z1_20

multipleshooting to find the roots of the non-linear functions

2.525000e+00	2.982141e-01	-2.539783e-01	4.848258e+01	-5.465250e+00	5.465250e+00	
2.550000e+00	2.919226e-01	-2.491483e-01	4.731692e+01	-5.413938e+00	5.413938e+00	
2.575000e+00	2.857653e-01	-2.432887e-01	4.615604e+01	-5.343403e+00	5.343403e+00	
2.600000e+00	2.797646e-01	-2.366488e-01	4.500349e+01	-5.257456e+00	5.257456e+00	
2.625000e+00	2.739376e-01	-2.294255e-01	4.386227e+01	-5.159867e+00	5.159867e+00	
2.650000e+00	2.682968e-01	-2.217798e-01	4.273487e+01	-5.053663e+00	5.053663e+00	
2.675000e+00	2.628510e-01	-2.138394e-01	4.162332e+01	-4.941301e+00	4.941301e+00	
2.700000e+00	2.576063e-01	-2.057056e-01	4.052928e+01	-4.824765e+00	4.824765e+00	
2.725000e+00	2.525666e-01	-1.974580e-01	3.945408e+01	-4.705648e+00	4.705648e+00	
2.750000e+00	2.477338e-01	-1.891585e-01	3.839877e+01	-4.585225e+00	4.585225e+00	
2.775000e+00	2.431086e-01	-1.808549e-01	3.736414e+01	-4.464506e+00	4.464506e+00	
2.800000e+00	2.386907e-01	-1.725835e-01	3.635078e+01	-4.344290e+00	4.344290e+00	
2.825000e+00	2.344789e-01	-1.643714e-01	3.535909e+01	-4.225197e+00	4.225197e+00	
2.850000e+00	2.304714e-01	-1.562382e-01	3.438933e+01	-4.107708e+00	4.107708e+00	
2.875000e+00	2.266662e-01	-1.481979e-01	3.344160e+01	-3.992186e+00	3.992186e+00	
2.900000e+00	2.230606e-01	-1.402592e-01	3.251595e+01	-3.878906e+00	3.878906e+00	
2.925000e+00	2.196523e-01	-1.324271e-01	3.161227e+01	-3.768062e+00	3.768062e+00	
2.950000e+00	2.164383e-01	-1.247040e-01	3.073044e+01	-3.659794e+00	3.659794e+00	
2.975000e+00	2.134161e-01	-1.170896e-01	2.987022e+01	-3.554189e+00	3.554189e+00	
3.000000e+00	2.105829e-01	-1.095820e-01	2.903136e+01	-3.451300e+00	3.451300e+00	
3.025000e+00	2.079361e-01	-1.021778e-01	2.821354e+01	-3.351148e+00	3.351148e+00	
3.050000e+00	2.054732e-01	-9.487255e-02	2.741644e+01	-3.253732e+00	3.253732e+00	
3.075000e+00	2.031917e-01	-8.766091e-02	2.663968e+01	-3.159031e+00	3.159031e+00	
3.100000e+00	2.010894e-01	-8.053690e-02	2.588287e+01	-3.067012e+00	3.067012e+00	
3.125000e+00	1.991641e-01	-7.349404e-02	2.514563e+01	-2.977631e+00	2.977631e+00	
3.150000e+00	1.974140e-01	-6.652549e-02	2.442752e+01	-2.890837e+00	2.890837e+00	
3.175000e+00	1.958373e-01	-5.962412e-02	2.372814e+01	-2.806571e+00	2.806571e+00	
3.200000e+00	1.944323e-01	-5.278259e-02	2.304706e+01	-2.724772e+00	2.724772e+00	
3.225000e+00	1.931977e-01	-4.599341e-02	2.238384e+01	-2.645377e+00	2.645377e+00	
3.250000e+00	1.921322e-01	-3.924893e-02	2.173805e+01	-2.568321e+00	2.568321e+00	
3.275000e+00	1.912349e-01	-3.254140e-02	2.110928e+01	-2.493537e+00	2.493537e+00	
3.300000e+00	1.905049e-01	-2.586296e-02	2.049708e+01	-2.420961e+00	2.420961e+00	
3.325000e+00	1.899416e-01	-1.920564e-02	1.990105e+01	-2.350526e+00	2.350526e+00	
3.350000e+00	1.895445e-01	-1.256138e-02	1.932075e+01	-2.282168e+00	2.282168e+00	
3.375000e+00	1.893135e-01	-5.921967e-03	1.875577e+01	-2.215824e+00	2.215824e+00	
3.400000e+00	1.892484e-01	7.209461e-04	1.820571e+01	-2.151434e+00	2.151434e+00	
3.425000e+00	1.893496e-01	7.375881e-03	1.767015e+01	-2.088935e+00	2.088935e+00	
3.450000e+00	1.896174e-01	1.405156e-02	1.714871e+01	-2.028270e+00	2.028270e+00	
3.475000e+00	1.900524e-01	2.075695e-02	1.664099e+01	-1.969382e+00	1.969382e+00	
3.500000e+00	1.906556e-01	2.750130e-02	1.614661e+01	-1.912215e+00	1.912215e+00	
3.525000e+00	1.914279e-01	3.429417e-02	1.566519e+01	-1.856716e+00	1.856716e+00	
3.550000e+00	1.923708e-01	4.114551e-02	1.519636e+01	-1.802833e+00	1.802833e+00	
3.575000e+00	1.934858e-01	4.806572e-02	1.473976e+01	-1.750516e+00	1.750516e+00	
3.600000e+00	1.947747e-01	5.506569e-02	1.429502e+01	-1.699717e+00	1.699717e+00	
3.625000e+00	1.962398e-01	6.215689e-02	1.386181e+01	-1.650388e+00	1.650388e+00	
3.650000e+00	1.978835e-01	6.935146e-02	1.343976e+01	-1.602484e+00	1.602484e+00	
3.675000e+00	1.997084e-01	7.666229e-02	1.302856e+01	-1.555962e+00	1.555962e+00	
3.700000e+00	2.017177e-01	8.410314e-02	1.262786e+01	-1.510779e+00	1.510779e+00	
3.725000e+00	2.039148e-01	9.168873e-02	1.223734e+01	-1.466894e+00	1.466894e+00	
3.750000e+00	2.063035e-01	9.943488e-02	1.185667e+01	-1.424268e+00	1.424268e+00	
3.775000e+00	2.088880e-01	1.073586e-01	1.148556e+01	-1.382862e+00	1.382862e+00	
3.800000e+00	2.116731e-01	1.154785e-01	1.112368e+01	-1.342641e+00	1.342641e+00	
3.825000e+00	2.146638e-01	1.238145e-01	1.077073e+01	-1.303567e+00	1.303567e+00	
3.850000e+00	2.178659e-01	1.323884e-01	1.042640e+01	-1.265608e+00	1.265608e+00	
3.875000e+00	2.212855e-01	1.412239e-01	1.009042e+01	-1.228729e+00	1.228729e+00	
3.900000e+00	2.249295e-01	1.503471e-01	9.762472e+00	-1.192899e+00	1.192899e+00	
3.925000e+00	2.288055e-01	1.597861e-01	9.442276e+00	-1.158087e+00	1.158087e+00	
3.950000e+00	2.329218e-01	1.695720e-01	9.129544e+00	-1.124263e+00	1.124263e+00	
3.975000e+00	2.372874e-01	1.797385e-01	8.823989e+00	-1.091399e+00	1.091399e+00	
4.000000e+00	2.419123e-01	1.903228e-01	8.525328e+00	-1.059467e+00	1.059467e+00	
4.025000e+00	2.468075e-01	2.013650e-01	8.233276e+00	-1.028441e+00	1.028441e+00	
4.050000e+00	2.519849e-01	2.129091e-01	7.947551e+00	-9.982941e-01	9.982941e-01	
4.075000e+00	2.574577e-01	2.250025e-01	7.667866e+00	-9.690030e-01	9.690030e-01	
4.100000e+00	2.632402e-01	2.376964e-01	7.393937e+00	-9.405437e-01	9.405437e-01	
4.125000e+00	2.693481e-01	2.510457e-01	7.125474e+00	-9.128936e-01	9.128936e-01	
4.150000e+00	2.757986e-01	2.651086e-01	6.862185e+00	-8.860308e-01	8.860308e-01	
4.175000e+00	2.826103e-01	2.799463e-01	6.603773e+00	-8.599345e-01	8.599345e-01	
4.200000e+00	2.898032e-01	2.956220e-01	6.349939e+00	-8.345845e-01	8.345845e-01	
4.225000e+00	2.973993e-01	3.122000e-01	6.100374e+00	-8.099613e-01	8.099613e-01	
4.250000e+00	3.054217e-01	3.297437e-01	5.854766e+00	-7.860461e-01	7.860461e-01	
4.275000e+00	3.138955e-01	3.483131e-01	5.612794e+00	-7.628206e-01	7.628206e-01	
4.300000e+00	3.228469e-01	3.679619e-01	5.374133e+00	-7.402666e-01	7.402666e-01	
4.325000e+00	3.323035e-01	3.887329e-01	5.138451e+00	-7.183661e-01	7.183661e-01	
4.350000e+00	3.422938e-01	4.106527e-01	4.905409e+00	-6.971007e-01	6.971007e-01	
4.375000e+00	3.528466e-01	4.337243e-01	4.674667e+00	-6.764515e-01	6.764515e-01	
4.400000e+00	3.639904e-01	4.579189e-01	4.445886e+00	-6.563984e-01	6.563984e-01	
4.425000e+00	3.757524e-01	4.831649e-01	4.218731e+00	-6.369193e-01	6.369193e-01	
4.450000e+00	3.881576e-01	5.093358e-01	3.992880e+00	-6.179899e-01	6.179899e-01	
4.475000e+00	4.012267e-01	5.362351e-01	3.768031e+00	-5.995823e-01	5.995823e-01	
4.500000e+00	4.149747e-01	5.635805e-01	3.543920e+00	-5.816639e-01	5.816639e-01	
4.525000e+00	4.294081e-01	5.909860e-01	3.320327e+00	-5.641963e-01	5.641963e-01	
4.550000e+00	4.445223e-01	6.179436e-01	3.097109e+00	-5.471339e-01	5.471339e-01	
4.575000e+00	4.602983e-01	6.438058e-01	2.874212e+00	-5.304218e-01	5.304218e-01	
4.600000e+00	4.766991e-01	6.677705e-01	2.651710e+00	-5.139946e-01	5.139946e-01	
4.625000e+00	4.936654e-01	6.888698e-01	2.429832e+00	-4.977740e-01	4.977740e-01	
4.650000e+00	5.111117e-01	7.059670e-01	2.208998e+00	-4.816677e-01	4.816677e-01	
4.675000e+00	5.289219e-01	7.177622e-01	1.989858e+00	-4.655671e-01	4.655671e-01	
4.700000e+00	5.469455e-01	7.228106e-01	1.773324e+00	-4.493468e-01	4.493468e-01	
4.725000e+00	5.649946e-01	7.195543e-01	1.560594e+00	-4.328640e-01	4.328640e-01	
4.750000e+00	5.828412e-01	7.063666e-01	1.353163e+00	-4.159586e-01	4.159586e-01	
4.775000e+00	6.002163e-01	6.816070e-01	1.152814e+00	-3.984550e-01	3.984550e-01	
4.800000e+00	6.168105e-01	6.436814e-01	9.615811e-01	-3.801651e-01	3.801651e-01	
4.825000e+00	6.322756e-01	5.910970e-01	7.816765e-01	-3.608918e-01	3.608918e-01	
4.850000e+00	6.462291e-01	5.225151e-01	6.153859e-01	-3.404344e-01	3.404344e-01	
4.875000e+00	6.582554e-01	4.367318e-01	4.649095e-01	-3.185962e-01	3.185962e-01	
4.900000e+00	6.679111e-01	3.326671e-01	3.322041e-01	-2.951890e-01	2.951890e-01	
4.925000e+00	6.747261e-01	2.092646e-01	2.187882e-01	-2.700405e-01	2.700405e-01	
4.950000e+00	6.782025e-01	6.533795e-02	1.255475e-01	-2.429990e-01	2.429990e-01	
4.975000e+00	6.778089e-01	-1.006646e-01	5.255129e-02	-2.139352e-01	2.139352e-01	
5.000000e+00	6.729668e-01	-2.911655e-01	1.106711e-23	-3.553972e-24	3.553972e-24