SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 3 -50/1 0 9 -49/1 0 9 -48/1 0/1 2 9 0.020833 In 0.011012 0.030654 -47/1 0 9 -46/1 0 9 -45/1 0/1 2 9 0.022222 In 0.011747 0.032698 -44/1 0 9 -43/1 0 9 -42/1 0/1 2 9 0.023810 In 0.012586 0.035033 -41/1 0 9 -40/1 0 9 -39/1 0/1 2 9 0.025641 In 0.013554 0.037728 -38/1 0 9 -37/1 0 9 -36/1 0/1 2 9 0.027778 In 0.014683 0.040872 -35/1 0 9 -34/1 0 9 -33/1 0/1 2 9 0.030303 In 0.016018 0.044588 -32/1 0 9 -31/1 0 9 -30/1 0/1 2 9 0.033333 In 0.017620 0.049047 -29/1 0 9 -28/1 0 9 -27/1 0/1 2 9 0.037037 In 0.019578 0.054496 -26/1 0 9 -25/1 0 9 -24/1 0/1 2 9 0.041667 In 0.022025 0.061309 -23/1 0 9 -22/1 0 9 -21/1 0/1 2 9 0.047619 In 0.025171 0.070067 -20/1 0 9 -19/1 0 9 -18/1 0/1 2 9 0.055556 In 0.029366 0.081745 -17/1 0 9 -16/1 0 9 -15/1 0/1 2 9 0.066667 In 0.035240 0.098094 -14/1 0 9 -13/1 0 9 -12/1 0/1 2 9 0.083333 In 0.044050 0.122617 -11/1 0 9 -10/1 0 9 -9/1 0/1 2 9 0.111111 In 0.058733 0.163489 -8/1 0 9 -7/1 0 9 -6/1 0/1 2 9 0.166667 In 0.088099 0.245234 -5/1 0 9 -4/1 0 9 -3/1 0/1 2 9 0.333333 In 0.176198 0.490468 -2/1 0 9 -1/1 0 9 0/1 0/1 2 9 1/1 0 9 2/1 0 9 3/1 0/1 2 9 -0.333333 In -0.490468 -0.176198 4/1 0 9 5/1 0 9 6/1 0/1 2 9 -0.166667 In -0.245234 -0.088099 7/1 0 9 8/1 0 9 9/1 0/1 2 9 -0.111111 In -0.163489 -0.058733 10/1 0 9 11/1 0 9 12/1 0/1 2 9 -0.083333 In -0.122617 -0.044050 13/1 0 9 14/1 0 9 15/1 0/1 2 9 -0.066667 In -0.098094 -0.035240 16/1 0 9 17/1 0 9 18/1 0/1 2 9 -0.055556 In -0.081745 -0.029366 19/1 0 9 20/1 0 9 21/1 0/1 2 9 -0.047619 In -0.070067 -0.025171 22/1 0 9 23/1 0 9 24/1 0/1 2 9 -0.041667 In -0.061309 -0.022025 25/1 0 9 26/1 0 9 27/1 0/1 2 9 -0.037037 In -0.054496 -0.019578 28/1 0 9 29/1 0 9 30/1 0/1 2 9 -0.033333 In -0.049047 -0.017620 31/1 0 9 32/1 0 9 33/1 0/1 2 9 -0.030303 In -0.044588 -0.016018 34/1 0 9 35/1 0 9 36/1 0/1 2 9 -0.027778 In -0.040872 -0.014683 37/1 0 9 38/1 0 9 39/1 0/1 2 9 -0.025641 In -0.037728 -0.013554 40/1 0 9 41/1 0 9 42/1 0/1 2 9 -0.023810 In -0.035033 -0.012586 43/1 0 9 44/1 0 9 45/1 0/1 2 9 -0.022222 In -0.032698 -0.011747 46/1 0 9 47/1 0 9 48/1 0/1 2 9 -0.020833 In -0.030654 -0.011012 49/1 0 9 50/1 0 9 -49/2 0 9 -47/2 0 9 -45/2 0/1 2 9 0.044444 In 0.033969 0.054920 -43/2 0 9 -41/2 0 9 -39/2 0/1 2 9 0.051282 In 0.039195 0.063369 -37/2 0 9 -35/2 0 9 -33/2 0/1 2 9 0.060606 In 0.046321 0.074891 -31/2 0 9 -29/2 0 9 -27/2 0/1 2 9 0.074074 In 0.056615 0.091534 -25/2 0 9 -23/2 0 9 -21/2 0/1 2 9 0.095238 In 0.072790 0.117686 -19/2 0 9 -17/2 0 9 -15/2 0/1 2 9 0.133333 In 0.101906 0.164760 -13/2 0 9 -11/2 0 9 -9/2 0/1 2 9 0.222222 In 0.169844 0.274601 -7/2 0 9 -5/2 0 9 -3/2 0/1 2 9 0.666667 In 0.509532 0.823802 -1/2 0 9 1/2 0 9 3/2 0/1 2 9 -0.666667 In -0.823802 -0.509532 5/2 0 9 7/2 0 9 9/2 0/1 2 9 -0.222222 In -0.274601 -0.169844 11/2 0 9 13/2 0 9 15/2 0/1 2 9 -0.133333 In -0.164760 -0.101906 17/2 0 9 19/2 0 9 21/2 0/1 2 9 -0.095238 In -0.117686 -0.072790 23/2 0 9 25/2 0 9 27/2 0/1 2 9 -0.074074 In -0.091534 -0.056615 29/2 0 9 31/2 0 9 33/2 0/1 2 9 -0.060606 In -0.074891 -0.046321 35/2 0 9 37/2 0 9 39/2 0/1 2 9 -0.051282 In -0.063369 -0.039195 41/2 0 9 43/2 0 9 45/2 0/1 2 9 -0.044444 In -0.054920 -0.033969 47/2 0 9 49/2 0 9 -50/3 -1/1 2 3 0.059749 In 0.044395 0.075103 -49/3 1/0 2 3 0.061241 In 0.060221 0.062262 -47/3 -1/1 4 3 0.063264 In 0.040251 0.086278 -46/3 0 3 -44/3 0 3 -43/3 1/0 4 3 0.069818 In 0.067943 0.071693 -41/3 -1/1 2 3 0.072803 In 0.054338 0.091268 -40/3 1/0 2 3 0.075031 In 0.073500 0.076563 -38/3 -1/1 4 3 0.078096 In 0.050082 0.106110 -37/3 0 3 -35/3 0 3 -34/3 1/0 4 3 0.088337 In 0.085337 0.091337 -32/3 -1/1 2 3 0.093160 In 0.070021 0.116298 -31/3 1/0 2 3 0.096841 In 0.094291 0.099392 -29/3 -1/1 4 3 0.102025 In 0.066270 0.137780 -28/3 0 3 -26/3 0 3 -25/3 1/0 4 3 0.120257 In 0.114702 0.125811 -23/3 -1/1 2 3 0.129338 In 0.098429 0.160246 -22/3 1/0 2 3 0.136552 In 0.131484 0.141620 -20/3 -1/1 4 3 0.147157 In 0.097918 0.196396 -19/3 0 3 -17/3 0 3 -16/3 1/0 4 3 0.188482 In 0.174879 0.202084 -14/3 -1/1 2 3 0.211604 In 0.165624 0.257584 -13/3 1/0 2 3 0.231683 In 0.217132 0.246235 -11/3 -1/1 4 3 0.264624 In 0.187429 0.341818 -10/3 0 3 -8/3 0 3 -7/3 1/0 4 3 0.440559 In 0.367886 0.513233 -5/3 -1/1 2 3 0.589041 In 0.521932 0.656150 -4/3 1/0 2 3 0.782609 In 0.622859 0.942358 -2/3 -1/1 4 3 1.750000 In 1.316987 2.183013 -1/3 0 3 1/3 0 3 2/3 1/0 4 3 -2.250000 In -3.549038 -0.950962 4/3 -1/1 2 3 -0.826087 In -1.198835 -0.453339 5/3 1/0 2 3 -0.616438 In -0.717102 -0.515774 7/3 -1/1 4 3 -0.468531 In -0.710776 -0.226287 8/3 0 3 10/3 0 3 11/3 1/0 4 3 -0.275766 In -0.304714 -0.246818 13/3 -1/1 2 3 -0.235644 In -0.313251 -0.158036 14/3 1/0 2 3 -0.215017 In -0.227557 -0.202477 16/3 -1/1 4 3 -0.193717 In -0.279866 -0.107568 17/3 0 3 19/3 0 3 20/3 1/0 4 3 -0.150502 In -0.159191 -0.141812 22/3 -1/1 2 3 -0.137931 In -0.180164 -0.095698 23/3 1/0 2 3 -0.130599 In -0.135236 -0.125963 25/3 -1/1 4 3 -0.122394 In -0.174236 -0.070553 26/3 0 3 28/3 0 3 29/3 1/0 4 3 -0.103613 In -0.107738 -0.099487 31/3 -1/1 2 3 -0.097536 In -0.126443 -0.068628 32/3 1/0 2 3 -0.093811 In -0.096205 -0.091417 34/3 -1/1 4 3 -0.089492 In -0.126493 -0.052491 35/3 0 3 37/3 0 3 38/3 1/0 4 3 -0.079020 In -0.081422 -0.076619 40/3 -1/1 2 3 -0.075448 In -0.097401 -0.053496 41/3 1/0 2 3 -0.073200 In -0.074658 -0.071742 43/3 -1/1 4 3 -0.070539 In -0.099287 -0.041792 44/3 0 3 46/3 0 3 47/3 1/0 4 3 -0.063868 In -0.065437 -0.062299 49/3 -1/1 2 3 -0.061519 In -0.079208 -0.043831 50/3 1/0 2 3 -0.060016 In -0.060996 -0.059036 -49/4 0 9 -47/4 0 9 -45/4 -2/1 2 9 0.088708 In 0.080091 0.097325 -43/4 0 9 -41/4 0 9 -39/4 -2/1 2 9 0.102332 In 0.092718 0.111945 -37/4 0 9 -35/4 0 9 -33/4 -2/1 2 9 0.120903 In 0.110072 0.131733 -31/4 0 9 -29/4 0 9 -27/4 -2/1 2 9 0.147719 In 0.135417 0.160020 -25/4 0 9 -23/4 0 9 -21/4 -2/1 2 9 0.189851 In 0.175927 0.203775 -19/4 0 9 -17/4 0 9 -15/4 -2/1 2 9 0.265741 In 0.251017 0.280465 -13/4 0 9 -11/4 0 9 -9/4 -2/1 2 9 0.443828 In 0.437944 0.449712 -7/4 0 9 -5/4 0 9 -3/4 -2/1 2 9 1.424658 In 1.134066 1.715249 -1/4 0 9 1/4 0 9 3/4 -2/1 2 9 -1.534247 In -2.173549 -0.894945 5/4 0 9 7/4 0 9 9/4 -2/1 2 9 -0.454924 In -0.554958 -0.354889 11/4 0 9 13/4 0 9 15/4 -2/1 2 9 -0.269707 In -0.318087 -0.221328 17/4 0 9 19/4 0 9 21/4 -2/1 2 9 -0.191871 In -0.222933 -0.160809 23/4 0 9 25/4 0 9 27/4 -2/1 2 9 -0.148939 In -0.171600 -0.126279 29/4 0 9 31/4 0 9 33/4 -2/1 2 9 -0.121720 In -0.139482 -0.103957 35/4 0 9 37/4 0 9 39/4 -2/1 2 9 -0.102916 In -0.117492 -0.088341 41/4 0 9 43/4 0 9 45/4 -2/1 2 9 -0.089147 In -0.101491 -0.076804 47/4 0 9 49/4 0 9 -49/5 0 9 -48/5 -2/3 2 9 0.103628 In 0.076201 0.131055 -47/5 0 9 -46/5 0 9 -44/5 0 9 -43/5 0 9 -42/5 2/1 2 9 0.119360 In 0.105456 0.133263 -41/5 0 9 -39/5 -2/1 2 9 0.127988 In 0.118994 0.136981 -38/5 0 9 -37/5 0 9 -36/5 -2/1 2 9 0.138641 In 0.129177 0.148105 -34/5 0 9 -33/5 -2/3 2 9 0.150414 In 0.111856 0.188971 -32/5 0 9 -31/5 0 9 -29/5 0 9 -28/5 0 9 -27/5 2/1 2 9 0.186022 In 0.162067 0.209977 -26/5 0 9 -24/5 -2/1 2 9 0.207883 In 0.196407 0.219358 -23/5 0 9 -22/5 0 9 -21/5 -2/1 2 9 0.237566 In 0.225784 0.249348 -19/5 0 9 -18/5 -2/3 2 9 0.274415 In 0.210221 0.338609 -17/5 0 9 -16/5 0 9 -14/5 0 9 -13/5 0 9 -12/5 2/1 2 9 0.422360 In 0.349893 0.494828 -11/5 0 9 -9/5 -2/1 2 9 0.556172 In 0.550288 0.562056 -8/5 0 9 -7/5 0 9 -6/5 -2/1 2 9 0.841772 In 0.788068 0.895476 -4/5 0 9 -3/5 -2/3 2 9 1.684932 In 1.626813 1.743050 -2/5 0 9 -1/5 0 9 1/5 0 9 2/5 0 9 3/5 2/1 2 9 -1.794521 In -2.201349 -1.387692 4/5 0 9 6/5 -2/1 2 9 -0.867089 In -1.081906 -0.652271 7/5 0 9 8/5 0 9 9/5 -2/1 2 9 -0.567268 In -0.679071 -0.455464 11/5 0 9 12/5 -2/3 2 9 -0.428571 In -0.580094 -0.277049 13/5 0 9 14/5 0 9 16/5 0 9 17/5 0 9 18/5 2/1 2 9 -0.277166 In -0.288838 -0.265495 19/5 0 9 21/5 -2/1 2 9 -0.239586 In -0.272790 -0.206382 22/5 0 9 23/5 0 9 24/5 -2/1 2 9 -0.209428 In -0.237297 -0.181559 26/5 0 9 27/5 -2/3 2 9 -0.187242 In -0.246159 -0.128326 28/5 0 9 29/5 0 9 31/5 0 9 32/5 0 9 33/5 2/1 2 9 -0.151230 In -0.161195 -0.141266 34/5 0 9 36/5 -2/1 2 9 -0.139327 In -0.156071 -0.122584 37/5 0 9 38/5 0 9 39/5 -2/1 2 9 -0.128572 In -0.143768 -0.113377 41/5 0 9 42/5 -2/3 2 9 -0.119864 In -0.156226 -0.083501 43/5 0 9 44/5 0 9 46/5 0 9 47/5 0 9 48/5 2/1 2 9 -0.104014 In -0.111792 -0.096236 49/5 0 9 -49/6 -1/1 2 3 0.122205 In 0.107578 0.136832 -47/6 1/0 4 3 0.127737 In 0.124598 0.130875 -43/6 -1/1 4 3 0.138914 In 0.115791 0.162037 -41/6 1/0 2 3 0.146400 In 0.143484 0.149315 -37/6 0 3 -35/6 0 3 -31/6 -1/1 2 3 0.192989 In 0.171733 0.214244 -29/6 1/0 4 3 0.207225 In 0.198974 0.215476 -25/6 -1/1 4 3 0.238375 In 0.203197 0.273553 -23/6 1/0 2 3 0.261199 In 0.251926 0.270471 -19/6 0 3 -17/6 0 3 -13/6 -1/1 2 3 0.459406 In 0.425453 0.493359 -11/6 1/0 4 3 0.551532 In 0.493636 0.609428 -7/6 -1/1 4 3 0.853147 In 0.828922 0.877371 -5/6 1/0 2 3 1.232877 In 1.031549 1.434205 -1/6 0 3 1/6 0 3 5/6 -1/1 2 3 -1.260274 In -1.629375 -0.891173 7/6 1/0 4 3 -0.881119 In -1.026466 -0.735772 11/6 -1/1 4 3 -0.562674 In -0.726712 -0.398636 13/6 1/0 2 3 -0.463366 In -0.492469 -0.434263 17/6 0 3 19/6 0 3 23/6 -1/1 2 3 -0.262461 In -0.307278 -0.217643 25/6 1/0 4 3 -0.240513 In -0.251622 -0.229404 29/6 -1/1 4 3 -0.208813 In -0.256945 -0.160681 31/6 1/0 2 3 -0.193683 In -0.198784 -0.188581 35/6 0 3 37/6 0 3 41/6 -1/1 2 3 -0.146796 In -0.169634 -0.123958 43/6 1/0 4 3 -0.139636 In -0.143385 -0.135886 47/6 -1/1 4 3 -0.128341 In -0.156062 -0.100619 49/6 1/0 2 3 -0.122483 In -0.124524 -0.120442 -50/7 0 9 -48/7 0/1 2 9 0.145833 In 0.136012 0.155654 -47/7 0 9 -46/7 0 9 -45/7 0/1 2 9 0.155556 In 0.145080 0.166031 -44/7 0 9 -43/7 0 9 -41/7 0 9 -40/7 0 9 -39/7 0/1 2 9 0.179487 In 0.167400 0.191574 -38/7 0 9 -37/7 0 9 -36/7 0/1 2 9 0.194444 In 0.181350 0.207539 -34/7 0 9 -33/7 -2/1 2 9 0.211886 In 0.203655 0.220117 -32/7 0 9 -31/7 0 9 -30/7 -2/1 2 9 0.233070 In 0.224681 0.241459 -29/7 0 9 -27/7 0/1 2 9 0.259259 In 0.241800 0.276719 -26/7 0 9 -25/7 0 9 -24/7 0/1 2 9 0.291667 In 0.272025 0.311309 -23/7 0 9 -22/7 0 9 -20/7 0 9 -19/7 0 9 -18/7 0/1 2 9 0.388889 In 0.362700 0.415078 -17/7 0 9 -16/7 0 9 -15/7 0/1 2 9 0.466667 In 0.435240 0.498094 -13/7 0 9 -12/7 -2/1 2 9 0.583851 In 0.577263 0.590439 -11/7 0 9 -10/7 0 9 -9/7 -2/1 2 9 0.780860 In 0.751438 0.810282 -8/7 0 9 -6/7 0/1 2 9 1.166667 In 1.088099 1.245234 -5/7 0 9 -4/7 0 9 -3/7 0/1 2 9 2.333333 In 2.176198 2.490468 -2/7 0 9 -1/7 0 9 1/7 0 9 2/7 0 9 3/7 0/1 2 9 -2.333333 In -2.490468 -2.176198 4/7 0 9 5/7 0 9 6/7 0/1 2 9 -1.166667 In -1.245234 -1.088099 8/7 0 9 9/7 -2/1 2 9 -0.791956 In -0.927296 -0.656615 10/7 0 9 11/7 0 9 12/7 -2/1 2 9 -0.590062 In -0.675705 -0.504419 13/7 0 9 15/7 0/1 2 9 -0.466667 In -0.498094 -0.435240 16/7 0 9 17/7 0 9 18/7 0/1 2 9 -0.388889 In -0.415078 -0.362700 19/7 0 9 20/7 0 9 22/7 0 9 23/7 0 9 24/7 0/1 2 9 -0.291667 In -0.311309 -0.272025 25/7 0 9 26/7 0 9 27/7 0/1 2 9 -0.259259 In -0.276719 -0.241800 29/7 0 9 30/7 -2/1 2 9 -0.234058 In -0.257128 -0.210989 31/7 0 9 32/7 0 9 33/7 -2/1 2 9 -0.212703 In -0.233065 -0.192341 34/7 0 9 36/7 0/1 2 9 -0.194444 In -0.207539 -0.181350 37/7 0 9 38/7 0 9 39/7 0/1 2 9 -0.179487 In -0.191574 -0.167400 40/7 0 9 41/7 0 9 43/7 0 9 44/7 0 9 45/7 0/1 2 9 -0.155556 In -0.166031 -0.145080 46/7 0 9 47/7 0 9 48/7 0/1 2 9 -0.145833 In -0.155654 -0.136012 50/7 0 9 -49/8 0 9 -47/8 0 9 -45/8 0/1 2 9 0.177778 In 0.167302 0.188253 -43/8 0 9 -41/8 0 9 -39/8 0/1 2 9 0.205128 In 0.193041 0.217216 -37/8 0 9 -35/8 0 9 -33/8 0/1 2 9 0.242424 In 0.228139 0.256709 -31/8 0 9 -29/8 0 9 -27/8 0/1 2 9 0.296296 In 0.278837 0.313756 -25/8 0 9 -23/8 0 9 -21/8 0/1 2 9 0.380952 In 0.358505 0.403400 -19/8 0 9 -17/8 0 9 -15/8 0/1 2 9 0.533333 In 0.501906 0.564760 -13/8 0 9 -11/8 0 9 -9/8 0/1 2 9 0.888889 In 0.836511 0.941267 -7/8 0 9 -5/8 0 9 -3/8 0/1 2 9 2.666667 In 2.509532 2.823802 -1/8 0 9 1/8 0 9 3/8 0/1 2 9 -2.666667 In -2.823802 -2.509532 5/8 0 9 7/8 0 9 9/8 0/1 2 9 -0.888889 In -0.941267 -0.836511 11/8 0 9 13/8 0 9 15/8 0/1 2 9 -0.533333 In -0.564760 -0.501906 17/8 0 9 19/8 0 9 21/8 0/1 2 9 -0.380952 In -0.403400 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