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 15 0.020000 In 0.014836 0.025164 -49/1 1/0 1 15 0.020409 In 0.020301 0.020516 -48/1 0/1 1 15 0.020833 In 0.015454 0.026212 -47/1 1/0 1 15 0.021277 In 0.021160 0.021394 -46/1 0/1 1 15 0.021739 In 0.016126 0.027352 -45/1 1/0 1 15 0.022223 In 0.022095 0.022350 -44/1 0/1 1 15 0.022727 In 0.016859 0.028595 -43/1 1/0 1 15 0.023257 In 0.023117 0.023396 -42/1 0/1 1 15 0.023810 In 0.017662 0.029957 -41/1 1/0 1 15 0.024391 In 0.024238 0.024545 -40/1 0/1 1 15 0.025000 In 0.018545 0.031455 -39/1 1/0 1 15 0.025642 In 0.025472 0.025812 -38/1 0/1 1 15 0.026316 In 0.019521 0.033110 -37/1 1/0 1 15 0.027028 In 0.026840 0.027217 -36/1 0/1 1 15 0.027778 In 0.020606 0.034950 -35/1 1/0 1 15 0.028573 In 0.028362 0.028784 -34/1 0/1 1 15 0.029412 In 0.021818 0.037006 -33/1 1/0 1 15 0.030305 In 0.030068 0.030542 -32/1 0/1 1 15 0.031250 In 0.023181 0.039319 -31/1 1/0 1 15 0.032260 In 0.031992 0.032529 -30/1 0/1 1 15 0.033333 In 0.024727 0.041940 -29/1 1/0 1 15 0.034485 In 0.034178 0.034793 -28/1 0/1 1 15 0.035714 In 0.026493 0.044936 -27/1 1/0 1 15 0.037040 In 0.036686 0.037395 -26/1 0/1 1 15 0.038462 In 0.028531 0.048392 -25/1 1/0 1 15 0.040004 In 0.039591 0.040417 -24/1 0/1 1 15 0.041667 In 0.030908 0.052425 -23/1 1/0 1 15 0.043484 In 0.042996 0.043972 -22/1 0/1 1 15 0.045455 In 0.033718 0.057191 -21/1 1/0 1 15 0.047626 In 0.047041 0.048212 -20/1 0/1 1 15 0.050000 In 0.037090 0.062910 -19/1 1/0 1 15 0.052641 In 0.051926 0.053357 -18/1 0/1 1 15 0.055556 In 0.041211 0.069900 -17/1 1/0 1 15 0.058837 In 0.057943 0.059731 -16/1 0/1 1 15 0.062500 In 0.046363 0.078637 -15/1 1/0 1 15 0.066686 In 0.065539 0.067834 -14/1 0/1 1 15 0.071429 In 0.052986 0.089871 -13/1 1/0 1 15 0.076953 In 0.075425 0.078482 -12/1 0/1 1 15 0.083333 In 0.061817 0.104850 -11/1 1/0 1 15 0.090959 In 0.088824 0.093094 -10/1 0/1 1 15 0.100000 In 0.074180 0.125820 -9/1 1/0 1 15 0.111203 In 0.108012 0.114393 -8/1 0/1 1 15 0.125000 In 0.092725 0.157275 -7/1 1/0 1 15 0.143052 In 0.137775 0.148328 -6/1 0/1 1 15 0.166667 In 0.123634 0.209700 -5/1 1/0 1 15 0.200535 In 0.190179 0.210890 -4/1 0/1 1 15 0.250000 In 0.185450 0.314550 -3/1 1/0 1 15 0.335821 In 0.306918 0.364724 -2/1 0/1 1 15 0.500000 In 0.370901 0.629099 -1/1 1/0 1 15 1.071429 In 0.794787 1.348070 0/1 0/1 1 15 1/1 1/0 1 15 -1.071429 In -1.348070 -0.794787 2/1 0/1 1 15 -0.500000 In -0.629099 -0.370901 3/1 1/0 1 15 -0.335821 In -0.364724 -0.306918 4/1 0/1 1 15 -0.250000 In -0.314550 -0.185450 5/1 1/0 1 15 -0.200535 In -0.210890 -0.190179 6/1 0/1 1 15 -0.166667 In -0.209700 -0.123634 7/1 1/0 1 15 -0.143052 In -0.148328 -0.137775 8/1 0/1 1 15 -0.125000 In -0.157275 -0.092725 9/1 1/0 1 15 -0.111203 In -0.114393 -0.108012 10/1 0/1 1 15 -0.100000 In -0.125820 -0.074180 11/1 1/0 1 15 -0.090959 In -0.093094 -0.088824 12/1 0/1 1 15 -0.083333 In -0.104850 -0.061817 13/1 1/0 1 15 -0.076953 In -0.078482 -0.075425 14/1 0/1 1 15 -0.071429 In -0.089871 -0.052986 15/1 1/0 1 15 -0.066686 In -0.067834 -0.065539 16/1 0/1 1 15 -0.062500 In -0.078637 -0.046363 17/1 1/0 1 15 -0.058837 In -0.059731 -0.057943 18/1 0/1 1 15 -0.055556 In -0.069900 -0.041211 19/1 1/0 1 15 -0.052641 In -0.053357 -0.051926 20/1 0/1 1 15 -0.050000 In -0.062910 -0.037090 21/1 1/0 1 15 -0.047626 In -0.048212 -0.047041 22/1 0/1 1 15 -0.045455 In -0.057191 -0.033718 23/1 1/0 1 15 -0.043484 In -0.043972 -0.042996 24/1 0/1 1 15 -0.041667 In -0.052425 -0.030908 25/1 1/0 1 15 -0.040004 In -0.040417 -0.039591 26/1 0/1 1 15 -0.038462 In -0.048392 -0.028531 27/1 1/0 1 15 -0.037040 In -0.037395 -0.036686 28/1 0/1 1 15 -0.035714 In -0.044936 -0.026493 29/1 1/0 1 15 -0.034485 In -0.034793 -0.034178 30/1 0/1 1 15 -0.033333 In -0.041940 -0.024727 31/1 1/0 1 15 -0.032260 In -0.032529 -0.031992 32/1 0/1 1 15 -0.031250 In -0.039319 -0.023181 33/1 1/0 1 15 -0.030305 In -0.030542 -0.030068 34/1 0/1 1 15 -0.029412 In -0.037006 -0.021818 35/1 1/0 1 15 -0.028573 In -0.028784 -0.028362 36/1 0/1 1 15 -0.027778 In -0.034950 -0.020606 37/1 1/0 1 15 -0.027028 In -0.027217 -0.026840 38/1 0/1 1 15 -0.026316 In -0.033110 -0.019521 39/1 1/0 1 15 -0.025642 In -0.025812 -0.025472 40/1 0/1 1 15 -0.025000 In -0.031455 -0.018545 41/1 1/0 1 15 -0.024391 In -0.024545 -0.024238 42/1 0/1 1 15 -0.023810 In -0.029957 -0.017662 43/1 1/0 1 15 -0.023257 In -0.023396 -0.023117 44/1 0/1 1 15 -0.022727 In -0.028595 -0.016859 45/1 1/0 1 15 -0.022223 In -0.022350 -0.022095 46/1 0/1 1 15 -0.021739 In -0.027352 -0.016126 47/1 1/0 1 15 -0.021277 In -0.021394 -0.021160 48/1 0/1 1 15 -0.020833 In -0.026212 -0.015454 49/1 1/0 1 15 -0.020409 In -0.020516 -0.020301 50/1 0/1 1 15 -0.020000 In -0.025164 -0.014836 -49/2 -1/1 1 15 0.040790 In 0.035735 0.045844 -47/2 1/1 1 15 0.042585 In 0.036857 0.048312 -45/2 -1/1 1 15 0.044413 In 0.038930 0.049896 -43/2 1/1 1 15 0.046549 In 0.040265 0.052833 -41/2 -1/1 1 15 0.048743 In 0.042752 0.054733 -39/2 1/1 1 15 0.051328 In 0.044368 0.058288 -37/2 -1/1 1 15 0.054008 In 0.047407 0.060609 -35/2 1/1 1 15 0.057200 In 0.049401 0.064999 -33/2 -1/1 1 15 0.060549 In 0.053198 0.067899 -31/2 1/1 1 15 0.064590 In 0.055723 0.073457 -29/2 -1/1 1 15 0.068892 In 0.060602 0.077182 -27/2 1/1 1 15 0.074172 In 0.063900 0.084445 -25/2 -1/1 1 15 0.079902 In 0.070399 0.089405 -23/2 1/1 1 15 0.087094 In 0.074890 0.099297 -21/2 -1/1 1 15 0.095101 In 0.083975 0.106227 -19/2 1/1 1 15 0.105467 In 0.090445 0.120490 -17/2 -1/1 1 15 0.117443 In 0.104039 0.130848 -15/2 1/1 1 15 0.133669 In 0.114155 0.153183 -13/2 -1/1 1 15 0.153512 In 0.136700 0.170325 -11/2 1/1 1 15 0.182470 In 0.154714 0.210225 -9/2 -1/1 1 15 0.221582 In 0.199250 0.243913 -7/2 1/1 1 15 0.287466 In 0.239977 0.334955 -5/2 -1/1 1 15 0.398396 In 0.367329 0.429462 -3/2 1/1 1 15 0.679104 In 0.534590 0.823619 -1/2 -1/1 1 15 2.071429 In 1.794787 2.348070 1/2 1/1 1 15 -2.071429 In -2.348070 -1.794787 3/2 -1/1 1 15 -0.679104 In -0.823619 -0.534590 5/2 1/1 1 15 -0.398396 In -0.429462 -0.367329 7/2 -1/1 1 15 -0.287466 In -0.334955 -0.239977 9/2 1/1 1 15 -0.221582 In -0.243913 -0.199250 11/2 -1/1 1 15 -0.182470 In -0.210225 -0.154714 13/2 1/1 1 15 -0.153512 In -0.170325 -0.136700 15/2 -1/1 1 15 -0.133669 In -0.153183 -0.114155 17/2 1/1 1 15 -0.117443 In -0.130848 -0.104039 19/2 -1/1 1 15 -0.105467 In -0.120490 -0.090445 21/2 1/1 1 15 -0.095101 In -0.106227 -0.083975 23/2 -1/1 1 15 -0.087094 In -0.099297 -0.074890 25/2 1/1 1 15 -0.079902 In -0.089405 -0.070399 27/2 -1/1 1 15 -0.074172 In -0.084445 -0.063900 29/2 1/1 1 15 -0.068892 In -0.077182 -0.060602 31/2 -1/1 1 15 -0.064590 In -0.073457 -0.055723 33/2 1/1 1 15 -0.060549 In -0.067899 -0.053198 35/2 -1/1 1 15 -0.057200 In -0.064999 -0.049401 37/2 1/1 1 15 -0.054008 In -0.060609 -0.047407 39/2 -1/1 1 15 -0.051328 In -0.058288 -0.044368 41/2 1/1 1 15 -0.048743 In -0.054733 -0.042752 43/2 -1/1 1 15 -0.046549 In -0.052833 -0.040265 45/2 1/1 1 15 -0.044413 In -0.049896 -0.038930 47/2 -1/1 1 15 -0.042585 In -0.048312 -0.036857 49/2 1/1 1 15 -0.040790 In -0.045844 -0.035735 -50/3 0 5 -49/3 0 5 -47/3 0 5 -46/3 0 5 -44/3 0 5 -43/3 0 5 -41/3 0 5 -40/3 0 5 -38/3 0 5 -37/3 0 5 -35/3 0 5 -34/3 0 5 -32/3 0 5 -31/3 0 5 -29/3 0 5 -28/3 0 5 -26/3 0 5 -25/3 0 5 -23/3 0 5 -22/3 0 5 -20/3 0 5 -19/3 0 5 -17/3 0 5 -16/3 0 5 -14/3 0 5 -13/3 0 5 -11/3 0 5 -10/3 0 5 -8/3 0 5 -7/3 0 5 -5/3 0 5 -4/3 0 5 -2/3 0 5 -1/3 0 5 1/3 0 5 2/3 0 5 4/3 0 5 5/3 0 5 7/3 0 5 8/3 0 5 10/3 0 5 11/3 0 5 13/3 0 5 14/3 0 5 16/3 0 5 17/3 0 5 19/3 0 5 20/3 0 5 22/3 0 5 23/3 0 5 25/3 0 5 26/3 0 5 28/3 0 5 29/3 0 5 31/3 0 5 32/3 0 5 34/3 0 5 35/3 0 5 37/3 0 5 38/3 0 5 40/3 0 5 41/3 0 5 43/3 0 5 44/3 0 5 46/3 0 5 47/3 0 5 49/3 0 5 50/3 0 5 -49/4 -1/1 1 15 0.081607 In 0.076768 0.086446 -47/4 1/1 1 15 0.085139 In 0.079178 0.091100 -45/4 1/1 1 15 0.088925 In 0.082677 0.095173 -43/4 -1/1 1 15 0.092991 In 0.087544 0.098437 -41/4 -1/1 1 15 0.097525 In 0.091842 0.103209 -39/4 1/1 1 15 0.102612 In 0.095313 0.109912 -37/4 1/1 1 15 0.108162 In 0.100429 0.115895 -35/4 -1/1 1 15 0.114238 In 0.107703 0.120772 -33/4 -1/1 1 15 0.121158 In 0.114282 0.128035 -31/4 1/1 1 15 0.129111 In 0.119706 0.138515 -29/4 1/1 1 15 0.138021 In 0.127889 0.148154 -27/4 -1/1 1 15 0.148070 In 0.139923 0.156217 -25/4 -1/1 1 15 0.159910 In 0.151234 0.168587 -23/4 1/1 1 15 0.174061 In 0.160881 0.187241 -21/4 1/1 1 15 0.190656 In 0.176017 0.205296 -19/4 -1/1 1 15 0.210380 In 0.199650 0.221111 -17/4 -1/1 1 15 0.235118 In 0.223501 0.246735 -15/4 1/1 1 15 0.267042 In 0.245232 0.288852 -13/4 1/1 1 15 0.308208 In 0.282225 0.334191 -11/4 -1/1 1 15 0.363286 In 0.348340 0.378231 -9/4 -1/1 1 15 0.443987 In 0.428035 0.459938 -7/4 1/1 1 15 0.573569 In 0.515527 0.631611 -5/4 1/1 1 15 0.804813 In 0.711613 0.898013 -3/4 -1/1 1 15 1.335821 In 1.306918 1.364724 -1/4 -1/1 1 15 4.214286 In 3.384361 5.044211 1/4 1/1 1 15 -4.214286 In -5.044211 -3.384361 3/4 1/1 1 15 -1.335821 In -1.364724 -1.306918 5/4 -1/1 1 15 -0.804813 In -0.898013 -0.711613 7/4 -1/1 1 15 -0.573569 In -0.631611 -0.515527 9/4 1/1 1 15 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0/1 1 3 0.104167 In 0.092139 0.116195 -47/5 1/0 1 3 0.106399 In 0.105092 0.107706 -46/5 0 3 -44/5 0 3 -43/5 1/0 1 3 0.116300 In 0.114739 0.117862 -42/5 0/1 1 3 0.119048 In 0.105301 0.132794 -41/5 0 3 -39/5 0 3 -38/5 0/1 1 3 0.131579 In 0.116386 0.146772 -37/5 1/0 1 3 0.135168 In 0.133059 0.137277 -36/5 0 3 -34/5 0 3 -33/5 1/0 1 3 0.151562 In 0.148910 0.154213 -32/5 0/1 1 3 0.156250 In 0.138208 0.174292 -31/5 0 3 -29/5 0 3 -28/5 0/1 1 3 0.178571 In 0.157952 0.199191 -27/5 1/0 1 3 0.185270 In 0.181308 0.189232 -26/5 0 3 -24/5 0 3 -23/5 1/0 1 3 0.217528 In 0.212068 0.222989 -22/5 0/1 1 3 0.227273 In 0.201030 0.253516 -21/5 0 3 -19/5 0 3 -18/5 0/1 1 3 0.277778 In 0.245703 0.309853 -17/5 1/0 1 3 0.294457 In 0.284457 0.304458 -16/5 0 3 -14/5 0 3 -13/5 1/0 1 3 0.385375 In 0.368260 0.402491 -12/5 0/1 1 3 0.416667 In 0.368554 0.464779 -11/5 0 3 -9/5 0 3 -8/5 0/1 1 3 0.625000 In 0.552831 0.697169 -7/5 1/0 1 3 0.719178 In 0.659861 0.778495 -6/5 0 3 -4/5 0 3 -3/5 1/0 1 3 1.730769 In 1.397683 2.063856 -2/5 0/1 1 3 2.500000 In 2.211325 2.788675 -1/5 0 3 1/5 0 3 2/5 0/1 1 3 -2.500000 In -2.788675 -2.211325 3/5 1/0 1 3 -1.730769 In -2.063856 -1.397683 4/5 0 3 6/5 0 3 7/5 1/0 1 3 -0.719178 In -0.778495 -0.659861 8/5 0/1 1 3 -0.625000 In -0.697169 -0.552831 9/5 0 3 11/5 0 3 12/5 0/1 1 3 -0.416667 In -0.464779 -0.368554 13/5 1/0 1 3 -0.385375 In -0.402491 -0.368260 14/5 0 3 16/5 0 3 17/5 1/0 1 3 -0.294457 In -0.304458 -0.284457 18/5 0/1 1 3 -0.277778 In -0.309853 -0.245703 19/5 0 3 21/5 0 3 22/5 0/1 1 3 -0.227273 In -0.253516 -0.201030 23/5 1/0 1 3 -0.217528 In -0.222989 -0.212068 24/5 0 3 26/5 0 3 27/5 1/0 1 3 -0.185270 In -0.189232 -0.181308 28/5 0/1 1 3 -0.178571 In -0.199191 -0.157952 29/5 0 3 31/5 0 3 32/5 0/1 1 3 -0.156250 In -0.174292 -0.138208 33/5 1/0 1 3 -0.151562 In -0.154213 -0.148910 34/5 0 3 36/5 0 3 37/5 1/0 1 3 -0.135168 In -0.137277 -0.133059 38/5 0/1 1 3 -0.131579 In -0.146772 -0.116386 39/5 0 3 41/5 0 3 42/5 0/1 1 3 -0.119048 In -0.132794 -0.105301 43/5 1/0 1 3 -0.116300 In -0.117862 -0.114739 44/5 0 3 46/5 0 3 47/5 1/0 1 3 -0.106399 In -0.107706 -0.105092 48/5 0/1 1 3 -0.104167 In -0.116195 -0.092139 49/5 0 3 -49/6 0 5 -47/6 0 5 -43/6 0 5 -41/6 0 5 -37/6 0 5 -35/6 0 5 -31/6 0 5 -29/6 0 5 -25/6 0 5 -23/6 0 5 -19/6 0 5 -17/6 0 5 -13/6 0 5 -11/6 0 5 -7/6 0 5 -5/6 0 5 -1/6 0 5 1/6 0 5 5/6 0 5 7/6 0 5 11/6 0 5 13/6 0 5 17/6 0 5 19/6 0 5 23/6 0 5 25/6 0 5 29/6 0 5 31/6 0 5 35/6 0 5 37/6 0 5 41/6 0 5 43/6 0 5 47/6 0 5 49/6 0 5 -50/7 4/1 1 15 0.140166 In 0.132107 0.148226 -48/7 -4/1 1 15 0.145785 In 0.143543 0.148027 -47/7 -1/2 1 15 0.148880 In 0.138711 0.159050 -46/7 -2/1 1 15 0.152130 In 0.148225 0.156035 -45/7 -1/2 1 15 0.155495 In 0.144912 0.166078 -44/7 -2/1 1 15 0.159044 In 0.155042 0.163046 -43/7 -1/4 1 15 0.162652 In 0.139611 0.185694 -41/7 1/4 1 15 0.170897 In 0.144631 0.197163 -40/7 2/1 1 15 0.175113 In 0.166397 0.183828 -39/7 1/2 1 15 0.179583 In 0.165153 0.194013 -38/7 2/1 1 15 0.184337 In 0.175037 0.193637 -37/7 1/2 1 15 0.189296 In 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