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 0/1 1 6 0.020000 In 0.011835 0.028165 -49/1 1/0 1 6 0.020410 In 0.020240 0.020580 -48/1 0/1 1 6 0.020833 In 0.012328 0.029339 -47/1 1/0 1 6 0.021278 In 0.021093 0.021463 -46/1 0/1 1 6 0.021739 In 0.012864 0.030614 -45/1 1/0 1 6 0.022224 In 0.022022 0.022426 -44/1 0/1 1 6 0.022727 In 0.013449 0.032006 -43/1 1/0 1 6 0.023258 In 0.023037 0.023479 -42/1 0/1 1 6 0.023810 In 0.014089 0.033530 -41/1 1/0 1 6 0.024393 In 0.024150 0.024636 -40/1 0/1 1 6 0.025000 In 0.014794 0.035206 -39/1 1/0 1 6 0.025644 In 0.025375 0.025912 -38/1 0/1 1 6 0.026316 In 0.015572 0.037059 -37/1 1/0 1 6 0.027030 In 0.026732 0.027329 -36/1 0/1 1 6 0.027778 In 0.016438 0.039118 -35/1 1/0 1 6 0.028575 In 0.028242 0.028909 -34/1 0/1 1 6 0.029412 In 0.017404 0.041419 -33/1 1/0 1 6 0.030308 In 0.029933 0.030683 -32/1 0/1 1 6 0.031250 In 0.018492 0.044008 -31/1 1/0 1 6 0.032264 In 0.031839 0.032689 -30/1 0/1 1 6 0.033333 In 0.019725 0.046942 -29/1 1/0 1 6 0.034490 In 0.034004 0.034975 -28/1 0/1 1 6 0.035714 In 0.021134 0.050295 -27/1 1/0 1 6 0.037046 In 0.036485 0.037606 -26/1 0/1 1 6 0.038462 In 0.022760 0.054163 -25/1 1/0 1 6 0.040011 In 0.039357 0.040664 -24/1 0/1 1 6 0.041667 In 0.024656 0.058677 -23/1 1/0 1 6 0.043492 In 0.042720 0.044264 -22/1 0/1 1 6 0.045455 In 0.026898 0.064011 -21/1 1/0 1 6 0.047637 In 0.046711 0.048563 -20/1 0/1 1 6 0.050000 In 0.029588 0.070412 -19/1 1/0 1 6 0.052656 In 0.051524 0.053787 -18/1 0/1 1 6 0.055556 In 0.032875 0.078236 -17/1 1/0 1 6 0.058857 In 0.057444 0.060271 -16/1 0/1 1 6 0.062500 In 0.036984 0.088016 -15/1 1/0 1 6 0.066716 In 0.064900 0.068532 -14/1 0/1 1 6 0.071429 In 0.042268 0.100589 -13/1 1/0 1 6 0.076999 In 0.074581 0.079417 -12/1 0/1 1 6 0.083333 In 0.049313 0.117354 -11/1 1/0 1 6 0.091034 In 0.087656 0.094413 -10/1 0/1 1 6 0.100000 In 0.059175 0.140825 -9/1 1/0 1 6 0.111340 In 0.106290 0.116391 -8/1 0/1 1 6 0.125000 In 0.073969 0.176031 -7/1 1/0 1 6 0.143345 In 0.134985 0.151705 -6/1 0/1 1 6 0.166667 In 0.098625 0.234708 -5/1 1/0 1 6 0.201342 In 0.184903 0.217782 -4/1 0/1 1 6 0.250000 In 0.147938 0.352062 -3/1 1/0 1 6 0.339623 In 0.293406 0.385839 -2/1 0/1 1 6 0.500000 In 0.295876 0.704124 -1/1 1/0 1 6 1.200000 In 0.710102 1.689898 0/1 0/1 1 6 1/1 1/0 1 6 -1.200000 In -1.689898 -0.710102 2/1 0/1 1 6 -0.500000 In -0.704124 -0.295876 3/1 1/0 1 6 -0.339623 In -0.385839 -0.293406 4/1 0/1 1 6 -0.250000 In -0.352062 -0.147938 5/1 1/0 1 6 -0.201342 In -0.217782 -0.184903 6/1 0/1 1 6 -0.166667 In -0.234708 -0.098625 7/1 1/0 1 6 -0.143345 In -0.151705 -0.134985 8/1 0/1 1 6 -0.125000 In -0.176031 -0.073969 9/1 1/0 1 6 -0.111340 In -0.116391 -0.106290 10/1 0/1 1 6 -0.100000 In -0.140825 -0.059175 11/1 1/0 1 6 -0.091034 In -0.094413 -0.087656 12/1 0/1 1 6 -0.083333 In -0.117354 -0.049313 13/1 1/0 1 6 -0.076999 In -0.079417 -0.074581 14/1 0/1 1 6 -0.071429 In -0.100589 -0.042268 15/1 1/0 1 6 -0.066716 In -0.068532 -0.064900 16/1 0/1 1 6 -0.062500 In -0.088016 -0.036984 17/1 1/0 1 6 -0.058857 In -0.060271 -0.057444 18/1 0/1 1 6 -0.055556 In -0.078236 -0.032875 19/1 1/0 1 6 -0.052656 In -0.053787 -0.051524 20/1 0/1 1 6 -0.050000 In -0.070412 -0.029588 21/1 1/0 1 6 -0.047637 In -0.048563 -0.046711 22/1 0/1 1 6 -0.045455 In -0.064011 -0.026898 23/1 1/0 1 6 -0.043492 In -0.044264 -0.042720 24/1 0/1 1 6 -0.041667 In -0.058677 -0.024656 25/1 1/0 1 6 -0.040011 In -0.040664 -0.039357 26/1 0/1 1 6 -0.038462 In -0.054163 -0.022760 27/1 1/0 1 6 -0.037046 In -0.037606 -0.036485 28/1 0/1 1 6 -0.035714 In -0.050295 -0.021134 29/1 1/0 1 6 -0.034490 In -0.034975 -0.034004 30/1 0/1 1 6 -0.033333 In -0.046942 -0.019725 31/1 1/0 1 6 -0.032264 In -0.032689 -0.031839 32/1 0/1 1 6 -0.031250 In -0.044008 -0.018492 33/1 1/0 1 6 -0.030308 In -0.030683 -0.029933 34/1 0/1 1 6 -0.029412 In -0.041419 -0.017404 35/1 1/0 1 6 -0.028575 In -0.028909 -0.028242 36/1 0/1 1 6 -0.027778 In -0.039118 -0.016438 37/1 1/0 1 6 -0.027030 In -0.027329 -0.026732 38/1 0/1 1 6 -0.026316 In -0.037059 -0.015572 39/1 1/0 1 6 -0.025644 In -0.025912 -0.025375 40/1 0/1 1 6 -0.025000 In -0.035206 -0.014794 41/1 1/0 1 6 -0.024393 In -0.024636 -0.024150 42/1 0/1 1 6 -0.023810 In -0.033530 -0.014089 43/1 1/0 1 6 -0.023258 In -0.023479 -0.023037 44/1 0/1 1 6 -0.022727 In -0.032006 -0.013449 45/1 1/0 1 6 -0.022224 In -0.022426 -0.022022 46/1 0/1 1 6 -0.021739 In -0.030614 -0.012864 47/1 1/0 1 6 -0.021278 In -0.021463 -0.021093 48/1 0/1 1 6 -0.020833 In -0.029339 -0.012328 49/1 1/0 1 6 -0.020410 In -0.020580 -0.020240 50/1 0/1 1 6 -0.020000 In -0.028165 -0.011835 -49/2 0 3 -47/2 0 3 -45/2 0 3 -43/2 0 3 -41/2 0 3 -39/2 0 3 -37/2 0 3 -35/2 0 3 -33/2 0 3 -31/2 0 3 -29/2 0 3 -27/2 0 3 -25/2 0 3 -23/2 0 3 -21/2 0 3 -19/2 0 3 -17/2 0 3 -15/2 0 3 -13/2 0 3 -11/2 0 3 -9/2 0 3 -7/2 0 3 -5/2 0 3 -3/2 0 3 -1/2 0 3 1/2 0 3 3/2 0 3 5/2 0 3 7/2 0 3 9/2 0 3 11/2 0 3 13/2 0 3 15/2 0 3 17/2 0 3 19/2 0 3 21/2 0 3 23/2 0 3 25/2 0 3 27/2 0 3 29/2 0 3 31/2 0 3 33/2 0 3 35/2 0 3 37/2 0 3 39/2 0 3 41/2 0 3 43/2 0 3 45/2 0 3 47/2 0 3 49/2 0 3 -50/3 0 2 -49/3 0 2 -47/3 0 2 -46/3 0 2 -44/3 0 2 -43/3 0 2 -41/3 0 2 -40/3 0 2 -38/3 0 2 -37/3 0 2 -35/3 0 2 -34/3 0 2 -32/3 0 2 -31/3 0 2 -29/3 0 2 -28/3 0 2 -26/3 0 2 -25/3 0 2 -23/3 0 2 -22/3 0 2 -20/3 0 2 -19/3 0 2 -17/3 0 2 -16/3 0 2 -14/3 0 2 -13/3 0 2 -11/3 0 2 -10/3 0 2 -8/3 0 2 -7/3 0 2 -5/3 0 2 -4/3 0 2 -2/3 0 2 -1/3 0 2 1/3 0 2 2/3 0 2 4/3 0 2 5/3 0 2 7/3 0 2 8/3 0 2 10/3 0 2 11/3 0 2 13/3 0 2 14/3 0 2 16/3 0 2 17/3 0 2 19/3 0 2 20/3 0 2 22/3 0 2 23/3 0 2 25/3 0 2 26/3 0 2 28/3 0 2 29/3 0 2 31/3 0 2 32/3 0 2 34/3 0 2 35/3 0 2 37/3 0 2 38/3 0 2 40/3 0 2 41/3 0 2 43/3 0 2 44/3 0 2 46/3 0 2 47/3 0 2 49/3 0 2 50/3 0 2 -49/4 -1/1 1 3 0.081505 In 0.070683 0.092327 -47/4 1/1 1 3 0.085270 In 0.071939 0.098602 -45/4 1/1 1 3 0.089068 In 0.075095 0.103041 -43/4 -1/1 1 3 0.092860 In 0.080680 0.105040 -41/4 -1/1 1 3 0.097382 In 0.084672 0.110092 -39/4 1/1 1 3 0.102806 In 0.086480 0.119132 -37/4 1/1 1 3 0.108378 In 0.091083 0.125673 -35/4 -1/1 1 3 0.114045 In 0.099430 0.128659 -33/4 -1/1 1 3 0.120943 In 0.105564 0.136323 -31/4 1/1 1 3 0.129424 In 0.108389 0.150459 -29/4 1/1 1 3 0.138382 In 0.115719 0.161046 -27/4 -1/1 1 3 0.147758 In 0.129535 0.165982 -25/4 -1/1 1 3 0.159552 In 0.140142 0.178961 -23/4 1/1 1 3 0.174653 In 0.145167 0.204140 -21/4 1/1 1 3 0.191377 In 0.158622 0.224131 -19/4 -1/1 1 3 0.209797 In 0.185785 0.233808 -17/4 -1/1 1 3 0.234411 In 0.208410 0.260412 -15/4 1/1 1 3 0.268546 In 0.219720 0.317372 -13/4 1/1 1 3 0.310277 In 0.252085 0.368468 -11/4 -1/1 1 3 0.361878 In 0.328386 0.395371 -9/4 -1/1 1 3 0.442149 In 0.406363 0.477935 -7/4 1/1 1 3 0.582192 In 0.451695 0.712689 -5/4 1/1 1 3 0.824324 In 0.613669 1.034979 -3/4 -1/1 1 3 1.346154 In 1.279537 1.412771 -1/4 -1/1 1 3 5.500000 In 2.901924 8.098076 1/4 1/1 1 3 -5.500000 In -8.098076 -2.901924 3/4 1/1 1 3 -1.346154 In -1.412771 -1.279537 5/4 -1/1 1 3 -0.824324 In -1.034979 -0.613669 7/4 -1/1 1 3 -0.582192 In -0.712689 -0.451695 9/4 1/1 1 3 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0.119701 -48/5 0/1 1 6 0.104167 In 0.095661 0.112672 -47/5 1/0 1 6 0.106391 In 0.105467 0.107315 -46/5 2/1 1 6 0.108887 In 0.098080 0.119695 -44/5 -2/1 1 6 0.113503 In 0.106331 0.120675 -43/5 1/0 1 6 0.116290 In 0.115185 0.117394 -42/5 0/1 1 6 0.119048 In 0.109327 0.128768 -41/5 -1/2 1 6 0.121765 In 0.103063 0.140467 -39/5 1/2 1 6 0.128438 In 0.106158 0.150719 -38/5 0/1 1 6 0.131579 In 0.120836 0.142322 -37/5 1/0 1 6 0.135152 In 0.133660 0.136643 -36/5 2/1 1 6 0.139218 In 0.124720 0.153715 -34/5 -2/1 1 6 0.146855 In 0.138375 0.155336 -33/5 1/0 1 6 0.151538 In 0.149664 0.153413 -32/5 0/1 1 6 0.156250 In 0.143492 0.169008 -31/5 -1/2 1 6 0.160971 In 0.136753 0.185190 -29/5 1/2 1 6 0.172844 In 0.142256 0.203433 -28/5 0/1 1 6 0.178571 In 0.163991 0.193152 -27/5 1/0 1 6 0.185228 In 0.182427 0.188028 -26/5 2/1 1 6 0.192991 In 0.171229 0.214754 -24/5 -2/1 1 6 0.207995 In 0.198061 0.217930 -23/5 1/0 1 6 0.217460 In 0.213600 0.221320 -22/5 0/1 1 6 0.227273 In 0.208716 0.245829 -21/5 -1/2 1 6 0.237429 In 0.203164 0.271694 -19/5 1/2 1 6 0.264203 In 0.215553 0.312854 -18/5 0/1 1 6 0.277778 In 0.255097 0.300458 -17/5 1/0 1 6 0.294287 In 0.287220 0.301355 -16/5 2/1 1 6 0.314621 In 0.273050 0.356192 -14/5 -2/1 1 6 0.356655 In 0.348295 0.365015 -13/5 1/0 1 6 0.384995 In 0.372905 0.397085 -12/5 0/1 1 6 0.416667 In 0.382646 0.450687 -11/5 -1/2 1 6 0.452414 In 0.394977 0.509850 -9/5 1/2 1 6 0.560825 In 0.444663 0.676986 -8/5 0/1 1 6 0.625000 In 0.573969 0.676031 -7/5 1/0 1 6 0.716724 In 0.674923 0.758524 -6/5 2/1 1 6 0.858491 In 0.673623 1.043358 -4/5 -2/1 1 6 1.282609 In 1.122859 1.442358 -3/5 1/0 1 6 1.698113 In 1.467029 1.929197 -2/5 0/1 1 6 2.500000 In 2.295876 2.704124 -1/5 -1/2 1 6 5.600000 In 4.130306 7.069694 1/5 1/2 1 6 -5.600000 In -7.069694 -4.130306 2/5 0/1 1 6 -2.500000 In -2.704124 -2.295876 3/5 1/0 1 6 -1.698113 In -1.929197 -1.467029 4/5 2/1 1 6 -1.282609 In -1.442358 -1.122859 6/5 -2/1 1 6 -0.858491 In -1.043358 -0.673623 7/5 1/0 1 6 -0.716724 In -0.758524 -0.674923 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