SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 3 -50/1 1/1 1 6 0.020068 In 0.011739 0.028397 -49/1 1/1 1 6 0.020479 In 0.011977 0.028981 -48/1 0/1 1 6 0.020833 In 0.012328 0.029339 -47/1 1/1 1 6 0.021354 In 0.012482 0.030225 -46/1 1/1 1 6 0.021820 In 0.012751 0.030888 -45/1 0/1 1 6 0.022222 In 0.013150 0.031294 -44/1 1/1 1 6 0.022815 In 0.013325 0.032305 -43/1 1/1 1 6 0.023348 In 0.013632 0.033064 -42/1 0/1 1 6 0.023810 In 0.014089 0.033530 -41/1 1/1 1 6 0.024492 In 0.014291 0.034693 -40/1 1/1 1 6 0.025107 In 0.014644 0.035569 -39/1 0/1 1 6 0.025641 In 0.015173 0.036109 -38/1 1/1 1 6 0.026434 In 0.015407 0.037462 -37/1 1/1 1 6 0.027152 In 0.015819 0.038485 -36/1 0/1 1 6 0.027778 In 0.016438 0.039118 -35/1 1/1 1 6 0.028711 In 0.016712 0.040711 -34/1 1/1 1 6 0.029560 In 0.017198 0.041922 -33/1 0/1 1 6 0.030303 In 0.017932 0.042674 -32/1 1/1 1 6 0.031418 In 0.018259 0.044576 -31/1 1/1 1 6 0.032437 In 0.018841 0.046034 -30/1 0/1 1 6 0.033333 In 0.019725 0.046942 -29/1 1/1 1 6 0.034688 In 0.020122 0.049254 -28/1 1/1 1 6 0.035935 In 0.020830 0.051039 -27/1 0/1 1 6 0.037037 In 0.021917 0.052157 -26/1 1/1 1 6 0.038718 In 0.022408 0.055027 -25/1 1/1 1 6 0.040277 In 0.023290 0.057265 -24/1 0/1 1 6 0.041667 In 0.024656 0.058677 -23/1 1/1 1 6 0.043807 In 0.025280 0.062335 -22/1 1/1 1 6 0.045815 In 0.026408 0.065222 -21/1 0/1 1 6 0.047619 In 0.028179 0.067059 -20/1 1/1 1 6 0.050438 In 0.028996 0.071880 -19/1 1/1 1 6 0.053118 In 0.030490 0.075746 -18/1 0/1 1 6 0.055556 In 0.032875 0.078236 -17/1 1/1 1 6 0.059435 In 0.033993 0.084876 -16/1 1/1 1 6 0.063192 In 0.036064 0.090320 -15/1 0/1 1 6 0.066667 In 0.039450 0.093883 -14/1 1/1 1 6 0.072340 In 0.041070 0.103611 -13/1 1/1 1 6 0.077986 In 0.044133 0.111839 -12/1 0/1 1 6 0.083333 In 0.049313 0.117354 -11/1 1/1 1 6 0.092414 In 0.051871 0.132957 -10/1 1/1 1 6 0.101836 In 0.056854 0.146819 -9/1 0/1 1 6 0.111111 In 0.065750 0.156472 -8/1 1/1 1 6 0.127937 In 0.070378 0.185497 -7/1 1/1 1 6 0.146758 In 0.079877 0.213638 -6/1 0/1 1 6 0.166667 In 0.098625 0.234708 -5/1 1/1 1 6 0.208054 In 0.109417 0.306691 -4/1 1/1 1 6 0.263158 In 0.134237 0.392078 -3/1 0/1 1 6 0.333333 In 0.197251 0.469416 -2/1 1/1 1 6 0.565217 In 0.245719 0.884716 -1/1 1/1 1 6 1.400000 In 0.420204 2.379796 0/1 0/1 1 6 1/1 1/1 1 6 2/1 1/1 1 6 -0.478261 In -0.584760 -0.371761 3/1 0/1 1 6 -0.333333 In -0.469416 -0.197251 4/1 1/1 1 6 -0.242105 In -0.319458 -0.164753 5/1 1/1 1 6 -0.194631 In -0.260389 -0.128873 6/1 0/1 1 6 -0.166667 In -0.234708 -0.098625 7/1 1/1 1 6 -0.139932 In -0.190092 -0.089772 8/1 1/1 1 6 -0.122715 In -0.167484 -0.077947 9/1 0/1 1 6 -0.111111 In -0.156472 -0.065750 10/1 1/1 1 6 -0.098497 In -0.135301 -0.061694 11/1 1/1 1 6 -0.089655 In -0.123441 -0.055869 12/1 0/1 1 6 -0.083333 In -0.117354 -0.049313 13/1 1/1 1 6 -0.076012 In -0.105029 -0.046995 14/1 1/1 1 6 -0.070638 In -0.097739 -0.043538 15/1 0/1 1 6 -0.066667 In -0.093883 -0.039450 16/1 1/1 1 6 -0.061889 In -0.085826 -0.037953 17/1 1/1 1 6 -0.058280 In -0.080895 -0.035665 18/1 0/1 1 6 -0.055556 In -0.078236 -0.032875 19/1 1/1 1 6 -0.052194 In -0.072559 -0.031829 20/1 1/1 1 6 -0.049604 In -0.069004 -0.030204 21/1 0/1 1 6 -0.047619 In -0.067059 -0.028179 22/1 1/1 1 6 -0.045126 In -0.062845 -0.027406 23/1 1/1 1 6 -0.043177 In -0.060160 -0.026193 24/1 0/1 1 6 -0.041667 In -0.058677 -0.024656 25/1 1/1 1 6 -0.039744 In -0.055425 -0.024063 26/1 1/1 1 6 -0.038224 In -0.053326 -0.023123 27/1 0/1 1 6 -0.037037 In -0.052157 -0.021917 28/1 1/1 1 6 -0.035509 In -0.049572 -0.021447 29/1 1/1 1 6 -0.034291 In -0.047886 -0.020697 30/1 0/1 1 6 -0.033333 In -0.046942 -0.019725 31/1 1/1 1 6 -0.032090 In -0.044837 -0.019344 32/1 1/1 1 6 -0.031092 In -0.043453 -0.018731 33/1 0/1 1 6 -0.030303 In -0.042674 -0.017932 34/1 1/1 1 6 -0.029272 In -0.040928 -0.017616 35/1 1/1 1 6 -0.028439 In -0.039772 -0.017107 36/1 0/1 1 6 -0.027778 In -0.039118 -0.016438 37/1 1/1 1 6 -0.026909 In -0.037645 -0.016172 38/1 1/1 1 6 -0.026203 In -0.036665 -0.015742 39/1 0/1 1 6 -0.025641 In -0.036109 -0.015173 40/1 1/1 1 6 -0.024898 In -0.034851 -0.014946 41/1 1/1 1 6 -0.024294 In -0.034009 -0.014578 42/1 0/1 1 6 -0.023810 In -0.033530 -0.014089 43/1 1/1 1 6 -0.023168 In -0.032442 -0.013894 44/1 1/1 1 6 -0.022643 In -0.031711 -0.013575 45/1 0/1 1 6 -0.022222 In -0.031294 -0.013150 46/1 1/1 1 6 -0.021662 In -0.030345 -0.012979 47/1 1/1 1 6 -0.021203 In -0.029705 -0.012701 48/1 0/1 1 6 -0.020833 In -0.029339 -0.012328 49/1 1/1 1 6 -0.020340 In -0.028502 -0.012178 50/1 1/1 1 6 -0.019935 In -0.027937 -0.011932 -49/2 1/1 2 3 0.041105 In 0.023757 0.058454 -47/2 1/1 2 3 0.042868 In 0.024751 0.060985 -45/2 0/1 2 3 0.044444 In 0.026300 0.062589 -43/2 1/1 2 3 0.046889 In 0.027010 0.066768 -41/2 1/1 2 3 0.049197 In 0.028302 0.070091 -39/2 0/1 2 3 0.051282 In 0.030346 0.072218 -37/2 1/1 2 3 0.054568 In 0.031296 0.077839 -35/2 1/1 2 3 0.057718 In 0.033044 0.082393 -33/2 0/1 2 3 0.060606 In 0.035864 0.085348 -31/2 1/1 2 3 0.065255 In 0.037198 0.093312 -29/2 1/1 2 3 0.069814 In 0.039693 0.099934 -27/2 0/1 2 3 0.074074 In 0.043833 0.104315 -25/2 1/1 2 3 0.081153 In 0.045843 0.116464 -23/2 1/1 2 3 0.088328 In 0.049693 0.126964 -21/2 0/1 2 3 0.095238 In 0.056357 0.134119 -19/2 1/1 2 3 0.107308 In 0.059723 0.154893 -17/2 1/1 2 3 0.120231 In 0.066427 0.174035 -15/2 0/1 2 3 0.133333 In 0.078900 0.187766 -13/2 1/1 2 3 0.158416 In 0.085659 0.231173 -11/2 1/1 2 3 0.188366 In 0.100157 0.276574 -9/2 0/1 2 3 0.222222 In 0.131500 0.312944 -7/2 1/1 2 3 0.303448 In 0.151411 0.455486 -5/2 1/1 2 3 0.438356 In 0.203474 0.673239 -3/2 0/1 2 3 0.666667 In 0.394501 0.938832 -1/2 1/1 2 3 8.000000 In 0.651531 15.348469 1/2 1/1 2 3 -4.000000 In -6.449490 -1.550510 3/2 0/1 2 3 -0.666667 In -0.938832 -0.394501 5/2 1/1 2 3 -0.383562 In -0.484226 -0.282898 7/2 1/1 2 3 -0.275862 In -0.360327 -0.191397 9/2 0/1 2 3 -0.222222 In -0.312944 -0.131500 11/2 1/1 2 3 -0.177285 In -0.238353 -0.116218 13/2 1/1 2 3 -0.150495 In -0.203850 -0.097140 15/2 0/1 2 3 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2 6 0.068538 In 0.041395 0.095680 -43/3 1/0 2 6 0.069780 In 0.068843 0.070717 -41/3 1/0 2 6 0.073185 In 0.072155 0.074216 -40/3 1/2 2 6 0.075432 In 0.045476 0.105389 -38/3 1/2 2 6 0.079427 In 0.047834 0.111021 -37/3 1/0 2 6 0.081101 In 0.079835 0.082366 -35/3 1/2 2 6 0.086282 In 0.051867 0.120697 -34/3 1/0 2 6 0.088261 In 0.086762 0.089759 -32/3 1/0 2 6 0.093781 In 0.092089 0.095473 -31/3 1/2 2 6 0.097502 In 0.058437 0.136566 -29/3 1/2 2 6 0.104282 In 0.062389 0.146176 -28/3 1/0 2 6 0.107188 In 0.104978 0.109399 -26/3 1/2 2 6 0.116428 In 0.069431 0.163425 -25/3 1/0 2 6 0.120064 In 0.117291 0.122837 -23/3 1/0 2 6 0.130517 In 0.127241 0.133793 -22/3 1/2 2 6 0.137836 In 0.081732 0.193940 -20/3 1/2 2 6 0.151793 In 0.089676 0.213910 -19/3 1/0 2 6 0.158041 In 0.153238 0.162843 -17/3 1/2 2 6 0.178984 In 0.104982 0.252986 -16/3 1/0 2 6 0.187744 In 0.180970 0.194519 -14/3 1/0 2 6 0.214651 In 0.205799 0.223503 -13/3 1/2 2 6 0.235178 In 0.135910 0.334446 -11/3 1/2 2 6 0.279006 In 0.159389 0.398622 -10/3 1/0 2 6 0.301003 In 0.283625 0.318382 -8/3 1/2 2 6 0.387435 In 0.215136 0.559733 -7/3 1/0 2 6 0.431507 In 0.395917 0.467097 -5/3 1/0 2 6 0.608108 In 0.537890 0.678326 -4/3 1/2 2 6 0.808511 In 0.403137 1.213884 -2/3 1/2 2 6 1.818182 In 0.715968 2.920396 -1/3 1/0 2 6 4.500000 In 1.901924 7.098076 1/3 1/2 2 6 -3.500000 In -4.366025 -2.633975 2/3 1/0 2 6 -1.636364 In -2.108741 -1.163986 4/3 1/0 2 6 -0.765957 In -0.876514 -0.655401 5/3 1/2 2 6 -0.581081 In -0.744924 -0.417238 7/3 1/2 2 6 -0.417808 In -0.548305 -0.287311 8/3 1/0 2 6 -0.376963 In -0.404168 -0.349758 10/3 1/2 2 6 -0.294314 In -0.392792 -0.195837 11/3 1/0 2 6 -0.273481 In -0.287835 -0.259127 13/3 1/0 2 6 -0.231225 In -0.241494 -0.220956 14/3 1/2 2 6 -0.211244 In -0.285011 -0.137477 16/3 1/2 2 6 -0.185137 In -0.250625 -0.119649 17/3 1/0 2 6 -0.176674 In -0.182675 -0.170674 19/3 1/2 2 6 -0.156192 In -0.212220 -0.100165 20/3 1/0 2 6 -0.150125 In -0.154459 -0.145791 22/3 1/0 2 6 -0.136458 In -0.140039 -0.132877 23/3 1/2 2 6 -0.129256 In -0.176216 -0.082296 25/3 1/2 2 6 -0.118997 In -0.162437 -0.075557 26/3 1/0 2 6 -0.115442 In -0.118005 -0.112878 28/3 1/2 2 6 -0.106338 In -0.145384 -0.067291 29/3 1/0 2 6 -0.103489 In -0.105550 -0.101429 31/3 1/0 2 6 -0.096808 In -0.098611 -0.095005 32/3 1/2 2 6 -0.093129 In -0.127533 -0.058725 34/3 1/2 2 6 -0.087684 In -0.120157 -0.055211 35/3 1/0 2 6 -0.085738 In -0.087152 -0.084323 37/3 1/2 2 6 -0.080614 In -0.110564 -0.050664 38/3 1/0 2 6 -0.078966 In -0.080165 -0.077766 40/3 1/0 2 6 -0.075016 In -0.076098 -0.073933 41/3 1/2 2 6 -0.072789 In -0.099927 -0.045650 43/3 1/2 2 6 -0.069419 In -0.095341 -0.043498 44/3 1/0 2 6 -0.068194 In -0.069088 -0.067299 46/3 1/2 2 6 -0.064913 In -0.089200 -0.040625 47/3 1/0 2 6 -0.063839 In -0.064624 -0.063055 49/3 1/0 2 6 -0.061233 In -0.061954 -0.060512 50/3 1/2 2 6 -0.059741 In -0.082145 -0.037337 -49/4 0 3 -47/4 0 3 -45/4 0/1 4 3 0.088889 In 0.063229 0.114549 -43/4 0 3 -41/4 0 3 -39/4 0/1 4 3 0.102564 In 0.072956 0.132172 -37/4 0 3 -35/4 0 3 -33/4 0/1 4 3 0.121212 In 0.086221 0.156203 -31/4 0 3 -29/4 0 3 -27/4 0/1 4 3 0.148148 In 0.105381 0.190915 -25/4 0 3 -23/4 0 3 -21/4 0/1 4 3 0.190476 In 0.135490 0.245462 -19/4 0 3 -17/4 0 3 -15/4 0/1 4 3 0.266667 In 0.189687 0.343647 -13/4 0 3 -11/4 0 3 -9/4 0/1 4 3 0.444444 In 0.316144 0.572745 -7/4 0 3 -5/4 0 3 -3/4 0/1 4 3 1.333333 In 0.948433 1.718234 -1/4 0 3 1/4 0 3 3/4 0/1 4 3 -1.333333 In -1.718234 -0.948433 5/4 0 3 7/4 0 3 9/4 0/1 4 3 -0.444444 In -0.572745 -0.316144 11/4 0 3 13/4 0 3 15/4 0/1 4 3 -0.266667 In -0.343647 -0.189687 17/4 0 3 19/4 0 3 21/4 0/1 4 3 -0.190476 In -0.245462 -0.135490 23/4 0 3 25/4 0 3 27/4 0/1 4 3 -0.148148 In -0.190915 -0.105381 29/4 0 3 31/4 0 3 33/4 0/1 4 3 -0.121212 In -0.156203 -0.086221 35/4 0 3 37/4 0 3 39/4 0/1 4 3 -0.102564 In -0.132172 -0.072956 41/4 0 3 43/4 0 3 45/4 0/1 4 3 -0.088889 In -0.114549 -0.063229 47/4 0 3 49/4 0 3 -49/5 -1/1 1 6 0.101978 In 0.094497 0.109460 -48/5 2/3 1 6 0.104631 In 0.077336 0.131926 -47/5 1/1 1 6 0.106466 In 0.096856 0.116077 -46/5 1/1 1 6 0.108783 In 0.098943 0.118623 -44/5 1/1 1 6 0.113732 In 0.103399 0.124066 -43/5 1/1 1 6 0.116380 In 0.105781 0.126979 -42/5 2/1 1 6 0.119282 In 0.107243 0.131321 -41/5 1/3 1 6 0.122261 In 0.091172 0.153350 -39/5 0/1 1 6 0.128205 In 0.117737 0.138673 -38/5 -1/1 1 6 0.131479 In 0.122148 0.140810 -37/5 1/3 1 6 0.135517 In 0.100920 0.170113 -36/5 0/1 1 6 0.138889 In 0.127549 0.150229 -34/5 -1/1 1 6 0.146936 In 0.136693 0.157179 -33/5 2/3 1 6 0.152527 In 0.111639 0.193414 -32/5 1/1 1 6 0.156438 In 0.141685 0.171192 -31/5 1/1 1 6 0.161492 In 0.146196 0.176788 -29/5 1/1 1 6 0.172646 In 0.156138 0.189154 -28/5 1/1 1 6 0.178822 In 0.161634 0.196010 -27/5 2/1 1 6 0.185812 In 0.165073 0.206552 -26/5 1/3 1 6 0.193095 In 0.142957 0.243232 -24/5 0/1 1 6 0.208333 In 0.191323 0.225344 -23/5 -1/1 1 6 0.217145 In 0.203249 0.231040 -22/5 1/3 1 6 0.228384 In 0.168476 0.288293 -21/5 0/1 1 6 0.238095 In 0.218655 0.257536 -19/5 -1/1 1 6 0.262818 In 0.246978 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