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 -50/1 1 16 -49/1 -49/1 1 16 -48/1 -48/1 1 16 -47/1 -47/1 1 16 -46/1 -46/1 1 16 -45/1 -45/1 1 16 -44/1 -44/1 1 16 -43/1 -43/1 1 16 -42/1 -42/1 1 16 -41/1 -41/1 1 16 -40/1 -40/1 1 16 -39/1 -39/1 1 16 -38/1 -38/1 1 16 -37/1 -37/1 1 16 -36/1 -36/1 1 16 -35/1 -35/1 1 16 -34/1 -34/1 1 16 -33/1 -33/1 1 16 -32/1 -32/1 1 16 -31/1 -31/1 1 16 -30/1 -30/1 1 16 -29/1 -29/1 1 16 -28/1 -28/1 1 16 -27/1 -27/1 1 16 -26/1 -26/1 1 16 -25/1 -25/1 1 16 -24/1 -24/1 1 16 -23/1 -23/1 1 16 -22/1 -22/1 1 16 -21/1 -21/1 1 16 -20/1 -20/1 1 16 -19/1 -19/1 1 16 -18/1 -18/1 1 16 -17/1 -17/1 1 16 -16/1 -16/1 1 16 -15/1 -15/1 1 16 -14/1 -14/1 1 16 -13/1 -13/1 1 16 -12/1 -12/1 1 16 -11/1 -11/1 1 16 -10/1 -10/1 1 16 -9/1 -9/1 1 16 -8/1 -8/1 1 16 -7/1 -7/1 1 16 -6/1 -6/1 1 16 -5/1 -5/1 1 16 -4/1 -4/1 1 16 -3/1 -3/1 1 16 -2/1 -2/1 1 16 -1/1 -1/1 1 16 0/1 0/1 1 16 1/1 1/1 1 16 2/1 2/1 1 16 3/1 3/1 1 16 4/1 4/1 1 16 5/1 5/1 1 16 6/1 6/1 1 16 7/1 7/1 1 16 8/1 8/1 1 16 9/1 9/1 1 16 10/1 10/1 1 16 11/1 11/1 1 16 12/1 12/1 1 16 13/1 13/1 1 16 14/1 14/1 1 16 15/1 15/1 1 16 16/1 16/1 1 16 17/1 17/1 1 16 18/1 18/1 1 16 19/1 19/1 1 16 20/1 20/1 1 16 21/1 21/1 1 16 22/1 22/1 1 16 23/1 23/1 1 16 24/1 24/1 1 16 25/1 25/1 1 16 26/1 26/1 1 16 27/1 27/1 1 16 28/1 28/1 1 16 29/1 29/1 1 16 30/1 30/1 1 16 31/1 31/1 1 16 32/1 32/1 1 16 33/1 33/1 1 16 34/1 34/1 1 16 35/1 35/1 1 16 36/1 36/1 1 16 37/1 37/1 1 16 38/1 38/1 1 16 39/1 39/1 1 16 40/1 40/1 1 16 41/1 41/1 1 16 42/1 42/1 1 16 43/1 43/1 1 16 44/1 44/1 1 16 45/1 45/1 1 16 46/1 46/1 1 16 47/1 47/1 1 16 48/1 48/1 1 16 49/1 49/1 1 16 50/1 50/1 1 16 -49/2 0 8 -47/2 0 8 -45/2 0 8 -43/2 0 8 -41/2 0 8 -39/2 0 8 -37/2 0 8 -35/2 0 8 -33/2 0 8 -31/2 0 8 -29/2 0 8 -27/2 0 8 -25/2 0 8 -23/2 0 8 -21/2 0 8 -19/2 0 8 -17/2 0 8 -15/2 0 8 -13/2 0 8 -11/2 0 8 -9/2 0 8 -7/2 0 8 -5/2 0 8 -3/2 0 8 -1/2 0 8 1/2 0 8 3/2 0 8 5/2 0 8 7/2 0 8 9/2 0 8 11/2 0 8 13/2 0 8 15/2 0 8 17/2 0 8 19/2 0 8 21/2 0 8 23/2 0 8 25/2 0 8 27/2 0 8 29/2 0 8 31/2 0 8 33/2 0 8 35/2 0 8 37/2 0 8 39/2 0 8 41/2 0 8 43/2 0 8 45/2 0 8 47/2 0 8 49/2 0 8 -50/3 -16/1 1 16 0.059984 In 0.059783 0.060185 -49/3 -17/1 1 16 0.061243 In 0.061033 0.061453 -47/3 -15/1 1 16 0.063812 In 0.063584 0.064039 -46/3 -16/1 1 16 0.065238 In 0.065000 0.065476 -44/3 -14/1 1 16 0.068161 In 0.067901 0.068421 -43/3 -15/1 1 16 0.069791 In 0.069519 0.070064 -41/3 -13/1 1 16 0.073147 In 0.072848 0.073446 -40/3 -14/1 1 16 0.075028 In 0.074713 0.075342 -38/3 -12/1 1 16 0.078920 In 0.078571 0.079268 -37/3 -13/1 1 16 0.081113 In 0.080745 0.081481 -35/3 -11/1 1 16 0.085682 In 0.085271 0.086093 -34/3 -12/1 1 16 0.088274 In 0.087838 0.088710 -32/3 -10/1 1 16 0.093712 In 0.093220 0.094203 -31/3 -11/1 1 16 0.096821 In 0.096296 0.097345 -29/3 -9/1 1 16 0.103402 In 0.102804 0.104000 -28/3 -10/1 1 16 0.107200 In 0.106557 0.107843 -26/3 -8/1 1 16 0.115327 In 0.114583 0.116071 -25/3 -9/1 1 16 0.120073 In 0.119266 0.120879 -23/3 -7/1 1 16 0.130362 In 0.129412 0.131313 -22/3 -8/1 1 16 0.136458 In 0.135417 0.137500 -20/3 -6/1 1 16 0.149906 In 0.148649 0.151163 -19/3 -7/1 1 16 0.158023 In 0.156627 0.159420 -17/3 -5/1 1 16 0.176343 In 0.174603 0.178082 -16/3 -6/1 1 16 0.187685 In 0.185714 0.189655 -14/3 -4/1 1 16 0.214103 In 0.211538 0.216667 -13/3 -5/1 1 16 0.231056 In 0.228070 0.234043 -11/3 -3/1 1 16 0.272444 In 0.268293 0.276596 -10/3 -4/1 1 16 0.300505 In 0.295455 0.305556 -8/3 -2/1 1 16 0.374510 In 0.366667 0.382353 -7/3 -3/1 1 16 0.429677 In 0.419355 0.440000 -5/3 -1/1 1 16 0.598997 In 0.578947 0.619048 -4/3 -2/1 1 16 0.753968 In 0.722222 0.785714 -2/3 0/1 1 16 1.500000 In 1.375000 1.625000 -1/3 -1/1 1 16 3.133333 In 2.600000 3.666667 1/3 1/1 1 16 -3.133333 In -3.666667 -2.600000 2/3 0/1 1 16 -1.500000 In -1.625000 -1.375000 4/3 2/1 1 16 -0.753968 In -0.785714 -0.722222 5/3 1/1 1 16 -0.598997 In -0.619048 -0.578947 7/3 3/1 1 16 -0.429677 In -0.440000 -0.419355 8/3 2/1 1 16 -0.374510 In -0.382353 -0.366667 10/3 4/1 1 16 -0.300505 In -0.305556 -0.295455 11/3 3/1 1 16 -0.272444 In -0.276596 -0.268293 13/3 5/1 1 16 -0.231056 In -0.234043 -0.228070 14/3 4/1 1 16 -0.214103 In -0.216667 -0.211538 16/3 6/1 1 16 -0.187685 In -0.189655 -0.185714 17/3 5/1 1 16 -0.176343 In -0.178082 -0.174603 19/3 7/1 1 16 -0.158023 In -0.159420 -0.156627 20/3 6/1 1 16 -0.149906 In -0.151163 -0.148649 22/3 8/1 1 16 -0.136458 In -0.137500 -0.135417 23/3 7/1 1 16 -0.130362 In -0.131313 -0.129412 25/3 9/1 1 16 -0.120073 In -0.120879 -0.119266 26/3 8/1 1 16 -0.115327 In -0.116071 -0.114583 28/3 10/1 1 16 -0.107200 In -0.107843 -0.106557 29/3 9/1 1 16 -0.103402 In -0.104000 -0.102804 31/3 11/1 1 16 -0.096821 In -0.097345 -0.096296 32/3 10/1 1 16 -0.093712 In -0.094203 -0.093220 34/3 12/1 1 16 -0.088274 In -0.088710 -0.087838 35/3 11/1 1 16 -0.085682 In -0.086093 -0.085271 37/3 13/1 1 16 -0.081113 In -0.081481 -0.080745 38/3 12/1 1 16 -0.078920 In -0.079268 -0.078571 40/3 14/1 1 16 -0.075028 In -0.075342 -0.074713 41/3 13/1 1 16 -0.073147 In -0.073446 -0.072848 43/3 15/1 1 16 -0.069791 In -0.070064 -0.069519 44/3 14/1 1 16 -0.068161 In -0.068421 -0.067901 46/3 16/1 1 16 -0.065238 In -0.065476 -0.065000 47/3 15/1 1 16 -0.063812 In -0.064039 -0.063584 49/3 17/1 1 16 -0.061243 In -0.061453 -0.061033 50/3 16/1 1 16 -0.059984 In -0.060185 -0.059783 -49/4 0 4 -47/4 0 4 -45/4 0 4 -43/4 0 4 -41/4 0 4 -39/4 0 4 -37/4 0 4 -35/4 0 4 -33/4 0 4 -31/4 0 4 -29/4 0 4 -27/4 0 4 -25/4 0 4 -23/4 0 4 -21/4 0 4 -19/4 0 4 -17/4 0 4 -15/4 0 4 -13/4 0 4 -11/4 0 4 -9/4 0 4 -7/4 0 4 -5/4 0 4 -3/4 0 4 -1/4 0 4 1/4 0 4 3/4 0 4 5/4 0 4 7/4 0 4 9/4 0 4 11/4 0 4 13/4 0 4 15/4 0 4 17/4 0 4 19/4 0 4 21/4 0 4 23/4 0 4 25/4 0 4 27/4 0 4 29/4 0 4 31/4 0 4 33/4 0 4 35/4 0 4 37/4 0 4 39/4 0 4 41/4 0 4 43/4 0 4 45/4 0 4 47/4 0 4 49/4 0 4 -49/5 -29/3 1 16 0.102009 In 0.101796 0.102222 -48/5 -8/1 1 16 0.104130 In 0.103261 0.105000 -47/5 -11/1 1 16 0.106436 In 0.105528 0.107345 -46/5 -28/3 1 16 0.108732 In 0.108491 0.108974 -44/5 -26/3 1 16 0.113597 In 0.113333 0.113861 -43/5 -7/1 1 16 0.116235 In 0.115152 0.117318 -42/5 -10/1 1 16 0.119115 In 0.117978 0.120253 -41/5 -25/3 1 16 0.121998 In 0.121693 0.122302 -39/5 -23/3 1 16 0.128156 In 0.127820 0.128492 -38/5 -6/1 1 16 0.131524 In 0.130137 0.132911 -37/5 -9/1 1 16 0.135224 In 0.133758 0.136691 -36/5 -22/3 1 16 0.138949 In 0.138554 0.139344 -34/5 -20/3 1 16 0.146994 In 0.146552 0.147436 -33/5 -5/1 1 16 0.151445 In 0.149606 0.153285 -32/5 -8/1 1 16 0.156373 In 0.154412 0.158333 -31/5 -19/3 1 16 0.161372 In 0.160839 0.161905 -29/5 -17/3 1 16 0.172325 In 0.171717 0.172932 -28/5 -4/1 1 16 0.178480 In 0.175926 0.181034 -27/5 -7/1 1 16 0.185364 In 0.182609 0.188119 -26/5 -16/3 1 16 0.192424 In 0.191667 0.193182 -24/5 -14/3 1 16 0.208204 In 0.207317 0.209091 -23/5 -3/1 1 16 0.217268 In 0.213483 0.221053 -22/5 -6/1 1 16 0.227556 In 0.223404 0.231707 -21/5 -13/3 1 16 0.238275 In 0.237113 0.239437 -19/5 -11/3 1 16 0.262953 In 0.261538 0.264368 -18/5 -2/1 1 16 0.277606 In 0.271429 0.283784 -17/5 -5/1 1 16 0.294629 In 0.287671 0.301587 -16/5 -10/3 1 16 0.312813 In 0.310811 0.314815 -14/5 -8/3 1 16 0.356771 In 0.354167 0.359375 -13/5 -1/1 1 16 0.384388 In 0.372549 0.396226 -12/5 -4/1 1 16 0.417832 In 0.403846 0.431818 -11/5 -7/3 1 16 0.455220 In 0.450980 0.459459 -9/5 -5/3 1 16 0.554681 In 0.548387 0.560976 -8/5 0/1 1 16 0.625000 In 0.593750 0.656250 -7/5 -3/1 1 16 0.718710 In 0.677419 0.760000 -6/5 -4/3 1 16 0.835714 In 0.821429 0.850000 -4/5 -2/3 1 16 1.246032 In 1.214286 1.277778 -3/5 1/1 1 16 1.685315 In 1.461538 1.909091 -2/5 -2/1 1 16 2.633333 In 2.100000 3.166667 -1/5 -1/3 1 16 5.133333 In 4.600000 5.666667 1/5 1/3 1 16 -5.133333 In -5.666667 -4.600000 2/5 2/1 1 16 -2.633333 In -3.166667 -2.100000 3/5 -1/1 1 16 -1.685315 In -1.909091 -1.461538 4/5 2/3 1 16 -1.246032 In -1.277778 -1.214286 6/5 4/3 1 16 -0.835714 In -0.850000 -0.821429 7/5 3/1 1 16 -0.718710 In -0.760000 -0.677419 8/5 0/1 1 16 -0.625000 In -0.656250 -0.593750 9/5 5/3 1 16 -0.554681 In -0.560976 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In 0.316327 0.320513 -20/7 -8/3 1 16 0.349747 In 0.347222 0.352273 -19/7 -7/3 1 16 0.367906 In 0.362319 0.373494 -18/7 -2/1 1 16 0.388803 In 0.385714 0.391892 -17/7 -3/1 1 16 0.411918 In 0.408451 0.415385 -16/7 -8/3 1 16 0.438492 In 0.430556 0.446429 -15/7 -7/3 1 16 0.467192 In 0.462687 0.471698 -13/7 -5/3 1 16 0.537887 In 0.531915 0.543860 -12/7 -4/3 1 16 0.582168 In 0.568182 0.596154 -11/7 -1/1 1 16 0.636176 In 0.627907 0.644444 -10/7 -2/1 1 16 0.700501 In 0.690476 0.710526 -9/7 -5/3 1 16 0.781275 In 0.756098 0.806452 -8/7 -4/3 1 16 0.876984 In 0.861111 0.892857 -6/7 -2/3 1 16 1.164336 In 1.136364 1.192308 -5/7 -1/3 1 16 1.395990 In 1.315789 1.476190 -4/7 0/1 1 16 1.750000 In 1.687500 1.812500 -3/7 -1/1 1 16 2.342657 In 2.230769 2.454545 -2/7 -2/3 1 16 3.633333 In 3.100000 4.166667 -1/7 -1/3 1 16 7.266667 In 6.200000 8.333333 1/7 1/3 1 16 -7.266667 In -8.333333 -6.200000 2/7 2/3 1 16 -3.633333 In -4.166667 -3.100000 3/7 1/1 1 16 -2.342657 In -2.454545 -2.230769 4/7 0/1 1 16 -1.750000 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