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 5 -50/1 -30/1 1 5 0.018966 In 0.015110 0.022821 -49/1 1/0 3 5 0.020413 In 0.020091 0.020736 -48/1 -30/1 1 5 0.019774 In 0.015984 0.023564 -47/1 -29/1 1 5 0.020188 In 0.016244 0.024133 -46/1 -28/1 3 5 0.017744 In 0.009272 0.026217 -45/1 -27/1 3 5 0.018141 In 0.009358 0.026923 -44/1 -26/1 3 5 0.018557 In 0.009447 0.027668 -43/1 -25/1 1 5 0.022042 In 0.017372 0.026711 -42/1 -24/1 1 5 0.022562 In 0.017680 0.027444 -41/1 1/0 3 5 0.024399 In 0.023938 0.024860 -40/1 -24/1 1 5 0.023707 In 0.018888 0.028526 -39/1 1/0 3 5 0.025651 In 0.025142 0.026161 -38/1 -24/1 1 5 0.024985 In 0.020273 0.029697 -37/1 -23/1 1 5 0.025649 In 0.020693 0.030606 -36/1 -22/1 3 5 0.022673 In 0.011889 0.033457 -35/1 -21/1 3 5 0.023324 In 0.012032 0.034615 -34/1 -20/1 3 5 0.024017 In 0.012179 0.035856 -33/1 -19/1 1 5 0.028718 In 0.022560 0.034875 -32/1 -18/1 1 5 0.029608 In 0.023081 0.036135 -31/1 1/0 3 5 0.032278 In 0.031472 0.033085 -30/1 -18/1 1 5 0.031609 In 0.025184 0.038035 -29/1 1/0 3 5 0.034507 In 0.033586 0.035429 -28/1 -18/1 1 5 0.033927 In 0.027708 0.040145 -27/1 -17/1 1 5 0.035161 In 0.028498 0.041824 -26/1 -16/1 3 5 0.031394 In 0.016566 0.046221 -25/1 -15/1 3 5 0.032653 In 0.016845 0.048461 -24/1 -14/1 3 5 0.034031 In 0.017134 0.050929 -23/1 -13/1 1 5 0.041195 In 0.032165 0.050226 -22/1 -12/1 1 5 0.043058 In 0.033233 0.052883 -21/1 1/0 3 5 0.047684 In 0.045925 0.049443 -20/1 -12/1 1 5 0.047414 In 0.037776 0.057052 -19/1 1/0 3 5 0.052719 In 0.050570 0.054868 -18/1 -12/1 1 5 0.052846 In 0.043756 0.061935 -17/1 -11/1 1 5 0.055891 In 0.045758 0.066024 -16/1 -10/1 3 5 0.051020 In 0.027308 0.074733 -15/1 -9/1 3 5 0.054422 In 0.028075 0.080769 -14/1 -8/1 3 5 0.058376 In 0.028886 0.087865 -13/1 -7/1 1 5 0.072864 In 0.056010 0.089719 -12/1 -6/1 1 5 0.078947 In 0.059333 0.098562 -11/1 1/0 3 5 0.091362 In 0.084929 0.097796 -10/1 -6/1 1 5 0.094828 In 0.075551 0.114104 -9/1 1/0 3 5 0.111940 In 0.102306 0.121575 -8/1 -6/1 1 5 0.119718 In 0.103971 0.135465 -7/1 -5/1 1 5 0.136364 In 0.116036 0.156692 -6/1 -4/1 3 5 0.136364 In 0.077682 0.195045 -5/1 -3/1 3 5 0.163265 In 0.084225 0.242306 -4/1 -2/1 3 5 0.205882 In 0.091971 0.319794 -3/1 -1/1 1 5 0.318182 In 0.216542 0.419821 -2/1 0/1 1 5 0.500000 In 0.276393 0.723607 -1/1 1/0 3 5 2.500000 In 0.563508 4.436492 0/1 0/1 1 5 1/1 1/0 3 5 -2.500000 In -4.436492 -0.563508 2/1 0/1 1 5 -0.500000 In -0.723607 -0.276393 3/1 1/1 1 5 -0.318182 In -0.419821 -0.216542 4/1 2/1 3 5 -0.205882 In -0.319794 -0.091971 5/1 3/1 3 5 -0.163265 In -0.242306 -0.084225 6/1 4/1 3 5 -0.136364 In -0.195045 -0.077682 7/1 5/1 1 5 -0.136364 In -0.156692 -0.116036 8/1 6/1 1 5 -0.119718 In -0.135465 -0.103971 9/1 1/0 3 5 -0.111940 In -0.121575 -0.102306 10/1 6/1 1 5 -0.094828 In -0.114104 -0.075551 11/1 1/0 3 5 -0.091362 In -0.097796 -0.084929 12/1 6/1 1 5 -0.078947 In -0.098562 -0.059333 13/1 7/1 1 5 -0.072864 In -0.089719 -0.056010 14/1 8/1 3 5 -0.058376 In -0.087865 -0.028886 15/1 9/1 3 5 -0.054422 In -0.080769 -0.028075 16/1 10/1 3 5 -0.051020 In -0.074733 -0.027308 17/1 11/1 1 5 -0.055891 In -0.066024 -0.045758 18/1 12/1 1 5 -0.052846 In -0.061935 -0.043756 19/1 1/0 3 5 -0.052719 In -0.054868 -0.050570 20/1 12/1 1 5 -0.047414 In -0.057052 -0.037776 21/1 1/0 3 5 -0.047684 In -0.049443 -0.045925 22/1 12/1 1 5 -0.043058 In -0.052883 -0.033233 23/1 13/1 1 5 -0.041195 In -0.050226 -0.032165 24/1 14/1 3 5 -0.034031 In -0.050929 -0.017134 25/1 15/1 3 5 -0.032653 In -0.048461 -0.016845 26/1 16/1 3 5 -0.031394 In -0.046221 -0.016566 27/1 17/1 1 5 -0.035161 In -0.041824 -0.028498 28/1 18/1 1 5 -0.033927 In -0.040145 -0.027708 29/1 1/0 3 5 -0.034507 In -0.035429 -0.033586 30/1 18/1 1 5 -0.031609 In -0.038035 -0.025184 31/1 1/0 3 5 -0.032278 In -0.033085 -0.031472 32/1 18/1 1 5 -0.029608 In -0.036135 -0.023081 33/1 19/1 1 5 -0.028718 In -0.034875 -0.022560 34/1 20/1 3 5 -0.024017 In -0.035856 -0.012179 35/1 21/1 3 5 -0.023324 In -0.034615 -0.012032 36/1 22/1 3 5 -0.022673 In -0.033457 -0.011889 37/1 23/1 1 5 -0.025649 In -0.030606 -0.020693 38/1 24/1 1 5 -0.024985 In -0.029697 -0.020273 39/1 1/0 3 5 -0.025651 In -0.026161 -0.025142 40/1 24/1 1 5 -0.023707 In -0.028526 -0.018888 41/1 1/0 3 5 -0.024399 In -0.024860 -0.023938 42/1 24/1 1 5 -0.022562 In -0.027444 -0.017680 43/1 25/1 1 5 -0.022042 In -0.026711 -0.017372 44/1 26/1 3 5 -0.018557 In -0.027668 -0.009447 45/1 27/1 3 5 -0.018141 In -0.026923 -0.009358 46/1 28/1 3 5 -0.017744 In -0.026217 -0.009272 47/1 29/1 1 5 -0.020188 In -0.024133 -0.016244 48/1 30/1 1 5 -0.019774 In -0.023564 -0.015984 49/1 1/0 3 5 -0.020413 In -0.020736 -0.020091 50/1 30/1 1 5 -0.018966 In -0.022821 -0.015110 -49/2 -29/2 1 5 0.038696 In 0.030684 0.046708 -47/2 -13/1 1 5 0.042019 In 0.037702 0.046337 -45/2 -13/1 1 5 0.043893 In 0.039626 0.048160 -43/2 -11/1 1 5 0.045923 In 0.040776 0.051069 -41/2 1/0 1 5 0.048786 In 0.048254 0.049318 -39/2 1/0 1 5 0.051289 In 0.050701 0.051877 -37/2 -13/1 1 5 0.053475 In 0.049791 0.057159 -35/2 -11/1 1 5 0.056462 In 0.051621 0.061304 -33/2 -11/1 1 5 0.059917 In 0.055297 0.064537 -31/2 -19/2 1 5 0.061206 In 0.049130 0.073282 -29/2 -17/2 1 5 0.065373 In 0.051669 0.079077 -27/2 -7/1 1 5 0.073137 In 0.065053 0.081220 -25/2 -7/1 1 5 0.078999 In 0.071002 0.086995 -23/2 -5/1 1 5 0.085878 In 0.074783 0.096973 -21/2 1/0 1 5 0.095281 In 0.093252 0.097310 -19/2 1/0 1 5 0.105322 In 0.102842 0.107801 -17/2 -7/1 1 5 0.116762 In 0.111957 0.121567 -15/2 -5/1 1 5 0.131818 In 0.121654 0.141982 -13/2 -5/1 1 5 0.152439 In 0.144258 0.160620 -11/2 -7/2 1 5 0.172662 In 0.140488 0.204836 -9/2 -5/2 1 5 0.210526 In 0.163451 0.257601 -7/2 -1/1 1 5 0.282787 In 0.236966 0.328608 -5/2 -1/1 1 5 0.395161 In 0.341063 0.449260 -3/2 1/1 1 5 0.704545 In 0.450447 0.958644 -1/2 1/0 1 5 2.500000 In 1.381966 3.618034 1/2 1/0 1 5 -2.500000 In -3.618034 -1.381966 3/2 -1/1 1 5 -0.704545 In -0.958644 -0.450447 5/2 1/1 1 5 -0.395161 In -0.449260 -0.341063 7/2 1/1 1 5 -0.282787 In -0.328608 -0.236966 9/2 5/2 1 5 -0.210526 In -0.257601 -0.163451 11/2 7/2 1 5 -0.172662 In -0.204836 -0.140488 13/2 5/1 1 5 -0.152439 In -0.160620 -0.144258 15/2 5/1 1 5 -0.131818 In -0.141982 -0.121654 17/2 7/1 1 5 -0.116762 In -0.121567 -0.111957 19/2 1/0 1 5 -0.105322 In -0.107801 -0.102842 21/2 1/0 1 5 -0.095281 In -0.097310 -0.093252 23/2 5/1 1 5 -0.085878 In -0.096973 -0.074783 25/2 7/1 1 5 -0.078999 In -0.086995 -0.071002 27/2 7/1 1 5 -0.073137 In -0.081220 -0.065053 29/2 17/2 1 5 -0.065373 In -0.079077 -0.051669 31/2 19/2 1 5 -0.061206 In -0.073282 -0.049130 33/2 11/1 1 5 -0.059917 In -0.064537 -0.055297 35/2 11/1 1 5 -0.056462 In -0.061304 -0.051621 37/2 13/1 1 5 -0.053475 In -0.057159 -0.049791 39/2 1/0 1 5 -0.051289 In -0.051877 -0.050701 41/2 1/0 1 5 -0.048786 In -0.049318 -0.048254 43/2 11/1 1 5 -0.045923 In -0.051069 -0.040776 45/2 13/1 1 5 -0.043893 In -0.048160 -0.039626 47/2 13/1 1 5 -0.042019 In -0.046337 -0.037702 49/2 29/2 1 5 -0.038696 In -0.046708 -0.030684 -50/3 -10/1 3 5 0.059016 In 0.052667 0.065366 -49/3 -11/1 1 5 0.060922 In 0.057912 0.063933 -47/3 -19/2 1 5 0.062430 In 0.054686 0.070174 -46/3 -28/3 1 5 0.061862 In 0.049536 0.074188 -44/3 -26/3 1 5 0.064638 In 0.051227 0.078048 -43/3 -17/2 1 5 0.068222 In 0.059484 0.076961 -41/3 -7/1 1 5 0.072762 In 0.067410 0.078114 -40/3 -8/1 3 5 0.073770 In 0.065834 0.081707 -38/3 -6/1 1 5 0.078508 In 0.072283 0.084733 -37/3 1/0 1 5 0.081093 In 0.080113 0.082073 -35/3 1/0 1 5 0.085728 In 0.084633 0.086824 -34/3 -4/1 1 5 0.087786 In 0.079252 0.096321 -32/3 -8/1 1 5 0.093354 In 0.089816 0.096893 -31/3 -7/1 1 5 0.096299 In 0.091598 0.101001 -29/3 -5/1 1 5 0.102871 In 0.095382 0.110360 -28/3 -4/1 1 5 0.106557 In 0.097393 0.115722 -26/3 -8/1 1 5 0.115199 In 0.113850 0.116548 -25/3 1/0 1 5 0.120038 In 0.117891 0.122186 -23/3 1/0 1 5 0.130484 In 0.127947 0.133021 -22/3 -6/1 1 5 0.135906 In 0.132154 0.139658 -20/3 -4/1 3 5 0.147541 In 0.131668 0.163414 -19/3 -5/1 1 5 0.157303 In 0.152278 0.162328 -17/3 -7/2 1 5 0.172636 In 0.151813 0.193459 -16/3 -10/3 1 5 0.177966 In 0.143857 0.212076 -14/3 -8/3 1 5 0.203057 In 0.159117 0.246997 -13/3 -5/2 1 5 0.225610 In 0.195614 0.255606 -11/3 -1/1 1 5 0.271523 In 0.241906 0.301140 -10/3 -2/1 3 5 0.295082 In 0.263336 0.326828 -8/3 0/1 1 5 0.375000 In 0.319098 0.430902 -7/3 1/0 1 5 0.430328 In 0.402835 0.457821 -5/3 1/0 1 5 0.604839 In 0.550740 0.658937 -4/3 2/1 1 5 0.815789 In 0.521570 1.110009 -2/3 -2/1 1 5 1.750000 In 1.190983 2.309017 -1/3 -1/1 1 5 3.500000 In 2.381966 4.618034 1/3 1/1 1 5 -3.500000 In -4.618034 -2.381966 2/3 2/1 1 5 -1.750000 In -2.309017 -1.190983 4/3 -2/1 1 5 -0.815789 In -1.110009 -0.521570 5/3 1/0 1 5 -0.604839 In -0.658937 -0.550740 7/3 1/0 1 5 -0.430328 In -0.457821 -0.402835 8/3 0/1 1 5 -0.375000 In -0.430902 -0.319098 10/3 2/1 3 5 -0.295082 In -0.326828 -0.263336 11/3 1/1 1 5 -0.271523 In -0.301140 -0.241906 13/3 5/2 1 5 -0.225610 In -0.255606 -0.195614 14/3 8/3 1 5 -0.203057 In -0.246997 -0.159117 16/3 10/3 1 5 -0.177966 In -0.212076 -0.143857 17/3 7/2 1 5 -0.172636 In -0.193459 -0.151813 19/3 5/1 1 5 -0.157303 In -0.162328 -0.152278 20/3 4/1 3 5 -0.147541 In -0.163414 -0.131668 22/3 6/1 1 5 -0.135906 In -0.139658 -0.132154 23/3 1/0 1 5 -0.130484 In -0.133021 -0.127947 25/3 1/0 1 5 -0.120038 In -0.122186 -0.117891 26/3 8/1 1 5 -0.115199 In -0.116548 -0.113850 28/3 4/1 1 5 -0.106557 In -0.115722 -0.097393 29/3 5/1 1 5 -0.102871 In -0.110360 -0.095382 31/3 7/1 1 5 -0.096299 In -0.101001 -0.091598 32/3 8/1 1 5 -0.093354 In -0.096893 -0.089816 34/3 4/1 1 5 -0.087786 In -0.096321 -0.079252 35/3 1/0 1 5 -0.085728 In -0.086824 -0.084633 37/3 1/0 1 5 -0.081093 In -0.082073 -0.080113 38/3 6/1 1 5 -0.078508 In -0.084733 -0.072283 40/3 8/1 3 5 -0.073770 In -0.081707 -0.065834 41/3 7/1 1 5 -0.072762 In -0.078114 -0.067410 43/3 17/2 1 5 -0.068222 In -0.076961 -0.059484 44/3 26/3 1 5 -0.064638 In -0.078048 -0.051227 46/3 28/3 1 5 -0.061862 In -0.074188 -0.049536 47/3 19/2 1 5 -0.062430 In -0.070174 -0.054686 49/3 11/1 1 5 -0.060922 In -0.063933 -0.057912 50/3 10/1 3 5 -0.059016 In -0.065366 -0.052667 -49/4 -7/1 3 5 0.080874 In 0.074015 0.087733 -47/4 1/0 1 5 0.085114 In 0.084304 0.085924 -45/4 1/0 3 5 0.088915 In 0.087385 0.090446 -43/4 1/0 1 5 0.093033 In 0.092066 0.094001 -41/4 -7/1 3 5 0.096755 In 0.090658 0.102852 -39/4 -5/1 3 5 0.101594 In 0.091821 0.111366 -37/4 1/0 1 5 0.108124 In 0.106817 0.109431 -35/4 1/0 3 5 0.114342 In 0.111811 0.116872 -33/4 1/0 1 5 0.121234 In 0.119591 0.122877 -31/4 -5/1 3 5 0.127907 In 0.118900 0.136914 -29/4 -5/1 3 5 0.136804 In 0.128364 0.145244 -27/4 -9/2 1 5 0.146465 In 0.135171 0.157758 -25/4 -9/2 3 5 0.154754 In 0.135940 0.173568 -23/4 -7/2 1 5 0.171803 In 0.156298 0.187307 -21/4 -3/1 3 5 0.188705 In 0.172701 0.204709 -19/4 -3/1 3 5 0.208661 In 0.193413 0.223909 -17/4 -5/2 1 5 0.232394 In 0.210349 0.254440 -15/4 -3/2 3 5 0.256831 In 0.193339 0.320322 -13/4 -3/2 1 5 0.303828 In 0.266382 0.341274 -11/4 -1/1 3 5 0.360465 In 0.315430 0.405500 -9/4 -1/1 3 5 0.440299 In 0.392127 0.488470 -7/4 1/0 1 5 0.573770 In 0.537114 0.610427 -5/4 1/0 3 5 0.819672 In 0.692689 0.946655 -3/4 1/0 1 5 1.363636 In 1.160357 1.566915 -1/4 -1/1 3 5 8.500000 In 2.690525 14.309475 1/4 1/1 3 5 -8.500000 In -14.309475 -2.690525 3/4 1/0 1 5 -1.363636 In -1.566915 -1.160357 5/4 1/0 3 5 -0.819672 In -0.946655 -0.692689 7/4 1/0 1 5 -0.573770 In -0.610427 -0.537114 9/4 1/1 3 5 -0.440299 In -0.488470 -0.392127 11/4 1/1 3 5 -0.360465 In -0.405500 -0.315430 13/4 3/2 1 5 -0.303828 In -0.341274 -0.266382 15/4 3/2 3 5 -0.256831 In -0.320322 -0.193339 17/4 5/2 1 5 -0.232394 In -0.254440 -0.210349 19/4 3/1 3 5 -0.208661 In -0.223909 -0.193413 21/4 3/1 3 5 -0.188705 In -0.204709 -0.172701 23/4 7/2 1 5 -0.171803 In -0.187307 -0.156298 25/4 9/2 3 5 -0.154754 In -0.173568 -0.135940 27/4 9/2 1 5 -0.146465 In -0.157758 -0.135171 29/4 5/1 3 5 -0.136804 In -0.145244 -0.128364 31/4 5/1 3 5 -0.127907 In -0.136914 -0.118900 33/4 1/0 1 5 -0.121234 In -0.122877 -0.119591 35/4 1/0 3 5 -0.114342 In 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