SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 0 28 -49/1 0 28 -48/1 0 28 -47/1 0 28 -46/1 0 28 -45/1 0 28 -44/1 0 28 -43/1 0 28 -42/1 0 28 -41/1 0 28 -40/1 0 28 -39/1 0 28 -38/1 0 28 -37/1 0 28 -36/1 0 28 -35/1 0 28 -34/1 0 28 -33/1 0 28 -32/1 0 28 -31/1 0 28 -30/1 0 28 -29/1 0 28 -28/1 0 28 -27/1 0 28 -26/1 0 28 -25/1 0 28 -24/1 0 28 -23/1 0 28 -22/1 0 28 -21/1 0 28 -20/1 0 28 -19/1 0 28 -18/1 0 28 -17/1 0 28 -16/1 0 28 -15/1 0 28 -14/1 0 28 -13/1 0 28 -12/1 0 28 -11/1 0 28 -10/1 0 28 -9/1 0 28 -8/1 0 28 -7/1 0 28 -6/1 0 28 -5/1 0 28 -4/1 0 28 -3/1 0 28 -2/1 0 28 -1/1 0 28 0/1 0 28 1/1 0 28 2/1 0 28 3/1 0 28 4/1 0 28 5/1 0 28 6/1 0 28 7/1 0 28 8/1 0 28 9/1 0 28 10/1 0 28 11/1 0 28 12/1 0 28 13/1 0 28 14/1 0 28 15/1 0 28 16/1 0 28 17/1 0 28 18/1 0 28 19/1 0 28 20/1 0 28 21/1 0 28 22/1 0 28 23/1 0 28 24/1 0 28 25/1 0 28 26/1 0 28 27/1 0 28 28/1 0 28 29/1 0 28 30/1 0 28 31/1 0 28 32/1 0 28 33/1 0 28 34/1 0 28 35/1 0 28 36/1 0 28 37/1 0 28 38/1 0 28 39/1 0 28 40/1 0 28 41/1 0 28 42/1 0 28 43/1 0 28 44/1 0 28 45/1 0 28 46/1 0 28 47/1 0 28 48/1 0 28 49/1 0 28 50/1 0 28 -49/2 1/0 1 14 0.040818 In 0.040595 0.041040 -47/2 1/0 1 14 0.042555 In 0.042313 0.042797 -45/2 1/0 1 14 0.044446 In 0.044182 0.044710 -43/2 1/0 1 14 0.046513 In 0.046224 0.046803 -41/2 1/0 1 14 0.048783 In 0.048465 0.049101 -39/2 1/0 1 14 0.051284 In 0.050933 0.051636 -37/2 1/0 1 14 0.054057 In 0.053666 0.054447 -35/2 1/0 1 14 0.057146 In 0.056710 0.057583 -33/2 1/0 1 14 0.060610 In 0.060119 0.061101 -31/2 1/0 1 14 0.064521 In 0.063965 0.065077 -29/2 1/0 1 14 0.068971 In 0.068336 0.069607 -27/2 1/0 1 14 0.074081 In 0.073348 0.074815 -25/2 1/0 1 14 0.080009 In 0.079154 0.080864 -23/2 1/0 1 14 0.086968 In 0.085958 0.087979 -21/2 1/0 1 14 0.095254 In 0.094041 0.096466 -19/2 1/0 1 14 0.105284 In 0.103803 0.106765 -17/2 1/0 1 14 0.117676 In 0.115826 0.119526 -15/2 1/0 1 14 0.133376 In 0.130999 0.135752 -13/2 1/0 1 14 0.153911 In 0.150747 0.157075 -11/2 1/0 1 14 0.181926 In 0.177505 0.186346 -9/2 1/0 1 14 0.222418 In 0.215813 0.229023 -7/2 1/0 1 14 0.286131 In 0.275207 0.297056 -5/2 1/0 1 14 0.401146 In 0.379704 0.422588 -3/2 1/0 1 14 0.672000 In 0.612133 0.731867 -1/2 1/0 1 14 2.153846 In 1.578207 2.729486 1/2 1/0 1 14 -2.153846 In -2.729486 -1.578207 3/2 1/0 1 14 -0.672000 In -0.731867 -0.612133 5/2 1/0 1 14 -0.401146 In -0.422588 -0.379704 7/2 1/0 1 14 -0.286131 In -0.297056 -0.275207 9/2 1/0 1 14 -0.222418 In -0.229023 -0.215813 11/2 1/0 1 14 -0.181926 In -0.186346 -0.177505 13/2 1/0 1 14 -0.153911 In -0.157075 -0.150747 15/2 1/0 1 14 -0.133376 In -0.135752 -0.130999 17/2 1/0 1 14 -0.117676 In -0.119526 -0.115826 19/2 1/0 1 14 -0.105284 In -0.106765 -0.103803 21/2 1/0 1 14 -0.095254 In -0.096466 -0.094041 23/2 1/0 1 14 -0.086968 In -0.087979 -0.085958 25/2 1/0 1 14 -0.080009 In -0.080864 -0.079154 27/2 1/0 1 14 -0.074081 In -0.074815 -0.073348 29/2 1/0 1 14 -0.068971 In -0.069607 -0.068336 31/2 1/0 1 14 -0.064521 In -0.065077 -0.063965 33/2 1/0 1 14 -0.060610 In -0.061101 -0.060119 35/2 1/0 1 14 -0.057146 In -0.057583 -0.056710 37/2 1/0 1 14 -0.054057 In -0.054447 -0.053666 39/2 1/0 1 14 -0.051284 In -0.051636 -0.050933 41/2 1/0 1 14 -0.048783 In -0.049101 -0.048465 43/2 1/0 1 14 -0.046513 In -0.046803 -0.046224 45/2 1/0 1 14 -0.044446 In -0.044710 -0.044182 47/2 1/0 1 14 -0.042555 In -0.042797 -0.042313 49/2 1/0 1 14 -0.040818 In -0.041040 -0.040595 -50/3 0 28 -49/3 0 28 -47/3 0 28 -46/3 0 28 -44/3 0 28 -43/3 0 28 -41/3 0 28 -40/3 0 28 -38/3 0 28 -37/3 0 28 -35/3 0 28 -34/3 0 28 -32/3 0 28 -31/3 0 28 -29/3 0 28 -28/3 0 28 -26/3 0 28 -25/3 0 28 -23/3 0 28 -22/3 0 28 -20/3 0 28 -19/3 0 28 -17/3 0 28 -16/3 0 28 -14/3 0 28 -13/3 0 28 -11/3 0 28 -10/3 0 28 -8/3 0 28 -7/3 0 28 -5/3 0 28 -4/3 0 28 -2/3 0 28 -1/3 0 28 1/3 0 28 2/3 0 28 4/3 0 28 5/3 0 28 7/3 0 28 8/3 0 28 10/3 0 28 11/3 0 28 13/3 0 28 14/3 0 28 16/3 0 28 17/3 0 28 19/3 0 28 20/3 0 28 22/3 0 28 23/3 0 28 25/3 0 28 26/3 0 28 28/3 0 28 29/3 0 28 31/3 0 28 32/3 0 28 34/3 0 28 35/3 0 28 37/3 0 28 38/3 0 28 40/3 0 28 41/3 0 28 43/3 0 28 44/3 0 28 46/3 0 28 47/3 0 28 49/3 0 28 50/3 0 28 -49/4 1/0 1 7 0.081638 In 0.081008 0.082267 -47/4 1/0 1 7 0.085112 In 0.084427 0.085796 -45/4 0 7 -43/4 0 7 -41/4 1/0 1 7 0.097569 In 0.096670 0.098469 -39/4 1/0 1 7 0.102574 In 0.101580 0.103568 -37/4 0 7 -35/4 0 7 -33/4 1/0 1 7 0.121228 In 0.119840 0.122617 -31/4 1/0 1 7 0.129051 In 0.127478 0.130625 -29/4 0 7 -27/4 0 7 -25/4 1/0 1 7 0.160037 In 0.157617 0.162456 -23/4 1/0 1 7 0.173960 In 0.171101 0.176819 -21/4 0 7 -19/4 0 7 -17/4 1/0 1 7 0.235410 In 0.230177 0.240644 -15/4 1/0 1 7 0.266836 In 0.260112 0.273560 -13/4 0 7 -11/4 0 7 -9/4 1/0 1 7 0.445230 In 0.426532 0.463928 -7/4 1/0 1 7 0.573099 In 0.542155 0.604044 -5/4 0 7 -3/4 0 7 -1/4 1/0 1 7 4.666667 In 2.902832 6.430501 1/4 1/0 1 7 -4.666667 In -6.430501 -2.902832 3/4 0 7 5/4 0 7 7/4 1/0 1 7 -0.573099 In -0.604044 -0.542155 9/4 1/0 1 7 -0.445230 In -0.463928 -0.426532 11/4 0 7 13/4 0 7 15/4 1/0 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7/5 0 28 8/5 0 28 9/5 0 28 11/5 0 28 12/5 0 28 13/5 0 28 14/5 0 28 16/5 0 28 17/5 0 28 18/5 0 28 19/5 0 28 21/5 0 28 22/5 0 28 23/5 0 28 24/5 0 28 26/5 0 28 27/5 0 28 28/5 0 28 29/5 0 28 31/5 0 28 32/5 0 28 33/5 0 28 34/5 0 28 36/5 0 28 37/5 0 28 38/5 0 28 39/5 0 28 41/5 0 28 42/5 0 28 43/5 0 28 44/5 0 28 46/5 0 28 47/5 0 28 48/5 0 28 49/5 0 28 -49/6 1/0 1 14 0.122453 In 0.121785 0.123121 -47/6 1/0 1 14 0.127664 In 0.126938 0.128390 -43/6 1/0 1 14 0.139540 In 0.138673 0.140408 -41/6 1/0 1 14 0.146348 In 0.145394 0.147302 -37/6 1/0 1 14 0.162171 In 0.160999 0.163342 -35/6 1/0 1 14 0.171439 In 0.170129 0.172748 -31/6 1/0 1 14 0.193563 In 0.191894 0.195232 -29/6 1/0 1 14 0.206914 In 0.205007 0.208821 -25/6 1/0 1 14 0.240027 In 0.237461 0.242593 -23/6 1/0 1 14 0.260905 In 0.257873 0.263937 -19/6 1/0 1 14 0.315852 In 0.311409 0.320295 -17/6 1/0 1 14 0.353028 In 0.347478 0.358578 -13/6 1/0 1 14 0.461734 In 0.452241 0.471226 -11/6 1/0 1 14 0.545777 In 0.532516 0.559037 -7/6 1/0 1 14 0.858394 In 0.825621 0.891168 -5/6 1/0 1 14 1.203438 In 1.139112 1.267765 -1/6 1/0 1 14 6.461538 In 4.734620 8.188457 1/6 1/0 1 14 -6.461538 In -8.188457 -4.734620 5/6 1/0 1 14 -1.203438 In -1.267765 -1.139112 7/6 1/0 1 14 -0.858394 In -0.891168 -0.825621 11/6 1/0 1 14 -0.545777 In -0.559037 -0.532516 13/6 1/0 1 14 -0.461734 In -0.471226 -0.452241 17/6 1/0 1 14 -0.353028 In -0.358578 -0.347478 19/6 1/0 1 14 -0.315852 In -0.320295 -0.311409 23/6 1/0 1 14 -0.260905 In -0.263937 -0.257873 25/6 1/0 1 14 -0.240027 In -0.242593 -0.237461 29/6 1/0 1 14 -0.206914 In -0.208821 -0.205007 31/6 1/0 1 14 -0.193563 In -0.195232 -0.191894 35/6 1/0 1 14 -0.171439 In -0.172748 -0.170129 37/6 1/0 1 14 -0.162171 In -0.163342 -0.160999 41/6 1/0 1 14 -0.146348 In -0.147302 -0.145394 43/6 1/0 1 14 -0.139540 In -0.140408 -0.138673 47/6 1/0 1 14 -0.127664 In -0.128390 -0.126938 49/6 1/0 1 14 -0.122453 In -0.123121 -0.121785 -50/7 -7/1 2 4 0.139972 In 0.139686 0.140257 -48/7 -7/1 2 4 0.145865 In 0.145555 0.146176 -47/7 -7/1 1 4 0.148970 In 0.148515 0.149425 -46/7 -6/1 2 4 0.152050 In 0.150701 0.153398 -45/7 -6/1 1 4 0.155506 In 0.154762 0.156250 -44/7 1/0 2 4 0.159132 In 0.156575 0.161689 -43/7 1/0 1 4 0.162813 In 0.160920 0.164706 -41/7 1/0 1 4 0.170757 In 0.168675 0.172840 -40/7 1/0 2 4 0.175055 In 0.171960 0.178149 -39/7 -6/1 1 4 0.179563 In 0.178571 0.180556 -38/7 -6/1 2 4 0.184432 In 0.182449 0.186415 -37/7 -5/1 1 4 0.189140 In 0.188406 0.189873 -36/7 -5/1 2 4 0.194390 In 0.193839 0.194941 -34/7 -5/1 2 4 0.205947 In 0.205328 0.206565 -33/7 -5/1 1 4 0.212191 In 0.211268 0.213115 -32/7 -4/1 2 4 0.218504 In 0.215720 0.221288 -31/7 -4/1 1 4 0.225705 In 0.224138 0.227273 -30/7 1/0 2 4 0.233463 In 0.227960 0.238966 -29/7 1/0 1 4 0.241451 In 0.237288 0.245614 -27/7 1/0 1 4 0.259348 In 0.254545 0.264151 -26/7 1/0 2 4 0.269430 In 0.262103 0.276758 -25/7 -4/1 1 4 0.280193 In 0.277778 0.282609 -24/7 -4/1 2 4 0.292254 In 0.287274 0.297233 -23/7 -3/1 1 4 0.304224 In 0.302326 0.306122 -22/7 -3/1 2 4 0.318040 In 0.316565 0.319514 -20/7 -3/1 2 4 0.350190 In 0.348402 0.351978 -19/7 -3/1 1 4 0.368641 In 0.365854 0.371429 -18/7 -2/1 2 4 0.388199 In 0.379415 0.396983 -17/7 -2/1 1 4 0.411458 In 0.406250 0.416667 -16/7 1/0 2 4 0.438356 In 0.418983 0.457729 -15/7 1/0 1 4 0.467186 In 0.451613 0.482759 -13/7 1/0 1 4 0.539259 In 0.518519 0.560000 -12/7 1/0 2 4 0.585366 In 0.550873 0.619859 -11/7 -2/1 1 4 0.637500 In 0.625000 0.650000 -10/7 -2/1 2 4 0.704082 In 0.675220 0.732943 -9/7 -1/1 1 4 0.777090 In 0.764706 0.789474 -8/7 -1/1 2 4 0.874016 In 0.862880 0.885151 -6/7 -1/1 2 4 1.169014 In 1.149096 1.188933 -5/7 -1/1 1 4 1.404040 In 1.363636 1.444444 -4/7 0/1 2 4 1.750000 In 1.573223 1.926777 -3/7 0/1 1 4 2.333333 In 2.166667 2.500000 -2/7 1/0 2 4 4.000000 In 2.585786 5.414214 -1/7 1/0 1 4 9.333333 In 4.666667 14.000000 1/7 1/0 1 4 -9.333333 In -14.000000 -4.666667 2/7 1/0 2 4 -4.000000 In -5.414214 -2.585786 3/7 0/1 1 4 -2.333333 In -2.500000 -2.166667 4/7 0/1 2 4 -1.750000 In -1.926777 -1.573223 5/7 1/1 1 4 -1.404040 In -1.444444 -1.363636 6/7 1/1 2 4 -1.169014 In -1.188933 -1.149096 8/7 1/1 2 4 -0.874016 In -0.885151 -0.862880 9/7 1/1 1 4 -0.777090 In -0.789474 -0.764706 10/7 2/1 2 4 -0.704082 In -0.732943 -0.675220 11/7 2/1 1 4 -0.637500 In -0.650000 -0.625000 12/7 1/0 2 4 -0.585366 In -0.619859 -0.550873 13/7 1/0 1 4 -0.539259 In -0.560000 -0.518519 15/7 1/0 1 4 -0.467186 In -0.482759 -0.451613 16/7 1/0 2 4 -0.438356 In -0.457729 -0.418983 17/7 2/1 1 4 -0.411458 In -0.416667 -0.406250 18/7 2/1 2 4 -0.388199 In -0.396983 -0.379415 19/7 3/1 1 4 -0.368641 In -0.371429 -0.365854 20/7 3/1 2 4 -0.350190 In -0.351978 -0.348402 22/7 3/1 2 4 -0.318040 In -0.319514 -0.316565 23/7 3/1 1 4 -0.304224 In -0.306122 -0.302326 24/7 4/1 2 4 -0.292254 In -0.297233 -0.287274 25/7 4/1 1 4 -0.280193 In -0.282609 -0.277778 26/7 1/0 2 4 -0.269430 In -0.276758 -0.262103 27/7 1/0 1 4 -0.259348 In -0.264151 -0.254545 29/7 1/0 1 4 -0.241451 In -0.245614 -0.237288 30/7 1/0 2 4 -0.233463 In -0.238966 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-35/8 0 7 -33/8 1/0 1 7 0.242456 In 0.239679 0.245233 -31/8 1/0 1 7 0.258103 In 0.254956 0.261250 -29/8 0 7 -27/8 0 7 -25/8 1/0 1 7 0.320073 In 0.315234 0.324912 -23/8 1/0 1 7 0.347920 In 0.342203 0.353637 -21/8 0 7 -19/8 0 7 -17/8 1/0 1 7 0.470821 In 0.460353 0.481289 -15/8 1/0 1 7 0.533672 In 0.520225 0.547119 -13/8 0 7 -11/8 0 7 -9/8 1/0 1 7 0.890459 In 0.853064 0.927855 -7/8 1/0 1 7 1.146199 In 1.084310 1.208088 -5/8 0 7 -3/8 0 7 -1/8 1/0 1 7 9.333333 In 5.805665 12.861002 1/8 1/0 1 7 -9.333333 In -12.861002 -5.805665 3/8 0 7 5/8 0 7 7/8 1/0 1 7 -1.146199 In -1.208088 -1.084310 9/8 1/0 1 7 -0.890459 In -0.927855 -0.853064 11/8 0 7 13/8 0 7 15/8 1/0 1 7 -0.533672 In -0.547119 -0.520225 17/8 1/0 1 7 -0.470821 In -0.481289 -0.460353 19/8 0 7 21/8 0 7 23/8 1/0 1 7 -0.347920 In -0.353637 -0.342203 25/8 1/0 1 7 -0.320073 In -0.324912 -0.315234 27/8 0 7 29/8 0 7 31/8 1/0 1 7 -0.258103 In -0.261250 -0.254956 33/8 1/0 1 7 -0.242456 In -0.245233 -0.239679 35/8 0 7 37/8 0 7 39/8 1/0 1 7 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