SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 3 1 -50/1 0 22 -49/1 -147/1 1 22 0.029827 In 0.015101 0.044554 -48/1 0 22 -47/1 -141/1 1 22 0.031097 In 0.015743 0.046450 -46/1 0 22 -45/1 -135/1 1 22 0.032479 In 0.016443 0.048514 -44/1 0 22 -43/1 -129/1 1 22 0.033989 In 0.017208 0.050771 -42/1 0 22 -41/1 -123/1 1 22 0.035647 In 0.018047 0.053247 -40/1 0 22 -39/1 -117/1 1 22 0.037475 In 0.018973 0.055978 -38/1 0 22 -37/1 -111/1 1 22 0.039501 In 0.019998 0.059004 -36/1 0 22 -35/1 -105/1 1 22 0.041758 In 0.021141 0.062375 -34/1 0 22 -33/1 -99/1 1 22 0.044289 In 0.022422 0.066156 -32/1 0 22 -31/1 -93/1 1 22 0.047146 In 0.023869 0.070424 -30/1 0 22 -29/1 -87/1 1 22 0.050398 In 0.025515 0.075281 -28/1 0 22 -27/1 -81/1 1 22 0.054131 In 0.027405 0.080857 -26/1 0 22 -25/1 -75/1 1 22 0.058462 In 0.029597 0.087326 -24/1 0 22 -23/1 -69/1 1 22 0.063545 In 0.032171 0.094919 -22/1 0 22 -21/1 -63/1 1 22 0.069597 In 0.035235 0.103959 -20/1 0 22 -19/1 -57/1 1 22 0.076923 In 0.038944 0.114902 -18/1 0 22 -17/1 -51/1 1 22 0.085973 In 0.043526 0.128420 -16/1 0 22 -15/1 -45/1 1 22 0.097436 In 0.049329 0.145543 -14/1 0 22 -13/1 -39/1 1 22 0.112426 In 0.056918 0.167934 -12/1 0 22 -11/1 -33/1 1 22 0.132867 In 0.067267 0.198467 -10/1 0 22 -9/1 -27/1 1 22 0.162393 In 0.082215 0.242571 -8/1 0 22 -7/1 -21/1 1 22 0.208791 In 0.105705 0.311877 -6/1 0 22 -5/1 -15/1 1 22 0.292308 In 0.147987 0.436628 -4/1 0 22 -3/1 -9/1 1 22 0.487179 In 0.246645 0.727714 -2/1 0 22 -1/1 -3/1 1 22 1.461538 In 0.739936 2.183141 0/1 0 22 1/1 3/1 1 22 -1.461538 In -2.183141 -0.739936 2/1 0 22 3/1 9/1 1 22 -0.487179 In -0.727714 -0.246645 4/1 0 22 5/1 15/1 1 22 -0.292308 In -0.436628 -0.147987 6/1 0 22 7/1 21/1 1 22 -0.208791 In -0.311877 -0.105705 8/1 0 22 9/1 27/1 1 22 -0.162393 In -0.242571 -0.082215 10/1 0 22 11/1 33/1 1 22 -0.132867 In -0.198467 -0.067267 12/1 0 22 13/1 39/1 1 22 -0.112426 In -0.167934 -0.056918 14/1 0 22 15/1 45/1 1 22 -0.097436 In -0.145543 -0.049329 16/1 0 22 17/1 51/1 1 22 -0.085973 In -0.128420 -0.043526 18/1 0 22 19/1 57/1 1 22 -0.076923 In -0.114902 -0.038944 20/1 0 22 21/1 63/1 1 22 -0.069597 In -0.103959 -0.035235 22/1 0 22 23/1 69/1 1 22 -0.063545 In -0.094919 -0.032171 24/1 0 22 25/1 75/1 1 22 -0.058462 In -0.087326 -0.029597 26/1 0 22 27/1 81/1 1 22 -0.054131 In -0.080857 -0.027405 28/1 0 22 29/1 87/1 1 22 -0.050398 In -0.075281 -0.025515 30/1 0 22 31/1 93/1 1 22 -0.047146 In -0.070424 -0.023869 32/1 0 22 33/1 99/1 1 22 -0.044289 In -0.066156 -0.022422 34/1 0 22 35/1 105/1 1 22 -0.041758 In -0.062375 -0.021141 36/1 0 22 37/1 111/1 1 22 -0.039501 In -0.059004 -0.019998 38/1 0 22 39/1 117/1 1 22 -0.037475 In -0.055978 -0.018973 40/1 0 22 41/1 123/1 1 22 -0.035647 In -0.053247 -0.018047 42/1 0 22 43/1 129/1 1 22 -0.033989 In -0.050771 -0.017208 44/1 0 22 45/1 135/1 1 22 -0.032479 In -0.048514 -0.016443 46/1 0 22 47/1 141/1 1 22 -0.031097 In -0.046450 -0.015743 48/1 0 22 49/1 147/1 1 22 -0.029827 In -0.044554 -0.015101 50/1 0 22 -49/2 0 11 -47/2 0 11 -45/2 0 11 -43/2 0 11 -41/2 0 11 -39/2 0 11 -37/2 0 11 -35/2 0 11 -33/2 0 11 -31/2 0 11 -29/2 0 11 -27/2 0 11 -25/2 0 11 -23/2 0 11 -21/2 0 11 -19/2 0 11 -17/2 0 11 -15/2 0 11 -13/2 0 11 -11/2 0 11 -9/2 0 11 -7/2 0 11 -5/2 0 11 -3/2 0 11 -1/2 0 11 1/2 0 11 3/2 0 11 5/2 0 11 7/2 0 11 9/2 0 11 11/2 0 11 13/2 0 11 15/2 0 11 17/2 0 11 19/2 0 11 21/2 0 11 23/2 0 11 25/2 0 11 27/2 0 11 29/2 0 11 31/2 0 11 33/2 0 11 35/2 0 11 37/2 0 11 39/2 0 11 41/2 0 11 43/2 0 11 45/2 0 11 47/2 0 11 49/2 0 11 -50/3 0 22 -49/3 -49/1 1 22 0.063168 In 0.054052 0.072285 -47/3 -47/1 1 22 0.065856 In 0.056352 0.075361 -46/3 0 22 -44/3 0 22 -43/3 -43/1 1 22 0.071982 In 0.061594 0.082371 -41/3 -41/1 1 22 0.075494 In 0.064598 0.086389 -40/3 0 22 -38/3 0 22 -37/3 -37/1 1 22 0.083655 In 0.071582 0.095728 -35/3 -35/1 1 22 0.088435 In 0.075672 0.101198 -34/3 0 22 -32/3 0 22 -31/3 -31/1 1 22 0.099846 In 0.085437 0.114256 -29/3 -29/1 1 22 0.106732 In 0.091329 0.122136 -28/3 0 22 -26/3 0 22 -25/3 -25/1 1 22 0.123810 In 0.105941 0.141678 -23/3 -23/1 1 22 0.134576 In 0.115154 0.153998 -22/3 0 22 -20/3 0 22 -19/3 -19/1 1 22 0.162907 In 0.139396 0.186418 -17/3 -17/1 1 22 0.182073 In 0.155796 0.208350 -16/3 0 22 -14/3 0 22 -13/3 -13/1 1 22 0.238095 In 0.203733 0.272457 -11/3 -11/1 1 22 0.281385 In 0.240776 0.321995 -10/3 0 22 -8/3 0 22 -7/3 -7/1 1 22 0.442177 In 0.378362 0.505992 -5/3 -5/1 1 22 0.619048 In 0.529706 0.708389 -4/3 0 22 -2/3 0 22 -1/3 -1/1 1 22 3.095238 In 2.648532 3.541944 1/3 1/1 1 22 -3.095238 In -3.541944 -2.648532 2/3 0 22 4/3 0 22 5/3 5/1 1 22 -0.619048 In -0.708389 -0.529706 7/3 7/1 1 22 -0.442177 In -0.505992 -0.378362 8/3 0 22 10/3 0 22 11/3 11/1 1 22 -0.281385 In -0.321995 -0.240776 13/3 13/1 1 22 -0.238095 In -0.272457 -0.203733 14/3 0 22 16/3 0 22 17/3 17/1 1 22 -0.182073 In -0.208350 -0.155796 19/3 19/1 1 22 -0.162907 In -0.186418 -0.139396 20/3 0 22 22/3 0 22 23/3 23/1 1 22 -0.134576 In -0.153998 -0.115154 25/3 25/1 1 22 -0.123810 In -0.141678 -0.105941 26/3 0 22 28/3 0 22 29/3 29/1 1 22 -0.106732 In -0.122136 -0.091329 31/3 31/1 1 22 -0.099846 In -0.114256 -0.085437 32/3 0 22 34/3 0 22 35/3 35/1 1 22 -0.088435 In -0.101198 -0.075672 37/3 37/1 1 22 -0.083655 In -0.095728 -0.071582 38/3 0 22 40/3 0 22 41/3 41/1 1 22 -0.075494 In -0.086389 -0.064598 43/3 43/1 1 22 -0.071982 In -0.082371 -0.061594 44/3 0 22 46/3 0 22 47/3 47/1 1 22 -0.065856 In -0.075361 -0.056352 49/3 49/1 1 22 -0.063168 In -0.072285 -0.054052 50/3 0 22 -49/4 0 11 -47/4 0 11 -45/4 0 11 -43/4 0 11 -41/4 0 11 -39/4 0 11 -37/4 0 11 -35/4 0 11 -33/4 0 11 -31/4 0 11 -29/4 0 11 -27/4 0 11 -25/4 0 11 -23/4 0 11 -21/4 0 11 -19/4 0 11 -17/4 0 11 -15/4 0 11 -13/4 0 11 -11/4 0 11 -9/4 0 11 -7/4 0 11 -5/4 0 11 -3/4 0 11 -1/4 0 11 1/4 0 11 3/4 0 11 5/4 0 11 7/4 0 11 9/4 0 11 11/4 0 11 13/4 0 11 15/4 0 11 17/4 0 11 19/4 0 11 21/4 0 11 23/4 0 11 25/4 0 11 27/4 0 11 29/4 0 11 31/4 0 11 33/4 0 11 35/4 0 11 37/4 0 11 39/4 0 11 41/4 0 11 43/4 0 11 45/4 0 11 47/4 0 11 49/4 0 11 -49/5 -31/1 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0.682392 0.752594 -6/5 0 22 -4/5 0 22 -3/5 -3/1 1 22 1.730159 In 1.432355 2.027963 -2/5 0 22 -1/5 1/1 1 22 5.285714 In 3.945595 6.625833 1/5 -1/1 1 22 -5.285714 In -6.625833 -3.945595 2/5 0 22 3/5 3/1 1 22 -1.730159 In -2.027963 -1.432355 4/5 0 22 6/5 0 22 7/5 3/1 1 22 -0.717493 In -0.752594 -0.682392 8/5 0 22 9/5 7/1 1 22 -0.567224 In -0.637594 -0.496855 11/5 5/1 1 22 -0.456959 In -0.481860 -0.432057 12/5 0 22 13/5 9/1 1 22 -0.390707 In -0.431975 -0.349438 14/5 0 22 16/5 0 22 17/5 9/1 1 22 -0.296479 In -0.317402 -0.275557 18/5 0 22 19/5 13/1 1 22 -0.267207 In -0.294965 -0.239449 21/5 11/1 1 22 -0.239954 In -0.256599 -0.223309 22/5 0 22 23/5 15/1 1 22 -0.220363 In -0.241733 -0.198992 24/5 0 22 26/5 0 22 27/5 15/1 1 22 -0.186872 In -0.201109 -0.172634 28/5 0 22 29/5 19/1 1 22 -0.174797 In -0.191862 -0.157733 31/5 17/1 1 22 -0.162710 In -0.174856 -0.150564 32/5 0 22 33/5 21/1 1 22 -0.153463 In -0.167824 -0.139103 34/5 0 22 36/5 0 22 37/5 21/1 1 22 -0.136436 In -0.147183 -0.125688 38/5 0 22 39/5 25/1 1 22 -0.129884 In -0.142168 -0.117600 41/5 23/1 1 22 -0.123090 In -0.132612 -0.113568 42/5 0 22 43/5 27/1 1 22 -0.117725 In -0.128527 -0.106923 44/5 0 22 46/5 0 22 47/5 27/1 1 22 -0.107439 In -0.116062 -0.098816 48/5 0 22 49/5 31/1 1 22 -0.103334 In -0.112921 -0.093747 -49/6 0 11 -47/6 0 11 -43/6 0 11 -41/6 0 11 -37/6 0 11 -35/6 0 11 -31/6 0 11 -29/6 0 11 -25/6 0 11 -23/6 0 11 -19/6 0 11 -17/6 0 11 -13/6 0 11 -11/6 0 11 -7/6 0 11 -5/6 0 11 -1/6 0 11 1/6 0 11 5/6 0 11 7/6 0 11 11/6 0 11 13/6 0 11 17/6 0 11 19/6 0 11 23/6 0 11 25/6 0 11 29/6 0 11 31/6 0 11 35/6 0 11 37/6 0 11 41/6 0 11 43/6 0 11 47/6 0 11 49/6 0 11 -50/7 0 22 -48/7 0 22 -47/7 -19/1 1 22 0.149657 In 0.141295 0.158019 -46/7 0 22 -45/7 -59/3 1 22 0.164431 In 0.132681 0.196180 -44/7 0 22 -43/7 -15/1 1 22 0.163325 In 0.156137 0.170514 -41/7 -21/1 1 22 0.172218 In 0.158611 0.185824 -40/7 0 22 -39/7 -49/3 1 22 0.188629 In 0.154501 0.222756 -38/7 0 22 -37/7 -17/1 1 22 0.190452 In 0.177558 0.203346 -36/7 0 22 -34/7 0 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47/7 19/1 1 22 -0.149657 In -0.158019 -0.141295 48/7 0 22 50/7 0 22 -49/8 0 11 -47/8 0 11 -45/8 0 11 -43/8 0 11 -41/8 0 11 -39/8 0 11 -37/8 0 11 -35/8 0 11 -33/8 0 11 -31/8 0 11 -29/8 0 11 -27/8 0 11 -25/8 0 11 -23/8 0 11 -21/8 0 11 -19/8 0 11 -17/8 0 11 -15/8 0 11 -13/8 0 11 -11/8 0 11 -9/8 0 11 -7/8 0 11 -5/8 0 11 -3/8 0 11 -1/8 0 11 1/8 0 11 3/8 0 11 5/8 0 11 7/8 0 11 9/8 0 11 11/8 0 11 13/8 0 11 15/8 0 11 17/8 0 11 19/8 0 11 21/8 0 11 23/8 0 11 25/8 0 11 27/8 0 11 29/8 0 11 31/8 0 11 33/8 0 11 35/8 0 11 37/8 0 11 39/8 0 11 41/8 0 11 43/8 0 11 45/8 0 11 47/8 0 11 49/8 0 11 -50/9 0 22 -49/9 -17/1 1 22 0.184360 In 0.175075 0.193646 -47/9 -19/1 1 22 0.192529 In 0.180471 0.204586 -46/9 0 22 -44/9 0 22 -43/9 -11/1 1 22 0.209656 In 0.203179 0.216132 -41/9 -13/1 1 22 0.220167 In 0.210483 0.229850 -40/9 0 22 -38/9 0 22 -37/9 -11/1 1 22 0.243858 In 0.234163 0.253552 -35/9 -13/1 1 22 0.258280 In 0.243919 0.272642 -34/9 0 22 -32/9 0 22 -31/9 -11/1 1 22 0.291470 In 0.276298 0.306643 -29/9 -13/1 1 22 0.312497 In 0.289982 0.335011 -28/9 0 22 -26/9 0 22 -25/9 -5/1 1 22 0.360291 In 0.353457 0.367126 -23/9 -7/1 1 22 0.392355 In 0.376166 0.408544 -22/9 0 22 -20/9 0 22 -19/9 -5/1 1 22 0.474548 In 0.459145 0.489952 -17/9 -7/1 1 22 0.532414 In 0.498215 0.566613 -16/9 0 22 -14/9 0 22 -13/9 -5/1 1 22 0.695640 In 0.654998 0.736283 -11/9 -7/1 1 22 0.830846 In 0.737504 0.924187 -10/9 0 22 -8/9 0 22 -7/9 1/1 1 22 1.287837 In 1.218155 1.357518 -5/9 -1/1 1 22 1.801457 In 1.767283 1.835631 -4/9 0 22 -2/9 0 22 -1/9 1/1 1 22 9.476190 In 7.242659 11.709722 1/9 -1/1 1 22 -9.476190 In -11.709722 -7.242659 2/9 0 22 4/9 0 22 5/9 1/1 1 22 -1.801457 In -1.835631 -1.767283 7/9 -1/1 1 22 -1.287837 In -1.357518 -1.218155 8/9 0 22 10/9 0 22 11/9 7/1 1 22 -0.830846 In -0.924187 -0.737504 13/9 5/1 1 22 -0.695640 In -0.736283 -0.654998 14/9 0 22 16/9 0 22 17/9 7/1 1 22 -0.532414 In -0.566613 -0.498215 19/9 5/1 1 22 -0.474548 In -0.489952 -0.459145 20/9 0 22 22/9 0 22 23/9 7/1 1 22 -0.392355 In -0.408544 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