000000000000000e+02 2.723793950171544687e-01 4.879518908797225163e-01 6.638282107575529389e-01 7.893192628858199944e-01 9.252959999545611325e-01 1.038471830890954184e+00 1.036596489564016732e+00 
+6.250000000000000000e+02 2.723589971158525413e-01 4.879218088961412292e-01 6.637732560704170393e-01 7.892149497160964033e-01 9.251313728570041972e-01 1.038515680403928831e+00 1.036641265231778908e+00 
+6.260000000000000000e+02 2.723385468750437188e-01 4.878916954847778431e-01 6.637184739084445173e-01 7.891111653852658225e-01 9.249676686578567342e-01 1.038559431570156955e+00 1.036685941613570971e+00 
+6.270000000000000000e+02 2.723180444966972757e-01 4.878615503671369646e-01 6.636638625253297175e-01 7.890079043939599579e-01 9.248048797063201931e-01 1.038603087547666837e+00 1.036730522889828032e+00 
+6.280000000000000000e+02 2.722974883312321293e-01 4.878313732982537121e-01 6.636094201755113886e-01 7.889051624896683546e-01 9.246430021930105436e-01 1.038646656375116661e+00 1.036775016240758962e+00 
+6.290000000000000000e+02 2.722768766091627213e-01 4.878011631835759143e-01 6.635551441173915821e-01 7.888029320122776911e-01 9.244820197794922922e-01 1.038690126941622216e+00 1.036819407979103103e+00 
+6.300000000000000000e+02 2.722562209347062501e-01 4.877709281216275894e-01 6.635010331877674306e-01 7.887012025842594642e-01 9.243218863233803040e-01 1.038733390693286518e+00 1.036863597336183052e+00 
+6.310000000000000000e+02 2.722355192324808493e-01 4.877406651353330402e-01 6.634470835909813680e-01 7.885999645364998312e-01 9.241625733205199866e-01 1.038776400525866839e+00 1.036907541129186816e+00 
+6.320000000000000000e+02 2.722147673344136320e-01 4.877103716646284393e-01 6.633932925893309962e-01 7.884992128271812728e-01 9.240040713791295435e-01 1.038819151055470291e+00 1.036951236624426231e+00 
+6.330000000000000000e+02 2.721939732341790985e-01 4.876800546813231385e-01 6.633396641086910517e-01 7.883989549136846131e-01 9.238464069681696644e-01 1.038861683183530005e+00 1.036994719072475313e+00 
+6.340000000000000000e+02 2.721731319176808328e-01 4.876497120092131432e-01 6.632862001699320054e-01 7.882991986917399219e-01 9.236896190916275007e-01 1.038904094599109040e+00 1.037038079207535546e+00 
+6.350000000000000000e+02 2.721522561910760252e-01 4.876193515505068965e-01 6.632329029064510939e-01 7.881999473597082195e-01 9.235337266758580910e-01 1.038946432706821854e+00 1.037081363961607661e+00 
+6.360000000000000000e+02 2.721313512802414625e-01 4.875889775386774150e-01 6.631797712213320928e-01 7.881011963895852013e-01 9.233787243020780133e-01 1.038988706182578881e+00 1.037124582493252678e+00 
+6.370000000000000000e+02 2.721104182430918450e-01 4.875585892800559651e-01 6.631268021126915935e-01 7.880029372358096085e-01 9.232245911367842339e-01 1.039030893735408245e+00 1.037167714625086390e+00 
+6.380000000000000000e+02 2.720894555521515268e-01 4.875281855258891128e-01 6.630739932887612653e-01 7.879051640355081432e-01 9.230713162916658332e-01 1.039072993014280799e+00 1.037210760503703311e+00 
+6.390000000000000000e+02 2.720684672966006135e-01 4.874977700788527546e-01 6.630213433335668816e-01 7.878078683460919551e-01 9.229188683509216284e-01 1.039114948321103515e+00 1.037253662416842692e+00 
+6.400000000000000000e+02 2.720474385964431474e-01 4.874673325260569512e-01 6.629688458105422733e-01 7.877110363407883176e-01 9.227672127622261744e-01 1.039156699253607430e+00 1.037296356705459832e+00 
+6.410000000000000000e+02 2.720263927459061204e-01 4.874368878536098904e-01 6.629165034533707201e-01 7.876146676402946412e-01 9.226163410105197027e-01 1.039198225913561036e+00 1.037338830729081174e+00 
+6.420000000000000000e+02 2.720053343699295190e-01 4.874064392263043333e-01 6.628643159273435170e-01 7.875187604845856892e-01 9.224662517659549810e-01 1.039239527185199741e+00 1.037381086765189586e+00 
+6.430000000000000000e+02 2.719842594331983721e-01 4.873759831593474368e-01 6.628122830902588580e-01 7.874233167701792935e-01 9.223169579124314010e-01 1.039280632417818762e+00 1.037423152473436971e+00 
+6.440000000000000000e+02 2.719631639982057481e-01 4.873455200860466463e-01 6.627604059372116385e-01 7.873283399722812437e-01 9.221684794869460244e-01 1.039321592363840585e+00 1.037465074255524700e+00 
+6.450000000000000000e+02 2.719420511158149867e-01 4.873150517155662165e-01 6.627086855638182339e-01 7.872338324629084561e-01 9.220208321099866433e-01 1.039362453983037282e+00 1.037506895149915787e+00 
+6.460000000000000000e+02 2.719209262210441902e-01 4.872845821908153296e-01 6.626571222180747123e-01 7.871397925806656870e-01 9.218740172357595686e-01 1.039403237758953047e+00 1.037548634129503045e+00 
+6.470000000000000000e+02 2.718997936826511030e-01 4.872541137297777269e-01 6.626057143070983591e-01 7.870462144388263859e-01 9.217280214592977750e-01 1.039443931500481089e+00 1.037590280008358290e+00 
+6.480000000000000000e+02 2.718786558474175497e-01 4.872236478966076589e-01 6.625544589659326800e-01 7.869530896174471435e-01 9.215828221452694313e-01 1.039484500759614072e+00 1.037631801015127309e+00 
+6.490000000000000000e+02 2.718575092495509327e-01 4.871931814847760833e-01 6.625033505332237338e-01 7.868604022991576574e-01 9.214383715389541374e-01 1.039524862118347714e+00 1.037673123608926051e+00 
+6.500000000000000000e+02 2.718363564716387293e-01 4.871627163811675931e-01 6.624523879053380027e-01 7.867681473339841469e-01 9.212946523328336967e-01 1.039564977871429319e+00 1.037714209826710698e+00 
+6.510000000000000000e+02 2.718151969104690702e-01 4.871322531614765694e-01 6.624015737590704944e-01 7.866763319304137525e-01 9.211516923308930016e-01 1.039604911077411487e+00 1.037755112106850675e+00 
+6.520000000000000000e+02 2.717940376874034558e-01 4.871017976790857351e-01 6.623509113633818668e-01 7.865849627575940417e-01 9.210095180567335893e-01 1.039644718440577043e+00 1.037795883712235856e+00 
+6.530000000000000000e+02 2.717728855181565928e-01 4.870713538343043880e-01 6.623004013649108623e-01 7.864940407255945898e-01 9.208681387130178697e-01 1.039684426516795934e+00 1.037836552477330754e+00 
+6.540000000000000000e+02 2.717517421115758780e-01 4.870409225777445617e-01 6.622500428537747563e-01 7.864035617898595953e-01 9.207275463197082122e-01 1.039724031418085559e+00 1.037877116975672864e+00 
+6.550000000000000000e+02 2.717306068503722027e-01 4.870105039944807035e-01 6.621998333707197482e-01 7.863135191783261480e-01 9.205877246662332869e-01 1.039763513274894136e+00 1.037917558683161268e+00 
+6.560000000000000000e+02 2.717094785257470058e-01 4.869800968336764901e-01 6.621497709450300251e-01 7.862239065681193573e-01 9.204486572176283632e-01 1.039802851321013133e+00 1.037957857028575459e+00 
+6.570000000000000000e+02 2.716883575653236682e-01 4.869497027931245503e-01 6.620998543087636135e-01 7.861347194049534970e-01 9.203103326689745511e-01 1.039842032328969212e+00 1.037997998639627717e+00 
+6.580000000000000000e+02 2.716672483608405519e-01 4.869193240653324484e-01 6.620500834789448952e-01 7.860459573354442453e-01 9.201727568982713823e-01 1.039881077198099746e+00 1.038038002332193344e+00 
+6.590000000000000000e+02 2.716461602938473607e-01 4.868889668338437504e-01 6.620004599458469974e-01 7.859576205981215757e-01 9.200359308095650279e-01 1.039919991689256973e+00 1.038077874609300899e+00 
+6.600000000000000000e+02 2.716250777491251989e-01 4.868586219491533029e-01 6.619509792679850735e-01 7.858697015688410614e-01 9.198998358318463131e-01 1.039958746410727830e+00 1.038117588793536328e+00 
+6.610000000000000000e+02 2.716040059738892842e-01 4.868282922378934785e-01 6.619016414505314305e-01 7.857821962912351355e-01 9.197644623924138285e-01 1.039997328323428505e+00 1.038157133274404842e+00 
+6.620000000000000000e+02 2.715829536646487963e-01 4.867979841472155900e-01 6.618524466221087366e-01 7.856951031018301057e-01 9.196298087943718391e-01 1.040035743392324186e+00 1.038196512896801149e+00 
+6.630000000000000000e+02 2.715619309503559120e-01 4.867677044148122634e-01 6.618033985138068731e-01 7.856084304130197538e-01 9.194959085698929391e-01 1.040074063939626425e+00 1.038235790489968391e+00 
+6.640000000000000000e+02 2.715409356975072019e-01 4.867374514812851105e-01 6.617544963476427178e-01 7.855221757132840876e-01 9.193627584065801051e-01 1.040112284359444139e+00 1.038274964847104131e+00 
+6.650000000000000000e+02 2.715199686291474013e-01 4.867072253066828669e-01 6.617057347049201121e-01 7.854363215006588961e-01 9.192303029424486738e-01 1.040150311539914663e+00 1.038313953693855485e+00 
+6.660000000000000000e+02 2.714990243091053856e-01 4.866770225062047039e-01 6.616571102821261485e-01 7.853508614352885386e-01 9.190985285554820194e-01 1.040188132455668102e+00 1.038352743736854489e+00 
+6.670000000000000000e+02 2.714781009667636136e-01 4.866468433647855307e-01 6.616086246590534570e-01 7.852657987984260624e-01 9.189674515735946070e-01 1.040225789294164649e+00 1.038391371537398911e+00 
+6.680000000000000000e+02 2.714572042557890086e-01 4.866166918219686499e-01 6.615602800977646858e-01 7.851811383591208449e-01 9.188370906493440460e-01 1.040263324940071232e+00 1.038429875026226634e+00 
+6.690000000000000000e+02 2.714363417534170209e-01 4.865865730247096455e-01 6.615120782883802120e-01 7.850968825789870209e-01 9.187074607553168404e-01 1.040300782338686947e+00 1.038468297900390969e+00 
+6.700000000000000000e+02 2.714155069223889161e-01 4.865564822936470635e-01 6.614640165984382314e-01 7.850130267474618728e-01 9.185785617172997908e-01 1.040338206045077207e+00 1.038506669735587362e+00 
+6.710000000000000000e+02 2.713947315150060380e-01 4.865264404140902665e-01 6.614160986362254135e-01 7.849295658430759381e-01 9.184503533387683438e-01 1.040375460150643638e+00 1.038544867368374369e+00 
+6.720000000000000000e+02 2.713740008030446349e-01 4.864964372094372491e-01 6.613683159469161410e-01 7.848464816295341873e-01 9.183227737161788751e-01 1.040412405397280526e+00 1.038582773557122696e+00 
+6.730000000000000000e+02 2.713532897925081677e-01 4.864664563910445216e-01 6.613206624634139219e-01 7.847637663546384035e-01 9.181958145210800115e-01 1.040449057069619432e+00 1.038620404573351585e+00 
+6.740000000000000000e+02 2.713325992842619550e-01 4.864365013723359610e-01 6.612731426884904673e-01 7.846814313443074562e-01 9.180695217060557134e-01 1.040485521333486485e+00 1.038657856464386020e+00 
+6.750000000000000000e+02 2.713119410117240116e-01 4.864065806970317429e-01 6.612257635978547876e-01 7.845994910816729284e-01 9.179439505816380240e-01 1.040521928143668617e+00 1.038695244527462869e+00 
+6.760000000000000000e+02 2.712913273300687766e-01 4.863767020962447840e-01 6.611785280104433005e-01 7.845179508884623232e-01 9.178191255390054648e-01 1.040558346534906864e+00 1.038732627418975207e+00 
+6.770000000000000000e+02 2.712707642770711969e-01 4.863468686696303389e-01 6.611314338344252972e-01 7.844368028951248517e-01 9.176950242453079110e-01 1.040594744040355124e+00 1.038769972766287797e+00 
+6.780000000000000000e+02 2.712502532664470833e-01 4.863170794396371455e-01 6.610844760151730615e-01 7.843560311456843070e-01 9.175715950806621057e-01 1.040631018438843869e+00 1.038807188089093225e+00 
+6.790000000000000000e+02 2.712297900888684388e-01 4.862873329289438828e-01 6.610376497892415104e-01 7.842756217227614401e-01 9.174487922036366205e-01 1.040667072871720000e+00 1.038844188606709240e+00 
+6.800000000000000000e+02 2.712093736369626251e-01 4.862576283014059531e-01 6.609909534049703828e-01 7.841955694368953900e-01 9.173266006770105507e-01 1.040702875543274120e+00 1.038880949051266711e+00 
+6.810000000000000000e+02 2.711890033352354901e-01 4.862279664715869476e-01 6.609443884114989398e-01 7.841158780425301345e-01 9.172050372699277476e-01 1.040738465630739906e+00 1.038917506740970609e+00 
+6.820000000000000000e+02 2.711686803399593337e-01 4.861983489785788870e-01 6.608979576502349573e-01 7.840365547793372025e-01 9.170841309643626982e-01 1.040773912750182717e+00 1.038953923941424273e+00 
+6.830000000000000000e+02 2.711484066073324706e-01 4.861687765447103016e-01 6.608516625860392235e-01 7.839576037158889621e-01 9.169639006652298141e-01 1.040809267489491763e+00 1.038990243973146876e+00 
+6.840000000000000000e+02 2.711281846936264839e-01 4.861392522581202691e-01 6.608055031165058768e-01 7.838790229284787747e-01 9.168443445164848882e-01 1.040844537129989034e+00 1.039026471108251304e+00 
+6.850000000000000000e+02 2.711080168381123645e-01 4.861097771305711301e-01 6.607594774233662704e-01 7.838008057618882640e-01 9.167254450587389858e-01 1.040879694575767900e+00 1.039062580096152155e+00 
+6.860000000000000000e+02 2.710879046818893134e-01 4.860803518696224512e-01 6.607135836175267452e-01 7.837229454332171885e-01 9.166071821196701830e-01 1.040914704932497825e+00 1.039098540378019964e+00 
+6.870000000000000000e+02 2.710678499605821412e-01 4.860509776656478653e-01 6.606678203728195697e-01 7.836454370114723789e-01 9.164895430221143835e-01 1.040949547982182866e+00 1.039134335341316717e+00 
+6.880000000000000000e+02 2.710478521826366061e-01 4.860216545678162636e-01 6.606221872673698758e-01 7.835682786299247304e-01 9.163725256530266261e-01 1.040984224643698663e+00 1.039169966982236071e+00 
+6.890000000000000000e+02 2.710279145370069753e-01 4.859923860154573005e-01 6.605766872163704173e-01 7.834914770962988495e-01 9.162561556392876394e-01 1.041018791795458753e+00 1.039205481126116437e+00 
+6.900000000000000000e+02 2.710080344317343792e-01 4.859631702189170510e-01 6.605313192151817114e-01 7.834150307286457116e-01 9.161404337034589895e-01 1.041053260368419275e+00 1.039240890447875598e+00 
+6.910000000000000000e+02 2.709882208005305881e-01 4.859340125417395684e-01 6.604860815690570819e-01 7.833389294270747261e-01 9.160253242703236820e-01 1.041087567011059534e+00 1.039276144574990290e+00 
+6.920000000000000000e+02 2.709684704770466412e-01 4.859049102751125115e-01 6.604409714649488450e-01 7.832631662456588373e-01 9.159108118141011667e-01 1.041121691221269518e+00 1.039311222978162252e+00 
+6.930000000000000000e+02 2.709487817579910862e-01 4.858758640353558200e-01 6.603959902339637811e-01 7.831877444776638164e-01 9.157969089684026009e-01 1.041155661608575311e+00 1.039346145964611390e+00 
+6.940000000000000000e+02 2.709291437808188374e-01 4.858468662690286766e-01 6.603511331702182074e-01 7.831126551356638599e-01 9.156835970895124133e-01 1.041189448540028373e+00 1.039380893969560793e+00 
+6.950000000000000000e+02 2.709095767021188483e-01 4.858179304509278595e-01 6.603064026023294231e-01 7.830378974942820980e-01 9.155708733595022686e-01 1.041223058235596133e+00 1.039415468141684507e+00 
+6.960000000000000000e+02 2.708900793210077818e-01 4.857890565199360355e-01 6.602618031713580748e-01 7.829634833595798815e-01 9.154587755191135878e-01 1.041256571402330078e+00 1.039449935980494955e+00 
+6.970000000000000000e+02 2.708706524179779751e-01 4.857602452340140098e-01 6.602173365801978777e-01 7.828894155734272831e-01 9.153473149429638411e-01 1.041290011048937814e+00 1.039484318242438032e+00 
+6.980000000000000000e+02 2.708512943418147079e-01 4.857314967396419436e-01 6.601730006957968744e-01 7.828156881301648884e-01 9.152364757106287163e-01 1.041323347924956844e+00 1.039518591056481922e+00 
+6.990000000000000000e+02 2.708320039728154272e-01 4.857028101774785722e-01 6.601287921605367703e-01 7.827422916470943015e-01 9.151262327529804397e-01 1.041356540299840150e+00 1.039552719296514827e+00 
+7.000000000000000000e+02 2.708127816368565144e-01 4.856741854789521917e-01 6.600847086342732650e-01 7.826692193929031260e-01 9.150165700730595875e-01 1.041389566809806100e+00 1.039586684826470320e+00 
+7.010000000000000000e+02 2.707936287370144024e-01 4.856456226963943856e-01 6.600407498815356044e-01 7.825964695520549741e-01 9.149074845426646840e-01 1.041422432620739080e+00 1.039620491909477806e+00 
+7.020000000000000000e+02 2.707745463860368740e-01 4.856171228003527962e-01 6.599969153996506632e-01 7.825240393770094283e-01 9.147989684281163658e-01 1.041455126223833183e+00 1.039654130269977328e+00 
+7.030000000000000000e+02 2.707555361324866516e-01 4.855886872896029161e-01 6.599532055292250954e-01 7.824519282858091174e-01 9.146910208407076359e-01 1.041487647314444098e+00 1.039687599627603376e+00 
+7.040000000000000000e+02 2.707365978034594889e-01 4.855603175690754170e-01 6.599096213517329224e-01 7.823801391318337961e-01 9.145836558430513463e-01 1.041520033907905818e+00 1.039720933188041707e+00 
+7.050000000000000000e+02 2.707177306534663819e-01 4.855320123583295455e-01 6.598661607395468476e-01 7.823086669245169489e-01 9.144768648892233065e-01 1.041552278497519968e+00 1.039754124509872257e+00 
+7.060000000000000000e+02 2.706989378718664963e-01 4.855037747662847014e-01 6.598228252448308240e-01 7.822375124418368131e-01 9.143706519417656997e-01 1.041584396953239011e+00 1.039787185751419152e+00 
+7.070000000000000000e+02 2.706802249476440436e-01 4.854756066425456318e-01 6.597796166548188790e-01 7.821666801108433376e-01 9.142650350597082420e-01 1.041616441037598539e+00 1.039820161926202857e+00 
+7.080000000000000000e+02 2.706615935869662870e-01 4.854475114563512328e-01 6.597365365155247741e-01 7.820961706336988506e-01 9.141600143792549815e-01 1.041648410620356957e+00 1.039853053569411712e+00 
+7.090000000000000000e+02 2.706430429531739845e-01 4.854194889664583679e-01 6.596935828868787377e-01 7.820259777033788939e-01 9.140555705700068589e-01 1.041680266760552476e+00 1.039885827580299571e+00 
+7.100000000000000000e+02 2.706245701307713469e-01 4.853915382601338702e-01 6.596507526497465967e-01 7.819560926143942492e-01 9.139516798399733855e-01 1.041711966613045215e+00 1.039918447115352418e+00 
+7.110000000000000000e+02 2.706061842611379720e-01 4.853636645443076825e-01 6.596080519741841508e-01 7.818865273711854691e-01 9.138483777076400472e-01 1.041743584237364795e+00 1.039950971141643699e+00 
+7.120000000000000000e+02 2.705878824587669707e-01 4.853358653964918723e-01 6.595654797651976375e-01 7.818172810658956529e-01 9.137456688984141318e-01 1.041775157265767859e+00 1.039983439416612310e+00 
+7.130000000000000000e+02 2.705696590361428289e-01 4.853081398605275099e-01 6.595230282203803363e-01 7.817483337805555266e-01 9.136435049848748990e-01 1.041806601116379793e+00 1.040015776525140545e+00 
+7.140000000000000000e+02 2.705515113785116332e-01 4.852804831468948699e-01 6.594806914368377404e-01 7.816796714440148452e-01 9.135418451053973765e-01 1.041837826499958153e+00 1.040047904291547365e+00 
+7.150000000000000000e+02 2.705334402631670576e-01 4.852528952207196267e-01 6.594384686616319158e-01 7.816112890804293167e-01 9.134406661842335851e-01 1.041868776584569556e+00 1.040079776228510777e+00 
+7.160000000000000000e+02 2.705154485593998515e-01 4.852253792770041541e-01 6.593963630492453154e-01 7.815431912932616632e-01 9.133399801787136507e-01 1.041899476932793611e+00 1.040111414769788301e+00 
+7.170000000000000000e+02 2.704975385701609558e-01 4.851979379859220343e-01 6.593543789857529980e-01 7.814753894481492047e-01 9.132398289252724455e-01 1.041930029149193526e+00 1.040142905953511887e+00 
+7.180000000000000000e+02 2.704797133193692638e-01 4.851705745877245568e-01 6.593125199571311379e-01 7.814078929433808662e-01 9.131402496800647972e-01 1.041960525094275836e+00 1.040174328921753766e+00 
+7.190000000000000000e+02 2.704619758137872254e-01 4.851432911148773064e-01 6.592707870897525080e-01 7.813407037746208372e-01 9.130412521298305606e-01 1.041990992017185480e+00 1.040205708743926261e+00 
+7.200000000000000000e+02 2.704443282376713942e-01 4.851160903686137504e-01 6.592291800888762099e-01 7.812738172053202979e-01 9.129428135202193317e-01 1.042021375828320107e+00 1.040236997624529591e+00 
+7.210000000000000000e+02 2.704267678991281176e-01 4.850889681848572499e-01 6.591876931034088560e-01 7.812072170077215549e-01 9.128448816135058541e-01 1.042051562015325006e+00 1.040268103052204962e+00 
+7.220000000000000000e+02 2.704092928618575531e-01 4.850619226194727296e-01 6.591463211816053214e-01 7.811408915791981933e-01 9.127474351119340135e-01 1.042081538587335432e+00 1.040299008834861594e+00 
+7.230000000000000000e+02 2.703919016944557052e-01 4.850349540774256951e-01 6.591050664565029082e-01 7.810748468595659633e-01 9.126504960996223437e-01 1.042111359719600783e+00 1.040329756912522052e+00 
+7.240000000000000000e+02 2.703745971318594066e-01 4.850080647569799952e-01 6.590639325645064606e-01 7.810090902188514539e-01 9.125540868102188785e-01 1.042141075903428860e+00 1.040360392338479212e+00 
+7.250000000000000000e+02 2.703573859265971380e-01 4.849812611665775819e-01 6.590229244568914790e-01 7.809436321999349007e-01 9.124582438054279487e-01 1.042170773046509735e+00 1.040390991840042911e+00 
+7.260000000000000000e+02 2.703402681271124819e-01 4.849545423570346125e-01 6.589820410475591972e-01 7.808784693565212764e-01 9.123629576822399612e-01 1.042200433658373671e+00 1.040421545251105417e+00 
+7.270000000000000000e+02 2.703232403749463719e-01 4.849279062968148701e-01 6.589412755420902545e-01 7.808135827040092458e-01 9.122681711281462880e-01 1.042229941465355747e+00 1.040451952095337251e+00 
+7.280000000000000000e+02 2.703063007187499478e-01 4.849013507275816703e-01 6.589006242342161368e-01 7.807489619398759739e-01 9.121738536993044821e-01 1.042259237702551244e+00 1.040482158263509982e+00 
+7.290000000000000000e+02 2.702894478096182218e-01 4.848748760082737252e-01 6.588600875030957704e-01 7.806846070229808143e-01 9.120800066948263618e-01 1.042288331997270223e+00 1.040512168609663446e+00 
+7.300000000000000000e+02 2.702726842743718438e-01 4.848484830039810345e-01 6.588196677616747765e-01 7.806205229090857900e-01 9.119866478494095263e-01 1.042317268929956686e+00 1.040542020921620292e+00 
+7.310000000000000000e+02 2.702560128232114334e-01 4.848221749552527049e-01 6.587793668893722199e-01 7.805567138466718013e-01 9.118937934026490888e-01 1.042346089197243808e+00 1.040571752303703468e+00 
+7.320000000000000000e+02 2.702394349460464085e-01 4.847959527219298237e-01 6.587391855142029629e-01 7.804931811378615913e-01 9.118014489805430500e-01 1.042374809618033416e+00 1.040601379893273837e+00 
+7.330000000000000000e+02 2.702229508902286303e-01 4.847698168555976683e-01 6.586991232190388956e-01 7.804299220983602625e-01 9.117096089709181284e-01 1.042403424973456616e+00 1.040630900294185146e+00 
+7.340000000000000000e+02 2.702065606368772022e-01 4.847437681267352527e-01 6.586591787960448530e-01 7.803669325487865294e-01 9.116182630871020320e-01 1.042431920637304943e+00 1.040660300193714916e+00 
+7.350000000000000000e+02 2.701902635043557654e-01 4.847178051247070241e-01 6.586193509847184657e-01 7.803042085584297460e-01 9.115274017340582180e-01 1.042460284738400134e+00 1.040689567875449972e+00 
+7.360000000000000000e+02 2.701740595830208758e-01 4.846919287455538905e-01 6.585796394205791771e-01 7.802417479369772035e-01 9.114370195796464014e-01 1.042488513722811261e+00 1.040718699219558063e+00 
+7.370000000000000000e+02 2.701579488992588152e-01 4.846661387823505418e-01 6.585400438940872681e-01 7.801795494717060908e-01 9.113471150672056709e-01 1.042516610988283077e+00 1.040747696977351033e+00 
+7.380000000000000000e+02 2.701419332494578995e-01 4.846404366696313581e-01 6.585005645330888058e-01 7.801176127655099490e-01 9.112576881368178450e-01 1.042544581800502579e+00 1.040776566302319184e+00 
+7.390000000000000000e+02 2.701260116764759855e-01 4.846148227812208109e-01 6.584612003355422294e-01 7.800559330925146417e-01 9.111687240062784632e-01 1.042572396188802930e+00 1.040805282539296162e+00 
+7.400000000000000000e+02 2.701101858561699154e-01 4.845892972457352954e-01 6.584219513538591695e-01 7.799945089582704938e-01 9.110802193104805546e-01 1.042600049888631641e+00 1.040833842132881104e+00 
+7.410000000000000000e+02 2.700944544067266917e-01 4.845638601246524124e-01 6.583828179797538427e-01 7.799333431430650609e-01 9.109921888240448684e-01 1.042627588912245384e+00 1.040862282685039109e+00 
+7.420000000000000000e+02 2.700788187554957753e-01 4.845385125834104079e-01 6.583438008148549958e-01 7.798724365910914003e-01 9.109046393557452825e-01 1.042655036383764111e+00 1.040890624142858600e+00 
+7.430000000000000000e+02 2.700632808207931168e-01 4.845132558548541635e-01 6.583048998792273565e-01 7.798117873199953420e-01 9.108175665978980318e-01 1.042682386693158936e+00 1.040918863746029377e+00 
+7.440000000000000000e+02 2.700478397351817050e-01 4.844880904375569175e-01 6.582661144489969640e-01 7.797513921151462135e-01 9.107309597875736795e-01 1.042709621438385748e+00 1.040946986888621195e+00 
+7.450000000000000000e+02 2.700324963910111231e-01 4.844630158365071937e-01 6.582274435634014598e-01 7.796912476391555380e-01 9.106448101522938154e-01 1.042736727493457582e+00 1.040974981388792742e+00 
+7.460000000000000000e+02 2.700172499836293039e-01 4.844380321059447714e-01 6.581888869571521639e-01 7.796313520251045848e-01 9.105591134591511926e-01 1.042763703390893193e+00 1.041002844425505058e+00 
+7.470000000000000000e+02 2.700021011151472750e-01 4.844131396334531159e-01 6.581504444896655315e-01 7.795717042312636513e-01 9.104738694409548749e-01 1.042790554977087503e+00 1.041030580306344211e+00 
+7.480000000000000000e+02 2.699870499541810465e-01 4.843883397650448064e-01 6.581121161609430059e-01 7.795123035169291281e-01 9.103890777649797927e-01 1.042817288044242785e+00 1.041058194392558756e+00 
+7.490000000000000000e+02 2.699720974731638079e-01 4.843636323221668927e-01 6.580739018447708810e-01 7.794531486780189589e-01 9.103047364373171302e-01 1.042843904009267186e+00 1.041085688637182871e+00 
+7.500000000000000000e+02 2.699572436979087442e-01 4.843390186995786828e-01 6.580358011545317520e-01 7.793942378752022337e-01 9.102208416815980030e-01 1.042870399994242137e+00 1.041113060979315996e+00 
+7.510000000000000000e+02 2.699424889236816671e-01 4.843144976105861477e-01 6.579978136422761636e-01 7.793355691223546877e-01 9.101373890090563856e-01 1.042896771639754361e+00 1.041140307623178218e+00 
+7.520000000000000000e+02 2.699278327588041093e-01 4.842900696394221161e-01 6.579599391917115847e-01 7.792771406526382005e-01 9.100543747249324467e-01 1.042923016162705441e+00 1.041167425926025736e+00 
+7.530000000000000000e+02 2.699132752530124524e-01 4.842657355171704481e-01 6.579221776294597035e-01 7.792189512631360060e-01 9.099717961042336212e-01 1.042949133951672991e+00 1.041194416074292084e+00 
+7.540000000000000000e+02 2.698988173644292221e-01 4.842414956684191196e-01 6.578845286051143715e-01 7.791609999173508827e-01 9.098896519330178512e-01 1.042975128260116291e+00 1.041221280895965551e+00 
+7.550000000000000000e+02 2.698844590465949711e-01 4.842173504534023065e-01 6.578469922221837907e-01 7.791032854995054713e-01 9.098079413474322585e-01 1.043001003510369395e+00 1.041248024384724413e+00 
+7.560000000000000000e+02 2.698702007699725902e-01 4.841932997725459931e-01 6.578095683695170948e-01 7.790458070411301339e-01 9.097266630844181856e-01 1.043026763510145560e+00 1.041274649861025026e+00 
+7.570000000000000000e+02 2.698560411837745976e-01 4.841693431765992095e-01 6.577722554571435731e-01 7.789885619289326213e-01 9.096458159249166675e-01 1.043052415132379451e+00 1.041301164086288367e+00 
+7.580000000000000000e+02 2.698419829016161509e-01 4.841454825904969450e-01 6.577350540911846011e-01 7.789315493458239814e-01 9.095653964391776647e-01 1.043077945983528876e+00 1.041327556132534360e+00 
+7.590000000000000000e+02 2.698280203824233725e-01 4.841217143523397493e-01 6.576979651860748177e-01 7.788747700217288905e-01 9.094854041262208089e-01 1.043103363713653531e+00 1.041353832730961493e+00 
+7.600000000000000000e+02 2.698141580004278506e-01 4.840980431673681528e-01 6.576609893201226242e-01 7.788182228037886512e-01 9.094058363725970873e-01 1.043128676735812554e+00 1.041379999737220619e+00 
+7.610000000000000000e+02 2.698003989373949363e-01 4.840744702335072480e-01 6.576241254713566242e-01 7.787619048833220869e-01 9.093266877116227276e-01 1.043153879917726679e+00 1.041406051524874421e+00 
+7.620000000000000000e+02 2.697867434698869027e-01 4.840509951879087835e-01 6.575873722699359103e-01 7.787058129667634443e-01 9.092479508189733606e-01 1.043178959551887219e+00 1.041431976448305541e+00 
+7.630000000000000000e+02 2.697731893754199972e-01 4.840276162449223540e-01 6.575507287545371282e-01 7.786499447036123733e-01 9.091696206455911478e-01 1.043203906736343445e+00 1.041457767804958578e+00 
+7.640000000000000000e+02 2.697597349146451107e-01 4.840043331187797726e-01 6.575141951641888527e-01 7.785942994939563100e-01 9.090916961934502050e-01 1.043228724526938045e+00 1.041483429008294381e+00 
+7.650000000000000000e+02 2.697463797759344084e-01 4.839811472810342519e-01 6.574777721431703803e-01 7.785388775491830504e-01 9.090141797101856103e-01 1.043253424533382878e+00 1.041508970299796610e+00 
+7.660000000000000000e+02 2.697331260098448924e-01 4.839580593510051654e-01 6.574414599660439729e-01 7.784836788381797046e-01 9.089370730628766326e-01 1.043278018331420531e+00 1.041534401539066623e+00 
+7.670000000000000000e+02 2.697199750427926035e-01 4.839350702698331785e-01 6.574052585728983322e-01 7.784287026735394743e-01 9.088603756712012594e-01 1.043302510967285990e+00 1.041559726863145130e+00 
+7.680000000000000000e+02 2.697069269279065984e-01 4.839121792328139327e-01 6.573691673553707648e-01 7.783739471796732312e-01 9.087840837162189933e-01 1.043326899963738841e+00 1.041584943957168274e+00 
+7.690000000000000000e+02 2.696939804119168893e-01 4.838893866370405639e-01 6.573331857147368673e-01 7.783194097736408912e-01 9.087081916348184185e-01 1.043351178491897402e+00 1.041610046867728068e+00 
+7.700000000000000000e+02 2.696811351286800829e-01 4.838666923665592146e-01 6.572973136695655638e-01 7.782650894816450782e-01 9.086327001936063130e-01 1.043375359355448007e+00 1.041635046413118104e+00 
+7.710000000000000000e+02 2.696683922186790539e-01 4.838440967617488875e-01 6.572615508697801090e-01 7.782109858790442480e-01 9.085576114784543744e-01 1.043399467999233776e+00 1.041659961802249956e+00 
+7.720000000000000000e+02 2.696557495363566259e-01 4.838215985599803592e-01 6.572258970665925126e-01 7.781570961152592947e-01 9.084829127186945241e-01 1.043423455413330814e+00 1.041684753393611773e+00 
+7.730000000000000000e+02 2.696432084906235094e-01 4.837991997196690597e-01 6.571903510211016819e-01 7.781034160264959088e-01 9.084085885696988605e-01 1.043447282501630546e+00 1.041709390720461537e+00 
+7.740000000000000000e+02 2.696307703746517737e-01 4.837768998221325112e-01 6.571549121524035142e-01 7.780499431145817546e-01 9.083346360315687207e-01 1.043470952266804863e+00 1.041733876598676334e+00 
+7.750000000000000000e+02 2.696184338661458124e-01 4.837546989709494705e-01 6.571195807907781461e-01 7.779966791522966441e-01 9.082610641313133559e-01 1.043494497941908739e+00 1.041758237908868123e+00 
+7.760000000000000000e+02 2.696061979064650616e-01 4.837325969684848070e-01 6.570843580393538330e-01 7.779436264360779507e-01 9.081878835515586612e-01 1.043517951925732490e+00 1.041782501282892737e+00 
+7.770000000000000000e+02 2.695940634701833871e-01 4.837105945627477310e-01 6.570492446683119381e-01 7.778907858292791744e-01 9.081150970788334220e-01 1.043541325619358195e+00 1.041806676569794421e+00 
+7.780000000000000000e+02 2.695820311413782422e-01 4.836886927364674182e-01 6.570142401474221572e-01 7.778381553083126843e-01 9.080426984344291963e-01 1.043564609735081916e+00 1.041830756415238479e+00 
+7.790000000000000000e+02 2.695701011143786241e-01 4.836668910327093229e-01 6.569793433675344962e-01 7.777857311716647182e-01 9.079706780487107887e-01 1.043587786948585672e+00 1.041854726316869595e+00 
+7.800000000000000000e+02 2.695582746828280585e-01 4.836451893983861328e-01 6.569445537347322617e-01 7.777335105949104710e-01 9.078990286200289139e-01 1.043610846369506628e+00 1.041878576695935088e+00 
+7.810000000000000000e+02 2.695465491872888752e-01 4.836235877292743846e-01 6.569098706413106781e-01 7.776814922316478418e-01 9.078277471099596152e-01 1.043633785887237320e+00 1.041902305632324888e+00 
+7.820000000000000000e+02 2.695349243646528725e-01 4.836020851922287478e-01 6.568752940985481681e-01 7.776296751451665656e-01 9.077568327764136136e-01 1.043656609728379259e+00 1.041925916837263211e+00 
+7.830000000000000000e+02 2.695234011153219145e-01 4.835806824307235519e-01 6.568408243761025833e-01 7.775780593297341170e-01 9.076862865777898248e-01 1.043679325428678029e+00 1.041949416695841402e+00 
+7.840000000000000000e+02 2.695119799077859701e-01 4.835593802294685939e-01 6.568064612904094268e-01 7.775266443505642888e-01 9.076161082530106450e-01 1.043701937637127042e+00 1.041972809197758254e+00 
+7.850000000000000000e+02 2.695006601808925262e-01 4.835381792733473016e-01 6.567722050021804758e-01 7.774754289188161582e-01 9.075462952588539967e-01 1.043724445793745570e+00 1.041996094118278648e+00 
+7.860000000000000000e+02 2.694894421636142567e-01 4.835170788054045099e-01 6.567380547853640671e-01 7.774244113364755515e-01 9.074768430623044724e-01 1.043746844147251718e+00 1.042019266998344351e+00 
+7.870000000000000000e+02 2.694783251973655314e-01 4.834960789314761698e-01 6.567040106796714349e-01 7.773735902069324188e-01 9.074077484819563777e-01 1.043769129700134579e+00 1.042042325421453253e+00 
+7.880000000000000000e+02 2.694673086160076503e-01 4.834751787081852381e-01 6.566700719459057645e-01 7.773229645896992945e-01 9.073390106926900733e-01 1.043791307988684469e+00 1.042065273846397577e+00 
+7.890000000000000000e+02 2.694563925478322686e-01 4.834543793178689985e-01 6.566362390359644641e-01 7.772725342509894109e-01 9.072706301446371580e-01 1.043813385662134996e+00 1.042088117794700786e+00 
+7.900000000000000000e+02 2.694455783009704342e-01 4.834336803962260287e-01 6.566025118266246574e-01 7.772222986838858150e-01 9.072026058858719821e-01 1.043835366125269726e+00 1.042110860283101292e+00 
+7.910000000000000000e+02 2.694348669803429130e-01 4.834130830344567364e-01 6.565688914099967466e-01 7.771722583860325440e-01 9.071349389312909350e-01 1.043857252133873592e+00 1.042133502561289893e+00 
+7.920000000000000000e+02 2.694242569279964306e-01 4.833925869554370203e-01 6.565353768112958122e-01 7.771224113106611764e-01 9.070676220267654966e-01 1.043879025522486570e+00 1.042156032427372869e+00 
+7.930000000000000000e+02 2.694137497040133833e-01 4.833721940064806821e-01 6.565019662054276672e-01 7.770727524835885358e-01 9.070006450586655111e-01 1.043900681714003964e+00 1.042178445895353134e+00 
+7.940000000000000000e+02 2.694033433162646429e-01 4.833519018088654473e-01 6.564686594233175576e-01 7.770232813415947071e-01 9.069340091559080497e-01 1.043922228720669754e+00 1.042200748610003780e+00 
+7.950000000000000000e+02 2.693930349008203384e-01 4.833317091205423521e-01 6.564354568155608138e-01 7.769739984837332747e-01 9.068677170741864524e-01 1.043943676146743771e+00 1.042222948142057737e+00 
+7.960000000000000000e+02 2.693828256714649871e-01 4.833116166164023175e-01 6.564023587109659719e-01 7.769249040184486033e-01 9.068017691008406489e-01 1.043965029096907582e+00 1.042245048929941964e+00 
+7.970000000000000000e+02 2.693727166599695355e-01 4.832916251923751738e-01 6.563693649784217987e-01 7.768759968073415401e-01 9.067361626122603102e-01 1.043986287421396097e+00 1.042267051158315416e+00 
+7.980000000000000000e+02 2.693627080217866343e-01 4.832717355083412936e-01 6.563364751887358350e-01 7.768272749079372375e-01 9.066708940235486125e-01 1.044007447598593874e+00 1.042288952144511782e+00 
+7.990000000000000000e+02 2.693527962934181286e-01 4.832519439679833773e-01 6.563036857283677250e-01 7.767787289421542729e-01 9.066059341143761774e-01 1.044028446659978071e+00 1.042310702478715045e+00 
+8.000000000000000000e+02 2.693429847850501435e-01 4.832322531261307730e-01 6.562709964049874278e-01 7.767303573732718958e-01 9.065412749864483200e-01 1.044049257708943301e+00 1.042332277480246150e+00 
+8.010000000000000000e+02 2.693332646196435753e-01 4.832126577602292583e-01 6.562384098418373446e-01 7.766821689340203116e-01 9.064769487161503658e-01 1.044069963783157640e+00 1.042353742863403099e+00 
+8.020000000000000000e+02 2.693236413584884081e-01 4.831931622365714385e-01 6.562059288065058560e-01 7.766341698889440703e-01 9.064129759714296686e-01 1.044090624437421733e+00 1.042375149266672185e+00 
+8.030000000000000000e+02 2.693141196379123525e-01 4.831737696521182790e-01 6.561735542445195080e-01 7.765863600196171168e-01 9.063493582792351289e-01 1.044111253935832817e+00 1.042396511198366182e+00 
+8.040000000000000000e+02 2.693047006945255006e-01 4.831544802265562155e-01 6.561412843096564584e-01 7.765387349225297831e-01 9.062860832909832576e-01 1.044131830464237076e+00 1.042417811944599482e+00 
+8.050000000000000000e+02 2.692953848559900831e-01 4.831352958309543810e-01 6.561091209100633481e-01 7.764913004308029443e-01 9.062231781228416994e-01 1.044152434496482318e+00 1.042439116396220555e+00 
+8.060000000000000000e+02 2.692861655311253322e-01 4.831162109670258942e-01 6.560770628226896273e-01 7.764440539906958261e-01 9.061606425620939431e-01 1.044173119556609963e+00 1.042460462875798521e+00 
+8.070000000000000000e+02 2.692770544649872311e-01 4.830972326886847634e-01 6.560451069345872854e-01 7.763969786324226297e-01 9.060984007197789847e-01 1.044193635757750371e+00 1.042481651154818501e+00 
+8.080000000000000000e+02 2.692680462418424181e-01 4.830783571246722308e-01 6.560132460583891767e-01 7.763500566569412342e-01 9.060363932639673434e-01 1.044213822814133774e+00 1.042502552895893775e+00 
+8.090000000000000000e+02 2.692591314312005046e-01 4.830595768913368837e-01 6.559814780828424619e-01 7.763032866926220521e-01 9.059746271301264420e-01 1.044233716495972963e+00 1.042523195453973539e+00 
+8.100000000000000000e+02 2.692503044547985835e-01 4.830408899891764363e-01 6.559498075408488615e-01 7.762566834596728027e-01 9.059131575125571878e-01 1.044253475353023042e+00 1.042543705711129753e+00 
+8.110000000000000000e+02 2.692415682277529143e-01 4.830223010726658051e-01 6.559182410592035994e-01 7.762102628704492524e-01 9.058520369621937407e-01 1.044273234493474867e+00 1.042564194886241191e+00 
+8.120000000000000000e+02 2.692329318925415493e-01 4.830038161687062459e-01 6.558867822080256538e-01 7.761640304898281828e-01 9.057912782973487342e-01 1.044293021226000429e+00 1.042584689042688861e+00 
+8.130000000000000000e+02 2.692244003231662464e-01 4.829854364984768611e-01 6.558554289780565982e-01 7.761179792721398796e-01 9.057308562830060916e-01 1.044312773775720293e+00 1.042605140600391556e+00 
+8.140000000000000000e+02 2.692159707405430979e-01 4.829671594876596141e-01 6.558241765019313663e-01 7.760720974681699635e-01 9.056707356651477747e-01 1.044332413608463517e+00 1.042625484894075916e+00 
+8.150000000000000000e+02 2.692076348278796272e-01 4.829489803136228776e-01 6.557930213966067789e-01 7.760263773474023186e-01 9.056108959038373651e-01 1.044351902172651503e+00 1.042645687451082992e+00 
+8.160000000000000000e+02 2.691993882876491662e-01 4.829308965123249031e-01 6.557619628807234147e-01 7.759808168392409167e-01 9.055513313101523076e-01 1.044371230865379641e+00 1.042665738875617309e+00 
+8.170000000000000000e+02 2.691912321687062737e-01 4.829129088382899671e-01 6.557310023344569139e-01 7.759354188469838043e-01 9.054920490084799045e-01 1.044390411904234872e+00 1.042685649236789525e+00 
+8.180000000000000000e+02 2.691831757914245893e-01 4.828950230239734132e-01 6.557001426570249203e-01 7.758901883181351655e-01 9.054330677298172425e-01 1.044409497327545733e+00 1.042705462400107086e+00 
+8.190000000000000000e+02 2.691752182552598072e-01 4.828772391883442983e-01 6.556693847983340317e-01 7.758451288920210631e-01 9.053744006150484802e-01 1.044428527969914811e+00 1.042725213051226785e+00 
+8.200000000000000000e+02 2.691673566613289603e-01 4.828595557378078662e-01 6.556387290151037828e-01 7.758002404820876219e-01 9.053160495946391828e-01 1.044447516631621165e+00 1.042744912030602267e+00 
+8.210000000000000000e+02 2.691595897249141056e-01 4.828419720756439437e-01 6.556081739263237562e-01 7.757555203291204293e-01 9.052580064382715896e-01 1.044466450066708907e+00 1.042764548043779715e+00 
+8.220000000000000000e+02 2.691519165700062555e-01 4.828244872765897755e-01 6.555777181484957472e-01 7.757109640876634904e-01 9.052002584375359318e-01 1.044485303866165227e+00 1.042784100163271610e+00 
+8.230000000000000000e+02 2.691443367187673075e-01 4.828071014618742773e-01 6.555473605959716288e-01 7.756665680760319592e-01 9.051427946003400837e-01 1.044504057411096420e+00 1.042803550729924478e+00 
+8.240000000000000000e+02 2.691368498834853518e-01 4.827898140002547245e-01 6.555171006166417014e-01 7.756223303469348407e-01 9.050856091556751526e-01 1.044522701049779512e+00 1.042822891731508106e+00 
+8.250000000000000000e+02 2.691294561582522338e-01 4.827726238572189188e-01 6.554869381123821226e-01 7.755782504311348191e-01 9.050287013211253395e-01 1.044541235330702200e+00 1.042842124159389705e+00 
+8.260000000000000000e+02 2.691221544965762824e-01 4.827555320041254650e-01 6.554568732396088837e-01 7.755343287221223569e-01 9.049720727586698654e-01 1.044559666343353177e+00 1.042861253903277108e+00 
+8.270000000000000000e+02 2.691149446870721440e-01 4.827385380239412327e-01 6.554269067171142327e-01 7.754905660043449611e-01 9.049157254022287544e-01 1.044578001418647206e+00 1.042880287734199607e+00 
+8.280000000000000000e+02 2.691078270235010006e-01 4.827216418527070507e-01 6.553970382614451307e-01 7.754469619029408234e-01 9.048596602003960987e-01 1.044596246568168629e+00 1.042899230916602082e+00 
+8.290000000000000000e+02 2.691008020032718551e-01 4.827048440231244131e-01 6.553672678234038207e-01 7.754035159862943116e-01 9.048038764353385499e-01 1.044614405801440826e+00 1.042918086657922183e+00 
+8.300000000000000000e+02 2.690938690909218667e-01 4.826881443079784617e-01 6.553375953677019750e-01 7.753602274966615582e-01 9.047483727533026654e-01 1.044632481209480934e+00 1.042936856386181166e+00 
+8.310000000000000000e+02 2.690870273575323157e-01 4.826715424139739752e-01 6.553080204957826282e-01 7.753170952620016543e-01 9.046931466784553511e-01 1.044650473148048819e+00 1.042955540138523096e+00 
+8.320000000000000000e+02 2.690802770180050763e-01 4.826550375546210248e-01 6.552785428108623966e-01 7.752741180208584382e-01 9.046381953789305319e-01 1.044668380538531283e+00 1.042974136989517575e+00 
+8.330000000000000000e+02 2.690736165773617294e-01 4.826386303559598301e-01 6.552491620263438676e-01 7.752312949752993010e-01 9.045835162661177709e-01 1.044686201559485106e+00 1.042992645537889063e+00 
+8.340000000000000000e+02 2.690670458758185335e-01 4.826223204492188223e-01 6.552198780378473142e-01 7.751886248072537011e-01 9.045291070029100045e-01 1.044703934382904320e+00 1.043011064442019409e+00 
+8.350000000000000000e+02 2.690605654120899470e-01 4.826061064532488620e-01 6.551906903674443727e-01 7.751461068388066922e-01 9.044749653820349788e-01 1.044721577811373425e+00 1.043029392863716875e+00 
+8.360000000000000000e+02 2.690541746718195792e-01 4.825899890313005147e-01 6.551615988327799123e-01 7.751037403228687728e-01 9.044210899528944969e-01 1.044739131598299675e+00 1.043047630705624673e+00 
+8.370000000000000000e+02 2.690478707764094590e-01 4.825739663600833729e-01 6.551326014917450147e-01 7.750615192555251332e-01 9.043674612583355588e-01 1.044756551167585368e+00 1.043065742194878354e+00 
+8.380000000000000000e+02 2.690416551004787271e-01 4.825580389983539220e-01 6.551036978700128799e-01 7.750194418396180174e-01 9.043140726943694752e-01 1.044773819136733506e+00 1.043083713769303866e+00 
+8.390000000000000000e+02 2.690355236667361094e-01 4.825422045911175739e-01 6.550748891517383932e-01 7.749775132679103118e-01 9.042609447444649451e-01 1.044791000833684924e+00 1.043101596367008499e+00 
+8.400000000000000000e+02 2.690294804342033275e-01 4.825264659396005240e-01 6.550461784684630251e-01 7.749357391615240287e-01 9.042080968221931636e-01 1.044808143940886724e+00 1.043119428807524507e+00 
+8.410000000000000000e+02 2.690235287862805524e-01 4.825108264474063380e-01 6.550175666437220157e-01 7.748941212631259567e-01 9.041555329998061108e-01 1.044825260961597335e+00 1.043137222918510298e+00 
+8.420000000000000000e+02 2.690176679561812056e-01 4.824952846171940424e-01 6.549890522920788216e-01 7.748526559961685933e-01 9.041032442573687655e-01 1.044842334402625417e+00 1.043154965425560521e+00 
+8.430000000000000000e+02 2.690118947330685240e-01 4.824798383613025377e-01 6.549606333859960827e-01 7.748113382311447861e-01 9.040512155764242053e-01 1.044859335446263859e+00 1.043172632305975789e+00 
+8.440000000000000000e+02 2.690062061978069630e-01 4.824644857279145049e-01 6.549323082914529914e-01 7.747701639691730868e-01 9.039994356250594665e-01 1.044876242166463243e+00 1.043190204577708169e+00 
+8.450000000000000000e+02 2.690006016362128660e-01 4.824492256924305389e-01 6.549040765056487468e-01 7.747291317030640112e-01 9.039479000230993266e-01 1.044893048543571901e+00 1.043207676805365303e+00 
+8.460000000000000000e+02 2.689950817169772801e-01 4.824340603090260804e-01 6.548759382502259419e-01 7.746882416204899924e-01 9.038966096055743860e-01 1.044909760531978815e+00 1.043225054118135597e+00 
+8.470000000000000000e+02 2.689896475197804948e-01 4.824189893154068876e-01 6.548478939318869152e-01 7.746474945022238101e-01 9.038455667804454752e-01 1.044926385875264430e+00 1.043242343548964168e+00 
+8.480000000000000000e+02 2.689842985621696547e-01 4.824040123276810421e-01 6.548199438851941556e-01 7.746068903642784331e-01 9.037947724473236466e-01 1.044942929052522951e+00 1.043259549365685102e+00 
+8.490000000000000000e+02 2.689790345994755860e-01 4.823891286810916834e-01 6.547920878258916000e-01 7.745664287314111274e-01 9.037442254454169932e-01 1.044959390042087932e+00 1.043276671805694278e+00 
+8.500000000000000000e+02 2.689738545300395245e-01 4.823743386621047735e-01 6.547643254587801609e-01 7.745261085792871647e-01 9.036939233563403562e-01 1.044975766838741382e+00 1.043293709254735413e+00 
+8.510000000000000000e+02 2.689687571000717314e-01 4.823596412368700292e-01 6.547366566438312940e-01 7.744859291926734501e-01 9.036438639320661936e-01 1.044992058741974317e+00 1.043310661108616033e+00 
+8.520000000000000000e+02 2.689637426824752486e-01 4.823450363081045467e-01 6.547090808896935954e-01 7.744458896626844613e-01 9.035940460550511144e-01 1.045008267843718031e+00 1.043327529074495219e+00 
+8.530000000000000000e+02 2.689588113169212313e-01 4.823305246813160418e-01 6.546815981388374173e-01 7.744059896761446016e-01 9.035444694366867591e-01 1.045024398143170608e+00 1.043344316447347708e+00 
+8.540000000000000000e+02 2.689539626965005148e-01 4.823161052459419840e-01 6.546542084779130022e-01 7.743662289470384374e-01 9.034951335201414357e-01 1.045040453412625858e+00 1.043361026349952647e+00 
+8.550000000000000000e+02 2.689491961156100230e-01 4.823017777994969557e-01 6.546269117333660681e-01 7.743266071165307851e-01 9.034460373913915099e-01 1.045056435474518208e+00 1.043377660319207756e+00 
+8.560000000000000000e+02 2.689445115337676384e-01 4.822875416537116267e-01 6.545997076678240489e-01 7.742871233831188915e-01 9.033971796449929981e-01 1.045072343778090662e+00 1.043394217990435191e+00 
+8.570000000000000000e+02 2.689399079485561006e-01 4.822733973530620721e-01 6.545725959987946929e-01 7.742477766175964726e-01 9.033485578372427716e-01 1.045088176343530240e+00 1.043410697785919217e+00 
+8.580000000000000000e+02 2.689353847121620511e-01 4.822593445640496745e-01 6.545455764407933641e-01 7.742085659061999081e-01 9.033001694250089031e-01 1.045103930992584251e+00 1.043427097991447283e+00 
+8.590000000000000000e+02 2.689309416215754367e-01 4.822453825439987352e-01 6.545186487163281441e-01 7.741694905168848839e-01 9.032520121906427724e-01 1.045119606370340293e+00 1.043443417562475162e+00 
+8.600000000000000000e+02 2.689265782242156178e-01 4.822315113799650610e-01 6.544918126955695525e-01 7.741305497444148642e-01 9.032040846437066062e-01 1.045135202259709351e+00 1.043459656382598855e+00 
+8.610000000000000000e+02 2.689222938193084889e-01 4.822177301543539296e-01 6.544650679763199808e-01 7.740917428145416279e-01 9.031563854383943823e-01 1.045150719316672472e+00 1.043475815057308909e+00 
+8.620000000000000000e+02 2.689180883208154849e-01 4.822040388354058571e-01 6.544384143769038653e-01 7.740530695352210167e-01 9.031089136284077279e-01 1.045166158589433847e+00 1.043491894530310882e+00 
+8.630000000000000000e+02 2.689139611952621745e-01 4.821904368940161945e-01 6.544118519941249934e-01 7.740145291893776314e-01 9.030616681695499137e-01 1.045181521162370952e+00 1.043507895778295280e+00 
+8.640000000000000000e+02 2.689099117991810561e-01 4.821769251319067418e-01 6.543853807379395038e-01 7.739761214038815007e-01 9.030146478690646017e-01 1.045196808022231583e+00 1.043523819680287845e+00 
+8.650000000000000000e+02 2.689059400285939705e-01 4.821635016300359622e-01 6.543590002133740091e-01 7.739378454470120516e-01 9.029678516821554313e-01 1.045212020073735815e+00 1.043539667018671846e+00 
+8.660000000000000000e+02 2.689020452133941141e-01 4.821501673177373548e-01 6.543327102603027079e-01 7.738997008488546214e-01 9.029212784499005551e-01 1.045227158182389093e+00 1.043555438511344580e+00 
+8.670000000000000000e+02 2.688982267402789117e-01 4.821369224824937905e-01 6.543065106729195612e-01 7.738616869338295068e-01 9.028749267596254402e-01 1.045242223147807126e+00 1.043571134822741220e+00 
+8.680000000000000000e+02 2.688944849276172500e-01 4.821237650616507775e-01 6.542804011214304882e-01 7.738238031477464585e-01 9.028287953284368506e-01 1.045257215608103474e+00 1.043586756485473055e+00 
+8.690000000000000000e+02 2.688908188042148928e-01 4.821106961771536303e-01 6.542543817599141276e-01 7.737860488249213020e-01 9.027828829859076976e-01 1.045272135948537295e+00 1.043602303844839652e+00 
+8.700000000000000000e+02 2.688872276224292257e-01 4.820977144173298479e-01 6.542284522449907103e-01 7.737484234659893767e-01 9.027371882165863282e-01 1.045286984257503438e+00 1.043617777043802652e+00 
+8.710000000000000000e+02 2.688837111714983963e-01 4.820848195652156498e-01 6.542026125304936102e-01 7.737109264991497426e-01 9.026917096146659381e-01 1.045301760410927372e+00 1.043633176067010782e+00 
+8.720000000000000000e+02 2.688802695502124918e-01 4.820720120870518044e-01 6.541768621622342517e-01 7.736735569314914240e-01 9.026464455802134523e-01 1.045316464218539965e+00 1.043648500848497918e+00 
+8.730000000000000000e+02 2.688769009259817655e-01 4.820592919473515314e-01 6.541512011174623886e-01 7.736363143249224139e-01 9.026013946569929614e-01 1.045331095577242797e+00 1.043663751393454797e+00 
+8.740000000000000000e+02 2.688736060046159060e-01 4.820466579647883498e-01 6.541256288784236261e-01 7.735991983392260796e-01 9.025565554119091560e-01 1.045345654589984186e+00 1.043678927871501960e+00 
+8.750000000000000000e+02 2.688703874470037558e-01 4.820341127600944464e-01 6.541001488133346697e-01 7.735622180503103351e-01 9.025119646088408665e-01 1.045360244095771218e+00 1.043694111205646813e+00 
+8.760000000000000000e+02 2.688672433238231685e-01 4.820216554646916673e-01 6.540747612203220429e-01 7.735253746681928222e-01 9.024676297080067577e-01 1.045374921377167921e+00 1.043709344966835983e+00 
+8.770000000000000000e+02 2.688641706767939676e-01 4.820092829767116394e-01 6.540494615533801737e-01 7.734886526535895701e-01 9.024234877125851817e-01 1.045389481670352394e+00 1.043724473008127651e+00 
+8.780000000000000000e+02 2.688611687137728579e-01 4.819969945445708448e-01 6.540242445778783331e-01 7.734520381145050250e-01 9.023794915570561015e-01 1.045403796855598255e+00 1.043739392787744968e+00 
+8.790000000000000000e+02 2.688582366933095491e-01 4.819847876920010932e-01 6.539991091992117811e-01 7.734155305454666340e-01 9.023356457748521464e-01 1.045417889731411254e+00 1.043754117938666015e+00 
+8.800000000000000000e+02 2.688553708928149710e-01 4.819726616797606611e-01 6.539740589660736347e-01 7.733791408515509058e-01 9.022919907809202611e-01 1.045431876927412240e+00 1.043768739411275126e+00 
+8.810000000000000000e+02 2.688525732842976246e-01 4.819606195443011387e-01 6.539490986676660400e-01 7.733428810729673364e-01 9.022485647899595174e-01 1.045445862641822377e+00 1.043783342656536606e+00 
+8.820000000000000000e+02 2.688498469442913152e-01 4.819486641329532861e-01 6.539242303818550983e-01 7.733067552417129953e-01 9.022053781128674954e-01 1.045459874662453936e+00 1.043797953702920056e+00 
+8.830000000000000000e+02 2.688471924703182969e-01 4.819367943633023899e-01 6.538994512030269490e-01 7.732707548643508177e-01 9.021624034983294349e-01 1.045473844376072048e+00 1.043812520201631511e+00 
+8.840000000000000000e+02 2.688446087754564062e-01 4.819250084919282640e-01 6.538747579106611862e-01 7.732348718099530949e-01 9.021196153370286686e-01 1.045487706902578973e+00 1.043826988024221247e+00 
+8.850000000000000000e+02 2.688420898071734455e-01 4.819133030588036437e-01 6.538501498196616080e-01 7.731991052621448590e-01 9.020770134353727210e-01 1.045501472629949635e+00 1.043841361650178268e+00 
+8.860000000000000000e+02 2.688396367797189490e-01 4.819016786407994135e-01 6.538256278961910306e-01 7.731634580684717539e-01 9.020346079007973694e-01 1.045515171554958878e+00 1.043855663922140797e+00 
+8.870000000000000000e+02 2.688372514863839324e-01 4.818901364264934761e-01 6.538011932574219198e-01 7.731279330918872095e-01 9.019924066262855478e-01 1.045528825199254497e+00 1.043869913796020121e+00 
+8.880000000000000000e+02 2.688349354696012439e-01 4.818786777839448865e-01 6.537768463656540296e-01 7.730925302062886528e-01 9.019504093257983968e-01 1.045542434264458587e+00 1.043884113879409492e+00 
+8.890000000000000000e+02 2.688326874276039669e-01 4.818673018817410947e-01 6.537525863864117603e-01 7.730572471842903637e-01 9.019086099270319234e-01 1.045555984688744555e+00 1.043898253383525265e+00 
+8.900000000000000000e+02 2.688305056339439503e-01 4.818560070313346322e-01 6.537284121399362657e-01 7.730220816515205318e-01 9.018670011010180287e-01 1.045569461061836902e+00 1.043912319126963029e+00 
+8.910000000000000000e+02 2.688283883463029045e-01 4.818447919035476756e-01 6.537043228380935433e-01 7.729870319096314724e-01 9.018255788159575959e-01 1.045582856567631280e+00 1.043926304755733225e+00 
+8.920000000000000000e+02 2.688263342118519250e-01 4.818336557926705677e-01 6.536803182863200057e-01 7.729520979552113591e-01 9.017843425101863541e-01 1.045596175051267229e+00 1.043940213118975890e+00 
+8.930000000000000000e+02 2.688243441332366368e-01 4.818225997280124462e-01 6.536563987041625889e-01 7.729172794188019502e-01 9.017432918690880816e-01 1.045609418880155461e+00 1.043954046061946306e+00 
+8.940000000000000000e+02 2.688224182692779407e-01 4.818116233006128901e-01 6.536325641071455417e-01 7.728825762577650194e-01 9.017024255421113299e-01 1.045622579109867889e+00 1.043967798121924195e+00 
+8.950000000000000000e+02 2.688205561224730200e-01 4.818007265881780743e-01 6.536088145716245634e-01 7.728479889341199893e-01 9.016617462056384369e-01 1.045635672575429664e+00 1.043981483621958750e+00 
+8.960000000000000000e+02 2.688187577948973894e-01 4.817899091026724423e-01 6.535851503552045916e-01 7.728135185312847710e-01 9.016212591873991045e-01 1.045648721227139255e+00 1.043995119257119297e+00 
+8.970000000000000000e+02 2.688170219614623435e-01 4.817791707803342760e-01 6.535615718471390334e-01 7.727791657535946213e-01 9.015809671112184898e-01 1.045661736083605353e+00 1.044008712740314149e+00 
+8.980000000000000000e+02 2.688153492364089847e-01 4.817685121543681670e-01 6.535380787059984486e-01 7.727449300370599072e-01 9.015408668381479362e-01 1.045674710976076449e+00 1.044022258941612158e+00 
--- a/boundary-layer-RANS-keps-NN/u2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/u2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/v2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/v2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/vel_2540_dns.prof
+++ b/boundary-layer-RANS-keps-NN/vel_2540_dns.prof
@ -0,0 +1,527 @@
+% DNS of a turbulent zero-pressure gradient boundary layer
+% References:
+% Schlatter and Orlu, 2010, J. Fluid Mech., 659 (2010)
+% Schlatter et al., 2009, Bulletin APS, 54:19, page 59
+%
+% Integral quantities:
+% Re_{\theta}   =       2536.827
+% Re_{\delta^*} =       3563.325
+% Re_{\tau}     =       830.0115
+% H_{12}        =       1.404639
+% c_f           =    0.003327997
+%
+% Wall-normal profiles:
+% y/\delta_{99}       y+          U+          urms+       vrms+       wrms+       uv+         prms+       pu+         pv+         S(u)        F(u)        dU+/dy+     V+        omxrms^+    omyrms^+    omzrms^+ 
+    0.0000000      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   2.6972733  -0.0000000  -0.0000000  -0.1596491   4.9777651   1.0000000  -0.0000000   0.2876934   0.0000000   0.4192886 
+    0.0000416      0.0345555   0.0345555   0.0144824   0.0000157   0.0098999  -0.0000000   2.6969481   0.0046712  -0.0000152   1.0261442   4.9777651   1.0000003   0.0000000   0.2852885   0.0010665   0.4189233 
+    0.0001665      0.1382207   0.1382207   0.0578530   0.0002469   0.0390956  -0.0000029   2.6960241   0.0186539  -0.0002367   1.0333935   4.9840453   0.9999978   0.0000000   0.2780286   0.0042660   0.4178722 
+    0.0003747      0.3109918   0.3109895   0.1299036   0.0012171   0.0861047  -0.0000333   2.6946559   0.0416339  -0.0011434   1.0449375   4.9955765   0.9999684   0.0000002   0.2664325   0.0096004   0.4164385 
+    0.0006661      0.5528622   0.5528368   0.2303624   0.0037060   0.1486316  -0.0001909   2.6931004   0.0727709  -0.0033862   1.0591205   5.0108349   0.9998115   0.0000005   0.2512695   0.0170734   0.4149488 
+    0.0010407      0.8638228   0.8636656   0.3589128   0.0086290   0.2237601  -0.0007449   2.6917166   0.1102994  -0.0076120   1.0732770   5.0210389   0.9992587   0.0000012   0.2332859   0.0266847   0.4134711 
+    0.0014986      1.2438618   1.2431687   0.5150705   0.0169006   0.3081928  -0.0022694   2.6909675   0.1513898  -0.0142950   1.0830324   5.0059662   0.9977346   0.0000024   0.2134293   0.0384080   0.4116389 
+    0.0020397      1.6929651   1.6905433   0.6977997   0.0293057   0.3984957  -0.0057958   2.6914130   0.1923221  -0.0236244   1.0822068   4.9344256   0.9942079   0.0000045   0.1928137   0.0521461   0.4084537 
+    0.0026640      2.2111157   2.2040042   0.9048333   0.0464031   0.4913414  -0.0129137   2.6936899   0.2290083  -0.0354753   1.0637638   4.7753092   0.9870868   0.0000077   0.1729607   0.0676686   0.4024326 
+    0.0033714      2.7982940   2.7801008   1.1318706   0.0684726   0.5837478  -0.0257161   2.6984694   0.2577807  -0.0494588   1.0220420   4.5166750   0.9742774   0.0000123   0.1557905   0.0845591   0.3921642 
+    0.0041620      3.4544780   3.4129606   1.3720617   0.0955119   0.6732895  -0.0464984   2.7063963   0.2762530  -0.0650182   0.9551593   4.1773721   0.9534810   0.0000186   0.1433416   0.1022082   0.3771330 
+    0.0050356      4.1796430   4.0937104   1.6162132   0.1272734   0.7582421  -0.0772303   2.7180192   0.2840215  -0.0815289   0.8658581   3.7995432   0.9227255   0.0000271   0.1369865   0.1198712   0.3582823 
+    0.0059924      4.9737617   4.8103763   1.8538490   0.1633259   0.8376192  -0.1189615   2.7337255   0.2829478  -0.0983645   0.7603141   3.4295265   0.8809568   0.0000378   0.1366550   0.1367723   0.3378637 
+    0.0070322      5.8368041   5.5484536   2.0748013   0.2031225   0.9110852  -0.1714010   2.7536908   0.2768770  -0.1149208   0.6459916   3.1023937   0.8284633   0.0000511   0.1408436   0.1522171   0.3185622 
+    0.0081550      6.7687378   6.2921090   2.2707533   0.2460583   0.9787701  -0.2328527   2.7778491   0.2708063  -0.1306118   0.5298234   2.8366855   0.7669367   0.0000672   0.1474989   0.1656796   0.3023633 
+    0.0093607      7.7695276   7.0257345   2.4362347   0.2915097   1.0410424  -0.3005305   2.8058830   0.2697734  -0.1448683   0.4172440   2.6367302   0.6991620   0.0000859   0.1548759   0.1768433   0.2898612 
+    0.0106494      8.8391360   7.7354545   2.5688759   0.3388532   1.0983111  -0.3711169   2.8372292   0.2777891  -0.1571633   0.3119586   2.4976979   0.6284540   0.0001073   0.1618495   0.1855985   0.2803865 
+    0.0120209      9.9775226   8.4102371   2.6690310   0.3874732   1.1509030  -0.4413626   2.8711076   0.2971521  -0.1670665   0.2161275   2.4102878   0.5580624   0.0001312   0.1678413   0.1920070   0.2727006 
+    0.0134753     11.1846446   9.0424265   2.7390460   0.4367650   1.1990238  -0.5085514   2.9065647   0.3282476  -0.1743101   0.1307082   2.3639752   0.4907017   0.0001576   0.1726303   0.1962511   0.2656707 
+    0.0150124     12.4604565   9.6277091   2.7824503   0.4861428   1.2427786  -0.5707463   2.9425479   0.3698188  -0.1788392   0.0558108   2.3488613   0.4283097   0.0001862   0.1761985   0.1985811   0.2585879 
+    0.0166322     13.8049103  10.1646647   2.8032670   0.5350514   1.2822193  -0.6268206   2.9779830   0.4194849  -0.1808260  -0.0089869   2.3565108   0.3720108   0.0002171   0.1786256   0.1992712   0.2511616 
+    0.0183346     15.2179554  10.6541088   2.8055241   0.5829827   1.3173941  -0.6763432   3.0118631   0.4743489  -0.1806434  -0.0643864   2.3801515   0.3222355   0.0002504   0.1800351   0.1985894   0.2433707 
+    0.0201196     16.6995386  11.0984012   2.7929666   0.6294910   1.3483885  -0.7193953   3.0433123   0.5314915  -0.1788073  -0.1111862   2.4145276   0.2788979   0.0002861   0.1805588   0.1967801   0.2353170 
+    0.0219872     18.2496040  11.5008369   2.7689222   0.6742040   1.3753532  -0.7563871   3.0716375   0.5883286  -0.1759030  -0.1501745   2.4556128   0.2415848   0.0003245   0.1803257   0.1940580   0.2271321 
+    0.0239371     19.8680934  11.8651689   2.7362686   0.7168285   1.3985153  -0.7879049   3.0963405   0.6427824  -0.1725128  -0.1820771   2.5003076   0.2097032   0.0003659   0.1794457   0.1906088   0.2189267 
+    0.0259695     21.5549458  12.1952647   2.6974482   0.7571492   1.4181677  -0.8146030   3.1171196   0.6933364  -0.1691469  -0.2075386   2.5462221   0.1825943   0.0004107   0.1780179   0.1865934   0.2107769 
+    0.0280841     23.3100977  12.4948810   2.6545019   0.7950236   1.4346424  -0.8371296   3.1338398   0.7389789  -0.1661967  -0.2271385   2.5915217   0.1596019   0.0004592   0.1761261   0.1821525   0.2027384 
+    0.0302809     25.1334830  12.7675351   2.6091118   0.8303755   1.4482768  -0.8560852   3.1465077   0.7791108  -0.1639146  -0.2414189   2.6347773   0.1401213   0.0005117   0.1738448   0.1774094   0.1948526 
+    0.0325598     27.0250331  13.0164463   2.5626388   0.8631865   1.4593883  -0.8720013   3.1552349   0.8134433  -0.1624195  -0.2508977   2.6748755   0.1236151   0.0005685   0.1712413   0.1724731   0.1871545 
+    0.0349208     28.9846767  13.2445223   2.5161477   0.8934855   1.4682707  -0.8853374   3.1602101   0.8418891  -0.1617217  -0.2560911   2.7110376   0.1096231   0.0006296   0.1683829   0.1674377   0.1796938 
+    0.0373637     31.0123401  13.4543692   2.4704455   0.9213361   1.4752026  -0.8964867   3.1616588   0.8644645  -0.1617573  -0.2575362   2.7427971   0.0977508   0.0006950   0.1653231   0.1623838   0.1725250 
+    0.0398885     33.1079469  13.6483044   2.4261254   0.9468250   1.4804401  -0.9057880   3.1598276   0.8812789  -0.1624253  -0.2557797   2.7699182   0.0876631   0.0007645   0.1621143   0.1573794   0.1656965 
+    0.0424951     35.2714183  13.8283720   2.3836166   0.9700536   1.4842090  -0.9135313   3.1549658   0.8925555  -0.1636143  -0.2513590   2.7923525   0.0790715   0.0008377   0.1588025   0.1524794   0.1592370 
+    0.0451833     37.5026727  13.9963628   2.3432180   0.9911331   1.4867058  -0.9199618   3.1473231   0.8986073  -0.1652263  -0.2447358   2.8102150   0.0717370   0.0009144   0.1554236   0.1477265   0.1531558 
+    0.0479531     39.8016262  14.1538473   2.3051189   1.0101827   1.4881042  -0.9252806   3.1371415   0.8998281  -0.1671792  -0.2363169   2.8238616   0.0654612   0.0009943   0.1520027   0.1431514   0.1474591 
+    0.0508043     42.1681922  14.3022106   2.2694246   1.0273304   1.4885541  -0.9296539   3.1246814   0.8966892  -0.1693933  -0.2265166   2.8337411   0.0600853   0.0010768   0.1485564   0.1387746   0.1421569 
+    0.0537369     44.6022816  14.4426808   2.2361769   1.0427103   1.4881829  -0.9332234   3.1102314   0.8896505  -0.1717754  -0.2157326   2.8403230   0.0554714   0.0011618   0.1451069   0.1346083   0.1372463 
+    0.0567508     47.1038028  14.5763271   2.2053587   1.0564557   1.4870997  -0.9361215   3.0940859   0.8791980  -0.1742134  -0.2042884   2.8440259   0.0514949   0.0012488   0.1416877   0.1306573   0.1326947 
+    0.0598458     49.6726616  14.7040569   2.1768982   1.0686955   1.4853933  -0.9384621   3.0765263   0.8658858  -0.1766027  -0.1924561   2.8452932   0.0480448   0.0013373   0.1383257   0.1269203   0.1284721 
+    0.0630217     52.3087612  14.8266356   2.1506917   1.0795528   1.4831365  -0.9403357   3.0578228   0.8502324  -0.1788336  -0.1805051   2.8445324   0.0450354   0.0014273   0.1350405   0.1233920   0.1245581 
+    0.0662786     55.0120025  14.9447199   2.1266119   1.0891473   1.4804084  -0.9418110   3.0382378   0.8326465  -0.1808155  -0.1686755   2.8421237   0.0423970   0.0015188   0.1318291   0.1200657   0.1209287 
+    0.0696162     57.7822837  15.0588710   2.1045084   1.0975953   1.4772644  -0.9429466   3.0179929   0.8134524  -0.1824653  -0.1571738   2.8385083   0.0400711   0.0016118   0.1286931   0.1169328   0.1175635 
+    0.0730345     60.6195004  15.1695646   2.0842194   1.1050080   1.4737331  -0.9437892   2.9972550   0.7929655  -0.1837450  -0.1461436   2.8341663   0.0380069   0.0017067   0.1256486   0.1139832   0.1144355 
+    0.0765333     63.5235458  15.2772075   2.0655863   1.1114886   1.4698467  -0.9443725   2.9761356   0.7715639  -0.1846480  -0.1357207   2.8294913   0.0361683   0.0018038   0.1227151   0.1112061   0.1115183 
+    0.0801125     66.4943107  15.3821599   2.0484735   1.1171313   1.4656796  -0.9447220   2.9547285   0.7496413  -0.1852072  -0.1259875   2.8246788   0.0345248   0.0019033   0.1198960   0.1085882   0.1087838 
+    0.0837720     69.5316831  15.4847346   2.0327367   1.1220220   1.4613330  -0.9448630   2.9331444   0.7275048  -0.1854512  -0.1169517   2.8197153   0.0330476   0.0020057   0.1171676   0.1061162   0.1062118 
+    0.0875115     72.6355486  15.5851922   2.0182029   1.1262433   1.4568788  -0.9448166   2.9115254   0.7053901  -0.1854021  -0.1086223   2.8145724   0.0317093   0.0021113   0.1145367   0.1037776   0.1037910 
+    0.0913310     75.8057906  15.6837533   2.0046935   1.1298753   1.4523526  -0.9445967   2.8900223   0.6834944  -0.1850567  -0.1010584   2.8092865   0.0304928   0.0022204   0.1120134   0.1015620   0.1015180 
+    0.0952304     79.0422895  15.7806107   1.9920519   1.1329913   1.4477807  -0.9442151   2.8687275   0.6619106  -0.1843989  -0.0942760   2.8039472   0.0293799   0.0023332   0.1095969   0.0994612   0.0993706 
+    0.0992094     82.3449235  15.8759188   1.9801474   1.1356583   1.4431761  -0.9436879   2.8477028   0.6406910  -0.1834075  -0.0882683   2.7988023   0.0283525   0.0024500   0.1072809   0.0974684   0.0973311 
+    0.1032679     85.7135683  15.9697888   1.9688864   1.1379366   1.4385486  -0.9430264   2.8270124   0.6200399  -0.1820874  -0.0830433   2.7940210   0.0273933   0.0025708   0.1050666   0.0955760   0.0953800 
+    0.1074059     89.1480971  16.0623190   1.9581963   1.1398790   1.4338962  -0.9422292   2.8067861   0.6002078  -0.1804730  -0.0785542   2.7896319   0.0265041   0.0026957   0.1029637   0.0937774   0.0935232 
+    0.1116230     92.6483805  16.1536357   1.9480225   1.1415258   1.4292448  -0.9412869   2.7871077   0.5812815  -0.1786267  -0.0747103   2.7855554   0.0256874   0.0028250   0.1009611   0.0920661   0.0917703 
+    0.1159192     96.2142868  16.2438827   1.9383096   1.1429043   1.4246456  -0.9401964   2.7680049   0.5632033  -0.1766094  -0.0714617   2.7817202   0.0249429   0.0029589   0.0990519   0.0904346   0.0901223 
+    0.1202943     99.8456817  16.3331989   1.9290148   1.1440301   1.4201673  -0.9389575   2.7494593   0.5458759  -0.1744792  -0.0687916   2.7779596   0.0242596   0.0030979   0.0972326   0.0888773   0.0885552 
+    0.1247482    103.5424285  16.4217031   1.9201040   1.1449136   1.4158444  -0.9375706   2.7314727   0.5293194  -0.1722370  -0.0666605   2.7741549   0.0236341   0.0032425   0.0954975   0.0873879   0.0870616 
+    0.1292806    107.3043880  16.5095164   1.9115475   1.1455644   1.4117010  -0.9360325   2.7139938   0.5134746  -0.1698769  -0.0650321   2.7703098   0.0230597   0.0033929   0.0938384   0.0859603   0.0856523 
+    0.1338914    111.1314186  16.5967244   1.9033421   1.1459922   1.4077799  -0.9343578   2.6969437   0.4983443  -0.1674034  -0.0638782   2.7664849   0.0225213   0.0035495   0.0922402   0.0845898   0.0842929 
+    0.1385805    115.0233761  16.6833610   1.8955001   1.1462170   1.4040858  -0.9325541   2.6802674   0.4840253  -0.1648775  -0.0632019   2.7627133   0.0220042   0.0037124   0.0906991   0.0832739   0.0829656 
+    0.1433476    118.9801142  16.7694399   1.8880121   1.1462688   1.4005497  -0.9306221   2.6639748   0.4706933  -0.1623455  -0.0629860   2.7591756   0.0215119   0.0038815   0.0892292   0.0820084   0.0816748 
+    0.1481925    123.0014837  16.8549995   1.8808285   1.1461777   1.3971046  -0.9285581   2.6480879   0.4583619  -0.1598577  -0.0632276   2.7559581   0.0210458   0.0040566   0.0878257   0.0807888   0.0804352 
+    0.1531152    127.0873333  16.9400822   1.8738915   1.1459621   1.3936940  -0.9263684   2.6325933   0.4468284  -0.1574056  -0.0639479   2.7530400   0.0206080   0.0042374   0.0864856   0.0796125   0.0792450 
+    0.1581153    131.2375091  17.0247467   1.8671290   1.1456288   1.3902608  -0.9240541   2.6174542   0.4359003  -0.1549972  -0.0650913   2.7502861   0.0201973   0.0044236   0.0852013   0.0784774   0.0780977 
+    0.1631928    135.4518550  17.1090370   1.8604599   1.1451846   1.3867791  -0.9216293   2.6026694   0.4256500  -0.1525857  -0.0665663   2.7477636   0.0198089   0.0046150   0.0839745   0.0773796   0.0769944 
+    0.1683473    139.7302122  17.1929829   1.8538037   1.1446368   1.3832826  -0.9191030   2.5882509   0.4162253  -0.1501777  -0.0683399   2.7455871   0.0194355   0.0048113   0.0827892   0.0763156   0.0759385 
+    0.1735788    144.0724197  17.2765785   1.8471128   1.1439852   1.3797727  -0.9164892   2.5741521   0.4077496  -0.1477665  -0.0704444   2.7439801   0.0190711   0.0050124   0.0816450   0.0752845   0.0749091 
+    0.1788871    148.4783139  17.3598214   1.8403529   1.1432243   1.3762524  -0.9137809   2.5603026   0.4003652  -0.1453926  -0.0728645   2.7430236   0.0187189   0.0052182   0.0805336   0.0742857   0.0739004 
+    0.1842718    152.9477291  17.4427253   1.8335327   1.1423479   1.3727393  -0.9109738   2.5466953   0.3940645  -0.1430568  -0.0755747   2.7425864   0.0183839   0.0054288   0.0794609   0.0733189   0.0729315 
+    0.1897329    157.4804969  17.5253381   1.8266812   1.1413467   1.3692463  -0.9080548   2.5333018   0.3885344  -0.1408046  -0.0785896   2.7423054   0.0180719   0.0056444   0.0784249   0.0723830   0.0719991 
+    0.1952701    162.0764466  17.6077230   1.8198363   1.1402115   1.3657730  -0.9050169   2.5200041   0.3833892  -0.1386485  -0.0819605   2.7418773   0.0177843   0.0058653   0.0774306   0.0714756   0.0710920 
+    0.2008833    166.7354053  17.6899533   1.8130172   1.1389337   1.3623473  -0.9018539   2.5066232   0.3784432  -0.1366255  -0.0856650   2.7413059   0.0175190   0.0060917   0.0764812   0.0705942   0.0702132 
+    0.2065721    171.4571975  17.7720744   1.8062521   1.1375057   1.3590012  -0.8985708   2.4930979   0.3737799  -0.1347599  -0.0896545   2.7408587   0.0172672   0.0063238   0.0755597   0.0697391   0.0693509 
+    0.2123364    176.2416455  17.8540986   1.7995356   1.1359296   1.3557104  -0.8951754   2.4794712   0.3696055  -0.1331184  -0.0937963   2.7406362   0.0170211   0.0065619   0.0746644   0.0689081   0.0685068 
+    0.2181760    181.0885691  17.9359978   1.7928317   1.1342213   1.3524169  -0.8916718   2.4659098   0.3661165  -0.1317244  -0.0980546   2.7409349   0.0167737   0.0068061   0.0737893   0.0681000   0.0676776 
+    0.2240906    185.9977859  18.0177374   1.7860938   1.1324053   1.3490719  -0.8880514   2.4526078   0.3631457  -0.1305669  -0.1026199   2.7419747   0.0165280   0.0070568   0.0729289   0.0673148   0.0668710 
+    0.2300801    190.9691109  18.0993054   1.7793032   1.1305056   1.3455944  -0.8843047   2.4396819   0.3604829  -0.1296002  -0.1076187   2.7438691   0.0162897   0.0073138   0.0721049   0.0665505   0.0660915 
+    0.2361442    196.0023571  18.1807162   1.7724568   1.1285369   1.3419716  -0.8804336   2.4271044   0.3580343  -0.1287551  -0.1130613   2.7461450   0.0160615   0.0075768   0.0713170   0.0658065   0.0653390 
+    0.2422826    201.0973350  18.2619856   1.7655697   1.1265006   1.3382960  -0.8764465   2.4148052   0.3558093  -0.1279802  -0.1188944   2.7483308   0.0158423   0.0078454   0.0705431   0.0650818   0.0646055 
+    0.2484952    206.2538527  18.3431236   1.7586980   1.1243875   1.3346510  -0.8723505   2.4026593   0.3538330  -0.1272080  -0.1250113   2.7504458   0.0156279   0.0081198   0.0697769   0.0643745   0.0638790 
+    0.2547817    211.4717160  18.4240974   1.7518801   1.1221923   1.3310647  -0.8681534   2.3905780   0.3521879  -0.1264381  -0.1312694   2.7527074   0.0154091   0.0084002   0.0690321   0.0636830   0.0631381 
+    0.2611418    216.7507286  18.5048641   1.7450990   1.1199158   1.3275285  -0.8638494   2.3784926   0.3509989  -0.1256461  -0.1375480   2.7553378   0.0151913   0.0086865   0.0683072   0.0630079   0.0623981 
+    0.2675754    222.0906917  18.5854191   1.7383049   1.1175640   1.3240136  -0.8594354   2.3664225   0.3505434  -0.1249037  -0.1437663   2.7583722   0.0149815   0.0089786   0.0676000   0.0623486   0.0616813 
+    0.2740822    227.4914042  18.6657913   1.7314339   1.1151437   1.3204573  -0.8549067   2.3544195   0.3509597  -0.1243088  -0.1499216   2.7614832   0.0147851   0.0092765   0.0669126   0.0617041   0.0610025 
+    0.2806620    232.9526628  18.7460385   1.7244352   1.1126556   1.3168361  -0.8502566   2.3425704   0.3520671  -0.1239444  -0.1560086   2.7648078   0.0146058   0.0095803   0.0662329   0.0610729   0.0603572 
+    0.2873144    238.4742619  18.8262250   1.7172728   1.1100930   1.3131517  -0.8454779   2.3308768   0.3535869  -0.1237692  -0.1620859   2.7683748   0.0144420   0.0098906   0.0655639   0.0604539   0.0597369 
+    0.2940393    244.0559936  18.9064215   1.7099488   1.1074483   1.3094371  -0.8405604   2.3193052   0.3552942  -0.1237683  -0.1682346   2.7723059   0.0142959   0.0102078   0.0649057   0.0598449   0.0591386 
+    0.3008364    249.6976478  18.9866684   1.7024672   1.1047141   1.3057343  -0.8355128   2.3077721   0.3570249  -0.1239155  -0.1744501   2.7766846   0.0141509   0.0105323   0.0642572   0.0592445   0.0585487 
+    0.3077054    255.3990120  19.0669225   1.6948602   1.1018753   1.3020196  -0.8303395   2.2962216   0.3587184  -0.1242350  -0.1808222   2.7814866   0.0140023   0.0108640   0.0636271   0.0586524   0.0579825 
+    0.3146461    261.1598716  19.1471562   1.6871892   1.0989049   1.2982317  -0.8250401   2.2845180   0.3603884  -0.1246913  -0.1874738   2.7863125   0.0138510   0.0112026   0.0629939   0.0580668   0.0574314 
+    0.3216582    266.9800097  19.2273049   1.6795488   1.0957819   1.2941874  -0.8196331   2.2726089   0.3623038  -0.1252646  -0.1943547   2.7910304   0.0136905   0.0115472   0.0623525   0.0574868   0.0568518 
+    0.3287415    272.8592072  19.3073167   1.6719736   1.0925089   1.2897230  -0.8141282   2.2605325   0.3645946  -0.1258674  -0.2013686   2.7956230   0.0135282   0.0118968   0.0617146   0.0569129   0.0562418 
+    0.3358957    278.7972427  19.3871759   1.6644230   1.0891080   1.2848648  -0.8085273   2.2484275   0.3674792  -0.1264191  -0.2083755   2.8002550   0.0133725   0.0122509   0.0610989   0.0563471   0.0556193 
+    0.3431204    284.7938927  19.4669547   1.6567654   1.0855937   1.2798232  -0.8028235   2.2364528   0.3709625  -0.1268574  -0.2154196   2.8052497   0.0132394   0.0126093   0.0604968   0.0557900   0.0550205 
+    0.3504156    290.8489314  19.5467741   1.6488855   1.0819548   1.2747737  -0.7969997   2.2246146   0.3748147  -0.1272257  -0.2226283   2.8107383   0.0131293   0.0129728   0.0598917   0.0552418   0.0544627 
+    0.3577808    296.9621308  19.6267508   1.6407200   1.0781760   1.2697477  -0.7910395   2.2128779   0.3787314  -0.1275771  -0.2300955   2.8168006   0.0130377   0.0133433   0.0592785   0.0547003   0.0539281 
+    0.3652157    303.1332608  19.7069339   1.6322510   1.0742527   1.2646396  -0.7849199   2.2012274   0.3828474  -0.1279764  -0.2377405   2.8232949   0.0129488   0.0137221   0.0586884   0.0541639   0.0533931 
+    0.3727203    309.3620890  19.7873068   1.6234450   1.0701851   1.2593927  -0.7786304   2.1897802   0.3871278  -0.1284173  -0.2453611   2.8296937   0.0128565   0.0141108   0.0581180   0.0536302   0.0528618 
+    0.3802940    315.6483809  19.8678018   1.6143165   1.0659731   1.2540028  -0.7721511   2.1785498   0.3913260  -0.1288196  -0.2529639   2.8360376   0.0127516   0.0145103   0.0575584   0.0530978   0.0523247 
+    0.3879367    321.9918999  19.9483423   1.6048977   1.0616130   1.2484434  -0.7654799   2.1673930   0.3951571  -0.1290839  -0.2605038   2.8421065   0.0126407   0.0149207   0.0570033   0.0525640   0.0517674 
+    0.3956480    328.3924071  20.0288707   1.5952136   1.0570947   1.2427586  -0.7586098   2.1560357   0.3985983  -0.1291564  -0.2679815   2.8479049   0.0125211   0.0153418   0.0564405   0.0520263   0.0512161 
+    0.4034278    334.8496615  20.1093351   1.5853908   1.0524083   1.2370290  -0.7515310   2.1442973   0.4018797  -0.1290917  -0.2755376   2.8536262   0.0124034   0.0157743   0.0558656   0.0514870   0.0506652 
+    0.4112755    341.3634200  20.1897933   1.5755039   1.0475490   1.2312892  -0.7441895   2.1321785   0.4052879  -0.1289767  -0.2833393   2.8596573   0.0123048   0.0162193   0.0552889   0.0509477   0.0501229 
+    0.4191911    347.9334374  20.2703701   1.5655144   1.0425080   1.2254867  -0.7365679   2.1197460   0.4087661  -0.1288947  -0.2916255   2.8665280   0.0122259   0.0166781   0.0547175   0.0504049   0.0496044 
+    0.4271742    354.5594664  20.3511179   1.5553640   1.0372683   1.2196051  -0.7286719   2.1070000   0.4120196  -0.1288770  -0.3004798   2.8745370   0.0121445   0.0171509   0.0541588   0.0498559   0.0490875 
+    0.4352244    361.2412574  20.4319358   1.5451744   1.0318202   1.2136767  -0.7205365   2.0938540   0.4149851  -0.1288921  -0.3097349   2.8831438   0.0120420   0.0176369   0.0535728   0.0493017   0.0485443 
+    0.4433415    367.9785589  20.5126588   1.5350401   1.0261787   1.2075821  -0.7121698   2.0803345   0.4178459  -0.1288565  -0.3192636   2.8921775   0.0119187   0.0181346   0.0529715   0.0487455   0.0479809 
+    0.4515252    374.7711172  20.5931817   1.5248571   1.0203612   1.2011228  -0.7035743   2.0666537   0.4206678  -0.1287644  -0.3288212   2.9015281   0.0117918   0.0186431   0.0523644   0.0481925   0.0474337 
+    0.4597752    381.6186767  20.6735228   1.5144978   1.0143727   1.1941604  -0.6947427   2.0528709   0.4232312  -0.1286205  -0.3384624   2.9115931   0.0116764   0.0191614   0.0517510   0.0476440   0.0469146 
+    0.4680911    388.5209794  20.7537502   1.5039569   1.0082153   1.1866290  -0.6856971   2.0389704   0.4253135  -0.1284302  -0.3483407   2.9222849   0.0115711   0.0196890   0.0511578   0.0470954   0.0463968 
+    0.4764727    395.4777656  20.8338808   1.4931855   1.0018825   1.1786098  -0.6764515   2.0247869   0.4269277  -0.1281592  -0.3585224   2.9331455   0.0114651   0.0202258   0.0505632   0.0465428   0.0458660 
+    0.4849195    402.4887733  20.9138779   1.4822000   0.9953623   1.1701407  -0.6670052   2.0102425   0.4283504  -0.1277835  -0.3689742   2.9443713   0.0113541   0.0207721   0.0499621   0.0459826   0.0453223 
+    0.4934314    409.5537385  20.9936704   1.4710132   0.9886469   1.1611759  -0.6573427   1.9952233   0.4299140  -0.1273285  -0.3797297   2.9567371   0.0112327   0.0213290   0.0493438   0.0454149   0.0447585 
+    0.5020080    416.6723953  21.0731902   1.4595923   0.9817524   1.1516715  -0.6474442   1.9798478   0.4318346  -0.1268840  -0.3906683   2.9705634   0.0111101   0.0218969   0.0487335   0.0448422   0.0441829 
+    0.5106489    423.8444757  21.1524734   1.4478368   0.9747013   1.1417387  -0.6372971   1.9643961   0.4339984  -0.1265159  -0.4019140   2.9855797   0.0110018   0.0224758   0.0481219   0.0442659   0.0436244 
+    0.5193539    431.0697095  21.2316247   1.4357428   0.9674860   1.1315157  -0.6269026   1.9489650   0.4358185  -0.1261705  -0.4137697   3.0008353   0.0109104   0.0230656   0.0475223   0.0436843   0.0430795 
+    0.5281226    438.3478249  21.3107273   1.4233964   0.9600542   1.1210967  -0.6162689   1.9332838   0.4368053  -0.1257525  -0.4261863   3.0168636   0.0108271   0.0236665   0.0469258   0.0431003   0.0425224 
+    0.5369547    445.6785477  21.3897835   1.4108950   0.9523485   1.1105676  -0.6054136   1.9169895   0.4369582  -0.1252326  -0.4391686   3.0343698   0.0107399   0.0242784   0.0463019   0.0425160   0.0419418 
+    0.5458498    453.0616020  21.4687236   1.3982364   0.9443523   1.0999517  -0.5943606   1.8998963   0.4366156  -0.1246105  -0.4526159   3.0521710   0.0106429   0.0249003   0.0456572   0.0419296   0.0413450 
+    0.5548076    460.4967098  21.5474759   1.3854198   0.9360918   1.0892831  -0.5831492   1.8822161   0.4362457  -0.1239099  -0.4661774   3.0692978   0.0105403   0.0255302   0.0449906   0.0413386   0.0407254 
+    0.5638279    467.9835912  21.6259872   1.3723154   0.9276238   1.0784596  -0.5718258   1.8641787   0.4358932  -0.1230956  -0.4795880   3.0855102   0.0104321   0.0261655   0.0443345   0.0407414   0.0400951 
+    0.5729101    475.5219643  21.7042202   1.3588745   0.9190088   1.0673491  -0.5604189   1.8458957   0.4355850  -0.1220963  -0.4932661   3.1017191   0.0103249   0.0268044   0.0436786   0.0401379   0.0394599 
+    0.5820541    483.1115454  21.7821819   1.3450657   0.9103061   1.0558044  -0.5489388   1.8274148   0.4352692  -0.1208607  -0.5074081   3.1189659   0.0102190   0.0274463   0.0430208   0.0395287   0.0388412 
+    0.5912594    490.7520485  21.8598479   1.3309813   0.9015418   1.0438004  -0.5373852   1.8088716   0.4348632  -0.1193952  -0.5223146   3.1383542   0.0101117   0.0280913   0.0423725   0.0389142   0.0382619 
+    0.6005257    498.4431861  21.9372304   1.3167237   0.8926674   1.0314685  -0.5257430   1.7902944   0.4342079  -0.1177866  -0.5381251   3.1596354   0.0100128   0.0287394   0.0417116   0.0382961   0.0377121 
+    0.6098526    506.1846687  22.0144008   1.3022974   0.8835942   1.0188472  -0.5140250   1.7716134   0.4332526  -0.1161454  -0.5547057   3.1814007   0.0099259   0.0293897   0.0410457   0.0376748   0.0371804 
+    0.6192399    513.9762047  22.0914175   1.2876991   0.8742393   1.0059181  -0.5022351   1.7526664   0.4317465  -0.1145073  -0.5718517   3.2032365   0.0098431   0.0300420   0.0403546   0.0370497   0.0366182 
+    0.6286871    521.8175008  22.1682635   1.2728937   0.8645618   0.9925732  -0.4903602   1.7332847   0.4295487  -0.1128422  -0.5896540   3.2264385   0.0097573   0.0306977   0.0396522   0.0364195   0.0360248 
+    0.6381939    529.7082619  22.2449270   1.2578111   0.8545609   0.9786615  -0.4783429   1.7133510   0.4266294  -0.1111252  -0.6087019   3.2533788   0.0096747   0.0313590   0.0389480   0.0357784   0.0354217 
+    0.6477600    537.6481907  22.3214224   1.2423979   0.8442645   0.9641300  -0.4661227   1.6927978   0.4229301  -0.1093219  -0.6294051   3.2853795   0.0095937   0.0320292   0.0382219   0.0351241   0.0348163 
+    0.6573849    545.6369884  22.3977264   1.2266067   0.8337116   0.9490393  -0.4536424   1.6716867   0.4181585  -0.1073532  -0.6518445   3.3227405   0.0095077   0.0327111   0.0374754   0.0344559   0.0342026 
+    0.6670683    553.6743542  22.4737704   1.2104098   0.8229357   0.9334678  -0.4408502   1.6499180   0.4123763  -0.1052012  -0.6758925   3.3647107   0.0094141   0.0334068   0.0367238   0.0337763   0.0335778 
+    0.6768099    561.7599855  22.5494966   1.1937360   0.8119479   0.9175048  -0.4277257   1.6274272   0.4056716  -0.1028662  -0.7009930   3.4103259   0.0093161   0.0341172   0.0359833   0.0330892   0.0329640 
+    0.6866093    569.8935779  22.6248444   1.1765693   0.8007226   0.9011900  -0.4143079   1.6041969   0.3983511  -0.1004088  -0.7270968   3.4598610   0.0092101   0.0348401   0.0352390   0.0323957   0.0323386 
+    0.6964661    578.0748251  22.6997304   1.1589422   0.7892395   0.8846529  -0.4006830   1.5804377   0.3907809  -0.0978202  -0.7542472   3.5128980   0.0090948   0.0355718   0.0344601   0.0316967   0.0316942 
+    0.7063799    586.3034192  22.7740425   1.1408640   0.7775162   0.8678339  -0.3869407   1.5563824   0.3831985  -0.0951152  -0.7825267   3.5701241   0.0089641   0.0363083   0.0336700   0.0309926   0.0310378 
+    0.7163504    594.5790503  22.8476158   1.1223345   0.7655910   0.8507072  -0.3731558   1.5320769   0.3754895  -0.0922902  -0.8120696   3.6321126   0.0088133   0.0370467   0.0328587   0.0302828   0.0303733 
+    0.7263772    602.9014068  22.9202728   1.1033917   0.7534981   0.8331777  -0.3593710   1.5075186   0.3676175  -0.0893975  -0.8431904   3.6995171   0.0086462   0.0377844   0.0320677   0.0295638   0.0296840 
+    0.7364599    611.2701755  22.9919308   1.0839768   0.7412449   0.8152669  -0.3456130   1.4826991   0.3593411  -0.0865151  -0.8757838   3.7724805   0.0084800   0.0385198   0.0312770   0.0288362   0.0289789 
+    0.7465982    619.6850413  23.0626045   1.0638604   0.7288340   0.7970716  -0.3318934   1.4576175   0.3503876  -0.0836791  -0.9099481   3.8519249   0.0083181   0.0392521   0.0304724   0.0281045   0.0282871 
+    0.7567916    628.1456872  23.1323122   1.0429480   0.7162699   0.7786763  -0.3181938   1.4322181   0.3405574  -0.0808204  -0.9461879   3.9404083   0.0081607   0.0399824   0.0296568   0.0273708   0.0276242 
+    0.7670398    636.6517949  23.2010450   1.0212931   0.7035495   0.7602541  -0.3044876   1.4064210   0.3298318  -0.0779042  -0.9851190   4.0417540   0.0079980   0.0407121   0.0288146   0.0266349   0.0269550 
+    0.7773423    645.2030440  23.2686935   0.9989859   0.6906766   0.7417254  -0.2907751   1.3802441   0.3183941  -0.0749216  -1.0267052   4.1573566   0.0078220   0.0414415   0.0279573   0.0258948   0.0262831 
+    0.7876989    653.7991126  23.3351356   0.9760866   0.6776498   0.7229419  -0.2770751   1.3536485   0.3063767  -0.0718638  -1.0710167   4.2894268   0.0076354   0.0421694   0.0271045   0.0251495   0.0256289 
+    0.7981091    662.4396771  23.4002856   0.9526441   0.6644493   0.7039336  -0.2634066   1.3265283   0.2938008  -0.0687171  -1.1180805   4.4397242   0.0074448   0.0428941   0.0262436   0.0243987   0.0249708 
+    0.8085725    671.1244121  23.4641130   0.9285563   0.6510750   0.6848004  -0.2497982   1.2990199   0.2806197  -0.0654864  -1.1678163   4.6074472   0.0072538   0.0436145   0.0253880   0.0236425   0.0243060 
+    0.8190887    679.8529906  23.5265907   0.9036571   0.6375555   0.6654852  -0.2362658   1.2712815   0.2666360  -0.0621910  -1.2200388   4.7922594   0.0070619   0.0443296   0.0245350   0.0228817   0.0236604 
+    0.8296573    688.6250842  23.5876815   0.8778920   0.6239188   0.6458565  -0.2228606   1.2434884   0.2517559  -0.0588444  -1.2747099   4.9956323   0.0068647   0.0450375   0.0236910   0.0221160   0.0230463 
+    0.8402780    697.4403624  23.6472650   0.8514042   0.6101569   0.6258984  -0.2096268   1.2155303   0.2359686  -0.0554545  -1.3319772   5.2185471   0.0066502   0.0457362   0.0228503   0.0213495   0.0224300 
+    0.8509503    706.2984934  23.7051398   0.8243793   0.5962476   0.6056818  -0.1966180   1.1872635   0.2194970  -0.0520085  -1.3918485   5.4633354   0.0064133   0.0464232   0.0220014   0.0205841   0.0217903 
+    0.8616738    715.1991436  23.7610945   0.7969064   0.5821849   0.5852762  -0.1838736   1.1585354   0.2025271  -0.0485138  -1.4542276   5.7331798   0.0061578   0.0470958   0.0211646   0.0198204   0.0211400 
+    0.8724482    724.1419781  23.8149797   0.7690545   0.5679565   0.5648451  -0.1714407   1.1293020   0.1853093  -0.0450110  -1.5192024   6.0329365   0.0058923   0.0477513   0.0203313   0.0190581   0.0204770 
+    0.8832729    733.1266600  23.8667045   0.7408626   0.5535468   0.5445324  -0.1593607   1.0995682   0.1681402  -0.0415505  -1.5871665   6.3692738   0.0056207   0.0483873   0.0195011   0.0182963   0.0197927 
+    0.8941477    742.1528512  23.9161818   0.7124152   0.5389542   0.5243838  -0.1476751   1.0694466   0.1513111  -0.0381568  -1.6584923   6.7485122   0.0053415   0.0490020   0.0186674   0.0175361   0.0190912 
+    0.9050721    751.2202117  23.9633458   0.6837851   0.5242122   0.5043398  -0.1363945   1.0391166   0.1349298  -0.0348356  -1.7334244   7.1777660   0.0050626   0.0495944   0.0178331   0.0167787   0.0183946 
+    0.9160457    760.3284003  24.0082034   0.6550541   0.5093830   0.4842771  -0.1255277   1.0087507   0.1190436  -0.0315920  -1.8125394   7.6672007   0.0047878   0.0501639   0.0170121   0.0160269   0.0177023 
+    0.9270680    769.4770740  24.0507519   0.6262984   0.4945241   0.4641441  -0.1150944   0.9785034   0.1036514  -0.0284483  -1.8950067   8.2161696   0.0045143   0.0507099   0.0162193   0.0152841   0.0170268 
+    0.9381387    778.6658883  24.0909723   0.5976114   0.4796569   0.4440556  -0.1051201   0.9483781   0.0888179  -0.0254235  -1.9800721   8.8301288   0.0042395   0.0512312   0.0154428   0.0145524   0.0163557 
+    0.9492574    787.8944973  24.1288184   0.5690925   0.4647921   0.4241764  -0.0956375   0.9184071   0.0746569  -0.0225403  -2.0680667   9.5242320   0.0039628   0.0517265   0.0146831   0.0138331   0.0156871 
+    0.9604235    797.1625535  24.1642631   0.5407878   0.4499390   0.4047195  -0.0866630   0.8886196   0.0611631  -0.0198029  -2.1582665  10.3016032   0.0036860   0.0521949   0.0139364   0.0131265   0.0150226 
+    0.9716368    806.4697080  24.1972830   0.5127774   0.4351131   0.3858215  -0.0782095   0.8590203   0.0483498  -0.0172181  -2.2487038  11.1566893   0.0034108   0.0526358   0.0132026   0.0124338   0.0143701 
+    0.9828968    815.8156105  24.2278982   0.4852102   0.4203323   0.3674772  -0.0702855   0.8295880   0.0363444  -0.0147637  -2.3371535  12.0865128   0.0031418   0.0530484   0.0124860   0.0117556   0.0137063 
+    0.9942030    825.1999089  24.2561443   0.4582235   0.4056159   0.3496078  -0.0629010   0.8004652   0.0253120  -0.0124334  -2.4229193  13.0960930   0.0028798   0.0534323   0.0118009   0.0110920   0.0130509 
+    1.0055551    834.6222501  24.2820803   0.4320068   0.3909583   0.3322019  -0.0560580   0.7716728   0.0152501  -0.0102244  -2.5062429  14.1926234   0.0026266   0.0537876   0.0111404   0.0104443   0.0124122 
+    1.0169526    844.0822793  24.3057552   0.4067931   0.3763530   0.3153042  -0.0497471   0.7431363   0.0061139  -0.0081667  -2.5866687  15.3890144   0.0023805   0.0541145   0.0104692   0.0098124   0.0117826 
+    1.0283950    853.5796402  24.3272386   0.3826691   0.3618445   0.2988974  -0.0439563   0.7150025  -0.0020662  -0.0062741  -2.6606097  16.6828106   0.0021454   0.0544139   0.0098091   0.0091973   0.0111500 
+    1.0398820    863.1139754  24.3466184   0.3595090   0.3475195   0.2829143  -0.0386667   0.6874616  -0.0092301  -0.0045745  -2.7219703  18.0219693   0.0019226   0.0546866   0.0091861   0.0086020   0.0105309 
+    1.0514131    872.6849259  24.3640203   0.3372633   0.3334576   0.2672831  -0.0338516   0.6607673  -0.0153490  -0.0030602  -2.7665471  19.3687276   0.0017164   0.0549341   0.0086022   0.0080302   0.0099341 
+    1.0629879    882.2921312  24.3795766   0.3159820   0.3196931   0.2520410  -0.0294845   0.6350082  -0.0204797  -0.0017265  -2.7940996  20.7426276   0.0015248   0.0551578   0.0080389   0.0074834   0.0093610 
+    1.0746059    891.9352299  24.3934210   0.2957370   0.3062287   0.2372845  -0.0255424   0.6102223  -0.0247260  -0.0005526  -2.8006815  22.1352943   0.0013490   0.0553590   0.0074960   0.0069601   0.0088096 
+    1.0862667    901.6138586  24.4056862   0.2765157   0.2930634   0.2230807  -0.0220011   0.5863447  -0.0281944   0.0004608  -2.7821460  23.5142507   0.0011886   0.0555390   0.0069766   0.0064578   0.0082915 
+    1.0979700    911.3276532  24.4165290   0.2583672   0.2801967   0.2094228  -0.0188383   0.5633850  -0.0309923   0.0013269  -2.7345853  24.8532407   0.0010464   0.0556989   0.0064856   0.0059760   0.0077905 
+    1.1097151    921.0762478  24.4260858   0.2413935   0.2676287   0.1963288  -0.0160325   0.5412697  -0.0331781   0.0020588  -2.6555614  26.1208041   0.0009162   0.0558402   0.0060222   0.0055153   0.0072936 
+    1.1215017    930.8592754  24.4344598   0.2256961   0.2553720   0.1839216  -0.0135581   0.5199781  -0.0347650   0.0026815  -2.5475513  27.3153453   0.0007974   0.0559644   0.0055778   0.0050753   0.0067988 
+    1.1333294    940.6763678  24.4417389   0.2113051   0.2434576   0.1722710  -0.0113896   0.4995250  -0.0357461   0.0032066  -2.4163936  28.4593092   0.0006871   0.0560728   0.0051529   0.0046564   0.0062946 
+    1.1451976    950.5271552  24.4480092   0.1981505   0.2319372   0.1613660  -0.0095028   0.4800832  -0.0361394   0.0036434  -2.2658089  29.4826157   0.0005878   0.0561667   0.0047638   0.0042629   0.0057931 
+    1.1571060    960.4112668  24.4533701   0.1860666   0.2208537   0.1512106  -0.0078785   0.4617407  -0.0360544   0.0039956  -2.0962939  30.3124638   0.0004988   0.0562472   0.0044001   0.0038951   0.0053307 
+    1.1690541    970.3283305  24.4579222   0.1749568   0.2102189   0.1416933  -0.0065024   0.4444804  -0.0356253   0.0042748  -1.9063485  30.8709388   0.0004210   0.0563152   0.0040644   0.0035512   0.0049027 
+    1.1810415    980.2779730  24.4617620   0.1647885   0.2000216   0.1326921  -0.0053550   0.4281973  -0.0349250   0.0044858  -1.7019252  31.1493741   0.0003526   0.0563719   0.0037500   0.0032296   0.0045025 
+    1.1930676    990.2598195  24.4649882   0.1555235   0.1902508   0.1241783  -0.0044026   0.4128176  -0.0339941   0.0046380  -1.4933002  31.2408574   0.0002957   0.0564188   0.0034514   0.0029283   0.0041240 
+    1.2051321   1000.2734944  24.4677009   0.1471215   0.1809125   0.1162073  -0.0036106   0.3983361  -0.0328692   0.0047362  -1.2844497  31.1594755   0.0002475   0.0564577   0.0031727   0.0026484   0.0037558 
+    1.2172345   1010.3186205  24.4699820   0.1394458   0.1720223   0.1087835  -0.0029471   0.3847976  -0.0315909   0.0047865  -1.0633236  30.6575332   0.0002080   0.0564901   0.0029180   0.0023894   0.0034105 
+    1.2293744   1020.3948198  24.4719017   0.1323912   0.1635933   0.1018742  -0.0023915   0.3722089  -0.0302202   0.0047926  -0.8247378  29.4932606   0.0001737   0.0565171   0.0026782   0.0021500   0.0030879 
+    1.2415512   1030.5017127  24.4735044   0.1258431   0.1556345   0.0954847  -0.0019296   0.3605223  -0.0288091   0.0047613  -0.5695932  27.5104025   0.0001444   0.0565395   0.0024525   0.0019306   0.0027941 
+    1.2537645   1040.6389189  24.4748361   0.1197351   0.1481452   0.0896442  -0.0015512   0.3496136  -0.0273944   0.0046961  -0.3235806  25.1284317   0.0001190   0.0565578   0.0022365   0.0017301   0.0025286 
+    1.2660139   1050.8060567  24.4759380   0.1140434   0.1411180   0.0843503  -0.0012467   0.3394185  -0.0259877   0.0046025  -0.1047362  22.8251210   0.0000986   0.0565724   0.0020352   0.0015462   0.0022722 
+    1.2782989   1061.0027432  24.4768574   0.1087116   0.1345436   0.0795110  -0.0010037   0.3298938  -0.0246016   0.0044839   0.0803590  20.6316878   0.0000824   0.0565840   0.0018602   0.0013772   0.0020477 
+    1.2906190   1071.2285946  24.4776366   0.1037173   0.1283967   0.0750458  -0.0008086   0.3210200  -0.0232668   0.0043486   0.2307219  18.4319678   0.0000707   0.0565932   0.0017151   0.0012210   0.0018675 
+    1.3029738   1081.4832259  24.4783137   0.0991114   0.1226325   0.0709411  -0.0006503   0.3126827  -0.0220038   0.0042023   0.3564106  16.3126714   0.0000615   0.0566007   0.0015800   0.0010753   0.0017039 
+    1.3153629   1091.7662509  24.4789071   0.0949071   0.1172116   0.0671751  -0.0005216   0.3048470  -0.0208046   0.0040523   0.4627380  14.4350947   0.0000542   0.0566067   0.0014536   0.0009389   0.0015433 
+    1.3277856   1102.0772826  24.4794312   0.0910535   0.1121130   0.0637127  -0.0004171   0.2974719  -0.0196557   0.0039004   0.5486015  12.9024807   0.0000476   0.0566116   0.0013362   0.0008164   0.0013855 
+    1.3402416   1112.4159328  24.4798943   0.0874738   0.1073270   0.0605029  -0.0003330   0.2905728  -0.0185500   0.0037489   0.6110786  11.5483063   0.0000423   0.0566154   0.0012305   0.0007105   0.0012453 
+    1.3527305   1122.7818121  24.4803092   0.0841253   0.1028447   0.0575291  -0.0002665   0.2841022  -0.0174980   0.0035971   0.6548243  10.3183002   0.0000378   0.0566185   0.0011357   0.0006196   0.0011238 
+    1.3652517   1133.1745304  24.4806837   0.0809747   0.0986527   0.0547824  -0.0002146   0.2780396  -0.0165050   0.0034469   0.6835007   9.2151507   0.0000345   0.0566208   0.0010539   0.0005423   0.0010163 
+    1.3778047   1143.5936963  24.4810294   0.0780004   0.0947342   0.0522533  -0.0001732   0.2723218  -0.0155759   0.0032985   0.6937372   8.2049078   0.0000319   0.0566227   0.0009849   0.0004760   0.0009241 
+    1.3903891   1154.0389175  24.4813540   0.0751944   0.0910699   0.0499268  -0.0001395   0.2669348  -0.0147106   0.0031534   0.6887711   7.3009164   0.0000304   0.0566242   0.0009280   0.0004179   0.0008479 
+    1.4030045   1164.5098009  24.4816649   0.0725550   0.0876412   0.0477914  -0.0001119   0.2618242  -0.0139062   0.0030111   0.6757429   6.5772761   0.0000290   0.0566254   0.0008755   0.0003668   0.0007843 
+    1.4156503   1175.0059522  24.4819634   0.0700801   0.0844322   0.0458252  -0.0000899   0.2569908  -0.0131562   0.0028723   0.6595934   6.0807443   0.0000280   0.0566264   0.0008287   0.0003225   0.0007281 
+    1.4283260   1185.5269762  24.4822532   0.0677607   0.0814289   0.0439990  -0.0000732   0.2523893  -0.0124569   0.0027368   0.6408357   5.7772959   0.0000270   0.0566272   0.0007895   0.0002858   0.0006823 
+    1.4410313   1196.0724768  24.4825339   0.0655697   0.0786160   0.0422886  -0.0000615   0.2480256  -0.0118035   0.0026060   0.6190600   5.5858841   0.0000263   0.0566278   0.0007615   0.0002563   0.0006492 
+    1.4537655   1206.6420569  24.4828083   0.0634889   0.0759745   0.0406851  -0.0000536   0.2438533  -0.0111932   0.0024805   0.5940176   5.4229710   0.0000255   0.0566282   0.0007424   0.0002321   0.0006257 
+    1.4665283   1217.2353187  24.4830757   0.0615061   0.0734846   0.0391812  -0.0000484   0.2398795  -0.0106222   0.0023612   0.5652436   5.2212293   0.0000251   0.0566285   0.0007279   0.0002116   0.0006063 
+    1.4793192   1227.8518633  24.4833393   0.0596185   0.0711291   0.0377678  -0.0000447   0.2360621  -0.0100884   0.0022482   0.5356956   4.9780578   0.0000246   0.0566288   0.0007149   0.0001942   0.0005879 
+    1.4921376   1238.4912910  24.4835996   0.0578186   0.0688957   0.0364390  -0.0000417   0.2324154  -0.0095885   0.0021416   0.5084860   4.7123880   0.0000245   0.0566290   0.0007010   0.0001796   0.0005707 
+    1.5049831   1249.1532012  24.4838593   0.0561022   0.0667757   0.0351887  -0.0000390   0.2289047  -0.0091206   0.0020411   0.4846764   4.4484122   0.0000242   0.0566292   0.0006850   0.0001671   0.0005577 
+    1.5178552   1259.8371926  24.4841171   0.0544635   0.0647624   0.0340087  -0.0000364   0.2255491  -0.0086815   0.0019462   0.4640603   4.2173647   0.0000241   0.0566295   0.0006683   0.0001567   0.0005484 
+    1.5307534   1270.5428628  24.4843743   0.0529025   0.0628496   0.0328883  -0.0000340   0.2223152  -0.0082696   0.0018563   0.4456226   4.0411479   0.0000238   0.0566297   0.0006530   0.0001489   0.0005412 
+    1.5436772   1281.2698088  24.4846290   0.0514128   0.0610307   0.0318215  -0.0000320   0.2192211  -0.0078824   0.0017712   0.4285222   3.9201315   0.0000237   0.0566300   0.0006406   0.0001440   0.0005350 
+    1.5566262   1292.0176267  24.4848828   0.0499913   0.0592988   0.0308045  -0.0000302   0.2162334  -0.0075184   0.0016904   0.4123597   3.8327854   0.0000234   0.0566302   0.0006309   0.0001412   0.0005296 
+    1.5695999   1302.7859120  24.4851341   0.0486299   0.0576466   0.0298357  -0.0000287   0.2133711  -0.0071755   0.0016140   0.3973069   3.7649624   0.0000233   0.0566305   0.0006232   0.0001396   0.0005245 
+    1.5825977   1313.5742591  24.4853848   0.0473271   0.0560676   0.0289112  -0.0000274   0.2106026  -0.0068525   0.0015416   0.3837099   3.7105384   0.0000231   0.0566307   0.0006165   0.0001386   0.0005197 
+    1.5956192   1324.3822619  24.4856332   0.0460764   0.0545562   0.0280282  -0.0000262   0.2079480  -0.0065476   0.0014732   0.3713942   3.6657332   0.0000230   0.0566309   0.0006102   0.0001377   0.0005151 
+    1.6086639   1335.2095135  24.4858811   0.0448771   0.0531075   0.0271829  -0.0000250   0.2053774  -0.0062599   0.0014085   0.3602356   3.6281343   0.0000227   0.0566312   0.0006041   0.0001370   0.0005107 
+    1.6217313   1346.0556062  24.4861268   0.0437230   0.0517176   0.0263731  -0.0000240   0.2029112  -0.0059878   0.0013472   0.3499138   3.5953038   0.0000227   0.0566314   0.0005981   0.0001363   0.0005064 
+    1.6348209   1356.9201317  24.4863719   0.0426144   0.0503827   0.0255962  -0.0000230   0.2005206  -0.0057306   0.0012892   0.3404801   3.5670387   0.0000224   0.0566317   0.0005922   0.0001355   0.0005022 
+    1.6479323   1367.8026810  24.4866147   0.0415457   0.0490997   0.0248503  -0.0000221   0.1982262  -0.0054870   0.0012342   0.3316312   3.5421647   0.0000223   0.0566319   0.0005862   0.0001348   0.0004980 
+    1.6610648   1378.7028443  24.4868569   0.0405180   0.0478657   0.0241334  -0.0000212   0.1960001  -0.0052564   0.0011821   0.3235166   3.5201762   0.0000221   0.0566322   0.0005804   0.0001340   0.0004939 
+    1.6742181   1389.6202112  24.4870968   0.0395259   0.0466782   0.0234440  -0.0000204   0.1938630  -0.0050377   0.0011326   0.3158141   3.5001408   0.0000220   0.0566324   0.0005746   0.0001333   0.0004898 
+    1.6873916   1400.5543708  24.4873362   0.0385708   0.0455347   0.0227804  -0.0000196   0.1917877  -0.0048304   0.0010856   0.3087486   3.4826236   0.0000217   0.0566327   0.0005689   0.0001325   0.0004857 
+    1.7005848   1411.5049113  24.4875732   0.0376477   0.0444330   0.0221415  -0.0000189   0.1897949  -0.0046336   0.0010410   0.3019669   3.4667419   0.0000216   0.0566330   0.0005633   0.0001318   0.0004816 
+    1.7137973   1422.4714204  24.4878096   0.0367582   0.0433711   0.0215258  -0.0000182   0.1878582  -0.0044467   0.0009986   0.2957587   3.4525689   0.0000214   0.0566332   0.0005577   0.0001310   0.0004776 
+    1.7270285   1433.4534854  24.4880437   0.0358976   0.0423471   0.0209324  -0.0000176   0.1859981  -0.0042691   0.0009583   0.2897331   3.4392183   0.0000213   0.0566335   0.0005521   0.0001303   0.0004736 
+    1.7402780   1444.4506926  24.4882772   0.0350677   0.0413592   0.0203599  -0.0000170   0.1841890  -0.0041003   0.0009199   0.2842384   3.4276821   0.0000211   0.0566338   0.0005466   0.0001295   0.0004696 
+    1.7535452   1455.4626281  24.4885084   0.0342638   0.0404057   0.0198076  -0.0000164   0.1824511  -0.0039397   0.0008833   0.2788431   3.4163888   0.0000210   0.0566340   0.0005411   0.0001287   0.0004657 
+    1.7668297   1466.4888773  24.4887389   0.0334882   0.0394850   0.0192742  -0.0000158   0.1807597  -0.0037869   0.0008485   0.2739504   3.4066220   0.0000208   0.0566343   0.0005356   0.0001279   0.0004617 
+    1.7801309   1477.5290251  24.4889671   0.0327361   0.0385958   0.0187593  -0.0000154   0.1791347  -0.0036413   0.0008153   0.2690867   3.3969519   0.0000207   0.0566346   0.0005302   0.0001272   0.0004578 
+    1.7934483   1488.5826557  24.4891947   0.0320100   0.0377367   0.0182616  -0.0000149   0.1775520  -0.0035028   0.0007837   0.2647083   3.3880731   0.0000204   0.0566348   0.0005249   0.0001264   0.0004539 
+    1.8067815   1499.6493531  24.4894200   0.0313053   0.0369063   0.0177807  -0.0000144   0.1760312  -0.0033706   0.0007535   0.2602963   3.3796150   0.0000204   0.0566351   0.0005195   0.0001256   0.0004501 
+    1.8201299   1510.7287005  24.4896446   0.0306247   0.0361034   0.0173156  -0.0000140   0.1745490  -0.0032447   0.0007247   0.2563598   3.3729463   0.0000201   0.0566354   0.0005142   0.0001248   0.0004462 
+    1.8334931   1521.8202809  24.4898669   0.0299634   0.0353269   0.0168658  -0.0000136   0.1731246  -0.0031244   0.0006972   0.2523360   3.3650224   0.0000200   0.0566357   0.0005090   0.0001240   0.0004424 
+    1.8468705   1532.9236766  24.4900886   0.0293245   0.0345757   0.0164306  -0.0000132   0.1717354  -0.0030098   0.0006709   0.2487838   3.3584933   0.0000198   0.0566359   0.0005037   0.0001232   0.0004386 
+    1.8602616   1544.0384697  24.4903080   0.0287032   0.0338488   0.0160094  -0.0000128   0.1704004  -0.0029002   0.0006457   0.2450940   3.3526018   0.0000197   0.0566362   0.0004985   0.0001224   0.0004347 
+    1.8736660   1555.1642416  24.4905267   0.0281026   0.0331451   0.0156015  -0.0000124   0.1690975  -0.0027956   0.0006217   0.2418785   3.3457187   0.0000195   0.0566365   0.0004933   0.0001216   0.0004310 
+    1.8870831   1566.3005734  24.4907431   0.0275182   0.0324638   0.0152066  -0.0000121   0.1678452  -0.0026955   0.0005987   0.2384786   3.3408842   0.0000194   0.0566368   0.0004882   0.0001208   0.0004272 
+    1.9005123   1577.4470460  24.4909588   0.0269530   0.0318041   0.0148240  -0.0000118   0.1666224  -0.0026000   0.0005767   0.2355592   3.3344425   0.0000192   0.0566370   0.0004831   0.0001200   0.0004234 
+    1.9139534   1588.6032396  24.4911723   0.0264025   0.0311650   0.0144533  -0.0000115   0.1654469  -0.0025085   0.0005556   0.2324138   3.3279731   0.0000191   0.0566373   0.0004779   0.0001192   0.0004196 
+    1.9274056   1599.7687342  24.4913851   0.0258699   0.0305457   0.0140939  -0.0000112   0.1642984  -0.0024211   0.0005354   0.2297556   3.3235223   0.0000189   0.0566376   0.0004729   0.0001183   0.0004159 
+    1.9408685   1610.9431094  24.4915956   0.0253508   0.0299456   0.0137455  -0.0000109   0.1631943  -0.0023372   0.0005161   0.2268314   3.3188303   0.0000188   0.0566378   0.0004678   0.0001175   0.0004122 
+    1.9543416   1622.1259446  24.4918055   0.0248486   0.0293639   0.0134077  -0.0000107   0.1621148  -0.0022571   0.0004975   0.2244072   3.3145445   0.0000186   0.0566381   0.0004628   0.0001167   0.0004085 
+    1.9678244   1633.3168187  24.4920131   0.0243585   0.0287998   0.0130800  -0.0000104   0.1610770  -0.0021802   0.0004797   0.2216804   3.3063345   0.0000185   0.0566384   0.0004578   0.0001159   0.0004047 
+    1.9813164   1644.5153103  24.4922200   0.0238843   0.0282529   0.0127621  -0.0000102   0.1600618  -0.0021067   0.0004627   0.2194641   3.3060133   0.0000183   0.0566387   0.0004528   0.0001151   0.0004010 
+    1.9948170   1655.7209979  24.4924247   0.0234212   0.0277224   0.0124536  -0.0000100   0.1590857  -0.0020360   0.0004463   0.2169087   3.3008680   0.0000183   0.0566389   0.0004478   0.0001142   0.0003973 
+    2.0083258   1666.9334596  24.4926287   0.0229730   0.0272077   0.0121542  -0.0000097   0.1581303  -0.0019684   0.0004305   0.0000000   3.0000000   0.0000181   0.0566392   0.0004429   0.0001134   0.0003937 
+    2.0218423   1678.1522732  24.4928305   0.0225349   0.0267084   0.0118635  -0.0000095   0.1572116  -0.0019034   0.0004154   0.0000000   3.0000000   0.0000180   0.0566395   0.0004380   0.0001126   0.0003900 
+    2.0353659   1689.3770163  24.4930316   0.0221108   0.0262237   0.0115812  -0.0000093   0.1563119  -0.0018411   0.0004009   0.0000000   3.0000000   0.0000178   0.0566397   0.0004331   0.0001117   0.0003863 
+    2.0488961   1700.6072663  24.4932305   0.0216961   0.0257533   0.0113071  -0.0000092   0.1554466  -0.0017812   0.0003870   0.0000000   3.0000000   0.0000177   0.0566400   0.0004282   0.0001109   0.0003827 
+    2.0624325   1711.8426005  24.4934287   0.0212944   0.0252967   0.0110408  -0.0000090   0.1545989  -0.0017239   0.0003735   0.0000000   3.0000000   0.0000175   0.0566402   0.0004234   0.0001101   0.0003791 
+    2.0759744   1723.0825958  24.4936247   0.0209014   0.0248532   0.0107821  -0.0000088   0.1537835  -0.0016686   0.0003606   0.0000000   3.0000000   0.0000174   0.0566405   0.0004185   0.0001092   0.0003754 
+    2.0895215   1734.3268290  24.4938201   0.0205206   0.0244226   0.0105307  -0.0000086   0.1529842  -0.0016157   0.0003482   0.0000000   3.0000000   0.0000173   0.0566408   0.0004137   0.0001084   0.0003718 
+    2.1030732   1745.5748769  24.4940133   0.0201478   0.0240043   0.0102863  -0.0000085   0.1522153  -0.0015646   0.0003362   0.0000000   3.0000000   0.0000172   0.0566410   0.0004089   0.0001075   0.0003682 
+    2.1166290   1756.8263158  24.4942059   0.0197865   0.0235980   0.0100488  -0.0000083   0.1514612  -0.0015157   0.0003247   0.0000000   3.0000000   0.0000170   0.0566413   0.0004042   0.0001067   0.0003646 
+    2.1301883   1768.0807223  24.4943962   0.0194325   0.0232033   0.0098179  -0.0000082   0.1507358  -0.0014684   0.0003136   0.0000000   3.0000000   0.0000169   0.0566415   0.0003994   0.0001059   0.0003610 
+    2.1437507   1779.3376725  24.4945859   0.0190895   0.0228197   0.0095934  -0.0000080   0.1500239  -0.0014231   0.0003029   0.0000000   3.0000000   0.0000167   0.0566418   0.0003947   0.0001050   0.0003574 
+    2.1573157   1790.5967428  24.4947735   0.0187530   0.0224468   0.0093750  -0.0000079   0.1493390  -0.0013794   0.0002926   0.0000000   3.0000000   0.0000166   0.0566420   0.0003900   0.0001042   0.0003539 
+    2.1708827   1801.8575090  24.4949604   0.0184270   0.0220845   0.0091627  -0.0000077   0.1486667  -0.0013374   0.0002827   0.0000000   3.0000000   0.0000165   0.0566423   0.0003853   0.0001033   0.0003503 
+    2.1844512   1813.1195474  24.4951452   0.0181070   0.0217322   0.0089561  -0.0000076   0.1480197  -0.0012968   0.0002731   0.0000000   3.0000000   0.0000164   0.0566425   0.0003806   0.0001025   0.0003468 
+    2.1980208   1824.3824339  24.4953294   0.0177969   0.0213897   0.0087550  -0.0000075   0.1473843  -0.0012579   0.0002639   0.0000000   3.0000000   0.0000162   0.0566428   0.0003760   0.0001016   0.0003432 
+    2.2115908   1835.6457445  24.4955114   0.0174922   0.0210566   0.0085595  -0.0000074   0.1467728  -0.0012202   0.0002550   0.0000000   3.0000000   0.0000161   0.0566430   0.0003714   0.0001008   0.0003397 
+    2.2251609   1846.9090550  24.4956929   0.0171970   0.0207327   0.0083691  -0.0000073   0.1461719  -0.0011840   0.0002463   0.0000000   3.0000000   0.0000160   0.0566433   0.0003668   0.0000999   0.0003362 
+    2.2387304   1858.1719415  24.4958721   0.0169067   0.0204177   0.0081838  -0.0000071   0.1455936  -0.0011490   0.0002380   0.0000000   3.0000000   0.0000159   0.0566435   0.0003622   0.0000990   0.0003327 
+    2.2522990   1869.4339799  24.4960509   0.0166254   0.0201112   0.0080035  -0.0000070   0.1450252  -0.0011154   0.0002300   0.0000000   3.0000000   0.0000158   0.0566438   0.0003576   0.0000982   0.0003292 
+    2.2658660   1880.6947462  24.4962275   0.0163486   0.0198131   0.0078279  -0.0000069   0.1444779  -0.0010828   0.0002222   0.0000000   3.0000000   0.0000157   0.0566440   0.0003531   0.0000973   0.0003257 
+    2.2794309   1891.9538164  24.4964036   0.0160803   0.0195230   0.0076569  -0.0000068   0.1439398  -0.0010515   0.0002147   0.0000000   3.0000000   0.0000155   0.0566442   0.0003486   0.0000965   0.0003223 
+    2.2929933   1903.2107666  24.4965775   0.0158162   0.0192407   0.0074904  -0.0000067   0.1434217  -0.0010211   0.0002075   0.0000000   3.0000000   0.0000154   0.0566445   0.0003441   0.0000956   0.0003188 
+    2.3065527   1914.4651731  24.4967510   0.0155602   0.0189660   0.0073283  -0.0000066   0.1429121  -0.0009920   0.0002005   0.0000000   3.0000000   0.0000153   0.0566447   0.0003396   0.0000948   0.0003154 
+    2.3201084   1925.7166120  24.4969223   0.0153080   0.0186986   0.0071704  -0.0000066   0.1424213  -0.0009636   0.0001937   0.0000000   3.0000000   0.0000152   0.0566449   0.0003352   0.0000939   0.0003120 
+    2.3336601   1936.9646599  24.4970931   0.0150634   0.0184383   0.0070166  -0.0000065   0.1419384  -0.0009364   0.0001871   0.0000000   3.0000000   0.0000151   0.0566452   0.0003308   0.0000931   0.0003086 
+    2.3472072   1948.2088931  24.4972618   0.0148223   0.0181849   0.0068667  -0.0000064   0.1414732  -0.0009100   0.0001808   0.0000000   3.0000000   0.0000150   0.0566454   0.0003264   0.0000922   0.0003052 
+    2.3607492   1959.4488884  24.4974301   0.0145885   0.0179381   0.0067207  -0.0000063   0.1410154  -0.0008846   0.0001746   0.0000000   3.0000000   0.0000149   0.0566456   0.0003221   0.0000914   0.0003018 
+    2.3742855   1970.6842226  24.4975962   0.0143579   0.0176979   0.0065784  -0.0000062   0.1405743  -0.0008598   0.0001687   0.0000000   3.0000000   0.0000148   0.0566458   0.0003177   0.0000905   0.0002984 
+    2.3878158   1981.9144726  24.4977619   0.0141343   0.0174639   0.0064398  -0.0000061   0.1401401  -0.0008361   0.0001629   0.0000000   3.0000000   0.0000147   0.0566461   0.0003134   0.0000896   0.0002951 
+    2.4013394   1993.1392157  24.4979255   0.0139135   0.0172361   0.0063046  -0.0000061   0.1397216  -0.0008130   0.0001573   0.0000000   3.0000000   0.0000146   0.0566463   0.0003092   0.0000888   0.0002917 
+    2.4148558   2004.3580293  24.4980887   0.0136994   0.0170141   0.0061729  -0.0000060   0.1393096  -0.0007908   0.0001519   0.0000000   3.0000000   0.0000145   0.0566465   0.0003049   0.0000879   0.0002884 
+    2.4283646   2015.5704910  24.4982498   0.0134880   0.0167979   0.0060445  -0.0000059   0.1389124  -0.0007691   0.0001466   0.0000000   3.0000000   0.0000144   0.0566467   0.0003007   0.0000871   0.0002851 
+    2.4418653   2026.7761786  24.4984105   0.0132829   0.0165873   0.0059194  -0.0000058   0.1385212  -0.0007483   0.0001415   0.0000000   3.0000000   0.0000143   0.0566469   0.0002965   0.0000862   0.0002818 
+    2.4553572   2037.9746702  24.4985692   0.0130801   0.0163821   0.0057974  -0.0000058   0.1381440  -0.0007280   0.0001366   0.0000000   3.0000000   0.0000142   0.0566471   0.0002924   0.0000854   0.0002786 
+    2.4688400   2049.1655443  24.4987274   0.0128834   0.0161821   0.0056784  -0.0000057   0.1377725  -0.0007085   0.0001318   0.0000000   3.0000000   0.0000141   0.0566473   0.0002883   0.0000845   0.0002753 
+    2.4823131   2060.3483795  24.4988837   0.0126889   0.0159872   0.0055624  -0.0000056   0.1374141  -0.0006894   0.0001271   0.0000000   3.0000000   0.0000140   0.0566475   0.0002842   0.0000837   0.0002721 
+    2.4957761   2071.5227547  24.4990395   0.0125002   0.0157973   0.0054492  -0.0000056   0.1370611  -0.0006711   0.0001226   0.0000000   3.0000000   0.0000139   0.0566477   0.0002801   0.0000828   0.0002689 
+    2.5092283   2082.6882493  24.4991934   0.0123135   0.0156122   0.0053389  -0.0000055   0.1367205  -0.0006532   0.0001182   0.0000000   3.0000000   0.0000138   0.0566479   0.0002761   0.0000820   0.0002657 
+    2.5226693   2093.8444429  24.4993468   0.0121323   0.0154318   0.0052313  -0.0000054   0.1363849  -0.0006360   0.0001139   0.0000000   3.0000000   0.0000137   0.0566481   0.0002722   0.0000811   0.0002626 
+    2.5360986   2104.9909155  24.4994983   0.0119529   0.0152559   0.0051263  -0.0000054   0.1360610  -0.0006192   0.0001098   0.0000000   3.0000000   0.0000136   0.0566483   0.0002682   0.0000803   0.0002595 
+    2.5495157   2116.1272473  24.4996494   0.0117788   0.0150844   0.0050239  -0.0000053   0.1357419  -0.0006030   0.0001057   0.0000000   3.0000000   0.0000135   0.0566485   0.0002643   0.0000794   0.0002563 
+    2.5629200   2127.2530192  24.4997985   0.0116062   0.0149172   0.0049239  -0.0000053   0.1354338  -0.0005872   0.0001018   0.0000000   3.0000000   0.0000134   0.0566487   0.0002605   0.0000786   0.0002533 
+    2.5763112   2138.3678123  24.4999473   0.0114388   0.0147542   0.0048265  -0.0000052   0.1351303  -0.0005720   0.0000980   0.0000000   3.0000000   0.0000133   0.0566489   0.0002567   0.0000778   0.0002502 
+    2.5896886   2149.4712080  24.5000942   0.0112728   0.0145952   0.0047313  -0.0000051   0.1348370  -0.0005571   0.0000943   0.0000000   3.0000000   0.0000132   0.0566491   0.0002529   0.0000769   0.0002472 
+    2.6030517   2160.5627884  24.5002407   0.0111118   0.0144402   0.0046385  -0.0000051   0.1345482  -0.0005428   0.0000907   0.0000000   3.0000000   0.0000131   0.0566493   0.0002492   0.0000761   0.0002441 
+    2.6164002   2171.6421358  24.5003853   0.0109519   0.0142889   0.0045479  -0.0000050   0.1342690  -0.0005287   0.0000872   0.0000000   3.0000000   0.0000130   0.0566495   0.0002455   0.0000752   0.0002412 
+    2.6297333   2182.7088332  24.5005296   0.0107968   0.0141414   0.0044595  -0.0000050   0.1339940  -0.0005153   0.0000838   0.0000000   3.0000000   0.0000130   0.0566497   0.0002419   0.0000744   0.0002382 
+    2.6430508   2193.7624638  24.5006720   0.0106429   0.0139976   0.0043732  -0.0000049   0.1337282  -0.0005020   0.0000805   0.0000000   3.0000000   0.0000129   0.0566498   0.0002383   0.0000736   0.0002353 
+    2.6563520   2204.8026116  24.5008140   0.0104934   0.0138572   0.0042889  -0.0000049   0.1334663  -0.0004893   0.0000773   0.0000000   3.0000000   0.0000128   0.0566500   0.0002347   0.0000727   0.0002324 
+    2.6696364   2215.8288608  24.5009543   0.0103449   0.0137203   0.0042067  -0.0000048   0.1332130  -0.0004768   0.0000741   0.0000000   3.0000000   0.0000127   0.0566502   0.0002313   0.0000719   0.0002295 
+    2.6829036   2226.8407963  24.5010941   0.0102009   0.0135866   0.0041264  -0.0000048   0.1329635  -0.0004648   0.0000710   0.0000000   3.0000000   0.0000126   0.0566504   0.0002278   0.0000711   0.0002267 
+    2.6961531   2237.8380036  24.5012322   0.0100576   0.0134563   0.0040480  -0.0000047   0.1327222  -0.0004530   0.0000681   0.0000000   3.0000000   0.0000125   0.0566505   0.0002245   0.0000703   0.0002239 
+    2.7093843   2248.8200685  24.5013699   0.0099186   0.0133291   0.0039714  -0.0000047   0.1324844  -0.0004417   0.0000651   0.0000000   3.0000000   0.0000125   0.0566507   0.0002211   0.0000694   0.0002211 
+    2.7225968   2259.7865776  24.5015059   0.0097803   0.0132049   0.0038967  -0.0000046   0.1322543  -0.0004305   0.0000623   0.0000000   3.0000000   0.0000124   0.0566509   0.0002179   0.0000686   0.0002184 
+    2.7357901   2270.7371181  24.5016415   0.0096461   0.0130837   0.0038237  -0.0000046   0.1320277  -0.0004198   0.0000595   0.0000000   3.0000000   0.0000123   0.0566510   0.0002147   0.0000678   0.0002157 
+    2.7489636   2281.6712777  24.5017754   0.0095125   0.0129655   0.0037524  -0.0000045   0.1318083  -0.0004093   0.0000568   0.0000000   3.0000000   0.0000122   0.0566512   0.0002116   0.0000670   0.0002130 
+    2.7621168   2292.5886446  24.5019089   0.0093828   0.0128500   0.0036827  -0.0000045   0.1315923  -0.0003991   0.0000542   0.0000000   3.0000000   0.0000122   0.0566514   0.0002085   0.0000662   0.0002104 
+    2.7752494   2303.4888079  24.5020408   0.0092537   0.0127373   0.0036147  -0.0000045   0.1313829  -0.0003891   0.0000516   0.0000000   3.0000000   0.0000121   0.0566515   0.0002055   0.0000654   0.0002078 
+    2.7883607   2314.3713572  24.5021723   0.0091283   0.0126273   0.0035482  -0.0000044   0.1311769  -0.0003796   0.0000491   0.0000000   3.0000000   0.0000120   0.0566517   0.0002025   0.0000646   0.0002053 
+    2.8014503   2325.2358827  24.5023021   0.0090035   0.0125199   0.0034832  -0.0000044   0.1309772  -0.0003701   0.0000467   0.0000000   3.0000000   0.0000119   0.0566518   0.0001997   0.0000638   0.0002028 
+    2.8145177   2336.0819754  24.5024316   0.0088822   0.0124150   0.0034198  -0.0000043   0.1307807  -0.0003610   0.0000443   0.0000000   3.0000000   0.0000119   0.0566520   0.0001969   0.0000630   0.0002003 
+    2.8275624   2346.9092270  24.5025595   0.0087613   0.0123126   0.0033578  -0.0000043   0.1305900  -0.0003521   0.0000419   0.0000000   3.0000000   0.0000118   0.0566521   0.0001941   0.0000622   0.0001979 
+    2.8405839   2357.7172298  24.5026869   0.0086439   0.0122127   0.0032972  -0.0000042   0.1304025  -0.0003435   0.0000397   0.0000000   3.0000000   0.0000118   0.0566523   0.0001915   0.0000614   0.0001955 
+    2.8535817   2368.5055769  24.5028129   0.0085269   0.0121150   0.0032379  -0.0000042   0.1302205  -0.0003350   0.0000374   0.0000000   3.0000000   0.0000116   0.0566524   0.0001889   0.0000606   0.0001932 
+    2.8665554   2379.2738622  24.5029384   0.0084132   0.0120197   0.0031800  -0.0000041   0.1300416  -0.0003268   0.0000352   0.0000000   3.0000000   0.0000116   0.0566526   0.0001864   0.0000598   0.0001909 
+    2.8795044   2390.0216801  24.5030624   0.0082998   0.0119266   0.0031234  -0.0000041   0.1298678  -0.0003188   0.0000331   0.0000000   3.0000000   0.0000115   0.0566527   0.0001840   0.0000590   0.0001887 
+    2.8924283   2400.7486261  24.5031860   0.0081896   0.0118356   0.0030681  -0.0000041   0.1296970  -0.0003111   0.0000310   0.0000000   3.0000000   0.0000115   0.0566529   0.0001817   0.0000582   0.0001865 
+    2.9053265   2411.4542963  24.5033081   0.0080797   0.0117468   0.0030139  -0.0000040   0.1295310  -0.0003034   0.0000290   0.0000000   3.0000000   0.0000114   0.0566530   0.0001794   0.0000575   0.0001843 
+    2.9181986   2422.1382877  24.5034299   0.0079728   0.0116600   0.0029610  -0.0000040   0.1293680  -0.0002961   0.0000270   0.0000000   3.0000000   0.0000114   0.0566531   0.0001773   0.0000567   0.0001822 
+    2.9310441   2432.8001979  24.5035501   0.0078662   0.0115752   0.0029093  -0.0000039   0.1292094  -0.0002888   0.0000250   0.0000000   3.0000000   0.0000113   0.0566533   0.0001752   0.0000559   0.0001802 
+    2.9438625   2443.4396256  24.5036700   0.0077625   0.0114924   0.0028587  -0.0000039   0.1290538  -0.0002818   0.0000231   0.0000000   3.0000000   0.0000112   0.0566534   0.0001732   0.0000552   0.0001782 
+    2.9566533   2454.0561702  24.5037885   0.0076590   0.0114115   0.0028091  -0.0000039   0.1289023  -0.0002749   0.0000213   0.0000000   3.0000000   0.0000111   0.0566535   0.0001713   0.0000544   0.0001763 
+    2.9694161   2464.6494320  24.5039065   0.0075584   0.0113325   0.0027607  -0.0000038   0.1287536  -0.0002683   0.0000194   0.0000000   3.0000000   0.0000111   0.0566537   0.0001695   0.0000537   0.0001745 
+    2.9821504   2475.2190121  24.5040232   0.0074579   0.0112553   0.0027133  -0.0000038   0.1286088  -0.0002617   0.0000176   0.0000000   3.0000000   0.0000110   0.0566538   0.0001678   0.0000529   0.0001727 
+    2.9948556   2485.7645127  24.5041394   0.0073601   0.0111798   0.0026669  -0.0000037   0.1284669  -0.0002555   0.0000159   0.0000000   3.0000000   0.0000110   0.0566539   0.0001662   0.0000522   0.0001709 
+    3.0075314   2496.2855367  24.5042543   0.0072625   0.0111061   0.0026216  -0.0000037   0.1283285  -0.0002492   0.0000142   0.0000000   3.0000000   0.0000109   0.0566540   0.0001647   0.0000514   0.0001692 
+    3.0201772   2506.7816880  24.5043688   0.0071675   0.0110341   0.0025771  -0.0000037   0.1281929  -0.0002432   0.0000125   0.0000000   3.0000000   0.0000109   0.0566541   0.0001633   0.0000507   0.0001676 
+    3.0327925   2517.2525714  24.5044819   0.0070726   0.0109637   0.0025336  -0.0000036   0.1280606  -0.0002373   0.0000108   0.0000000   3.0000000   0.0000108   0.0566543   0.0001620   0.0000500   0.0001660 
+    3.0453769   2527.6977926  24.5045947   0.0069802   0.0108949   0.0024911  -0.0000036   0.1279311  -0.0002316   0.0000092   0.0000000   3.0000000   0.0000108   0.0566544   0.0001608   0.0000492   0.0001645 
+    3.0579300   2538.1169585  24.5047061   0.0068879   0.0108276   0.0024494  -0.0000036   0.1278046  -0.0002259   0.0000076   0.0000000   3.0000000   0.0000107   0.0566545   0.0001597   0.0000485   0.0001631 
+    3.0704512   2548.5096768  24.5048172   0.0067980   0.0107619   0.0024086  -0.0000035   0.1276808  -0.0002205   0.0000061   0.0000000   3.0000000   0.0000107   0.0566546   0.0001587   0.0000478   0.0001617 
+    3.0829400   2558.8755561  24.5049269   0.0067082   0.0106977   0.0023686  -0.0000035   0.1275599  -0.0002151   0.0000045   0.0000000   3.0000000   0.0000106   0.0566547   0.0001578   0.0000471   0.0001604 
+    3.0953960   2569.2142063  24.5050363   0.0066207   0.0106349   0.0023295  -0.0000035   0.1274417  -0.0002100   0.0000030   0.0000000   3.0000000   0.0000106   0.0566548   0.0001570   0.0000464   0.0001592 
+    3.1078188   2579.5252380  24.5051444   0.0065332   0.0105736   0.0022911  -0.0000034   0.1273261  -0.0002048   0.0000016   0.0000000   3.0000000   0.0000105   0.0566549   0.0001563   0.0000457   0.0001580 
+    3.1202078   2589.8082630  24.5052521   0.0064481   0.0105136   0.0022535  -0.0000034   0.1272131  -0.0001999   0.0000001   0.0000000   3.0000000   0.0000105   0.0566550   0.0001557   0.0000450   0.0001569 
+    3.1325626   2600.0628943  24.5053586   0.0063629   0.0104550   0.0022167  -0.0000033   0.1271025  -0.0001950  -0.0000013   0.0000000   3.0000000   0.0000103   0.0566552   0.0001552   0.0000443   0.0001559 
+    3.1448827   2610.2887457  24.5054646   0.0062799   0.0103977   0.0021806  -0.0000033   0.1269946  -0.0001904  -0.0000027   0.0000000   3.0000000   0.0000104   0.0566553   0.0001548   0.0000436   0.0001549 
+    3.1571677   2620.4854322  24.5055695   0.0061969   0.0103417   0.0021452  -0.0000033   0.1268889  -0.0001857  -0.0000040   0.0000000   3.0000000   0.0000103   0.0566554   0.0001545   0.0000429   0.0001540 
+    3.1694171   2630.6525700  24.5056740   0.0061160   0.0102870   0.0021105  -0.0000032   0.1267857  -0.0001812  -0.0000054   0.0000000   3.0000000   0.0000103   0.0566555   0.0001543   0.0000423   0.0001532 
+    3.1816305   2640.7897762  24.5057773   0.0060351   0.0102335   0.0020765  -0.0000032   0.1266846  -0.0001768  -0.0000067   0.0000000   3.0000000   0.0000102   0.0566556   0.0001541   0.0000416   0.0001524 
+    3.1938073   2650.8966692  24.5058802   0.0059563   0.0101811   0.0020432  -0.0000032   0.1265860  -0.0001725  -0.0000080   0.0000000   3.0000000   0.0000102   0.0566556   0.0001541   0.0000409   0.0001517 
+    3.2059471   2660.9728684  24.5059819   0.0058773   0.0101300   0.0020105  -0.0000031   0.1264893  -0.0001683  -0.0000093   0.0000000   3.0000000   0.0000101   0.0566557   0.0001542   0.0000403   0.0001511 
+    3.2180495   2671.0179945  24.5060832   0.0058004   0.0100800   0.0019784  -0.0000031   0.1263952  -0.0001642  -0.0000105   0.0000000   3.0000000   0.0000101   0.0566558   0.0001543   0.0000396   0.0001505 
+    3.2301140   2681.0316694  24.5061835   0.0057234   0.0100311   0.0019469  -0.0000031   0.1263026  -0.0001602  -0.0000118   0.0000000   3.0000000   0.0000100   0.0566559   0.0001546   0.0000390   0.0001500 
+    3.2421402   2691.0135159  24.5062832   0.0056483   0.0099833   0.0019160  -0.0000030   0.1262127  -0.0001563  -0.0000130   0.0000000   3.0000000   0.0000100   0.0566560   0.0001549   0.0000384   0.0001496 
+    3.2541275   2700.9631584  24.5063820   0.0055732   0.0099366   0.0018857  -0.0000030   0.1261242  -0.0001524  -0.0000142   0.0000000   3.0000000   0.0000099   0.0566561   0.0001553   0.0000377   0.0001493 
+    3.2660756   2710.8802221  24.5064802   0.0054999   0.0098909   0.0018559  -0.0000030   0.1260382  -0.0001488  -0.0000153   0.0000000   3.0000000   0.0000099   0.0566562   0.0001558   0.0000371   0.0001490 
+    3.2779840   2720.7643337  24.5065775   0.0054265   0.0098463   0.0018267  -0.0000029   0.1259536  -0.0001451  -0.0000165   0.0000000   3.0000000   0.0000098   0.0566563   0.0001563   0.0000365   0.0001488 
+    3.2898523   2730.6151211  24.5066743   0.0053549   0.0098026   0.0017980  -0.0000029   0.1258715  -0.0001416  -0.0000176   0.0000000   3.0000000   0.0000098   0.0566564   0.0001570   0.0000359   0.0001486 
+    3.3016799   2740.4322135  24.5067700   0.0052832   0.0097599   0.0017698  -0.0000029   0.1257906  -0.0001380  -0.0000187   0.0000000   3.0000000   0.0000097   0.0566564   0.0001577   0.0000353   0.0001485 
+    3.3134666   2750.2152411  24.5068654   0.0052133   0.0097182   0.0017422  -0.0000028   0.1257121  -0.0001347  -0.0000198   0.0000000   3.0000000   0.0000097   0.0566565   0.0001584   0.0000347   0.0001485 
+    3.3252117   2759.9638357  24.5069597   0.0051432   0.0096774   0.0017150  -0.0000028   0.1256347  -0.0001313  -0.0000209   0.0000000   3.0000000   0.0000096   0.0566566   0.0001593   0.0000341   0.0001486 
+    3.3369149   2769.6776303  24.5070536   0.0050748   0.0096375   0.0016883  -0.0000028   0.1255598  -0.0001281  -0.0000220   0.0000000   3.0000000   0.0000097   0.0566567   0.0001601   0.0000336   0.0001487 
+    3.3485757   2779.3562590  24.5071465   0.0050064   0.0095985   0.0016620  -0.0000027   0.1254858  -0.0001249  -0.0000230   0.0000000   3.0000000   0.0000096   0.0566567   0.0001611   0.0000330   0.0001488 
+    3.3601938   2788.9993577  24.5072390   0.0049395   0.0095604   0.0016362  -0.0000027   0.1254142  -0.0001218  -0.0000241   0.0000000   3.0000000   0.0000096   0.0566568   0.0001621   0.0000324   0.0001491 
+    3.3717685   2798.6065630  24.5073305   0.0048726   0.0095231   0.0016108  -0.0000027   0.1253435  -0.0001187  -0.0000251   0.0000000   3.0000000   0.0000095   0.0566569   0.0001631   0.0000319   0.0001493 
+    3.3832997   2808.1775135  24.5074215   0.0048072   0.0094866   0.0015859  -0.0000026   0.1252751  -0.0001158  -0.0000261   0.0000000   3.0000000   0.0000095   0.0566570   0.0001642   0.0000313   0.0001497 
+    3.3947866   2817.7118487  24.5075117   0.0047417   0.0094510   0.0015613  -0.0000026   0.1252075  -0.0001128  -0.0000271   0.0000000   3.0000000   0.0000094   0.0566570   0.0001654   0.0000308   0.0001501 
+    3.4062291   2827.2092096  24.5076013   0.0046777   0.0094162   0.0015372  -0.0000026   0.1251422  -0.0001101  -0.0000281   0.0000000   3.0000000   0.0000094   0.0566571   0.0001666   0.0000303   0.0001505 
+    3.4176266   2836.6692388  24.5076901   0.0046137   0.0093821   0.0015135  -0.0000026   0.1250776  -0.0001072  -0.0000290   0.0000000   3.0000000   0.0000093   0.0566572   0.0001678   0.0000297   0.0001510 
+    3.4289786   2846.0915800  24.5077784   0.0045510   0.0093488   0.0014901  -0.0000025   0.1250153  -0.0001046  -0.0000300   0.0000000   3.0000000   0.0000094   0.0566572   0.0001691   0.0000292   0.0001515 
+    3.4402848   2855.4758784  24.5078658   0.0044884   0.0093163   0.0014671  -0.0000025   0.1249535  -0.0001019  -0.0000309   0.0000000   3.0000000   0.0000093   0.0566573   0.0001704   0.0000287   0.0001521 
+    3.4515448   2864.8217809  24.5079528   0.0044270   0.0092845   0.0014445  -0.0000025   0.1248940  -0.0000993  -0.0000318   0.0000000   3.0000000   0.0000093   0.0566574   0.0001717   0.0000282   0.0001527 
+    3.4627581   2874.1289354  24.5080389   0.0043657   0.0092534   0.0014222  -0.0000024   0.1248350  -0.0000968  -0.0000327   0.0000000   3.0000000   0.0000092   0.0566574   0.0001731   0.0000278   0.0001534 
+    3.4739243   2883.3969917  24.5081245   0.0043056   0.0092230   0.0014003  -0.0000024   0.1247782  -0.0000943  -0.0000336   0.0000000   3.0000000   0.0000092   0.0566575   0.0001744   0.0000273   0.0001541 
+    3.4850429   2892.6256007  24.5082093   0.0042456   0.0091932   0.0013787  -0.0000024   0.1247218  -0.0000919  -0.0000345   0.0000000   3.0000000   0.0000091   0.0566575   0.0001758   0.0000268   0.0001549 
+    3.4961136   2901.8144150  24.5082936   0.0041867   0.0091642   0.0013574  -0.0000023   0.1246677  -0.0000896  -0.0000354   0.0000000   3.0000000   0.0000092   0.0566576   0.0001773   0.0000264   0.0001557 
+    3.5071360   2910.9630886  24.5083771   0.0041279   0.0091358   0.0013365  -0.0000023   0.1246138  -0.0000872  -0.0000363   0.0000000   3.0000000   0.0000091   0.0566577   0.0001787   0.0000259   0.0001565 
+    3.5181096   2920.0712772  24.5084601   0.0040702   0.0091081   0.0013158  -0.0000023   0.1245622  -0.0000850  -0.0000371   0.0000000   3.0000000   0.0000091   0.0566577   0.0001802   0.0000255   0.0001574 
+    3.5290339   2929.1386377  24.5085423   0.0040126   0.0090809   0.0012955  -0.0000023   0.1245107  -0.0000827  -0.0000380   0.0000000   3.0000000   0.0000090   0.0566578   0.0001817   0.0000251   0.0001583 
+    3.5399087   2938.1648289  24.5086241   0.0039561   0.0090544   0.0012754  -0.0000022   0.1244615  -0.0000806  -0.0000388   0.0000000   3.0000000   0.0000091   0.0566578   0.0001831   0.0000246   0.0001592 
+    3.5507335   2947.1495108  24.5087050   0.0038997   0.0090285   0.0012556  -0.0000022   0.1244123  -0.0000785  -0.0000396   0.0000000   3.0000000   0.0000090   0.0566579   0.0001846   0.0000242   0.0001602 
+    3.5615078   2956.0923453  24.5087855   0.0038443   0.0090032   0.0012361  -0.0000022   0.1243654  -0.0000764  -0.0000404   0.0000000   3.0000000   0.0000090   0.0566579   0.0001862   0.0000238   0.0001611 
+    3.5722314   2964.9929956  24.5088652   0.0037890   0.0089785   0.0012169  -0.0000021   0.1243185  -0.0000744  -0.0000412   0.0000000   3.0000000   0.0000089   0.0566580   0.0001877   0.0000234   0.0001622 
+    3.5829037   2973.8511265  24.5089444   0.0037346   0.0089543   0.0011980  -0.0000021   0.1242738  -0.0000724  -0.0000420   0.0000000   3.0000000   0.0000090   0.0566580   0.0001892   0.0000231   0.0001632 
+    3.5935243   2982.6664047  24.5090229   0.0036804   0.0089307   0.0011793  -0.0000021   0.1242291  -0.0000705  -0.0000428   0.0000000   3.0000000   0.0000089   0.0566581   0.0001907   0.0000227   0.0001642 
+    3.6040930   2991.4384983  24.5091008   0.0036272   0.0089076   0.0011608  -0.0000021   0.1241865  -0.0000686  -0.0000436   0.0000000   3.0000000   0.0000089   0.0566581   0.0001922   0.0000223   0.0001653 
+    3.6146092   3000.1670768  24.5091781   0.0035740   0.0088851   0.0011426  -0.0000020   0.1241438  -0.0000667  -0.0000443   0.0000000   3.0000000   0.0000088   0.0566582   0.0001937   0.0000220   0.0001664 
+    3.6250726   3008.8518118  24.5092548   0.0035218   0.0088631   0.0011247  -0.0000020   0.1241032  -0.0000650  -0.0000451   0.0000000   3.0000000   0.0000089   0.0566582   0.0001953   0.0000217   0.0001675 
+    3.6354828   3017.4923763  24.5093309   0.0034697   0.0088416   0.0011069  -0.0000020   0.1240625  -0.0000632  -0.0000458   0.0000000   3.0000000   0.0000088   0.0566582   0.0001968   0.0000213   0.0001687 
+    3.6458393   3026.0884449  24.5094064   0.0034184   0.0088206   0.0010894  -0.0000019   0.1240239  -0.0000615  -0.0000466   0.0000000   3.0000000   0.0000088   0.0566583   0.0001983   0.0000210   0.0001698 
+    3.6561419   3034.6396940  24.5094813   0.0033673   0.0088000   0.0010722  -0.0000019   0.1239851  -0.0000598  -0.0000473   0.0000000   3.0000000   0.0000087   0.0566583   0.0001998   0.0000207   0.0001710 
+    3.6663901   3043.1458017  24.5095556   0.0033170   0.0087800   0.0010551  -0.0000019   0.1239484  -0.0000582  -0.0000480   0.0000000   3.0000000   0.0000088   0.0566584   0.0002013   0.0000204   0.0001721 
+    3.6765835   3051.6064476  24.5096293   0.0032669   0.0087604   0.0010383  -0.0000019   0.1239114  -0.0000565  -0.0000487   0.0000000   3.0000000   0.0000087   0.0566584   0.0002027   0.0000202   0.0001733 
+    3.6867217   3060.0213134  24.5097024   0.0032176   0.0087413   0.0010217  -0.0000018   0.1238765  -0.0000550  -0.0000494   0.0000000   3.0000000   0.0000087   0.0566584   0.0002042   0.0000199   0.0001745 
+    3.6968044   3068.3900821  24.5097750   0.0031684   0.0087227   0.0010053  -0.0000018   0.1238413  -0.0000534  -0.0000502   0.0000000   3.0000000   0.0000086   0.0566585   0.0002057   0.0000196   0.0001757 
+    3.7068312   3076.7124386  24.5098469   0.0031200   0.0087045   0.0009890  -0.0000018   0.1238081  -0.0000519  -0.0000508   0.0000000   3.0000000   0.0000087   0.0566585   0.0002071   0.0000194   0.0001769 
+    3.7168017   3084.9880697  24.5099183   0.0030718   0.0086867   0.0009730  -0.0000018   0.1237746  -0.0000505  -0.0000515   0.0000000   3.0000000   0.0000086   0.0566586   0.0002085   0.0000191   0.0001781 
+    3.7267156   3093.2166638  24.5099890   0.0030243   0.0086693   0.0009572  -0.0000017   0.1237431  -0.0000490  -0.0000522   0.0000000   3.0000000   0.0000086   0.0566586   0.0002099   0.0000189   0.0001793 
+    3.7365724   3101.3979110  24.5100592   0.0029770   0.0086524   0.0009416  -0.0000017   0.1237112  -0.0000476  -0.0000529   0.0000000   3.0000000   0.0000085   0.0566586   0.0002113   0.0000187   0.0001805 
+    3.7463717   3109.5315034  24.5101289   0.0029304   0.0086359   0.0009261  -0.0000017   0.1236813  -0.0000463  -0.0000535   0.0000000   3.0000000   0.0000086   0.0566587   0.0002127   0.0000185   0.0001817 
+    3.7561133   3117.6171347  24.5101979   0.0028840   0.0086197   0.0009109  -0.0000017   0.1236510  -0.0000449  -0.0000542   0.0000000   3.0000000   0.0000085   0.0566587   0.0002141   0.0000183   0.0001829 
+    3.7657968   3125.6545005  24.5102664   0.0028382   0.0086040   0.0008958  -0.0000016   0.1236225  -0.0000436  -0.0000548   0.0000000   3.0000000   0.0000085   0.0566587   0.0002154   0.0000181   0.0001842 
+    3.7754217   3133.6432982  24.5103344   0.0027927   0.0085886   0.0008809  -0.0000016   0.1235937  -0.0000423  -0.0000555   0.0000000   3.0000000   0.0000085   0.0566587   0.0002167   0.0000179   0.0001854 
+    3.7849877   3141.5832270  24.5104017   0.0027477   0.0085737   0.0008661  -0.0000016   0.1235668  -0.0000411  -0.0000561   0.0000000   3.0000000   0.0000085   0.0566588   0.0002180   0.0000177   0.0001866 
+    3.7944945   3149.4739881  24.5104685   0.0027031   0.0085591   0.0008515  -0.0000016   0.1235395  -0.0000399  -0.0000568   0.0000000   3.0000000   0.0000084   0.0566588   0.0002193   0.0000176   0.0001878 
+    3.8039418   3157.3152842  24.5105347   0.0026590   0.0085448   0.0008371  -0.0000015   0.1235139  -0.0000387  -0.0000574   0.0000000   3.0000000   0.0000085   0.0566588   0.0002205   0.0000174   0.0001890 
+    3.8133290   3165.1068202  24.5106004   0.0026152   0.0085309   0.0008229  -0.0000015   0.1234880  -0.0000375  -0.0000580   0.0000000   3.0000000   0.0000084   0.0566589   0.0002217   0.0000173   0.0001901 
+    3.8226560   3172.8483028  24.5106655   0.0025719   0.0085174   0.0008088  -0.0000015   0.1234638  -0.0000364  -0.0000586   0.0000000   3.0000000   0.0000084   0.0566589   0.0002229   0.0000171   0.0001913 
+    3.8319223   3180.5394404  24.5107301   0.0025289   0.0085042   0.0007949  -0.0000015   0.1234392  -0.0000353  -0.0000592   0.0000000   3.0000000   0.0000084   0.0566589   0.0002241   0.0000170   0.0001925 
+    3.8411276   3188.1799436  24.5107941   0.0024864   0.0084913   0.0007811  -0.0000014   0.1234163  -0.0000342  -0.0000598   0.0000000   3.0000000   0.0000084   0.0566589   0.0002253   0.0000169   0.0001937 
+    3.8502715   3195.7695246  24.5108576   0.0024442   0.0084788   0.0007675  -0.0000014   0.1233930  -0.0000332  -0.0000604   0.0000000   3.0000000   0.0000083   0.0566590   0.0002264   0.0000168   0.0001948 
+    3.8593538   3203.3078977  24.5109205   0.0024025   0.0084665   0.0007540  -0.0000014   0.1233713  -0.0000322  -0.0000610   0.0000000   3.0000000   0.0000084   0.0566590   0.0002275   0.0000167   0.0001960 
+    3.8683740   3210.7947791  24.5109828   0.0023611   0.0084546   0.0007408  -0.0000014   0.1233492  -0.0000311  -0.0000616   0.0000000   3.0000000   0.0000083   0.0566590   0.0002285   0.0000166   0.0001971 
+    3.8773318   3218.2298869  24.5110446   0.0023202   0.0084430   0.0007276  -0.0000013   0.1233288  -0.0000302  -0.0000622   0.0000000   3.0000000   0.0000083   0.0566590   0.0002295   0.0000165   0.0001982 
+    3.8862270   3225.6129412  24.5111059   0.0022796   0.0084318   0.0007146  -0.0000013   0.1233079  -0.0000292  -0.0000627   0.0000000   3.0000000   0.0000083   0.0566590   0.0002305   0.0000164   0.0001993 
+    3.8950590   3232.9436640  24.5111666   0.0022395   0.0084208   0.0007017  -0.0000013   0.1232886  -0.0000283  -0.0000633   0.0000000   3.0000000   0.0000083   0.0566591   0.0002315   0.0000163   0.0002004 
+    3.9038277   3240.2217794  24.5112269   0.0021996   0.0084100   0.0006890  -0.0000013   0.1232689  -0.0000274  -0.0000639   0.0000000   3.0000000   0.0000082   0.0566591   0.0002324   0.0000163   0.0002015 
+    3.9125327   3247.4470132  24.5112865   0.0021602   0.0083996   0.0006764  -0.0000012   0.1232507  -0.0000265  -0.0000644   0.0000000   3.0000000   0.0000083   0.0566591   0.0002333   0.0000162   0.0002025 
+    3.9211736   3254.6190936  24.5113456   0.0021212   0.0083895   0.0006640  -0.0000012   0.1232321  -0.0000256  -0.0000650   0.0000000   3.0000000   0.0000082   0.0566591   0.0002342   0.0000161   0.0002036 
+    3.9297502   3261.7377504  24.5114041   0.0020825   0.0083796   0.0006516  -0.0000012   0.1232149  -0.0000248  -0.0000655   0.0000000   3.0000000   0.0000082   0.0566591   0.0002350   0.0000161   0.0002046 
+    3.9382621   3268.8027156  24.5114622   0.0020442   0.0083700   0.0006395  -0.0000012   0.1231973  -0.0000240  -0.0000661   0.0000000   3.0000000   0.0000082   0.0566591   0.0002359   0.0000160   0.0002056 
+    3.9467090   3275.8137233  24.5115197   0.0020063   0.0083607   0.0006274  -0.0000012   0.1231812  -0.0000232  -0.0000666   0.0000000   3.0000000   0.0000082   0.0566592   0.0002366   0.0000160   0.0002066 
+    3.9550905   3282.7705095  24.5115767   0.0019687   0.0083516   0.0006155  -0.0000011   0.1231647  -0.0000224  -0.0000671   0.0000000   3.0000000   0.0000082   0.0566592   0.0002373   0.0000159   0.0002075 
+    3.9634065   3289.6728122  24.5116331   0.0019315   0.0083428   0.0006037  -0.0000011   0.1231495  -0.0000217  -0.0000676   0.0000000   3.0000000   0.0000082   0.0566592   0.0002380   0.0000159   0.0002085 
+    3.9716564   3296.5203717  24.5116890   0.0018947   0.0083342   0.0005921  -0.0000011   0.1231339  -0.0000209  -0.0000682   0.0000000   3.0000000   0.0000081   0.0566592   0.0002387   0.0000158   0.0002094 
+    3.9798401   3303.3129300  24.5117444   0.0018582   0.0083259   0.0005806  -0.0000011   0.1231197  -0.0000202  -0.0000687   0.0000000   3.0000000   0.0000082   0.0566592   0.0002393   0.0000158   0.0002103 
+    3.9879572   3310.0502315  24.5117992   0.0018221   0.0083178   0.0005692  -0.0000010   0.1231051  -0.0000195  -0.0000692   0.0000000   3.0000000   0.0000081   0.0566592   0.0002399   0.0000158   0.0002112 
+    3.9960075   3316.7320225  24.5118535   0.0017863   0.0083099   0.0005580  -0.0000010   0.1230918  -0.0000188  -0.0000697   0.0000000   3.0000000   0.0000081   0.0566592   0.0002405   0.0000157   0.0002120 
+    4.0039905   3323.3580515  24.5119073   0.0017510   0.0083022   0.0005469  -0.0000010   0.1230780  -0.0000182  -0.0000702   0.0000000   3.0000000   0.0000081   0.0566593   0.0002410   0.0000157   0.0002129 
+    4.0119061   3329.9280689  24.5119606   0.0017159   0.0082948   0.0005358  -0.0000010   0.1230656  -0.0000175  -0.0000707   0.0000000   3.0000000   0.0000081   0.0566593   0.0002414   0.0000157   0.0002137 
+    4.0197539   3336.4418274  24.5120133   0.0016812   0.0082876   0.0005250  -0.0000010   0.1230526  -0.0000169  -0.0000712   0.0000000   3.0000000   0.0000081   0.0566593   0.0002419   0.0000156   0.0002144 
+    4.0275336   3342.8990819  24.5120655   0.0016469   0.0082806   0.0005142  -0.0000009   0.1230410  -0.0000163  -0.0000717   0.0000000   3.0000000   0.0000081   0.0566593   0.0002423   0.0000156   0.0002152 
+    4.0352450   3349.2995890  24.5121172   0.0016129   0.0082739   0.0005037  -0.0000009   0.1230289  -0.0000157  -0.0000721   0.0000000   3.0000000   0.0000081   0.0566593   0.0002426   0.0000156   0.0002159 
+    4.0428876   3355.6431080  24.5121684   0.0015792   0.0082673   0.0004931  -0.0000009   0.1230181  -0.0000151  -0.0000726   0.0000000   3.0000000   0.0000081   0.0566593   0.0002429   0.0000155   0.0002166 
+    4.0504614   3361.9293999  24.5122191   0.0015460   0.0082609   0.0004828  -0.0000009   0.1230068  -0.0000145  -0.0000731   0.0000000   3.0000000   0.0000080   0.0566593   0.0002432   0.0000155   0.0002173 
+    4.0579659   3368.1582281  24.5122691   0.0015130   0.0082548   0.0004725  -0.0000009   0.1229967  -0.0000140  -0.0000736   0.0000000   3.0000000   0.0000081   0.0566593   0.0002434   0.0000155   0.0002179 
+    4.0654009   3374.3293581  24.5123188   0.0014805   0.0082488   0.0004625  -0.0000008   0.1229862  -0.0000135  -0.0000740   0.0000000   3.0000000   0.0000080   0.0566593   0.0002436   0.0000154   0.0002185 
+    4.0727661   3380.4425575  24.5123678   0.0014482   0.0082430   0.0004524  -0.0000008   0.1229768  -0.0000130  -0.0000745   0.0000000   3.0000000   0.0000080   0.0566594   0.0002437   0.0000154   0.0002191 
+    4.0800612   3386.4975962  24.5124164   0.0014164   0.0082374   0.0004426  -0.0000008   0.1229670  -0.0000125  -0.0000749   0.0000000   3.0000000   0.0000080   0.0566594   0.0002438   0.0000153   0.0002196 
+    4.0872860   3392.4942462  24.5124644   0.0013847   0.0082320   0.0004328  -0.0000008   0.1229583  -0.0000120  -0.0000754   0.0000000   3.0000000   0.0000080   0.0566594   0.0002439   0.0000153   0.0002201 
+    4.0944402   3398.4322817  24.5125120   0.0013536   0.0082267   0.0004232  -0.0000008   0.1229492  -0.0000115  -0.0000758   0.0000000   3.0000000   0.0000080   0.0566594   0.0002439   0.0000153   0.0002206 
+    4.1015234   3404.3114792  24.5125589   0.0013227   0.0082216   0.0004136  -0.0000007   0.1229412  -0.0000111  -0.0000763   0.0000000   3.0000000   0.0000080   0.0566594   0.0002439   0.0000152   0.0002211 
+    4.1085355   3410.1316173  24.5126054   0.0012922   0.0082167   0.0004043  -0.0000007   0.1229327  -0.0000106  -0.0000767   0.0000000   3.0000000   0.0000080   0.0566594   0.0002438   0.0000152   0.0002215 
+    4.1154762   3415.8924769  24.5126514   0.0012620   0.0082120   0.0003950  -0.0000007   0.1229253  -0.0000102  -0.0000771   0.0000000   3.0000000   0.0000080   0.0566594   0.0002436   0.0000151   0.0002218 
+    4.1223453   3421.5938411  24.5126968   0.0012322   0.0082074   0.0003859  -0.0000007   0.1229175  -0.0000098  -0.0000776   0.0000000   3.0000000   0.0000080   0.0566594   0.0002435   0.0000151   0.0002222 
+    4.1291423   3427.2354953  24.5127417   0.0012026   0.0082030   0.0003768  -0.0000007   0.1229106  -0.0000094  -0.0000780   0.0000000   3.0000000   0.0000080   0.0566594   0.0002433   0.0000150   0.0002225 
+    4.1358672   3432.8172270  24.5127862   0.0011735   0.0081987   0.0003680  -0.0000007   0.1229034  -0.0000090  -0.0000784   0.0000000   3.0000000   0.0000079   0.0566594   0.0002430   0.0000149   0.0002227 
+    4.1425197   3438.3388261  24.5128300   0.0011446   0.0081946   0.0003591  -0.0000006   0.1228972  -0.0000086  -0.0000788   0.0000000   3.0000000   0.0000080   0.0566594   0.0002427   0.0000149   0.0002229 
+    4.1490994   3443.8000847  24.5128734   0.0011162   0.0081906   0.0003505  -0.0000006   0.1228905  -0.0000082  -0.0000792   0.0000000   3.0000000   0.0000079   0.0566594   0.0002423   0.0000148   0.0002231 
+    4.1556062   3449.2007972  24.5129163   0.0010880   0.0081868   0.0003419  -0.0000006   0.1228848  -0.0000079  -0.0000796   0.0000000   3.0000000   0.0000079   0.0566594   0.0002419   0.0000147   0.0002233 
+    4.1620398   3454.5407603  24.5129586   0.0010603   0.0081831   0.0003336  -0.0000006   0.1228787  -0.0000075  -0.0000801   0.0000000   3.0000000   0.0000079   0.0566594   0.0002415   0.0000147   0.0002233 
+    4.1684000   3459.8197729  24.5130004   0.0010328   0.0081796   0.0003251  -0.0000006   0.1228735  -0.0000072  -0.0000804   0.0000000   3.0000000   0.0000079   0.0566594   0.0002410   0.0000146   0.0002234 
+    4.1746865   3465.0376363  24.5130418   0.0010057   0.0081761   0.0003171  -0.0000006   0.1228679  -0.0000069  -0.0000808   0.0000000   3.0000000   0.0000079   0.0566594   0.0002404   0.0000145   0.0002234 
+    4.1808990   3470.1941539  24.5130825   0.0009789   0.0081728   0.0003088  -0.0000005   0.1228632  -0.0000066  -0.0000812   0.0000000   3.0000000   0.0000079   0.0566594   0.0002398   0.0000144   0.0002234 
+    4.1870375   3475.2891318  24.5131229   0.0009525   0.0081697   0.0003010  -0.0000005   0.1228581  -0.0000063  -0.0000816   0.0000000   3.0000000   0.0000079   0.0566594   0.0002392   0.0000143   0.0002233 
+    4.1931016   3480.3223780  24.5131626   0.0009263   0.0081666   0.0002930  -0.0000005   0.1228538  -0.0000060  -0.0000820   0.0000000   3.0000000   0.0000079   0.0566594   0.0002384   0.0000142   0.0002232 
+    4.1990910   3485.2937031  24.5132019   0.0009007   0.0081637   0.0002855  -0.0000005   0.1228492  -0.0000057  -0.0000824   0.0000000   3.0000000   0.0000079   0.0566594   0.0002377   0.0000141   0.0002230 
+    4.2050057   3490.2029198  24.5132405   0.0008751   0.0081609   0.0002777  -0.0000005   0.1228454  -0.0000055  -0.0000827   0.0000000   3.0000000   0.0000079   0.0566594   0.0002369   0.0000140   0.0002228 
+    4.2108452   3495.0498434  24.5132788   0.0008501   0.0081582   0.0002704  -0.0000005   0.1228412  -0.0000052  -0.0000831   0.0000000   3.0000000   0.0000079   0.0566594   0.0002360   0.0000139   0.0002225 
+    4.2166096   3499.8342914  24.5133164   0.0008253   0.0081557   0.0002628  -0.0000004   0.1228378  -0.0000050  -0.0000835   0.0000000   3.0000000   0.0000079   0.0566595   0.0002351   0.0000138   0.0002222 
+    4.2222984   3504.5560836  24.5133537   0.0008010   0.0081532   0.0002557  -0.0000004   0.1228341  -0.0000047  -0.0000838   0.0000000   3.0000000   0.0000079   0.0566595   0.0002342   0.0000137   0.0002218 
+    4.2279115   3509.2150423  24.5133903   0.0007768   0.0081509   0.0002484  -0.0000004   0.1228310  -0.0000045  -0.0000842   0.0000000   3.0000000   0.0000079   0.0566595   0.0002331   0.0000135   0.0002214 
+    4.2334487   3513.8109920  24.5134265   0.0007532   0.0081486   0.0002416  -0.0000004   0.1228276  -0.0000043  -0.0000845   0.0000000   3.0000000   0.0000079   0.0566595   0.0002321   0.0000134   0.0002209 
+    4.2389098   3518.3437598  24.5134621   0.0007297   0.0081464   0.0002344  -0.0000004   0.1228249  -0.0000041  -0.0000849   0.0000000   3.0000000   0.0000079   0.0566595   0.0002310   0.0000133   0.0002204 
+    4.2442946   3522.8131750  24.5134972   0.0007068   0.0081444   0.0002279  -0.0000004   0.1228220  -0.0000038  -0.0000852   0.0000000   3.0000000   0.0000078   0.0566595   0.0002298   0.0000131   0.0002198 
+    4.2496028   3527.2190692  24.5135318   0.0006840   0.0081424   0.0002209  -0.0000004   0.1228196  -0.0000037  -0.0000855   0.0000000   3.0000000   0.0000079   0.0566595   0.0002286   0.0000130   0.0002191 
+    4.2548343   3531.5612767  24.5135659   0.0006617   0.0081405   0.0002146  -0.0000003   0.1228170  -0.0000035  -0.0000859   0.0000000   3.0000000   0.0000078   0.0566595   0.0002273   0.0000129   0.0002184 
+    4.2599889   3535.8396339  24.5135994   0.0006396   0.0081388   0.0002079  -0.0000003   0.1228149  -0.0000033  -0.0000862   0.0000000   3.0000000   0.0000078   0.0566595   0.0002260   0.0000127   0.0002177 
+    4.2650663   3540.0539798  24.5136325   0.0006181   0.0081370   0.0002018  -0.0000003   0.1228126  -0.0000031  -0.0000865   0.0000000   3.0000000   0.0000078   0.0566595   0.0002246   0.0000125   0.0002169 
+    4.2700665   3544.2041556  24.5136650   0.0005966   0.0081354   0.0001953  -0.0000003   0.1228109  -0.0000029  -0.0000868   0.0000000   3.0000000   0.0000078   0.0566595   0.0002231   0.0000124   0.0002160 
+    4.2749891   3548.2900052  24.5136970   0.0005757   0.0081339   0.0001894  -0.0000003   0.1228089  -0.0000028  -0.0000871   0.0000000   3.0000000   0.0000078   0.0566595   0.0002216   0.0000122   0.0002150 
+    4.2798341   3552.3113748  24.5137284   0.0005550   0.0081324   0.0001831  -0.0000003   0.1228074  -0.0000026  -0.0000874   0.0000000   3.0000000   0.0000078   0.0566595   0.0002201   0.0000120   0.0002141 
+    4.2846012   3556.2681128  24.5137594   0.0005348   0.0081311   0.0001775  -0.0000003   0.1228057  -0.0000025  -0.0000877   0.0000000   3.0000000   0.0000078   0.0566595   0.0002185   0.0000119   0.0002130 
+    4.2892902   3560.1600703  24.5137898   0.0005147   0.0081297   0.0001714  -0.0000003   0.1228045  -0.0000023  -0.0000880   0.0000000   3.0000000   0.0000078   0.0566595   0.0002168   0.0000117   0.0002119 
+    4.2939010   3563.9871009  24.5138198   0.0004952   0.0081285   0.0001661  -0.0000002   0.1228030  -0.0000022  -0.0000883   0.0000000   3.0000000   0.0000078   0.0566595   0.0002151   0.0000115   0.0002107 
+    4.2984335   3567.7490604  24.5138491   0.0004759   0.0081273   0.0001601  -0.0000002   0.1228020  -0.0000021  -0.0000886   0.0000000   3.0000000   0.0000078   0.0566595   0.0002133   0.0000113   0.0002094 
+    4.3028873   3571.4458072  24.5138780   0.0004571   0.0081262   0.0001550  -0.0000002   0.1228008  -0.0000020  -0.0000889   0.0000000   3.0000000   0.0000078   0.0566595   0.0002115   0.0000111   0.0002081 
+    4.3072624   3575.0772021  24.5139063   0.0004384   0.0081252   0.0001493  -0.0000002   0.1228000  -0.0000018  -0.0000892   0.0000000   3.0000000   0.0000078   0.0566595   0.0002097   0.0000109   0.0002068 
+    4.3115586   3578.6431084  24.5139341   0.0004203   0.0081242   0.0001444  -0.0000002   0.1227991  -0.0000017  -0.0000894   0.0000000   3.0000000   0.0000078   0.0566595   0.0002077   0.0000107   0.0002053 
+    4.3157758   3582.1433918  24.5139613   0.0004023   0.0081233   0.0001388  -0.0000002   0.1227985  -0.0000016  -0.0000897   0.0000000   3.0000000   0.0000078   0.0566595   0.0002058   0.0000105   0.0002038 
+    4.3199137   3585.5779206  24.5139881   0.0003849   0.0081224   0.0001342  -0.0000002   0.1227977  -0.0000015  -0.0000900   0.0000000   3.0000000   0.0000078   0.0566595   0.0002038   0.0000102   0.0002022 
+    4.3239723   3588.9465654  24.5140142   0.0003676   0.0081216   0.0001288  -0.0000002   0.1227973  -0.0000014  -0.0000902   0.0000000   3.0000000   0.0000078   0.0566595   0.0002017   0.0000100   0.0002006 
+    4.3279513   3592.2491994  24.5140399   0.0003509   0.0081209   0.0001244  -0.0000002   0.1227967  -0.0000013  -0.0000905   0.0000000   3.0000000   0.0000078   0.0566595   0.0001996   0.0000098   0.0001989 
+    4.3318506   3595.4856983  24.5140649   0.0003344   0.0081202   0.0001193  -0.0000001   0.1227965  -0.0000012  -0.0000907   0.0000000   3.0000000   0.0000077   0.0566595   0.0001974   0.0000096   0.0001972 
+    4.3356701   3598.6559403  24.5140895   0.0003183   0.0081195   0.0001151  -0.0000001   0.1227961  -0.0000012  -0.0000910   0.0000000   3.0000000   0.0000077   0.0566595   0.0001952   0.0000093   0.0001953 
+    4.3394097   3601.7598058  24.5141134   0.0003025   0.0081189   0.0001101  -0.0000001   0.1227959  -0.0000011  -0.0000912   0.0000000   3.0000000   0.0000077   0.0566594   0.0001929   0.0000091   0.0001934 
+    4.3430691   3604.7971782  24.5141368   0.0002871   0.0081183   0.0001062  -0.0000001   0.1227957  -0.0000010  -0.0000914   0.0000000   3.0000000   0.0000077   0.0566594   0.0001906   0.0000088   0.0001915 
+    4.3466483   3607.7679431  24.5141595   0.0002721   0.0081178   0.0001015  -0.0000001   0.1227957  -0.0000009  -0.0000917   0.0000000   3.0000000   0.0000077   0.0566594   0.0001883   0.0000086   0.0001895 
+    4.3501471   3610.6719885  24.5141818   0.0002574   0.0081173   0.0000978  -0.0000001   0.1227956  -0.0000009  -0.0000919   0.0000000   3.0000000   0.0000076   0.0566594   0.0001859   0.0000083   0.0001874 
+    4.3535654   3613.5092052  24.5142033   0.0002433   0.0081169   0.0000933  -0.0000001   0.1227957  -0.0000008  -0.0000921   0.0000000   3.0000000   0.0000076   0.0566594   0.0001835   0.0000081   0.0001853 
+    4.3569030   3616.2794864  24.5142243   0.0002292   0.0081164   0.0000899  -0.0000001   0.1227957  -0.0000008  -0.0000923   0.0000000   3.0000000   0.0000075   0.0566594   0.0001811   0.0000078   0.0001831 
+    4.3601599   3618.9827277  24.5142446   0.0002159   0.0081161   0.0000858  -0.0000001   0.1227959  -0.0000007  -0.0000925   0.0000000   3.0000000   0.0000075   0.0566594   0.0001786   0.0000076   0.0001809 
+    4.3633359   3621.6188273  24.5142643   0.0002025   0.0081157   0.0000826  -0.0000001   0.1227961  -0.0000006  -0.0000927   0.0000000   3.0000000   0.0000074   0.0566594   0.0001762   0.0000073   0.0001787 
+    4.3664309   3624.1876861  24.5142834   0.0001902   0.0081154   0.0000789  -0.0000001   0.1227963  -0.0000006  -0.0000929   0.0000000   3.0000000   0.0000074   0.0566594   0.0001737   0.0000070   0.0001764 
+    4.3694447   3626.6892073  24.5143017   0.0001775   0.0081151   0.0000759  -0.0000000   0.1227966  -0.0000006  -0.0000931   0.0000000   3.0000000   0.0000073   0.0566594   0.0001711   0.0000068   0.0001740 
+    4.3723773   3629.1232967  24.5143194   0.0001663   0.0081149   0.0000728  -0.0000000   0.1227969  -0.0000005  -0.0000933   0.0000000   3.0000000   0.0000072   0.0566594   0.0001686   0.0000065   0.0001716 
+    4.3752285   3631.4898627  24.5143364   0.0001542   0.0081147   0.0000701  -0.0000000   0.1227972  -0.0000005  -0.0000935   0.0000000   3.0000000   0.0000071   0.0566594   0.0001660   0.0000062   0.0001692 
+    4.3779983   3633.7888162  24.5143527   0.0001443   0.0081145   0.0000679  -0.0000000   0.1227976  -0.0000004  -0.0000937   0.0000000   3.0000000   0.0000070   0.0566594   0.0001635   0.0000060   0.0001668 
+    4.3806865   3636.0200706  24.5143682   0.0001329   0.0081143   0.0000654  -0.0000000   0.1227980  -0.0000004  -0.0000939   0.0000000   3.0000000   0.0000069   0.0566594   0.0001610   0.0000057   0.0001643 
+    4.3832931   3638.1835420  24.5143830   0.0001247   0.0081142   0.0000643  -0.0000000   0.1227984  -0.0000004  -0.0000940   0.0000000   3.0000000   0.0000068   0.0566594   0.0001584   0.0000054   0.0001619 
+    4.3858179   3640.2791488  24.5143971   0.0001138   0.0081140   0.0000622  -0.0000000   0.1227989  -0.0000003  -0.0000942   0.0000000   3.0000000   0.0000066   0.0566594   0.0001559   0.0000051   0.0001594 
+    4.3882608   3642.3068122  24.5144104   0.0001078   0.0081139   0.0000626  -0.0000000   0.1227992  -0.0000003  -0.0000943   0.0000000   3.0000000   0.0000065   0.0566594   0.0001534   0.0000049   0.0001570 
+    4.3906218   3644.2664558  24.5144229   0.0000976   0.0081138   0.0000609  -0.0000000   0.1227998  -0.0000003  -0.0000945   0.0000000   3.0000000   0.0000063   0.0566594   0.0001510   0.0000046   0.0001545 
+    4.3929008   3646.1580059  24.5144346   0.0000943   0.0081138   0.0000632   0.0000000   0.1228002  -0.0000002  -0.0000946   0.0000000   3.0000000   0.0000061   0.0566594   0.0001485   0.0000043   0.0001521 
+    4.3950976   3647.9813912  24.5144456   0.0000850   0.0081137   0.0000620   0.0000000   0.1228008  -0.0000002  -0.0000948   0.0000000   3.0000000   0.0000059   0.0566594   0.0001461   0.0000041   0.0001497 
+    4.3972122   3649.7365431  24.5144558   0.0000852   0.0081137   0.0000664   0.0000000   0.1228012  -0.0000002  -0.0000949   0.0000000   3.0000000   0.0000057   0.0566594   0.0001438   0.0000038   0.0001473 
+    4.3992445   3651.4233955  24.5144652   0.0000770   0.0081137   0.0000659   0.0000000   0.1228018  -0.0000002  -0.0000951   0.0000000   3.0000000   0.0000055   0.0566594   0.0001415   0.0000035   0.0001450 
+    4.4011945   3653.0418849  24.5144738   0.0000812   0.0081138   0.0000726   0.0000000   0.1228022  -0.0000001  -0.0000952   0.0000000   3.0000000   0.0000052   0.0566594   0.0001393   0.0000033   0.0001427 
+    4.4030620   3654.5919503  24.5144817   0.0000746   0.0081138   0.0000729   0.0000000   0.1228028  -0.0000001  -0.0000953   0.0000000   3.0000000   0.0000050   0.0566594   0.0001372   0.0000030   0.0001405 
+    4.4048470   3656.0735335  24.5144888   0.0000827   0.0081139   0.0000817   0.0000000   0.1228032  -0.0000001  -0.0000954   0.0000000   3.0000000   0.0000047   0.0566594   0.0001351   0.0000028   0.0001383 
+    4.4065494   3657.4865786  24.5144953   0.0000781   0.0081140   0.0000829   0.0000000   0.1228039  -0.0000001  -0.0000955   0.0000000   3.0000000   0.0000044   0.0566594   0.0001332   0.0000025   0.0001364 
+    4.4081693   3658.8310324  24.5145010   0.0000893   0.0081142   0.0000934   0.0000000   0.1228042  -0.0000001  -0.0000956   0.0000000   3.0000000   0.0000041   0.0566594   0.0001313   0.0000023   0.0001342 
+    4.4097064   3660.1068443  24.5145061   0.0000868   0.0081144   0.0000956   0.0000000   0.1228049  -0.0000001  -0.0000957   0.0000000   3.0000000   0.0000038   0.0566594   0.0001297   0.0000021   0.0001327 
+    4.4111607   3661.3139663  24.5145105   0.0000998   0.0081146   0.0001074   0.0000000   0.1228052  -0.0000000  -0.0000958   0.0000000   3.0000000   0.0000035   0.0566594   0.0001278   0.0000019   0.0001303 
+    4.4125322   3662.4523529  24.5145143   0.0000992   0.0081149   0.0001102   0.0000000   0.1228059  -0.0000000  -0.0000959   0.0000000   3.0000000   0.0000032   0.0566594   0.0001268   0.0000017   0.0001298 
+    4.4138209   3663.5219613  24.5145176   0.0001129   0.0081153   0.0001222   0.0000000   0.1228062  -0.0000000  -0.0000960   0.0000000   3.0000000   0.0000029   0.0566594   0.0001252   0.0000015   0.0001266 
+    4.4150266   3664.5227512  24.5145203   0.0001134   0.0081156   0.0001247   0.0000000   0.1228069  -0.0000000  -0.0000961   0.0000000   3.0000000   0.0000026   0.0566594   0.0001242   0.0000013   0.0001279 
+    4.4161494   3665.4546848  24.5145226   0.0001261   0.0081161   0.0001352   0.0000000   0.1228072  -0.0000000  -0.0000962   0.0000000   3.0000000   0.0000023   0.0566594   0.0001247   0.0000011   0.0001236 
+    4.4171892   3666.3177272  24.5145245   0.0001260   0.0081165   0.0001356  -0.0000000   0.1228080  -0.0000000  -0.0000962   0.0000000   3.0000000   0.0000020   0.0566594   0.0001208   0.0000010   0.0001262 
+    4.4181460   3667.1118459  24.5145259   0.0001350   0.0081171   0.0001420  -0.0000000   0.1228083  -0.0000000  -0.0000963   0.0000000   3.0000000   0.0000017   0.0566594   0.0001298   0.0000008   0.0001244 
+    4.4190197   3667.8370109  24.5145271   0.0001310   0.0081175   0.0001375  -0.0000000   0.1228090  -0.0000000  -0.0000964   0.0000000   3.0000000   0.0000015   0.0566594   0.0001136   0.0000007   0.0001215 
+    4.4198102   3668.4931949  24.5145279   0.0001327   0.0081181   0.0001364  -0.0000000   0.1228093  -0.0000000  -0.0000964   0.0000000   3.0000000   0.0000012   0.0566594   0.0001455   0.0000006   0.0001359 
+    4.4205177   3669.0803732  24.5145286   0.0001214   0.0081185   0.0001244  -0.0000000   0.1228100  -0.0000000  -0.0000965   0.0000000   3.0000000   0.0000010   0.0566594   0.0000984   0.0000004   0.0001076 
+    4.4211420   3669.5985238  24.5145290   0.0001129   0.0081189   0.0001139  -0.0000000   0.1228103  -0.0000000  -0.0000965   0.0000000   3.0000000   0.0000007   0.0566594   0.0001735   0.0000004   0.0001625 
+    4.4216830   3670.0476271  24.5145293   0.0000933   0.0081192   0.0000939  -0.0000000   0.1228109  -0.0000000  -0.0000966   0.0000000   3.0000000   0.0000005   0.0566594   0.0000738   0.0000002   0.0000813 
+    4.4221409   3670.4276661  24.5145295   0.0000762   0.0081195   0.0000758  -0.0000000   0.1228113  -0.0000000  -0.0000966   0.0000000   3.0000000   0.0000004   0.0566594   0.0002082   0.0000002   0.0001982 
+    4.4225156   3670.7386267  24.5145296   0.0000525   0.0081196   0.0000522  -0.0000000   0.1228117   0.0000000  -0.0000967   0.0000000   3.0000000   0.0000002   0.0566594   0.0000483   0.0000001   0.0000487 
+    4.4228070   3670.9804971  24.5145296   0.0000341   0.0081197   0.0000337  -0.0000000   0.1228120   0.0000000  -0.0000967   0.0000000   3.0000000   0.0000001   0.0566594   0.0002398   0.0000002   0.0002312 
+    4.4230151   3671.1532682  24.5145296   0.0000153   0.0081197   0.0000151  -0.0000000   0.1228122   0.0000000  -0.0000967   0.0000000   3.0000000   0.0000001   0.0566594   0.0000404   0.0000001   0.0000304 
+    4.4231400   3671.2569334  24.5145296   0.0000060   0.0081197   0.0000056  -0.0000000   0.1228124   0.0000000  -0.0000967   0.0000000   3.0000000  -0.0000000   0.0566594   0.0002586   0.0000002   0.0002509 
+    4.4231816   3671.2914889  24.5145296   0.0000022   0.0081197   0.0000010  -0.0000000   0.1228124   0.0000000  -0.0000967   0.0000000   3.0000000   0.0000000   0.0566594   0.0000432   0.0000002   0.0000308 
--- a/boundary-layer-RANS-keps-NN/vis2d_saved.npy
+++ b/boundary-layer-RANS-keps-NN/vis2d_saved.npy
--- a/boundary-layer-RANS-keps-NN/x2d.dat
+++ b/boundary-layer-RANS-keps-NN/x2d.dat
--- a/boundary-layer-RANS-keps-NN/y2d.dat
+++ b/boundary-layer-RANS-keps-NN/y2d.dat
--- a/boundary-layer-RANS-keps-NN/y_u_k_om_bound_kom_outlet-1.txt
+++ b/boundary-layer-RANS-keps-NN/y_u_k_om_bound_kom_outlet-1.txt
@ -0,0 +1,90 @@
+3.916039999999999864e-04 1.952760383084508472e-02 2.315771750838960815e-07 1.595469907711615087e+04
+1.213972399999999931e-03 6.065299552752596163e-02 6.712541332269333721e-06 2.779103863905296748e+03
+2.118577640000000005e-03 1.060452869417342764e-01 5.034175224281773058e-05 9.015718005877140513e+02
+3.113643404000000260e-03 1.558136306351854405e-01 2.019754805483039929e-04 4.110117636846373443e+02
+4.208215744400001235e-03 2.089617852122395703e-01 5.628856084304767384e-04 2.348261536270171064e+02
+5.412245318840000832e-03 2.624114491316577036e-01 1.184802782974060577e-03 1.561914502161044140e+02
+6.736677850724001604e-03 3.120996265093557431e-01 1.964896487291164714e-03 1.132007273824327740e+02
+8.193553635796402626e-03 3.557459224498278338e-01 2.724908423185215881e-03 8.573312019689588226e+01
+9.796116999376044271e-03 3.933533126274869618e-01 3.363660112082069407e-03 6.669430373748093643e+01
+1.155893669931364748e-02 4.259038264331110324e-01 3.866047051281015084e-03 5.296253720194529535e+01
+1.349803836924501343e-02 4.544623310233026903e-01 4.252467418263662646e-03 4.279752035665055132e+01
+1.563105020616951599e-02 4.799062009335096635e-01 4.548990481471427982e-03 3.510714378625667109e+01
+1.797736322678646775e-02 5.029059655113867766e-01 4.777759881134177253e-03 2.917381456439621346e+01
+2.055830754946511713e-02 5.239658323759525116e-01 4.955548312728237995e-03 2.451446151518009486e+01
+2.339734630441163421e-02 5.434668479598090407e-01 5.094587036330659215e-03 2.079735895189473638e+01
+2.652028893485280231e-02 5.617005784893400744e-01 5.203710989499765391e-03 1.779025973772886715e+01
+2.995552582833808236e-02 5.788935058332520533e-01 5.289313415437840726e-03 1.532744191402048628e+01
+3.373428641117189042e-02 5.952241754750904335e-01 5.356046466417411361e-03 1.328846245889786815e+01
+3.789092305228908969e-02 6.108353119031626477e-01 5.407314344819310128e-03 1.158425635478615945e+01
+4.246322335751800264e-02 6.258423925773313190e-01 5.445616318713203743e-03 1.014789175315978831e+01
+4.749275369326980134e-02 6.403398642318330891e-01 5.472785652660841146e-03 8.928318581352321814e+00
+5.302523706259679170e-02 6.544056776967439593e-01 5.490157028137187742e-03 7.886067107533774490e+00
+5.911096876885647139e-02 6.681047415240743970e-01 5.498684728668676823e-03 6.990239799766019502e+00
+6.580527364574212390e-02 6.814916359200056117e-01 5.499025836209966989e-03 6.216373369466131393e+00
+7.316900901031633819e-02 6.946129106271262676e-01 5.491597805358765759e-03 5.544895779166370886e+00
+8.126911791134799889e-02 7.075091234974584253e-01 5.476616397841663382e-03 4.959995772397874703e+00
+9.017923770248278958e-02 7.202167791145006603e-01 5.454118440102382476e-03 4.448784976777687916e+00
+9.998036947273108987e-02 7.327702350756499783e-01 5.423972106682863059e-03 4.000670044319031504e+00
+1.107616144200042063e-01 7.452034996105461051e-01 5.385877095864955583e-03 3.606875817968304698e+00
+1.226209838620046372e-01 7.575518015966298258e-01 5.339356693138301926e-03 3.260080530453349112e+00
+1.356662902482050903e-01 7.698526940240044691e-01 5.283743232974895052e-03 2.954133891699157299e+00
+1.500161272730256290e-01 7.821464873916283977e-01 5.218157935964231643e-03 2.683837642497218567e+00
+1.658009480003282132e-01 7.944758457264331497e-01 5.141485431394487299e-03 2.444772228049699514e+00
+1.831642508003610559e-01 8.068846245911427406e-01 5.052343364226894243e-03 2.233158507326071351e+00
+2.022638838803971773e-01 8.194163946635264484e-01 4.949047272457656084e-03 2.045745776837085028e+00
+2.232734802684369357e-01 8.321136569969047603e-01 4.829568598683287202e-03 1.879718647718501057e+00
+2.463840362952806617e-01 8.450191925218348832e-01 4.691476357907035585e-03 1.732614813098390050e+00
+2.718056479248087687e-01 8.581806110937788556e-01 4.531842798371469097e-03 1.602244731348815954e+00
+2.997694207172896808e-01 8.716571274202605801e-01 4.347089454713379958e-03 1.486602756700431183e+00
+3.305295707890186785e-01 8.855243776244755560e-01 4.132769789737089638e-03 1.383759844312278942e+00
+3.643657358679205371e-01 8.998736978762087446e-01 3.883296688036086061e-03 1.291721645581725753e+00
+4.015855174547126039e-01 9.147943926510615498e-01 3.591760653968974724e-03 1.208245008093849826e+00
+4.425272772001839217e-01 9.303789900280369229e-01 3.249781325456556000e-03 1.130537451398759607e+00
+4.875632129202023268e-01 9.467375842604510705e-01 2.847824835495379146e-03 1.054794797384007055e+00
+5.371027422122225392e-01 9.639818688459592666e-01 2.375104011973429904e-03 9.751306864835475041e-01
+5.890012967086248885e-01 9.813117190715330285e-01 1.848489763518657188e-03 8.862848626828769838e-01
+6.408998512050270158e-01 9.980641753644681202e-01 1.299314886214652642e-03 7.810826624849497302e-01
+6.927984057014293651e-01 1.014466037371332785e+00 7.391723225762302299e-04 6.428614180587297611e-01
+7.446969601978314923e-01 1.031560282824336205e+00 2.070757316393921697e-04 4.263424218824720113e-01
+7.965955146942338416e-01 1.043657228889458999e+00 1.551942768195372008e-05 2.640113658584281597e-01
+8.484940691906359689e-01 1.045194734744502529e+00 2.073440397916161239e-06 2.406856747937560215e-01
+9.003926236870383182e-01 1.044947786668255940e+00 1.812127741391393939e-06 2.401430790453169539e-01
+9.522911781834405565e-01 1.044677712789129798e+00 1.807256578195006333e-06 2.400732969149423079e-01
+1.004189732679842795e+00 1.044430035369130483e+00 1.806480560731794307e-06 2.400192194027799264e-01
+1.056088287176244922e+00 1.044202528028646437e+00 1.805893218379923188e-06 2.399743053603040632e-01
+1.107986841672647049e+00 1.043992779050441744e+00 1.805405930845068490e-06 2.399364784078023838e-01
+1.159885396169049177e+00 1.043798720293581006e+00 1.804995911530997510e-06 2.399042228057207127e-01
+1.211783950665451304e+00 1.043618672962855820e+00 1.804647158336885984e-06 2.398764266706772674e-01
+1.263682505161853431e+00 1.043451218179555218e+00 1.804347561899009510e-06 2.398522431571119551e-01
+1.315581059658255558e+00 1.043295158789498744e+00 1.804087990091307893e-06 2.398310304925224679e-01
+1.367479614154657686e+00 1.043149474459238224e+00 1.803861351252690983e-06 2.398122874528075543e-01
+1.419378168651059813e+00 1.043013292192216834e+00 1.803662123443091528e-06 2.397956215606816543e-01
+1.471276723147461940e+00 1.042885852915562239e+00 1.803485934004487136e-06 2.397807202671479176e-01
+1.523175277643864067e+00 1.042766502472947554e+00 1.803329286516437569e-06 2.397673321653094047e-01
+1.575073832140266195e+00 1.042654662927744447e+00 1.803189363354642962e-06 2.397552534612497899e-01
+1.626972386636668322e+00 1.042549833118771918e+00 1.803063876189271608e-06 2.397443175677628213e-01
+1.678870941133070449e+00 1.042451564913202233e+00 1.802950940564157668e-06 2.397343864759185206e-01
+1.730769495629472576e+00 1.042359467255971062e+00 1.802848994790325975e-06 2.397253451228755217e-01
+1.782668050125874704e+00 1.042273191420152623e+00 1.802756724996971813e-06 2.397170962066790256e-01
+1.834566604622276831e+00 1.042192431842352995e+00 1.802673035821589169e-06 2.397095581040722123e-01
+1.886465159118678958e+00 1.042116916500800183e+00 1.802596987314838425e-06 2.397026605393620668e-01
+1.938363713615081085e+00 1.042046404872099208e+00 1.802527833005524093e-06 2.396963471424364001e-01
+1.990262268111483213e+00 1.041980673333802176e+00 1.802464947939261395e-06 2.396905702516622105e-01
+2.042160822607885340e+00 1.041919512498553857e+00 1.802407788672196004e-06 2.396852880625053861e-01
+2.094059377104287467e+00 1.041862736518497812e+00 1.802355833783576917e-06 2.396804607366833095e-01
+2.145957931600689594e+00 1.041810180353712756e+00 1.802308664396189888e-06 2.396760558685017140e-01
+2.197856486097091722e+00 1.041761700711215433e+00 1.802265893045478399e-06 2.396720436655407627e-01
+2.249755040593493849e+00 1.041717166933150862e+00 1.802227230113688308e-06 2.396684012945736741e-01
+2.301653595089895976e+00 1.041676464319786000e+00 1.802192379965099461e-06 2.396651059293724295e-01
+2.353552149586298103e+00 1.041639488942724512e+00 1.802161141654885477e-06 2.396621413582342153e-01
+2.405450704082700231e+00 1.041606149999098951e+00 1.802133279807050650e-06 2.396594894591575486e-01
+2.457349258579102358e+00 1.041576365681876837e+00 1.802108665055592317e-06 2.396571393533072358e-01
+2.509247813075504485e+00 1.041550063555530814e+00 1.802087100372981721e-06 2.396550760405167513e-01
+2.561146367571906612e+00 1.041527182629669923e+00 1.802068515906620976e-06 2.396532930806452577e-01
+2.613044922068308740e+00 1.041507667661189407e+00 1.802052739293952040e-06 2.396517776744498396e-01
+2.664943476564710867e+00 1.041491475616459716e+00 1.802039758122153458e-06 2.396505276215375735e-01
+2.716842031061112994e+00 1.041478565740546980e+00 1.802029413704790848e-06 2.396495315561560369e-01
+2.768740585557515121e+00 1.041468913074802050e+00 1.802021752221132339e-06 2.396487915227752397e-01
+2.820639140053917249e+00 1.041462489675067271e+00 1.802016615127598408e-06 2.396482967054681112e-01
+2.872537694550319376e+00 1.041459285937025081e+00 1.802014099494678538e-06 2.396480528182951542e-01
--- a/boundary-layer-RANS-keps-NN/z.dat
+++ b/boundary-layer-RANS-keps-NN/z.dat
@ -0,0 +1 @@
+ 1  2
--- a/calc_earsm.py
+++ b/calc_earsm.py
@ -0,0 +1,166 @@
+def calc_earsm(k2d,om2d,u2d_face_w,u2d_face_s,v2d_face_w,v2d_face_s,uu2d,uv2d,vv2d,ww2d,vis2d_earsm):
+    from joblib import dump, load
+    import torch
+    import torch.nn as nn
+    import torch.optim as optim
+    from torch.utils.data import TensorDataset, DataLoader
+
+
+    global neural_net,pk_min, pk_max,scaler_yplus, scaler_pk,yplus_min, yplus_max, beta1_min, beta4_min, beta1_max, beta4_max, dudy,ttau,pk,vis2d_earsm1, beta2_min, beta2_max
+
+    if iter == 0:
+      print('NN calc_earsm called')
+      folder='../NN/'
+
+# load data
+      filename=str(folder)+'model.pth'
+      neural_net = torch.load(filename,weights_only=False)
+      print('model',neural_net)
+      scaler_pk = load(str(folder)+'model-scaler-pk.bin')
+      scaler_yplus = load(str(folder)+'model-scaler-yplus.bin')
+
+      beta1_min, beta1_max, beta2_min, beta2_max, beta4_min, beta4_max, pk_min, pk_max, yplus_min, yplus_max = np.loadtxt(str(folder)+'min-max.txt')
+
+#     beta1_max = -0.08
+#     beta2_min = 0.03
+#     beta4_max = -0.04
+
+      print('pk_min, pk_max',pk_min, pk_max, yplus_min, yplus_max)
+      print('beta1_min, beta1_max',beta1_min, beta1_max)
+      print('beta2_min, beta2_max',beta2_min, beta2_max)
+      print('beta4_min, beta4_max',beta4_min, beta4_max)
+
+      vis2d_earsm = vis2d
+
+
+    dudx=dphidx(u2d_face_w,u2d_face_s)
+    dudy=dphidy(u2d_face_w,u2d_face_s)
+
+    dvdx=dphidx(v2d_face_w,v2d_face_s)
+    dvdy=dphidy(v2d_face_w,v2d_face_s)
+
+    diss=0.09*k2d*om2d
+
+    rk=k2d
+    ttau=np.maximum(rk/diss,6*(viscos/diss)**0.5)
+    s11=ttau*dudx
+    s12=ttau*0.5*(dudy+dvdx)
+    s21=s12
+    s22=ttau*dvdy
+    om12=ttau*0.5*(dudy-dvdx)
+    om21=-om12
+    om22=0.
+    om11=0.
+    s11=ttau*dudx
+    s12=ttau*0.5*(dudy+dvdx)
+    s21=s12
+    s22=ttau*dvdy
+    II_S=(s11**2+s12**2+s21**2+s22**2)  # s_ij s_ji = s_ij s_ij
+    vist = vis2d_earsm-viscos
+#   vist = vis2d-viscos
+#   vist = k2d/om2d
+    uv_tot = uv2d - vist*(dudy+dvdx)
+#   if iter  == 0:
+#   if iter % 100  == 0:
+    pk = vist*dudy**2*viscos
+#   pk = -uv_tot*dudy*viscos
+
+    yplus = dist/viscos
+      
+# limit min/max
+# count values larger/smaller than max/min
+    pk_min_number= (pk < pk_min).sum()
+    pk_max_number= (pk > pk_max).sum()
+
+    print('pk_min_number',pk_min_number)
+    print('pk_max_number',pk_max_number)
+
+    yplus_min_number= (yplus< yplus_min).sum()
+    yplus_max_number= (yplus > yplus_max).sum()
+
+    print('yplus_min_number',yplus_min_number)
+    print('yplus_max_number',yplus_max_number)
+
+# set limits
+    pk=np.minimum(pk,pk_max)
+    pk=np.maximum(pk,pk_min)
+
+    yplus=np.minimum(yplus,yplus_max)
+    yplus=np.maximum(yplus,yplus_min)
+
+# re-shape
+    pk_org = pk
+    pk = pk.reshape(-1,1)
+    yplus= yplus.reshape(-1,1)
+    X=np.zeros((nj,2))
+    X[:,0] = scaler_pk.transform(pk)[:,0]
+    X[:,1] = scaler_yplus.transform(yplus)[:,0]
+
+    X_tensor = torch.tensor(X, dtype=torch.float32)
+    preds = neural_net(X_tensor)
+
+#transform from tensor to numpy
+    c_NN = preds.detach().numpy()
+
+    beta1=c_NN[:,0]
+    beta2=c_NN[:,1]
+    beta4=c_NN[:,2]
+   
+    beta1 = np.reshape(beta1,(ni,nj))
+    beta2 = np.reshape(beta2,(ni,nj))
+    beta4 = np.reshape(beta4,(ni,nj))
+      
+# limit min/max
+# count values larger/smaller than max/min
+    beta1_min_number= (beta1< beta1_min).sum()
+    beta1_max_number= (beta1> beta1_max).sum()
+
+    print('beta1_min_number',beta1_min_number)
+    print('beta1_max_number',beta1_max_number)
+
+    beta4_min_number= (beta4< beta4_min).sum()
+    beta4_max_number= (beta4> beta4_max).sum()
+
+    print('beta4_min_number',beta4_min_number)
+    print('beta4_max_number',beta4_max_number)
+
+# set limits
+    beta1=np.minimum(beta1,beta1_max)
+    beta1=np.maximum(beta1,beta1_min)
+
+    beta2=np.minimum(beta2,beta2_max)
+    beta2=np.maximum(beta2,beta2_min)
+
+    beta4=np.minimum(beta4,beta4_max)
+    beta4=np.maximum(beta4,beta4_min)
+
+#   uu=rk*beta4*(s12*om21-om12*s21)   # +rk*beta1*s11;  this is included via vis_earsm
+#   vv=rk*beta4*(s21*om12-om21*s12)   # +rk*beta1*s22;   this is included via vis_earsm
+    uu=rk*(beta4*(s12*om21-om12*s21)+beta2*(s11**2+s12**2-II_S/3))   # = a_11; 2/3*dk/dx_1 is omitted. It only affect the pressure
+    vv=rk*(beta4*(s21*om12-om21*s12)+beta2*(s22**2+s12**2-II_S/3))   # = a_22; 2/3*dk/dx_2 is omitted. It only affect the pressure
+    ww=-rk*beta2*II_S/3  
+    uu = np.maximum(uu+0.6666*k2d,0)-0.6666*k2d
+    vv = np.maximum(vv+0.6666*k2d,0)-0.6666*k2d
+#   ww = np.maximum(ww+0.6666*k2d,0)-0.6666*k2d
+    uv = rk*beta4*(s11*om12-om12*s22) #+rk*beta1*s12 # this is included via vis_earsm
+
+    vis2d_earsm_old= vis2d_earsm
+    vis2d_earsm=-0.5*rk*beta1*ttau+viscos
+
+    uu2d = urfvis*uu+(1-urfvis)*uu2d
+    uv2d = urfvis*uv+(1-urfvis)*uv2d
+    vv2d = urfvis*vv+(1-urfvis)*vv2d
+    ww2d = urfvis*ww+(1-urfvis)*ww2d
+    vis2d_earsm=urfvis*vis2d_earsm+(1-urfvis)*vis2d_earsm_old
+    vis2d_earsm1= vis2d_earsm
+
+    if iter % 100 == 0:
+
+      np.save('beta1_saved', beta1)
+      np.save('beta2_saved', beta2)
+      np.save('beta4_saved', beta4)
+      np.save('diss_saved', diss)
+      np.save('pk_saved', pk_org)
+
+
+    return uu2d,vv2d,ww2d,uv2d,vis2d_earsm
--- a/pyCALC-RANS.py
+++ b/pyCALC-RANS.py
--- a/80
+++ b/80
@ -0,0 +1,80 @@
+Download the report on pyCALC-RANS at
+
+https://www.tfd.chalmers.se/~lada/postscript_files/py-calc-rans.pdf
+
+
+For instructions how to run the code, see Section 11.3.
+
+
+***********
+
+The NN model for creating the NN model for EARSM is found in the folder NN/
+
+The NN model is incorporated in pyCALC-RANS in the folder channel-10000-earsm-NN/
+
+The work is presented in the paper 
+
+L. Davidson, "Using Neural Network for Improving an Explicit Algebraic Stress Model in 2D Flow",
+J. Tyacke and N. R. Vadlamani (eds.), Proceedings of the Cambridge Unsteady Flow
+Symposium 2024, pp. 37--53, 2025, 
+
+https://doi.org/10.1007/978-3-031-69035-8_2
+
+
+***********
+
+The PINN model for computing prand_k is located in folder  PINN-etmm15/
+
+compute vist_{t,PINN}:  compute-vist_k-solving-PDE-using-PINN.py
+
+Then run compute-c_k-and-c_omega_2-from-balance-of-k-and-omega-eqns.py
+
+It is  used in the CFD code in folder channel-2000-half-channel-PINN/
+
+It is used in the paper
+
+ L. Davidson, 
+"Using Physical Informed Neural Network (PINN) to Improve a k-omega Turbulence Model",
+ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements (ETMM-15), Dubrovnik on 22-24 September 2025.
+https://www.tfd.chalmers.se/~lada/postscript_files/Using-Physical-Informed-Neural-Network-PINN-to-Improve-a-k-omega-Turbulence-Model.pdf
+
+https://www.tfd.chalmers.se/~lada/PINN-improve-a-k-omega-turbulence-model.html
+
+***********
+ 
+PINN and NN scripts are found  in folder PINN-NN
+
+** vist-diffusion-pinn-5200-half-channel-save.py 
+
+** vist-diffusion-pinn-5200-half-channel-save.py 
+
+are used for solving the eq for \nu_{t,PINN}. The former is used to create good initial weights and 
+biases which are stored in vist-diffusion-pinn-5200-half-channel-save.ct. The latter
+is then used for converging the \nu_{t,PINN} eq. by loading vist-diffusion-pinn-5200-half-channel-save.ct.
+
+** compute-c_k-and-c_omega_2-from-balance-of-k-and-omega-eqns.py 
+
+is used for computing C_{k,PINN} and C_{\omega 2, PINN}
+
+create NN model for c_{K,NN}: PINN-NN/neural-k-omega-c_k-vist-over-y-and-uv_tot.py
+
+create NN model for c_{omega 2,NN}: PINN-NN/neural-k-omega-c_omega_2-vist-over-y-and-uv_tot.py
+
+create NN model for prand_{k,NN}: PINN-NN/neural-k-omega-prand_k-vist-over-y-and-uv_tot.py
+ 
+replacd the NN model for prand_{k,NN} with pySR (Symbolic Regression): prand_k-symbolic.py
+
+Use NN models in CFD code: 
+
+channel-10000-half-channel-NN-PINN-from-channel-NN-vist-over-y-uv_tot-2nd-submission-t_int-3000/
+
+boundary-layer-k-omega-ni-150-nj-100-yfac-yplus-0.8-ymax-4.5-ML-NN-from-channel-NN-vist-over-y-uv_tot-2nd-submission/
+
+The PINN model is used in:
+
+ channel-5200-half-channel-PINN-vist-over-y-uv_tot-2nd-submission
+
+Lars Davidson. Using Physics Informed Neural Network (PINN) and Neural Network (NN) to Improve a $k-\omega$ Turbulence Model
+
+https://www.tfd.chalmers.se/~lada/Using-Physical-Informed-Neural-Network-PINN-and-NN-improve-a-k-omega-turbulence-model.html
+