SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 30 1 -50/1 -1530/1 1 30 0.000013 Out -0.003564 0.003591 -49/1 -1500/1 1 30 0.000014 Out -0.003635 0.003663 -48/1 -1470/1 1 30 0.000014 Out -0.003709 0.003738 -47/1 -1440/1 1 30 0.000015 Out -0.003786 0.003816 -46/1 -1410/1 1 30 0.000016 Out -0.003866 0.003897 -45/1 -1380/1 1 30 0.000016 Out -0.003950 0.003982 -44/1 -1350/1 1 30 0.000017 Out -0.004037 0.004071 -43/1 -1320/1 1 30 0.000018 Out -0.004128 0.004164 -42/1 -1290/1 1 30 0.000019 Out -0.004224 0.004261 -41/1 -1260/1 1 30 0.000020 Out -0.004324 0.004363 -40/1 -1230/1 1 30 0.000020 Out -0.004429 0.004470 -39/1 -1200/1 1 30 0.000022 Out -0.004539 0.004582 -38/1 -1170/1 1 30 0.000023 Out -0.004655 0.004700 -37/1 -1140/1 1 30 0.000024 Out -0.004777 0.004824 -36/1 -1110/1 1 30 0.000025 Out -0.004905 0.004955 -35/1 -1080/1 1 30 0.000027 Out -0.005040 0.005093 -34/1 -1050/1 1 30 0.000028 Out -0.005183 0.005240 -33/1 -1020/1 1 30 0.000030 Out -0.005335 0.005394 -32/1 -990/1 1 30 0.000032 Out -0.005495 0.005559 -31/1 -960/1 1 30 0.000034 Out -0.005666 0.005733 -30/1 -930/1 1 30 0.000036 Out -0.005847 0.005919 -29/1 -900/1 1 30 0.000038 Out -0.006041 0.006117 -28/1 -870/1 1 30 0.000041 Out -0.006248 0.006329 -27/1 -840/1 1 30 0.000044 Out -0.006469 0.006557 -26/1 -810/1 1 30 0.000047 Out -0.006707 0.006801 -25/1 -780/1 1 30 0.000051 Out -0.006962 0.007064 -24/1 -750/1 1 30 0.000055 Out -0.007238 0.007348 -23/1 -720/1 1 30 0.000060 Out -0.007537 0.007657 -22/1 -690/1 1 30 0.000065 Out -0.007862 0.007992 -21/1 -660/1 1 30 0.000071 Out -0.008215 0.008357 -20/1 -630/1 1 30 0.000078 Out -0.008603 0.008758 -19/1 -600/1 1 30 0.000086 Out -0.009028 0.009200 -18/1 -570/1 1 30 0.000095 Out -0.009498 0.009688 -17/1 -540/1 1 30 0.000106 Out -0.010019 0.010231 -16/1 -510/1 1 30 0.000119 Out -0.010600 0.010838 -15/1 -480/1 1 30 0.000134 Out -0.011254 0.011522 -14/1 -450/1 1 30 0.000153 Out -0.011993 0.012298 -13/1 -420/1 1 30 0.000175 Out -0.012836 0.013186 -12/1 -390/1 1 30 0.000203 Out -0.013807 0.014213 -11/1 -360/1 1 30 0.000238 Out -0.014937 0.015413 -10/1 -330/1 1 30 0.000283 Out -0.016267 0.016834 -9/1 -300/1 1 30 0.000343 Out -0.017859 0.018544 -8/1 -270/1 1 30 0.000423 Out -0.019795 0.020640 -7/1 -240/1 1 30 0.000534 Out -0.022202 0.023271 -6/1 -210/1 1 30 0.000697 Out -0.025276 0.026670 -5/1 -180/1 1 30 0.000948 Out -0.029337 0.031233 -4/1 -150/1 1 30 0.001362 Out -0.034953 0.037678 -3/1 -120/1 1 30 0.002123 Out -0.043230 0.047476 -2/1 -90/1 1 30 0.003759 Out -0.056641 0.064160 -1/1 -60/1 1 30 0.008403 Out -0.082117 0.098923 0/1 -30/1 1 30 0.033333 Out -0.149241 0.215908 1/1 0/1 1 30 -1.000000 In -1.182574 -0.817426 2/1 30/1 1 30 0.038462 Out -0.158157 0.235080 3/1 60/1 1 30 0.009009 Out -0.084745 0.102763 4/1 90/1 1 30 0.003937 Out -0.057879 0.065753 5/1 120/1 1 30 0.002198 Out -0.043947 0.048343 6/1 150/1 1 30 0.001401 Out -0.035421 0.038222 7/1 180/1 1 30 0.000970 Out -0.029666 0.031606 8/1 210/1 1 30 0.000711 Out -0.025519 0.026942 9/1 240/1 1 30 0.000544 Out -0.022390 0.023477 10/1 270/1 1 30 0.000429 Out -0.019944 0.020802 11/1 300/1 1 30 0.000347 Out -0.017980 0.018675 12/1 330/1 1 30 0.000287 Out -0.016368 0.016942 13/1 360/1 1 30 0.000241 Out -0.015021 0.015503 14/1 390/1 1 30 0.000205 Out -0.013879 0.014290 15/1 420/1 1 30 0.000177 Out -0.012899 0.013252 16/1 450/1 1 30 0.000154 Out -0.012048 0.012356 17/1 480/1 1 30 0.000135 Out -0.011302 0.011572 18/1 510/1 1 30 0.000120 Out -0.010643 0.010883 19/1 540/1 1 30 0.000107 Out -0.010057 0.010270 20/1 570/1 1 30 0.000096 Out -0.009532 0.009723 21/1 600/1 1 30 0.000087 Out -0.009059 0.009232 22/1 630/1 1 30 0.000078 Out -0.008631 0.008787 23/1 660/1 1 30 0.000071 Out -0.008241 0.008384 24/1 690/1 1 30 0.000065 Out -0.007885 0.008016 25/1 720/1 1 30 0.000060 Out -0.007559 0.007679 26/1 750/1 1 30 0.000055 Out -0.007258 0.007369 27/1 780/1 1 30 0.000051 Out -0.006981 0.007083 28/1 810/1 1 30 0.000047 Out -0.006724 0.006818 29/1 840/1 1 30 0.000044 Out -0.006485 0.006573 30/1 870/1 1 30 0.000041 Out -0.006262 0.006345 31/1 900/1 1 30 0.000038 Out -0.006055 0.006131 32/1 930/1 1 30 0.000036 Out -0.005860 0.005932 33/1 960/1 1 30 0.000034 Out -0.005678 0.005746 34/1 990/1 1 30 0.000032 Out -0.005507 0.005570 35/1 1020/1 1 30 0.000030 Out -0.005346 0.005405 36/1 1050/1 1 30 0.000028 Out -0.005193 0.005250 37/1 1080/1 1 30 0.000027 Out -0.005050 0.005103 38/1 1110/1 1 30 0.000025 Out -0.004914 0.004964 39/1 1140/1 1 30 0.000024 Out -0.004785 0.004833 40/1 1170/1 1 30 0.000023 Out -0.004663 0.004708 41/1 1200/1 1 30 0.000022 Out -0.004547 0.004590 42/1 1230/1 1 30 0.000021 Out -0.004436 0.004477 43/1 1260/1 1 30 0.000020 Out -0.004331 0.004370 44/1 1290/1 1 30 0.000019 Out -0.004231 0.004268 45/1 1320/1 1 30 0.000018 Out -0.004135 0.004171 46/1 1350/1 1 30 0.000017 Out -0.004043 0.004077 47/1 1380/1 1 30 0.000016 Out -0.003956 0.003988 48/1 1410/1 1 30 0.000016 Out -0.003872 0.003903 49/1 1440/1 1 30 0.000015 Out -0.003791 0.003821 50/1 1470/1 1 30 0.000014 Out -0.003714 0.003743 -49/2 -765/1 2 15 0.000053 Out -0.007098 0.007203 -47/2 -735/1 2 15 0.000057 Out -0.007385 0.007499 -45/2 -705/1 2 15 0.000062 Out -0.007696 0.007820 -43/2 -675/1 2 15 0.000068 Out -0.008035 0.008170 -41/2 -645/1 2 15 0.000074 Out -0.008405 0.008553 -39/2 -615/1 2 15 0.000082 Out -0.008810 0.008974 -37/2 -585/1 2 15 0.000090 Out -0.009257 0.009437 -35/2 -555/1 2 15 0.000100 Out -0.009751 0.009952 -33/2 -525/1 2 15 0.000112 Out -0.010301 0.010526 -31/2 -495/1 2 15 0.000126 Out -0.010917 0.011170 -29/2 -465/1 2 15 0.000143 Out -0.011612 0.011897 -27/2 -435/1 2 15 0.000163 Out -0.012400 0.012727 -25/2 -405/1 2 15 0.000188 Out -0.013304 0.013680 -23/2 -375/1 2 15 0.000220 Out -0.014350 0.014789 -21/2 -345/1 2 15 0.000259 Out -0.015574 0.016092 -19/2 -315/1 2 15 0.000311 Out -0.017026 0.017647 -17/2 -285/1 2 15 0.000379 Out -0.018777 0.019536 -15/2 -255/1 2 15 0.000474 Out -0.020929 0.021877 -13/2 -225/1 2 15 0.000608 Out -0.023639 0.024855 -11/2 -195/1 2 15 0.000808 Out -0.027155 0.028772 -9/2 -165/1 2 15 0.001127 Out -0.031900 0.034154 -7/2 -135/1 2 15 0.001680 Out -0.038654 0.042013 -5/2 -105/1 2 15 0.002768 Out -0.049035 0.054571 -3/2 -75/1 2 15 0.005398 Out -0.067040 0.077836 -1/2 -45/1 2 15 0.014870 Out -0.105941 0.135681 1/2 -15/1 2 15 0.137931 Out -0.252400 0.528262 3/2 15/1 2 15 0.190476 Out -0.279000 0.659953 5/2 45/1 2 15 0.016327 Out -0.110358 0.143011 7/2 75/1 2 15 0.005706 Out -0.068782 0.080194 9/2 105/1 2 15 0.002880 Out -0.049960 0.055720 11/2 135/1 2 15 0.001732 Out -0.039226 0.042691 13/2 165/1 2 15 0.001156 Out -0.032289 0.034600 15/2 195/1 2 15 0.000826 Out -0.027437 0.029088 17/2 225/1 2 15 0.000619 Out -0.023852 0.025090 19/2 255/1 2 15 0.000481 Out -0.021096 0.022059 21/2 285/1 2 15 0.000385 Out -0.018911 0.019681 23/2 315/1 2 15 0.000315 Out -0.017136 0.017766 25/2 345/1 2 15 0.000262 Out -0.015666 0.016190 27/2 375/1 2 15 0.000222 Out -0.014428 0.014872 29/2 405/1 2 15 0.000190 Out -0.013371 0.013752 31/2 435/1 2 15 0.000165 Out -0.012459 0.012788 33/2 465/1 2 15 0.000144 Out -0.011663 0.011951 35/2 495/1 2 15 0.000127 Out -0.010963 0.011217 37/2 525/1 2 15 0.000113 Out -0.010342 0.010568 39/2 555/1 2 15 0.000101 Out -0.009787 0.009989 41/2 585/1 2 15 0.000091 Out -0.009289 0.009471 43/2 615/1 2 15 0.000082 Out -0.008839 0.009004 45/2 645/1 2 15 0.000075 Out -0.008431 0.008581 47/2 675/1 2 15 0.000068 Out -0.008059 0.008196 49/2 705/1 2 15 0.000063 Out -0.007718 0.007844 -50/3 -530/1 3 10 0.000110 Out -0.010205 0.010425 -49/3 -520/1 3 10 0.000114 Out -0.010399 0.010628 -47/3 -500/1 3 10 0.000124 Out -0.010810 0.011057 -46/3 -490/1 3 10 0.000129 Out -0.011027 0.011285 -44/3 -470/1 3 10 0.000140 Out -0.011490 0.011770 -43/3 -460/1 3 10 0.000146 Out -0.011736 0.012028 -41/3 -440/1 3 10 0.000160 Out -0.012262 0.012581 -40/3 -430/1 3 10 0.000167 Out -0.012542 0.012876 -38/3 -410/1 3 10 0.000184 Out -0.013144 0.013512 -37/3 -400/1 3 10 0.000193 Out -0.013467 0.013853 -35/3 -380/1 3 10 0.000214 Out -0.014164 0.014592 -34/3 -370/1 3 10 0.000225 Out -0.014540 0.014991 -32/3 -350/1 3 10 0.000252 Out -0.015355 0.015859 -31/3 -340/1 3 10 0.000267 Out -0.015798 0.016332 -29/3 -320/1 3 10 0.000301 Out -0.016765 0.017368 -28/3 -310/1 3 10 0.000321 Out -0.017295 0.017936 -26/3 -290/1 3 10 0.000367 Out -0.018460 0.019194 -25/3 -280/1 3 10 0.000393 Out -0.019104 0.019891 -23/3 -260/1 3 10 0.000456 Out -0.020537 0.021448 -22/3 -250/1 3 10 0.000493 Out -0.021337 0.022322 -20/3 -230/1 3 10 0.000582 Out -0.023140 0.024303 -19/3 -220/1 3 10 0.000636 Out -0.024161 0.025432 -17/3 -200/1 3 10 0.000769 Out -0.026498 0.028035 -16/3 -190/1 3 10 0.000851 Out -0.027845 0.029548 -14/3 -170/1 3 10 0.001062 Out -0.030997 0.033121 -13/3 -160/1 3 10 0.001198 Out -0.032857 0.035253 -11/3 -140/1 3 10 0.001563 Out -0.037336 0.040462 -10/3 -130/1 3 10 0.001811 Out -0.040067 0.043689 -8/3 -110/1 3 10 0.002524 Out -0.046934 0.051982 -7/3 -100/1 3 10 0.003050 Out -0.051333 0.057432 -5/3 -80/1 3 10 0.004749 Out -0.063174 0.072673 -4/3 -70/1 3 10 0.006190 Out -0.071410 0.083790 -2/3 -50/1 3 10 0.012064 Out -0.096599 0.120728 -1/3 -40/1 3 10 0.018789 Out -0.117284 0.154862 1/3 -20/1 3 10 0.075630 Out -0.205135 0.356396 2/3 -10/1 3 10 0.346154 Out -0.327966 1.020274 4/3 10/1 3 10 0.642857 Out -0.374342 1.660056 5/3 20/1 3 10 0.094737 Out -0.222366 0.411839 7/3 40/1 3 10 0.020882 Out -0.122721 0.164484 8/3 50/1 3 10 0.013120 Out -0.100257 0.126497 10/3 70/1 3 10 0.006569 Out -0.073390 0.086529 11/3 80/1 3 10 0.005003 Out -0.064718 0.074724 13/3 100/1 3 10 0.003179 Out -0.052348 0.058706 14/3 110/1 3 10 0.002621 Out -0.047781 0.053023 16/3 130/1 3 10 0.001870 Out -0.040683 0.044422 17/3 140/1 3 10 0.001610 Out -0.037870 0.041090 19/3 160/1 3 10 0.001230 Out -0.033270 0.035729 20/3 170/1 3 10 0.001088 Out -0.031364 0.033541 22/3 190/1 3 10 0.000870 Out -0.028142 0.029881 23/3 200/1 3 10 0.000785 Out -0.026766 0.028335 25/3 220/1 3 10 0.000648 Out -0.024383 0.025679 26/3 230/1 3 10 0.000592 Out -0.023344 0.024529 28/3 250/1 3 10 0.000501 Out -0.021510 0.022512 29/3 260/1 3 10 0.000463 Out -0.020698 0.021624 31/3 280/1 3 10 0.000399 Out -0.019243 0.020041 32/3 290/1 3 10 0.000372 Out -0.018590 0.019334 34/3 310/1 3 10 0.000325 Out -0.017408 0.018059 35/3 320/1 3 10 0.000305 Out -0.016872 0.017482 37/3 340/1 3 10 0.000270 Out -0.015893 0.016433 38/3 350/1 3 10 0.000255 Out -0.015445 0.015955 40/3 370/1 3 10 0.000228 Out -0.014620 0.015076 41/3 380/1 3 10 0.000216 Out -0.014240 0.014672 43/3 400/1 3 10 0.000195 Out -0.013536 0.013926 44/3 410/1 3 10 0.000186 Out -0.013210 0.013581 46/3 430/1 3 10 0.000169 Out -0.012602 0.012939 47/3 440/1 3 10 0.000161 Out -0.012319 0.012641 49/3 460/1 3 10 0.000147 Out -0.011788 0.012083 50/3 470/1 3 10 0.000141 Out -0.011540 0.011822 -49/4 -795/2 2 15 0.000195 Out -0.013551 0.013942 -47/4 -765/2 2 15 0.000211 Out -0.014073 0.014495 -45/4 -735/2 2 15 0.000229 Out -0.014637 0.015094 -43/4 -705/2 2 15 0.000248 Out -0.015248 0.015745 -41/4 -675/2 2 15 0.000271 Out -0.015913 0.016455 -39/4 -645/2 2 15 0.000297 Out -0.016638 0.017231 -37/4 -615/2 2 15 0.000326 Out -0.017432 0.018085 -35/4 -585/2 2 15 0.000360 Out -0.018306 0.019027 -33/4 -555/2 2 15 0.000400 Out -0.019272 0.020073 -31/4 -525/2 2 15 0.000447 Out -0.020346 0.021240 -29/4 -495/2 2 15 0.000503 Out -0.021547 0.022552 -27/4 -465/2 2 15 0.000569 Out -0.022898 0.024037 -25/4 -435/2 2 15 0.000650 Out -0.024430 0.025731 -23/4 -405/2 2 15 0.000750 Out -0.026182 0.027681 -21/4 -375/2 2 15 0.000874 Out -0.028204 0.029952 -19/4 -345/2 2 15 0.001032 Out -0.030565 0.032628 -17/4 -315/2 2 15 0.001236 Out -0.033357 0.035830 -15/4 -285/2 2 15 0.001509 Out -0.036710 0.039728 -13/4 -255/2 2 15 0.001882 Out -0.040814 0.044578 -11/4 -225/2 2 15 0.002414 Out -0.045950 0.050777 -9/4 -195/2 2 15 0.003207 Out -0.052564 0.058978 -7/4 -165/2 2 15 0.004468 Out -0.061403 0.070340 -5/4 -135/2 2 15 0.006653 Out -0.073816 0.087122 -3/4 -105/2 2 15 0.010951 Out -0.092520 0.114423 -1/4 -75/2 2 15 0.021362 Out -0.123918 0.166641 1/4 -45/2 2 15 0.059480 Out -0.187573 0.306532 3/4 -15/2 2 15 0.761905 Out -0.385704 1.909514 5/4 15/2 2 15 3.200000 Out -0.451484 6.851484 7/4 45/2 2 15 0.072398 Out -0.201876 0.346673 9/4 75/2 2 15 0.023916 Out -0.130003 0.177835 11/4 105/2 2 15 0.011861 Out -0.095870 0.119592 13/4 135/2 2 15 0.007077 Out -0.075934 0.090087 15/4 165/2 2 15 0.004699 Out -0.062862 0.072259 17/4 195/2 2 15 0.003347 Out -0.053629 0.060322 19/4 225/2 2 15 0.002504 Out -0.046761 0.051770 21/4 255/2 2 15 0.001944 Out -0.041453 0.045341 23/4 285/2 2 15 0.001553 Out -0.037227 0.040333 25/4 315/2 2 15 0.001269 Out -0.033783 0.036321 27/4 345/2 2 15 0.001057 Out -0.030922 0.033035 29/4 375/2 2 15 0.000893 Out -0.028508 0.030294 31/4 405/2 2 15 0.000765 Out -0.026443 0.027974 33/4 435/2 2 15 0.000663 Out -0.024658 0.025983 35/4 465/2 2 15 0.000580 Out -0.023098 0.024257 37/4 495/2 2 15 0.000511 Out -0.021724 0.022746 39/4 525/2 2 15 0.000454 Out -0.020504 0.021412 41/4 555/2 2 15 0.000406 Out -0.019414 0.020226 43/4 585/2 2 15 0.000365 Out -0.018434 0.019165 45/4 615/2 2 15 0.000331 Out -0.017548 0.018209 47/4 645/2 2 15 0.000300 Out -0.016743 0.017344 49/4 675/2 2 15 0.000274 Out -0.016009 0.016558 -49/5 -324/1 5 6 0.000294 Out -0.016562 0.017150 -48/5 -318/1 5 6 0.000305 Out -0.016869 0.017479 -47/5 -312/1 5 6 0.000317 Out -0.017186 0.017820 -46/5 -306/1 5 6 0.000329 Out -0.017516 0.018175 -44/5 -294/1 5 6 0.000357 Out -0.018215 0.018928 -43/5 -288/1 5 6 0.000372 Out -0.018586 0.019329 -42/5 -282/1 5 6 0.000388 Out -0.018972 0.019747 -41/5 -276/1 5 6 0.000405 Out -0.019375 0.020184 -39/5 -264/1 5 6 0.000442 Out -0.020234 0.021118 -38/5 -258/1 5 6 0.000463 Out -0.020692 0.021618 -37/5 -252/1 5 6 0.000485 Out -0.021172 0.022142 -36/5 -246/1 5 6 0.000509 Out -0.021675 0.022692 -34/5 -234/1 5 6 0.000562 Out -0.022755 0.023880 -33/5 -228/1 5 6 0.000592 Out -0.023337 0.024521 -32/5 -222/1 5 6 0.000624 Out -0.023949 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