SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 6 -50/1 0/1 1 2 0.020000 In 0.005858 0.034142 -49/1 1/0 1 3 0.020411 In 0.020171 0.020651 -48/1 0/1 1 6 0.020833 In 0.012328 0.029339 -47/1 0 1 -46/1 0/1 1 6 0.021739 In 0.012864 0.030614 -45/1 1/0 1 3 0.022226 In 0.021941 0.022511 -44/1 0/1 1 2 0.022727 In 0.006657 0.038798 -43/1 1/1 1 3 0.023440 In 0.009699 0.037182 -42/1 2/1 1 6 0.024008 In 0.013821 0.034194 -41/1 1/0 2 1 0.024419 In 0.023577 0.025262 -40/1 -2/1 1 6 0.024802 In 0.015102 0.034502 -39/1 -1/1 1 3 0.025427 In 0.011000 0.039855 -38/1 0/1 1 2 0.026316 In 0.007708 0.044924 -37/1 1/0 1 3 0.027034 In 0.026612 0.027455 -36/1 0/1 1 6 0.027778 In 0.016438 0.039118 -35/1 0 1 -34/1 0/1 1 6 0.029412 In 0.017404 0.041419 -33/1 1/0 1 3 0.030312 In 0.029782 0.030843 -32/1 0/1 1 2 0.031250 In 0.009153 0.053347 -31/1 1/1 1 3 0.032616 In 0.013385 0.051848 -30/1 2/1 1 6 0.033729 In 0.019202 0.048255 -29/1 1/0 2 1 0.034565 In 0.032879 0.036251 -28/1 -2/1 1 6 0.035319 In 0.021769 0.048870 -27/1 -1/1 1 3 0.036597 In 0.015996 0.057197 -26/1 0/1 1 2 0.038462 In 0.011265 0.065658 -25/1 1/0 1 3 0.040021 In 0.039097 0.040946 -24/1 0/1 1 6 0.041667 In 0.024656 0.058677 -23/1 0 1 -22/1 0/1 1 6 0.045455 In 0.026898 0.064011 -21/1 1/0 1 3 0.047655 In 0.046345 0.048965 -20/1 0/1 1 2 0.050000 In 0.014645 0.085355 -19/1 1/1 1 3 0.053604 In 0.021589 0.085620 -18/1 2/1 1 6 0.056701 In 0.031449 0.081954 -17/1 1/0 2 1 0.059233 In 0.054306 0.064161 -16/1 -2/1 1 6 0.061358 In 0.038973 0.083742 -15/1 -1/1 1 3 0.065282 In 0.029305 0.101259 -14/1 0/1 1 2 0.071429 In 0.020921 0.121936 -13/1 1/0 1 3 0.077075 In 0.073652 0.080498 -12/1 0/1 1 6 0.083333 In 0.049313 0.117354 -11/1 0 1 -10/1 0/1 1 6 0.100000 In 0.059175 0.140825 -9/1 1/0 1 3 0.111570 In 0.104413 0.118727 -8/1 0/1 1 2 0.125000 In 0.036612 0.213388 -7/1 1/1 1 3 0.150685 In 0.055778 0.245592 -6/1 2/1 1 6 0.179245 In 0.086812 0.271679 -5/1 1/0 2 1 0.217391 In 0.155904 0.278879 -4/1 -2/1 1 6 0.239130 In 0.185881 0.292380 -3/1 -1/1 1 3 0.307692 In 0.174458 0.440927 -2/1 0/1 1 2 0.500000 In 0.146447 0.853553 -1/1 1/0 1 3 1.500000 In 0.633975 2.366025 0/1 0/1 1 6 1/1 0 1 2/1 0/1 1 6 -0.500000 In -0.704124 -0.295876 3/1 1/0 1 3 -0.346154 In -0.412771 -0.279537 4/1 0/1 1 2 -0.250000 In -0.426777 -0.073223 5/1 1/1 1 3 -0.189189 In -0.282814 -0.095565 6/1 2/1 1 6 -0.160377 In -0.206594 -0.114161 7/1 1/0 2 1 -0.148936 In -0.179026 -0.118847 8/1 -2/1 1 6 -0.131579 In -0.196039 -0.067119 9/1 -1/1 1 3 -0.115702 In -0.187275 -0.044130 10/1 0/1 1 2 -0.100000 In -0.170711 -0.029289 11/1 1/0 1 3 -0.091160 In -0.095945 -0.086376 12/1 0/1 1 6 -0.083333 In -0.117354 -0.049313 13/1 0 1 14/1 0/1 1 6 -0.071429 In -0.100589 -0.042268 15/1 1/0 1 3 -0.066766 In -0.069335 -0.064196 16/1 0/1 1 2 -0.062500 In -0.106694 -0.018306 17/1 1/1 1 3 -0.057737 In -0.089738 -0.025736 18/1 2/1 1 6 -0.054639 In -0.074841 -0.034437 19/1 1/0 2 1 -0.052925 In -0.056864 -0.048985 20/1 -2/1 1 6 -0.050918 In 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-0.022515 44/1 -2/1 1 6 -0.022907 In -0.032611 -0.013204 45/1 -1/1 1 3 -0.022391 In -0.035508 -0.009273 46/1 0/1 1 2 -0.021739 In -0.037111 -0.006367 47/1 1/0 1 3 -0.021280 In -0.021541 -0.021018 48/1 0/1 1 6 -0.020833 In -0.029339 -0.012328 49/1 0 1 50/1 0/1 1 6 -0.020000 In -0.028165 -0.011835 -49/2 0 2 -47/2 0 6 -45/2 0 6 -43/2 0 2 -41/2 0 6 -39/2 0 6 -37/2 0 2 -35/2 0 6 -33/2 0 6 -31/2 0 2 -29/2 0 6 -27/2 0 6 -25/2 0 2 -23/2 0 6 -21/2 0 6 -19/2 0 2 -17/2 0 6 -15/2 0 6 -13/2 0 2 -11/2 0 6 -9/2 0 6 -7/2 0 2 -5/2 0 6 -3/2 0 6 -1/2 0 2 1/2 0 6 3/2 0 6 5/2 0 2 7/2 0 6 9/2 0 6 11/2 0 2 13/2 0 6 15/2 0 6 17/2 0 2 19/2 0 6 21/2 0 6 23/2 0 2 25/2 0 6 27/2 0 6 29/2 0 2 31/2 0 6 33/2 0 6 35/2 0 2 37/2 0 6 39/2 0 6 41/2 0 2 43/2 0 6 45/2 0 6 47/2 0 2 49/2 0 6 -50/3 -6/1 1 6 0.059743 In 0.054505 0.064982 -49/3 -3/1 1 3 0.060884 In 0.051254 0.070515 -47/3 1/0 1 3 0.063839 In 0.063055 0.064624 -46/3 -2/1 1 6 0.065080 In 0.057361 0.072800 -44/3 0/1 1 6 0.068182 In 0.058903 0.077460 -43/3 -1/2 1 3 0.069419 In 0.043498 0.095341 -41/3 1/1 1 3 0.073384 In 0.058268 0.088499 -40/3 2/1 1 6 0.075240 In 0.063498 0.086982 -38/3 0/1 1 6 0.078947 In 0.068204 0.089691 -37/3 -1/1 1 3 0.080857 In 0.066515 0.095200 -35/3 1/0 1 3 0.085738 In 0.084323 0.087152 -34/3 0/1 1 6 0.088235 In 0.076228 0.100243 -32/3 0/1 1 6 0.093750 In 0.080992 0.106508 -31/3 1/0 1 3 0.096808 In 0.095005 0.098611 -29/3 1/1 1 3 0.103886 In 0.081909 0.125863 -28/3 0/1 1 6 0.107143 In 0.092563 0.121723 -26/3 -2/1 1 6 0.115005 In 0.102915 0.127095 -25/3 -1/1 1 3 0.119530 In 0.099197 0.139864 -23/3 1/2 1 3 0.131778 In 0.078266 0.185290 -22/3 0/1 1 6 0.136364 In 0.117807 0.154920 -20/3 2/1 1 6 0.151085 In 0.124505 0.177666 -19/3 1/0 1 3 0.158041 In 0.153238 0.162843 -17/3 3/1 1 3 0.181818 In 0.129332 0.234305 -16/3 6/1 1 6 0.196000 In 0.140478 0.251522 -14/3 -6/1 1 6 0.215789 In 0.207195 0.224384 -13/3 -3/1 1 3 0.228916 In 0.215004 0.242828 -11/3 1/0 1 3 0.273481 In 0.259127 0.287835 -10/3 -2/1 1 6 0.298658 In 0.282218 0.315097 -8/3 0/1 1 6 0.375000 In 0.323969 0.426031 -7/3 -1/2 1 3 0.417808 In 0.287311 0.548305 -5/3 1/1 1 3 0.621622 In 0.434373 0.808870 -4/3 2/1 1 6 0.804348 In 0.538099 1.070597 -2/3 0/1 1 6 1.500000 In 1.295876 1.704124 -1/3 -1/1 1 3 4.000000 In 2.267949 5.732051 1/3 1/0 1 3 -4.500000 In -7.098076 -1.901924 2/3 0/1 1 6 -1.500000 In -1.704124 -1.295876 4/3 0/1 1 6 -0.750000 In -0.852062 -0.647938 5/3 1/0 1 3 -0.608108 In -0.678326 -0.537890 7/3 1/1 1 3 -0.424658 In -0.472111 -0.377204 8/3 0/1 1 6 -0.375000 In -0.426031 -0.323969 10/3 -2/1 1 6 -0.305369 In -0.371127 -0.239611 11/3 -1/1 1 3 -0.276243 In -0.343228 -0.209258 13/3 1/2 1 3 -0.227273 In -0.306002 -0.148543 14/3 0/1 1 6 -0.214286 In -0.243446 -0.185125 16/3 2/1 1 6 -0.186684 In -0.202673 -0.170695 17/3 1/0 1 3 -0.176674 In -0.182675 -0.170674 19/3 3/1 1 3 -0.156425 In -0.172552 -0.140297 20/3 6/1 1 6 -0.149746 In -0.151819 -0.147674 22/3 -6/1 1 6 -0.140167 In -0.174330 -0.106004 23/3 -3/1 1 3 -0.133080 In -0.168204 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6 -17/4 0 2 -15/4 0 6 -13/4 0 6 -11/4 0 2 -9/4 0 6 -7/4 0 6 -5/4 0 2 -3/4 0 6 -1/4 0 6 1/4 0 2 3/4 0 6 5/4 0 6 7/4 0 2 9/4 0 6 11/4 0 6 13/4 0 2 15/4 0 6 17/4 0 6 19/4 0 2 21/4 0 6 23/4 0 6 25/4 0 2 27/4 0 6 29/4 0 6 31/4 0 2 33/4 0 6 35/4 0 6 37/4 0 2 39/4 0 6 41/4 0 6 43/4 0 2 45/4 0 6 47/4 0 6 49/4 0 2 -49/5 0 1 -48/5 0/1 1 6 0.104167 In 0.095661 0.112672 -47/5 1/1 1 3 0.106550 In 0.092957 0.120143 -46/5 2/1 1 2 0.109272 In 0.090540 0.128003 -44/5 -2/1 1 6 0.113503 In 0.106331 0.120675 -43/5 -1/1 2 1 0.115322 In 0.086226 0.144418 -42/5 0/1 1 6 0.119048 In 0.109327 0.128768 -41/5 -1/2 1 3 0.121579 In 0.095127 0.148030 -39/5 1/3 1 3 0.128891 In 0.082571 0.175210 -38/5 2/3 1 6 0.132333 In 0.097259 0.167406 -37/5 0 1 -36/5 0/1 1 6 0.138889 In 0.127549 0.150229 -34/5 2/1 1 2 0.148180 In 0.121219 0.175141 -33/5 1/0 1 3 0.151562 In 0.148910 0.154213 -32/5 2/1 1 6 0.156678 In 0.139922 0.173433 -31/5 1/1 2 1 0.163712 In 0.110624 0.216801 -29/5 1/0 1 3 0.172482 In 0.169048 0.175916 -28/5 4/1 1 2 0.182990 In 0.139251 0.226728 -27/5 5/1 1 3 0.189639 In 0.147980 0.231298 -26/5 10/1 1 6 0.199697 In 0.152639 0.246755 -24/5 -10/1 1 6 0.211561 In 0.192584 0.230538 -23/5 -5/1 1 3 0.217670 In 0.215452 0.219887 -22/5 -4/1 1 2 0.226891 In 0.223920 0.229862 -21/5 1/0 1 3 0.238275 In 0.231724 0.244826 -19/5 -1/1 2 1 0.259053 In 0.203903 0.314203 -18/5 -2/1 1 6 0.277320 In 0.267219 0.287421 -17/5 1/0 1 3 0.294457 In 0.284457 0.304458 -16/5 -2/1 1 2 0.311024 In 0.294320 0.327727 -14/5 0/1 1 6 0.357143 In 0.327982 0.386303 -13/5 0 1 -12/5 -2/3 1 6 0.411628 In 0.337574 0.485682 -11/5 -1/3 1 3 0.447514 In 0.313543 0.581485 -9/5 1/2 1 3 0.566116 In 0.401499 0.730732 -8/5 0/1 1 6 0.625000 In 0.573969 0.676031 -7/5 1/1 2 1 0.787234 In 0.426158 1.148310 -6/5 2/1 1 6 0.858491 In 0.673623 1.043358 -4/5 -2/1 1 2 1.357143 In 1.054097 1.660189 -3/5 -1/1 1 3 1.692308 In 1.559073 1.825542 -2/5 0/1 1 6 2.500000 In 2.295876 2.704124 -1/5 0 1 1/5 1/1 1 3 -7.000000 In -10.464102 -3.535898 2/5 0/1 1 2 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