 for n=1024, fwd/bck error=1.176591e-07
 for n=1024
1  0  0.999981  0.00613588  
0.999925  0.0122715  0.999831  0.0184067  
0.999699  0.0245412  0.999529  0.0306748  
0.999322  0.0368072  0.999078  0.0429383  
0.998795  0.0490677  0.998476  0.0551952  
0.998118  0.0613207  0.997723  0.0674439  
0.99729  0.0735646  0.99682  0.0796824  
0.996313  0.0857973  0.995767  0.091909  
0.995185  0.0980171  0.994565  0.104122  
0.993907  0.110222  0.993212  0.116319  
0.99248  0.122411  0.99171  0.128498  
0.990903  0.134581  0.990058  0.140658  
0.989177  0.14673  0.988258  0.152797  
0.987301  0.158858  0.986308  0.164913  
0.985278  0.170962  0.98421  0.177004  
0.983105  0.18304  0.981964  0.189069  
0.980785  0.19509  0.97957  0.201105  
0.978317  0.207111  0.977028  0.21311  
0.975702  0.219101  0.974339  0.225084  
0.97294  0.231058  0.971504  0.237024  
0.970031  0.24298  0.968522  0.248928  
0.966976  0.254866  0.965394  0.260794  
0.963776  0.266713  0.962121  0.272621  
0.960431  0.27852  0.958703  0.284408  
0.95694  0.290285  0.955141  0.296151  
0.953306  0.302006  0.951435  0.30785  
0.949528  0.313682  0.947586  0.319502  
0.945607  0.32531  0.943593  0.331106  
0.941544  0.33689  0.939459  0.342661  
0.937339  0.348419  0.935184  0.354164  
0.932993  0.359895  0.930767  0.365613  
0.928506  0.371317  0.92621  0.377007  
0.92388  0.382683  0.921514  0.388345  
0.919114  0.393992  0.916679  0.399624  
0.91421  0.405241  0.911706  0.410843  
0.909168  0.41643  0.906596  0.422  
0.903989  0.427555  0.901349  0.433094  
0.898674  0.438616  0.895966  0.444122  
0.893224  0.449611  0.890449  0.455084  
0.88764  0.460539  0.884797  0.465977  
0.881921  0.471397  0.879012  0.476799  
0.87607  0.482184  0.873095  0.48755  
0.870087  0.492898  0.867046  0.498228  
0.863973  0.503538  0.860867  0.50883  
0.857729  0.514103  0.854558  0.519356  
0.851355  0.52459  0.84812  0.529804  
0.844854  0.534998  0.841555  0.540172  
0.838225  0.545325  0.834863  0.550458  
0.83147  0.55557  0.828045  0.560662  
0.824589  0.565732  0.821102  0.570781  
0.817585  0.575808  0.814036  0.580814  
0.810457  0.585798  0.806848  0.59076  
0.803208  0.595699  0.799537  0.600617  
0.795837  0.605511  0.792107  0.610383  
0.788346  0.615232  0.784557  0.620057  
0.780737  0.62486  0.776888  0.629638  
0.77301  0.634393  0.769103  0.639124  
0.765167  0.643832  0.761202  0.648514  
0.757209  0.653173  0.753187  0.657807  
0.749136  0.662416  0.745058  0.667  
0.740951  0.671559  0.736817  0.676093  
0.732654  0.680601  0.728464  0.685084  
0.724247  0.689541  0.720002  0.693971  
0.715731  0.698376  0.711432  0.702755  
0.707107  0.707107  0.702755  0.711432  
0.698376  0.715731  0.693971  0.720003  
0.689541  0.724247  0.685084  0.728464  
0.680601  0.732654  0.676093  0.736817  
0.671559  0.740951  0.667  0.745058  
0.662416  0.749136  0.657807  0.753187  
0.653173  0.757209  0.648514  0.761202  
0.643832  0.765167  0.639124  0.769103  
0.634393  0.77301  0.629638  0.776888  
0.624859  0.780737  0.620057  0.784557  
0.615232  0.788346  0.610383  0.792107  
0.605511  0.795837  0.600616  0.799537  
0.595699  0.803208  0.59076  0.806848  
0.585798  0.810457  0.580814  0.814036  
0.575808  0.817585  0.570781  0.821102  
0.565732  0.824589  0.560662  0.828045  
0.55557  0.83147  0.550458  0.834863  
0.545325  0.838225  0.540172  0.841555  
0.534998  0.844854  0.529804  0.84812  
0.52459  0.851355  0.519356  0.854558  
0.514103  0.857729  0.50883  0.860867  
0.503538  0.863973  0.498228  0.867046  
0.492898  0.870087  0.48755  0.873095  
0.482184  0.87607  0.476799  0.879012  
0.471397  0.881921  0.465977  0.884797  
0.460539  0.88764  0.455084  0.890449  
0.449611  0.893224  0.444122  0.895966  
0.438616  0.898674  0.433094  0.901349  
0.427555  0.903989  0.422  0.906596  
0.41643  0.909168  0.410843  0.911706  
0.405241  0.91421  0.399624  0.916679  
0.393992  0.919114  0.388345  0.921514  
0.382683  0.92388  0.377007  0.92621  
0.371317  0.928506  0.365613  0.930767  
0.359895  0.932993  0.354163  0.935184  
0.348419  0.937339  0.342661  0.939459  
0.33689  0.941544  0.331106  0.943593  
0.32531  0.945607  0.319502  0.947586  
0.313682  0.949528  0.30785  0.951435  
0.302006  0.953306  0.296151  0.955141  
0.290285  0.95694  0.284407  0.958704  
0.27852  0.960431  0.272621  0.962121  
0.266713  0.963776  0.260794  0.965394  
0.254866  0.966976  0.248928  0.968522  
0.24298  0.970031  0.237024  0.971504  
0.231058  0.97294  0.225084  0.974339  
0.219101  0.975702  0.21311  0.977028  
0.207111  0.978317  0.201105  0.97957  
0.19509  0.980785  0.189069  0.981964  
0.18304  0.983105  0.177004  0.98421  
0.170962  0.985278  0.164913  0.986308  
0.158858  0.987301  0.152797  0.988258  
0.14673  0.989177  0.140658  0.990058  
0.134581  0.990903  0.128498  0.99171  
0.122411  0.99248  0.116319  0.993212  
0.110222  0.993907  0.104122  0.994565  
0.0980171  0.995185  0.0919089  0.995767  
0.0857973  0.996313  0.0796824  0.99682  
0.0735645  0.99729  0.0674438  0.997723  
0.0613207  0.998118  0.0551952  0.998476  
0.0490676  0.998795  0.0429382  0.999078  
0.0368072  0.999322  0.0306747  0.999529  
0.0245411  0.999699  0.0184067  0.999831  
0.0122715  0.999925  0.00613586  0.999981  
-4.37114e-08  1  -0.00613595  0.999981  
-0.0122716  0.999925  -0.0184068  0.999831  
-0.0245412  0.999699  -0.0306748  0.999529  
-0.0368073  0.999322  -0.0429383  0.999078  
-0.0490677  0.998795  -0.0551953  0.998476  
-0.0613208  0.998118  -0.0674439  0.997723  
-0.0735646  0.99729  -0.0796825  0.99682  
-0.0857974  0.996313  -0.091909  0.995767  
-0.0980172  0.995185  -0.104122  0.994565  
-0.110222  0.993907  -0.116319  0.993212  
-0.122411  0.99248  -0.128498  0.99171  
-0.134581  0.990903  -0.140658  0.990058  
-0.146731  0.989177  -0.152797  0.988258  
-0.158858  0.987301  -0.164913  0.986308  
-0.170962  0.985278  -0.177004  0.98421  
-0.18304  0.983105  -0.189069  0.981964  
-0.19509  0.980785  -0.201105  0.97957  
-0.207111  0.978317  -0.21311  0.977028  
-0.219101  0.975702  -0.225084  0.974339  
-0.231058  0.97294  -0.237024  0.971504  
-0.24298  0.970031  -0.248928  0.968522  
-0.254866  0.966976  -0.260794  0.965394  
-0.266713  0.963776  -0.272621  0.962121  
-0.27852  0.960431  -0.284408  0.958703  
-0.290285  0.95694  -0.296151  0.955141  
-0.302006  0.953306  -0.30785  0.951435  
-0.313682  0.949528  -0.319502  0.947586  
-0.32531  0.945607  -0.331106  0.943593  
-0.33689  0.941544  -0.342661  0.939459  
-0.348419  0.937339  -0.354164  0.935184  
-0.359895  0.932993  -0.365613  0.930767  
-0.371317  0.928506  -0.377007  0.92621  
-0.382684  0.92388  -0.388345  0.921514  
-0.393992  0.919114  -0.399624  0.916679  
-0.405241  0.91421  -0.410843  0.911706  
-0.41643  0.909168  -0.422  0.906596  
-0.427555  0.903989  -0.433094  0.901349  
-0.438616  0.898674  -0.444122  0.895966  
-0.449611  0.893224  -0.455084  0.890449  
-0.460539  0.88764  -0.465977  0.884797  
-0.471397  0.881921  -0.476799  0.879012  
-0.482184  0.87607  -0.48755  0.873095  
-0.492898  0.870087  -0.498228  0.867046  
-0.503538  0.863973  -0.50883  0.860867  
-0.514103  0.857729  -0.519356  0.854558  
-0.52459  0.851355  -0.529804  0.84812  
-0.534998  0.844854  -0.540172  0.841555  
-0.545325  0.838225  -0.550458  0.834863  
-0.55557  0.831469  -0.560662  0.828045  
-0.565732  0.824589  -0.570781  0.821102  
-0.575808  0.817585  -0.580814  0.814036  
-0.585798  0.810457  -0.59076  0.806848  
-0.595699  0.803207  -0.600617  0.799537  
-0.605511  0.795837  -0.610383  0.792107  
-0.615232  0.788346  -0.620057  0.784557  
-0.62486  0.780737  -0.629638  0.776888  
-0.634393  0.77301  -0.639124  0.769103  
-0.643832  0.765167  -0.648514  0.761202  
-0.653173  0.757209  -0.657807  0.753187  
-0.662416  0.749136  -0.667  0.745058  
-0.671559  0.740951  -0.676093  0.736816  
-0.680601  0.732654  -0.685084  0.728464  
-0.689541  0.724247  -0.693971  0.720003  
-0.698376  0.715731  -0.702755  0.711432  
-0.707107  0.707107  -0.711432  0.702755  
-0.715731  0.698376  -0.720003  0.693971  
-0.724247  0.689541  -0.728464  0.685084  
-0.732654  0.680601  -0.736817  0.676093  
-0.740951  0.671559  -0.745058  0.667  
-0.749137  0.662416  -0.753187  0.657807  
-0.757209  0.653173  -0.761202  0.648514  
-0.765167  0.643832  -0.769103  0.639124  
-0.77301  0.634393  -0.776888  0.629638  
-0.780737  0.624859  -0.784557  0.620057  
-0.788346  0.615232  -0.792107  0.610383  
-0.795837  0.605511  -0.799537  0.600616  
-0.803208  0.595699  -0.806848  0.59076  
-0.810457  0.585798  -0.814036  0.580814  
-0.817585  0.575808  -0.821102  0.570781  
-0.824589  0.565732  -0.828045  0.560662  
-0.83147  0.55557  -0.834863  0.550458  
-0.838225  0.545325  -0.841555  0.540171  
-0.844854  0.534998  -0.84812  0.529804  
-0.851355  0.52459  -0.854558  0.519356  
-0.857729  0.514103  -0.860867  0.50883  
-0.863973  0.503538  -0.867046  0.498228  
-0.870087  0.492898  -0.873095  0.48755  
-0.87607  0.482184  -0.879012  0.476799  
-0.881921  0.471397  -0.884797  0.465976  
-0.88764  0.460539  -0.890449  0.455083  
-0.893224  0.449611  -0.895966  0.444122  
-0.898674  0.438616  -0.901349  0.433094  
-0.903989  0.427555  -0.906596  0.422  
-0.909168  0.41643  -0.911706  0.410843  
-0.91421  0.405241  -0.916679  0.399624  
-0.919114  0.393992  -0.921514  0.388345  
-0.92388  0.382683  -0.92621  0.377007  
-0.928506  0.371317  -0.930767  0.365613  
-0.932993  0.359895  -0.935184  0.354164  
-0.937339  0.348419  -0.939459  0.342661  
-0.941544  0.33689  -0.943594  0.331106  
-0.945607  0.32531  -0.947586  0.319502  
-0.949528  0.313682  -0.951435  0.307849  
-0.953306  0.302006  -0.955141  0.296151  
-0.95694  0.290285  -0.958703  0.284408  
-0.960431  0.27852  -0.962121  0.272621  
-0.963776  0.266713  -0.965394  0.260794  
-0.966977  0.254866  -0.968522  0.248928  
-0.970031  0.24298  -0.971504  0.237023  
-0.97294  0.231058  -0.974339  0.225084  
-0.975702  0.219101  -0.977028  0.21311  
-0.978317  0.207111  -0.97957  0.201105  
-0.980785  0.19509  -0.981964  0.189069  
-0.983106  0.18304  -0.98421  0.177004  
-0.985278  0.170962  -0.986308  0.164913  
-0.987301  0.158858  -0.988258  0.152797  
-0.989177  0.14673  -0.990058  0.140658  
-0.990903  0.134581  -0.99171  0.128498  
-0.99248  0.122411  -0.993212  0.116319  
-0.993907  0.110222  -0.994565  0.104122  
-0.995185  0.0980171  -0.995767  0.0919089  
-0.996313  0.0857972  -0.99682  0.0796823  
-0.99729  0.0735644  -0.997723  0.0674438  
-0.998118  0.0613206  -0.998476  0.0551951  
-0.998796  0.0490675  -0.999078  0.0429381  
-0.999322  0.0368072  -0.999529  0.0306748  
-0.999699  0.0245412  -0.999831  0.0184067  
-0.999925  0.0122715  -0.999981  0.00613581  
exit 0