SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0 20 -49/1 1/0 1 20 0.020409 In 0.020315 0.020502 -48/1 0 20 -47/1 1/0 1 20 0.021277 In 0.021176 0.021378 -46/1 0 20 -45/1 1/0 1 20 0.022223 In 0.022112 0.022333 -44/1 0 20 -43/1 1/0 1 20 0.023256 In 0.023136 0.023377 -42/1 0 20 -41/1 1/0 1 20 0.024391 In 0.024258 0.024524 -40/1 0 20 -39/1 1/0 1 20 0.025642 In 0.025495 0.025789 -38/1 0 20 -37/1 1/0 1 20 0.027028 In 0.026865 0.027191 -36/1 0 20 -35/1 1/0 1 20 0.028573 In 0.028390 0.028755 -34/1 0 20 -33/1 1/0 1 20 0.030304 In 0.030099 0.030510 -32/1 0 20 -31/1 1/0 1 20 0.032260 In 0.032027 0.032492 -30/1 0 20 -29/1 1/0 1 20 0.034485 In 0.034219 0.034751 -28/1 0 20 -27/1 1/0 1 20 0.037040 In 0.036733 0.037346 -26/1 0 20 -25/1 1/0 1 20 0.040003 In 0.039645 0.040361 -24/1 0 20 -23/1 1/0 1 20 0.043482 In 0.043060 0.043905 -22/1 0 20 -21/1 1/0 1 20 0.047624 In 0.047117 0.048132 -20/1 0 20 -19/1 1/0 1 20 0.052639 In 0.052019 0.053258 -18/1 0 20 -17/1 1/0 1 20 0.058834 In 0.058060 0.059608 -16/1 0 20 -15/1 1/0 1 20 0.066681 In 0.065687 0.067676 -14/1 0 20 -13/1 1/0 1 20 0.076946 In 0.075622 0.078269 -12/1 0 20 -11/1 1/0 1 20 0.090947 In 0.089098 0.092795 -10/1 0 20 -9/1 1/0 1 20 0.111180 In 0.108417 0.113942 -8/1 0 20 -7/1 1/0 1 20 0.143003 In 0.138435 0.147571 -6/1 0 20 -5/1 1/0 1 20 0.200401 In 0.191439 0.209363 -4/1 0 20 -3/1 1/0 1 20 0.335196 In 0.310212 0.360180 -2/1 0 20 -1/1 1/0 1 20 1.052632 In 0.817256 1.288007 0/1 0 20 1/1 1/0 1 20 -1.052632 In -1.288007 -0.817256 2/1 0 20 3/1 1/0 1 20 -0.335196 In -0.360180 -0.310212 4/1 0 20 5/1 1/0 1 20 -0.200401 In -0.209363 -0.191439 6/1 0 20 7/1 1/0 1 20 -0.143003 In -0.147571 -0.138435 8/1 0 20 9/1 1/0 1 20 -0.111180 In -0.113942 -0.108417 10/1 0 20 11/1 1/0 1 20 -0.090947 In -0.092795 -0.089098 12/1 0 20 13/1 1/0 1 20 -0.076946 In -0.078269 -0.075622 14/1 0 20 15/1 1/0 1 20 -0.066681 In -0.067676 -0.065687 16/1 0 20 17/1 1/0 1 20 -0.058834 In -0.059608 -0.058060 18/1 0 20 19/1 1/0 1 20 -0.052639 In -0.053258 -0.052019 20/1 0 20 21/1 1/0 1 20 -0.047624 In -0.048132 -0.047117 22/1 0 20 23/1 1/0 1 20 -0.043482 In -0.043905 -0.043060 24/1 0 20 25/1 1/0 1 20 -0.040003 In -0.040361 -0.039645 26/1 0 20 27/1 1/0 1 20 -0.037040 In -0.037346 -0.036733 28/1 0 20 29/1 1/0 1 20 -0.034485 In -0.034751 -0.034219 30/1 0 20 31/1 1/0 1 20 -0.032260 In -0.032492 -0.032027 32/1 0 20 33/1 1/0 1 20 -0.030304 In -0.030510 -0.030099 34/1 0 20 35/1 1/0 1 20 -0.028573 In -0.028755 -0.028390 36/1 0 20 37/1 1/0 1 20 -0.027028 In -0.027191 -0.026865 38/1 0 20 39/1 1/0 1 20 -0.025642 In -0.025789 -0.025495 40/1 0 20 41/1 1/0 1 20 -0.024391 In -0.024524 -0.024258 42/1 0 20 43/1 1/0 1 20 -0.023256 In -0.023377 -0.023136 44/1 0 20 45/1 1/0 1 20 -0.022223 In -0.022333 -0.022112 46/1 0 20 47/1 1/0 1 20 -0.021277 In -0.021378 -0.021176 48/1 0 20 49/1 1/0 1 20 -0.020409 In -0.020502 -0.020315 50/1 0 20 -49/2 1/1 1 10 0.040860 In 0.034142 0.047577 -47/2 1/1 1 10 0.042600 In 0.035586 0.049615 -45/2 1/1 1 10 0.044496 In 0.037156 0.051836 -43/2 1/1 1 10 0.046568 In 0.038872 0.054265 -41/2 1/1 1 10 0.048843 In 0.040753 0.056932 -39/2 1/1 1 10 0.051351 In 0.042826 0.059876 -37/2 1/1 1 10 0.054131 In 0.045122 0.063140 -35/2 1/1 1 10 0.057229 In 0.047677 0.066781 -33/2 1/1 1 10 0.060703 In 0.050539 0.070868 -31/2 1/1 1 10 0.064627 In 0.053767 0.075487 -29/2 1/1 1 10 0.069093 In 0.057435 0.080750 -27/2 1/1 1 10 0.074221 In 0.061640 0.086803 -25/2 1/1 1 10 0.080173 In 0.066510 0.093836 -23/2 1/1 1 10 0.087162 In 0.072215 0.102109 -21/2 1/1 1 10 0.095487 In 0.078990 0.111983 -19/2 1/1 1 10 0.105569 In 0.087169 0.123970 -17/2 1/1 1 10 0.118034 In 0.097237 0.138831 -15/2 1/1 1 10 0.133837 In 0.109934 0.157741 -13/2 1/1 1 10 0.154529 In 0.126445 0.182613 -11/2 1/1 1 10 0.182796 In 0.148793 0.216799 -9/2 1/1 1 10 0.223733 In 0.180735 0.266731 -7/2 1/1 1 10 0.288344 In 0.230142 0.346545 -5/2 1/1 1 10 0.405622 In 0.316723 0.494522 -3/2 1/1 1 10 0.685393 In 0.507737 0.863049 -1/2 1/1 1 10 2.333333 In 1.279241 3.387426 1/2 1/1 1 10 -2.111111 In -2.462475 -1.759747 3/2 1/1 1 10 -0.662921 In -0.698453 -0.627390 5/2 1/1 1 10 -0.397590 In -0.435690 -0.359491 7/2 1/1 1 10 -0.284254 In -0.316588 -0.251919 9/2 1/1 1 10 -0.221261 In -0.248623 -0.193899 11/2 1/1 1 10 -0.181141 In -0.204682 -0.157601 13/2 1/1 1 10 -0.153345 In -0.173940 -0.132750 15/2 1/1 1 10 -0.132948 In -0.151227 -0.114669 17/2 1/1 1 10 -0.117342 In -0.133761 -0.100923 19/2 1/1 1 10 -0.105015 In -0.119911 -0.090120 21/2 1/1 1 10 -0.095033 In -0.108660 -0.081405 23/2 1/1 1 10 -0.086784 In -0.099340 -0.074228 25/2 1/1 1 10 -0.079853 In -0.091492 -0.068214 27/2 1/1 1 10 -0.073947 In -0.084793 -0.063101 29/2 1/1 1 10 -0.068855 In -0.079008 -0.058701 31/2 1/1 1 10 -0.064419 In -0.073963 -0.054875 33/2 1/1 1 10 -0.060520 In -0.069523 -0.051517 35/2 1/1 1 10 -0.057066 In -0.065585 -0.048546 37/2 1/1 1 10 -0.053985 In -0.062070 -0.045900 39/2 1/1 1 10 -0.051220 In -0.058913 -0.043527 41/2 1/1 1 10 -0.048724 In -0.056061 -0.041387 43/2 1/1 1 10 -0.046460 In -0.053473 -0.039448 45/2 1/1 1 10 -0.044397 In -0.051113 -0.037682 47/2 1/1 1 10 -0.042510 In -0.048952 -0.036068 49/2 1/1 1 10 -0.040776 In -0.046967 -0.034586 -50/3 0 20 -49/3 1/0 1 20 0.061226 In 0.060946 0.061505 -47/3 1/0 1 20 0.063831 In 0.063528 0.064135 -46/3 0 20 -44/3 0 20 -43/3 1/0 1 20 0.069769 In 0.069407 0.070132 -41/3 1/0 1 20 0.073173 In 0.072774 0.073572 -40/3 0 20 -38/3 0 20 -37/3 1/0 1 20 0.081084 In 0.080594 0.081574 -35/3 1/0 1 20 0.085718 In 0.085170 0.086265 -34/3 0 20 -32/3 0 20 -31/3 1/0 1 20 0.096779 In 0.096081 0.097477 -29/3 1/0 1 20 0.103454 In 0.102657 0.104252 -28/3 0 20 -26/3 0 20 -25/3 1/0 1 20 0.120010 In 0.118936 0.121083 -23/3 1/0 1 20 0.130447 In 0.129179 0.131715 -22/3 0 20 -20/3 0 20 -19/3 1/0 1 20 0.157917 In 0.156058 0.159775 -17/3 1/0 1 20 0.176501 In 0.174180 0.178823 -16/3 0 20 -14/3 0 20 -13/3 1/0 1 20 0.230838 In 0.226867 0.234808 -11/3 1/0 1 20 0.272840 In 0.267294 0.278386 -10/3 0 20 -8/3 0 20 -7/3 1/0 1 20 0.429009 In 0.415305 0.442713 -5/3 1/0 1 20 0.601202 In 0.574316 0.628089 -4/3 0 20 -2/3 0 20 -1/3 1/0 1 20 3.157895 In 2.451768 3.864021 1/3 1/0 1 20 -3.157895 In -3.864021 -2.451768 2/3 0 20 4/3 0 20 5/3 1/0 1 20 -0.601202 In -0.628089 -0.574316 7/3 1/0 1 20 -0.429009 In -0.442713 -0.415305 8/3 0 20 10/3 0 20 11/3 1/0 1 20 -0.272840 In -0.278386 -0.267294 13/3 1/0 1 20 -0.230838 In -0.234808 -0.226867 14/3 0 20 16/3 0 20 17/3 1/0 1 20 -0.176501 In -0.178823 -0.174180 19/3 1/0 1 20 -0.157917 In -0.159775 -0.156058 20/3 0 20 22/3 0 20 23/3 1/0 1 20 -0.130447 In -0.131715 -0.129179 25/3 1/0 1 20 -0.120010 In -0.121083 -0.118936 26/3 0 20 28/3 0 20 29/3 1/0 1 20 -0.103454 In -0.104252 -0.102657 31/3 1/0 1 20 -0.096779 In -0.097477 -0.096081 32/3 0 20 34/3 0 20 35/3 1/0 1 20 -0.085718 In -0.086265 -0.085170 37/3 1/0 1 20 -0.081084 In -0.081574 -0.080594 38/3 0 20 40/3 0 20 41/3 1/0 1 20 -0.073173 In -0.073572 -0.072774 43/3 1/0 1 20 -0.069769 In -0.070132 -0.069407 44/3 0 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2/1 1 5 -0.209883 In -0.223541 -0.196226 21/4 0/1 1 5 -0.190476 In -0.211772 -0.169180 23/4 0 5 25/4 0 5 27/4 2/1 1 5 -0.147762 In -0.159430 -0.136093 29/4 0/1 1 5 -0.137931 In -0.153352 -0.122510 31/4 0 5 33/4 0 5 35/4 2/1 1 5 -0.114034 In -0.123897 -0.104170 37/4 0/1 1 5 -0.108108 In -0.120195 -0.096021 39/4 0 5 41/4 0 5 43/4 2/1 1 5 -0.092847 In -0.101316 -0.084378 45/4 0/1 1 5 -0.088889 In -0.098827 -0.078951 47/4 0 5 49/4 0 5 -49/5 2/1 1 4 0.102292 In 0.090000 0.114583 -48/5 1/1 1 4 0.104286 In 0.092784 0.115789 -47/5 1/1 2 4 0.106633 In 0.089984 0.123283 -46/5 1/0 1 4 0.108708 In 0.107527 0.109890 -44/5 1/0 1 4 0.113651 In 0.112360 0.114943 -43/5 1/1 2 4 0.116581 In 0.098220 0.134942 -42/5 1/1 1 4 0.119206 In 0.105882 0.132530 -41/5 0/1 1 4 0.121951 In 0.109756 0.134146 -39/5 2/1 1 4 0.128618 In 0.112500 0.144737 -38/5 1/1 1 4 0.131775 In 0.116883 0.146667 -37/5 1/1 2 4 0.135550 In 0.113848 0.157251 -36/5 1/0 1 4 0.138916 In 0.136986 0.140845 -34/5 1/0 1 4 0.147091 In 0.144928 0.149254 -33/5 1/1 2 4 0.152044 In 0.127359 0.176729 -32/5 1/1 1 4 0.156532 In 0.138462 0.174603 -31/5 0/1 1 4 0.161290 In 0.145161 0.177419 -29/5 2/1 1 4 0.173214 In 0.150000 0.196429 -28/5 1/1 1 4 0.178947 In 0.157895 0.200000 -27/5 1/1 2 4 0.185999 In 0.154938 0.217059 -26/5 1/0 1 4 0.192379 In 0.188679 0.196078 -24/5 1/0 1 4 0.208424 In 0.204082 0.212766 -23/5 1/1 2 4 0.218543 In 0.181080 0.256006 -22/5 1/1 1 4 0.227907 In 0.200000 0.255814 -21/5 0/1 1 4 0.238095 In 0.214286 0.261905 -19/5 2/1 1 4 0.265278 In 0.225000 0.305556 -18/5 1/1 1 4 0.278764 In 0.243243 0.314286 -17/5 1/1 2 4 0.296360 In 0.242439 0.350282 -16/5 1/0 1 4 0.312805 In 0.303030 0.322581 -14/5 1/0 1 4 0.357599 In 0.344828 0.370370 -13/5 1/1 2 4 0.388724 In 0.313187 0.464261 -12/5 1/1 1 4 0.419130 In 0.360000 0.478261 -11/5 0/1 1 4 0.454545 In 0.409091 0.500000 -9/5 2/1 1 4 0.568750 In 0.450000 0.687500 -8/5 1/1 1 4 0.631373 In 0.529412 0.733333 -7/5 1/1 2 4 0.731959 In 0.557005 0.906913 -6/5 1/0 1 4 0.839161 In 0.769231 0.909091 -4/5 1/0 1 4 1.269841 In 1.111111 1.428571 -3/5 1/1 2 4 1.823529 In 1.158017 2.489042 -2/5 1/1 1 4 2.733333 In 1.800000 3.666667 -1/5 0/1 1 4 5.000000 In 4.500000 5.500000 1/5 2/1 1 4 -2.750000 Left 2/5 1/1 1 4 -2.600000 In -3.000000 -2.200000 3/5 1/1 2 4 -1.705882 In -1.872260 -1.539504 4/5 1/0 1 4 -1.269841 In -1.428571 -1.111111 6/5 1/0 1 4 -0.839161 In -0.909091 -0.769231 7/5 1/1 2 4 -0.711340 In -0.740499 -0.682181 8/5 1/1 1 4 -0.623529 In -0.647059 -0.600000 9/5 0/1 1 4 -0.555556 In -0.611111 -0.500000 11/5 2/1 1 4 -0.454167 In -0.458333 -0.450000 12/5 1/1 1 4 -0.415652 In -0.440000 -0.391304 13/5 1/1 2 4 -0.382789 In -0.416361 -0.349217 14/5 1/0 1 4 -0.357599 In -0.370370 -0.344828 16/5 1/0 1 4 -0.312805 In -0.322581 -0.303030 17/5 1/1 2 4 -0.292894 In -0.322306 -0.263483 18/5 1/1 1 4 -0.277220 In -0.297297 -0.257143 19/5 0/1 1 4 -0.263158 In -0.289474 -0.236842 21/5 2/1 1 4 -0.237500 In -0.250000 -0.225000 22/5 1/1 1 4 -0.226873 In -0.244444 -0.209302 23/5 1/1 2 4 -0.216651 In -0.240734 -0.192568 24/5 1/0 1 4 -0.208424 In -0.212766 -0.204082 26/5 1/0 1 4 -0.192379 In -0.196078 -0.188679 27/5 1/1 2 4 -0.184626 In -0.205980 -0.163272 28/5 1/1 1 4 -0.178309 In -0.192982 -0.163636 29/5 0/1 1 4 -0.172414 In -0.189655 -0.155172 31/5 2/1 1 4 -0.160938 In -0.171875 -0.150000 32/5 1/1 1 4 -0.156044 In -0.169231 -0.142857 33/5 1/1 2 4 -0.151125 In -0.169315 -0.132936 34/5 1/0 1 4 -0.147091 In -0.149254 -0.144928 36/5 1/0 1 4 -0.138916 In -0.140845 -0.136986 37/5 1/1 2 4 -0.134819 In -0.151354 -0.118285 38/5 1/1 1 4 -0.131429 In -0.142857 -0.120000 39/5 0/1 1 4 -0.128205 In -0.141026 -0.115385 41/5 2/1 1 4 -0.121726 In -0.130952 -0.112500 42/5 1/1 1 4 -0.118923 In -0.129412 -0.108434 43/5 1/1 2 4 -0.116040 In -0.130576 -0.101504 44/5 1/0 1 4 -0.113651 In -0.114943 -0.112360 46/5 1/0 1 4 -0.108708 In -0.109890 -0.107527 47/5 1/1 2 4 -0.106181 In -0.119628 -0.092733 48/5 1/1 1 4 -0.104069 In -0.113402 -0.094737 49/5 0/1 1 4 -0.102041 In -0.112245 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