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 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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 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-0.040790 In -0.045844 -0.035735 -50/3 1/0 1 5 0.060005 In 0.059468 0.060541 -49/3 0/1 1 5 0.061224 In 0.052098 0.070351 -47/3 0/1 1 5 0.063830 In 0.054315 0.073345 -46/3 1/0 1 5 0.065224 In 0.064589 0.065858 -44/3 1/0 1 5 0.068189 In 0.067496 0.068882 -43/3 0/1 1 5 0.069767 In 0.059367 0.080168 -41/3 0/1 1 5 0.073171 In 0.062263 0.084078 -40/3 1/0 1 5 0.075009 In 0.074171 0.075848 -38/3 1/0 1 5 0.078958 In 0.078029 0.079888 -37/3 0/1 1 5 0.081081 In 0.068994 0.093168 -35/3 0/1 1 5 0.085714 In 0.072937 0.098492 -34/3 1/0 1 5 0.088251 In 0.087090 0.089411 -32/3 1/0 1 5 0.093768 In 0.092458 0.095079 -31/3 0/1 1 5 0.096774 In 0.082348 0.111200 -29/3 0/1 1 5 0.103448 In 0.088027 0.118869 -28/3 1/0 1 5 0.107170 In 0.105458 0.108882 -26/3 1/0 1 5 0.115419 In 0.113433 0.117404 -25/3 0/1 1 5 0.120000 In 0.102111 0.137889 -23/3 0/1 1 5 0.130435 In 0.110991 0.149879 -22/3 1/0 1 5 0.136420 In 0.133647 0.139193 -20/3 1/0 1 5 0.150075 In 0.146719 0.153431 -19/3 0/1 1 5 0.157895 In 0.134357 0.181432 -17/3 0/1 1 5 0.176471 In 0.150164 0.202777 -16/3 1/0 1 5 0.187647 In 0.182402 0.192891 -14/3 1/0 1 5 0.214505 In 0.207652 0.221357 -13/3 0/1 1 5 0.230769 In 0.196368 0.265170 -11/3 0/1 1 5 0.272727 In 0.232071 0.313383 -10/3 1/0 1 5 0.300601 In 0.287158 0.314044 -8/3 1/0 1 5 0.376176 In 0.355147 0.397204 -7/3 0/1 1 5 0.428571 In 0.364684 0.492459 -5/3 0/1 1 5 0.600000 In 0.510557 0.689443 -4/3 1/0 1 5 0.759494 In 0.674580 0.844408 -2/3 1/0 1 5 1.578947 In 1.225884 1.932011 -1/3 0/1 1 5 3.000000 In 2.552786 3.447214 1/3 0/1 1 5 -3.000000 In -3.447214 -2.552786 2/3 1/0 1 5 -1.578947 In -1.932011 -1.225884 4/3 1/0 1 5 -0.759494 In -0.844408 -0.674580 5/3 0/1 1 5 -0.600000 In -0.689443 -0.510557 7/3 0/1 1 5 -0.428571 In -0.492459 -0.364684 8/3 1/0 1 5 -0.376176 In -0.397204 -0.355147 10/3 1/0 1 5 -0.300601 In -0.314044 -0.287158 11/3 0/1 1 5 -0.272727 In -0.313383 -0.232071 13/3 0/1 1 5 -0.230769 In -0.265170 -0.196368 14/3 1/0 1 5 -0.214505 In -0.221357 -0.207652 16/3 1/0 1 5 -0.187647 In -0.192891 -0.182402 17/3 0/1 1 5 -0.176471 In -0.202777 -0.150164 19/3 0/1 1 5 -0.157895 In -0.181432 -0.134357 20/3 1/0 1 5 -0.150075 In -0.153431 -0.146719 22/3 1/0 1 5 -0.136420 In -0.139193 -0.133647 23/3 0/1 1 5 -0.130435 In -0.149879 -0.110991 25/3 0/1 1 5 -0.120000 In -0.137889 -0.102111 26/3 1/0 1 5 -0.115419 In -0.117404 -0.113433 28/3 1/0 1 5 -0.107170 In -0.108882 -0.105458 29/3 0/1 1 5 -0.103448 In -0.118869 -0.088027 31/3 0/1 1 5 -0.096774 In -0.111200 -0.082348 32/3 1/0 1 5 -0.093768 In -0.095079 -0.092458 34/3 1/0 1 5 -0.088251 In -0.089411 -0.087090 35/3 0/1 1 5 -0.085714 In -0.098492 -0.072937 37/3 0/1 1 5 -0.081081 In -0.093168 -0.068994 38/3 1/0 1 5 -0.078958 In -0.079888 -0.078029 40/3 1/0 1 5 -0.075009 In -0.075848 -0.074171 41/3 0/1 1 5 -0.073171 In -0.084078 -0.062263 43/3 0/1 1 5 -0.069767 In -0.080168 -0.059367 44/3 1/0 1 5 -0.068189 In -0.068882 -0.067496 46/3 1/0 1 5 -0.065224 In -0.065858 -0.064589 47/3 0/1 1 5 -0.063830 In -0.073345 -0.054315 49/3 0/1 1 5 -0.061224 In -0.070351 -0.052098 50/3 1/0 1 5 -0.060005 In -0.060541 -0.059468 -49/4 1/1 1 15 0.081663 In 0.075963 0.087362 -47/4 -1/1 1 15 0.085079 In 0.080053 0.090105 -45/4 -1/1 1 15 0.088859 In 0.083631 0.094087 -43/4 1/1 1 15 0.093063 In 0.086499 0.099626 -41/4 1/1 1 15 0.097605 In 0.090692 0.104517 -39/4 -1/1 1 15 0.102525 In 0.096583 0.108466 -37/4 -1/1 1 15 0.108065 In 0.101840 0.114289 -35/4 1/1 1 15 0.114346 In 0.106126 0.122567 -33/4 1/1 1 15 0.121281 In 0.112508 0.130054 -31/4 -1/1 1 15 0.128972 In 0.121717 0.136227 -29/4 -1/1 1 15 0.137863 In 0.130187 0.145539 -27/4 1/1 1 15 0.148253 In 0.137273 0.159234 -25/4 1/1 1 15 0.160124 In 0.148142 0.172105 -23/4 -1/1 1 15 0.173809 In 0.164534 0.183084 -21/4 -1/1 1 15 0.190354 In 0.180399 0.200309 -19/4 1/1 1 15 0.210750 In 0.194297 0.227203 -17/4 1/1 1 15 0.235579 In 0.216813 0.254345 -15/4 -1/1 1 15 0.266449 In 0.253823 0.279076 -13/4 -1/1 1 15 0.307419 In 0.293663 0.321175 -11/4 1/1 1 15 0.364388 In 0.332362 0.396414 -9/4 1/1 1 15 0.445634 In 0.404161 0.487108 -7/4 -1/1 1 15 0.570845 In 0.555015 0.586674 -5/4 -1/1 1 15 0.799465 In 0.789110 0.809821 -3/4 1/1 1 15 1.350746 In 1.148426 1.553066 -1/4 1/1 1 15 4.357143 In 2.973935 5.740351 1/4 -1/1 1 15 -4.357143 In -5.740351 -2.973935 3/4 -1/1 1 15 -1.350746 In -1.553066 -1.148426 5/4 1/1 1 15 -0.799465 In -0.809821 -0.789110 7/4 1/1 1 15 -0.570845 In -0.586674 -0.555015 9/4 -1/1 1 15 -0.445634 In -0.487108 -0.404161 11/4 -1/1 1 15 -0.364388 In -0.396414 -0.332362 13/4 1/1 1 15 -0.307419 In -0.321175 -0.293663 15/4 1/1 1 15 -0.266449 In -0.279076 -0.253823 17/4 -1/1 1 15 -0.235579 In -0.254345 -0.216813 19/4 -1/1 1 15 -0.210750 In -0.227203 -0.194297 21/4 1/1 1 15 -0.190354 In -0.200309 -0.180399 23/4 1/1 1 15 -0.173809 In -0.183084 -0.164534 25/4 -1/1 1 15 -0.160124 In -0.172105 -0.148142 27/4 -1/1 1 15 -0.148253 In -0.159234 -0.137273 29/4 1/1 1 15 -0.137863 In -0.145539 -0.130187 31/4 1/1 1 15 -0.128972 In -0.136227 -0.121717 33/4 -1/1 1 15 -0.121281 In 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