correction factors = { 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.880586 , 1.741631 , 1.524632 , 1.564904 , 1.390035 , 1.342501 , 1.264768 , 1.200357 , 1.131471 , 1.06512 , 1.105211 , 1.081234 , 1.064999 , 1.056798 , 1.042573 , 1.009621 , 1.009031 , 1.002107 , 0.997332 , 0.976807 , 0.963755 , 0.969028 , 0.962823 , 0.949522 , 0.960568 , 0.957813 , 0.934766 , 0.944994 , 0.937726 , 0.935257 , 0.932706 , 0.932568 , 0.933217 , 0.928705 , 0.929294 , 0.936669 , 0.935498 , 0.94823 , 0.949846 , 0.945885 , 0.935468 , 0.930084 , 0.934473 , 0.935378 , 0.939193 , 0.935081 , 0.937398 , 0.943396 , 0.947133 , 0.950645 , 0.945531 , 0.940295 , 0.933129 , 0.930664 , 0.92736 , 0.931786 , 0.928217 , 0.928205 , 0.926481 , 0.928583 , 0.930504 , 0.93648 , 0.930731 , 0.931265 , 0.935063 , 0.93434 , 0.926983 , 0.932689 , 0.936477 , 0.939647 , 0.940155 , 0.937519 , 0.939448 , 0.942124 , 0.93653 , 0.9435 , 0.959204 , 0.942566 , 0.940873 , 0.939414 , 0.939822 , 0.940174 , 0.941372 , 0.939347 , 0.942108 , 0.942664 , 0.934811 , 0.934567 , 0.937712 , 0.940611 , 0.944809 , 0.939877 , 0.943376 , 0.939189 , 0.943619 , 0.946268 , 0.940166 , 0.953752 , 0.958975 , 0.954512 , 0.954103 , 0.958978 , 0.953247 , 0.952199 , 0.956082 , 0.957846 , 0.970078 , 0.973704 , 0.980014 , 0.928845 , 0.922973 , 0.954414 , 0.95521 , 0.961276 , 0.964513 , 0.965296 , 0.964644 , 0.954999 , 0.951133 , 0.956216 , 0.951977 , 0.948547 , 0.949499 , 0.952685 , 0.950158 , 0.944263 , 0.936946 , 0.938394 , 0.941325 , 0.94116 , 0.941397 , 0.940811 , 0.942695 , 0.945228 , 0.953929 , 0.962457 , 0.968728 , 0.963947 , 0.961222 , 0.963003 , 0.967658 , 0.969773 , 0.970294 , 0.963456 , 0.970497 , 0.976972 , 0.961611 , 0.953081 , 0.945668 , 0.993867 , 1.019915 , 0.997013 , 0.977643 , 0.998022 , 1.007041 , 1.003881 , 0.991335 , 0.976202 , 0.967636 , 0.969294 , 0.965331 , 0.968705 , 0.965705 , 0.973601 , 0.97282 , 0.970848 , 0.970687 , 0.969394 , 0.972263 , 0.969286 , 0.970327 , 0.97754 , 0.984703 , 0.993916 , 1.02186 , 1.054704 , 1.061183 , 1.036962 , 1.012519 , 0.991209 , 0.975974 , 0.965446 , 0.958801 , 0.951519 , 0.960628 , 0.957276 , 0.96061 , 0.95689 , 0.956666 , 0.965567 , 0.982251 , 1.038526 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.131643 , 1.150333 , 1.112466 , 1.06255 , 1.033182 , 1.03018 , 1.006512 , 0.993285 , 1.003557 , 1.014441 , 0.998586 , 0.994426 , 0.987975 , 0.984681 , 0.981863 , 0.964106 , 0.956432 , 0.954467 , 0.956429 , 0.950668 , 0.947217 , 0.944635 , 0.942942 , 0.941078 , 0.943502 , 0.950408 , 0.957625 , 0.965073 , 0.976012 , 0.976683 , 0.975625 , 0.968011 , 0.968843 , 0.970632 , 0.960977 , 0.960505 , 0.955015 , 0.953597 , 0.951119 , 0.945679 , 0.949988 , 0.951236 , 0.947813 , 0.948004 , 0.950015 , 0.939258 , 0.945863 , 0.953927 , 0.953145 , 0.945291 , 0.942319 , 0.947022 , 0.948264 , 0.947112 , 0.942092 , 0.943128 , 0.948068 , 0.944432 , 0.950396 , 0.964006 , 0.961019 , 0.951786 , 0.957457 , 0.950327 , 0.954375 , 0.9608 , 0.965864 , 0.982396 , 1.011334 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.289798 , 1.126375 , 1.074621 , 1.069365 , 1.051364 , 1.009432 , 0.984578 , 0.991187 , 1.016306 , 1.083681 , 1.076539 , 1.104657 , 1.114005 , 1.081102 , 1.039196 , 1.009524 , 0.966515 , 0.953688 , 0.966274 , 0.973232 , 0.966402 , 0.946801 , 0.951952 , 0.965679 , 0.96977 , 0.946541 , 0.941678 , 0.937528 , 0.922351 , 0.914192 , 0.92879 , 0.932284 , 0.933182 , 0.922322 , 0.91851 , 0.919591 , 0.925027 , 0.924611 , 0.932288 , 0.933352 , 0.930517 , 0.931666 , 0.931763 , 0.932655 , 0.928945 , 0.933308 , 0.932392 , 0.932943 , 0.935328 , 0.947019 , 0.954093 , 0.95156 , 0.939591 , 0.942808 , 0.944862 , 0.944004 , 0.949161 , 0.950992 , 0.956738 , 0.951184 , 0.953545 , 0.958836 , 0.966134 , 0.956752 , 0.951961 , 0.958667 , 0.9579 , 0.968531 , 0.973792 , 0.969238 , 0.970838 , 0.954552 , 0.968166 , 0.989176 , 0.974784 , 0.970674 , 0.9733 , 0.990576 , 1.0062 , 1.010295 , 0.99378 , 0.986109 , 1.007054 , 1.005377 , 1.010013 , 1.014671 , 1.021618 , 1.021229 , 1.021003 , 1.020866 , 1.029358 , 1.042136 , 1.030482 , 1.019556 , 1.036656 , 1.05348 , 1.015947 , 1.07263 , 1.092879 , 1.053624 , 1.086491 , 1.139334 , 1.163645 , 1.162487 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 , 1.0 }
