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 3 -49/1 1/1 1 3 0.020550 In 0.008525 0.032575 -48/1 0/1 1 3 0.020833 In 0.008805 0.032861 -47/1 0 3 -46/1 0/1 1 3 0.021739 In 0.009188 0.034290 -45/1 0 3 -44/1 0 3 -43/1 1/1 1 3 0.023440 In 0.009699 0.037182 -42/1 0/1 1 3 0.023810 In 0.010063 0.037556 -41/1 0 3 -40/1 0/1 1 3 0.025000 In 0.010566 0.039434 -39/1 0 3 -38/1 0 3 -37/1 1/1 1 3 0.027277 In 0.011247 0.043307 -36/1 0/1 1 3 0.027778 In 0.011740 0.043815 -35/1 0 3 -34/1 0/1 1 3 0.029412 In 0.012431 0.046393 -33/1 0 3 -32/1 0 3 -31/1 1/1 1 3 0.032616 In 0.013385 0.051848 -30/1 0/1 1 3 0.033333 In 0.014088 0.052578 -29/1 0 3 -28/1 0/1 1 3 0.035714 In 0.015095 0.056334 -27/1 0 3 -26/1 0 3 -25/1 1/1 1 3 0.040555 In 0.016524 0.064586 -24/1 0/1 1 3 0.041667 In 0.017610 0.065723 -23/1 0 3 -22/1 0/1 1 3 0.045455 In 0.019211 0.071698 -21/1 0 3 -20/1 0 3 -19/1 1/1 1 3 0.053604 In 0.021589 0.085620 -18/1 0/1 1 3 0.055556 In 0.023481 0.087631 -17/1 0 3 -16/1 0/1 1 3 0.062500 In 0.026416 0.098584 -15/1 0 3 -14/1 0 3 -13/1 1/1 1 3 0.079051 In 0.031129 0.126974 -12/1 0/1 1 3 0.083333 In 0.035221 0.131446 -11/1 0 3 -10/1 0/1 1 3 0.100000 In 0.042265 0.157735 -9/1 0 3 -8/1 0 3 -7/1 1/1 1 3 0.150685 In 0.055778 0.245592 -6/1 0/1 1 3 0.166667 In 0.070442 0.262892 -5/1 0 3 -4/1 0/1 1 3 0.250000 In 0.105662 0.394338 -3/1 0 3 -2/1 0 3 -1/1 1/1 1 3 2.000000 In 0.267949 3.732051 0/1 0/1 1 3 1/1 0 3 2/1 0/1 1 3 -0.500000 In -0.788675 -0.211325 3/1 0 3 4/1 0 3 5/1 1/1 1 3 -0.189189 In -0.282814 -0.095565 6/1 0/1 1 3 -0.166667 In -0.262892 -0.070442 7/1 0 3 8/1 0/1 1 3 -0.125000 In -0.197169 -0.052831 9/1 0 3 10/1 0 3 11/1 1/1 1 3 -0.088398 In -0.136244 -0.040551 12/1 0/1 1 3 -0.083333 In -0.131446 -0.035221 13/1 0 3 14/1 0/1 1 3 -0.071429 In -0.112668 -0.030189 15/1 0 3 16/1 0 3 17/1 1/1 1 3 -0.057737 In -0.089738 -0.025736 18/1 0/1 1 3 -0.055556 In -0.087631 -0.023481 19/1 0 3 20/1 0/1 1 3 -0.050000 In -0.078868 -0.021132 21/1 0 3 22/1 0 3 23/1 1/1 1 3 -0.042875 In -0.066901 -0.018849 24/1 0/1 1 3 -0.041667 In -0.065723 -0.017610 25/1 0 3 26/1 0/1 1 3 -0.038462 In -0.060667 -0.016256 27/1 0 3 28/1 0 3 29/1 1/1 1 3 -0.034100 In -0.053330 -0.014870 30/1 0/1 1 3 -0.033333 In -0.052578 -0.014088 31/1 0 3 32/1 0/1 1 3 -0.031250 In -0.049292 -0.013208 33/1 0 3 34/1 0 3 35/1 1/1 1 3 -0.028307 In -0.044336 -0.012278 36/1 0/1 1 3 -0.027778 In -0.043815 -0.011740 37/1 0 3 38/1 0/1 1 3 -0.026316 In -0.041509 -0.011122 39/1 0 3 40/1 0 3 41/1 1/1 1 3 -0.024197 In -0.037938 -0.010456 42/1 0/1 1 3 -0.023810 In -0.037556 -0.010063 43/1 0 3 44/1 0/1 1 3 -0.022727 In -0.035849 -0.009606 45/1 0 3 46/1 0 3 47/1 1/1 1 3 -0.021129 In -0.033153 -0.009104 48/1 0/1 1 3 -0.020833 In -0.032861 -0.008805 49/1 0 3 50/1 0/1 1 3 -0.020000 In -0.031547 -0.008453 -49/2 1/0 1 3 0.040822 In 0.040341 0.041303 -47/2 0 3 -45/2 1/1 1 3 0.044616 In 0.031214 0.058019 -43/2 1/2 1 3 0.046881 In 0.019398 0.074364 -41/2 0 3 -39/2 1/1 1 3 0.051512 In 0.035946 0.067079 -37/2 1/0 1 3 0.054067 In 0.053224 0.054911 -35/2 0 3 -33/2 1/1 1 3 0.060931 In 0.042369 0.079492 -31/2 1/2 1 3 0.065232 In 0.026769 0.103696 -29/2 0 3 -27/2 1/1 1 3 0.074565 In 0.051588 0.097543 -25/2 1/0 1 3 0.080043 In 0.078194 0.081891 -23/2 0 3 -21/2 1/1 1 3 0.096067 In 0.065933 0.126201 -19/2 1/2 1 3 0.107209 In 0.043177 0.171240 -17/2 0 3 -15/2 1/1 1 3 0.135015 In 0.091328 0.178702 -13/2 1/0 1 3 0.154150 In 0.147304 0.160996 -11/2 0 3 -9/2 1/1 1 3 0.227273 In 0.148543 0.306002 -7/2 1/2 1 3 0.301370 In 0.111556 0.491184 -5/2 0 3 -3/2 1/1 1 3 0.730769 In 0.397683 1.063856 -1/2 1/0 1 3 3.000000 In 1.267949 4.732051 1/2 0 3 3/2 1/1 1 3 -0.653846 In -0.720463 -0.587229 5/2 1/2 1 3 -0.378378 In -0.565627 -0.191130 7/2 0 3 9/2 1/1 1 3 -0.219008 In -0.269109 -0.168908 11/2 1/0 1 3 -0.182320 In -0.191890 -0.172751 13/2 0 3 15/2 1/1 1 3 -0.132047 In -0.165455 -0.098640 17/2 1/2 1 3 -0.115473 In -0.179475 -0.051472 19/2 0 3 21/2 1/1 1 3 -0.094554 In -0.119447 -0.069660 23/2 1/0 1 3 -0.087011 In -0.089196 -0.084827 25/2 0 3 27/2 1/1 1 3 -0.073651 In -0.093459 -0.053842 29/2 1/2 1 3 -0.068200 In -0.106659 -0.029740 31/2 0 3 33/2 1/1 1 3 -0.060318 In -0.076759 -0.043878 35/2 1/0 1 3 -0.057158 In -0.058101 -0.056216 37/2 0 3 39/2 1/1 1 3 -0.051074 In -0.065122 -0.037026 41/2 1/2 1 3 -0.048393 In -0.075875 -0.020912 43/2 0 3 45/2 1/1 1 3 -0.044287 In -0.056549 -0.032025 47/2 1/0 1 3 -0.042560 In -0.043082 -0.042037 49/2 0 3 -50/3 0 3 -49/3 1/0 1 3 0.061233 In 0.060512 0.061954 -47/3 1/2 1 3 0.064141 In 0.038785 0.089497 -46/3 0 3 -44/3 0 3 -43/3 1/2 1 3 0.070141 In 0.042345 0.097936 -41/3 1/2 1 3 0.073582 In 0.044382 0.102781 -40/3 0 3 -38/3 0 3 -37/3 1/0 1 3 0.081101 In 0.079835 0.082366 -35/3 1/2 1 3 0.086282 In 0.051867 0.120697 -34/3 0 3 -32/3 0 3 -31/3 1/0 1 3 0.096808 In 0.095005 0.098611 -29/3 1/2 1 3 0.104282 In 0.062389 0.146176 -28/3 0 3 -26/3 0 3 -25/3 1/2 1 3 0.121131 In 0.072146 0.170117 -23/3 1/2 1 3 0.131778 In 0.078266 0.185290 -22/3 0 3 -20/3 0 3 -19/3 1/0 1 3 0.158041 In 0.153238 0.162843 -17/3 1/2 1 3 0.178984 In 0.104982 0.252986 -16/3 0 3 -14/3 0 3 -13/3 1/0 1 3 0.231225 In 0.220956 0.241494 -11/3 1/2 1 3 0.279006 In 0.159389 0.398622 -10/3 0 3 -8/3 0 3 -7/3 1/2 1 3 0.445205 In 0.243528 0.646883 -5/3 1/2 1 3 0.635135 In 0.330856 0.939414 -4/3 0 3 -2/3 0 3 -1/3 1/0 1 3 4.500000 In 1.901924 7.098076 1/3 1/2 1 3 -3.500000 In -4.366025 -2.633975 2/3 0 3 4/3 0 3 5/3 1/0 1 3 -0.608108 In -0.678326 -0.537890 7/3 1/2 1 3 -0.417808 In -0.548305 -0.287311 8/3 0 3 10/3 0 3 11/3 1/2 1 3 -0.267956 In -0.358865 -0.177047 13/3 1/2 1 3 -0.227273 In -0.306002 -0.148543 14/3 0 3 16/3 0 3 17/3 1/0 1 3 -0.176674 In -0.182675 -0.170674 19/3 1/2 1 3 -0.156192 In -0.212220 -0.100165 20/3 0 3 22/3 0 3 23/3 1/0 1 3 -0.130517 In -0.133793 -0.127241 25/3 1/2 1 3 -0.118997 In -0.162437 -0.075557 26/3 0 3 28/3 0 3 29/3 1/2 1 3 -0.102696 In -0.140469 -0.064924 31/3 1/2 1 3 -0.096114 In -0.131572 -0.060655 32/3 0 3 34/3 0 3 35/3 1/0 1 3 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3 -5/4 1/2 1 3 0.837838 In 0.510153 1.165523 -3/4 1/1 1 3 1.423077 In 0.956756 1.889398 -1/4 0 3 1/4 1/2 1 3 -5.000000 In -6.732051 -3.267949 3/4 1/1 1 3 -1.346154 In -1.412771 -1.279537 5/4 0 3 7/4 1/0 1 3 -0.575342 In -0.622796 -0.527889 9/4 1/3 1 3 -0.433884 In -0.598501 -0.269268 11/4 0 3 13/4 1/2 1 3 -0.304348 In -0.379654 -0.229041 15/4 1/1 1 3 -0.265579 In -0.293847 -0.237311 17/4 0 3 19/4 1/2 1 3 -0.208872 In -0.263299 -0.154446 21/4 1/1 1 3 -0.189864 In -0.212137 -0.167591 23/4 0 3 25/4 1/2 1 3 -0.159018 In -0.201534 -0.116502 27/4 1/1 1 3 -0.147758 In -0.165982 -0.129535 29/4 0 3 31/4 1/0 1 3 -0.129077 In -0.131481 -0.126673 33/4 1/3 1 3 -0.120331 In -0.170712 -0.069950 35/4 0 3 37/4 1/2 1 3 -0.107647 In -0.137176 -0.078119 39/4 1/1 1 3 -0.102367 In -0.115656 -0.089079 41/4 0 3 43/4 1/2 1 3 -0.092679 In -0.118289 -0.067070 45/4 1/1 1 3 -0.088739 In -0.100430 -0.077047 47/4 0 3 49/4 1/2 1 3 -0.081366 In -0.103973 -0.058760 -49/5 0 3 -48/5 0/1 1 3 0.104167 In 0.092139 0.116195 -47/5 1/1 1 3 0.106550 In 0.092957 0.120143 -46/5 0 3 -44/5 0/1 1 3 0.113636 In 0.100515 0.126758 -43/5 0 3 -42/5 0/1 1 3 0.119048 In 0.105301 0.132794 -41/5 1/1 1 3 0.122174 In 0.106372 0.137976 -39/5 0 3 -38/5 2/3 1 3 0.133087 In 0.083462 0.182711 -37/5 0 3 -36/5 2/3 1 3 0.140577 In 0.087955 0.193198 -34/5 0 3 -33/5 0 3 -32/5 0/1 1 3 0.156250 In 0.138208 0.174292 -31/5 0 3 -29/5 1/3 1 3 0.173672 In 0.110488 0.236855 -28/5 0 3 -27/5 0 3 -26/5 0/1 1 3 0.192308 In 0.170102 0.214513 -24/5 0/1 1 3 0.208333 In 0.184277 0.232390 -23/5 1/1 1 3 0.218159 In 0.187580 0.248737 -22/5 0 3 -21/5 0 3 -19/5 0 3 -18/5 0/1 1 3 0.277778 In 0.245703 0.309853 -17/5 1/1 1 3 0.295612 In 0.251611 0.339613 -16/5 0 3 -14/5 0/1 1 3 0.357143 In 0.315904 0.398382 -13/5 0 3 -12/5 0/1 1 3 0.416667 In 0.368554 0.464779 -11/5 1/1 1 3 0.458564 In 0.382009 0.535118 -9/5 0 3 -8/5 2/3 1 3 0.670213 In 0.356970 0.983456 -7/5 0 3 -6/5 2/3 1 3 0.923077 In 0.456756 1.389398 -4/5 0 3 -3/5 0 3 -2/5 0/1 1 3 2.500000 In 2.211325 2.788675 -1/5 0 3 1/5 1/3 1 3 -6.000000 In -7.732051 -4.267949 2/5 0 3 3/5 0 3 4/5 0/1 1 3 -1.250000 In -1.394338 -1.105662 6/5 0/1 1 3 -0.833333 In -0.929558 -0.737108 7/5 1/1 1 3 -0.712329 In -0.736055 -0.688602 8/5 0 3 9/5 0 3 11/5 0 3 12/5 0/1 1 3 -0.416667 In -0.464779 -0.368554 13/5 1/1 1 3 -0.383399 In -0.410783 -0.356015 14/5 0 3 16/5 0/1 1 3 -0.312500 In -0.348584 -0.276416 17/5 0 3 18/5 0/1 1 3 -0.277778 In -0.309853 -0.245703 19/5 1/1 1 3 -0.262477 In -0.284888 -0.240066 21/5 0 3 22/5 2/3 1 3 -0.223757 In -0.290742 -0.156772 23/5 0 3 24/5 2/3 1 3 -0.205336 In -0.267626 -0.143047 26/5 0 3 27/5 0 3 28/5 0/1 1 3 -0.178571 In -0.199191 -0.157952 29/5 0 3 31/5 1/3 1 3 -0.160305 In -0.213192 -0.107418 32/5 0 3 33/5 0 3 34/5 0/1 1 3 -0.147059 In -0.164040 -0.130078 36/5 0/1 1 3 -0.138889 In -0.154926 -0.122851 37/5 1/1 1 3 -0.134925 In -0.148423 -0.121426 38/5 0 3 39/5 0 3 41/5 0 3 42/5 0/1 1 3 -0.119048 In -0.132794 -0.105301 43/5 1/1 1 3 -0.116120 In -0.127987 -0.104252 44/5 0 3 46/5 0/1 1 3 -0.108696 In -0.121247 -0.096145 47/5 0 3 48/5 0/1 1 3 -0.104167 In -0.116195 -0.092139 49/5 1/1 1 3 -0.101916 In -0.112498 -0.091334 -49/6 0 3 -47/6 0 3 -43/6 0 3 -41/6 0 3 -37/6 0 3 -35/6 0 3 -31/6 0 3 -29/6 0 3 -25/6 0 3 -23/6 0 3 -19/6 0 3 -17/6 0 3 -13/6 0 3 -11/6 0 3 -7/6 0 3 -5/6 0 3 -1/6 0 3 1/6 0 3 5/6 0 3 7/6 0 3 11/6 0 3 13/6 0 3 17/6 0 3 19/6 0 3 23/6 0 3 25/6 0 3 29/6 0 3 31/6 0 3 35/6 0 3 37/6 0 3 41/6 0 3 43/6 0 3 47/6 0 3 49/6 0 3 -50/7 0 3 -48/7 2/1 1 3 0.146207 In 0.130662 0.161753 -47/7 0 3 -46/7 2/1 1 3 0.152585 In 0.136204 0.168966 -45/7 0 3 -44/7 0 3 -43/7 -1/1 1 3 0.162640 In 0.151397 0.173883 -41/7 0 3 -40/7 0/1 1 3 0.175000 In 0.160566 0.189434 -39/7 0 3 -38/7 0 3 -37/7 1/1 1 3 0.189479 In 0.170918 0.208040 -36/7 0/1 1 3 0.194444 In 0.178407 0.210482 -34/7 0/1 1 3 0.205882 In 0.188901 0.222863 -33/7 0 3 -32/7 0 3 -31/7 1/1 1 3 0.226232 In 0.203394 0.249069 -30/7 0/1 1 3 0.233333 In 0.214088 0.252578 -29/7 0 3 -27/7 0 3 -26/7 0 3 -25/7 1/3 1 3 0.281750 In 0.205961 0.357539 -24/7 2/3 1 3 0.295824 In 0.209422 0.382225 -23/7 0 3 -22/7 0/1 1 3 0.318182 In 0.291939 0.344425 -20/7 0 3 -19/7 1/1 1 3 0.369686 In 0.328065 0.411306 -18/7 0/1 1 3 0.388889 In 0.356814 0.420964 -17/7 0 3 -16/7 2/3 1 3 0.447644 In 0.307085 0.588203 -15/7 0 3 -13/7 1/1 1 3 0.541502 In 0.473041 0.609962 -12/7 0/1 1 3 0.583333 In 0.535221 0.631446 -11/7 0 3 -10/7 0/1 1 3 0.700000 In 0.642265 0.757735 -9/7 0 3 -8/7 0 3 -6/7 2/1 1 3 1.230769 In 0.897683 1.563856 -5/7 0 3 -4/7 2/1 1 3 1.954545 In 1.245979 2.663112 -3/7 0 3 -2/7 0 3 -1/7 -1/1 1 3 10.000000 In 4.803848 15.196152 1/7 0 3 2/7 0/1 1 3 -3.500000 In -3.788675 -3.211325 3/7 0 3 4/7 0 3 5/7 1/1 1 3 -1.405405 In -1.452218 -1.358593 6/7 0/1 1 3 -1.166667 In -1.262892 -1.070442 8/7 0/1 1 3 -0.875000 In -0.947169 -0.802831 9/7 0 3 10/7 0 3 11/7 1/1 1 3 -0.635359 In -0.654498 -0.616220 12/7 0/1 1 3 -0.583333 In -0.631446 -0.535221 13/7 0 3 15/7 0 3 16/7 0 3 17/7 1/3 1 3 -0.408776 In -0.496779 -0.320773 18/7 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