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 0/1 1 28 0.020000 In 0.016220 0.023780 -49/1 1/0 1 28 0.020408 In 0.020330 0.020487 -48/1 0/1 1 28 0.020833 In 0.016896 0.024770 -47/1 1/0 1 28 0.021277 In 0.021191 0.021362 -46/1 0/1 1 28 0.021739 In 0.017631 0.025847 -45/1 1/0 1 28 0.022223 In 0.022129 0.022316 -44/1 0/1 1 28 0.022727 In 0.018432 0.027022 -43/1 1/0 1 28 0.023256 In 0.023154 0.023358 -42/1 0/1 1 28 0.023810 In 0.019310 0.028309 -41/1 1/0 1 28 0.024391 In 0.024278 0.024503 -40/1 0/1 1 28 0.025000 In 0.020275 0.029725 -39/1 1/0 1 28 0.025642 In 0.025517 0.025766 -38/1 0/1 1 28 0.026316 In 0.021343 0.031289 -37/1 1/0 1 28 0.027028 In 0.026890 0.027166 -36/1 0/1 1 28 0.027778 In 0.022528 0.033027 -35/1 1/0 1 28 0.028572 In 0.028418 0.028727 -34/1 0/1 1 28 0.029412 In 0.023853 0.034970 -33/1 1/0 1 28 0.030304 In 0.030130 0.030478 -32/1 0/1 1 28 0.031250 In 0.025344 0.037156 -31/1 1/0 1 28 0.032259 In 0.032063 0.032456 -30/1 0/1 1 28 0.033333 In 0.027034 0.039633 -29/1 1/0 1 28 0.034484 In 0.034260 0.034709 -28/1 0/1 1 28 0.035714 In 0.028965 0.042464 -27/1 1/0 1 28 0.037039 In 0.036780 0.037298 -26/1 0/1 1 28 0.038462 In 0.031193 0.045730 -25/1 1/0 1 28 0.040002 In 0.039700 0.040305 -24/1 0/1 1 28 0.041667 In 0.033792 0.049541 -23/1 1/0 1 28 0.043481 In 0.043124 0.043838 -22/1 0/1 1 28 0.045455 In 0.036864 0.054045 -21/1 1/0 1 28 0.047623 In 0.047194 0.048051 -20/1 0/1 1 28 0.050000 In 0.040551 0.059449 -19/1 1/0 1 28 0.052637 In 0.052113 0.053160 -18/1 0/1 1 28 0.055556 In 0.045057 0.066055 -17/1 1/0 1 28 0.058831 In 0.058177 0.059485 -16/1 0/1 1 28 0.062500 In 0.050689 0.074311 -15/1 1/0 1 28 0.066677 In 0.065837 0.067517 -14/1 0/1 1 28 0.071429 In 0.057930 0.084927 -13/1 1/0 1 28 0.076939 In 0.075821 0.078058 -12/1 0/1 1 28 0.083333 In 0.067585 0.099082 -11/1 1/0 1 28 0.090936 In 0.089374 0.092498 -10/1 0/1 1 28 0.100000 In 0.081102 0.118898 -9/1 1/0 1 28 0.111160 In 0.108826 0.113494 -8/1 0/1 1 28 0.125000 In 0.101377 0.148623 -7/1 1/0 1 28 0.142961 In 0.139102 0.146821 -6/1 0/1 1 28 0.166667 In 0.135170 0.198164 -5/1 1/0 1 28 0.200286 In 0.192716 0.207856 -4/1 0/1 1 28 0.250000 In 0.202754 0.297246 -3/1 1/0 1 28 0.334661 In 0.313580 0.355743 -2/1 0/1 1 28 0.500000 In 0.405509 0.594491 -1/1 1/0 1 28 1.037037 In 0.841055 1.233019 0/1 0/1 1 28 1/1 1/0 1 28 -1.037037 In -1.233019 -0.841055 2/1 0/1 1 28 -0.500000 In -0.594491 -0.405509 3/1 1/0 1 28 -0.334661 In -0.355743 -0.313580 4/1 0/1 1 28 -0.250000 In -0.297246 -0.202754 5/1 1/0 1 28 -0.200286 In -0.207856 -0.192716 6/1 0/1 1 28 -0.166667 In -0.198164 -0.135170 7/1 1/0 1 28 -0.142961 In -0.146821 -0.139102 8/1 0/1 1 28 -0.125000 In -0.148623 -0.101377 9/1 1/0 1 28 -0.111160 In -0.113494 -0.108826 10/1 0/1 1 28 -0.100000 In -0.118898 -0.081102 11/1 1/0 1 28 -0.090936 In -0.092498 -0.089374 12/1 0/1 1 28 -0.083333 In -0.099082 -0.067585 13/1 1/0 1 28 -0.076939 In -0.078058 -0.075821 14/1 0/1 1 28 -0.071429 In -0.084927 -0.057930 15/1 1/0 1 28 -0.066677 In -0.067517 -0.065837 16/1 0/1 1 28 -0.062500 In -0.074311 -0.050689 17/1 1/0 1 28 -0.058831 In -0.059485 -0.058177 18/1 0/1 1 28 -0.055556 In -0.066055 -0.045057 19/1 1/0 1 28 -0.052637 In -0.053160 -0.052113 20/1 0/1 1 28 -0.050000 In -0.059449 -0.040551 21/1 1/0 1 28 -0.047623 In -0.048051 -0.047194 22/1 0/1 1 28 -0.045455 In -0.054045 -0.036864 23/1 1/0 1 28 -0.043481 In -0.043838 -0.043124 24/1 0/1 1 28 -0.041667 In -0.049541 -0.033792 25/1 1/0 1 28 -0.040002 In -0.040305 -0.039700 26/1 0/1 1 28 -0.038462 In -0.045730 -0.031193 27/1 1/0 1 28 -0.037039 In -0.037298 -0.036780 28/1 0/1 1 28 -0.035714 In -0.042464 -0.028965 29/1 1/0 1 28 -0.034484 In -0.034709 -0.034260 30/1 0/1 1 28 -0.033333 In -0.039633 -0.027034 31/1 1/0 1 28 -0.032259 In -0.032456 -0.032063 32/1 0/1 1 28 -0.031250 In -0.037156 -0.025344 33/1 1/0 1 28 -0.030304 In -0.030478 -0.030130 34/1 0/1 1 28 -0.029412 In -0.034970 -0.023853 35/1 1/0 1 28 -0.028572 In -0.028727 -0.028418 36/1 0/1 1 28 -0.027778 In -0.033027 -0.022528 37/1 1/0 1 28 -0.027028 In -0.027166 -0.026890 38/1 0/1 1 28 -0.026316 In -0.031289 -0.021343 39/1 1/0 1 28 -0.025642 In -0.025766 -0.025517 40/1 0/1 1 28 -0.025000 In -0.029725 -0.020275 41/1 1/0 1 28 -0.024391 In -0.024503 -0.024278 42/1 0/1 1 28 -0.023810 In -0.028309 -0.019310 43/1 1/0 1 28 -0.023256 In -0.023358 -0.023154 44/1 0/1 1 28 -0.022727 In -0.027022 -0.018432 45/1 1/0 1 28 -0.022223 In -0.022316 -0.022129 46/1 0/1 1 28 -0.021739 In -0.025847 -0.017631 47/1 1/0 1 28 -0.021277 In -0.021362 -0.021191 48/1 0/1 1 28 -0.020833 In -0.024770 -0.016896 49/1 1/0 1 28 -0.020408 In -0.020487 -0.020330 50/1 0/1 1 28 -0.020000 In -0.023780 -0.016220 -49/2 0 14 -47/2 0 14 -45/2 0 14 -43/2 0 14 -41/2 0 14 -39/2 0 14 -37/2 0 14 -35/2 0 14 -33/2 0 14 -31/2 0 14 -29/2 0 14 -27/2 0 14 -25/2 0 14 -23/2 0 14 -21/2 0 14 -19/2 0 14 -17/2 0 14 -15/2 0 14 -13/2 0 14 -11/2 0 14 -9/2 0 14 -7/2 0 14 -5/2 0 14 -3/2 0 14 -1/2 0 14 1/2 0 14 3/2 0 14 5/2 0 14 7/2 0 14 9/2 0 14 11/2 0 14 13/2 0 14 15/2 0 14 17/2 0 14 19/2 0 14 21/2 0 14 23/2 0 14 25/2 0 14 27/2 0 14 29/2 0 14 31/2 0 14 33/2 0 14 35/2 0 14 37/2 0 14 39/2 0 14 41/2 0 14 43/2 0 14 45/2 0 14 47/2 0 14 49/2 0 14 -50/3 -2/1 1 28 0.059975 In 0.056649 0.063301 -49/3 -1/2 1 28 0.061196 In 0.053718 0.068673 -47/3 1/2 1 28 0.063863 In 0.055565 0.072162 -46/3 2/1 1 28 0.065256 In 0.060611 0.069900 -44/3 -2/1 1 28 0.068150 In 0.064440 0.071860 -43/3 -1/2 1 28 0.069730 In 0.061247 0.078214 -41/3 1/2 1 28 0.073215 In 0.063659 0.082771 -40/3 2/1 1 28 0.075051 In 0.069618 0.080485 -38/3 -2/1 1 28 0.078906 In 0.074717 0.083094 -37/3 -1/2 1 28 0.081031 In 0.071230 0.090832 -35/3 1/2 1 28 0.085775 In 0.074513 0.097037 -34/3 2/1 1 28 0.088308 In 0.081768 0.094848 -32/3 -2/1 1 28 0.093693 In 0.088894 0.098492 -31/3 -1/2 1 28 0.096703 In 0.085101 0.108306 -29/3 1/2 1 28 0.103538 In 0.089830 0.117246 -28/3 2/1 1 28 0.107254 In 0.099056 0.115451 -26/3 -2/1 1 28 0.115303 In 0.109711 0.120896 -25/3 -1/2 1 28 0.119893 In 0.105680 0.134105 -23/3 1/2 1 28 0.130579 In 0.113072 0.148085 -22/3 2/1 1 28 0.136552 In 0.125615 0.147488 -20/3 -2/1 1 28 0.149875 In 0.143258 0.156492 -19/3 -1/2 1 28 0.157712 In 0.139388 0.176037 -17/3 1/2 1 28 0.176740 In 0.152542 0.200938 -16/3 2/1 1 28 0.187884 In 0.171634 0.204134 -14/3 -2/1 1 28 0.214077 In 0.206358 0.221797 -13/3 -1/2 1 28 0.230395 In 0.204670 0.256120 -11/3 1/2 1 28 0.273398 In 0.234341 0.312456 -10/3 2/1 1 28 0.301144 In 0.270864 0.331425 -8/3 -2/1 1 28 0.374720 In 0.368801 0.380639 -7/3 -1/2 1 28 0.427425 In 0.384970 0.469881 -5/3 1/2 1 28 0.603720 In 0.505308 0.702131 -4/3 2/1 1 28 0.761261 In 0.642083 0.880439 -2/3 -2/1 1 28 1.537037 In 1.341055 1.733019 -1/3 -1/2 1 28 3.037037 In 2.841055 3.233019 1/3 1/2 1 28 -3.037037 In -3.233019 -2.841055 2/3 2/1 1 28 -1.537037 In -1.733019 -1.341055 4/3 -2/1 1 28 -0.761261 In -0.880439 -0.642083 5/3 -1/2 1 28 -0.603720 In -0.702131 -0.505308 7/3 1/2 1 28 -0.427425 In -0.469881 -0.384970 8/3 2/1 1 28 -0.374720 In -0.380639 -0.368801 10/3 -2/1 1 28 -0.301144 In -0.331425 -0.270864 11/3 -1/2 1 28 -0.273398 In -0.312456 -0.234341 13/3 1/2 1 28 -0.230395 In -0.256120 -0.204670 14/3 2/1 1 28 -0.214077 In -0.221797 -0.206358 16/3 -2/1 1 28 -0.187884 In -0.204134 -0.171634 17/3 -1/2 1 28 -0.176740 In -0.200938 -0.152542 19/3 1/2 1 28 -0.157712 In -0.176037 -0.139388 20/3 2/1 1 28 -0.149875 In -0.156492 -0.143258 22/3 -2/1 1 28 -0.136552 In -0.147488 -0.125615 23/3 -1/2 1 28 -0.130579 In -0.148085 -0.113072 25/3 1/2 1 28 -0.119893 In -0.134105 -0.105680 26/3 2/1 1 28 -0.115303 In -0.120896 -0.109711 28/3 -2/1 1 28 -0.107254 In -0.115451 -0.099056 29/3 -1/2 1 28 -0.103538 In -0.117246 -0.089830 31/3 1/2 1 28 -0.096703 In -0.108306 -0.085101 32/3 2/1 1 28 -0.093693 In -0.098492 -0.088894 34/3 -2/1 1 28 -0.088308 In -0.094848 -0.081768 35/3 -1/2 1 28 -0.085775 In -0.097037 -0.074513 37/3 1/2 1 28 -0.081031 In -0.090832 -0.071230 38/3 2/1 1 28 -0.078906 In -0.083094 -0.074717 40/3 -2/1 1 28 -0.075051 In -0.080485 -0.069618 41/3 -1/2 1 28 -0.073215 In -0.082771 -0.063659 43/3 1/2 1 28 -0.069730 In -0.078214 -0.061247 44/3 2/1 1 28 -0.068150 In -0.071860 -0.064440 46/3 -2/1 1 28 -0.065256 In -0.069900 -0.060611 47/3 -1/2 1 28 -0.063863 In -0.072162 -0.055565 49/3 1/2 1 28 -0.061196 In -0.068673 -0.053718 50/3 2/1 1 28 -0.059975 In -0.063301 -0.056649 -49/4 -1/1 1 7 0.081578 In 0.074494 0.088662 -47/4 1/1 1 7 0.085177 In 0.076450 0.093903 -45/4 1/1 1 7 0.088966 In 0.079819 0.098112 -43/4 -1/1 1 7 0.092953 In 0.084980 0.100926 -41/4 -1/1 1 7 0.097484 In 0.089164 0.105804 -39/4 1/1 1 7 0.102668 In 0.091981 0.113354 -37/4 1/1 1 7 0.108224 In 0.096903 0.119545 -35/4 -1/1 1 7 0.114182 In 0.104616 0.123748 -33/4 -1/1 1 7 0.121097 In 0.111030 0.131163 -31/4 1/1 1 7 0.129200 In 0.115432 0.142968 -29/4 1/1 1 7 0.138124 In 0.123291 0.152958 -27/4 -1/1 1 7 0.147981 In 0.136054 0.159908 -25/4 -1/1 1 7 0.159808 In 0.147105 0.172510 -23/4 1/1 1 7 0.174230 In 0.154934 0.193527 -21/4 1/1 1 7 0.190862 In 0.169428 0.212295 -19/4 -1/1 1 7 0.210214 In 0.194503 0.225925 -17/4 -1/1 1 7 0.234916 In 0.217906 0.251926 -15/4 1/1 1 7 0.267471 In 0.235534 0.299409 -13/4 1/1 1 7 0.308799 In 0.270746 0.346851 -11/4 -1/1 1 7 0.362884 In 0.340993 0.384776 -9/4 -1/1 1 7 0.443463 In 0.420091 0.466835 -7/4 1/1 1 7 0.576023 In 0.490926 0.661121 -5/4 1/1 1 7 0.810345 In 0.673496 0.947194 -3/4 -1/1 1 7 1.338710 In 1.296036 1.381383 -1/4 -1/1 1 7 4.500000 In 3.177124 5.822876 1/4 1/1 1 7 -4.500000 In -5.822876 -3.177124 3/4 1/1 1 7 -1.338710 In -1.381383 -1.296036 5/4 -1/1 1 7 -0.810345 In -0.947194 -0.673496 7/4 -1/1 1 7 -0.576023 In -0.661121 -0.490926 9/4 1/1 1 7 -0.443463 In -0.466835 -0.420091 11/4 1/1 1 7 -0.362884 In -0.384776 -0.340993 13/4 -1/1 1 7 -0.308799 In -0.346851 -0.270746 15/4 -1/1 1 7 -0.267471 In -0.299409 -0.235534 17/4 1/1 1 7 -0.234916 In -0.251926 -0.217906 19/4 1/1 1 7 -0.210214 In -0.225925 -0.194503 21/4 -1/1 1 7 -0.190862 In -0.212295 -0.169428 23/4 -1/1 1 7 -0.174230 In -0.193527 -0.154934 25/4 1/1 1 7 -0.159808 In -0.172510 -0.147105 27/4 1/1 1 7 -0.147981 In -0.159908 -0.136054 29/4 -1/1 1 7 -0.138124 In -0.152958 -0.123291 31/4 -1/1 1 7 -0.129200 In -0.142968 -0.115432 33/4 1/1 1 7 -0.121097 In -0.131163 -0.111030 35/4 1/1 1 7 -0.114182 In -0.123748 -0.104616 37/4 -1/1 1 7 -0.108224 In -0.119545 -0.096903 39/4 -1/1 1 7 -0.102668 In -0.113354 -0.091981 41/4 1/1 1 7 -0.097484 In -0.105804 -0.089164 43/4 1/1 1 7 -0.092953 In -0.100926 -0.084980 45/4 -1/1 1 7 -0.088966 In -0.098112 -0.079819 47/4 -1/1 1 7 -0.085177 In -0.093903 -0.076450 49/4 1/1 1 7 -0.081578 In -0.088662 -0.074494 -49/5 1/2 1 28 0.102072 In 0.093965 0.110179 -48/5 0/1 1 28 0.104167 In 0.100230 0.108104 -47/5 1/0 1 28 0.106385 In 0.105957 0.106812 -46/5 2/1 1 28 0.108737 In 0.103735 0.113739 -44/5 -2/1 1 28 0.113608 In 0.110289 0.116927 -43/5 1/0 1 28 0.116281 In 0.115770 0.116792 -42/5 0/1 1 28 0.119048 In 0.114548 0.123547 -41/5 -1/2 1 28 0.121911 In 0.113255 0.130568 -39/5 1/2 1 28 0.128255 In 0.117942 0.138568 -38/5 0/1 1 28 0.131579 In 0.126606 0.136552 -37/5 1/0 1 28 0.135139 In 0.134448 0.135829 -36/5 2/1 1 28 0.138959 In 0.132251 0.145668 -34/5 -2/1 1 28 0.147015 In 0.143091 0.150939 -33/5 1/0 1 28 0.151520 In 0.150652 0.152388 -32/5 0/1 1 28 0.156250 In 0.150344 0.162156 -31/5 -1/2 1 28 0.161222 In 0.150012 0.172432 -29/5 1/2 1 28 0.172506 In 0.158349 0.186663 -28/5 0/1 1 28 0.178571 In 0.171822 0.185321 -27/5 1/0 1 28 0.185194 In 0.183898 0.186490 -26/5 2/1 1 28 0.192454 In 0.182388 0.202520 -24/5 -2/1 1 28 0.208261 In 0.203667 0.212855 -23/5 1/0 1 28 0.217406 In 0.215620 0.219192 -22/5 0/1 1 28 0.227273 In 0.218683 0.235863 -21/5 -1/2 1 28 0.237953 In 0.222096 0.253809 -19/5 1/2 1 28 0.263382 In 0.240869 0.285894 -18/5 0/1 1 28 0.277778 In 0.267279 0.288277 -17/5 1/0 1 28 0.294154 In 0.290884 0.297424 -16/5 2/1 1 28 0.312954 In 0.293749 0.332158 -14/5 -2/1 1 28 0.357039 In 0.353179 0.360898 -13/5 1/0 1 28 0.384697 In 0.379104 0.390289 -12/5 0/1 1 28 0.416667 In 0.400918 0.432415 -11/5 -1/2 1 28 0.454089 In 0.427530 0.480648 -9/5 1/2 1 28 0.556683 In 0.502998 0.610368 -8/5 0/1 1 28 0.625000 In 0.601377 0.648623 -7/5 1/0 1 28 0.714807 In 0.695509 0.734105 -6/5 2/1 1 28 0.838645 In 0.754319 0.922972 -4/5 -2/1 1 28 1.256757 In 1.185250 1.328264 -3/5 1/0 1 28 1.673307 In 1.567898 1.778715 -2/5 0/1 1 28 2.500000 In 2.405509 2.594491 -1/5 -1/2 1 28 5.111111 In 4.523166 5.699056 1/5 1/2 1 28 -5.111111 In -5.699056 -4.523166 2/5 0/1 1 28 -2.500000 In -2.594491 -2.405509 3/5 1/0 1 28 -1.673307 In -1.778715 -1.567898 4/5 2/1 1 28 -1.256757 In -1.328264 -1.185250 6/5 -2/1 1 28 -0.838645 In -0.922972 -0.754319 7/5 1/0 1 28 -0.714807 In -0.734105 -0.695509 8/5 0/1 1 28 -0.625000 In -0.648623 -0.601377 9/5 -1/2 1 28 -0.556683 In -0.610368 -0.502998 11/5 1/2 1 28 -0.454089 In -0.480648 -0.427530 12/5 0/1 1 28 -0.416667 In -0.432415 -0.400918 13/5 1/0 1 28 -0.384697 In -0.390289 -0.379104 14/5 2/1 1 28 -0.357039 In 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