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 18 0.020000 In 0.015286 0.024714 -49/1 1/0 1 18 0.020409 In 0.020310 0.020507 -48/1 0/1 1 18 0.020833 In 0.015923 0.025744 -47/1 1/0 1 18 0.021277 In 0.021170 0.021384 -46/1 0/1 1 18 0.021739 In 0.016615 0.026863 -45/1 1/0 1 18 0.022223 In 0.022106 0.022339 -44/1 0/1 1 18 0.022727 In 0.017370 0.028084 -43/1 1/0 1 18 0.023257 In 0.023129 0.023384 -42/1 0/1 1 18 0.023810 In 0.018198 0.029421 -41/1 1/0 1 18 0.024391 In 0.024251 0.024531 -40/1 0/1 1 18 0.025000 In 0.019107 0.030893 -39/1 1/0 1 18 0.025642 In 0.025487 0.025797 -38/1 0/1 1 18 0.026316 In 0.020113 0.032518 -37/1 1/0 1 18 0.027028 In 0.026856 0.027200 -36/1 0/1 1 18 0.027778 In 0.021230 0.034325 -35/1 1/0 1 18 0.028573 In 0.028380 0.028765 -34/1 0/1 1 18 0.029412 In 0.022479 0.036344 -33/1 1/0 1 18 0.030305 In 0.030088 0.030521 -32/1 0/1 1 18 0.031250 In 0.023884 0.038616 -31/1 1/0 1 18 0.032260 In 0.032015 0.032505 -30/1 0/1 1 18 0.033333 In 0.025477 0.041190 -29/1 1/0 1 18 0.034485 In 0.034205 0.034765 -28/1 0/1 1 18 0.035714 In 0.027296 0.044132 -27/1 1/0 1 18 0.037040 In 0.036717 0.037363 -26/1 0/1 1 18 0.038462 In 0.029396 0.047527 -25/1 1/0 1 18 0.040004 In 0.039626 0.040381 -24/1 0/1 1 18 0.041667 In 0.031846 0.051488 -23/1 1/0 1 18 0.043483 In 0.043037 0.043928 -22/1 0/1 1 18 0.045455 In 0.034741 0.056168 -21/1 1/0 1 18 0.047625 In 0.047091 0.048160 -20/1 0/1 1 18 0.050000 In 0.038215 0.061785 -19/1 1/0 1 18 0.052640 In 0.051987 0.053293 -18/1 0/1 1 18 0.055556 In 0.042461 0.068650 -17/1 1/0 1 18 0.058835 In 0.058019 0.059651 -16/1 0/1 1 18 0.062500 In 0.047769 0.077231 -15/1 1/0 1 18 0.066683 In 0.065635 0.067731 -14/1 0/1 1 18 0.071429 In 0.054593 0.088264 -13/1 1/0 1 18 0.076948 In 0.075553 0.078344 -12/1 0/1 1 18 0.083333 In 0.063691 0.102975 -11/1 1/0 1 18 0.090951 In 0.089002 0.092900 -10/1 0/1 1 18 0.100000 In 0.076430 0.123570 -9/1 1/0 1 18 0.111187 In 0.108275 0.114099 -8/1 0/1 1 18 0.125000 In 0.095537 0.154463 -7/1 1/0 1 18 0.143019 In 0.138204 0.147835 -6/1 0/1 1 18 0.166667 In 0.127383 0.205950 -5/1 1/0 1 18 0.200445 In 0.190996 0.209895 -4/1 0/1 1 18 0.250000 In 0.191074 0.308926 -3/1 1/0 1 18 0.335404 In 0.309052 0.361756 -2/1 0/1 1 18 0.500000 In 0.382149 0.617851 -1/1 1/0 1 18 1.058824 In 0.809256 1.308391 0/1 0/1 1 18 1/1 1/0 1 18 -1.058824 In -1.308391 -0.809256 2/1 0/1 1 18 -0.500000 In -0.617851 -0.382149 3/1 1/0 1 18 -0.335404 In -0.361756 -0.309052 4/1 0/1 1 18 -0.250000 In -0.308926 -0.191074 5/1 1/0 1 18 -0.200445 In -0.209895 -0.190996 6/1 0/1 1 18 -0.166667 In -0.205950 -0.127383 7/1 1/0 1 18 -0.143019 In -0.147835 -0.138204 8/1 0/1 1 18 -0.125000 In -0.154463 -0.095537 9/1 1/0 1 18 -0.111187 In -0.114099 -0.108275 10/1 0/1 1 18 -0.100000 In -0.123570 -0.076430 11/1 1/0 1 18 -0.090951 In -0.092900 -0.089002 12/1 0/1 1 18 -0.083333 In -0.102975 -0.063691 13/1 1/0 1 18 -0.076948 In -0.078344 -0.075553 14/1 0/1 1 18 -0.071429 In -0.088264 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36/1 0/1 1 18 -0.027778 In -0.034325 -0.021230 37/1 1/0 1 18 -0.027028 In -0.027200 -0.026856 38/1 0/1 1 18 -0.026316 In -0.032518 -0.020113 39/1 1/0 1 18 -0.025642 In -0.025797 -0.025487 40/1 0/1 1 18 -0.025000 In -0.030893 -0.019107 41/1 1/0 1 18 -0.024391 In -0.024531 -0.024251 42/1 0/1 1 18 -0.023810 In -0.029421 -0.018198 43/1 1/0 1 18 -0.023257 In -0.023384 -0.023129 44/1 0/1 1 18 -0.022727 In -0.028084 -0.017370 45/1 1/0 1 18 -0.022223 In -0.022339 -0.022106 46/1 0/1 1 18 -0.021739 In -0.026863 -0.016615 47/1 1/0 1 18 -0.021277 In -0.021384 -0.021170 48/1 0/1 1 18 -0.020833 In -0.025744 -0.015923 49/1 1/0 1 18 -0.020409 In -0.020507 -0.020310 50/1 0/1 1 18 -0.020000 In -0.024714 -0.015286 -49/2 -1/1 1 9 0.040772 In 0.034247 0.047297 -47/2 1/1 1 9 0.042606 In 0.035211 0.050000 -45/2 -1/1 1 9 0.044392 In 0.037313 0.051471 -43/2 1/1 1 9 0.046575 In 0.038462 0.054688 -41/2 -1/1 1 9 0.048718 In 0.040984 0.056452 -39/2 1/1 1 9 0.051359 In 0.042373 0.060345 -37/2 -1/1 1 9 0.053977 In 0.045455 0.062500 -35/2 1/1 1 9 0.057239 In 0.047170 0.067308 -33/2 -1/1 1 9 0.060510 In 0.051020 0.070000 -31/2 1/1 1 9 0.064639 In 0.053191 0.076087 -29/2 -1/1 1 9 0.068842 In 0.058140 0.079545 -27/2 1/1 1 9 0.074238 In 0.060976 0.087500 -25/2 -1/1 1 9 0.079836 In 0.067568 0.092105 -23/2 1/1 1 9 0.087185 In 0.071429 0.102941 -21/2 -1/1 1 9 0.095010 In 0.080645 0.109375 -19/2 1/1 1 9 0.105603 In 0.086207 0.125000 -17/2 -1/1 1 9 0.117308 In 0.100000 0.134615 -15/2 1/1 1 9 0.133893 In 0.108696 0.159091 -13/2 -1/1 1 9 0.153289 In 0.131579 0.175000 -11/2 1/1 1 9 0.182904 In 0.147059 0.218750 -9/2 -1/1 1 9 0.221154 In 0.192308 0.250000 -7/2 1/1 1 9 0.288636 In 0.227273 0.350000 -5/2 -1/1 1 9 0.397321 In 0.357143 0.437500 -3/2 1/1 1 9 0.687500 In 0.500000 0.875000 -1/2 -1/1 1 9 2.125000 In 1.750000 2.500000 1/2 1/1 1 9 -2.125000 In -2.500000 -1.750000 3/2 -1/1 1 9 -0.687500 In -0.875000 -0.500000 5/2 1/1 1 9 -0.397321 In -0.437500 -0.357143 7/2 -1/1 1 9 -0.288636 In -0.350000 -0.227273 9/2 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-46/3 0 6 -44/3 0 6 -43/3 0 6 -41/3 0 6 -40/3 0 6 -38/3 0 6 -37/3 0 6 -35/3 0 6 -34/3 0 6 -32/3 0 6 -31/3 0 6 -29/3 0 6 -28/3 0 6 -26/3 0 6 -25/3 0 6 -23/3 0 6 -22/3 0 6 -20/3 0 6 -19/3 0 6 -17/3 0 6 -16/3 0 6 -14/3 0 6 -13/3 0 6 -11/3 0 6 -10/3 0 6 -8/3 0 6 -7/3 0 6 -5/3 0 6 -4/3 0 6 -2/3 0 6 -1/3 0 6 1/3 0 6 2/3 0 6 4/3 0 6 5/3 0 6 7/3 0 6 8/3 0 6 10/3 0 6 11/3 0 6 13/3 0 6 14/3 0 6 16/3 0 6 17/3 0 6 19/3 0 6 20/3 0 6 22/3 0 6 23/3 0 6 25/3 0 6 26/3 0 6 28/3 0 6 29/3 0 6 31/3 0 6 32/3 0 6 34/3 0 6 35/3 0 6 37/3 0 6 38/3 0 6 40/3 0 6 41/3 0 6 43/3 0 6 44/3 0 6 46/3 0 6 47/3 0 6 49/3 0 6 50/3 0 6 -49/4 0 9 -47/4 0 9 -45/4 0 9 -43/4 0 9 -41/4 0 9 -39/4 0 9 -37/4 0 9 -35/4 0 9 -33/4 0 9 -31/4 0 9 -29/4 0 9 -27/4 0 9 -25/4 0 9 -23/4 0 9 -21/4 0 9 -19/4 0 9 -17/4 0 9 -15/4 0 9 -13/4 0 9 -11/4 0 9 -9/4 0 9 -7/4 0 9 -5/4 0 9 -3/4 0 9 -1/4 0 9 1/4 0 9 3/4 0 9 5/4 0 9 7/4 0 9 9/4 0 9 11/4 0 9 13/4 0 9 15/4 0 9 17/4 0 9 19/4 0 9 21/4 0 9 23/4 0 9 25/4 0 9 27/4 0 9 29/4 0 9 31/4 0 9 33/4 0 9 35/4 0 9 37/4 0 9 39/4 0 9 41/4 0 9 43/4 0 9 45/4 0 9 47/4 0 9 49/4 0 9 -49/5 1/2 1 18 0.102089 In 0.091978 0.112201 -48/5 0/1 1 18 0.104167 In 0.099256 0.109077 -47/5 1/0 1 18 0.106386 In 0.105852 0.106919 -46/5 2/1 1 18 0.108760 In 0.102521 0.114998 -44/5 -2/1 1 18 0.113592 In 0.109452 0.117732 -43/5 1/0 1 18 0.116283 In 0.115645 0.116920 -42/5 0/1 1 18 0.119048 In 0.113436 0.124660 -41/5 -1/2 1 18 0.121889 In 0.111092 0.132686 -39/5 1/2 1 18 0.128283 In 0.115420 0.141145 -38/5 0/1 1 18 0.131579 In 0.125376 0.137782 -37/5 1/0 1 18 0.135141 In 0.134280 0.136002 -36/5 2/1 1 18 0.138998 In 0.130631 0.147366 -34/5 -2/1 1 18 0.146991 In 0.142097 0.151885 -33/5 1/0 1 18 0.151523 In 0.150441 0.152605 -32/5 0/1 1 18 0.156250 In 0.148884 0.163616 -31/5 -1/2 1 18 0.161184 In 0.147203 0.175165 -29/5 1/2 1 18 0.172557 In 0.154899 0.190215 -28/5 0/1 1 18 0.178571 In 0.170153 0.186989 -27/5 1/0 1 18 0.185199 In 0.183583 0.186816 -26/5 2/1 1 18 0.192535 In 0.179979 0.205092 -24/5 -2/1 1 18 0.208221 In 0.202490 0.213952 -23/5 1/0 1 18 0.217414 In 0.215186 0.219642 -22/5 0/1 1 18 0.227273 In 0.216559 0.237986 -21/5 -1/2 1 18 0.237873 In 0.218095 0.257651 -19/5 1/2 1 18 0.263506 In 0.235427 0.291586 -18/5 0/1 1 18 0.277778 In 0.264683 0.290872 -17/5 1/0 1 18 0.294174 In 0.290096 0.298253 -16/5 2/1 1 18 0.313206 In 0.289247 0.337165 -14/5 -2/1 1 18 0.356981 In 0.352165 0.361796 -13/5 1/0 1 18 0.384742 In 0.377766 0.391718 -12/5 0/1 1 18 0.416667 In 0.397025 0.436309 -11/5 -1/2 1 18 0.453836 In 0.420705 0.486966 -9/5 1/2 1 18 0.557310 In 0.490336 0.624283 -8/5 0/1 1 18 0.625000 In 0.595537 0.654463 -7/5 1/0 1 18 0.715096 In 0.691018 0.739175 -6/5 2/1 1 18 0.841615 In 0.736208 0.947022 -4/5 -2/1 1 18 1.260563 In 1.170930 1.350197 -3/5 1/0 1 18 1.677019 In 1.545260 1.808778 -2/5 0/1 1 18 2.500000 In 2.382149 2.617851 -1/5 -1/2 1 18 5.176471 In 4.427769 5.925172 1/5 1/2 1 18 -5.176471 In -5.925172 -4.427769 2/5 0/1 1 18 -2.500000 In -2.617851 -2.382149 3/5 1/0 1 18 -1.677019 In -1.808778 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31/5 1/2 1 18 -0.161184 In -0.175165 -0.147203 32/5 0/1 1 18 -0.156250 In -0.163616 -0.148884 33/5 1/0 1 18 -0.151523 In -0.152605 -0.150441 34/5 2/1 1 18 -0.146991 In -0.151885 -0.142097 36/5 -2/1 1 18 -0.138998 In -0.147366 -0.130631 37/5 1/0 1 18 -0.135141 In -0.136002 -0.134280 38/5 0/1 1 18 -0.131579 In -0.137782 -0.125376 39/5 -1/2 1 18 -0.128283 In -0.141145 -0.115420 41/5 1/2 1 18 -0.121889 In -0.132686 -0.111092 42/5 0/1 1 18 -0.119048 In -0.124660 -0.113436 43/5 1/0 1 18 -0.116283 In -0.116920 -0.115645 44/5 2/1 1 18 -0.113592 In -0.117732 -0.109452 46/5 -2/1 1 18 -0.108760 In -0.114998 -0.102521 47/5 1/0 1 18 -0.106386 In -0.106919 -0.105852 48/5 0/1 1 18 -0.104167 In -0.109077 -0.099256 49/5 -1/2 1 18 -0.102089 In -0.112201 -0.091978 -49/6 0/1 3 3 0.122449 In 0.102041 0.142857 -47/6 0/1 3 3 0.127660 In 0.106383 0.148936 -43/6 1/0 3 3 0.139610 In 0.136364 0.142857 -41/6 1/0 3 3 0.146429 In 0.142857 0.150000 -37/6 0/1 3 3 0.162162 In 0.135135 0.189189 -35/6 0/1 3 3 0.171429 In 0.142857 0.200000 -31/6 1/0 3 3 0.193750 In 0.187500 0.200000 -29/6 1/0 3 3 0.207143 In 0.200000 0.214286 -25/6 0/1 3 3 0.240000 In 0.200000 0.280000 -23/6 0/1 3 3 0.260870 In 0.217391 0.304348 -19/6 1/0 3 3 0.316667 In 0.300000 0.333333 -17/6 1/0 3 3 0.354167 In 0.333333 0.375000 -13/6 0/1 3 3 0.461538 In 0.384615 0.538462 -11/6 0/1 3 3 0.545455 In 0.454545 0.636364 -7/6 1/0 3 3 0.875000 In 0.750000 1.000000 -5/6 1/0 3 3 1.250000 In 1.000000 1.500000 -1/6 0/1 3 3 6.000000 In 5.000000 7.000000 1/6 0/1 3 3 -6.000000 In -7.000000 -5.000000 5/6 1/0 3 3 -1.250000 In -1.500000 -1.000000 7/6 1/0 3 3 -0.875000 In -1.000000 -0.750000 11/6 0/1 3 3 -0.545455 In -0.636364 -0.454545 13/6 0/1 3 3 -0.461538 In -0.538462 -0.384615 17/6 1/0 3 3 -0.354167 In -0.375000 -0.333333 19/6 1/0 3 3 -0.316667 In -0.333333 -0.300000 23/6 0/1 3 3 -0.260870 In -0.304348 -0.217391 25/6 0/1 3 3 -0.240000 In -0.280000 -0.200000 29/6 1/0 3 3 -0.207143 In -0.214286 -0.200000 31/6 1/0 3 3 -0.193750 In -0.200000 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