z1_3

multipleshooting to find the roots of the non-linear functions

2.525000e+00	7.932980e-02	-2.563935e-02	1.015046e+01	-1.150304e+00	1.150304e+00	
2.550000e+00	7.872067e-02	-2.309420e-02	9.866047e+00	-1.118121e+00	1.118121e+00	
2.575000e+00	7.817493e-02	-2.056850e-02	9.589427e+00	-1.086846e+00	1.086846e+00	
2.600000e+00	7.769210e-02	-1.806007e-02	9.320391e+00	-1.056453e+00	1.056453e+00	
2.625000e+00	7.727180e-02	-1.556675e-02	9.058728e+00	-1.026916e+00	1.026916e+00	
2.650000e+00	7.691366e-02	-1.308638e-02	8.804236e+00	-9.982106e-01	9.982106e-01	
2.675000e+00	7.661739e-02	-1.061684e-02	8.556716e+00	-9.703128e-01	9.703128e-01	
2.700000e+00	7.638274e-02	-8.156004e-03	8.315974e+00	-9.431995e-01	9.431995e-01	
2.725000e+00	7.620953e-02	-5.701761e-03	8.081822e+00	-9.168480e-01	9.168480e-01	
2.750000e+00	7.609762e-02	-3.252002e-03	7.854077e+00	-8.912367e-01	8.912367e-01	
2.775000e+00	7.604691e-02	-8.046258e-04	7.632560e+00	-8.663444e-01	8.663444e-01	
2.800000e+00	7.605738e-02	1.642473e-03	7.417098e+00	-8.421506e-01	8.421506e-01	
2.825000e+00	7.612905e-02	4.091399e-03	7.207520e+00	-8.186353e-01	8.186353e-01	
2.850000e+00	7.626199e-02	6.544266e-03	7.003664e+00	-7.957794e-01	7.957794e-01	
2.875000e+00	7.645631e-02	9.003192e-03	6.805367e+00	-7.735639e-01	7.735639e-01	
2.900000e+00	7.671221e-02	1.147031e-02	6.612475e+00	-7.519709e-01	7.519709e-01	
2.925000e+00	7.702992e-02	1.394776e-02	6.424834e+00	-7.309825e-01	7.309825e-01	
2.950000e+00	7.740971e-02	1.643772e-02	6.242297e+00	-7.105817e-01	7.105817e-01	
2.975000e+00	7.785192e-02	1.894236e-02	6.064720e+00	-6.907519e-01	6.907519e-01	
3.000000e+00	7.835697e-02	2.146389e-02	5.891963e+00	-6.714769e-01	6.714769e-01	
3.025000e+00	7.892528e-02	2.400455e-02	5.723889e+00	-6.527410e-01	6.527410e-01	
3.050000e+00	7.955737e-02	2.656660e-02	5.560366e+00	-6.345291e-01	6.345291e-01	
3.075000e+00	8.025381e-02	2.915235e-02	5.401263e+00	-6.168263e-01	6.168263e-01	
3.100000e+00	8.101521e-02	3.176413e-02	5.246455e+00	-5.996184e-01	5.996184e-01	
3.125000e+00	8.184225e-02	3.440433e-02	5.095819e+00	-5.828913e-01	5.828913e-01	
3.150000e+00	8.273568e-02	3.707538e-02	4.949236e+00	-5.666316e-01	5.666316e-01	
3.175000e+00	8.369630e-02	3.977976e-02	4.806590e+00	-5.508261e-01	5.508261e-01	
3.200000e+00	8.472497e-02	4.252000e-02	4.667767e+00	-5.354621e-01	5.354621e-01	
3.225000e+00	8.582262e-02	4.529870e-02	4.532657e+00	-5.205272e-01	5.205272e-01	
3.250000e+00	8.699025e-02	4.811854e-02	4.401153e+00	-5.060093e-01	5.060093e-01	
3.275000e+00	8.822892e-02	5.098225e-02	4.273150e+00	-4.918968e-01	4.918968e-01	
3.300000e+00	8.953976e-02	5.389265e-02	4.148546e+00	-4.781783e-01	4.781783e-01	
3.325000e+00	9.092397e-02	5.685265e-02	4.027243e+00	-4.648429e-01	4.648429e-01	
3.350000e+00	9.238283e-02	5.986524e-02	3.909143e+00	-4.518797e-01	4.518797e-01	
3.375000e+00	9.391770e-02	6.293353e-02	3.794153e+00	-4.392784e-01	4.392784e-01	
3.400000e+00	9.553000e-02	6.606073e-02	3.682181e+00	-4.270289e-01	4.270289e-01	
3.425000e+00	9.722126e-02	6.925016e-02	3.573138e+00	-4.151214e-01	4.151214e-01	
3.450000e+00	9.899306e-02	7.250528e-02	3.466936e+00	-4.035463e-01	4.035463e-01	
3.475000e+00	1.008471e-01	7.582969e-02	3.363490e+00	-3.922945e-01	3.922945e-01	
3.500000e+00	1.027852e-01	7.922714e-02	3.262718e+00	-3.813570e-01	3.813570e-01	
3.525000e+00	1.048091e-01	8.270153e-02	3.164540e+00	-3.707250e-01	3.707250e-01	
3.550000e+00	1.069209e-01	8.625695e-02	3.068876e+00	-3.603900e-01	3.603900e-01	
3.575000e+00	1.091227e-01	8.989767e-02	2.975649e+00	-3.503439e-01	3.503439e-01	
3.600000e+00	1.114166e-01	9.362816e-02	2.884786e+00	-3.405787e-01	3.405787e-01	
3.625000e+00	1.138049e-01	9.745312e-02	2.796212e+00	-3.310866e-01	3.310866e-01	
3.650000e+00	1.162901e-01	1.013775e-01	2.709856e+00	-3.218602e-01	3.218602e-01	
3.675000e+00	1.188746e-01	1.054064e-01	2.625649e+00	-3.128922e-01	3.128922e-01	
3.700000e+00	1.215613e-01	1.095454e-01	2.543523e+00	-3.041754e-01	3.041754e-01	
3.725000e+00	1.243529e-01	1.138002e-01	2.463410e+00	-2.957031e-01	2.957031e-01	
3.750000e+00	1.272524e-01	1.181768e-01	2.385247e+00	-2.874686e-01	2.874686e-01	
3.775000e+00	1.302628e-01	1.226817e-01	2.308969e+00	-2.794654e-01	2.794654e-01	
3.800000e+00	1.333876e-01	1.273215e-01	2.234514e+00	-2.716874e-01	2.716874e-01	
3.825000e+00	1.366301e-01	1.321033e-01	2.161821e+00	-2.641285e-01	2.641285e-01	
3.850000e+00	1.399940e-01	1.370346e-01	2.090830e+00	-2.567828e-01	2.567828e-01	
3.875000e+00	1.434832e-01	1.421232e-01	2.021484e+00	-2.496448e-01	2.496448e-01	
3.900000e+00	1.471016e-01	1.473773e-01	1.953723e+00	-2.427088e-01	2.427088e-01	
3.925000e+00	1.508535e-01	1.528056e-01	1.887493e+00	-2.359697e-01	2.359697e-01	
3.950000e+00	1.547434e-01	1.584171e-01	1.822737e+00	-2.294222e-01	2.294222e-01	
3.975000e+00	1.587760e-01	1.642209e-01	1.759402e+00	-2.230615e-01	2.230615e-01	
4.000000e+00	1.629562e-01	1.702269e-01	1.697433e+00	-2.168828e-01	2.168828e-01	
4.025000e+00	1.672892e-01	1.764447e-01	1.636778e+00	-2.108813e-01	2.108813e-01	
4.050000e+00	1.717803e-01	1.828843e-01	1.577385e+00	-2.050527e-01	2.050527e-01	
4.075000e+00	1.764354e-01	1.895556e-01	1.519203e+00	-1.993925e-01	1.993925e-01	
4.100000e+00	1.812602e-01	1.964683e-01	1.462181e+00	-1.938965e-01	1.938965e-01	
4.125000e+00	1.862609e-01	2.036316e-01	1.406269e+00	-1.885607e-01	1.885607e-01	
4.150000e+00	1.914440e-01	2.110538e-01	1.351419e+00	-1.833809e-01	1.833809e-01	
4.175000e+00	1.968159e-01	2.187420e-01	1.297580e+00	-1.783532e-01	1.783532e-01	
4.200000e+00	2.023835e-01	2.267014e-01	1.244706e+00	-1.734736e-01	1.734736e-01	
4.225000e+00	2.081534e-01	2.349347e-01	1.192748e+00	-1.687382e-01	1.687382e-01	
4.250000e+00	2.141326e-01	2.434411e-01	1.141661e+00	-1.641430e-01	1.641430e-01	
4.275000e+00	2.203278e-01	2.522151e-01	1.091397e+00	-1.596838e-01	1.596838e-01	
4.300000e+00	2.267456e-01	2.612455e-01	1.041913e+00	-1.553563e-01	1.553563e-01	
4.325000e+00	2.333922e-01	2.705128e-01	9.931636e-01	-1.511558e-01	1.511558e-01	
4.350000e+00	2.402732e-01	2.799883e-01	9.451070e-01	-1.470775e-01	1.470775e-01	
4.375000e+00	2.473932e-01	2.896305e-01	8.977023e-01	-1.431156e-01	1.431156e-01	
4.400000e+00	2.547558e-01	2.993824e-01	8.509112e-01	-1.392639e-01	1.392639e-01	
4.425000e+00	2.623629e-01	3.091682e-01	8.046984e-01	-1.355151e-01	1.355151e-01	
4.450000e+00	2.702140e-01	3.188882e-01	7.590321e-01	-1.318609e-01	1.318609e-01	
4.475000e+00	2.783059e-01	3.284144e-01	7.138855e-01	-1.282913e-01	1.282913e-01	
4.500000e+00	2.866320e-01	3.375843e-01	6.692380e-01	-1.247946e-01	1.247946e-01	
4.525000e+00	2.951808e-01	3.461938e-01	6.250766e-01	-1.213568e-01	1.213568e-01	
4.550000e+00	3.039352e-01	3.539900e-01	5.813982e-01	-1.179610e-01	1.179610e-01	
4.575000e+00	3.128712e-01	3.606619e-01	5.382113e-01	-1.145871e-01	1.145871e-01	
4.600000e+00	3.219561e-01	3.658308e-01	4.955396e-01	-1.112110e-01	1.112110e-01	
4.625000e+00	3.311467e-01	3.690395e-01	4.534244e-01	-1.078037e-01	1.078037e-01	
4.650000e+00	3.403874e-01	3.697403e-01	4.119287e-01	-1.043308e-01	1.043308e-01	
4.675000e+00	3.496076e-01	3.672819e-01	3.711407e-01	-1.007512e-01	1.007512e-01	
4.700000e+00	3.587188e-01	3.608951e-01	3.311777e-01	-9.701608e-02	9.701608e-02	
4.725000e+00	3.676120e-01	3.496769e-01	2.921905e-01	-9.306807e-02	9.306807e-02	
4.750000e+00	3.761535e-01	3.325725e-01	2.543657e-01	-8.883962e-02	8.883962e-02	
4.775000e+00	3.841810e-01	3.083539e-01	2.179285e-01	-8.425173e-02	8.425173e-02	
4.800000e+00	3.914995e-01	2.755935e-01	1.831423e-01	-7.921234e-02	7.921234e-02	
4.825000e+00	3.978750e-01	2.326294e-01	1.503050e-01	-7.361454e-02	7.361454e-02	
4.850000e+00	4.030289e-01	1.775187e-01	1.197411e-01	-6.733439e-02	6.733439e-02	
4.875000e+00	4.066297e-01	1.079710e-01	9.178662e-02	-6.022822e-02	6.022822e-02	
4.900000e+00	4.082836e-01	2.125304e-02	6.676593e-02	-5.212914e-02	5.212914e-02	
4.925000e+00	4.075213e-01	-8.595012e-02	4.495687e-02	-4.284225e-02	4.284225e-02	
4.950000e+00	4.037817e-01	-2.177360e-01	2.653776e-02	-3.213659e-02	3.213659e-02	
4.975000e+00	3.963877e-01	-3.792898e-01	1.154360e-02	-1.946831e-02	1.946831e-02	
5.000000e+00	3.845141e-01	-5.773615e-01	-3.686105e-22	-4.503080e-21	4.503080e-21