SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/1 7 1 -1.166667 Out -1.607625 -0.725708 -50/1 0 22 -49/1 344/343 1 22 -1.817474 Out -3.045385 -0.589564 -48/1 0 22 -47/1 330/329 1 22 -1.817585 Out -3.045997 -0.589172 -46/1 0 22 -45/1 316/315 1 22 -1.817705 Out -3.046664 -0.588746 -44/1 0 22 -43/1 302/301 1 22 -1.817836 Out -3.047393 -0.588280 -42/1 0 22 -41/1 288/287 1 22 -1.817980 Out -3.048191 -0.587769 -40/1 0 22 -39/1 274/273 1 22 -1.818138 Out -3.049071 -0.587205 -38/1 0 22 -37/1 260/259 1 22 -1.818313 Out -3.050044 -0.586581 -36/1 0 22 -35/1 246/245 1 22 -1.818507 Out -3.051128 -0.585886 -34/1 0 22 -33/1 232/231 1 22 -1.818724 Out -3.052341 -0.585106 -32/1 0 22 -31/1 218/217 1 22 -1.818967 Out -3.053708 -0.584226 -30/1 0 22 -29/1 204/203 1 22 -1.819244 Out -3.055262 -0.583226 -28/1 0 22 -27/1 190/189 1 22 -1.819559 Out -3.057042 -0.582077 -26/1 0 22 -25/1 176/175 1 22 -1.819923 Out -3.059101 -0.580745 -24/1 0 22 -23/1 162/161 1 22 -1.820348 Out -3.061513 -0.579183 -22/1 0 22 -21/1 148/147 1 22 -1.820849 Out -3.064374 -0.577324 -20/1 0 22 -19/1 134/133 1 22 -1.821450 Out -3.067825 -0.575075 -18/1 0 22 -17/1 120/119 1 22 -1.822184 Out -3.072067 -0.572300 -16/1 0 22 -15/1 106/105 1 22 -1.823099 Out -3.077408 -0.568790 -14/1 0 22 -13/1 92/91 1 22 -1.824273 Out -3.084341 -0.564206 -12/1 0 22 -11/1 78/77 1 22 -1.825833 Out -3.093698 -0.557968 -10/1 0 22 -9/1 64/63 1 22 -1.828003 Out -3.107023 -0.548983 -8/1 0 22 -7/1 50/49 1 22 -1.831224 Out -3.127520 -0.534927 -6/1 0 22 -5/1 36/35 1 22 -1.836461 Out -3.163107 -0.509815 -4/1 0 22 -3/1 22/21 1 22 -1.846154 Out -3.240159 -0.452149 -2/1 0 22 -1/1 8/7 1 22 -1.857143 Out -3.532291 -0.181994 0/1 0 22 1/1 6/7 1 22 -1.428571 Out -1.763601 -1.093542 2/1 0 22 3/1 20/21 1 22 -1.752475 Out -2.750930 -0.754020 4/1 0 22 5/1 34/35 1 22 -1.782178 Out -2.873513 -0.690844 6/1 0 22 7/1 48/49 1 22 -1.792822 Out -2.921430 -0.664215 8/1 0 22 9/1 62/63 1 22 -1.798254 Out -2.946974 -0.649534 10/1 0 22 11/1 76/77 1 22 -1.801541 Out -2.962849 -0.640234 12/1 0 22 13/1 90/91 1 22 -1.803743 Out -2.973671 -0.633815 14/1 0 22 15/1 104/105 1 22 -1.805319 Out -2.981521 -0.629117 16/1 0 22 17/1 118/119 1 22 -1.806503 Out -2.987476 -0.625530 18/1 0 22 19/1 132/133 1 22 -1.807425 Out -2.992148 -0.622701 20/1 0 22 21/1 146/147 1 22 -1.808163 Out -2.995911 -0.620414 22/1 0 22 23/1 160/161 1 22 -1.808767 Out -2.999008 -0.618526 24/1 0 22 25/1 174/175 1 22 -1.809270 Out -3.001600 -0.616941 26/1 0 22 27/1 188/189 1 22 -1.809696 Out -3.003802 -0.615591 28/1 0 22 29/1 202/203 1 22 -1.810062 Out -3.005695 -0.614429 30/1 0 22 31/1 216/217 1 22 -1.810379 Out -3.007341 -0.613416 32/1 0 22 33/1 230/231 1 22 -1.810656 Out -3.008785 -0.612527 34/1 0 22 35/1 244/245 1 22 -1.810900 Out -3.010061 -0.611740 36/1 0 22 37/1 258/259 1 22 -1.811118 Out -3.011198 -0.611038 38/1 0 22 39/1 272/273 1 22 -1.811312 Out -3.012217 -0.610408 40/1 0 22 41/1 286/287 1 22 -1.811487 Out -3.013136 -0.609839 42/1 0 22 43/1 300/301 1 22 -1.811646 Out -3.013968 -0.609324 44/1 0 22 45/1 314/315 1 22 -1.811790 Out -3.014725 -0.608854 46/1 0 22 47/1 328/329 1 22 -1.811921 Out -3.015418 -0.608425 48/1 0 22 49/1 342/343 1 22 -1.812042 Out -3.016053 -0.608031 50/1 0 22 -49/2 1/1 1 11 0.040856 In 0.034451 0.047260 -47/2 1/1 1 11 0.042596 In 0.035908 0.049284 -45/2 1/1 1 11 0.044491 In 0.037493 0.051490 -43/2 1/1 1 11 0.046563 In 0.039225 0.053901 -41/2 1/1 1 11 0.048837 In 0.041124 0.056550 -39/2 1/1 1 11 0.051345 In 0.043217 0.059473 -37/2 1/1 1 11 0.054124 In 0.045534 0.062714 -35/2 1/1 1 11 0.057221 In 0.048114 0.066329 -33/2 1/1 1 11 0.060695 In 0.051003 0.070386 -31/2 1/1 1 11 0.064617 In 0.054262 0.074971 -29/2 1/1 1 11 0.069081 In 0.057966 0.080196 -27/2 1/1 1 11 0.074208 In 0.062212 0.086204 -25/2 1/1 1 11 0.080157 In 0.067130 0.093184 -23/2 1/1 1 11 0.087143 In 0.072892 0.101395 -21/2 1/1 1 11 0.095464 In 0.079736 0.111192 -19/2 1/1 1 11 0.105542 In 0.087998 0.123085 -17/2 1/1 1 11 0.117999 In 0.098170 0.137828 -15/2 1/1 1 11 0.133791 In 0.111001 0.156581 -13/2 1/1 1 11 0.154467 In 0.127691 0.181243 -11/2 1/1 1 11 0.182707 In 0.150289 0.215125 -9/2 1/1 1 11 0.223596 In 0.182604 0.264587 -7/2 1/1 1 11 0.288104 In 0.232622 0.343587 -5/2 1/1 1 11 0.405109 In 0.320378 0.489841 -3/2 1/1 1 11 0.683673 In 0.514458 0.852889 -1/2 1/1 1 11 2.300000 In 1.305013 3.294987 1/2 1/1 1 11 -2.100000 In -2.431662 -1.768338 3/2 1/1 1 11 -0.663265 In -0.697108 -0.629422 5/2 1/1 1 11 -0.397810 In -0.434124 -0.361497 7/2 1/1 1 11 -0.284387 In -0.315210 -0.253563 9/2 1/1 1 11 -0.221348 In -0.247434 -0.195263 11/2 1/1 1 11 -0.181203 In -0.203646 -0.158760 13/2 1/1 1 11 -0.153391 In -0.173026 -0.133755 15/2 1/1 1 11 -0.132983 In -0.150411 -0.115555 17/2 1/1 1 11 -0.117369 In -0.133024 -0.101715 19/2 1/1 1 11 -0.105038 In -0.119240 -0.090836 21/2 1/1 1 11 -0.095052 In -0.108045 -0.082059 23/2 1/1 1 11 -0.086800 In -0.098771 -0.074828 25/2 1/1 1 11 -0.079866 In -0.090963 -0.068769 27/2 1/1 1 11 -0.073959 In -0.084300 -0.063617 29/2 1/1 1 11 -0.068865 In -0.078546 -0.059184 31/2 1/1 1 11 -0.064428 In -0.073527 -0.055328 33/2 1/1 1 11 -0.060528 In -0.069111 -0.051944 35/2 1/1 1 11 -0.057073 In -0.065196 -0.048950 37/2 1/1 1 11 -0.053991 In -0.061700 -0.046282 39/2 1/1 1 11 -0.051225 In -0.058560 -0.043890 41/2 1/1 1 11 -0.048729 In -0.055725 -0.041733 43/2 1/1 1 11 -0.046465 In -0.053151 -0.039779 45/2 1/1 1 11 -0.044402 In -0.050804 -0.037999 47/2 1/1 1 11 -0.042514 In -0.048656 -0.036371 49/2 1/1 1 11 -0.040780 In -0.046682 -0.034878 -50/3 0 22 -49/3 114/113 1 22 0.404660 In -0.287725 1.097046 -47/3 112/111 1 22 0.430854 In -0.291559 1.153267 -46/3 0 22 -44/3 0 22 -43/3 100/99 1 22 0.415216 In -0.281512 1.111944 -41/3 98/97 1 22 0.446052 In -0.285659 1.177762 -40/3 0 22 -38/3 0 22 -37/3 86/85 1 22 0.429188 In -0.273281 1.131656 -35/3 84/83 1 22 0.466573 In -0.277754 1.210900 -34/3 0 22 -32/3 0 22 -31/3 72/71 1 22 0.448552 In -0.261858 1.158963 -29/3 70/69 1 22 0.495809 In 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0.759634 25/3 56/57 1 22 0.145280 In -0.410199 0.700759 26/3 0 22 28/3 0 22 29/3 68/69 1 22 0.200173 In -0.407168 0.807514 31/3 70/71 1 22 0.180027 In -0.394940 0.754994 32/3 0 22 34/3 0 22 35/3 82/83 1 22 0.222288 In -0.394335 0.838911 37/3 84/85 1 22 0.203712 In -0.384675 0.792098 38/3 0 22 40/3 0 22 41/3 96/97 1 22 0.237917 In -0.385253 0.861087 43/3 98/99 1 22 0.220892 In -0.377297 0.819081 44/3 0 22 46/3 0 22 47/3 110/111 1 22 0.249548 In -0.378488 0.877584 49/3 112/113 1 22 0.233924 In -0.371738 0.839586 50/3 0 22 -49/4 85/84 1 11 0.484520 In -0.285775 1.254815 -47/4 85/84 1 11 0.539300 In -0.293645 1.372244 -45/4 79/78 1 11 0.507796 In -0.283610 1.299202 -43/4 77/76 1 11 0.537405 In -0.285652 1.360462 -41/4 71/70 1 11 0.503643 In -0.274099 1.281385 -39/4 71/70 1 11 0.571942 In -0.283174 1.427058 -37/4 65/64 1 11 0.534244 In -0.270269 1.338757 -35/4 63/62 1 11 0.572901 In -0.272130 1.417932 -33/4 57/56 1 11 0.531959 In -0.256737 1.320654 -31/4 57/56 1 11 0.622234 In -0.267393 1.511862 -29/4 51/50 1 11 0.575338 In -0.249579 1.400255 -27/4 49/48 1 11 0.630117 In -0.250695 1.510930 -25/4 43/42 1 11 0.578193 In -0.228196 1.384583 -23/4 43/42 1 11 0.709824 In -0.240886 1.660534 -21/4 37/36 1 11 0.647904 In -0.213162 1.508969 -19/4 35/34 1 11 0.737800 In -0.211532 1.687133 -17/4 29/28 1 11 0.667237 In -0.172559 1.507032 -15/4 29/28 1 11 0.900857 In -0.187094 1.988807 -13/4 23/22 1 11 0.810526 In -0.132093 1.753146 -11/4 21/20 1 11 1.015730 In -0.117139 2.148600 -9/4 15/14 1 11 0.909910 In -0.016355 1.836174 -7/4 15/14 1 11 1.649682 In -0.019193 3.318556 -5/4 9/8 1 11 1.505155 In 0.205858 2.804451 -3/4 7/6 1 11 3.480000 In 0.428705 6.531295 -1/4 1/0 1 11 4.400000 In 3.073350 5.726650 1/4 1/0 1 11 -4.400000 In -5.726650 -3.073350 3/4 5/6 1 11 -1.378378 In -1.468017 -1.288740 5/4 7/8 1 11 -0.725664 In -0.901768 -0.549560 7/4 13/14 1 11 -0.340541 In -0.752878 0.071797 9/4 13/14 1 11 -0.296399 In -0.636330 0.043532 11/4 19/20 1 11 -0.107216 In -0.599581 0.385148 13/4 21/22 1 11 -0.077574 In -0.550041 0.394893 15/4 27/28 1 11 0.054983 In -0.537679 0.647644 17/4 27/28 1 11 0.003265 In -0.494905 0.501436 19/4 33/34 1 11 0.099237 In -0.492278 0.690751 21/4 35/36 1 11 0.092664 In -0.470778 0.656106 23/4 41/42 1 11 0.171580 In -0.471226 0.814387 25/4 41/42 1 11 0.119754 In -0.446001 0.685508 27/4 47/48 1 11 0.183821 In -0.448678 0.816320 29/4 49/50 1 11 0.171387 In -0.435773 0.778547 31/4 55/56 1 11 0.227405 In -0.438908 0.893719 33/4 55/56 1 11 0.181818 In -0.421205 0.784841 35/4 61/62 1 11 0.229854 In -0.425038 0.884747 37/4 63/64 1 11 0.216772 In -0.416049 0.849592 39/4 69/70 1 11 0.260150 In -0.419799 0.940100 41/4 69/70 1 11 0.220393 In -0.406214 0.847001 43/4 75/76 1 11 0.258801 In -0.410204 0.927806 45/4 77/78 1 11 0.246299 In -0.403391 0.895989 47/4 83/84 1 11 0.281677 In -0.407175 0.970529 49/4 83/84 1 11 0.246696 In -0.396174 0.889566 -49/5 68/67 1 22 0.206357 In -0.146217 0.558931 -48/5 0 22 -47/5 66/65 1 22 0.213824 In -0.145044 0.572692 -46/5 0 22 -44/5 0 22 -43/5 62/61 1 22 0.231091 In -0.142395 0.604577 -42/5 0 22 -41/5 60/59 1 22 0.241148 In -0.140892 0.623187 -39/5 54/53 1 22 0.234139 In -0.124714 0.592991 -38/5 0 22 -37/5 52/51 1 22 0.245203 In -0.122139 0.612546 -36/5 0 22 -34/5 0 22 -33/5 48/47 1 22 0.271820 In -0.116123 0.659764 -32/5 0 22 -31/5 46/45 1 22 0.288027 In -0.112579 0.688633 -29/5 40/39 1 22 0.281032 In -0.088329 0.650393 -28/5 0 22 -27/5 38/37 1 22 0.299849 In -0.082288 0.681986 -26/5 0 22 -24/5 0 22 -23/5 34/33 1 22 0.348407 In -0.067296 0.764110 -22/5 0 22 -21/5 32/31 1 22 0.380502 In -0.057839 0.818844 -19/5 26/25 1 22 0.377099 In -0.013446 0.767644 -18/5 0 22 -17/5 24/23 1 22 0.418886 In 0.004358 0.833414 -16/5 0 22 -14/5 0 22 -13/5 20/19 1 22 0.545509 In 0.054981 1.036038 -12/5 0 22 -11/5 18/17 1 22 0.648417 In 0.092710 1.204125 -9/5 12/11 1 22 0.684982 In 0.229685 1.140278 -8/5 0 22 -7/5 10/9 1 22 0.879346 In 0.337406 1.421285 -6/5 0 22 -4/5 0 22 -3/5 6/5 1 22 2.222222 In 0.919329 3.525115 -2/5 0 22 -1/5 4/3 1 22 20.333333 In 2.353406 38.313260 1/5 2/3 1 22 -5.777778 In -7.601828 -3.953727 2/5 0 22 3/5 4/5 1 22 -1.703297 In -1.832154 -1.574439 4/5 0 22 6/5 0 22 7/5 8/9 1 22 -0.688363 In -0.794753 -0.581973 8/5 0 22 9/5 10/11 1 22 -0.523187 In -0.659828 -0.386546 11/5 16/17 1 22 -0.389859 In -0.598452 -0.181266 12/5 0 22 13/5 18/19 1 22 -0.320566 In -0.537535 -0.103596 14/5 0 22 16/5 0 22 17/5 22/23 1 22 -0.232210 In -0.456590 -0.007830 18/5 0 22 19/5 24/25 1 22 -0.202281 In -0.428333 0.023771 21/5 30/31 1 22 -0.156783 In -0.423756 0.110191 22/5 0 22 23/5 32/33 1 22 -0.138873 In -0.403576 0.125830 24/5 0 22 26/5 0 22 27/5 36/37 1 22 -0.111111 In -0.371690 0.149468 28/5 0 22 29/5 38/39 1 22 -0.100129 In -0.358875 0.158617 31/5 44/45 1 22 -0.074456 In -0.361410 0.212498 32/5 0 22 33/5 46/47 1 22 -0.067210 In -0.350885 0.216465 34/5 0 22 36/5 0 22 37/5 50/51 1 22 -0.055037 In -0.333051 0.222978 38/5 0 22 39/5 52/53 1 22 -0.049873 In -0.325430 0.225684 41/5 58/59 1 22 -0.032364 In -0.329404 0.264677 42/5 0 22 43/5 60/61 1 22 -0.028858 In -0.322721 0.265004 44/5 0 22 46/5 0 22 47/5 64/65 1 22 -0.022696 In -0.310959 0.265568 48/5 0 22 49/5 66/67 1 22 -0.019973 In -0.305757 0.265811 -49/6 1/1 1 11 0.122491 In 0.115584 0.129398 -47/6 1/1 1 11 0.127706 In 0.120472 0.134940 -43/6 103/101 1 11 1.360843 In -0.330193 3.051878 -41/6 97/95 1 11 1.312596 In -0.322344 2.947537 -37/6 1/1 1 11 0.162239 In 0.152768 0.171710 -35/6 1/1 1 11 0.171516 In 0.161423 0.181608 -31/6 75/73 1 11 1.520623 In -0.298626 3.339871 -29/6 69/67 1 11 1.455902 In -0.285141 3.196945 -25/6 1/1 1 11 0.240180 In 0.225223 0.255138 -23/6 1/1 1 11 0.261086 In 0.244554 0.277618 -19/6 47/45 1 11 1.912032 In -0.228151 4.052215 -17/6 41/39 1 11 1.816422 In -0.196136 3.828980 -13/6 1/1 1 11 0.462325 In 0.428409 0.496241 -11/6 1/1 1 11 0.546617 In 0.504224 0.589009 -7/6 19/17 1 11 4.410112 In 0.068688 8.751537 -5/6 13/11 1 11 4.462264 In 0.300839 8.623690 -1/6 1/1 1 11 6.700000 In 4.378363 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