SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 -19/1 1 19 0.055556 Out 0.042810 0.068301 -50/1 -950/51 1 19 0.055556 Out 0.047399 0.063713 -49/1 -931/50 1 19 0.055556 Out 0.047492 0.063619 -48/1 -912/49 1 19 0.055556 Out 0.047590 0.063521 -47/1 -893/48 1 19 0.055556 Out 0.047691 0.063420 -46/1 -874/47 1 19 0.055556 Out 0.047798 0.063314 -45/1 -855/46 1 19 0.055556 Out 0.047908 0.063203 -44/1 -836/45 1 19 0.055556 Out 0.048024 0.063087 -43/1 -817/44 1 19 0.055556 Out 0.048145 0.062966 -42/1 -798/43 1 19 0.055556 Out 0.048273 0.062839 -41/1 -779/42 1 19 0.055556 Out 0.048406 0.062705 -40/1 -760/41 1 19 0.055556 Out 0.048546 0.062565 -39/1 -741/40 1 19 0.055556 Out 0.048693 0.062418 -38/1 -722/39 1 19 0.055556 Out 0.048847 0.062264 -37/1 -37/2 19 1 0.055556 Out 0.049011 0.062100 -36/1 -684/37 1 19 0.055556 Out 0.049183 0.061928 -35/1 -665/36 1 19 0.055556 Out 0.049365 0.061746 -34/1 -646/35 1 19 0.055556 Out 0.049558 0.061553 -33/1 -627/34 1 19 0.055556 Out 0.049762 0.061349 -32/1 -608/33 1 19 0.055556 Out 0.049979 0.061132 -31/1 -589/32 1 19 0.055556 Out 0.050211 0.060900 -30/1 -570/31 1 19 0.055556 Out 0.050457 0.060654 -29/1 -551/30 1 19 0.055556 Out 0.050721 0.060390 -28/1 -532/29 1 19 0.055556 Out 0.051004 0.060107 -27/1 -513/28 1 19 0.055556 Out 0.051307 0.059804 -26/1 -494/27 1 19 0.055556 Out 0.051634 0.059477 -25/1 -475/26 1 19 0.055556 Out 0.051987 0.059124 -24/1 -456/25 1 19 0.055556 Out 0.052369 0.058742 -23/1 -437/24 1 19 0.055556 Out 0.052785 0.058326 -22/1 -418/23 1 19 0.055556 Out 0.053238 0.057873 -21/1 -399/22 1 19 0.055556 Out 0.053735 0.057376 -20/1 -380/21 1 19 0.055556 Out 0.054281 0.056830 -19/1 -361/20 1 19 0.055556 Out 0.054885 0.056226 -18/1 -18/1 19 1 -17/1 -323/18 1 19 0.055556 Out 0.054806 0.056305 -16/1 -304/17 1 19 0.055556 Out 0.053962 0.057149 -15/1 -285/16 1 19 0.055556 Out 0.053006 0.058105 -14/1 -266/15 1 19 0.055556 Out 0.051914 0.059197 -13/1 -247/14 1 19 0.055556 Out 0.050654 0.060458 -12/1 -228/13 1 19 0.055556 Out 0.049183 0.061928 -11/1 -209/12 1 19 0.055556 Out 0.047445 0.063666 -10/1 -190/11 1 19 0.055556 Out 0.045359 0.065752 -9/1 -171/10 1 19 0.055556 Out 0.042810 0.068301 -8/1 -152/9 1 19 0.055556 Out 0.039624 0.071487 -7/1 -133/8 1 19 0.055556 Out 0.035527 0.075584 -6/1 -114/7 1 19 0.055556 Out 0.030065 0.081046 -5/1 -95/6 1 19 0.055556 Out 0.022418 0.088693 -4/1 -76/5 1 19 0.055556 Out 0.010947 0.100164 -3/1 -57/4 1 19 0.055556 Out -0.008171 0.119282 -2/1 -38/3 1 19 0.055556 Out -0.046407 0.157518 -1/1 -19/2 1 19 0.055556 Out -0.161115 0.272226 0/1 0/1 1 19 1/1 1/0 19 1 0.055556 Out -0.186605 0.297717 2/1 -38/1 1 19 0.055556 Out -0.071898 0.183009 3/1 -57/2 1 19 0.055556 Out -0.033662 0.144773 4/1 -76/3 1 19 0.055556 Out -0.014544 0.125655 5/1 -95/4 1 19 0.055556 Out -0.003073 0.114184 6/1 -114/5 1 19 0.055556 Out 0.004574 0.106537 7/1 -133/6 1 19 0.055556 Out 0.010037 0.101075 8/1 -152/7 1 19 0.055556 Out 0.014133 0.096978 9/1 -171/8 1 19 0.055556 Out 0.017320 0.093792 10/1 -190/9 1 19 0.055556 Out 0.019869 0.091242 11/1 -209/10 1 19 0.055556 Out 0.021954 0.089157 12/1 -228/11 1 19 0.055556 Out 0.023692 0.087419 13/1 -247/12 1 19 0.055556 Out 0.025163 0.085948 14/1 -266/13 1 19 0.055556 Out 0.026423 0.084688 15/1 -285/14 1 19 0.055556 Out 0.027516 0.083595 16/1 -304/15 1 19 0.055556 Out 0.028472 0.082639 17/1 -323/16 1 19 0.055556 Out 0.029315 0.081796 18/1 -342/17 1 19 0.055556 Out 0.030065 0.081046 19/1 -361/18 1 19 0.055556 Out 0.030736 0.080375 20/1 -20/1 19 1 0.055556 Out 0.031339 0.079772 21/1 -399/20 1 19 0.055556 Out 0.031886 0.079225 22/1 -418/21 1 19 0.055556 Out 0.032382 0.078729 23/1 -437/22 1 19 0.055556 Out 0.032836 0.078275 24/1 -456/23 1 19 0.055556 Out 0.033251 0.077860 25/1 -475/24 1 19 0.055556 Out 0.033634 0.077478 26/1 -494/25 1 19 0.055556 Out 0.033987 0.077125 27/1 -513/26 1 19 0.055556 Out 0.034313 0.076798 28/1 -532/27 1 19 0.055556 Out 0.034617 0.076494 29/1 -551/28 1 19 0.055556 Out 0.034899 0.076212 30/1 -570/29 1 19 0.055556 Out 0.035163 0.075948 31/1 -589/30 1 19 0.055556 Out 0.035410 0.075701 32/1 -608/31 1 19 0.055556 Out 0.035641 0.075470 33/1 -627/32 1 19 0.055556 Out 0.035858 0.075253 34/1 -646/33 1 19 0.055556 Out 0.036063 0.075048 35/1 -665/34 1 19 0.055556 Out 0.036256 0.074856 36/1 -684/35 1 19 0.055556 Out 0.036438 0.074674 37/1 -703/36 1 19 0.055556 Out 0.036610 0.074501 38/1 -722/37 1 19 0.055556 Out 0.036773 0.074338 39/1 -39/2 19 1 0.055556 Out 0.036928 0.074183 40/1 -760/39 1 19 0.055556 Out 0.037075 0.074036 41/1 -779/40 1 19 0.055556 Out 0.037215 0.073896 42/1 -798/41 1 19 0.055556 Out 0.037348 0.073763 43/1 -817/42 1 19 0.055556 Out 0.037475 0.073636 44/1 -836/43 1 19 0.055556 Out 0.037596 0.073515 45/1 -855/44 1 19 0.055556 Out 0.037712 0.073399 46/1 -874/45 1 19 0.055556 Out 0.037823 0.073288 47/1 -893/46 1 19 0.055556 Out 0.037929 0.073182 48/1 -912/47 1 19 0.055556 Out 0.038031 0.073080 49/1 -931/48 1 19 0.055556 Out 0.038128 0.072983 50/1 -950/49 1 19 0.055556 Out 0.038222 0.072889 -49/2 -931/51 1 19 0.055556 Out 0.052174 0.058937 -47/2 -893/49 1 19 0.055556 Out 0.052573 0.058539 -45/2 -855/47 1 19 0.055556 Out 0.053006 0.058105 -43/2 -817/45 1 19 0.055556 Out 0.053481 0.057630 -41/2 -779/43 1 19 0.055556 Out 0.054001 0.057110 -39/2 -741/41 1 19 0.055556 Out 0.054575 0.056536 -37/2 -703/39 1 19 0.055556 Out 0.055211 0.055900 -35/2 -665/37 1 19 0.055556 Out 0.055191 0.055920 -33/2 -627/35 1 19 0.055556 Out 0.054397 0.056714 -31/2 -589/33 1 19 0.055556 Out 0.053500 0.057611 -29/2 -551/31 1 19 0.055556 Out 0.052479 0.058632 -27/2 -513/29 1 19 0.055556 Out 0.051307 0.059804 -25/2 -475/27 1 19 0.055556 Out 0.049948 0.061163 -23/2 -437/25 1 19 0.055556 Out 0.048352 0.062759 -21/2 -399/23 1 19 0.055556 Out 0.046452 0.064659 -19/2 -361/21 1 19 0.055556 Out 0.044152 0.066959 -17/2 -17/1 19 1 0.055556 Out 0.041311 0.069800 -15/2 -285/17 1 19 0.055556 Out 0.037712 0.073399 -13/2 -247/15 1 19 0.055556 Out 0.033006 0.078105 -11/2 -209/13 1 19 0.055556 Out 0.026589 0.084522 -9/2 -171/11 1 19 0.055556 Out 0.017320 0.093792 -7/2 -133/9 1 19 0.055556 Out 0.002754 0.108358 -5/2 -95/7 1 19 0.055556 Out -0.023465 0.134577 -3/2 -57/5 1 19 0.055556 Out -0.084643 0.195754 -1/2 -19/3 1 19 0.055556 Out -0.390531 0.501642 1/2 19/1 1 19 0.055556 Out -0.416021 0.527132 3/2 -57/1 1 19 0.055556 Out -0.110134 0.221245 5/2 -95/3 1 19 0.055556 Out -0.048956 0.160067 7/2 -133/5 1 19 0.055556 Out -0.022737 0.133848 9/2 -171/7 1 19 0.055556 Out -0.008171 0.119282 11/2 -209/9 1 19 0.055556 Out 0.001098 0.110013 13/2 -247/11 1 19 0.055556 Out 0.007516 0.103596 15/2 -285/13 1 19 0.055556 Out 0.012221 0.098890 17/2 -323/15 1 19 0.055556 Out 0.015820 0.095291 19/2 -361/17 1 19 0.055556 Out 0.018661 0.092450 21/2 -21/1 19 1 0.055556 Out 0.020961 0.090150 23/2 -437/21 1 19 0.055556 Out 0.022861 0.088250 25/2 -475/23 1 19 0.055556 Out 0.024457 0.086654 27/2 -513/25 1 19 0.055556 Out 0.025816 0.085295 29/2 -551/27 1 19 0.055556 Out 0.026988 0.084123 31/2 -589/29 1 19 0.055556 Out 0.028009 0.083102 33/2 -627/31 1 19 0.055556 Out 0.028906 0.082205 35/2 -665/33 1 19 0.055556 Out 0.029701 0.081410 37/2 -703/35 1 19 0.055556 Out 0.030409 0.080702 39/2 -741/37 1 19 0.055556 Out 0.031045 0.080066 41/2 -779/39 1 19 0.055556 Out 0.031619 0.079492 43/2 -817/41 1 19 0.055556 Out 0.032140 0.078971 45/2 -855/43 1 19 0.055556 Out 0.032614 0.078497 47/2 -893/45 1 19 0.055556 Out 0.033048 0.078063 49/2 -931/47 1 19 0.055556 Out 0.033446 0.077665 -50/3 -950/53 1 19 0.055556 Out 0.054536 0.056575 -49/3 -931/52 1 19 0.055556 Out 0.054255 0.056856 -47/3 -893/50 1 19 0.055556 Out 0.053657 0.057454 -46/3 -874/49 1 19 0.055556 Out 0.053339 0.057772 -44/3 -836/47 1 19 0.055556 Out 0.052659 0.058452 -43/3 -817/46 1 19 0.055556 Out 0.052295 0.058816 -41/3 -779/44 1 19 0.055556 Out 0.051514 0.059597 -40/3 -760/43 1 19 0.055556 Out 0.051095 0.060016 -38/3 -722/41 1 19 0.055556 Out 0.050189 0.060922 -37/3 -703/40 1 19 0.055556 Out 0.049700 0.061412 -35/3 -35/2 19 1 0.055556 Out 0.048637 0.062474 -34/3 -646/37 1 19 0.055556 Out 0.048058 0.063053 -32/3 -608/35 1 19 0.055556 Out 0.046793 0.064318 -31/3 -589/34 1 19 0.055556 Out 0.046099 0.065012 -29/3 -551/32 1 19 0.055556 Out 0.044568 0.066543 -28/3 -532/31 1 19 0.055556 Out 0.043721 0.067390 -26/3 -494/29 1 19 0.055556 Out 0.041830 0.069281 -25/3 -475/28 1 19 0.055556 Out 0.040771 0.070340 -23/3 -437/26 1 19 0.055556 Out 0.038377 0.072734 -22/3 -418/25 1 19 0.055556 Out 0.037017 0.074094 -20/3 -380/23 1 19 0.055556 Out 0.033889 0.077223 -19/3 -361/22 1 19 0.055556 Out 0.032077 0.079034 -17/3 -323/20 1 19 0.055556 Out 0.027816 0.083295 -16/3 -16/1 19 1 0.055556 Out 0.025285 0.085826 -14/3 -266/17 1 19 0.055556 Out 0.019140 0.091971 -13/3 -247/16 1 19 0.055556 Out 0.015359 0.095752 -11/3 -209/14 1 19 0.055556 Out 0.005733 0.105378 -10/3 -190/13 1 19 0.055556 Out -0.000524 0.111635 -8/3 -152/11 1 19 0.055556 Out -0.017730 0.128841 -7/3 -133/10 1 19 0.055556 Out -0.030020 0.141131 -5/3 -95/8 1 19 0.055556 Out -0.069349 0.180460 -4/3 -76/7 1 19 0.055556 Out -0.103761 0.214872 -2/3 -38/5 1 19 0.055556 Out -0.275823 0.386934 -1/3 -19/4 1 19 0.055556 Out -0.619946 0.731057 1/3 19/2 1 19 0.055556 Out -0.645437 0.756548 2/3 38/1 1 19 0.055556 Out -0.301313 0.412424 4/3 -76/1 1 19 0.055556 Out -0.129252 0.240363 5/3 -95/2 1 19 0.055556 Out -0.094839 0.205950 7/3 -133/4 1 19 0.055556 Out -0.055511 0.166622 8/3 -152/5 1 19 0.055556 Out -0.043221 0.154332 10/3 -190/7 1 19 0.055556 Out -0.026014 0.137126 11/3 -209/8 1 19 0.055556 Out -0.019758 0.130869 13/3 -247/10 1 19 0.055556 Out -0.010132 0.121243 14/3 -266/11 1 19 0.055556 Out -0.006350 0.117461 16/3 -304/13 1 19 0.055556 Out -0.000205 0.111316 17/3 -323/14 1 19 0.055556 Out 0.002325 0.108786 19/3 -361/16 1 19 0.055556 Out 0.006587 0.104524 20/3 -380/17 1 19 0.055556 Out 0.008398 0.102713 22/3 -22/1 19 1 0.055556 Out 0.011526 0.099585 23/3 -437/20 1 19 0.055556 Out 0.012886 0.098225 25/3 -475/22 1 19 0.055556 Out 0.015280 0.095831 26/3 -494/23 1 19 0.055556 Out 0.016339 0.094772 28/3 -532/25 1 19 0.055556 Out 0.018230 0.092881 29/3 -551/26 1 19 0.055556 Out 0.019078 0.092034 31/3 -589/28 1 19 0.055556 Out 0.020609 0.090502 32/3 -608/29 1 19 0.055556 Out 0.021303 0.089809 34/3 -646/31 1 19 0.055556 Out 0.022568 0.088543 35/3 -665/32 1 19 0.055556 Out 0.023146 0.087965 37/3 -703/34 1 19 0.055556 Out 0.024209 0.086902 38/3 -722/35 1 19 0.055556 Out 0.024698 0.086413 40/3 -760/37 1 19 0.055556 Out 0.025604 0.085507 41/3 -41/2 19 1 0.055556 Out 0.026024 0.085087 43/3 -817/40 1 19 0.055556 Out 0.026804 0.084307 44/3 -836/41 1 19 0.055556 Out 0.027168 0.083943 46/3 -874/43 1 19 0.055556 Out 0.027848 0.083263 47/3 -893/44 1 19 0.055556 Out 0.028167 0.082944 49/3 -931/46 1 19 0.055556 Out 0.028764 0.082347 50/3 -950/47 1 19 0.055556 Out 0.029045 0.082066 -49/4 -931/53 1 19 0.055556 Out 0.049573 0.061538 -47/4 -893/51 1 19 0.055556 Out 0.048776 0.062335 -45/4 -855/49 1 19 0.055556 Out 0.047908 0.063203 -43/4 -817/47 1 19 0.055556 Out 0.046960 0.064151 -41/4 -779/45 1 19 0.055556 Out 0.045919 0.065192 -39/4 -741/43 1 19 0.055556 Out 0.044771 0.066340 -37/4 -703/41 1 19 0.055556 Out 0.043499 0.067612 -35/4 -665/39 1 19 0.055556 Out 0.042082 0.069029 -33/4 -627/37 1 19 0.055556 Out 0.040493 0.070618 -31/4 -589/35 1 19 0.055556 Out 0.038699 0.072412 -29/4 -551/33 1 19 0.055556 Out 0.036657 0.074454 -27/4 -513/31 1 19 0.055556 Out 0.034313 0.076798 -25/4 -475/29 1 19 0.055556 Out 0.031594 0.079517 -23/4 -437/27 1 19 0.055556 Out 0.028402 0.082709 -21/4 -399/25 1 19 0.055556 Out 0.024603 0.086508 -19/4 -361/23 1 19 0.055556 Out 0.020003 0.091108 -17/4 -323/21 1 19 0.055556 Out 0.014321 0.096790 -15/4 -15/1 19 1 0.055556 Out 0.007123 0.103988 -13/4 -247/17 1 19 0.055556 Out -0.002289 0.113400 -11/4 -209/15 1 19 0.055556 Out -0.015123 0.126234 -9/4 -171/13 1 19 0.055556 Out -0.033662 0.144773 -7/4 -133/11 1 19 0.055556 Out -0.062794 0.173905 -5/4 -95/9 1 19 0.055556 Out -0.115232 0.226343 -3/4 -57/7 1 19 0.055556 Out -0.237587 0.348698 -1/4 -19/5 1 19 0.055556 Out -0.849362 0.960473 1/4 19/3 1 19 0.055556 Out -0.874853 0.985964 3/4 57/1 1 19 0.055556 Out -0.263077 0.374189 5/4 -95/1 1 19 0.055556 Out -0.140722 0.251833 7/4 -133/3 1 19 0.055556 Out -0.088284 0.199396 9/4 -171/5 1 19 0.055556 Out -0.059152 0.170263 11/4 -209/7 1 19 0.055556 Out -0.040614 0.151725 13/4 -247/9 1 19 0.055556 Out -0.027779 0.138890 15/4 -285/11 1 19 0.055556 Out -0.018367 0.129478 17/4 -323/13 1 19 0.055556 Out -0.011170 0.122281 19/4 -361/15 1 19 0.055556 Out -0.005488 0.116599 21/4 -399/17 1 19 0.055556 Out -0.000888 0.111999 23/4 -23/1 19 1 0.055556 Out 0.002912 0.108199 25/4 -475/21 1 19 0.055556 Out 0.006104 0.105007 27/4 -513/23 1 19 0.055556 Out 0.008823 0.102288 29/4 -551/25 1 19 0.055556 Out 0.011167 0.099944 31/4 -589/27 1 19 0.055556 Out 0.013208 0.097903 33/4 -627/29 1 19 0.055556 Out 0.015002 0.096109 35/4 -665/31 1 19 0.055556 Out 0.016591 0.094520 37/4 -703/33 1 19 0.055556 Out 0.018009 0.093103 39/4 -741/35 1 19 0.055556 Out 0.019280 0.091831 41/4 -779/37 1 19 0.055556 Out 0.020428 0.090683 43/4 -817/39 1 19 0.055556 Out 0.021469 0.089642 45/4 -855/41 1 19 0.055556 Out 0.022418 0.088693 47/4 -893/43 1 19 0.055556 Out 0.023285 0.087826 49/4 -931/45 1 19 0.055556 Out 0.024082 0.087029 -49/5 -931/54 1 19 0.055556 Out 0.044891 0.066220 -48/5 -912/53 1 19 0.055556 Out 0.044403 0.066708 -47/5 -893/52 1 19 0.055556 Out 0.043895 0.067216 -46/5 -874/51 1 19 0.055556 Out 0.043364 0.067747 -44/5 -836/49 1 19 0.055556 Out 0.042231 0.068880 -43/5 -817/48 1 19 0.055556 Out 0.041625 0.069486 -42/5 -798/47 1 19 0.055556 Out 0.040989 0.070122 -41/5 -779/46 1 19 0.055556 Out 0.040323 0.070788 -39/5 -741/44 1 19 0.055556 Out 0.038889 0.072223 -38/5 -722/43 1 19 0.055556 Out 0.038115 0.072997 -37/5 -703/42 1 19 0.055556 Out 0.037299 0.073812 -36/5 -684/41 1 19 0.055556 Out 0.036438 0.074674 -34/5 -646/39 1 19 0.055556 Out 0.034563 0.076548 -33/5 -33/2 19 1 0.055556 Out 0.033541 0.077570 -32/5 -608/37 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