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 30 -49/1 0 30 -48/1 0 30 -47/1 0 30 -46/1 0 30 -45/1 0 30 -44/1 0 30 -43/1 0 30 -42/1 0 30 -41/1 0 30 -40/1 0 30 -39/1 0 30 -38/1 0 30 -37/1 0 30 -36/1 0 30 -35/1 0 30 -34/1 0 30 -33/1 0 30 -32/1 0 30 -31/1 0 30 -30/1 0 30 -29/1 0 30 -28/1 0 30 -27/1 0 30 -26/1 0 30 -25/1 0 30 -24/1 0 30 -23/1 0 30 -22/1 0 30 -21/1 0 30 -20/1 0 30 -19/1 0 30 -18/1 0 30 -17/1 0 30 -16/1 0 30 -15/1 0 30 -14/1 0 30 -13/1 0 30 -12/1 0 30 -11/1 0 30 -10/1 0 30 -9/1 0 30 -8/1 0 30 -7/1 0 30 -6/1 0 30 -5/1 0 30 -4/1 0 30 -3/1 0 30 -2/1 0 30 -1/1 0 30 0/1 0 30 1/1 0 30 2/1 0 30 3/1 0 30 4/1 0 30 5/1 0 30 6/1 0 30 7/1 0 30 8/1 0 30 9/1 0 30 10/1 0 30 11/1 0 30 12/1 0 30 13/1 0 30 14/1 0 30 15/1 0 30 16/1 0 30 17/1 0 30 18/1 0 30 19/1 0 30 20/1 0 30 21/1 0 30 22/1 0 30 23/1 0 30 24/1 0 30 25/1 0 30 26/1 0 30 27/1 0 30 28/1 0 30 29/1 0 30 30/1 0 30 31/1 0 30 32/1 0 30 33/1 0 30 34/1 0 30 35/1 0 30 36/1 0 30 37/1 0 30 38/1 0 30 39/1 0 30 40/1 0 30 41/1 0 30 42/1 0 30 43/1 0 30 44/1 0 30 45/1 0 30 46/1 0 30 47/1 0 30 48/1 0 30 49/1 0 30 50/1 0 30 -49/2 0 15 -47/2 0 15 -45/2 0 15 -43/2 0 15 -41/2 0 15 -39/2 0 15 -37/2 0 15 -35/2 0 15 -33/2 0 15 -31/2 0 15 -29/2 0 15 -27/2 0 15 -25/2 0 15 -23/2 0 15 -21/2 0 15 -19/2 0 15 -17/2 0 15 -15/2 0 15 -13/2 0 15 -11/2 0 15 -9/2 0 15 -7/2 0 15 -5/2 0 15 -3/2 0 15 -1/2 0 15 1/2 0 15 3/2 0 15 5/2 0 15 7/2 0 15 9/2 0 15 11/2 0 15 13/2 0 15 15/2 0 15 17/2 0 15 19/2 0 15 21/2 0 15 23/2 0 15 25/2 0 15 27/2 0 15 29/2 0 15 31/2 0 15 33/2 0 15 35/2 0 15 37/2 0 15 39/2 0 15 41/2 0 15 43/2 0 15 45/2 0 15 47/2 0 15 49/2 0 15 -50/3 1/0 1 10 0.060002 In 0.059623 0.060382 -49/3 1/0 1 10 0.061227 In 0.060832 0.061622 -47/3 1/0 1 10 0.063833 In 0.063403 0.064262 -46/3 1/0 1 10 0.065220 In 0.064772 0.065669 -44/3 1/0 1 10 0.068185 In 0.067695 0.068675 -43/3 1/0 1 10 0.069771 In 0.069258 0.070284 -41/3 1/0 1 10 0.073175 In 0.072611 0.073739 -40/3 1/0 1 10 0.075005 In 0.074412 0.075598 -38/3 1/0 1 10 0.078953 In 0.078296 0.079610 -37/3 1/0 1 10 0.081087 In 0.080394 0.081780 -35/3 1/0 1 10 0.085721 In 0.084947 0.086496 -34/3 1/0 1 10 0.088243 In 0.087422 0.089064 -32/3 1/0 1 10 0.093759 In 0.092833 0.094686 -31/3 1/0 1 10 0.096784 In 0.095797 0.097772 -29/3 1/0 1 10 0.103461 In 0.102332 0.104589 -28/3 1/0 1 10 0.107157 In 0.105946 0.108367 -26/3 1/0 1 10 0.115402 In 0.113998 0.116805 -25/3 1/0 1 10 0.120019 In 0.118501 0.121537 -23/3 1/0 1 10 0.130459 In 0.128666 0.132253 -22/3 1/0 1 10 0.136392 In 0.134431 0.138352 -20/3 1/0 1 10 0.150038 In 0.147665 0.152410 -19/3 1/0 1 10 0.157938 In 0.155310 0.160567 -17/3 1/0 1 10 0.176532 In 0.173248 0.179815 -16/3 1/0 1 10 0.187573 In 0.183866 0.191281 -14/3 1/0 1 10 0.214395 In 0.209552 0.219238 -13/3 1/0 1 10 0.230906 In 0.225289 0.236523 -11/3 1/0 1 10 0.272953 In 0.265106 0.280800 -10/3 1/0 1 10 0.300300 In 0.290804 0.309797 -8/3 1/0 1 10 0.375587 In 0.360740 0.390433 -7/3 1/0 1 10 0.429448 In 0.410047 0.448848 -5/3 1/0 1 10 0.602410 In 0.564310 0.640509 -4/3 1/0 1 10 0.754717 In 0.695051 0.814383 -2/3 1/0 1 10 1.538462 In 1.295209 1.781714 -1/3 1/0 1 10 3.333333 In 2.279241 4.387426 1/3 1/0 1 10 -3.333333 In -4.387426 -2.279241 2/3 1/0 1 10 -1.538462 In -1.781714 -1.295209 4/3 1/0 1 10 -0.754717 In -0.814383 -0.695051 5/3 1/0 1 10 -0.602410 In -0.640509 -0.564310 7/3 1/0 1 10 -0.429448 In -0.448848 -0.410047 8/3 1/0 1 10 -0.375587 In -0.390433 -0.360740 10/3 1/0 1 10 -0.300300 In -0.309797 -0.290804 11/3 1/0 1 10 -0.272953 In -0.280800 -0.265106 13/3 1/0 1 10 -0.230906 In -0.236523 -0.225289 14/3 1/0 1 10 -0.214395 In -0.219238 -0.209552 16/3 1/0 1 10 -0.187573 In -0.191281 -0.183866 17/3 1/0 1 10 -0.176532 In -0.179815 -0.173248 19/3 1/0 1 10 -0.157938 In -0.160567 -0.155310 20/3 1/0 1 10 -0.150038 In -0.152410 -0.147665 22/3 1/0 1 10 -0.136392 In -0.138352 -0.134431 23/3 1/0 1 10 -0.130459 In -0.132253 -0.128666 25/3 1/0 1 10 -0.120019 In -0.121537 -0.118501 26/3 1/0 1 10 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0.106467 -39/4 2/1 2 15 0.102775 In 0.091488 0.114063 -37/4 0/1 2 15 0.108108 In 0.098239 0.117977 -35/4 2/1 2 15 0.114553 In 0.101730 0.127376 -33/4 0/1 2 15 0.121212 In 0.110147 0.132277 -31/4 2/1 2 15 0.129382 In 0.114555 0.144208 -29/4 0/1 2 15 0.137931 In 0.125340 0.150522 -27/4 2/1 2 15 0.148623 In 0.131079 0.166167 -25/4 0/1 2 15 0.160000 In 0.145394 0.174606 -23/4 2/1 2 15 0.174593 In 0.153173 0.196013 -21/4 0/1 2 15 0.190476 In 0.173088 0.207864 -19/4 2/1 2 15 0.211578 In 0.184227 0.238928 -17/4 0/1 2 15 0.235294 In 0.213815 0.256773 -15/4 2/1 2 15 0.268488 In 0.231073 0.305903 -13/4 0/1 2 15 0.307692 In 0.279604 0.335781 -11/4 2/1 2 15 0.367460 In 0.309869 0.425051 -9/4 0/1 2 15 0.444444 In 0.403872 0.485016 -7/4 2/1 2 15 0.583219 In 0.470209 0.696229 -5/4 0/1 2 15 0.800000 In 0.726970 0.873030 -3/4 2/1 2 15 1.448819 In 0.974414 1.923224 -1/4 0/1 2 15 4.000000 In 3.634852 4.365148 1/4 2/1 2 15 -8.000000 In -13.477226 -2.522774 3/4 0/1 2 15 -1.333333 In -1.455049 -1.211617 5/4 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0.229243 -23/5 1/0 1 6 0.217460 In 0.213600 0.221320 -22/5 1/0 1 6 0.227351 In 0.223132 0.231570 -21/5 1/1 1 6 0.238563 In 0.214485 0.262641 -19/5 1/1 1 6 0.263741 In 0.236588 0.290895 -18/5 1/0 1 6 0.277921 In 0.271617 0.284224 -17/5 1/0 1 6 0.294287 In 0.287220 0.301355 -16/5 1/1 1 6 0.313355 In 0.279844 0.346866 -14/5 1/1 1 6 0.358298 In 0.318689 0.397907 -13/5 1/0 1 6 0.384995 In 0.372905 0.397085 -12/5 1/0 1 6 0.417149 In 0.402958 0.431341 -11/5 1/1 1 6 0.456552 In 0.402494 0.510609 -9/5 1/1 1 6 0.558763 In 0.488056 0.629470 -8/5 1/0 1 6 0.626632 In 0.594654 0.658610 -7/5 1/0 1 6 0.716724 In 0.674923 0.758524 -6/5 1/1 1 6 0.841860 In 0.716538 0.967183 -4/5 1/1 1 6 1.273684 In 1.041627 1.505741 -3/5 1/0 1 6 1.698113 In 1.467029 1.929197 -2/5 1/0 1 6 2.608696 In 2.076198 3.141193 -1/5 1/1 1 6 6.200000 In 3.260612 9.139388 1/5 1/1 1 6 -5.800000 In -7.759592 -3.840408 2/5 1/0 1 6 -2.608696 In -3.141193 -2.076198 3/5 1/0 1 6 -1.698113 In -1.929197 -1.467029 4/5 1/1 1 6 -1.252632 In 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0.207471 In 0.181137 0.233804 -25/6 1/1 2 5 0.240794 In 0.209404 0.272184 -23/6 1/1 2 5 0.261824 In 0.227126 0.296521 -19/6 1/1 2 5 0.317249 In 0.273402 0.361096 -17/6 1/1 2 5 0.354816 In 0.304413 0.405220 -13/6 1/1 2 5 0.465006 In 0.393733 0.536279 -11/6 1/1 2 5 0.550580 In 0.461428 0.639733 -7/6 1/1 2 5 0.872428 In 0.703253 1.041603 -5/6 1/1 2 5 1.235772 In 0.952967 1.518578 -1/6 1/1 2 5 10.666667 In 3.288019 18.045315 1/6 1/1 2 5 -9.333333 In -14.603796 -4.062871 5/6 1/1 2 5 -1.203252 In -1.228962 -1.177542 7/6 1/1 2 5 -0.855967 In -0.868981 -0.842954 11/6 1/1 2 5 -0.543947 In -0.570168 -0.517726 13/6 1/1 2 5 -0.460261 In -0.486520 -0.434002 17/6 1/1 2 5 -0.352044 In -0.376150 -0.327938 19/6 1/1 2 5 -0.315031 In -0.337831 -0.292230 23/6 1/1 2 5 -0.260310 In -0.280650 -0.239970 25/6 1/1 2 5 -0.239513 In -0.258752 -0.220274 29/6 1/1 2 5 -0.206519 In -0.223824 -0.189214 31/6 1/1 2 5 -0.193213 In -0.209672 -0.176753 35/6 1/1 2 5 -0.171158 In -0.186135 -0.156181 37/6 1/1 2 5 -0.161917 In 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