diff --git a/data/APA300ML/013215_PAss APA300ML 02.STEP b/data/APA300ML/013215_PAss APA300ML 02.STEP
new file mode 100644
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diff --git a/data/APA300ML/Model-Mdof.jpg b/data/APA300ML/Model-Mdof.jpg
new file mode 100755
index 0000000..afeb594
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diff --git a/data/APA300ML/Model.jpg b/data/APA300ML/Model.jpg
new file mode 100755
index 0000000..983c047
Binary files /dev/null and b/data/APA300ML/Model.jpg differ
diff --git a/data/APA300ML/Nodes_MDoF_NLIST_MLIST.txt b/data/APA300ML/Nodes_MDoF_NLIST_MLIST.txt
new file mode 100755
index 0000000..983e9a5
--- /dev/null
+++ b/data/APA300ML/Nodes_MDoF_NLIST_MLIST.txt
@@ -0,0 +1,75 @@
+
+ LIST ALL SELECTED NODES.   DSYS=      0
+
+ *** ANSYS - ENGINEERING ANALYSIS SYSTEM  RELEASE 2020 R2          20.2     ***
+ DISTRIBUTED ANSYS Academic Research                           
+
+ 00208316  VERSION=WINDOWS x64   16:56:48  JUL 28, 2020 CP=      2.234
+
+ Unknown                                                                       
+
+
+
+    NODE        X             Y             Z           THXY     THYZ     THZX
+    53917   0.0000      -0.15000E-001   0.0000          0.00     0.00     0.00
+    53918   0.0000       0.15000E-001   0.0000          0.00     0.00     0.00
+    53919 -0.32500E-001   0.0000        0.0000          0.00     0.00     0.00
+    53920 -0.12500E-001   0.0000        0.0000          0.00     0.00     0.00
+    53921 -0.75000E-002   0.0000        0.0000          0.00     0.00     0.00
+    53922  0.12500E-001   0.0000        0.0000          0.00     0.00     0.00
+    53923  0.32500E-001   0.0000        0.0000          0.00     0.00     0.00
+
+ LIST MASTERS ON ALL SELECTED NODES.
+ CURRENT DOF SET= UX   UY   UZ   ROTX ROTY ROTZ
+
+ *** ANSYS - ENGINEERING ANALYSIS SYSTEM  RELEASE 2020 R2          20.2     ***
+ DISTRIBUTED ANSYS Academic Research                           
+
+ 00208316  VERSION=WINDOWS x64   16:56:48  JUL 28, 2020 CP=      2.422
+
+ Unknown                                                                       
+
+
+     NODE  LABEL     SUPPORT
+     53917  UX  
+     53917  UY  
+     53917  UZ  
+     53917  ROTX
+     53917  ROTY
+     53917  ROTZ
+     53918  UX  
+     53918  UY  
+     53918  UZ  
+     53918  ROTX
+     53918  ROTY
+     53918  ROTZ
+     53919  UX  
+     53919  UY  
+     53919  UZ  
+     53919  ROTX
+     53919  ROTY
+     53919  ROTZ
+     53920  UX  
+     53920  UY  
+     53920  UZ  
+     53920  ROTX
+     53920  ROTY
+     53920  ROTZ
+     53921  UX  
+     53921  UY  
+     53921  UZ  
+     53921  ROTX
+     53921  ROTY
+     53921  ROTZ
+     53922  UX  
+     53922  UY  
+     53922  UZ  
+     53922  ROTX
+     53922  ROTY
+     53922  ROTZ
+     53923  UX  
+     53923  UY  
+     53923  UZ  
+     53923  ROTX
+     53923  ROTY
+     53923  ROTZ
diff --git a/data/APA300ML/mat_K-48modes-7MDoF.matrix b/data/APA300ML/mat_K-48modes-7MDoF.matrix
new file mode 100755
index 0000000..365e361
--- /dev/null
+++ b/data/APA300ML/mat_K-48modes-7MDoF.matrix
@@ -0,0 +1,50 @@
+
+MAT_K: 
+[ 1, 1]: 1.885e+08 [ 1, 2]: 3.425e+04 [ 1, 3]: 4.765e+04 [ 1, 4]: 1.737e+02 [ 1, 5]:-1.166e+02 [ 1, 6]:-3.364e+05 [ 1, 7]: 1.411e+07 [ 1, 8]:-6.145e+03 [ 1, 9]: 1.771e+04 [ 1,10]:-5.996e+01 [ 1,11]:-1.058e+02 [ 1,12]: 2.654e+04 [ 1,13]:-1.005e+08 [ 1,14]: 1.614e+07 [ 1,15]: 6.609e+03 [ 1,16]:-5.581e+01 [ 1,17]:-2.494e+02 [ 1,18]:-6.314e+05 [ 1,19]:-6.515e+05 [ 1,20]:-2.583e+05 [ 1,21]:-1.103e+03 [ 1,22]:-3.192e+00 [ 1,23]:-5.323e+00 [ 1,24]: 1.013e+03 [ 1,25]: 2.699e+04 [ 1,26]: 1.563e+04 [ 1,27]: 6.742e+01 [ 1,28]: 1.981e-02 [ 1,29]:-2.045e-01 [ 1,30]:-3.303e+01 [ 1,31]:-6.358e+05 [ 1,32]: 2.533e+05 [ 1,33]:-1.689e+03 [ 1,34]:-3.051e+00 [ 1,35]: 7.171e+00 [ 1,36]: 1.086e+03 [ 1,37]:-1.008e+08 [ 1,38]:-1.618e+07 [ 1,39]:-6.925e+04 [ 1,40]: 3.974e+02 [ 1,41]:-2.003e+03 [ 1,42]:-6.330e+05 [ 1,43]: 0.000e+00 [ 1,44]: 0.000e+00 [ 1,45]: 0.000e+00 [ 1,46]: 0.000e+00 [ 1,47]: 0.000e+00 [ 1,48]: 0.000e+00 
+[ 2, 1]: 3.425e+04 [ 2, 2]: 7.199e+06 [ 2, 3]: 1.007e+04 [ 2, 4]: 2.902e+01 [ 2, 5]:-2.590e+01 [ 2, 6]:-7.080e+01 [ 2, 7]: 6.574e+03 [ 2, 8]:-4.847e+05 [ 2, 9]: 3.341e+03 [ 2,10]:-1.145e+01 [ 2,11]:-1.310e+01 [ 2,12]: 1.547e+01 [ 2,13]: 1.944e+07 [ 2,14]:-3.401e+06 [ 2,15]:-2.084e+03 [ 2,16]: 9.619e+00 [ 2,17]: 4.804e+01 [ 2,18]: 1.183e+05 [ 2,19]: 1.246e+05 [ 2,20]: 4.960e+04 [ 2,21]: 2.022e+02 [ 2,22]: 6.212e-01 [ 2,23]: 9.462e-01 [ 2,24]:-1.952e+02 [ 2,25]:-3.600e+03 [ 2,26]:-3.533e+03 [ 2,27]:-9.685e+00 [ 2,28]:-5.289e-04 [ 2,29]: 2.006e-02 [ 2,30]: 3.122e+00 [ 2,31]:-1.212e+05 [ 2,32]: 4.845e+04 [ 2,33]:-2.766e+02 [ 2,34]:-5.785e-01 [ 2,35]: 1.150e+00 [ 2,36]: 2.086e+02 [ 2,37]:-1.948e+07 [ 2,38]:-3.408e+06 [ 2,39]:-1.124e+04 [ 2,40]: 7.370e+01 [ 2,41]:-3.147e+02 [ 2,42]:-1.184e+05 [ 2,43]: 0.000e+00 [ 2,44]: 0.000e+00 [ 2,45]: 0.000e+00 [ 2,46]: 0.000e+00 [ 2,47]: 0.000e+00 [ 2,48]: 0.000e+00 
+[ 3, 1]: 4.765e+04 [ 3, 2]: 1.007e+04 [ 3, 3]: 2.915e+07 [ 3, 4]: 1.701e+05 [ 3, 5]:-1.871e+02 [ 3, 6]:-1.063e+02 [ 3, 7]: 1.700e+04 [ 3, 8]:-1.714e+03 [ 3, 9]: 2.496e+06 [ 3,10]:-9.272e+03 [ 3,11]: 1.427e+01 [ 3,12]: 3.557e+01 [ 3,13]: 6.558e+03 [ 3,14]:-1.372e+03 [ 3,15]:-1.571e+07 [ 3,16]: 1.193e+05 [ 3,17]: 1.491e+05 [ 3,18]: 8.232e+01 [ 3,19]:-1.796e+03 [ 3,20]:-6.001e+02 [ 3,21]:-1.021e+05 [ 3,22]:-6.574e+01 [ 3,23]:-4.785e+02 [ 3,24]: 2.402e+00 [ 3,25]: 7.396e+01 [ 3,26]: 3.526e+01 [ 3,27]: 5.969e+03 [ 3,28]: 1.453e+01 [ 3,29]:-1.849e+01 [ 3,30]:-8.532e-02 [ 3,31]:-1.545e+03 [ 3,32]: 9.937e+02 [ 3,33]:-9.809e+04 [ 3,34]:-4.610e+01 [ 3,35]: 5.124e+02 [ 3,36]: 2.730e+00 [ 3,37]:-6.796e+04 [ 3,38]:-7.412e+03 [ 3,39]:-1.574e+07 [ 3,40]: 1.197e+05 [ 3,41]:-1.497e+05 [ 3,42]:-3.000e+02 [ 3,43]: 0.000e+00 [ 3,44]: 0.000e+00 [ 3,45]: 0.000e+00 [ 3,46]: 0.000e+00 [ 3,47]: 0.000e+00 [ 3,48]: 0.000e+00 
+[ 4, 1]: 1.737e+02 [ 4, 2]: 2.902e+01 [ 4, 3]: 1.701e+05 [ 4, 4]: 1.303e+03 [ 4, 5]:-8.101e-01 [ 4, 6]:-4.367e-01 [ 4, 7]: 5.488e+01 [ 4, 8]:-5.973e+00 [ 4, 9]: 9.273e+03 [ 4,10]:-3.237e+01 [ 4,11]: 2.514e-02 [ 4,12]: 1.148e-01 [ 4,13]: 1.512e+01 [ 4,14]:-3.915e+00 [ 4,15]:-8.942e+04 [ 4,16]: 5.704e+02 [ 4,17]: 2.583e+02 [ 4,18]: 2.072e-01 [ 4,19]:-3.698e+00 [ 4,20]:-5.605e-01 [ 4,21]:-2.232e+02 [ 4,22]:-3.585e-01 [ 4,23]:-8.988e-01 [ 4,24]: 5.061e-04 [ 4,25]: 1.691e-01 [ 4,26]:-4.635e-03 [ 4,27]: 1.232e+01 [ 4,28]: 4.915e-02 [ 4,29]:-4.016e-02 [ 4,30]:-1.286e-04 [ 4,31]:-5.808e+00 [ 4,32]: 4.249e+00 [ 4,33]:-2.160e+02 [ 4,34]:-2.939e-01 [ 4,35]: 9.738e-01 [ 4,36]: 1.326e-02 [ 4,37]:-2.345e+02 [ 4,38]:-2.281e+01 [ 4,39]:-8.952e+04 [ 4,40]: 5.716e+02 [ 4,41]:-2.607e+02 [ 4,42]:-1.129e+00 [ 4,43]: 0.000e+00 [ 4,44]: 0.000e+00 [ 4,45]: 0.000e+00 [ 4,46]: 0.000e+00 [ 4,47]: 0.000e+00 [ 4,48]: 0.000e+00 
+[ 5, 1]:-1.166e+02 [ 5, 2]:-2.590e+01 [ 5, 3]:-1.871e+02 [ 5, 4]:-8.101e-01 [ 5, 5]: 1.039e+04 [ 5, 6]: 2.003e-01 [ 5, 7]:-4.252e+01 [ 5, 8]: 1.137e+01 [ 5, 9]: 1.765e+01 [ 5,10]:-5.052e-02 [ 5,11]: 6.993e+01 [ 5,12]:-9.956e-02 [ 5,13]:-2.777e+01 [ 5,14]:-1.719e+00 [ 5,15]:-1.639e+05 [ 5,16]: 1.104e+03 [ 5,17]: 9.828e+01 [ 5,18]:-2.518e-02 [ 5,19]:-2.547e+00 [ 5,20]: 1.282e+00 [ 5,21]:-1.764e+02 [ 5,22]:-7.570e-01 [ 5,23]:-4.728e-01 [ 5,24]:-1.027e-02 [ 5,25]: 4.073e-02 [ 5,26]:-1.077e-01 [ 5,27]: 7.061e+00 [ 5,28]: 6.633e-02 [ 5,29]:-2.182e-02 [ 5,30]: 5.123e-04 [ 5,31]: 8.132e+00 [ 5,32]:-7.489e+00 [ 5,33]: 1.728e+02 [ 5,34]: 6.640e-01 [ 5,35]:-5.296e-01 [ 5,36]:-2.547e-02 [ 5,37]: 1.813e+02 [ 5,38]: 2.256e+01 [ 5,39]: 1.641e+05 [ 5,40]:-1.106e+03 [ 5,41]: 1.012e+02 [ 5,42]: 3.905e-01 [ 5,43]: 0.000e+00 [ 5,44]: 0.000e+00 [ 5,45]: 0.000e+00 [ 5,46]: 0.000e+00 [ 5,47]: 0.000e+00 [ 5,48]: 0.000e+00 
+[ 6, 1]:-3.364e+05 [ 6, 2]:-7.080e+01 [ 6, 3]:-1.063e+02 [ 6, 4]:-4.367e-01 [ 6, 5]: 2.003e-01 [ 6, 6]: 8.970e+02 [ 6, 7]:-2.654e+04 [ 6, 8]: 1.388e+01 [ 6, 9]:-4.376e+01 [ 6,10]: 1.473e-01 [ 6,11]: 2.494e-01 [ 6,12]:-4.988e+01 [ 6,13]: 1.800e+05 [ 6,14]:-2.279e+04 [ 6,15]:-1.242e+01 [ 6,16]: 9.270e-02 [ 6,17]: 4.529e-01 [ 6,18]: 1.164e+03 [ 6,19]: 1.179e+03 [ 6,20]: 4.532e+02 [ 6,21]: 2.096e+00 [ 6,22]: 5.562e-03 [ 6,23]: 1.059e-02 [ 6,24]:-1.763e+00 [ 6,25]:-4.886e+01 [ 6,26]:-2.725e+01 [ 6,27]:-1.331e-01 [ 6,28]:-2.274e-05 [ 6,29]: 4.067e-04 [ 6,30]: 5.762e-02 [ 6,31]: 1.152e+03 [ 6,32]:-4.469e+02 [ 6,33]: 3.765e+00 [ 6,34]: 5.493e-03 [ 6,35]:-1.620e-02 [ 6,36]:-1.901e+00 [ 6,37]: 1.807e+05 [ 6,38]: 2.286e+04 [ 6,39]: 1.567e+02 [ 6,40]:-7.520e-01 [ 6,41]: 4.622e+00 [ 6,42]: 1.168e+03 [ 6,43]: 0.000e+00 [ 6,44]: 0.000e+00 [ 6,45]: 0.000e+00 [ 6,46]: 0.000e+00 [ 6,47]: 0.000e+00 [ 6,48]: 0.000e+00 
+[ 7, 1]: 1.411e+07 [ 7, 2]: 6.574e+03 [ 7, 3]: 1.700e+04 [ 7, 4]: 5.488e+01 [ 7, 5]:-4.252e+01 [ 7, 6]:-2.654e+04 [ 7, 7]: 1.887e+08 [ 7, 8]:-5.233e+04 [ 7, 9]: 2.552e+04 [ 7,10]:-5.032e+01 [ 7,11]:-2.238e+00 [ 7,12]: 3.367e+05 [ 7,13]:-1.006e+08 [ 7,14]:-1.614e+07 [ 7,15]:-7.703e+03 [ 7,16]:-6.990e+00 [ 7,17]: 2.150e+02 [ 7,18]: 6.315e+05 [ 7,19]:-6.494e+05 [ 7,20]: 2.571e+05 [ 7,21]: 7.630e+02 [ 7,22]: 4.706e+00 [ 7,23]: 3.016e+00 [ 7,24]:-1.007e+03 [ 7,25]: 2.689e+04 [ 7,26]:-1.554e+04 [ 7,27]:-3.464e+01 [ 7,28]:-1.264e-01 [ 7,29]: 1.089e-01 [ 7,30]: 3.289e+01 [ 7,31]:-6.311e+05 [ 7,32]:-2.532e+05 [ 7,33]:-1.075e+03 [ 7,34]: 9.585e+00 [ 7,35]:-3.465e+00 [ 7,36]:-1.090e+03 [ 7,37]:-1.010e+08 [ 7,38]: 1.620e+07 [ 7,39]:-3.446e+04 [ 7,40]:-1.394e+02 [ 7,41]:-1.062e+03 [ 7,42]: 6.340e+05 [ 7,43]: 0.000e+00 [ 7,44]: 0.000e+00 [ 7,45]: 0.000e+00 [ 7,46]: 0.000e+00 [ 7,47]: 0.000e+00 [ 7,48]: 0.000e+00 
+[ 8, 1]:-6.145e+03 [ 8, 2]:-4.847e+05 [ 8, 3]:-1.714e+03 [ 8, 4]:-5.973e+00 [ 8, 5]: 1.137e+01 [ 8, 6]: 1.388e+01 [ 8, 7]:-5.233e+04 [ 8, 8]: 7.202e+06 [ 8, 9]:-3.571e+03 [ 8,10]: 7.984e+00 [ 8,11]:-3.270e-01 [ 8,12]:-1.110e+02 [ 8,13]:-1.944e+07 [ 8,14]:-3.401e+06 [ 8,15]:-1.097e+03 [ 8,16]:-1.699e-01 [ 8,17]: 3.707e+01 [ 8,18]: 1.183e+05 [ 8,19]:-1.242e+05 [ 8,20]: 4.935e+04 [ 8,21]: 1.502e+02 [ 8,22]: 8.686e-01 [ 8,23]: 5.863e-01 [ 8,24]:-1.940e+02 [ 8,25]: 3.592e+03 [ 8,26]:-3.514e+03 [ 8,27]:-8.476e+00 [ 8,28]:-1.098e-02 [ 8,29]: 2.808e-02 [ 8,30]: 3.091e+00 [ 8,31]: 1.204e+05 [ 8,32]: 4.845e+04 [ 8,33]: 1.808e+02 [ 8,34]:-1.747e+00 [ 8,35]: 7.019e-01 [ 8,36]: 2.098e+02 [ 8,37]: 1.950e+07 [ 8,38]:-3.411e+06 [ 8,39]: 6.059e+03 [ 8,40]: 2.691e+01 [ 8,41]: 1.836e+02 [ 8,42]:-1.186e+05 [ 8,43]: 0.000e+00 [ 8,44]: 0.000e+00 [ 8,45]: 0.000e+00 [ 8,46]: 0.000e+00 [ 8,47]: 0.000e+00 [ 8,48]: 0.000e+00 
+[ 9, 1]: 1.771e+04 [ 9, 2]: 3.341e+03 [ 9, 3]: 2.496e+06 [ 9, 4]: 9.273e+03 [ 9, 5]: 1.765e+01 [ 9, 6]:-4.376e+01 [ 9, 7]: 2.552e+04 [ 9, 8]:-3.571e+03 [ 9, 9]: 2.915e+07 [ 9,10]:-1.701e+05 [ 9,11]:-1.769e+02 [ 9,12]: 5.496e+01 [ 9,13]: 1.959e+03 [ 9,14]: 2.310e+02 [ 9,15]:-1.572e+07 [ 9,16]:-1.194e+05 [ 9,17]: 1.491e+05 [ 9,18]: 6.027e+01 [ 9,19]:-1.664e+03 [ 9,20]:-1.012e+03 [ 9,21]:-1.021e+05 [ 9,22]: 6.438e+01 [ 9,23]:-4.787e+02 [ 9,24]: 4.568e+00 [ 9,25]: 6.144e+01 [ 9,26]: 7.522e+01 [ 9,27]: 5.970e+03 [ 9,28]:-1.453e+01 [ 9,29]:-1.848e+01 [ 9,30]:-1.052e-01 [ 9,31]:-3.162e+02 [ 9,32]:-3.034e+02 [ 9,33]:-9.757e+04 [ 9,34]: 4.938e+01 [ 9,35]: 5.111e+02 [ 9,36]:-1.352e+00 [ 9,37]:-4.327e+04 [ 9,38]: 1.239e+03 [ 9,39]:-1.573e+07 [ 9,40]:-1.196e+05 [ 9,41]:-1.495e+05 [ 9,42]: 1.505e+00 [ 9,43]: 0.000e+00 [ 9,44]: 0.000e+00 [ 9,45]: 0.000e+00 [ 9,46]: 0.000e+00 [ 9,47]: 0.000e+00 [ 9,48]: 0.000e+00 
+[10, 1]:-5.996e+01 [10, 2]:-1.145e+01 [10, 3]:-9.272e+03 [10, 4]:-3.237e+01 [10, 5]:-5.052e-02 [10, 6]: 1.473e-01 [10, 7]:-5.032e+01 [10, 8]: 7.984e+00 [10, 9]:-1.701e+05 [10,10]: 1.304e+03 [10,11]: 8.169e-01 [10,12]:-8.924e-02 [10,13]:-1.439e+01 [10,14]:-4.720e-01 [10,15]: 8.945e+04 [10,16]: 5.706e+02 [10,17]:-2.584e+02 [10,18]:-9.975e-02 [10,19]: 3.756e+00 [10,20]: 2.961e+00 [10,21]: 2.235e+02 [10,22]:-3.579e-01 [10,23]: 8.990e-01 [10,24]:-1.387e-02 [10,25]:-1.423e-01 [10,26]:-2.364e-01 [10,27]:-1.233e+01 [10,28]: 4.920e-02 [10,29]: 4.018e-02 [10,30]: 2.603e-04 [10,31]: 1.348e+00 [10,32]: 2.877e+00 [10,33]: 2.147e+02 [10,34]:-2.972e-01 [10,35]:-9.730e-01 [10,36]: 1.109e-02 [10,37]: 1.197e+02 [10,38]:-1.668e+00 [10,39]: 8.952e+04 [10,40]: 5.716e+02 [10,41]: 2.601e+02 [10,42]: 2.267e-01 [10,43]: 0.000e+00 [10,44]: 0.000e+00 [10,45]: 0.000e+00 [10,46]: 0.000e+00 [10,47]: 0.000e+00 [10,48]: 0.000e+00 
+[11, 1]:-1.058e+02 [11, 2]:-1.310e+01 [11, 3]: 1.427e+01 [11, 4]: 2.514e-02 [11, 5]: 6.993e+01 [11, 6]: 2.494e-01 [11, 7]:-2.238e+00 [11, 8]:-3.270e-01 [11, 9]:-1.769e+02 [11,10]: 8.169e-01 [11,11]: 1.040e+04 [11,12]:-1.012e-02 [11,13]: 8.267e+00 [11,14]: 3.634e+00 [11,15]:-1.639e+05 [11,16]:-1.104e+03 [11,17]: 9.835e+01 [11,18]: 1.097e-01 [11,19]:-2.841e+00 [11,20]:-4.134e+00 [11,21]:-1.768e+02 [11,22]: 7.604e-01 [11,23]:-4.714e-01 [11,24]: 2.030e-02 [11,25]: 9.148e-02 [11,26]: 2.870e-01 [11,27]: 7.068e+00 [11,28]:-6.647e-02 [11,29]:-2.187e-02 [11,30]:-7.220e-04 [11,31]: 1.646e+00 [11,32]: 6.291e+00 [11,33]: 1.724e+02 [11,34]:-6.596e-01 [11,35]:-5.369e-01 [11,36]: 2.344e-02 [11,37]: 1.009e+02 [11,38]: 7.352e+00 [11,39]: 1.641e+05 [11,40]: 1.106e+03 [11,41]: 1.010e+02 [11,42]: 9.123e-01 [11,43]: 0.000e+00 [11,44]: 0.000e+00 [11,45]: 0.000e+00 [11,46]: 0.000e+00 [11,47]: 0.000e+00 [11,48]: 0.000e+00 
+[12, 1]: 2.654e+04 [12, 2]: 1.547e+01 [12, 3]: 3.557e+01 [12, 4]: 1.148e-01 [12, 5]:-9.956e-02 [12, 6]:-4.988e+01 [12, 7]: 3.367e+05 [12, 8]:-1.110e+02 [12, 9]: 5.496e+01 [12,10]:-8.924e-02 [12,11]:-1.012e-02 [12,12]: 8.977e+02 [12,13]:-1.800e+05 [12,14]:-2.279e+04 [12,15]:-1.613e+01 [12,16]:-6.389e-02 [12,17]: 4.322e-01 [12,18]: 1.164e+03 [12,19]:-1.175e+03 [12,20]: 4.513e+02 [12,21]: 1.285e+00 [12,22]: 8.884e-03 [12,23]: 5.162e-03 [12,24]:-1.754e+00 [12,25]: 4.868e+01 [12,26]:-2.710e+01 [12,27]:-5.659e-02 [12,28]:-2.468e-04 [12,29]: 1.727e-04 [12,30]: 5.739e-02 [12,31]:-1.141e+03 [12,32]:-4.462e+02 [12,33]:-2.328e+00 [12,34]: 1.861e-02 [12,35]:-5.538e-03 [12,36]:-1.907e+00 [12,37]:-1.810e+05 [12,38]: 2.290e+04 [12,39]:-7.328e+01 [12,40]:-2.794e-01 [12,41]:-2.225e+00 [12,42]: 1.170e+03 [12,43]: 0.000e+00 [12,44]: 0.000e+00 [12,45]: 0.000e+00 [12,46]: 0.000e+00 [12,47]: 0.000e+00 [12,48]: 0.000e+00 
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+[42, 1]:-6.330e+05 [42, 2]:-1.184e+05 [42, 3]:-3.000e+02 [42, 4]:-1.129e+00 [42, 5]: 3.905e-01 [42, 6]: 1.168e+03 [42, 7]: 6.340e+05 [42, 8]:-1.186e+05 [42, 9]: 1.505e+00 [42,10]: 2.267e-01 [42,11]: 9.123e-01 [42,12]: 1.170e+03 [42,13]: 3.889e+01 [42,14]: 6.504e+03 [42,15]: 1.355e+01 [42,16]: 2.227e-01 [42,17]:-1.097e-01 [42,18]:-2.729e+02 [42,19]:-1.927e-01 [42,20]: 5.227e+01 [42,21]:-3.811e-01 [42,22]:-1.841e-03 [42,23]:-1.758e-03 [42,24]: 6.908e-01 [42,25]:-4.312e-01 [42,26]:-1.715e+03 [42,27]:-1.708e-01 [42,28]: 6.772e-04 [42,29]: 5.659e-04 [42,30]:-1.065e+01 [42,31]: 1.443e+01 [42,32]: 3.253e+05 [42,33]: 1.595e+01 [42,34]: 1.301e-01 [42,35]:-1.360e-01 [42,36]: 1.315e+03 [42,37]:-1.074e+03 [42,38]:-9.308e+04 [42,39]: 2.697e+02 [42,40]:-3.972e+00 [42,41]: 7.473e+00 [42,42]: 1.479e+04 [42,43]: 0.000e+00 [42,44]: 0.000e+00 [42,45]: 0.000e+00 [42,46]: 0.000e+00 [42,47]: 0.000e+00 [42,48]: 0.000e+00 
+[43, 1]: 0.000e+00 [43, 2]: 0.000e+00 [43, 3]: 0.000e+00 [43, 4]: 0.000e+00 [43, 5]: 0.000e+00 [43, 6]: 0.000e+00 [43, 7]: 0.000e+00 [43, 8]: 0.000e+00 [43, 9]: 0.000e+00 [43,10]: 0.000e+00 [43,11]: 0.000e+00 [43,12]: 0.000e+00 [43,13]: 0.000e+00 [43,14]: 0.000e+00 [43,15]: 0.000e+00 [43,16]: 0.000e+00 [43,17]: 0.000e+00 [43,18]: 0.000e+00 [43,19]: 0.000e+00 [43,20]: 0.000e+00 [43,21]: 0.000e+00 [43,22]: 0.000e+00 [43,23]: 0.000e+00 [43,24]: 0.000e+00 [43,25]: 0.000e+00 [43,26]: 0.000e+00 [43,27]: 0.000e+00 [43,28]: 0.000e+00 [43,29]: 0.000e+00 [43,30]: 0.000e+00 [43,31]: 0.000e+00 [43,32]: 0.000e+00 [43,33]: 0.000e+00 [43,34]: 0.000e+00 [43,35]: 0.000e+00 [43,36]: 0.000e+00 [43,37]: 0.000e+00 [43,38]: 0.000e+00 [43,39]: 0.000e+00 [43,40]: 0.000e+00 [43,41]: 0.000e+00 [43,42]: 0.000e+00 [43,43]: 1.454e+09 [43,44]: 0.000e+00 [43,45]: 0.000e+00 [43,46]: 0.000e+00 [43,47]: 0.000e+00 [43,48]: 0.000e+00 
+[44, 1]: 0.000e+00 [44, 2]: 0.000e+00 [44, 3]: 0.000e+00 [44, 4]: 0.000e+00 [44, 5]: 0.000e+00 [44, 6]: 0.000e+00 [44, 7]: 0.000e+00 [44, 8]: 0.000e+00 [44, 9]: 0.000e+00 [44,10]: 0.000e+00 [44,11]: 0.000e+00 [44,12]: 0.000e+00 [44,13]: 0.000e+00 [44,14]: 0.000e+00 [44,15]: 0.000e+00 [44,16]: 0.000e+00 [44,17]: 0.000e+00 [44,18]: 0.000e+00 [44,19]: 0.000e+00 [44,20]: 0.000e+00 [44,21]: 0.000e+00 [44,22]: 0.000e+00 [44,23]: 0.000e+00 [44,24]: 0.000e+00 [44,25]: 0.000e+00 [44,26]: 0.000e+00 [44,27]: 0.000e+00 [44,28]: 0.000e+00 [44,29]: 0.000e+00 [44,30]: 0.000e+00 [44,31]: 0.000e+00 [44,32]: 0.000e+00 [44,33]: 0.000e+00 [44,34]: 0.000e+00 [44,35]: 0.000e+00 [44,36]: 0.000e+00 [44,37]: 0.000e+00 [44,38]: 0.000e+00 [44,39]: 0.000e+00 [44,40]: 0.000e+00 [44,41]: 0.000e+00 [44,42]: 0.000e+00 [44,43]: 0.000e+00 [44,44]: 1.454e+09 [44,45]: 0.000e+00 [44,46]: 0.000e+00 [44,47]: 0.000e+00 [44,48]: 0.000e+00 
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diff --git a/data/APA300ML/mat_K-80modes-7MDoF.matrix b/data/APA300ML/mat_K-80modes-7MDoF.matrix
new file mode 100755
index 0000000..995b7a4
--- /dev/null
+++ b/data/APA300ML/mat_K-80modes-7MDoF.matrix
@@ -0,0 +1,82 @@
+
+MAT_K: 
+[ 1, 1]: 1.885e+08 [ 1, 2]: 3.425e+04 [ 1, 3]: 4.765e+04 [ 1, 4]: 1.737e+02 [ 1, 5]:-1.166e+02 [ 1, 6]:-3.364e+05 [ 1, 7]: 1.411e+07 [ 1, 8]:-6.145e+03 [ 1, 9]: 1.771e+04 [ 1,10]:-5.996e+01 [ 1,11]:-1.058e+02 [ 1,12]: 2.654e+04 [ 1,13]:-1.005e+08 [ 1,14]: 1.614e+07 [ 1,15]: 6.609e+03 [ 1,16]:-5.581e+01 [ 1,17]:-2.494e+02 [ 1,18]:-6.314e+05 [ 1,19]:-6.515e+05 [ 1,20]:-2.583e+05 [ 1,21]:-1.103e+03 [ 1,22]:-3.192e+00 [ 1,23]:-5.323e+00 [ 1,24]: 1.013e+03 [ 1,25]: 2.699e+04 [ 1,26]: 1.563e+04 [ 1,27]: 6.742e+01 [ 1,28]: 1.981e-02 [ 1,29]:-2.045e-01 [ 1,30]:-3.303e+01 [ 1,31]:-6.358e+05 [ 1,32]: 2.533e+05 [ 1,33]:-1.689e+03 [ 1,34]:-3.051e+00 [ 1,35]: 7.171e+00 [ 1,36]: 1.086e+03 [ 1,37]:-1.008e+08 [ 1,38]:-1.618e+07 [ 1,39]:-6.925e+04 [ 1,40]: 3.974e+02 [ 1,41]:-2.003e+03 [ 1,42]:-6.330e+05 [ 1,43]: 0.000e+00 [ 1,44]: 0.000e+00 [ 1,45]: 0.000e+00 [ 1,46]: 0.000e+00 [ 1,47]: 0.000e+00 [ 1,48]: 0.000e+00 [ 1,49]: 0.000e+00 [ 1,50]: 0.000e+00 [ 1,51]: 0.000e+00 [ 1,52]: 0.000e+00 [ 1,53]: 0.000e+00 [ 1,54]: 0.000e+00 [ 1,55]: 0.000e+00 [ 1,56]: 0.000e+00 [ 1,57]: 0.000e+00 [ 1,58]: 0.000e+00 [ 1,59]: 0.000e+00 [ 1,60]: 0.000e+00 [ 1,61]: 0.000e+00 [ 1,62]: 0.000e+00 [ 1,63]: 0.000e+00 [ 1,64]: 0.000e+00 [ 1,65]: 0.000e+00 [ 1,66]: 0.000e+00 [ 1,67]: 0.000e+00 [ 1,68]: 0.000e+00 [ 1,69]: 0.000e+00 [ 1,70]: 0.000e+00 [ 1,71]: 0.000e+00 [ 1,72]: 0.000e+00 [ 1,73]: 0.000e+00 [ 1,74]: 0.000e+00 [ 1,75]: 0.000e+00 [ 1,76]: 0.000e+00 [ 1,77]: 0.000e+00 [ 1,78]: 0.000e+00 [ 1,79]: 0.000e+00 [ 1,80]: 0.000e+00 
+[ 2, 1]: 3.425e+04 [ 2, 2]: 7.199e+06 [ 2, 3]: 1.007e+04 [ 2, 4]: 2.902e+01 [ 2, 5]:-2.590e+01 [ 2, 6]:-7.080e+01 [ 2, 7]: 6.574e+03 [ 2, 8]:-4.847e+05 [ 2, 9]: 3.341e+03 [ 2,10]:-1.145e+01 [ 2,11]:-1.310e+01 [ 2,12]: 1.547e+01 [ 2,13]: 1.944e+07 [ 2,14]:-3.401e+06 [ 2,15]:-2.084e+03 [ 2,16]: 9.619e+00 [ 2,17]: 4.804e+01 [ 2,18]: 1.183e+05 [ 2,19]: 1.246e+05 [ 2,20]: 4.960e+04 [ 2,21]: 2.022e+02 [ 2,22]: 6.212e-01 [ 2,23]: 9.462e-01 [ 2,24]:-1.952e+02 [ 2,25]:-3.600e+03 [ 2,26]:-3.533e+03 [ 2,27]:-9.685e+00 [ 2,28]:-5.289e-04 [ 2,29]: 2.006e-02 [ 2,30]: 3.122e+00 [ 2,31]:-1.212e+05 [ 2,32]: 4.845e+04 [ 2,33]:-2.766e+02 [ 2,34]:-5.785e-01 [ 2,35]: 1.150e+00 [ 2,36]: 2.086e+02 [ 2,37]:-1.948e+07 [ 2,38]:-3.408e+06 [ 2,39]:-1.124e+04 [ 2,40]: 7.370e+01 [ 2,41]:-3.147e+02 [ 2,42]:-1.184e+05 [ 2,43]: 0.000e+00 [ 2,44]: 0.000e+00 [ 2,45]: 0.000e+00 [ 2,46]: 0.000e+00 [ 2,47]: 0.000e+00 [ 2,48]: 0.000e+00 [ 2,49]: 0.000e+00 [ 2,50]: 0.000e+00 [ 2,51]: 0.000e+00 [ 2,52]: 0.000e+00 [ 2,53]: 0.000e+00 [ 2,54]: 0.000e+00 [ 2,55]: 0.000e+00 [ 2,56]: 0.000e+00 [ 2,57]: 0.000e+00 [ 2,58]: 0.000e+00 [ 2,59]: 0.000e+00 [ 2,60]: 0.000e+00 [ 2,61]: 0.000e+00 [ 2,62]: 0.000e+00 [ 2,63]: 0.000e+00 [ 2,64]: 0.000e+00 [ 2,65]: 0.000e+00 [ 2,66]: 0.000e+00 [ 2,67]: 0.000e+00 [ 2,68]: 0.000e+00 [ 2,69]: 0.000e+00 [ 2,70]: 0.000e+00 [ 2,71]: 0.000e+00 [ 2,72]: 0.000e+00 [ 2,73]: 0.000e+00 [ 2,74]: 0.000e+00 [ 2,75]: 0.000e+00 [ 2,76]: 0.000e+00 [ 2,77]: 0.000e+00 [ 2,78]: 0.000e+00 [ 2,79]: 0.000e+00 [ 2,80]: 0.000e+00 
+[ 3, 1]: 4.765e+04 [ 3, 2]: 1.007e+04 [ 3, 3]: 2.915e+07 [ 3, 4]: 1.701e+05 [ 3, 5]:-1.871e+02 [ 3, 6]:-1.063e+02 [ 3, 7]: 1.700e+04 [ 3, 8]:-1.714e+03 [ 3, 9]: 2.496e+06 [ 3,10]:-9.272e+03 [ 3,11]: 1.427e+01 [ 3,12]: 3.557e+01 [ 3,13]: 6.558e+03 [ 3,14]:-1.372e+03 [ 3,15]:-1.571e+07 [ 3,16]: 1.193e+05 [ 3,17]: 1.491e+05 [ 3,18]: 8.232e+01 [ 3,19]:-1.796e+03 [ 3,20]:-6.001e+02 [ 3,21]:-1.021e+05 [ 3,22]:-6.574e+01 [ 3,23]:-4.785e+02 [ 3,24]: 2.402e+00 [ 3,25]: 7.396e+01 [ 3,26]: 3.526e+01 [ 3,27]: 5.969e+03 [ 3,28]: 1.453e+01 [ 3,29]:-1.849e+01 [ 3,30]:-8.532e-02 [ 3,31]:-1.545e+03 [ 3,32]: 9.937e+02 [ 3,33]:-9.809e+04 [ 3,34]:-4.610e+01 [ 3,35]: 5.124e+02 [ 3,36]: 2.730e+00 [ 3,37]:-6.796e+04 [ 3,38]:-7.412e+03 [ 3,39]:-1.574e+07 [ 3,40]: 1.197e+05 [ 3,41]:-1.497e+05 [ 3,42]:-3.000e+02 [ 3,43]: 0.000e+00 [ 3,44]: 0.000e+00 [ 3,45]: 0.000e+00 [ 3,46]: 0.000e+00 [ 3,47]: 0.000e+00 [ 3,48]: 0.000e+00 [ 3,49]: 0.000e+00 [ 3,50]: 0.000e+00 [ 3,51]: 0.000e+00 [ 3,52]: 0.000e+00 [ 3,53]: 0.000e+00 [ 3,54]: 0.000e+00 [ 3,55]: 0.000e+00 [ 3,56]: 0.000e+00 [ 3,57]: 0.000e+00 [ 3,58]: 0.000e+00 [ 3,59]: 0.000e+00 [ 3,60]: 0.000e+00 [ 3,61]: 0.000e+00 [ 3,62]: 0.000e+00 [ 3,63]: 0.000e+00 [ 3,64]: 0.000e+00 [ 3,65]: 0.000e+00 [ 3,66]: 0.000e+00 [ 3,67]: 0.000e+00 [ 3,68]: 0.000e+00 [ 3,69]: 0.000e+00 [ 3,70]: 0.000e+00 [ 3,71]: 0.000e+00 [ 3,72]: 0.000e+00 [ 3,73]: 0.000e+00 [ 3,74]: 0.000e+00 [ 3,75]: 0.000e+00 [ 3,76]: 0.000e+00 [ 3,77]: 0.000e+00 [ 3,78]: 0.000e+00 [ 3,79]: 0.000e+00 [ 3,80]: 0.000e+00 
+[ 4, 1]: 1.737e+02 [ 4, 2]: 2.902e+01 [ 4, 3]: 1.701e+05 [ 4, 4]: 1.303e+03 [ 4, 5]:-8.101e-01 [ 4, 6]:-4.367e-01 [ 4, 7]: 5.488e+01 [ 4, 8]:-5.973e+00 [ 4, 9]: 9.273e+03 [ 4,10]:-3.237e+01 [ 4,11]: 2.514e-02 [ 4,12]: 1.148e-01 [ 4,13]: 1.512e+01 [ 4,14]:-3.915e+00 [ 4,15]:-8.942e+04 [ 4,16]: 5.704e+02 [ 4,17]: 2.583e+02 [ 4,18]: 2.072e-01 [ 4,19]:-3.698e+00 [ 4,20]:-5.605e-01 [ 4,21]:-2.232e+02 [ 4,22]:-3.585e-01 [ 4,23]:-8.988e-01 [ 4,24]: 5.061e-04 [ 4,25]: 1.691e-01 [ 4,26]:-4.635e-03 [ 4,27]: 1.232e+01 [ 4,28]: 4.915e-02 [ 4,29]:-4.016e-02 [ 4,30]:-1.286e-04 [ 4,31]:-5.808e+00 [ 4,32]: 4.249e+00 [ 4,33]:-2.160e+02 [ 4,34]:-2.939e-01 [ 4,35]: 9.738e-01 [ 4,36]: 1.326e-02 [ 4,37]:-2.345e+02 [ 4,38]:-2.281e+01 [ 4,39]:-8.952e+04 [ 4,40]: 5.716e+02 [ 4,41]:-2.607e+02 [ 4,42]:-1.129e+00 [ 4,43]: 0.000e+00 [ 4,44]: 0.000e+00 [ 4,45]: 0.000e+00 [ 4,46]: 0.000e+00 [ 4,47]: 0.000e+00 [ 4,48]: 0.000e+00 [ 4,49]: 0.000e+00 [ 4,50]: 0.000e+00 [ 4,51]: 0.000e+00 [ 4,52]: 0.000e+00 [ 4,53]: 0.000e+00 [ 4,54]: 0.000e+00 [ 4,55]: 0.000e+00 [ 4,56]: 0.000e+00 [ 4,57]: 0.000e+00 [ 4,58]: 0.000e+00 [ 4,59]: 0.000e+00 [ 4,60]: 0.000e+00 [ 4,61]: 0.000e+00 [ 4,62]: 0.000e+00 [ 4,63]: 0.000e+00 [ 4,64]: 0.000e+00 [ 4,65]: 0.000e+00 [ 4,66]: 0.000e+00 [ 4,67]: 0.000e+00 [ 4,68]: 0.000e+00 [ 4,69]: 0.000e+00 [ 4,70]: 0.000e+00 [ 4,71]: 0.000e+00 [ 4,72]: 0.000e+00 [ 4,73]: 0.000e+00 [ 4,74]: 0.000e+00 [ 4,75]: 0.000e+00 [ 4,76]: 0.000e+00 [ 4,77]: 0.000e+00 [ 4,78]: 0.000e+00 [ 4,79]: 0.000e+00 [ 4,80]: 0.000e+00 
+[ 5, 1]:-1.166e+02 [ 5, 2]:-2.590e+01 [ 5, 3]:-1.871e+02 [ 5, 4]:-8.101e-01 [ 5, 5]: 1.039e+04 [ 5, 6]: 2.003e-01 [ 5, 7]:-4.252e+01 [ 5, 8]: 1.137e+01 [ 5, 9]: 1.765e+01 [ 5,10]:-5.052e-02 [ 5,11]: 6.993e+01 [ 5,12]:-9.956e-02 [ 5,13]:-2.777e+01 [ 5,14]:-1.719e+00 [ 5,15]:-1.639e+05 [ 5,16]: 1.104e+03 [ 5,17]: 9.828e+01 [ 5,18]:-2.518e-02 [ 5,19]:-2.547e+00 [ 5,20]: 1.282e+00 [ 5,21]:-1.764e+02 [ 5,22]:-7.570e-01 [ 5,23]:-4.728e-01 [ 5,24]:-1.027e-02 [ 5,25]: 4.073e-02 [ 5,26]:-1.077e-01 [ 5,27]: 7.061e+00 [ 5,28]: 6.633e-02 [ 5,29]:-2.182e-02 [ 5,30]: 5.123e-04 [ 5,31]: 8.132e+00 [ 5,32]:-7.489e+00 [ 5,33]: 1.728e+02 [ 5,34]: 6.640e-01 [ 5,35]:-5.296e-01 [ 5,36]:-2.547e-02 [ 5,37]: 1.813e+02 [ 5,38]: 2.256e+01 [ 5,39]: 1.641e+05 [ 5,40]:-1.106e+03 [ 5,41]: 1.012e+02 [ 5,42]: 3.905e-01 [ 5,43]: 0.000e+00 [ 5,44]: 0.000e+00 [ 5,45]: 0.000e+00 [ 5,46]: 0.000e+00 [ 5,47]: 0.000e+00 [ 5,48]: 0.000e+00 [ 5,49]: 0.000e+00 [ 5,50]: 0.000e+00 [ 5,51]: 0.000e+00 [ 5,52]: 0.000e+00 [ 5,53]: 0.000e+00 [ 5,54]: 0.000e+00 [ 5,55]: 0.000e+00 [ 5,56]: 0.000e+00 [ 5,57]: 0.000e+00 [ 5,58]: 0.000e+00 [ 5,59]: 0.000e+00 [ 5,60]: 0.000e+00 [ 5,61]: 0.000e+00 [ 5,62]: 0.000e+00 [ 5,63]: 0.000e+00 [ 5,64]: 0.000e+00 [ 5,65]: 0.000e+00 [ 5,66]: 0.000e+00 [ 5,67]: 0.000e+00 [ 5,68]: 0.000e+00 [ 5,69]: 0.000e+00 [ 5,70]: 0.000e+00 [ 5,71]: 0.000e+00 [ 5,72]: 0.000e+00 [ 5,73]: 0.000e+00 [ 5,74]: 0.000e+00 [ 5,75]: 0.000e+00 [ 5,76]: 0.000e+00 [ 5,77]: 0.000e+00 [ 5,78]: 0.000e+00 [ 5,79]: 0.000e+00 [ 5,80]: 0.000e+00 
+[ 6, 1]:-3.364e+05 [ 6, 2]:-7.080e+01 [ 6, 3]:-1.063e+02 [ 6, 4]:-4.367e-01 [ 6, 5]: 2.003e-01 [ 6, 6]: 8.970e+02 [ 6, 7]:-2.654e+04 [ 6, 8]: 1.388e+01 [ 6, 9]:-4.376e+01 [ 6,10]: 1.473e-01 [ 6,11]: 2.494e-01 [ 6,12]:-4.988e+01 [ 6,13]: 1.800e+05 [ 6,14]:-2.279e+04 [ 6,15]:-1.242e+01 [ 6,16]: 9.270e-02 [ 6,17]: 4.529e-01 [ 6,18]: 1.164e+03 [ 6,19]: 1.179e+03 [ 6,20]: 4.532e+02 [ 6,21]: 2.096e+00 [ 6,22]: 5.562e-03 [ 6,23]: 1.059e-02 [ 6,24]:-1.763e+00 [ 6,25]:-4.886e+01 [ 6,26]:-2.725e+01 [ 6,27]:-1.331e-01 [ 6,28]:-2.274e-05 [ 6,29]: 4.067e-04 [ 6,30]: 5.762e-02 [ 6,31]: 1.152e+03 [ 6,32]:-4.469e+02 [ 6,33]: 3.765e+00 [ 6,34]: 5.493e-03 [ 6,35]:-1.620e-02 [ 6,36]:-1.901e+00 [ 6,37]: 1.807e+05 [ 6,38]: 2.286e+04 [ 6,39]: 1.567e+02 [ 6,40]:-7.520e-01 [ 6,41]: 4.622e+00 [ 6,42]: 1.168e+03 [ 6,43]: 0.000e+00 [ 6,44]: 0.000e+00 [ 6,45]: 0.000e+00 [ 6,46]: 0.000e+00 [ 6,47]: 0.000e+00 [ 6,48]: 0.000e+00 [ 6,49]: 0.000e+00 [ 6,50]: 0.000e+00 [ 6,51]: 0.000e+00 [ 6,52]: 0.000e+00 [ 6,53]: 0.000e+00 [ 6,54]: 0.000e+00 [ 6,55]: 0.000e+00 [ 6,56]: 0.000e+00 [ 6,57]: 0.000e+00 [ 6,58]: 0.000e+00 [ 6,59]: 0.000e+00 [ 6,60]: 0.000e+00 [ 6,61]: 0.000e+00 [ 6,62]: 0.000e+00 [ 6,63]: 0.000e+00 [ 6,64]: 0.000e+00 [ 6,65]: 0.000e+00 [ 6,66]: 0.000e+00 [ 6,67]: 0.000e+00 [ 6,68]: 0.000e+00 [ 6,69]: 0.000e+00 [ 6,70]: 0.000e+00 [ 6,71]: 0.000e+00 [ 6,72]: 0.000e+00 [ 6,73]: 0.000e+00 [ 6,74]: 0.000e+00 [ 6,75]: 0.000e+00 [ 6,76]: 0.000e+00 [ 6,77]: 0.000e+00 [ 6,78]: 0.000e+00 [ 6,79]: 0.000e+00 [ 6,80]: 0.000e+00 
+[ 7, 1]: 1.411e+07 [ 7, 2]: 6.574e+03 [ 7, 3]: 1.700e+04 [ 7, 4]: 5.488e+01 [ 7, 5]:-4.252e+01 [ 7, 6]:-2.654e+04 [ 7, 7]: 1.887e+08 [ 7, 8]:-5.233e+04 [ 7, 9]: 2.552e+04 [ 7,10]:-5.032e+01 [ 7,11]:-2.238e+00 [ 7,12]: 3.367e+05 [ 7,13]:-1.006e+08 [ 7,14]:-1.614e+07 [ 7,15]:-7.703e+03 [ 7,16]:-6.990e+00 [ 7,17]: 2.150e+02 [ 7,18]: 6.315e+05 [ 7,19]:-6.494e+05 [ 7,20]: 2.571e+05 [ 7,21]: 7.630e+02 [ 7,22]: 4.706e+00 [ 7,23]: 3.016e+00 [ 7,24]:-1.007e+03 [ 7,25]: 2.689e+04 [ 7,26]:-1.554e+04 [ 7,27]:-3.464e+01 [ 7,28]:-1.264e-01 [ 7,29]: 1.089e-01 [ 7,30]: 3.289e+01 [ 7,31]:-6.311e+05 [ 7,32]:-2.532e+05 [ 7,33]:-1.075e+03 [ 7,34]: 9.585e+00 [ 7,35]:-3.465e+00 [ 7,36]:-1.090e+03 [ 7,37]:-1.010e+08 [ 7,38]: 1.620e+07 [ 7,39]:-3.446e+04 [ 7,40]:-1.394e+02 [ 7,41]:-1.062e+03 [ 7,42]: 6.340e+05 [ 7,43]: 0.000e+00 [ 7,44]: 0.000e+00 [ 7,45]: 0.000e+00 [ 7,46]: 0.000e+00 [ 7,47]: 0.000e+00 [ 7,48]: 0.000e+00 [ 7,49]: 0.000e+00 [ 7,50]: 0.000e+00 [ 7,51]: 0.000e+00 [ 7,52]: 0.000e+00 [ 7,53]: 0.000e+00 [ 7,54]: 0.000e+00 [ 7,55]: 0.000e+00 [ 7,56]: 0.000e+00 [ 7,57]: 0.000e+00 [ 7,58]: 0.000e+00 [ 7,59]: 0.000e+00 [ 7,60]: 0.000e+00 [ 7,61]: 0.000e+00 [ 7,62]: 0.000e+00 [ 7,63]: 0.000e+00 [ 7,64]: 0.000e+00 [ 7,65]: 0.000e+00 [ 7,66]: 0.000e+00 [ 7,67]: 0.000e+00 [ 7,68]: 0.000e+00 [ 7,69]: 0.000e+00 [ 7,70]: 0.000e+00 [ 7,71]: 0.000e+00 [ 7,72]: 0.000e+00 [ 7,73]: 0.000e+00 [ 7,74]: 0.000e+00 [ 7,75]: 0.000e+00 [ 7,76]: 0.000e+00 [ 7,77]: 0.000e+00 [ 7,78]: 0.000e+00 [ 7,79]: 0.000e+00 [ 7,80]: 0.000e+00 
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+[80, 1]: 0.000e+00 [80, 2]: 0.000e+00 [80, 3]: 0.000e+00 [80, 4]: 0.000e+00 [80, 5]: 0.000e+00 [80, 6]: 0.000e+00 [80, 7]: 0.000e+00 [80, 8]: 0.000e+00 [80, 9]: 0.000e+00 [80,10]: 0.000e+00 [80,11]: 0.000e+00 [80,12]: 0.000e+00 [80,13]: 0.000e+00 [80,14]: 0.000e+00 [80,15]: 0.000e+00 [80,16]: 0.000e+00 [80,17]: 0.000e+00 [80,18]: 0.000e+00 [80,19]: 0.000e+00 [80,20]: 0.000e+00 [80,21]: 0.000e+00 [80,22]: 0.000e+00 [80,23]: 0.000e+00 [80,24]: 0.000e+00 [80,25]: 0.000e+00 [80,26]: 0.000e+00 [80,27]: 0.000e+00 [80,28]: 0.000e+00 [80,29]: 0.000e+00 [80,30]: 0.000e+00 [80,31]: 0.000e+00 [80,32]: 0.000e+00 [80,33]: 0.000e+00 [80,34]: 0.000e+00 [80,35]: 0.000e+00 [80,36]: 0.000e+00 [80,37]: 0.000e+00 [80,38]: 0.000e+00 [80,39]: 0.000e+00 [80,40]: 0.000e+00 [80,41]: 0.000e+00 [80,42]: 0.000e+00 [80,43]: 0.000e+00 [80,44]: 0.000e+00 [80,45]: 0.000e+00 [80,46]: 0.000e+00 [80,47]: 0.000e+00 [80,48]: 0.000e+00 [80,49]: 0.000e+00 [80,50]: 0.000e+00 [80,51]: 0.000e+00 [80,52]: 0.000e+00 [80,53]: 0.000e+00 [80,54]: 0.000e+00 [80,55]: 0.000e+00 [80,56]: 0.000e+00 [80,57]: 0.000e+00 [80,58]: 0.000e+00 [80,59]: 0.000e+00 [80,60]: 0.000e+00 [80,61]: 0.000e+00 [80,62]: 0.000e+00 [80,63]: 0.000e+00 [80,64]: 0.000e+00 [80,65]: 0.000e+00 [80,66]: 0.000e+00 [80,67]: 0.000e+00 [80,68]: 0.000e+00 [80,69]: 0.000e+00 [80,70]: 0.000e+00 [80,71]: 0.000e+00 [80,72]: 0.000e+00 [80,73]: 0.000e+00 [80,74]: 0.000e+00 [80,75]: 0.000e+00 [80,76]: 0.000e+00 [80,77]: 0.000e+00 [80,78]: 0.000e+00 [80,79]: 0.000e+00 [80,80]: 4.521e+10 
diff --git a/data/APA300ML/mat_M-48modes-7MDoF.matrix b/data/APA300ML/mat_M-48modes-7MDoF.matrix
new file mode 100755
index 0000000..d8c11b4
--- /dev/null
+++ b/data/APA300ML/mat_M-48modes-7MDoF.matrix
@@ -0,0 +1,50 @@
+
+MAT_M: 
+[ 1, 1]: 1.180e-02 [ 1, 2]: 7.465e-06 [ 1, 3]:-4.626e-06 [ 1, 4]:-5.658e-08 [ 1, 5]: 3.093e-09 [ 1, 6]:-4.927e-05 [ 1, 7]:-5.480e-04 [ 1, 8]:-1.670e-07 [ 1, 9]:-2.843e-06 [ 1,10]: 9.509e-09 [ 1,11]: 1.781e-08 [ 1,12]:-1.188e-06 [ 1,13]: 9.924e-04 [ 1,14]: 1.097e-03 [ 1,15]:-9.478e-07 [ 1,16]: 1.574e-08 [ 1,17]: 3.817e-09 [ 1,18]: 1.140e-05 [ 1,19]: 1.553e-05 [ 1,20]: 9.580e-06 [ 1,21]: 7.592e-08 [ 1,22]: 1.140e-10 [ 1,23]: 4.081e-10 [ 1,24]:-3.650e-08 [ 1,25]:-6.292e-07 [ 1,26]:-5.334e-07 [ 1,27]:-5.921e-09 [ 1,28]: 5.234e-14 [ 1,29]: 1.962e-11 [ 1,30]: 1.644e-09 [ 1,31]: 1.531e-05 [ 1,32]:-9.947e-06 [ 1,33]: 2.021e-07 [ 1,34]: 2.527e-10 [ 1,35]:-9.290e-10 [ 1,36]:-4.225e-08 [ 1,37]: 1.040e-03 [ 1,38]:-1.068e-03 [ 1,39]: 4.628e-06 [ 1,40]:-1.290e-07 [ 1,41]: 1.994e-07 [ 1,42]: 1.173e-05 [ 1,43]: 4.076e-02 [ 1,44]:-3.380e-02 [ 1,45]:-7.819e-04 [ 1,46]:-8.400e-04 [ 1,47]: 5.384e-05 [ 1,48]: 4.505e-05 
+[ 2, 1]: 7.465e-06 [ 2, 2]: 8.757e-03 [ 2, 3]: 3.637e-07 [ 2, 4]: 5.789e-09 [ 2, 5]:-3.660e-09 [ 2, 6]:-2.546e-08 [ 2, 7]:-2.462e-07 [ 2, 8]: 5.964e-05 [ 2, 9]: 4.978e-07 [ 2,10]:-1.421e-09 [ 2,11]:-2.102e-09 [ 2,12]:-4.986e-09 [ 2,13]:-1.735e-03 [ 2,14]: 1.024e-03 [ 2,15]: 3.087e-07 [ 2,16]:-4.951e-09 [ 2,17]:-2.792e-09 [ 2,18]:-9.332e-06 [ 2,19]:-1.216e-05 [ 2,20]:-8.238e-06 [ 2,21]:-1.948e-08 [ 2,22]:-9.062e-11 [ 2,23]:-4.892e-11 [ 2,24]: 3.356e-08 [ 2,25]: 3.251e-07 [ 2,26]: 6.199e-07 [ 2,27]: 9.260e-10 [ 2,28]: 9.527e-13 [ 2,29]:-3.175e-12 [ 2,30]:-5.160e-10 [ 2,31]: 1.171e-05 [ 2,32]:-7.833e-06 [ 2,33]:-2.243e-08 [ 2,34]: 7.415e-11 [ 2,35]: 1.062e-10 [ 2,36]:-3.504e-08 [ 2,37]: 1.726e-03 [ 2,38]: 1.025e-03 [ 2,39]:-1.727e-06 [ 2,40]:-1.455e-08 [ 2,41]:-4.641e-08 [ 2,42]: 9.239e-06 [ 2,43]: 9.080e-04 [ 2,44]:-7.131e-04 [ 2,45]: 2.739e-02 [ 2,46]: 3.193e-02 [ 2,47]: 9.109e-05 [ 2,48]: 9.157e-05 
+[ 3, 1]:-4.626e-06 [ 3, 2]: 3.637e-07 [ 3, 3]: 9.913e-03 [ 3, 4]: 1.687e-05 [ 3, 5]: 1.739e-08 [ 3, 6]: 3.306e-08 [ 3, 7]:-1.550e-06 [ 3, 8]:-1.174e-07 [ 3, 9]:-2.135e-04 [ 3,10]: 8.639e-07 [ 3,11]:-2.176e-09 [ 3,12]:-7.706e-09 [ 3,13]:-2.401e-07 [ 3,14]:-2.925e-07 [ 3,15]: 9.281e-04 [ 3,16]:-9.070e-06 [ 3,17]:-3.116e-06 [ 3,18]:-7.750e-10 [ 3,19]: 5.971e-08 [ 3,20]: 2.174e-08 [ 3,21]: 6.826e-06 [ 3,22]: 8.060e-09 [ 3,23]: 2.844e-08 [ 3,24]:-5.529e-11 [ 3,25]:-2.645e-09 [ 3,26]:-3.802e-10 [ 3,27]:-4.289e-07 [ 3,28]:-8.716e-10 [ 3,29]: 1.385e-09 [ 3,30]: 5.789e-12 [ 3,31]: 8.496e-08 [ 3,32]:-1.043e-07 [ 3,33]: 6.545e-06 [ 3,34]: 6.815e-09 [ 3,35]:-3.097e-08 [ 3,36]:-3.748e-10 [ 3,37]: 3.091e-06 [ 3,38]: 3.870e-06 [ 3,39]: 9.259e-04 [ 3,40]:-9.074e-06 [ 3,41]: 3.147e-06 [ 3,42]: 1.110e-08 [ 3,43]:-2.975e-05 [ 3,44]: 3.628e-05 [ 3,45]: 1.503e-05 [ 3,46]: 3.376e-05 [ 3,47]:-4.092e-05 [ 3,48]:-5.492e-05 
+[ 4, 1]:-5.658e-08 [ 4, 2]: 5.789e-09 [ 4, 3]: 1.687e-05 [ 4, 4]: 2.588e-07 [ 4, 5]: 9.537e-11 [ 4, 6]: 3.126e-10 [ 4, 7]:-7.086e-09 [ 4, 8]: 2.139e-10 [ 4, 9]:-8.660e-07 [ 4,10]: 2.749e-09 [ 4,11]: 9.257e-12 [ 4,12]:-2.787e-11 [ 4,13]:-5.080e-09 [ 4,14]: 1.248e-10 [ 4,15]: 7.393e-06 [ 4,16]:-2.556e-08 [ 4,17]: 1.190e-08 [ 4,18]:-3.468e-11 [ 4,19]: 1.191e-11 [ 4,20]:-2.558e-11 [ 4,21]: 7.938e-09 [ 4,22]: 2.526e-11 [ 4,23]: 8.855e-12 [ 4,24]: 2.419e-13 [ 4,25]:-4.372e-12 [ 4,26]: 6.727e-12 [ 4,27]:-4.234e-10 [ 4,28]:-3.172e-12 [ 4,29]: 1.719e-12 [ 4,30]: 1.221e-14 [ 4,31]: 5.972e-10 [ 4,32]:-4.410e-10 [ 4,33]: 8.035e-09 [ 4,34]: 2.163e-11 [ 4,35]:-1.317e-11 [ 4,36]:-1.627e-12 [ 4,37]: 5.441e-08 [ 4,38]: 2.878e-08 [ 4,39]: 7.393e-06 [ 4,40]:-2.568e-08 [ 4,41]:-1.152e-08 [ 4,42]: 3.812e-10 [ 4,43]:-5.369e-07 [ 4,44]: 4.744e-07 [ 4,45]: 5.561e-07 [ 4,46]: 6.971e-07 [ 4,47]: 6.631e-06 [ 4,48]: 8.213e-06 
+[ 5, 1]: 3.093e-09 [ 5, 2]:-3.660e-09 [ 5, 3]: 1.739e-08 [ 5, 4]: 9.537e-11 [ 5, 5]: 9.747e-08 [ 5, 6]:-2.799e-12 [ 5, 7]: 6.145e-09 [ 5, 8]:-2.084e-10 [ 5, 9]:-2.525e-09 [ 5,10]: 8.527e-12 [ 5,11]:-7.393e-09 [ 5,12]: 3.641e-11 [ 5,13]: 2.243e-09 [ 5,14]:-1.912e-09 [ 5,15]: 7.923e-06 [ 5,16]:-7.133e-08 [ 5,17]:-2.545e-09 [ 5,18]: 8.993e-12 [ 5,19]: 1.330e-10 [ 5,20]:-1.904e-10 [ 5,21]: 1.275e-08 [ 5,22]: 7.505e-11 [ 5,23]: 3.539e-11 [ 5,24]: 1.168e-12 [ 5,25]:-7.262e-13 [ 5,26]: 1.225e-11 [ 5,27]:-5.079e-10 [ 5,28]:-4.953e-12 [ 5,29]: 1.461e-12 [ 5,30]:-6.349e-14 [ 5,31]:-4.955e-10 [ 5,32]: 7.119e-10 [ 5,33]:-1.246e-08 [ 5,34]:-6.755e-11 [ 5,35]: 4.005e-11 [ 5,36]: 2.651e-12 [ 5,37]:-6.809e-09 [ 5,38]:-5.893e-09 [ 5,39]:-7.912e-06 [ 5,40]: 7.137e-08 [ 5,41]:-2.723e-09 [ 5,42]: 6.182e-12 [ 5,43]:-6.362e-08 [ 5,44]:-1.956e-08 [ 5,45]: 7.551e-09 [ 5,46]:-4.178e-08 [ 5,47]:-2.204e-05 [ 5,48]:-6.571e-06 
+[ 6, 1]:-4.927e-05 [ 6, 2]:-2.546e-08 [ 6, 3]: 3.306e-08 [ 6, 4]: 3.126e-10 [ 6, 5]:-2.799e-12 [ 6, 6]: 5.798e-07 [ 6, 7]: 1.184e-06 [ 6, 8]:-3.281e-09 [ 6, 9]: 1.984e-08 [ 6,10]:-6.615e-11 [ 6,11]:-1.077e-10 [ 6,12]: 2.472e-09 [ 6,13]: 5.885e-06 [ 6,14]:-1.518e-05 [ 6,15]: 3.903e-09 [ 6,16]:-4.411e-11 [ 6,17]:-1.265e-11 [ 6,18]:-1.547e-09 [ 6,19]: 1.226e-08 [ 6,20]: 3.286e-08 [ 6,21]:-1.913e-10 [ 6,22]: 3.085e-13 [ 6,23]:-1.641e-12 [ 6,24]:-1.489e-10 [ 6,25]:-4.805e-10 [ 6,26]:-2.310e-09 [ 6,27]: 2.125e-11 [ 6,28]:-1.958e-14 [ 6,29]:-7.342e-14 [ 6,30]: 3.863e-12 [ 6,31]: 9.808e-09 [ 6,32]:-2.701e-08 [ 6,33]:-1.295e-09 [ 6,34]:-4.890e-13 [ 6,35]: 5.920e-12 [ 6,36]:-1.351e-10 [ 6,37]: 5.536e-06 [ 6,38]: 1.506e-05 [ 6,39]:-4.729e-08 [ 6,40]: 4.289e-10 [ 6,41]:-1.603e-09 [ 6,42]:-4.217e-09 [ 6,43]:-5.148e-04 [ 6,44]: 4.266e-04 [ 6,45]: 1.194e-05 [ 6,46]: 1.361e-05 [ 6,47]: 7.195e-07 [ 6,48]: 7.695e-07 
+[ 7, 1]:-5.480e-04 [ 7, 2]:-2.462e-07 [ 7, 3]:-1.550e-06 [ 7, 4]:-7.086e-09 [ 7, 5]: 6.145e-09 [ 7, 6]: 1.184e-06 [ 7, 7]: 1.178e-02 [ 7, 8]:-7.599e-06 [ 7, 9]:-1.986e-06 [ 7,10]: 9.315e-09 [ 7,11]:-8.418e-09 [ 7,12]: 4.915e-05 [ 7,13]: 9.947e-04 [ 7,14]:-1.094e-03 [ 7,15]: 3.086e-07 [ 7,16]: 7.615e-09 [ 7,17]:-5.888e-09 [ 7,18]:-1.141e-05 [ 7,19]: 1.548e-05 [ 7,20]:-9.562e-06 [ 7,21]:-2.439e-08 [ 7,22]:-2.837e-10 [ 7,23]:-1.133e-10 [ 7,24]: 3.643e-08 [ 7,25]:-6.250e-07 [ 7,26]: 5.320e-07 [ 7,27]: 1.006e-09 [ 7,28]: 1.001e-11 [ 7,29]:-2.114e-12 [ 7,30]:-1.642e-09 [ 7,31]: 1.490e-05 [ 7,32]: 9.935e-06 [ 7,33]: 6.565e-08 [ 7,34]:-7.031e-10 [ 7,35]: 6.652e-11 [ 7,36]: 4.223e-08 [ 7,37]: 1.053e-03 [ 7,38]: 1.054e-03 [ 7,39]: 2.553e-06 [ 7,40]: 4.637e-08 [ 7,41]: 5.281e-08 [ 7,42]:-1.182e-05 [ 7,43]:-3.364e-02 [ 7,44]:-4.067e-02 [ 7,45]: 7.426e-04 [ 7,46]:-5.722e-04 [ 7,47]:-2.705e-06 [ 7,48]: 1.304e-05 
+[ 8, 1]:-1.670e-07 [ 8, 2]: 5.964e-05 [ 8, 3]:-1.174e-07 [ 8, 4]: 2.139e-10 [ 8, 5]:-2.084e-10 [ 8, 6]:-3.281e-09 [ 8, 7]:-7.599e-06 [ 8, 8]: 8.759e-03 [ 8, 9]: 1.456e-07 [ 8,10]: 1.595e-09 [ 8,11]:-3.389e-09 [ 8,12]:-1.391e-08 [ 8,13]: 1.734e-03 [ 8,14]: 1.024e-03 [ 8,15]: 3.819e-08 [ 8,16]:-1.556e-09 [ 8,17]: 7.558e-12 [ 8,18]:-9.326e-06 [ 8,19]: 1.212e-05 [ 8,20]:-8.190e-06 [ 8,21]:-2.902e-08 [ 8,22]:-8.604e-11 [ 8,23]:-1.085e-10 [ 8,24]: 3.333e-08 [ 8,25]:-3.234e-07 [ 8,26]: 6.165e-07 [ 8,27]: 1.454e-09 [ 8,28]: 4.602e-13 [ 8,29]:-4.284e-12 [ 8,30]:-5.085e-10 [ 8,31]:-1.178e-05 [ 8,32]:-7.878e-06 [ 8,33]: 1.342e-08 [ 8,34]: 1.096e-10 [ 8,35]:-1.361e-10 [ 8,36]:-3.540e-08 [ 8,37]:-1.723e-03 [ 8,38]: 1.026e-03 [ 8,39]:-2.324e-08 [ 8,40]:-7.167e-09 [ 8,41]: 6.950e-09 [ 8,42]: 9.224e-06 [ 8,43]: 6.904e-04 [ 8,44]: 7.883e-04 [ 8,45]: 3.228e-02 [ 8,46]:-2.704e-02 [ 8,47]:-1.409e-05 [ 8,48]: 1.494e-05 
+[ 9, 1]:-2.843e-06 [ 9, 2]: 4.978e-07 [ 9, 3]:-2.135e-04 [ 9, 4]:-8.660e-07 [ 9, 5]:-2.525e-09 [ 9, 6]: 1.984e-08 [ 9, 7]:-1.986e-06 [ 9, 8]: 1.456e-07 [ 9, 9]: 9.913e-03 [ 9,10]:-1.688e-05 [ 9,11]: 1.788e-08 [ 9,12]:-1.249e-08 [ 9,13]:-3.575e-08 [ 9,14]: 6.383e-07 [ 9,15]: 9.282e-04 [ 9,16]: 9.072e-06 [ 9,17]:-3.115e-06 [ 9,18]:-3.506e-09 [ 9,19]: 6.123e-08 [ 9,20]: 7.949e-08 [ 9,21]: 6.830e-06 [ 9,22]:-8.005e-09 [ 9,23]: 2.843e-08 [ 9,24]:-3.620e-10 [ 9,25]:-2.165e-09 [ 9,26]:-6.361e-09 [ 9,27]:-4.288e-07 [ 9,28]: 8.719e-10 [ 9,29]: 1.384e-09 [ 9,30]: 7.515e-12 [ 9,31]: 1.650e-08 [ 9,32]: 5.352e-08 [ 9,33]: 6.528e-06 [ 9,34]:-6.957e-09 [ 9,35]:-3.097e-08 [ 9,36]: 2.081e-10 [ 9,37]: 2.268e-06 [ 9,38]: 8.955e-07 [ 9,39]: 9.257e-04 [ 9,40]: 9.058e-06 [ 9,41]: 3.149e-06 [ 9,42]: 1.015e-08 [ 9,43]:-1.160e-05 [ 9,44]: 3.325e-05 [ 9,45]: 2.108e-05 [ 9,46]: 2.431e-05 [ 9,47]: 2.326e-05 [ 9,48]: 4.971e-05 
+[10, 1]: 9.509e-09 [10, 2]:-1.421e-09 [10, 3]: 8.639e-07 [10, 4]: 2.749e-09 [10, 5]: 8.527e-12 [10, 6]:-6.615e-11 [10, 7]: 9.315e-09 [10, 8]: 1.595e-09 [10, 9]:-1.688e-05 [10,10]: 2.590e-07 [10,11]:-1.220e-10 [10,12]:-1.081e-11 [10,13]: 2.785e-09 [10,14]: 1.403e-09 [10,15]:-7.392e-06 [10,16]:-2.557e-08 [10,17]:-1.188e-08 [10,18]:-1.358e-11 [10,19]:-1.306e-10 [10,20]:-1.425e-10 [10,21]:-8.003e-09 [10,22]: 2.557e-11 [10,23]:-9.000e-12 [10,24]: 6.350e-13 [10,25]: 5.610e-12 [10,26]: 1.362e-11 [10,27]: 4.248e-10 [10,28]:-3.185e-12 [10,29]:-1.721e-12 [10,30]:-1.664e-15 [10,31]:-2.055e-10 [10,32]:-3.951e-10 [10,33]:-7.804e-09 [10,34]: 2.109e-11 [10,35]: 1.259e-11 [10,36]:-1.516e-12 [10,37]:-1.511e-08 [10,38]:-2.593e-09 [10,39]:-7.384e-06 [10,40]:-2.555e-08 [10,41]: 1.165e-08 [10,42]: 2.498e-11 [10,43]: 1.604e-07 [10,44]: 3.938e-08 [10,45]: 9.588e-08 [10,46]:-2.145e-07 [10,47]:-5.105e-07 [10,48]: 6.337e-07 
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+[12, 1]:-1.188e-06 [12, 2]:-4.986e-09 [12, 3]:-7.706e-09 [12, 4]:-2.787e-11 [12, 5]: 3.641e-11 [12, 6]: 2.472e-09 [12, 7]: 4.915e-05 [12, 8]:-1.391e-08 [12, 9]:-1.249e-08 [12,10]:-1.081e-11 [12,11]:-1.089e-10 [12,12]: 5.796e-07 [12,13]:-5.869e-06 [12,14]:-1.517e-05 [12,15]: 3.327e-09 [12,16]: 5.250e-11 [12,17]:-4.600e-11 [12,18]:-1.644e-09 [12,19]:-1.223e-08 [12,20]: 3.249e-08 [12,21]: 1.723e-10 [12,22]:-6.313e-13 [12,23]: 5.372e-13 [12,24]:-1.471e-10 [12,25]: 4.980e-10 [12,26]:-2.278e-09 [12,27]:-1.061e-11 [12,28]: 3.505e-14 [12,29]: 4.177e-14 [12,30]: 3.845e-12 [12,31]:-1.282e-08 [12,32]:-2.763e-08 [12,33]: 5.503e-10 [12,34]:-2.617e-12 [12,35]:-1.013e-12 [12,36]:-1.390e-10 [12,37]:-5.441e-06 [12,38]: 1.502e-05 [12,39]: 1.513e-08 [12,40]: 1.301e-10 [12,41]: 4.181e-10 [12,42]:-4.852e-09 [12,43]:-4.263e-04 [12,44]:-5.149e-04 [12,45]: 1.276e-05 [12,46]:-1.044e-05 [12,47]: 2.755e-07 [12,48]:-2.040e-07 
+[13, 1]: 9.924e-04 [13, 2]:-1.735e-03 [13, 3]:-2.401e-07 [13, 4]:-5.080e-09 [13, 5]: 2.243e-09 [13, 6]: 5.885e-06 [13, 7]: 9.947e-04 [13, 8]: 1.734e-03 [13, 9]:-3.575e-08 [13,10]: 2.785e-09 [13,11]: 2.198e-09 [13,12]:-5.869e-06 [13,13]: 2.069e-02 [13,14]:-2.979e-06 [13,15]: 1.004e-07 [13,16]:-1.199e-08 [13,17]: 6.085e-09 [13,18]: 1.334e-08 [13,19]: 2.673e-03 [13,20]: 1.154e-07 [13,21]:-8.268e-08 [13,22]:-1.065e-11 [13,23]:-3.169e-10 [13,24]:-4.609e-10 [13,25]:-6.816e-05 [13,26]:-1.313e-08 [13,27]: 2.844e-09 [13,28]:-3.180e-12 [13,29]:-5.382e-11 [13,30]: 4.820e-12 [13,31]: 7.539e-06 [13,32]:-3.346e-09 [13,33]: 1.388e-08 [13,34]:-1.259e-11 [13,35]:-6.481e-11 [13,36]:-3.712e-11 [13,37]:-4.590e-04 [13,38]:-5.848e-07 [13,39]: 3.293e-07 [13,40]:-3.324e-09 [13,41]: 1.433e-08 [13,42]:-7.648e-09 [13,43]:-2.324e-03 [13,44]: 2.415e-02 [13,45]: 2.816e-03 [13,46]:-3.416e-02 [13,47]:-2.820e-05 [13,48]:-3.837e-06 
+[14, 1]: 1.097e-03 [14, 2]: 1.024e-03 [14, 3]:-2.925e-07 [14, 4]: 1.248e-10 [14, 5]:-1.912e-09 [14, 6]:-1.518e-05 [14, 7]:-1.094e-03 [14, 8]: 1.024e-03 [14, 9]: 6.383e-07 [14,10]: 1.403e-09 [14,11]: 4.183e-09 [14,12]:-1.517e-05 [14,13]:-2.979e-06 [14,14]: 2.320e-02 [14,15]:-7.683e-08 [14,16]:-1.960e-08 [14,17]: 5.402e-09 [14,18]:-3.709e-05 [14,19]:-9.688e-09 [14,20]: 2.262e-03 [14,21]:-1.198e-07 [14,22]:-2.212e-10 [14,23]:-2.858e-10 [14,24]:-1.109e-05 [14,25]: 4.984e-09 [14,26]:-1.879e-04 [14,27]: 5.040e-09 [14,28]: 1.795e-10 [14,29]:-2.067e-11 [14,30]: 3.096e-07 [14,31]: 1.126e-08 [14,32]:-5.216e-07 [14,33]: 1.181e-09 [14,34]: 2.111e-11 [14,35]:-1.996e-11 [14,36]:-4.416e-09 [14,37]:-4.456e-08 [14,38]: 4.635e-05 [14,39]: 5.966e-08 [14,40]:-1.112e-09 [14,41]: 2.563e-09 [14,42]: 2.317e-06 [14,43]: 4.163e-02 [14,44]: 3.859e-03 [14,45]: 4.109e-02 [14,46]: 3.349e-03 [14,47]:-1.746e-05 [14,48]: 2.574e-05 
+[15, 1]:-9.478e-07 [15, 2]: 3.087e-07 [15, 3]: 9.281e-04 [15, 4]: 7.393e-06 [15, 5]: 7.923e-06 [15, 6]: 3.903e-09 [15, 7]: 3.086e-07 [15, 8]: 3.819e-08 [15, 9]: 9.282e-04 [15,10]:-7.392e-06 [15,11]: 7.923e-06 [15,12]: 3.327e-09 [15,13]: 1.004e-07 [15,14]:-7.683e-08 [15,15]: 2.303e-02 [15,16]: 9.414e-10 [15,17]: 2.876e-05 [15,18]: 2.119e-10 [15,19]:-1.208e-07 [15,20]:-1.677e-07 [15,21]: 2.262e-03 [15,22]:-6.127e-10 [15,23]: 1.080e-05 [15,24]: 8.503e-10 [15,25]:-2.466e-08 [15,26]: 1.440e-08 [15,27]:-1.364e-04 [15,28]: 3.878e-11 [15,29]: 3.658e-07 [15,30]:-1.784e-11 [15,31]:-6.780e-09 [15,32]: 3.783e-09 [15,33]:-3.202e-06 [15,34]:-3.393e-12 [15,35]:-7.718e-09 [15,36]: 1.090e-11 [15,37]: 7.888e-07 [15,38]: 1.844e-07 [15,39]:-4.059e-04 [15,40]: 4.701e-10 [15,41]:-7.983e-07 [15,42]: 4.297e-09 [15,43]:-1.218e-05 [15,44]: 5.413e-06 [15,45]: 8.501e-06 [15,46]: 1.335e-05 [15,47]: 3.290e-04 [15,48]:-4.937e-03 
+[16, 1]: 1.574e-08 [16, 2]:-4.951e-09 [16, 3]:-9.070e-06 [16, 4]:-2.556e-08 [16, 5]:-7.133e-08 [16, 6]:-4.411e-11 [16, 7]: 7.615e-09 [16, 8]:-1.556e-09 [16, 9]: 9.072e-06 [16,10]:-2.557e-08 [16,11]: 7.132e-08 [16,12]: 5.250e-11 [16,13]:-1.199e-08 [16,14]:-1.960e-08 [16,15]: 9.414e-10 [16,16]: 9.789e-07 [16,17]: 4.765e-11 [16,18]:-7.564e-11 [16,19]: 1.691e-10 [16,20]: 2.406e-09 [16,21]: 8.513e-11 [16,22]: 4.290e-08 [16,23]:-1.823e-12 [16,24]:-1.351e-11 [16,25]:-5.883e-12 [16,26]:-2.293e-10 [16,27]:-2.220e-11 [16,28]:-8.770e-10 [16,29]: 2.419e-13 [16,30]:-2.180e-13 [16,31]: 8.979e-11 [16,32]:-2.983e-10 [16,33]:-4.887e-11 [16,34]: 3.513e-11 [16,35]: 3.780e-13 [16,36]:-1.098e-12 [16,37]:-6.982e-09 [16,38]:-4.193e-09 [16,39]:-6.620e-10 [16,40]:-4.762e-08 [16,41]:-2.570e-11 [16,42]:-1.098e-10 [16,43]: 1.941e-07 [16,44]:-4.668e-08 [16,45]:-3.968e-08 [16,46]:-1.941e-07 [16,47]: 2.790e-04 [16,48]: 1.876e-05 
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+[18, 1]: 1.140e-05 [18, 2]:-9.332e-06 [18, 3]:-7.750e-10 [18, 4]:-3.468e-11 [18, 5]: 8.993e-12 [18, 6]:-1.547e-09 [18, 7]:-1.141e-05 [18, 8]:-9.326e-06 [18, 9]:-3.506e-09 [18,10]:-1.358e-11 [18,11]:-5.944e-12 [18,12]:-1.644e-09 [18,13]: 1.334e-08 [18,14]:-3.709e-05 [18,15]: 2.119e-10 [18,16]:-7.564e-11 [18,17]: 1.397e-10 [18,18]: 4.334e-07 [18,19]: 2.284e-10 [18,20]: 1.282e-05 [18,21]: 6.177e-10 [18,22]:-3.195e-13 [18,23]: 1.843e-12 [18,24]:-5.064e-08 [18,25]: 1.553e-11 [18,26]:-8.954e-07 [18,27]:-2.801e-11 [18,28]: 8.937e-13 [18,29]: 8.080e-14 [18,30]: 1.380e-09 [18,31]: 1.645e-10 [18,32]: 6.402e-09 [18,33]: 5.396e-11 [18,34]: 1.754e-13 [18,35]:-3.149e-13 [18,36]: 2.068e-11 [18,37]:-8.845e-09 [18,38]:-2.286e-06 [18,39]: 2.416e-09 [18,40]:-3.295e-11 [18,41]: 7.904e-11 [18,42]:-6.971e-09 [18,43]:-7.972e-05 [18,44]:-7.204e-06 [18,45]:-1.510e-04 [18,46]:-1.253e-05 [18,47]:-1.422e-07 [18,48]:-9.741e-08 
+[19, 1]: 1.553e-05 [19, 2]:-1.216e-05 [19, 3]: 5.971e-08 [19, 4]: 1.191e-11 [19, 5]: 1.330e-10 [19, 6]: 1.226e-08 [19, 7]: 1.548e-05 [19, 8]: 1.212e-05 [19, 9]: 6.123e-08 [19,10]:-1.306e-10 [19,11]: 1.623e-10 [19,12]:-1.223e-08 [19,13]: 2.673e-03 [19,14]:-9.688e-09 [19,15]:-1.208e-07 [19,16]: 1.691e-10 [19,17]:-3.313e-09 [19,18]: 2.284e-10 [19,19]: 8.621e-03 [19,20]:-4.294e-08 [19,21]: 1.834e-07 [19,22]: 3.270e-11 [19,23]: 1.114e-09 [19,24]: 1.846e-10 [19,25]: 4.487e-04 [19,26]:-5.744e-10 [19,27]:-1.044e-08 [19,28]:-3.863e-14 [19,29]:-8.920e-11 [19,30]:-2.393e-11 [19,31]:-6.612e-05 [19,32]:-9.674e-11 [19,33]:-4.806e-09 [19,34]:-1.221e-12 [19,35]:-3.020e-11 [19,36]: 1.123e-12 [19,37]:-1.196e-06 [19,38]:-7.547e-09 [19,39]:-5.394e-09 [19,40]:-1.812e-11 [19,41]: 9.285e-11 [19,42]:-5.961e-11 [19,43]:-1.315e-05 [19,44]: 1.355e-04 [19,45]: 1.659e-05 [19,46]:-2.041e-04 [19,47]:-4.010e-07 [19,48]:-7.401e-07 
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+[46, 1]:-8.400e-04 [46, 2]: 3.193e-02 [46, 3]: 3.376e-05 [46, 4]: 6.971e-07 [46, 5]:-4.178e-08 [46, 6]: 1.361e-05 [46, 7]:-5.722e-04 [46, 8]:-2.704e-02 [46, 9]: 2.431e-05 [46,10]:-2.145e-07 [46,11]:-1.115e-07 [46,12]:-1.044e-05 [46,13]:-3.416e-02 [46,14]: 3.349e-03 [46,15]: 1.335e-05 [46,16]:-1.941e-07 [46,17]: 3.937e-08 [46,18]:-1.253e-05 [46,19]:-2.041e-04 [46,20]:-1.656e-05 [46,21]: 2.880e-07 [46,22]:-6.312e-10 [46,23]: 1.850e-09 [46,24]: 6.941e-08 [46,25]: 5.668e-06 [46,26]: 1.235e-06 [46,27]:-8.936e-09 [46,28]: 2.261e-11 [46,29]:-1.391e-11 [46,30]:-1.178e-09 [46,31]: 2.039e-04 [46,32]:-1.487e-05 [46,33]:-1.966e-06 [46,34]: 8.929e-10 [46,35]: 8.629e-09 [46,36]:-6.628e-08 [46,37]: 3.482e-02 [46,38]: 3.624e-03 [46,39]:-6.299e-05 [46,40]: 7.774e-07 [46,41]:-2.317e-06 [46,42]: 1.305e-05 [46,43]: 0.000e+00 [46,44]: 0.000e+00 [46,45]: 0.000e+00 [46,46]: 1.000e+00 [46,47]: 0.000e+00 [46,48]: 0.000e+00 
+[47, 1]: 5.384e-05 [47, 2]: 9.109e-05 [47, 3]:-4.092e-05 [47, 4]: 6.631e-06 [47, 5]:-2.204e-05 [47, 6]: 7.195e-07 [47, 7]:-2.705e-06 [47, 8]:-1.409e-05 [47, 9]: 2.326e-05 [47,10]:-5.105e-07 [47,11]: 2.253e-05 [47,12]: 2.755e-07 [47,13]:-2.820e-05 [47,14]:-1.746e-05 [47,15]: 3.290e-04 [47,16]: 2.790e-04 [47,17]:-4.137e-06 [47,18]:-1.422e-07 [47,19]:-4.010e-07 [47,20]: 1.179e-06 [47,21]: 2.695e-06 [47,22]:-2.435e-07 [47,23]: 1.310e-08 [47,24]:-6.147e-09 [47,25]: 1.060e-08 [47,26]:-8.850e-08 [47,27]:-1.197e-07 [47,28]: 1.151e-08 [47,29]: 2.026e-10 [47,30]: 2.056e-10 [47,31]: 4.856e-07 [47,32]:-1.274e-06 [47,33]:-5.839e-06 [47,34]: 2.177e-07 [47,35]: 3.289e-08 [47,36]:-5.031e-09 [47,37]:-3.263e-05 [47,38]: 3.959e-05 [47,39]:-1.976e-04 [47,40]:-2.725e-04 [47,41]:-8.813e-06 [47,42]:-1.145e-06 [47,43]: 0.000e+00 [47,44]: 0.000e+00 [47,45]: 0.000e+00 [47,46]: 0.000e+00 [47,47]: 1.000e+00 [47,48]: 0.000e+00 
+[48, 1]: 4.505e-05 [48, 2]: 9.157e-05 [48, 3]:-5.492e-05 [48, 4]: 8.213e-06 [48, 5]:-6.571e-06 [48, 6]: 7.695e-07 [48, 7]: 1.304e-05 [48, 8]: 1.494e-05 [48, 9]: 4.971e-05 [48,10]: 6.337e-07 [48,11]:-4.296e-06 [48,12]:-2.040e-07 [48,13]:-3.837e-06 [48,14]: 2.574e-05 [48,15]:-4.937e-03 [48,16]: 1.876e-05 [48,17]: 1.243e-04 [48,18]:-9.741e-08 [48,19]:-7.401e-07 [48,20]:-7.062e-07 [48,21]:-8.057e-05 [48,22]:-1.719e-08 [48,23]:-4.077e-07 [48,24]: 2.840e-09 [48,25]: 2.785e-08 [48,26]: 5.283e-08 [48,27]: 4.190e-06 [48,28]: 8.173e-10 [48,29]:-9.679e-09 [48,30]:-3.893e-11 [48,31]:-1.888e-07 [48,32]:-8.492e-07 [48,33]: 7.390e-05 [48,34]: 5.976e-09 [48,35]:-4.166e-07 [48,36]:-3.429e-09 [48,37]:-7.765e-05 [48,38]: 5.274e-05 [48,39]: 5.069e-03 [48,40]:-9.402e-06 [48,41]: 1.191e-04 [48,42]:-6.056e-07 [48,43]: 0.000e+00 [48,44]: 0.000e+00 [48,45]: 0.000e+00 [48,46]: 0.000e+00 [48,47]: 0.000e+00 [48,48]: 1.000e+00 
diff --git a/data/APA300ML/mat_M-80modes-7MDoF.matrix b/data/APA300ML/mat_M-80modes-7MDoF.matrix
new file mode 100755
index 0000000..49593ae
--- /dev/null
+++ b/data/APA300ML/mat_M-80modes-7MDoF.matrix
@@ -0,0 +1,82 @@
+
+MAT_M: 
+[ 1, 1]: 1.180e-02 [ 1, 2]: 7.465e-06 [ 1, 3]:-4.626e-06 [ 1, 4]:-5.658e-08 [ 1, 5]: 3.093e-09 [ 1, 6]:-4.927e-05 [ 1, 7]:-5.480e-04 [ 1, 8]:-1.670e-07 [ 1, 9]:-2.843e-06 [ 1,10]: 9.509e-09 [ 1,11]: 1.781e-08 [ 1,12]:-1.188e-06 [ 1,13]: 9.924e-04 [ 1,14]: 1.097e-03 [ 1,15]:-9.478e-07 [ 1,16]: 1.574e-08 [ 1,17]: 3.817e-09 [ 1,18]: 1.140e-05 [ 1,19]: 1.553e-05 [ 1,20]: 9.580e-06 [ 1,21]: 7.592e-08 [ 1,22]: 1.140e-10 [ 1,23]: 4.081e-10 [ 1,24]:-3.650e-08 [ 1,25]:-6.292e-07 [ 1,26]:-5.334e-07 [ 1,27]:-5.921e-09 [ 1,28]: 5.234e-14 [ 1,29]: 1.962e-11 [ 1,30]: 1.644e-09 [ 1,31]: 1.531e-05 [ 1,32]:-9.947e-06 [ 1,33]: 2.021e-07 [ 1,34]: 2.527e-10 [ 1,35]:-9.290e-10 [ 1,36]:-4.225e-08 [ 1,37]: 1.040e-03 [ 1,38]:-1.068e-03 [ 1,39]: 4.628e-06 [ 1,40]:-1.290e-07 [ 1,41]: 1.994e-07 [ 1,42]: 1.173e-05 [ 1,43]: 4.076e-02 [ 1,44]:-3.380e-02 [ 1,45]:-7.819e-04 [ 1,46]:-8.400e-04 [ 1,47]: 5.384e-05 [ 1,48]: 4.505e-05 [ 1,49]: 5.789e-05 [ 1,50]: 6.185e-05 [ 1,51]:-9.464e-03 [ 1,52]: 1.024e-02 [ 1,53]: 2.470e-04 [ 1,54]:-2.453e-04 [ 1,55]:-2.386e-05 [ 1,56]:-8.768e-06 [ 1,57]: 2.741e-05 [ 1,58]:-1.955e-05 [ 1,59]:-8.511e-06 [ 1,60]:-1.944e-05 [ 1,61]:-6.402e-05 [ 1,62]: 6.947e-05 [ 1,63]: 7.236e-05 [ 1,64]:-8.658e-05 [ 1,65]:-2.020e-05 [ 1,66]:-8.920e-05 [ 1,67]: 8.867e-05 [ 1,68]: 1.009e-04 [ 1,69]:-1.517e-02 [ 1,70]: 1.351e-02 [ 1,71]:-6.865e-04 [ 1,72]:-2.953e-06 [ 1,73]:-5.819e-04 [ 1,74]:-9.125e-06 [ 1,75]: 9.153e-04 [ 1,76]: 7.387e-06 [ 1,77]: 2.238e-05 [ 1,78]:-5.959e-05 [ 1,79]: 6.811e-05 [ 1,80]:-7.071e-05 
+[ 2, 1]: 7.465e-06 [ 2, 2]: 8.757e-03 [ 2, 3]: 3.637e-07 [ 2, 4]: 5.789e-09 [ 2, 5]:-3.660e-09 [ 2, 6]:-2.546e-08 [ 2, 7]:-2.462e-07 [ 2, 8]: 5.964e-05 [ 2, 9]: 4.978e-07 [ 2,10]:-1.421e-09 [ 2,11]:-2.102e-09 [ 2,12]:-4.986e-09 [ 2,13]:-1.735e-03 [ 2,14]: 1.024e-03 [ 2,15]: 3.087e-07 [ 2,16]:-4.951e-09 [ 2,17]:-2.792e-09 [ 2,18]:-9.332e-06 [ 2,19]:-1.216e-05 [ 2,20]:-8.238e-06 [ 2,21]:-1.948e-08 [ 2,22]:-9.062e-11 [ 2,23]:-4.892e-11 [ 2,24]: 3.356e-08 [ 2,25]: 3.251e-07 [ 2,26]: 6.199e-07 [ 2,27]: 9.260e-10 [ 2,28]: 9.527e-13 [ 2,29]:-3.175e-12 [ 2,30]:-5.160e-10 [ 2,31]: 1.171e-05 [ 2,32]:-7.833e-06 [ 2,33]:-2.243e-08 [ 2,34]: 7.415e-11 [ 2,35]: 1.062e-10 [ 2,36]:-3.504e-08 [ 2,37]: 1.726e-03 [ 2,38]: 1.025e-03 [ 2,39]:-1.727e-06 [ 2,40]:-1.455e-08 [ 2,41]:-4.641e-08 [ 2,42]: 9.239e-06 [ 2,43]: 9.080e-04 [ 2,44]:-7.131e-04 [ 2,45]: 2.739e-02 [ 2,46]: 3.193e-02 [ 2,47]: 9.109e-05 [ 2,48]: 9.157e-05 [ 2,49]: 9.984e-05 [ 2,50]: 1.259e-04 [ 2,51]: 1.197e-03 [ 2,52]:-1.129e-03 [ 2,53]: 3.499e-02 [ 2,54]:-3.330e-02 [ 2,55]: 2.057e-04 [ 2,56]: 1.745e-04 [ 2,57]:-1.568e-04 [ 2,58]: 1.587e-04 [ 2,59]: 1.635e-02 [ 2,60]: 1.526e-02 [ 2,61]: 6.061e-05 [ 2,62]: 3.943e-05 [ 2,63]:-2.380e-04 [ 2,64]: 2.900e-04 [ 2,65]: 6.055e-05 [ 2,66]:-3.255e-02 [ 2,67]: 3.019e-02 [ 2,68]: 1.641e-05 [ 2,69]: 1.444e-04 [ 2,70]:-1.326e-04 [ 2,71]: 1.229e-04 [ 2,72]: 6.024e-07 [ 2,73]: 1.151e-04 [ 2,74]: 2.898e-06 [ 2,75]: 1.427e-04 [ 2,76]: 1.276e-06 [ 2,77]:-3.071e-05 [ 2,78]: 1.935e-05 [ 2,79]:-1.293e-06 [ 2,80]: 1.993e-03 
+[ 3, 1]:-4.626e-06 [ 3, 2]: 3.637e-07 [ 3, 3]: 9.913e-03 [ 3, 4]: 1.687e-05 [ 3, 5]: 1.739e-08 [ 3, 6]: 3.306e-08 [ 3, 7]:-1.550e-06 [ 3, 8]:-1.174e-07 [ 3, 9]:-2.135e-04 [ 3,10]: 8.639e-07 [ 3,11]:-2.176e-09 [ 3,12]:-7.706e-09 [ 3,13]:-2.401e-07 [ 3,14]:-2.925e-07 [ 3,15]: 9.281e-04 [ 3,16]:-9.070e-06 [ 3,17]:-3.116e-06 [ 3,18]:-7.750e-10 [ 3,19]: 5.971e-08 [ 3,20]: 2.174e-08 [ 3,21]: 6.826e-06 [ 3,22]: 8.060e-09 [ 3,23]: 2.844e-08 [ 3,24]:-5.529e-11 [ 3,25]:-2.645e-09 [ 3,26]:-3.802e-10 [ 3,27]:-4.289e-07 [ 3,28]:-8.716e-10 [ 3,29]: 1.385e-09 [ 3,30]: 5.789e-12 [ 3,31]: 8.496e-08 [ 3,32]:-1.043e-07 [ 3,33]: 6.545e-06 [ 3,34]: 6.815e-09 [ 3,35]:-3.097e-08 [ 3,36]:-3.748e-10 [ 3,37]: 3.091e-06 [ 3,38]: 3.870e-06 [ 3,39]: 9.259e-04 [ 3,40]:-9.074e-06 [ 3,41]: 3.147e-06 [ 3,42]: 1.110e-08 [ 3,43]:-2.975e-05 [ 3,44]: 3.628e-05 [ 3,45]: 1.503e-05 [ 3,46]: 3.376e-05 [ 3,47]:-4.092e-05 [ 3,48]:-5.492e-05 [ 3,49]: 2.049e-03 [ 3,50]: 1.255e-03 [ 3,51]: 2.577e-05 [ 3,52]:-2.787e-05 [ 3,53]:-3.187e-05 [ 3,54]: 4.080e-05 [ 3,55]:-1.003e-03 [ 3,56]: 3.688e-03 [ 3,57]:-3.064e-05 [ 3,58]: 1.741e-05 [ 3,59]: 3.183e-05 [ 3,60]: 1.726e-05 [ 3,61]: 3.576e-06 [ 3,62]:-8.340e-06 [ 3,63]:-1.889e-02 [ 3,64]: 1.559e-02 [ 3,65]:-5.606e-04 [ 3,66]: 1.808e-04 [ 3,67]:-1.329e-04 [ 3,68]: 2.277e-05 [ 3,69]:-1.466e-04 [ 3,70]: 1.165e-04 [ 3,71]:-2.111e-05 [ 3,72]: 2.034e-04 [ 3,73]:-2.955e-05 [ 3,74]: 1.304e-04 [ 3,75]:-1.538e-05 [ 3,76]: 3.000e-04 [ 3,77]:-3.674e-02 [ 3,78]: 9.443e-05 [ 3,79]: 6.442e-05 [ 3,80]:-4.364e-05 
+[ 4, 1]:-5.658e-08 [ 4, 2]: 5.789e-09 [ 4, 3]: 1.687e-05 [ 4, 4]: 2.588e-07 [ 4, 5]: 9.537e-11 [ 4, 6]: 3.126e-10 [ 4, 7]:-7.086e-09 [ 4, 8]: 2.139e-10 [ 4, 9]:-8.660e-07 [ 4,10]: 2.749e-09 [ 4,11]: 9.257e-12 [ 4,12]:-2.787e-11 [ 4,13]:-5.080e-09 [ 4,14]: 1.248e-10 [ 4,15]: 7.393e-06 [ 4,16]:-2.556e-08 [ 4,17]: 1.190e-08 [ 4,18]:-3.468e-11 [ 4,19]: 1.191e-11 [ 4,20]:-2.558e-11 [ 4,21]: 7.938e-09 [ 4,22]: 2.526e-11 [ 4,23]: 8.855e-12 [ 4,24]: 2.419e-13 [ 4,25]:-4.372e-12 [ 4,26]: 6.727e-12 [ 4,27]:-4.234e-10 [ 4,28]:-3.172e-12 [ 4,29]: 1.719e-12 [ 4,30]: 1.221e-14 [ 4,31]: 5.972e-10 [ 4,32]:-4.410e-10 [ 4,33]: 8.035e-09 [ 4,34]: 2.163e-11 [ 4,35]:-1.317e-11 [ 4,36]:-1.627e-12 [ 4,37]: 5.441e-08 [ 4,38]: 2.878e-08 [ 4,39]: 7.393e-06 [ 4,40]:-2.568e-08 [ 4,41]:-1.152e-08 [ 4,42]: 3.812e-10 [ 4,43]:-5.369e-07 [ 4,44]: 4.744e-07 [ 4,45]: 5.561e-07 [ 4,46]: 6.971e-07 [ 4,47]: 6.631e-06 [ 4,48]: 8.213e-06 [ 4,49]:-1.649e-04 [ 4,50]:-2.292e-04 [ 4,51]:-5.728e-07 [ 4,52]: 5.094e-07 [ 4,53]: 1.079e-06 [ 4,54]:-9.393e-07 [ 4,55]:-2.209e-04 [ 4,56]:-2.067e-04 [ 4,57]: 6.605e-06 [ 4,58]:-5.773e-06 [ 4,59]: 5.684e-07 [ 4,60]: 5.140e-07 [ 4,61]: 6.705e-09 [ 4,62]:-3.778e-08 [ 4,63]:-1.692e-04 [ 4,64]: 1.753e-04 [ 4,65]:-4.799e-06 [ 4,66]: 1.387e-06 [ 4,67]:-1.142e-06 [ 4,68]:-6.136e-07 [ 4,69]:-5.394e-07 [ 4,70]: 4.792e-07 [ 4,71]:-4.660e-09 [ 4,72]: 4.003e-07 [ 4,73]:-8.352e-09 [ 4,74]: 2.607e-07 [ 4,75]: 4.153e-09 [ 4,76]: 5.911e-07 [ 4,77]:-1.124e-05 [ 4,78]:-3.648e-07 [ 4,79]: 4.093e-07 [ 4,80]:-3.702e-07 
+[ 5, 1]: 3.093e-09 [ 5, 2]:-3.660e-09 [ 5, 3]: 1.739e-08 [ 5, 4]: 9.537e-11 [ 5, 5]: 9.747e-08 [ 5, 6]:-2.799e-12 [ 5, 7]: 6.145e-09 [ 5, 8]:-2.084e-10 [ 5, 9]:-2.525e-09 [ 5,10]: 8.527e-12 [ 5,11]:-7.393e-09 [ 5,12]: 3.641e-11 [ 5,13]: 2.243e-09 [ 5,14]:-1.912e-09 [ 5,15]: 7.923e-06 [ 5,16]:-7.133e-08 [ 5,17]:-2.545e-09 [ 5,18]: 8.993e-12 [ 5,19]: 1.330e-10 [ 5,20]:-1.904e-10 [ 5,21]: 1.275e-08 [ 5,22]: 7.505e-11 [ 5,23]: 3.539e-11 [ 5,24]: 1.168e-12 [ 5,25]:-7.262e-13 [ 5,26]: 1.225e-11 [ 5,27]:-5.079e-10 [ 5,28]:-4.953e-12 [ 5,29]: 1.461e-12 [ 5,30]:-6.349e-14 [ 5,31]:-4.955e-10 [ 5,32]: 7.119e-10 [ 5,33]:-1.246e-08 [ 5,34]:-6.755e-11 [ 5,35]: 4.005e-11 [ 5,36]: 2.651e-12 [ 5,37]:-6.809e-09 [ 5,38]:-5.893e-09 [ 5,39]:-7.912e-06 [ 5,40]: 7.137e-08 [ 5,41]:-2.723e-09 [ 5,42]: 6.182e-12 [ 5,43]:-6.362e-08 [ 5,44]:-1.956e-08 [ 5,45]: 7.551e-09 [ 5,46]:-4.178e-08 [ 5,47]:-2.204e-05 [ 5,48]:-6.571e-06 [ 5,49]:-4.702e-07 [ 5,50]:-6.533e-07 [ 5,51]:-5.975e-08 [ 5,52]: 9.275e-08 [ 5,53]: 5.977e-08 [ 5,54]:-8.984e-08 [ 5,55]: 1.570e-07 [ 5,56]: 4.707e-07 [ 5,57]: 4.150e-06 [ 5,58]:-2.682e-05 [ 5,59]:-5.182e-08 [ 5,60]: 4.976e-08 [ 5,61]:-2.278e-07 [ 5,62]: 4.509e-08 [ 5,63]:-1.285e-05 [ 5,64]:-6.050e-06 [ 5,65]: 2.044e-04 [ 5,66]: 4.370e-07 [ 5,67]:-5.589e-08 [ 5,68]: 1.866e-04 [ 5,69]: 3.168e-07 [ 5,70]:-3.900e-07 [ 5,71]:-2.504e-08 [ 5,72]: 9.104e-08 [ 5,73]:-2.276e-08 [ 5,74]: 3.229e-08 [ 5,75]: 1.480e-08 [ 5,76]:-3.847e-09 [ 5,77]: 2.412e-07 [ 5,78]: 8.699e-06 [ 5,79]: 2.406e-05 [ 5,80]:-2.498e-07 
+[ 6, 1]:-4.927e-05 [ 6, 2]:-2.546e-08 [ 6, 3]: 3.306e-08 [ 6, 4]: 3.126e-10 [ 6, 5]:-2.799e-12 [ 6, 6]: 5.798e-07 [ 6, 7]: 1.184e-06 [ 6, 8]:-3.281e-09 [ 6, 9]: 1.984e-08 [ 6,10]:-6.615e-11 [ 6,11]:-1.077e-10 [ 6,12]: 2.472e-09 [ 6,13]: 5.885e-06 [ 6,14]:-1.518e-05 [ 6,15]: 3.903e-09 [ 6,16]:-4.411e-11 [ 6,17]:-1.265e-11 [ 6,18]:-1.547e-09 [ 6,19]: 1.226e-08 [ 6,20]: 3.286e-08 [ 6,21]:-1.913e-10 [ 6,22]: 3.085e-13 [ 6,23]:-1.641e-12 [ 6,24]:-1.489e-10 [ 6,25]:-4.805e-10 [ 6,26]:-2.310e-09 [ 6,27]: 2.125e-11 [ 6,28]:-1.958e-14 [ 6,29]:-7.342e-14 [ 6,30]: 3.863e-12 [ 6,31]: 9.808e-09 [ 6,32]:-2.701e-08 [ 6,33]:-1.295e-09 [ 6,34]:-4.890e-13 [ 6,35]: 5.920e-12 [ 6,36]:-1.351e-10 [ 6,37]: 5.536e-06 [ 6,38]: 1.506e-05 [ 6,39]:-4.729e-08 [ 6,40]: 4.289e-10 [ 6,41]:-1.603e-09 [ 6,42]:-4.217e-09 [ 6,43]:-5.148e-04 [ 6,44]: 4.266e-04 [ 6,45]: 1.194e-05 [ 6,46]: 1.361e-05 [ 6,47]: 7.195e-07 [ 6,48]: 7.695e-07 [ 6,49]: 5.066e-07 [ 6,50]: 6.672e-07 [ 6,51]:-1.706e-04 [ 6,52]: 1.600e-04 [ 6,53]: 5.866e-06 [ 6,54]:-5.455e-06 [ 6,55]: 6.498e-07 [ 6,56]: 5.010e-07 [ 6,57]:-8.582e-07 [ 6,58]: 8.491e-07 [ 6,59]:-2.229e-07 [ 6,60]:-1.830e-07 [ 6,61]:-2.869e-06 [ 6,62]:-2.880e-06 [ 6,63]:-6.429e-07 [ 6,64]: 7.242e-07 [ 6,65]: 1.022e-07 [ 6,66]: 8.232e-07 [ 6,67]:-7.319e-07 [ 6,68]:-6.390e-07 [ 6,69]: 1.437e-04 [ 6,70]:-1.321e-04 [ 6,71]: 2.587e-06 [ 6,72]: 2.669e-08 [ 6,73]: 1.930e-06 [ 6,74]: 4.113e-08 [ 6,75]:-3.117e-06 [ 6,76]:-1.945e-08 [ 6,77]:-5.002e-07 [ 6,78]: 8.707e-07 [ 6,79]:-7.295e-07 [ 6,80]: 7.989e-07 
+[ 7, 1]:-5.480e-04 [ 7, 2]:-2.462e-07 [ 7, 3]:-1.550e-06 [ 7, 4]:-7.086e-09 [ 7, 5]: 6.145e-09 [ 7, 6]: 1.184e-06 [ 7, 7]: 1.178e-02 [ 7, 8]:-7.599e-06 [ 7, 9]:-1.986e-06 [ 7,10]: 9.315e-09 [ 7,11]:-8.418e-09 [ 7,12]: 4.915e-05 [ 7,13]: 9.947e-04 [ 7,14]:-1.094e-03 [ 7,15]: 3.086e-07 [ 7,16]: 7.615e-09 [ 7,17]:-5.888e-09 [ 7,18]:-1.141e-05 [ 7,19]: 1.548e-05 [ 7,20]:-9.562e-06 [ 7,21]:-2.439e-08 [ 7,22]:-2.837e-10 [ 7,23]:-1.133e-10 [ 7,24]: 3.643e-08 [ 7,25]:-6.250e-07 [ 7,26]: 5.320e-07 [ 7,27]: 1.006e-09 [ 7,28]: 1.001e-11 [ 7,29]:-2.114e-12 [ 7,30]:-1.642e-09 [ 7,31]: 1.490e-05 [ 7,32]: 9.935e-06 [ 7,33]: 6.565e-08 [ 7,34]:-7.031e-10 [ 7,35]: 6.652e-11 [ 7,36]: 4.223e-08 [ 7,37]: 1.053e-03 [ 7,38]: 1.054e-03 [ 7,39]: 2.553e-06 [ 7,40]: 4.637e-08 [ 7,41]: 5.281e-08 [ 7,42]:-1.182e-05 [ 7,43]:-3.364e-02 [ 7,44]:-4.067e-02 [ 7,45]: 7.426e-04 [ 7,46]:-5.722e-04 [ 7,47]:-2.705e-06 [ 7,48]: 1.304e-05 [ 7,49]:-3.883e-05 [ 7,50]: 3.707e-05 [ 7,51]: 8.886e-03 [ 7,52]: 1.064e-02 [ 7,53]:-1.727e-04 [ 7,54]:-2.013e-04 [ 7,55]: 2.729e-05 [ 7,56]:-1.751e-05 [ 7,57]:-7.404e-06 [ 7,58]:-6.686e-06 [ 7,59]: 3.110e-05 [ 7,60]:-3.709e-05 [ 7,61]: 1.213e-04 [ 7,62]:-1.901e-06 [ 7,63]:-3.895e-06 [ 7,64]:-1.641e-05 [ 7,65]: 1.942e-05 [ 7,66]: 1.456e-04 [ 7,67]: 1.578e-04 [ 7,68]: 7.011e-06 [ 7,69]: 1.403e-02 [ 7,70]: 1.458e-02 [ 7,71]: 6.919e-04 [ 7,72]: 9.202e-07 [ 7,73]: 5.861e-04 [ 7,74]: 7.683e-06 [ 7,75]:-9.118e-04 [ 7,76]:-7.928e-06 [ 7,77]: 3.848e-05 [ 7,78]: 1.062e-05 [ 7,79]:-3.308e-06 [ 7,80]:-3.869e-07 
+[ 8, 1]:-1.670e-07 [ 8, 2]: 5.964e-05 [ 8, 3]:-1.174e-07 [ 8, 4]: 2.139e-10 [ 8, 5]:-2.084e-10 [ 8, 6]:-3.281e-09 [ 8, 7]:-7.599e-06 [ 8, 8]: 8.759e-03 [ 8, 9]: 1.456e-07 [ 8,10]: 1.595e-09 [ 8,11]:-3.389e-09 [ 8,12]:-1.391e-08 [ 8,13]: 1.734e-03 [ 8,14]: 1.024e-03 [ 8,15]: 3.819e-08 [ 8,16]:-1.556e-09 [ 8,17]: 7.558e-12 [ 8,18]:-9.326e-06 [ 8,19]: 1.212e-05 [ 8,20]:-8.190e-06 [ 8,21]:-2.902e-08 [ 8,22]:-8.604e-11 [ 8,23]:-1.085e-10 [ 8,24]: 3.333e-08 [ 8,25]:-3.234e-07 [ 8,26]: 6.165e-07 [ 8,27]: 1.454e-09 [ 8,28]: 4.602e-13 [ 8,29]:-4.284e-12 [ 8,30]:-5.085e-10 [ 8,31]:-1.178e-05 [ 8,32]:-7.878e-06 [ 8,33]: 1.342e-08 [ 8,34]: 1.096e-10 [ 8,35]:-1.361e-10 [ 8,36]:-3.540e-08 [ 8,37]:-1.723e-03 [ 8,38]: 1.026e-03 [ 8,39]:-2.324e-08 [ 8,40]:-7.167e-09 [ 8,41]: 6.950e-09 [ 8,42]: 9.224e-06 [ 8,43]: 6.904e-04 [ 8,44]: 7.883e-04 [ 8,45]: 3.228e-02 [ 8,46]:-2.704e-02 [ 8,47]:-1.409e-05 [ 8,48]: 1.494e-05 [ 8,49]: 3.493e-05 [ 8,50]:-2.538e-05 [ 8,51]: 1.102e-03 [ 8,52]: 1.138e-03 [ 8,53]: 3.334e-02 [ 8,54]: 3.493e-02 [ 8,55]: 4.419e-05 [ 8,56]:-3.300e-05 [ 8,57]: 4.308e-05 [ 8,58]: 4.786e-05 [ 8,59]: 1.645e-02 [ 8,60]:-1.525e-02 [ 8,61]: 1.395e-04 [ 8,62]:-1.944e-04 [ 8,63]:-7.666e-05 [ 8,64]:-4.866e-05 [ 8,65]: 5.478e-05 [ 8,66]:-3.020e-02 [ 8,67]:-3.252e-02 [ 8,68]: 2.843e-06 [ 8,69]: 2.606e-04 [ 8,70]: 2.720e-04 [ 8,71]: 1.257e-04 [ 8,72]: 4.666e-07 [ 8,73]: 1.171e-04 [ 8,74]: 2.827e-06 [ 8,75]: 1.408e-04 [ 8,76]: 1.232e-06 [ 8,77]:-2.222e-05 [ 8,78]: 2.719e-05 [ 8,79]: 3.581e-05 [ 8,80]: 2.154e-03 
+[ 9, 1]:-2.843e-06 [ 9, 2]: 4.978e-07 [ 9, 3]:-2.135e-04 [ 9, 4]:-8.660e-07 [ 9, 5]:-2.525e-09 [ 9, 6]: 1.984e-08 [ 9, 7]:-1.986e-06 [ 9, 8]: 1.456e-07 [ 9, 9]: 9.913e-03 [ 9,10]:-1.688e-05 [ 9,11]: 1.788e-08 [ 9,12]:-1.249e-08 [ 9,13]:-3.575e-08 [ 9,14]: 6.383e-07 [ 9,15]: 9.282e-04 [ 9,16]: 9.072e-06 [ 9,17]:-3.115e-06 [ 9,18]:-3.506e-09 [ 9,19]: 6.123e-08 [ 9,20]: 7.949e-08 [ 9,21]: 6.830e-06 [ 9,22]:-8.005e-09 [ 9,23]: 2.843e-08 [ 9,24]:-3.620e-10 [ 9,25]:-2.165e-09 [ 9,26]:-6.361e-09 [ 9,27]:-4.288e-07 [ 9,28]: 8.719e-10 [ 9,29]: 1.384e-09 [ 9,30]: 7.515e-12 [ 9,31]: 1.650e-08 [ 9,32]: 5.352e-08 [ 9,33]: 6.528e-06 [ 9,34]:-6.957e-09 [ 9,35]:-3.097e-08 [ 9,36]: 2.081e-10 [ 9,37]: 2.268e-06 [ 9,38]: 8.955e-07 [ 9,39]: 9.257e-04 [ 9,40]: 9.058e-06 [ 9,41]: 3.149e-06 [ 9,42]: 1.015e-08 [ 9,43]:-1.160e-05 [ 9,44]: 3.325e-05 [ 9,45]: 2.108e-05 [ 9,46]: 2.431e-05 [ 9,47]: 2.326e-05 [ 9,48]: 4.971e-05 [ 9,49]:-2.296e-03 [ 9,50]: 6.232e-04 [ 9,51]: 1.170e-05 [ 9,52]:-1.579e-05 [ 9,53]:-1.733e-05 [ 9,54]: 2.396e-05 [ 9,55]: 9.670e-04 [ 9,56]: 3.703e-03 [ 9,57]:-8.393e-05 [ 9,58]: 5.645e-05 [ 9,59]:-1.398e-05 [ 9,60]:-9.573e-06 [ 9,61]:-8.731e-06 [ 9,62]:-3.692e-06 [ 9,63]: 1.936e-02 [ 9,64]: 1.492e-02 [ 9,65]: 1.597e-03 [ 9,66]:-5.772e-05 [ 9,67]:-2.976e-05 [ 9,68]: 6.563e-05 [ 9,69]: 4.301e-05 [ 9,70]:-9.023e-05 [ 9,71]: 1.712e-05 [ 9,72]: 2.139e-04 [ 9,73]: 2.244e-05 [ 9,74]: 1.455e-04 [ 9,75]: 1.671e-05 [ 9,76]: 2.996e-04 [ 9,77]: 3.671e-02 [ 9,78]:-2.795e-04 [ 9,79]: 3.079e-04 [ 9,80]:-2.559e-04 
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+[76, 1]: 7.387e-06 [76, 2]: 1.276e-06 [76, 3]: 3.000e-04 [76, 4]: 5.911e-07 [76, 5]:-3.847e-09 [76, 6]:-1.945e-08 [76, 7]:-7.928e-06 [76, 8]: 1.232e-06 [76, 9]: 2.996e-04 [76,10]:-5.902e-07 [76,11]:-1.608e-09 [76,12]:-2.412e-08 [76,13]:-9.085e-07 [76,14]: 2.879e-04 [76,15]: 5.184e-02 [76,16]:-5.681e-09 [76,17]:-2.426e-04 [76,18]: 1.358e-06 [76,19]: 4.287e-06 [76,20]: 3.161e-04 [76,21]: 5.637e-02 [76,22]:-4.243e-09 [76,23]: 2.104e-04 [76,24]:-1.231e-06 [76,25]:-5.965e-07 [76,26]:-1.395e-05 [76,27]: 5.618e-03 [76,28]: 3.456e-11 [76,29]:-2.369e-05 [76,30]: 6.958e-08 [76,31]: 6.106e-07 [76,32]: 2.205e-05 [76,33]: 1.428e-02 [76,34]: 4.848e-09 [76,35]: 9.543e-06 [76,36]: 2.449e-08 [76,37]:-6.590e-07 [76,38]: 1.353e-05 [76,39]: 5.954e-03 [76,40]: 4.788e-09 [76,41]: 2.717e-05 [76,42]:-4.501e-08 [76,43]: 0.000e+00 [76,44]: 0.000e+00 [76,45]: 0.000e+00 [76,46]: 0.000e+00 [76,47]: 0.000e+00 [76,48]: 0.000e+00 [76,49]: 0.000e+00 [76,50]: 0.000e+00 [76,51]: 0.000e+00 [76,52]: 0.000e+00 [76,53]: 0.000e+00 [76,54]: 0.000e+00 [76,55]: 0.000e+00 [76,56]: 0.000e+00 [76,57]: 0.000e+00 [76,58]: 0.000e+00 [76,59]: 0.000e+00 [76,60]: 0.000e+00 [76,61]: 0.000e+00 [76,62]: 0.000e+00 [76,63]: 0.000e+00 [76,64]: 0.000e+00 [76,65]: 0.000e+00 [76,66]: 0.000e+00 [76,67]: 0.000e+00 [76,68]: 0.000e+00 [76,69]: 0.000e+00 [76,70]: 0.000e+00 [76,71]: 0.000e+00 [76,72]: 0.000e+00 [76,73]: 0.000e+00 [76,74]: 0.000e+00 [76,75]: 0.000e+00 [76,76]: 1.000e+00 [76,77]: 0.000e+00 [76,78]: 0.000e+00 [76,79]: 0.000e+00 [76,80]: 0.000e+00 
+[77, 1]: 2.238e-05 [77, 2]:-3.071e-05 [77, 3]:-3.674e-02 [77, 4]:-1.124e-05 [77, 5]: 2.412e-07 [77, 6]:-5.002e-07 [77, 7]: 3.848e-05 [77, 8]:-2.222e-05 [77, 9]: 3.671e-02 [77,10]:-1.126e-05 [77,11]:-6.709e-07 [77,12]: 2.882e-08 [77,13]: 3.013e-05 [77,14]: 3.400e-05 [77,15]:-8.292e-05 [77,16]: 3.651e-04 [77,17]: 5.642e-09 [77,18]:-5.704e-08 [77,19]: 4.604e-07 [77,20]:-2.900e-05 [77,21]: 3.041e-06 [77,22]:-2.508e-06 [77,23]: 1.055e-08 [77,24]: 1.121e-07 [77,25]:-2.916e-09 [77,26]:-5.702e-06 [77,27]:-2.448e-06 [77,28]: 1.594e-07 [77,29]: 8.654e-09 [77,30]:-3.244e-08 [77,31]:-8.165e-07 [77,32]:-5.242e-05 [77,33]:-1.657e-05 [77,34]:-2.382e-06 [77,35]: 4.989e-08 [77,36]:-1.611e-07 [77,37]: 4.721e-06 [77,38]:-1.111e-04 [77,39]: 1.178e-05 [77,40]: 3.659e-04 [77,41]: 2.839e-07 [77,42]: 1.226e-07 [77,43]: 0.000e+00 [77,44]: 0.000e+00 [77,45]: 0.000e+00 [77,46]: 0.000e+00 [77,47]: 0.000e+00 [77,48]: 0.000e+00 [77,49]: 0.000e+00 [77,50]: 0.000e+00 [77,51]: 0.000e+00 [77,52]: 0.000e+00 [77,53]: 0.000e+00 [77,54]: 0.000e+00 [77,55]: 0.000e+00 [77,56]: 0.000e+00 [77,57]: 0.000e+00 [77,58]: 0.000e+00 [77,59]: 0.000e+00 [77,60]: 0.000e+00 [77,61]: 0.000e+00 [77,62]: 0.000e+00 [77,63]: 0.000e+00 [77,64]: 0.000e+00 [77,65]: 0.000e+00 [77,66]: 0.000e+00 [77,67]: 0.000e+00 [77,68]: 0.000e+00 [77,69]: 0.000e+00 [77,70]: 0.000e+00 [77,71]: 0.000e+00 [77,72]: 0.000e+00 [77,73]: 0.000e+00 [77,74]: 0.000e+00 [77,75]: 0.000e+00 [77,76]: 0.000e+00 [77,77]: 1.000e+00 [77,78]: 0.000e+00 [77,79]: 0.000e+00 [77,80]: 0.000e+00 
+[78, 1]:-5.959e-05 [78, 2]: 1.935e-05 [78, 3]: 9.443e-05 [78, 4]:-3.648e-07 [78, 5]: 8.699e-06 [78, 6]: 8.707e-07 [78, 7]: 1.062e-05 [78, 8]: 2.719e-05 [78, 9]:-2.795e-04 [78,10]: 1.114e-07 [78,11]:-8.048e-06 [78,12]: 2.056e-07 [78,13]:-6.622e-05 [78,14]:-1.394e-04 [78,15]:-9.473e-07 [78,16]: 1.428e-04 [78,17]:-3.431e-07 [78,18]:-2.984e-07 [78,19]:-5.265e-07 [78,20]:-1.170e-05 [78,21]:-2.417e-06 [78,22]:-1.709e-06 [78,23]:-8.680e-09 [78,24]: 4.312e-08 [78,25]: 1.372e-08 [78,26]: 1.514e-06 [78,27]: 6.083e-07 [78,28]:-5.830e-08 [78,29]:-2.013e-09 [78,30]: 1.247e-09 [78,31]: 8.046e-09 [78,32]: 8.130e-06 [78,33]: 6.073e-06 [78,34]: 1.692e-06 [78,35]:-2.182e-08 [78,36]: 2.891e-08 [78,37]: 2.122e-05 [78,38]: 1.105e-05 [78,39]:-2.048e-04 [78,40]:-1.466e-04 [78,41]:-2.902e-07 [78,42]:-3.041e-07 [78,43]: 0.000e+00 [78,44]: 0.000e+00 [78,45]: 0.000e+00 [78,46]: 0.000e+00 [78,47]: 0.000e+00 [78,48]: 0.000e+00 [78,49]: 0.000e+00 [78,50]: 0.000e+00 [78,51]: 0.000e+00 [78,52]: 0.000e+00 [78,53]: 0.000e+00 [78,54]: 0.000e+00 [78,55]: 0.000e+00 [78,56]: 0.000e+00 [78,57]: 0.000e+00 [78,58]: 0.000e+00 [78,59]: 0.000e+00 [78,60]: 0.000e+00 [78,61]: 0.000e+00 [78,62]: 0.000e+00 [78,63]: 0.000e+00 [78,64]: 0.000e+00 [78,65]: 0.000e+00 [78,66]: 0.000e+00 [78,67]: 0.000e+00 [78,68]: 0.000e+00 [78,69]: 0.000e+00 [78,70]: 0.000e+00 [78,71]: 0.000e+00 [78,72]: 0.000e+00 [78,73]: 0.000e+00 [78,74]: 0.000e+00 [78,75]: 0.000e+00 [78,76]: 0.000e+00 [78,77]: 0.000e+00 [78,78]: 1.000e+00 [78,79]: 0.000e+00 [78,80]: 0.000e+00 
+[79, 1]: 6.811e-05 [79, 2]:-1.293e-06 [79, 3]: 6.442e-05 [79, 4]: 4.093e-07 [79, 5]: 2.406e-05 [79, 6]:-7.295e-07 [79, 7]:-3.308e-06 [79, 8]: 3.581e-05 [79, 9]: 3.079e-04 [79,10]:-1.894e-07 [79,11]: 2.422e-05 [79,12]: 1.543e-07 [79,13]: 5.967e-05 [79,14]: 2.368e-04 [79,15]: 8.837e-03 [79,16]:-1.789e-07 [79,17]:-2.317e-05 [79,18]: 2.956e-07 [79,19]: 9.451e-07 [79,20]: 5.466e-06 [79,21]:-1.918e-04 [79,22]: 4.643e-09 [79,23]:-6.918e-07 [79,24]:-2.092e-08 [79,25]:-1.861e-08 [79,26]:-1.187e-07 [79,27]: 2.182e-05 [79,28]: 3.429e-09 [79,29]:-6.738e-08 [79,30]: 1.608e-09 [79,31]:-4.885e-07 [79,32]: 3.930e-06 [79,33]: 1.780e-04 [79,34]:-4.260e-08 [79,35]:-6.472e-07 [79,36]: 1.429e-08 [79,37]:-1.336e-05 [79,38]: 1.771e-04 [79,39]:-8.414e-03 [79,40]: 2.948e-06 [79,41]:-2.357e-05 [79,42]: 8.136e-08 [79,43]: 0.000e+00 [79,44]: 0.000e+00 [79,45]: 0.000e+00 [79,46]: 0.000e+00 [79,47]: 0.000e+00 [79,48]: 0.000e+00 [79,49]: 0.000e+00 [79,50]: 0.000e+00 [79,51]: 0.000e+00 [79,52]: 0.000e+00 [79,53]: 0.000e+00 [79,54]: 0.000e+00 [79,55]: 0.000e+00 [79,56]: 0.000e+00 [79,57]: 0.000e+00 [79,58]: 0.000e+00 [79,59]: 0.000e+00 [79,60]: 0.000e+00 [79,61]: 0.000e+00 [79,62]: 0.000e+00 [79,63]: 0.000e+00 [79,64]: 0.000e+00 [79,65]: 0.000e+00 [79,66]: 0.000e+00 [79,67]: 0.000e+00 [79,68]: 0.000e+00 [79,69]: 0.000e+00 [79,70]: 0.000e+00 [79,71]: 0.000e+00 [79,72]: 0.000e+00 [79,73]: 0.000e+00 [79,74]: 0.000e+00 [79,75]: 0.000e+00 [79,76]: 0.000e+00 [79,77]: 0.000e+00 [79,78]: 0.000e+00 [79,79]: 1.000e+00 [79,80]: 0.000e+00 
+[80, 1]:-7.071e-05 [80, 2]: 1.993e-03 [80, 3]:-4.364e-05 [80, 4]:-3.702e-07 [80, 5]:-2.498e-07 [80, 6]: 7.989e-07 [80, 7]:-3.869e-07 [80, 8]: 2.154e-03 [80, 9]:-2.559e-04 [80,10]: 1.422e-07 [80,11]:-2.810e-07 [80,12]: 5.768e-07 [80,13]:-1.988e-04 [80,14]: 1.565e-02 [80,15]:-2.732e-04 [80,16]:-4.045e-07 [80,17]: 3.057e-07 [80,18]: 1.354e-05 [80,19]:-1.164e-06 [80,20]: 3.619e-04 [80,21]: 1.956e-06 [80,22]: 1.683e-08 [80,23]: 7.781e-09 [80,24]:-1.386e-06 [80,25]: 5.313e-08 [80,26]:-7.528e-06 [80,27]:-1.040e-07 [80,28]: 2.441e-09 [80,29]: 2.737e-10 [80,30]: 1.070e-07 [80,31]:-1.600e-06 [80,32]: 3.303e-04 [80,33]: 1.389e-07 [80,34]:-1.207e-08 [80,35]:-6.015e-10 [80,36]: 1.222e-06 [80,37]: 1.459e-04 [80,38]: 1.572e-02 [80,39]:-5.969e-05 [80,40]:-1.342e-06 [80,41]: 1.818e-07 [80,42]:-1.440e-05 [80,43]: 0.000e+00 [80,44]: 0.000e+00 [80,45]: 0.000e+00 [80,46]: 0.000e+00 [80,47]: 0.000e+00 [80,48]: 0.000e+00 [80,49]: 0.000e+00 [80,50]: 0.000e+00 [80,51]: 0.000e+00 [80,52]: 0.000e+00 [80,53]: 0.000e+00 [80,54]: 0.000e+00 [80,55]: 0.000e+00 [80,56]: 0.000e+00 [80,57]: 0.000e+00 [80,58]: 0.000e+00 [80,59]: 0.000e+00 [80,60]: 0.000e+00 [80,61]: 0.000e+00 [80,62]: 0.000e+00 [80,63]: 0.000e+00 [80,64]: 0.000e+00 [80,65]: 0.000e+00 [80,66]: 0.000e+00 [80,67]: 0.000e+00 [80,68]: 0.000e+00 [80,69]: 0.000e+00 [80,70]: 0.000e+00 [80,71]: 0.000e+00 [80,72]: 0.000e+00 [80,73]: 0.000e+00 [80,74]: 0.000e+00 [80,75]: 0.000e+00 [80,76]: 0.000e+00 [80,77]: 0.000e+00 [80,78]: 0.000e+00 [80,79]: 0.000e+00 [80,80]: 1.000e+00 
diff --git a/data/piezo_amplified_3d/APA300ML_test_bench.slx b/data/piezo_amplified_3d/APA300ML_test_bench.slx
new file mode 100644
index 0000000..ab1daa2
Binary files /dev/null and b/data/piezo_amplified_3d/APA300ML_test_bench.slx differ
diff --git a/data/piezo_amplified_3d/piezo_amplified_3d.slx b/data/piezo_amplified_3d/piezo_amplified_3d.slx
index 8256dbc..cd1aa83 100644
Binary files a/data/piezo_amplified_3d/piezo_amplified_3d.slx and b/data/piezo_amplified_3d/piezo_amplified_3d.slx differ
diff --git a/index.org b/index.org
index 60a5e4e..288a709 100644
--- a/index.org
+++ b/index.org
@@ -77,6 +77,15 @@ Then, we extract the coordinates of the interface nodes.
   [int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('piezo_amplified_3d.txt');
 #+end_src
 
+#+begin_src matlab
+  save('./mat/piezo_amplified_3d.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+#+end_src
+
+** Output parameters
+#+begin_src matlab
+  load('./mat/piezo_amplified_3d.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+#+end_src
+
 #+begin_src matlab :exports results :results value table replace :tangle no
   data2orgtable([length(n_i); length(int_i); size(M,1) - 6*length(int_i); size(M,1)], {'Total number of Nodes', 'Number of interface Nodes', 'Number of Modes', 'Size of M and K matrices'}, {}, ' %.0f ');
 #+end_src
@@ -151,6 +160,49 @@ Then, we extract the coordinates of the interface nodes.
 Using =K=, =M= and =int_xyz=, we can use the =Reduced Order Flexible Solid= simscape block.
 
 
+** Piezoelectric parameters
+Parameters for the APA95ML:
+
+#+begin_src matlab
+  d33 = 3e-10; % Strain constant [m/V]
+  n = 80; % Number of layers per stack
+  eT = 1.6e-8; % Permittivity under constant stress [F/m]
+  sD = 2e-11; % Elastic compliance under constant electric displacement [m2/N]
+  ka = 235e6; % Stack stiffness [N/m]
+  C = 5e-6; % Stack capactiance [F]
+#+end_src
+
+#+begin_src matlab
+  na = 3; % Number of stacks used as actuator
+  ns = 0; % Number of stacks used as force sensor
+#+end_src
+
+The ratio of the developed force to applied voltage is $d_{33} n k_a$ in [N/V].
+We denote this constant by $g_a$ and:
+\[ F_a = g_a V_a, \quad g_a = d_{33} n k_a \]
+#+begin_src matlab :results replace value
+  d33*(na*n)*(ka/(na + ns)) % [N/V]
+#+end_src
+
+#+RESULTS:
+: 1.88
+
+From cite:fleming14_desig_model_contr_nanop_system (page 123), the relation between relative displacement and generated voltage is:
+\[ V_s = \frac{d_{33}}{\epsilon^T s^D n} \Delta h \]
+where:
+- $V_s$: measured voltage [V]
+- $d_{33}$: strain constant [m/V]
+- $\epsilon^T$: permittivity under constant stress [F/m]
+- $s^D$: elastic compliance under constant electric displacement [m^2/N]
+- $n$: number of layers
+- $\Delta h$: relative displacement [m]
+#+begin_src matlab :results replace value
+  1e-6*d33/(eT*sD*ns*n) % [V/um]
+#+end_src
+
+#+RESULTS:
+: 5.8594
+
 ** Identification of the Dynamics
 The flexible element is imported using the =Reduced Order Flexible Solid= simscape block.
 
@@ -161,7 +213,7 @@ One mass is fixed at one end of the piezo-electric stack actuator, the other end
 
 We first set the mass to be zero.
 #+begin_src matlab
-  m = 0;
+  m = 0.01;
 #+end_src
 
 The dynamics is identified from the applied force to the measured relative displacement.
@@ -174,12 +226,12 @@ The dynamics is identified from the applied force to the measured relative displ
   io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
   io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
 
-  Gh = linearize(mdl, io);
+  Gh = -linearize(mdl, io);
 #+end_src
 
 Then, we add 10Kg of mass:
 #+begin_src matlab
-  m = 10;
+  m = 5;
 #+end_src
 
 And the dynamics is identified.
@@ -194,11 +246,11 @@ The two identified dynamics are compared in Figure [[fig:dynamics_act_disp_comp_
   io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
   io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
 
-  Ghm = linearize(mdl, io);
+  Ghm = -linearize(mdl, io);
 #+end_src
 
 #+begin_src matlab :exports none
-  freqs = logspace(1, 5, 5000);
+  freqs = logspace(0, 4, 5000);
 
   figure;
 
@@ -521,6 +573,409 @@ And the dynamics is identified.
   legend('location', 'southwest');
 #+end_src
 
+** Dynamics from input voltage to displacement
+#+begin_src matlab
+  m = 5;
+#+end_src
+
+And the dynamics is identified.
+
+The two identified dynamics are compared in Figure [[fig:dynamics_act_disp_comp_mass]].
+#+begin_src matlab
+  %% Name of the Simulink File
+  mdl = 'piezo_amplified_3d';
+
+  %% Input/Output definition
+  clear io; io_i = 1;
+  io(io_i) = linio([mdl, '/V'], 1, 'openinput');  io_i = io_i + 1;
+  io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
+
+  G = -linearize(mdl, io);
+#+end_src
+
+#+begin_src matlab :exports none
+  freqs = logspace(1, 4, 5000);
+
+  figure;
+
+  ax1 = subplot(2,1,1);
+  hold on;
+  plot(freqs, abs(squeeze(freqresp(G, freqs, 'Hz'))));
+  hold off;
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
+  ylabel('Amplitude'); set(gca, 'XTickLabel',[]);
+  hold off;
+
+  ax2 = subplot(2,1,2);
+  hold on;
+  plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(G, freqs, 'Hz')))));
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
+  yticks(-360:90:360);
+  ylim([-360 0]);
+  xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
+  hold off;
+  linkaxes([ax1,ax2],'x');
+  % xlim([10, 5e3]);
+#+end_src
+
+#+begin_src matlab
+  save('../test-bench-apa/mat/fem_model_5kg.mat', 'G')
+#+end_src
+
+* APA300ML
+** Matlab Init                                             :noexport:ignore:
+#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
+  <<matlab-dir>>
+#+end_src
+
+#+begin_src matlab :exports none :results silent :noweb yes
+  <<matlab-init>>
+#+end_src
+
+#+begin_src matlab
+  addpath('./src/');
+  addpath('./data/APA300ML/');
+#+end_src
+
+#+begin_src matlab :exports none
+  open('APA300ML_test_bench');
+#+end_src
+
+** Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates
+We first extract the stiffness and mass matrices.
+#+begin_src matlab
+  K = extractMatrix('mat_K-80modes-7MDoF.matrix');
+  M = extractMatrix('mat_M-80modes-7MDoF.matrix');
+#+end_src
+
+Then, we extract the coordinates of the interface nodes.
+#+begin_src matlab
+  [int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('Nodes_MDoF_NLIST_MLIST.txt');
+#+end_src
+
+#+begin_src matlab
+  save('./mat/APA300ML.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+#+end_src
+
+** Output parameters
+#+begin_src matlab
+  load('./mat/APA300ML.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+#+end_src
+
+#+begin_src matlab :exports results :results value table replace :tangle no
+  data2orgtable([length(n_i); length(int_i); size(M,1) - 6*length(int_i); size(M,1)], {'Total number of Nodes', 'Number of interface Nodes', 'Number of Modes', 'Size of M and K matrices'}, {}, ' %.0f ');
+#+end_src
+
+#+RESULTS:
+| Total number of Nodes     |  7 |
+| Number of interface Nodes |  7 |
+| Number of Modes           | 38 |
+| Size of M and K matrices  | 80 |
+
+#+begin_src matlab :exports results :results value table replace :tangle no :post addhdr(*this*)
+  data2orgtable([[1:length(int_i)]', int_i, int_xyz], {}, {'Node i', 'Node Number', 'x [m]', 'y [m]', 'z [m]'}, ' %f ');
+#+end_src
+
+#+caption: Coordinates of the interface nodes
+#+RESULTS:
+| Node i | Node Number |   x [m] |  y [m] | z [m] |
+|--------+-------------+---------+--------+-------|
+|    1.0 |     53917.0 |     0.0 | -0.015 |   0.0 |
+|    2.0 |     53918.0 |     0.0 |  0.015 |   0.0 |
+|    3.0 |     53919.0 | -0.0325 |    0.0 |   0.0 |
+|    4.0 |     53920.0 | -0.0125 |    0.0 |   0.0 |
+|    5.0 |     53921.0 | -0.0075 |    0.0 |   0.0 |
+|    6.0 |     53922.0 |  0.0125 |    0.0 |   0.0 |
+|    7.0 |     53923.0 |  0.0325 |    0.0 |   0.0 |
+
+#+begin_src matlab :exports results :results value table replace :tangle no
+  data2orgtable(K(1:10, 1:10), {}, {}, ' %.1g ');
+#+end_src
+
+#+caption: First 10x10 elements of the Stiffness matrix
+#+RESULTS:
+| 200000000.0 |   30000.0 |    50000.0 |    200.0 |  -100.0 | -300000.0 |  10000000.0 |   -6000.0 |    20000.0 |     -60.0 |
+|     30000.0 | 7000000.0 |    10000.0 |     30.0 |   -30.0 |     -70.0 |      7000.0 | -500000.0 |     3000.0 |     -10.0 |
+|     50000.0 |   10000.0 | 30000000.0 | 200000.0 |  -200.0 |    -100.0 |     20000.0 |   -2000.0 |  2000000.0 |   -9000.0 |
+|       200.0 |      30.0 |   200000.0 |   1000.0 |    -0.8 |      -0.4 |        50.0 |        -6 |     9000.0 |     -30.0 |
+|      -100.0 |     -30.0 |     -200.0 |     -0.8 | 10000.0 |       0.2 |       -40.0 |      10.0 |       20.0 |     -0.05 |
+|   -300000.0 |     -70.0 |     -100.0 |     -0.4 |     0.2 |     900.0 |    -30000.0 |      10.0 |      -40.0 |       0.1 |
+|  10000000.0 |    7000.0 |    20000.0 |     50.0 |   -40.0 |  -30000.0 | 200000000.0 |  -50000.0 |    30000.0 |     -50.0 |
+|     -6000.0 | -500000.0 |    -2000.0 |       -6 |    10.0 |      10.0 |    -50000.0 | 7000000.0 |    -4000.0 |         8 |
+|     20000.0 |    3000.0 |  2000000.0 |   9000.0 |    20.0 |     -40.0 |     30000.0 |   -4000.0 | 30000000.0 | -200000.0 |
+|       -60.0 |     -10.0 |    -9000.0 |    -30.0 |   -0.05 |       0.1 |       -50.0 |         8 |  -200000.0 |    1000.0 |
+
+
+#+begin_src matlab :exports results :results value table replace :tangle no
+  data2orgtable(M(1:10, 1:10), {}, {}, ' %.1g ');
+#+end_src
+
+#+caption: First 10x10 elements of the Mass matrix
+#+RESULTS:
+|    0.01 |  7e-06 |  -5e-06 | -6e-08 |  3e-09 | -5e-05 | -0.0005 | -2e-07 |  -3e-06 |  1e-08 |
+|   7e-06 |  0.009 |   4e-07 |  6e-09 | -4e-09 | -3e-08 |  -2e-07 |  6e-05 |   5e-07 | -1e-09 |
+|  -5e-06 |  4e-07 |    0.01 |  2e-05 |  2e-08 |  3e-08 |  -2e-06 | -1e-07 | -0.0002 |  9e-07 |
+|  -6e-08 |  6e-09 |   2e-05 |  3e-07 |  1e-10 |  3e-10 |  -7e-09 |  2e-10 |  -9e-07 |  3e-09 |
+|   3e-09 | -4e-09 |   2e-08 |  1e-10 |  1e-07 | -3e-12 |   6e-09 | -2e-10 |  -3e-09 |  9e-12 |
+|  -5e-05 | -3e-08 |   3e-08 |  3e-10 | -3e-12 |  6e-07 |   1e-06 | -3e-09 |   2e-08 | -7e-11 |
+| -0.0005 | -2e-07 |  -2e-06 | -7e-09 |  6e-09 |  1e-06 |    0.01 | -8e-06 |  -2e-06 |  9e-09 |
+|  -2e-07 |  6e-05 |  -1e-07 |  2e-10 | -2e-10 | -3e-09 |  -8e-06 |  0.009 |   1e-07 |  2e-09 |
+|  -3e-06 |  5e-07 | -0.0002 | -9e-07 | -3e-09 |  2e-08 |  -2e-06 |  1e-07 |    0.01 | -2e-05 |
+|   1e-08 | -1e-09 |   9e-07 |  3e-09 |  9e-12 | -7e-11 |   9e-09 |  2e-09 |  -2e-05 |  3e-07 |
+
+Using =K=, =M= and =int_xyz=, we can use the =Reduced Order Flexible Solid= simscape block.
+
+** Piezoelectric parameters
+Parameters for the APA95ML:
+
+#+begin_src matlab
+  d33 = 3e-10; % Strain constant [m/V]
+  n = 80; % Number of layers per stack
+  eT = 1.6e-8; % Permittivity under constant stress [F/m]
+  sD = 2e-11; % Elastic compliance under constant electric displacement [m2/N]
+  ka = 235e6; % Stack stiffness [N/m]
+  C = 5e-6; % Stack capactiance [F]
+#+end_src
+
+#+begin_src matlab
+  na = 3; % Number of stacks used as actuator
+  ns = 0; % Number of stacks used as force sensor
+#+end_src
+
+The ratio of the developed force to applied voltage is $d_{33} n k_a$ in [N/V].
+We denote this constant by $g_a$ and:
+\[ F_a = g_a V_a, \quad g_a = d_{33} n k_a \]
+#+begin_src matlab :results replace value
+  d33*(na*n)*(ka/(na + ns)) % [N/V]
+#+end_src
+
+#+RESULTS:
+: 1.88
+
+From cite:fleming14_desig_model_contr_nanop_system (page 123), the relation between relative displacement and generated voltage is:
+\[ V_s = \frac{d_{33}}{\epsilon^T s^D n} \Delta h \]
+where:
+- $V_s$: measured voltage [V]
+- $d_{33}$: strain constant [m/V]
+- $\epsilon^T$: permittivity under constant stress [F/m]
+- $s^D$: elastic compliance under constant electric displacement [m^2/N]
+- $n$: number of layers
+- $\Delta h$: relative displacement [m]
+#+begin_src matlab :results replace value
+  1e-6*d33/(eT*sD*ns*n) % [V/um]
+#+end_src
+
+#+RESULTS:
+: 5.8594
+
+
+
+
+** Identification of the Dynamics
+The flexible element is imported using the =Reduced Order Flexible Solid= simscape block.
+
+To model the actuator, an =Internal Force= block is added between the nodes 3 and 12.
+A =Relative Motion Sensor= block is added between the nodes 1 and 2 to measure the displacement and the amplified piezo.
+
+One mass is fixed at one end of the piezo-electric stack actuator, the other end is fixed to the world frame.
+
+We first set the mass to be zero.
+#+begin_src matlab
+  m = 0.01;
+#+end_src
+
+The dynamics is identified from the applied force to the measured relative displacement.
+#+begin_src matlab
+  %% Name of the Simulink File
+  mdl = 'APA300ML_test_bench';
+
+  %% Input/Output definition
+  clear io; io_i = 1;
+  io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
+  io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
+
+  Gh = -linearize(mdl, io);
+#+end_src
+
+Then, we add 10Kg of mass:
+#+begin_src matlab
+  m = 10;
+#+end_src
+
+And the dynamics is identified.
+
+The two identified dynamics are compared in Figure [[fig:dynamics_act_disp_comp_mass]].
+#+begin_src matlab
+  %% Name of the Simulink File
+  mdl = 'APA300ML_test_bench';
+
+  %% Input/Output definition
+  clear io; io_i = 1;
+  io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
+  io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
+
+  Ghm = -linearize(mdl, io);
+#+end_src
+
+#+begin_src matlab :exports none
+  freqs = logspace(0, 4, 5000);
+
+  figure;
+
+  ax1 = subplot(2,1,1);
+  hold on;
+  plot(freqs, abs(squeeze(freqresp(Gh, freqs, 'Hz'))), '-');
+  plot(freqs, abs(squeeze(freqresp(Ghm, freqs, 'Hz'))), '-');
+  hold off;
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
+  ylabel('Amplitude'); set(gca, 'XTickLabel',[]);
+  hold off;
+
+  ax2 = subplot(2,1,2);
+  hold on;
+  plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gh, freqs, 'Hz')))), '-', ...
+       'DisplayName', '$m = 0kg$');
+  plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Ghm, freqs, 'Hz')))), '-', ...
+       'DisplayName', '$m = 10kg$');
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
+  yticks(-360:90:360);
+  ylim([-360 0]);
+  xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
+  hold off;
+  linkaxes([ax1,ax2],'x');
+  xlim([freqs(1), freqs(end)]);
+  legend('location', 'southwest');
+#+end_src
+
+** IFF
+Then, we add 10Kg of mass:
+#+begin_src matlab
+  m = 10;
+#+end_src
+
+And the dynamics is identified.
+
+The two identified dynamics are compared in Figure [[fig:dynamics_act_disp_comp_mass]].
+#+begin_src matlab
+  %% Name of the Simulink File
+  mdl = 'APA300ML_test_bench';
+
+  %% Input/Output definition
+  clear io; io_i = 1;
+  io(io_i) = linio([mdl, '/Va'], 1, 'openinput');  io_i = io_i + 1;
+  io(io_i) = linio([mdl, '/Vs'], 1, 'openoutput'); io_i = io_i + 1;
+
+  G = -linearize(mdl, io);
+#+end_src
+
+#+begin_src matlab :exports none
+  freqs = logspace(0, 4, 5000);
+
+  figure;
+
+  ax1 = subplot(2,1,1);
+  hold on;
+  plot(freqs, abs(squeeze(freqresp(G, freqs, 'Hz'))), '-');
+  hold off;
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
+  ylabel('Amplitude'); set(gca, 'XTickLabel',[]);
+  hold off;
+
+  ax2 = subplot(2,1,2);
+  hold on;
+  plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(G, freqs, 'Hz')))), '-');
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
+  yticks(-360:90:360);
+  ylim([-360 0]);
+  xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
+  hold off;
+  linkaxes([ax1,ax2],'x');
+  xlim([freqs(1), freqs(end)]);
+#+end_src
+
+#+begin_src matlab
+  figure;
+
+  gains = logspace(0, 5, 500);
+
+  hold on;
+  plot(real(pole(G)),  imag(pole(G)), 'kx');
+  plot(real(tzero(G)),  imag(tzero(G)), 'ko');
+  for k = 1:length(gains)
+      cl_poles = pole(feedback(G, gains(k)/s));
+      plot(real(cl_poles), imag(cl_poles), 'k.');
+  end
+  hold off;
+  axis square;
+  xlim([-500, 10]); ylim([0, 510]);
+
+  xlabel('Real Part'); ylabel('Imaginary Part');
+#+end_src
+
+** DVF
+#+begin_src matlab
+  m = 10;
+#+end_src
+
+And the dynamics is identified.
+
+The two identified dynamics are compared in Figure [[fig:dynamics_act_disp_comp_mass]].
+#+begin_src matlab
+  %% Name of the Simulink File
+  mdl = 'APA300ML_test_bench';
+
+  %% Input/Output definition
+  clear io; io_i = 1;
+  io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
+  io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
+
+  G = -linearize(mdl, io);
+#+end_src
+
+#+begin_src matlab :exports none
+  freqs = logspace(0, 4, 5000);
+
+  figure;
+
+  ax1 = subplot(2,1,1);
+  hold on;
+  plot(freqs, abs(squeeze(freqresp(G, freqs, 'Hz'))), '-');
+  hold off;
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
+  ylabel('Amplitude'); set(gca, 'XTickLabel',[]);
+  hold off;
+
+  ax2 = subplot(2,1,2);
+  hold on;
+  plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(G, freqs, 'Hz')))), '-');
+  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
+  yticks(-360:90:360);
+  ylim([-360 0]);
+  xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
+  hold off;
+  linkaxes([ax1,ax2],'x');
+  xlim([freqs(1), freqs(end)]);
+#+end_src
+
+#+begin_src matlab
+  figure;
+
+  gains = logspace(0, 5, 500);
+
+  hold on;
+  plot(real(pole(G)),  imag(pole(G)), 'kx');
+  plot(real(tzero(G)),  imag(tzero(G)), 'ko');
+  for k = 1:length(gains)
+      cl_poles = pole(feedback(G, gains(k)*s));
+      plot(real(cl_poles), imag(cl_poles), 'k.');
+  end
+  hold off;
+  axis square;
+  xlim([-500, 10]); ylim([0, 510]);
+
+  xlabel('Real Part'); ylabel('Imaginary Part');
+#+end_src
+
 * Integral Force Feedback with Amplified Piezo
 ** Matlab Init                                             :noexport:ignore:
 #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)