z1_1

multipleshooting to find the roots of the non-linear functions

2.525000e+00	7.807621e-02	-2.442636e-02	9.921146e+00	-1.124089e+00	1.124089e+00	
2.550000e+00	7.749689e-02	-2.192251e-02	9.643127e+00	-1.092649e+00	1.092649e+00	
2.575000e+00	7.697993e-02	-1.943708e-02	9.372731e+00	-1.062096e+00	1.062096e+00	
2.600000e+00	7.652489e-02	-1.696793e-02	9.109749e+00	-1.032404e+00	1.032404e+00	
2.625000e+00	7.613141e-02	-1.451293e-02	8.853975e+00	-1.003548e+00	1.003548e+00	
2.650000e+00	7.579915e-02	-1.206997e-02	8.605211e+00	-9.755036e-01	9.755036e-01	
2.675000e+00	7.552783e-02	-9.636953e-03	8.363261e+00	-9.482478e-01	9.482478e-01	
2.700000e+00	7.531723e-02	-7.211804e-03	8.127937e+00	-9.217580e-01	9.217580e-01	
2.725000e+00	7.516719e-02	-4.792439e-03	7.899056e+00	-8.960122e-01	8.960122e-01	
2.750000e+00	7.507758e-02	-2.376787e-03	7.676436e+00	-8.709893e-01	8.709893e-01	
2.775000e+00	7.504834e-02	3.722248e-05	7.459904e+00	-8.466685e-01	8.466685e-01	
2.800000e+00	7.507945e-02	2.451661e-03	7.249291e+00	-8.230298e-01	8.230298e-01	
2.825000e+00	7.517094e-02	4.868604e-03	7.044429e+00	-8.000539e-01	8.000539e-01	
2.850000e+00	7.532291e-02	7.290132e-03	6.845159e+00	-7.777219e-01	7.777219e-01	
2.875000e+00	7.553550e-02	9.718335e-03	6.651323e+00	-7.560156e-01	7.560156e-01	
2.900000e+00	7.580890e-02	1.215532e-02	6.462768e+00	-7.349171e-01	7.349171e-01	
2.925000e+00	7.614336e-02	1.460319e-02	6.279347e+00	-7.144093e-01	7.144093e-01	
2.950000e+00	7.653917e-02	1.706409e-02	6.100914e+00	-6.944755e-01	6.944755e-01	
2.975000e+00	7.699669e-02	1.954018e-02	5.927329e+00	-6.750993e-01	6.750993e-01	
3.000000e+00	7.751633e-02	2.203364e-02	5.758453e+00	-6.562652e-01	6.562652e-01	
3.025000e+00	7.809854e-02	2.454667e-02	5.594155e+00	-6.379577e-01	6.379577e-01	
3.050000e+00	7.874384e-02	2.708151e-02	5.434303e+00	-6.201621e-01	6.201621e-01	
3.075000e+00	7.945282e-02	2.964045e-02	5.278772e+00	-6.028639e-01	6.028639e-01	
3.100000e+00	8.022609e-02	3.222578e-02	5.127438e+00	-5.860491e-01	5.860491e-01	
3.125000e+00	8.106435e-02	3.483988e-02	4.980181e+00	-5.697040e-01	5.697040e-01	
3.150000e+00	8.196834e-02	3.748513e-02	4.836885e+00	-5.538156e-01	5.538156e-01	
3.175000e+00	8.293889e-02	4.016401e-02	4.697436e+00	-5.383710e-01	5.383710e-01	
3.200000e+00	8.397685e-02	4.287901e-02	4.561722e+00	-5.233577e-01	5.233577e-01	
3.225000e+00	8.508316e-02	4.563271e-02	4.429638e+00	-5.087636e-01	5.087636e-01	
3.250000e+00	8.625883e-02	4.842775e-02	4.301076e+00	-4.945771e-01	4.945771e-01	
3.275000e+00	8.750492e-02	5.126685e-02	4.175936e+00	-4.807865e-01	4.807865e-01	
3.300000e+00	8.882256e-02	5.415280e-02	4.054118e+00	-4.673810e-01	4.673810e-01	
3.325000e+00	9.021298e-02	5.708846e-02	3.935524e+00	-4.543497e-01	4.543497e-01	
3.350000e+00	9.167743e-02	6.007682e-02	3.820061e+00	-4.416822e-01	4.416822e-01	
3.375000e+00	9.321729e-02	6.312095e-02	3.707636e+00	-4.293683e-01	4.293683e-01	
3.400000e+00	9.483397e-02	6.622402e-02	3.598159e+00	-4.173981e-01	4.173981e-01	
3.425000e+00	9.652901e-02	6.938934e-02	3.491544e+00	-4.057622e-01	4.057622e-01	
3.450000e+00	9.830399e-02	7.262032e-02	3.387705e+00	-3.944511e-01	3.944511e-01	
3.475000e+00	1.001606e-01	7.592052e-02	3.286560e+00	-3.834559e-01	3.834559e-01	
3.500000e+00	1.021006e-01	7.929367e-02	3.188026e+00	-3.727678e-01	3.727678e-01	
3.525000e+00	1.041259e-01	8.274363e-02	3.092027e+00	-3.623782e-01	3.623782e-01	
3.550000e+00	1.062385e-01	8.627444e-02	2.998483e+00	-3.522790e-01	3.522790e-01	
3.575000e+00	1.084404e-01	8.989033e-02	2.907321e+00	-3.424620e-01	3.424620e-01	
3.600000e+00	1.107338e-01	9.359573e-02	2.818467e+00	-3.329196e-01	3.329196e-01	
3.625000e+00	1.131210e-01	9.739529e-02	2.731850e+00	-3.236440e-01	3.236440e-01	
3.650000e+00	1.156044e-01	1.012939e-01	2.647400e+00	-3.146282e-01	3.146282e-01	
3.675000e+00	1.181865e-01	1.052966e-01	2.565049e+00	-3.058648e-01	3.058648e-01	
3.700000e+00	1.208701e-01	1.094090e-01	2.484729e+00	-2.973470e-01	2.973470e-01	
3.725000e+00	1.236580e-01	1.136365e-01	2.406377e+00	-2.890681e-01	2.890681e-01	
3.750000e+00	1.265530e-01	1.179853e-01	2.329929e+00	-2.810216e-01	2.810216e-01	
3.775000e+00	1.295583e-01	1.224615e-01	2.255322e+00	-2.732013e-01	2.732013e-01	
3.800000e+00	1.326772e-01	1.270719e-01	2.182495e+00	-2.656011e-01	2.656011e-01	
3.825000e+00	1.359131e-01	1.318234e-01	2.111389e+00	-2.582150e-01	2.582150e-01	
3.850000e+00	1.392696e-01	1.367233e-01	2.041946e+00	-2.510373e-01	2.510373e-01	
3.875000e+00	1.427506e-01	1.417794e-01	1.974107e+00	-2.440625e-01	2.440625e-01	
3.900000e+00	1.463600e-01	1.469997e-01	1.907818e+00	-2.372854e-01	2.372854e-01	
3.925000e+00	1.501020e-01	1.523927e-01	1.843023e+00	-2.307006e-01	2.307006e-01	
3.950000e+00	1.539812e-01	1.579671e-01	1.779667e+00	-2.243032e-01	2.243032e-01	
3.975000e+00	1.580020e-01	1.637321e-01	1.717698e+00	-2.180883e-01	2.180883e-01	
4.000000e+00	1.621695e-01	1.696970e-01	1.657063e+00	-2.120513e-01	2.120513e-01	
4.025000e+00	1.664887e-01	1.758713e-01	1.597710e+00	-2.061876e-01	2.061876e-01	
4.050000e+00	1.709649e-01	1.822647e-01	1.539589e+00	-2.004928e-01	2.004928e-01	
4.075000e+00	1.756039e-01	1.888866e-01	1.482651e+00	-1.949627e-01	1.949627e-01	
4.100000e+00	1.804113e-01	1.957463e-01	1.426844e+00	-1.895930e-01	1.895930e-01	
4.125000e+00	1.853933e-01	2.028526e-01	1.372121e+00	-1.843799e-01	1.843799e-01	
4.150000e+00	1.905561e-01	2.102131e-01	1.318433e+00	-1.793192e-01	1.793192e-01	
4.175000e+00	1.959062e-01	2.178342e-01	1.265734e+00	-1.744071e-01	1.744071e-01	
4.200000e+00	2.014501e-01	2.257206e-01	1.213975e+00	-1.696397e-01	1.696397e-01	
4.225000e+00	2.071946e-01	2.338738e-01	1.163111e+00	-1.650130e-01	1.650130e-01	
4.250000e+00	2.131462e-01	2.422922e-01	1.113097e+00	-1.605232e-01	1.605232e-01	
4.275000e+00	2.193115e-01	2.509690e-01	1.063887e+00	-1.561660e-01	1.561660e-01	
4.300000e+00	2.256968e-01	2.598915e-01	1.015437e+00	-1.519372e-01	1.519372e-01	
4.325000e+00	2.323081e-01	2.690390e-01	9.677060e-01	-1.478322e-01	1.478322e-01	
4.350000e+00	2.391505e-01	2.783807e-01	9.206517e-01	-1.438459e-01	1.438459e-01	
4.375000e+00	2.462286e-01	2.878731e-01	8.742350e-01	-1.399726e-01	1.399726e-01	
4.400000e+00	2.535452e-01	2.974569e-01	8.284192e-01	-1.362061e-01	1.362061e-01	
4.425000e+00	2.611017e-01	3.070534e-01	7.831702e-01	-1.325390e-01	1.325390e-01	
4.450000e+00	2.688973e-01	3.165600e-01	7.384580e-01	-1.289628e-01	1.289628e-01	
4.475000e+00	2.769282e-01	3.258449e-01	6.942574e-01	-1.254675e-01	1.254675e-01	
4.500000e+00	2.851866e-01	3.347415e-01	6.505495e-01	-1.220412e-01	1.220412e-01	
4.525000e+00	2.936605e-01	3.430411e-01	6.073231e-01	-1.186695e-01	1.186695e-01	
4.550000e+00	3.023319e-01	3.504854e-01	5.645769e-01	-1.153355e-01	1.153355e-01	
4.575000e+00	3.111753e-01	3.567571e-01	5.223215e-01	-1.120188e-01	1.120188e-01	
4.600000e+00	3.201570e-01	3.614703e-01	4.805824e-01	-1.086948e-01	1.086948e-01	
4.625000e+00	3.292322e-01	3.641596e-01	4.394030e-01	-1.053343e-01	1.053343e-01	
4.650000e+00	3.383437e-01	3.642675e-01	3.988481e-01	-1.019022e-01	1.019022e-01	
4.675000e+00	3.474187e-01	3.611310e-01	3.590078e-01	-9.835679e-02	9.835679e-02	
4.700000e+00	3.563668e-01	3.539673e-01	3.200011e-01	-9.464879e-02	9.464879e-02	
4.725000e+00	3.650758e-01	3.418564e-01	2.819798e-01	-9.071989e-02	9.071989e-02	
4.750000e+00	3.734092e-01	3.237229e-01	2.451315e-01	-8.650155e-02	8.650155e-02	
4.775000e+00	3.812010e-01	2.983126e-01	2.096814e-01	-8.191357e-02	8.191357e-02	
4.800000e+00	3.882515e-01	2.641645e-01	1.758917e-01	-7.686241e-02	7.686241e-02	
4.825000e+00	3.943215e-01	2.195737e-01	1.440579e-01	-7.123928e-02	7.123928e-02	
4.850000e+00	3.991257e-01	1.625405e-01	1.144999e-01	-6.491783e-02	6.491783e-02	
4.875000e+00	4.023243e-01	9.069934e-02	8.754680e-02	-5.775130e-02	5.775130e-02	
4.900000e+00	4.035129e-01	1.215891e-03	6.351232e-02	-4.956873e-02	4.956873e-02	
4.925000e+00	4.022091e-01	-1.093613e-01	4.265956e-02	-4.016977e-02	4.016977e-02	
4.950000e+00	3.978340e-01	-2.453166e-01	2.514604e-02	-2.931605e-02	2.931605e-02	
4.975000e+00	3.896879e-01	-4.120894e-01	1.097793e-02	-1.657787e-02	1.657787e-02	
5.000000e+00	3.769154e-01	-6.167507e-01	7.423614e-22	8.512612e-21	-8.512612e-21