| 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 |
