SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 5 -50/1 0/1 1 5 0.020000 In 0.011056 0.028944 -49/1 1/1 1 5 0.020493 In 0.011179 0.029807 -48/1 0/1 1 5 0.020833 In 0.011516 0.030150 -47/1 0/1 1 5 0.021277 In 0.011761 0.030792 -46/1 0/1 3 5 0.021739 In 0.004900 0.038578 -45/1 1/2 1 5 0.022422 In 0.002323 0.042521 -44/1 0/1 1 5 0.022727 In 0.012563 0.032891 -43/1 1/2 1 5 0.023475 In 0.002430 0.044519 -42/1 0 5 -41/1 1/1 3 5 0.024756 In 0.005396 0.044116 -40/1 0/1 1 5 0.025000 In 0.013820 0.036180 -39/1 1/1 1 5 0.025776 In 0.014013 0.037538 -38/1 0/1 1 5 0.026316 In 0.014547 0.038085 -37/1 0/1 1 5 0.027027 In 0.014940 0.039114 -36/1 0/1 3 5 0.027778 In 0.006261 0.049294 -35/1 1/2 1 5 0.028903 In 0.002978 0.054827 -34/1 0/1 1 5 0.029412 In 0.016258 0.042565 -33/1 1/2 1 5 0.030676 In 0.003156 0.058196 -32/1 0 5 -31/1 1/1 3 5 0.032903 In 0.007094 0.058712 -30/1 0/1 1 5 0.033333 In 0.018426 0.048240 -29/1 1/1 1 5 0.034729 In 0.018772 0.050686 -28/1 0/1 1 5 0.035714 In 0.019742 0.051686 -27/1 0/1 1 5 0.037037 In 0.020474 0.053601 -26/1 0/1 3 5 0.038462 In 0.008669 0.068254 -25/1 1/2 1 5 0.040653 In 0.004149 0.077157 -24/1 0/1 1 5 0.041667 In 0.023033 0.060301 -23/1 1/2 1 5 0.044251 In 0.004503 0.084000 -22/1 0 5 -21/1 1/1 3 5 0.049046 In 0.010352 0.087741 -20/1 0/1 1 5 0.050000 In 0.027639 0.072361 -19/1 1/1 1 5 0.053215 In 0.028425 0.078005 -18/1 0/1 1 5 0.055556 In 0.030710 0.080401 -17/1 0/1 1 5 0.058824 In 0.032517 0.085130 -16/1 0/1 3 5 0.062500 In 0.014088 0.110912 -15/1 1/2 1 5 0.068505 In 0.006834 0.130176 -14/1 0/1 1 5 0.071429 In 0.039485 0.103372 -13/1 1/2 1 5 0.079384 In 0.007851 0.150917 -12/1 0 5 -11/1 1/1 3 5 0.096346 In 0.019143 0.173548 -10/1 0/1 1 5 0.100000 In 0.055279 0.144721 -9/1 1/1 1 5 0.113861 In 0.058513 0.169210 -8/1 0/1 1 5 0.125000 In 0.069098 0.180902 -7/1 0/1 1 5 0.142857 In 0.078969 0.206745 -6/1 0/1 3 5 0.166667 In 0.037567 0.295766 -5/1 1/2 1 5 0.217742 In 0.019381 0.416103 -4/1 0/1 1 5 0.250000 In 0.138197 0.361803 -3/1 1/2 1 5 0.386364 In 0.030626 0.742102 -2/1 0 5 -1/1 1/1 3 5 4.000000 In 0.127017 7.872983 0/1 0/1 1 5 1/1 1/1 1 5 2/1 0/1 1 5 -0.500000 In -0.723607 -0.276393 3/1 0/1 1 5 -0.333333 In -0.482405 -0.184262 4/1 0/1 3 5 -0.250000 In -0.443649 -0.056351 5/1 1/2 1 5 -0.185484 In -0.347779 -0.023189 6/1 0/1 1 5 -0.166667 In -0.241202 -0.092131 7/1 1/2 1 5 -0.135246 In -0.254381 -0.016111 8/1 0 5 9/1 1/1 3 5 -0.104478 In -0.181552 -0.027403 10/1 0/1 1 5 -0.100000 In -0.144721 -0.055279 11/1 1/1 1 5 -0.089404 In -0.126425 -0.052383 12/1 0/1 1 5 -0.083333 In -0.120601 -0.046066 13/1 0/1 1 5 -0.076923 In -0.111324 -0.042522 14/1 0/1 3 5 -0.071429 In -0.126757 -0.016100 15/1 1/2 1 5 -0.064947 In -0.122639 -0.007254 16/1 0/1 1 5 -0.062500 In -0.090451 -0.034549 17/1 1/2 1 5 -0.057479 In -0.108581 -0.006378 18/1 0 5 19/1 1/1 3 5 -0.051054 In -0.089741 -0.012368 20/1 0/1 1 5 -0.050000 In -0.072361 -0.027639 21/1 1/1 1 5 -0.047187 In -0.067478 -0.026896 22/1 0/1 1 5 -0.045455 In -0.065782 -0.025127 23/1 0/1 1 5 -0.043478 In -0.062922 -0.024034 24/1 0/1 3 5 -0.041667 In -0.073942 -0.009392 25/1 1/2 1 5 -0.039373 In -0.074445 -0.004300 26/1 0/1 1 5 -0.038462 In -0.055662 -0.021261 27/1 1/2 1 5 -0.036498 In -0.069021 -0.003976 28/1 0 5 29/1 1/1 3 5 -0.033793 In -0.059601 -0.007986 30/1 0/1 1 5 -0.033333 In -0.048240 -0.018426 31/1 1/1 1 5 -0.032057 In -0.046020 -0.018093 32/1 0/1 1 5 -0.031250 In -0.045225 -0.017275 33/1 0/1 1 5 -0.030303 In -0.043855 -0.016751 34/1 0/1 3 5 -0.029412 In -0.052194 -0.006630 35/1 1/2 1 5 -0.028250 In -0.053444 -0.003055 36/1 0/1 1 5 -0.027778 In -0.040200 -0.015355 37/1 1/2 1 5 -0.026739 In -0.050589 -0.002888 38/1 0 5 39/1 1/1 3 5 -0.025257 In -0.044616 -0.005897 40/1 0/1 1 5 -0.025000 In -0.036180 -0.013820 41/1 1/1 1 5 -0.024274 In -0.034917 -0.013631 42/1 0/1 1 5 -0.023810 In -0.034457 -0.013162 43/1 0/1 1 5 -0.023256 In -0.033656 -0.012855 44/1 0/1 3 5 -0.022727 In -0.040332 -0.005123 45/1 1/2 1 5 -0.022027 In -0.041684 -0.002370 46/1 0/1 1 5 -0.021739 In -0.031461 -0.012017 47/1 1/2 1 5 -0.021097 In -0.039927 -0.002268 48/1 0 5 49/1 1/1 3 5 -0.020163 In -0.035653 -0.004674 50/1 0/1 1 5 -0.020000 In -0.028944 -0.011056 -49/2 1/1 2 5 0.040990 In 0.027553 0.054426 -47/2 1/2 1 5 0.042738 In 0.023301 0.062175 -45/2 1/1 1 5 0.044548 In 0.034167 0.054928 -43/2 0 5 -41/2 1/1 1 5 0.048905 In 0.037464 0.060346 -39/2 1/1 2 5 0.051559 In 0.034506 0.068612 -37/2 1/0 1 5 0.054062 In 0.053409 0.054715 -35/2 1/1 1 5 0.057315 In 0.043806 0.070825 -33/2 0 5 -31/2 1/3 1 5 0.065154 In 0.020935 0.109373 -29/2 1/1 2 5 0.069474 In 0.046150 0.092798 -27/2 1/2 1 5 0.074643 In 0.040280 0.109007 -25/2 1/1 1 5 0.080346 In 0.061020 0.099672 -23/2 0 5 -21/2 1/1 1 5 0.095735 In 0.072400 0.119070 -19/2 1/1 2 5 0.106489 In 0.069657 0.143321 -17/2 1/0 1 5 0.117729 In 0.114631 0.120826 -15/2 1/1 1 5 0.134342 In 0.100522 0.168161 -13/2 0 5 -11/2 1/3 1 5 0.187086 In 0.057513 0.316660 -9/2 1/1 2 5 0.228288 In 0.141973 0.314603 -7/2 1/2 1 5 0.295082 In 0.148455 0.441709 -5/2 1/1 1 5 0.411290 In 0.285061 0.537520 -3/2 0 5 -1/2 1/1 1 5 2.750000 In 1.072949 4.427051 1/2 1/1 2 5 -2.666667 In -3.720759 -1.612574 3/2 1/0 1 5 -0.681818 In -0.783458 -0.580179 5/2 1/1 1 5 -0.395161 In -0.449260 -0.341063 7/2 0 5 9/2 1/3 1 5 -0.215347 In -0.353717 -0.076976 11/2 1/1 2 5 -0.179104 In -0.226303 -0.131906 13/2 1/2 1 5 -0.151659 In -0.215244 -0.088074 15/2 1/1 1 5 -0.132562 In -0.158424 -0.106700 17/2 0 5 19/2 1/1 1 5 -0.104767 In -0.125839 -0.083696 21/2 1/1 2 5 -0.094417 In -0.121690 -0.067143 23/2 1/0 1 5 -0.086989 In -0.088681 -0.085298 25/2 1/1 1 5 -0.079706 In -0.096168 -0.063243 27/2 0 5 29/2 1/3 1 5 -0.068268 In -0.113479 -0.023058 31/2 1/1 2 5 -0.064127 In -0.083220 -0.045033 33/2 1/2 1 5 -0.060250 In -0.086537 -0.033962 35/2 1/1 1 5 -0.056989 In -0.069038 -0.044940 37/2 0 5 39/2 1/1 1 5 -0.051157 In -0.062038 -0.040277 41/2 1/1 2 5 -0.048554 In -0.063231 -0.033877 43/2 1/0 1 5 -0.046517 In -0.047000 -0.046033 45/2 1/1 1 5 -0.044350 In -0.053847 -0.034853 47/2 0 5 49/2 1/3 1 5 -0.040570 In -0.067580 -0.013560 -50/3 0/1 1 5 0.060000 In 0.051056 0.068944 -49/3 1/0 1 5 0.061230 In 0.060671 0.061788 -47/3 0 5 -46/3 0 5 -44/3 2/3 1 5 0.068830 In 0.036939 0.100721 -43/3 1/1 1 5 0.069883 In 0.058756 0.081010 -41/3 1/2 2 5 0.073664 In 0.041676 0.105652 -40/3 0/1 1 5 0.075000 In 0.063820 0.086180 -38/3 2/3 1 5 0.079823 In 0.042637 0.117008 -37/3 0 5 -35/3 1/2 1 5 0.086055 In 0.059400 0.112709 -34/3 2/3 1 5 0.089335 In 0.047525 0.131145 -32/3 0 5 -31/3 1/0 2 5 0.096814 In 0.094839 0.098790 -29/3 1/2 1 5 0.103949 In 0.071503 0.136394 -28/3 0/1 1 5 0.107143 In 0.091171 0.123115 -26/3 0 5 -25/3 1/0 1 5 0.120038 In 0.117891 0.122186 -23/3 1/1 1 5 0.130862 In 0.108874 0.152851 -22/3 0 5 -20/3 0/1 1 5 0.150000 In 0.127639 0.172361 -19/3 1/0 1 5 0.157982 In 0.154264 0.161701 -17/3 0 5 -16/3 0 5 -14/3 2/3 1 5 0.221311 In 0.111341 0.331282 -13/3 1/1 1 5 0.232227 In 0.189838 0.274617 -11/3 1/2 2 5 0.280265 In 0.149159 0.411371 -10/3 0/1 1 5 0.300000 In 0.255279 0.344721 -8/3 2/3 1 5 0.398734 In 0.186449 0.611019 -7/3 0 5 -5/3 1/2 1 5 0.620968 In 0.386541 0.855394 -4/3 2/3 1 5 0.868421 In 0.338826 1.398016 -2/3 0 5 -1/3 1/0 2 5 5.000000 In 1.837722 8.162278 1/3 1/2 1 5 -3.250000 In -3.809017 -2.690983 2/3 0/1 1 5 -1.500000 In -1.723607 -1.276393 4/3 0 5 5/3 1/0 1 5 -0.604839 In -0.658937 -0.550740 7/3 1/1 1 5 -0.426230 In -0.462886 -0.389573 8/3 0 5 10/3 0/1 1 5 -0.300000 In -0.344721 -0.255279 11/3 1/0 1 5 -0.273179 In -0.284285 -0.262073 13/3 0 5 14/3 0 5 16/3 2/3 1 5 -0.183386 In -0.256987 -0.109785 17/3 1/1 1 5 -0.175900 In -0.197580 -0.154221 19/3 1/2 2 5 -0.155851 In -0.217238 -0.094465 20/3 0/1 1 5 -0.150000 In -0.172361 -0.127639 22/3 2/3 1 5 -0.134106 In -0.189637 -0.078574 23/3 0 5 25/3 1/2 1 5 -0.119398 In -0.153039 -0.085757 26/3 2/3 1 5 -0.113744 In -0.161433 -0.066055 28/3 0 5 29/3 1/0 2 5 -0.103498 In -0.105755 -0.101240 31/3 1/2 1 5 -0.096378 In -0.123840 -0.068916 32/3 0/1 1 5 -0.093750 In -0.107725 -0.079775 34/3 0 5 35/3 1/0 1 5 -0.085728 In -0.086824 -0.084633 37/3 1/1 1 5 -0.080947 In -0.092055 -0.069838 38/3 0 5 40/3 0/1 1 5 -0.075000 In -0.086180 -0.063820 41/3 1/0 1 5 -0.073179 In -0.073978 -0.072381 43/3 0 5 44/3 0 5 46/3 2/3 1 5 -0.064675 In -0.092583 -0.036766 47/3 1/1 1 5 -0.063745 In -0.072654 -0.054836 49/3 1/2 2 5 -0.060901 In -0.085930 -0.035873 50/3 0/1 1 5 -0.060000 In -0.068944 -0.051056 -49/4 1/2 3 5 0.082153 In 0.049238 0.115068 -47/4 1/1 1 5 0.085205 In 0.074879 0.095531 -45/4 1/1 1 5 0.088996 In 0.078174 0.099819 -43/4 2/1 1 5 0.093280 In 0.080939 0.105621 -41/4 1/0 1 5 0.097573 In 0.096508 0.098637 -39/4 1/2 3 5 0.103394 In 0.061617 0.145170 -37/4 1/1 1 5 0.108270 In 0.094875 0.121666 -35/4 1/1 1 5 0.114468 In 0.100228 0.128708 -33/4 0/1 1 5 0.121212 In 0.107660 0.134764 -31/4 1/2 1 5 0.129475 In 0.098755 0.160196 -29/4 1/0 3 5 0.138030 In 0.134343 0.141716 -27/4 1/1 1 5 0.148463 In 0.129441 0.167486 -25/4 -1/1 1 5 0.159731 In 0.144700 0.174762 -23/4 0/1 1 5 0.173913 In 0.154469 0.193357 -21/4 1/2 1 5 0.191470 In 0.144801 0.238139 -19/4 1/2 3 5 0.214206 In 0.123937 0.304476 -17/4 1/1 1 5 0.236150 In 0.203631 0.268669 -15/4 1/3 1 5 0.269573 In 0.172093 0.367053 -13/4 0/1 1 5 0.307692 In 0.273291 0.342093 -11/4 1/2 1 5 0.367550 In 0.271295 0.463804 -9/4 1/2 3 5 0.462687 In 0.250732 0.674641 -7/4 1/1 1 5 0.577869 In 0.477063 0.678675 -5/4 1/1 1 5 0.814516 In 0.652221 0.976811 -3/4 2/1 1 5 1.512195 In 0.912274 2.112116 -1/4 1/0 1 5 5.000000 In 2.763932 7.236068 1/4 1/2 3 5 -7.000000 In -10.872983 -3.127017 3/4 1/1 1 5 -1.340909 In -1.391729 -1.290089 5/4 1/1 1 5 -0.798387 In -0.816420 -0.780354 7/4 0/1 1 5 -0.571429 In -0.635316 -0.507541 9/4 1/2 1 5 -0.440594 In -0.518082 -0.363107 11/4 1/0 3 5 -0.365449 In -0.391183 -0.339714 13/4 1/1 1 5 -0.306872 In -0.330716 -0.283028 15/4 -1/1 1 5 -0.267794 In -0.305592 -0.229995 17/4 0/1 1 5 -0.235294 In -0.261601 -0.208987 19/4 1/2 1 5 -0.209534 In -0.251678 -0.167391 21/4 1/2 3 5 -0.188011 In -0.254847 -0.121175 23/4 1/1 1 5 -0.173601 In -0.189669 -0.157532 25/4 1/3 1 5 -0.159091 In -0.209911 -0.108271 27/4 0/1 1 5 -0.148148 In -0.164712 -0.131585 29/4 1/2 1 5 -0.137488 In -0.166210 -0.108766 31/4 1/2 3 5 -0.127863 In -0.174642 -0.081084 33/4 1/1 1 5 -0.121051 In -0.132962 -0.109139 35/4 1/1 1 5 -0.114141 In -0.125460 -0.102822 37/4 2/1 1 5 -0.107879 In -0.117358 -0.098400 39/4 1/0 1 5 -0.102578 In -0.103754 -0.101401 41/4 1/2 3 5 -0.096882 In -0.132837 -0.060927 43/4 1/1 1 5 -0.092925 In -0.102359 -0.083491 45/4 1/1 1 5 -0.088799 In -0.097854 -0.079743 47/4 0/1 1 5 -0.085106 In -0.094622 -0.075591 49/4 1/2 1 5 -0.081473 In -0.098983 -0.063963 -49/5 0 5 -48/5 2/3 1 5 0.104724 In 0.074822 0.134626 -47/5 1/1 1 5 0.106483 In 0.095955 0.117012 -46/5 0 5 -44/5 0 5 -43/5 1/1 1 5 0.116400 In 0.104789 0.128011 -42/5 0/1 1 5 0.119048 In 0.108400 0.129696 -41/5 0 5 -39/5 0 5 -38/5 0/1 1 5 0.131579 In 0.119810 0.143348 -37/5 1/1 1 5 0.135301 In 0.121579 0.149023 -36/5 0 5 -34/5 0 5 -33/5 1/1 1 5 0.151727 In 0.136119 0.167335 -32/5 0/1 1 5 0.156250 In 0.142275 0.170225 -31/5 0 5 -29/5 0 5 -28/5 0/1 1 5 0.178571 In 0.162600 0.194543 -27/5 1/3 1 5 0.186059 In 0.133287 0.238831 -26/5 0 5 -24/5 0 5 -23/5 1/1 1 5 0.217852 In 0.194172 0.241532 -22/5 0/1 1 5 0.227273 In 0.206945 0.247601 -21/5 0 5 -19/5 0 5 -18/5 0/1 1 5 0.277778 In 0.252933 0.302623 -17/5 1/1 1 5 0.295014 In 0.260946 0.329081 -16/5 0 5 -14/5 0 5 -13/5 1/1 1 5 0.386256 In 0.338567 0.433945 -12/5 0/1 1 5 0.416667 In 0.379399 0.453934 -11/5 0 5 -9/5 0 5 -8/5 2/3 1 5 0.651899 In 0.411309 0.892488 -7/5 1/1 1 5 0.721311 In 0.611341 0.831282 -6/5 0 5 -4/5 0 5 -3/5 1/1 1 5 1.727273 In 1.320715 2.133831 -2/5 2/1 1 5 3.250000 In 1.572949 4.927051 -1/5 0 5 1/5 0 5 2/5 2/3 1 5 -2.750000 In -3.309017 -2.190983 3/5 1/1 1 5 -1.681818 In -1.783458 -1.580179 4/5 0 5 6/5 0 5 7/5 1/1 1 5 -0.713115 In -0.731443 -0.694786 8/5 0/1 1 5 -0.625000 In -0.680902 -0.569098 9/5 0 5 11/5 0 5 12/5 0/1 1 5 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