SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/1 1 1 -0.500000 Right -50/1 0 21 -49/1 0 21 -48/1 0 21 -47/1 0 21 -46/1 0 21 -45/1 0 21 -44/1 0 21 -43/1 0 21 -42/1 0 21 -41/1 0 21 -40/1 0 21 -39/1 0 21 -38/1 0 21 -37/1 0 21 -36/1 0 21 -35/1 0 21 -34/1 0 21 -33/1 0 21 -32/1 0 21 -31/1 0 21 -30/1 0 21 -29/1 0 21 -28/1 0 21 -27/1 0 21 -26/1 0 21 -25/1 0 21 -24/1 0 21 -23/1 0 21 -22/1 0 21 -21/1 0 21 -20/1 0 21 -19/1 0 21 -18/1 0 21 -17/1 0 21 -16/1 0 21 -15/1 0 21 -14/1 0 21 -13/1 0 21 -12/1 0 21 -11/1 0 21 -10/1 0 21 -9/1 0 21 -8/1 0 21 -7/1 0 21 -6/1 0 21 -5/1 0 21 -4/1 0 21 -3/1 0 21 -2/1 0 21 -1/1 0 21 0/1 0 21 1/1 0 21 2/1 0 21 3/1 0 21 4/1 0 21 5/1 0 21 6/1 0 21 7/1 0 21 8/1 0 21 9/1 0 21 10/1 0 21 11/1 0 21 12/1 0 21 13/1 0 21 14/1 0 21 15/1 0 21 16/1 0 21 17/1 0 21 18/1 0 21 19/1 0 21 20/1 0 21 21/1 0 21 22/1 0 21 23/1 0 21 24/1 0 21 25/1 0 21 26/1 0 21 27/1 0 21 28/1 0 21 29/1 0 21 30/1 0 21 31/1 0 21 32/1 0 21 33/1 0 21 34/1 0 21 35/1 0 21 36/1 0 21 37/1 0 21 38/1 0 21 39/1 0 21 40/1 0 21 41/1 0 21 42/1 0 21 43/1 0 21 44/1 0 21 45/1 0 21 46/1 0 21 47/1 0 21 48/1 0 21 49/1 0 21 50/1 0 21 -49/2 25/24 1 21 0.053378 In -0.059447 0.166203 -47/2 25/24 1 21 0.056245 In -0.061714 0.174204 -45/2 23/22 1 21 0.057053 In -0.055995 0.170101 -43/2 23/22 1 21 0.060366 In -0.058327 0.179058 -41/2 21/20 1 21 0.061446 In -0.051870 0.174761 -39/2 21/20 1 21 0.065333 In -0.054250 0.184917 -37/2 19/18 1 21 0.066789 In -0.046855 0.180433 -35/2 19/18 1 21 0.071440 In -0.049249 0.192129 -33/2 17/16 1 21 0.073428 In -0.040629 0.187485 -31/2 17/16 1 21 0.079127 In -0.042970 0.201225 -29/2 15/14 1 21 0.081900 In -0.032691 0.196490 -27/2 15/14 1 21 0.089101 In -0.034851 0.213053 -25/2 13/12 1 21 0.093084 In -0.022223 0.208391 -23/2 13/12 1 21 0.102559 In -0.023943 0.229062 -21/2 11/10 1 21 0.108534 In -0.007785 0.224853 -19/2 11/10 1 21 0.121716 In -0.008513 0.251945 -17/2 9/8 1 21 0.131263 In 0.013407 0.249118 -15/2 9/8 1 21 0.151163 In 0.014988 0.287338 -13/2 7/6 1 21 0.168000 In 0.047544 0.288456 -11/2 7/6 1 21 0.202247 In 0.055134 0.349360 -9/2 5/4 1 21 0.237470 In 0.111695 0.363245 -7/2 5/4 1 21 0.312749 In 0.139305 0.486193 -5/2 3/2 1 21 0.418605 In 0.276509 0.560700 -3/2 3/2 1 21 0.733333 In 0.427828 1.038838 -1/2 1/0 1 21 2.100000 In 1.641742 2.558258 1/2 1/0 1 21 -2.100000 In -2.558258 -1.641742 3/2 1/2 1 21 -0.659574 In -0.757076 -0.562073 5/2 1/2 1 21 -0.396947 In -0.466910 -0.326984 7/2 3/4 1 21 -0.276471 In -0.375310 -0.177631 9/2 3/4 1 21 -0.216312 In -0.297563 -0.135061 11/2 5/6 1 21 -0.171701 In -0.273698 -0.069704 13/2 5/6 1 21 -0.146425 In -0.234851 -0.057998 15/2 7/8 1 21 -0.122754 In -0.226637 -0.018872 17/2 7/8 1 21 -0.109302 In -0.202172 -0.016433 19/2 9/10 1 21 -0.094400 In -0.199494 0.010694 21/2 9/10 1 21 -0.086275 In -0.182119 0.009570 23/2 11/12 1 21 -0.075901 In -0.181832 0.030030 25/2 11/12 1 21 -0.070594 In -0.168560 0.027373 27/2 13/14 1 21 -0.062880 In -0.169423 0.043664 29/2 13/14 1 21 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-0.013488 0.288100 -25/3 0 7 -23/3 0 7 -22/3 8/7 1 7 0.155836 In 0.014157 0.297516 -20/3 8/7 1 7 0.173977 In 0.015386 0.332567 -19/3 0 7 -17/3 0 7 -16/3 6/5 1 7 0.208428 In 0.060772 0.356084 -14/3 6/5 1 7 0.242515 In 0.068244 0.416786 -13/3 0 7 -11/3 0 7 -10/3 4/3 1 7 0.324561 In 0.162103 0.487020 -8/3 4/3 1 7 0.416667 In 0.196187 0.637146 -7/3 0 7 -5/3 0 7 -4/3 2/1 1 7 0.796296 In 0.551319 1.041273 -2/3 2/1 1 7 1.833333 In 0.951416 2.715250 -1/3 0 7 1/3 0 7 2/3 0/1 1 7 -1.500000 In -1.688982 -1.311018 4/3 0/1 1 7 -0.750000 In -0.844491 -0.655509 5/3 0 7 7/3 0 7 8/3 2/3 1 7 -0.364865 In -0.472125 -0.257605 10/3 2/3 1 7 -0.293103 In -0.384336 -0.201871 11/3 0 7 13/3 0 7 14/3 4/5 1 7 -0.202065 In -0.315231 -0.088899 16/3 4/5 1 7 -0.177928 In -0.279229 -0.076627 17/3 0 7 19/3 0 7 20/3 6/7 1 7 -0.136758 In -0.253539 -0.019978 22/3 6/7 1 7 -0.125298 In -0.232644 -0.017953 23/3 0 7 25/3 0 7 26/3 8/9 1 7 -0.101542 In -0.220567 0.017482 28/3 8/9 1 7 -0.095133 In -0.206348 0.016082 29/3 0 7 31/3 0 7 32/3 10/11 1 7 -0.079513 In -0.200047 0.041020 34/3 10/11 1 7 -0.075576 In -0.189457 0.038306 35/3 0 7 37/3 0 7 38/3 12/13 1 7 -0.064432 In -0.186045 0.057181 40/3 12/13 1 7 -0.061867 In -0.177690 0.053957 41/3 0 7 43/3 0 7 44/3 14/15 1 7 -0.053459 In -0.175882 0.068963 46/3 14/15 1 7 -0.051724 In -0.169023 0.065575 47/3 0 7 49/3 0 7 50/3 16/17 1 7 -0.045117 In -0.168168 0.077934 -49/4 11/10 1 21 0.084016 In 0.035366 0.132666 -47/4 15/14 1 21 0.090070 In 0.018796 0.161344 -45/4 13/12 1 21 0.092927 In 0.028877 0.156976 -43/4 11/10 1 21 0.096156 In 0.040040 0.152272 -41/4 9/8 1 21 0.099830 In 0.052469 0.147191 -39/4 13/12 1 21 0.108020 In 0.033018 0.183021 -37/4 11/10 1 21 0.112407 In 0.046137 0.178678 -35/4 9/8 1 21 0.117454 In 0.060985 0.173923 -33/4 7/6 1 21 0.123313 In 0.077929 0.168697 -31/4 11/10 1 21 0.135294 In 0.054425 0.216163 -29/4 9/8 1 21 0.142662 In 0.072803 0.212522 -27/4 7/6 1 21 0.151376 In 0.094319 0.208433 -25/4 5/4 1 21 0.161832 In 0.119854 0.203810 -23/4 9/8 1 21 0.181719 In 0.090300 0.273138 -21/4 7/6 1 21 0.196049 In 0.119440 0.272657 -19/4 5/4 1 21 0.213870 In 0.155648 0.272092 -17/4 3/2 1 21 0.236634 In 0.201848 0.271419 -15/4 7/6 1 21 0.278443 In 0.162801 0.394086 -13/4 5/4 1 21 0.315551 In 0.221922 0.409179 -11/4 3/2 1 21 0.367299 In 0.305763 0.428834 -9/4 1/0 1 21 0.444706 In 0.433923 0.455488 -7/4 5/4 1 21 0.605578 In 0.386490 0.824665 -5/4 3/2 1 21 0.825581 In 0.630200 1.020963 -3/4 1/0 1 21 1.340426 In 1.242924 1.437927 -1/4 1/2 1 21 4.300000 In 2.925227 5.674773 1/4 3/2 1 21 -6.500000 In -10.318813 -2.681187 3/4 1/0 1 21 -1.340426 In -1.437927 -1.242924 5/4 1/2 1 21 -0.797710 In -0.850182 -0.745238 7/4 3/4 1 21 -0.564706 In -0.636589 -0.492822 9/4 1/0 1 21 -0.444706 In -0.455488 -0.433923 11/4 1/2 1 21 -0.362992 In -0.395467 -0.330517 13/4 3/4 1 21 -0.305085 In -0.356865 -0.253304 15/4 5/6 1 21 -0.261702 In -0.329953 -0.193451 17/4 1/2 1 21 -0.235003 In -0.257659 -0.212347 19/4 3/4 1 21 -0.209192 In -0.247925 -0.170459 21/4 5/6 1 21 -0.187744 In -0.240337 -0.135150 23/4 7/8 1 21 -0.169620 In -0.234257 -0.104984 25/4 3/4 1 21 -0.159195 In -0.189941 -0.128449 27/4 5/6 1 21 -0.146428 In -0.189003 -0.103852 29/4 7/8 1 21 -0.135135 In -0.188215 -0.082055 31/4 9/10 1 21 -0.125075 In -0.187544 -0.062606 33/4 5/6 1 21 -0.120032 In -0.155739 -0.084324 35/4 7/8 1 21 -0.112323 In -0.157299 -0.067347 37/4 9/10 1 21 -0.105274 In -0.158664 -0.051884 39/4 11/12 1 21 -0.098806 In -0.159868 -0.037743 41/4 7/8 1 21 -0.096108 In -0.135106 -0.057110 43/4 9/10 1 21 -0.090895 In -0.137492 -0.044298 45/4 11/12 1 21 -0.086030 In -0.139632 -0.032427 47/4 13/14 1 21 -0.081480 In -0.141563 -0.021397 49/4 9/10 1 21 -0.079976 In -0.121305 -0.038647 -49/5 0 21 -48/5 0 21 -47/5 0 21 -46/5 0 21 -44/5 0 21 -43/5 0 21 -42/5 0 21 -41/5 0 21 -39/5 0 21 -38/5 0 21 -37/5 0 21 -36/5 0 21 -34/5 0 21 -33/5 0 21 -32/5 0 21 -31/5 0 21 -29/5 0 21 -28/5 0 21 -27/5 0 21 -26/5 0 21 -24/5 0 21 -23/5 0 21 -22/5 0 21 -21/5 0 21 -19/5 0 21 -18/5 0 21 -17/5 0 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0.290125 0.342496 -17/6 1/1 1 7 0.353610 In 0.323515 0.383705 -13/6 1/1 1 7 0.462775 In 0.420246 0.505304 -11/6 1/1 1 7 0.547281 In 0.494116 0.600447 -7/6 1/1 1 7 0.862573 In 0.762004 0.963143 -5/6 1/1 1 7 1.212644 In 1.045384 1.379904 -1/6 1/1 1 7 7.166667 In 4.079957 10.253377 1/6 1/1 1 7 -6.833333 In -9.038126 -4.628541 5/6 1/1 1 7 -1.201149 In -1.216355 -1.185944 7/6 1/1 1 7 -0.856725 In -0.864461 -0.848989 11/6 1/1 1 7 -0.544917 In -0.560554 -0.529280 13/6 1/1 1 7 -0.461083 In -0.476751 -0.445414 17/6 1/1 1 7 -0.352621 In -0.367014 -0.338228 19/6 1/1 1 7 -0.315519 In -0.329135 -0.301902 23/6 1/1 1 7 -0.260670 In -0.272819 -0.248520 25/6 1/1 1 7 -0.239826 In -0.251319 -0.228333 29/6 1/1 1 7 -0.206762 In -0.217100 -0.196423 31/6 1/1 1 7 -0.193428 In -0.203263 -0.183594 35/6 1/1 1 7 -0.171332 In -0.180281 -0.162383 37/6 1/1 1 7 -0.162075 In -0.170634 -0.153515 41/6 1/1 1 7 -0.146269 In -0.154139 -0.138399 43/6 1/1 1 7 -0.139468 In -0.147032 -0.131904 47/6 1/1 1 7 -0.127603 In -0.134619 -0.120588 49/6 1/1 1 7 -0.122397 In -0.129166 -0.115627 -50/7 9/8 1 3 0.151233 In 0.043141 0.259326 -48/7 7/6 1 3 0.152994 In 0.067944 0.238045 -47/7 7/6 2 3 0.164037 In 0.039856 0.288219 -46/7 7/6 3 3 0.176101 In 0.018868 0.333333 -45/7 7/6 2 3 0.172160 In 0.041428 0.302892 -44/7 0 3 -43/7 0 3 -41/7 0 3 -40/7 0 3 -39/7 7/6 2 3 0.202240 In 0.046986 0.357493 -38/7 7/6 3 3 0.220789 In 0.022222 0.419355 -37/7 7/6 2 3 0.214767 In 0.049186 0.380347 -36/7 7/6 1 3 0.207867 In 0.088306 0.327427 -34/7 5/4 1 3 0.213186 In 0.127162 0.299210 -33/7 5/4 2 3 0.227852 In 0.100695 0.355009 -32/7 5/4 3 3 0.244244 In 0.081081 0.407407 -31/7 5/4 2 3 0.243911 In 0.106435 0.381387 -30/7 0 3 -29/7 0 3 -27/7 0 3 -26/7 0 3 -25/7 5/4 2 3 0.309589 In 0.128394 0.490784 -24/7 5/4 3 3 0.341198 In 0.103448 0.578947 -23/7 5/4 2 3 0.340273 In 0.137876 0.542671 -22/7 5/4 1 3 0.337772 In 0.188478 0.487065 -20/7 3/2 1 3 0.357683 In 0.268971 0.446394 -19/7 3/2 2 3 0.385915 In 0.250216 0.521615 -18/7 3/2 3 3 0.419048 In 0.238095 0.600000 -17/7 3/2 2 3 0.434629 In 0.275946 0.593312 -16/7 0 3 -15/7 0 3 -13/7 0 3 -12/7 0 3 -11/7 3/2 2 3 0.704348 In 0.399049 1.009647 -10/7 3/2 3 3 0.835165 In 0.384615 1.285714 -9/7 3/2 2 3 0.893333 In 0.468755 1.317912 -8/7 3/2 1 3 0.950820 In 0.600624 1.301016 -6/7 1/0 1 3 1.177570 In 1.064258 1.290882 -5/7 1/0 2 3 1.438356 In 1.203474 1.673239 -4/7 1/0 3 3 1.866667 In 1.400000 2.333333 -3/7 1/0 2 3 2.520000 In 1.834143 3.205857 -2/7 0 3 -1/7 0 3 1/7 0 3 2/7 0 3 3/7 1/0 2 3 -2.520000 In -3.205857 -1.834143 4/7 1/0 3 3 -1.866667 In -2.333333 -1.400000 5/7 1/0 2 3 -1.438356 In -1.673239 -1.203474 6/7 1/0 1 3 -1.177570 In -1.290882 -1.064258 8/7 1/2 1 3 -0.869110 In -0.950725 -0.787495 9/7 1/2 2 3 -0.767635 In -0.879437 -0.655832 10/7 1/2 3 3 -0.686869 In -0.818182 -0.555556 11/7 1/2 2 3 -0.628809 In -0.730588 -0.527030 12/7 0 3 13/7 0 3 15/7 0 3 16/7 0 3 17/7 1/2 2 3 -0.408092 In -0.484551 -0.331634 18/7 1/2 3 3 -0.383901 In -0.473684 -0.294118 19/7 1/2 2 3 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