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 22 0.020000 In 0.015736 0.024264 -49/1 0/1 1 22 0.020408 In 0.016057 0.024759 -48/1 0/1 1 22 0.020833 In 0.016392 0.025275 -47/1 0/1 1 22 0.021277 In 0.016740 0.025813 -46/1 0/1 1 22 0.021739 In 0.017104 0.026374 -45/1 0/1 1 22 0.022222 In 0.017484 0.026960 -44/1 0/1 1 22 0.022727 In 0.017882 0.027573 -43/1 0/1 1 22 0.023256 In 0.018298 0.028214 -42/1 0/1 1 22 0.023810 In 0.018733 0.028886 -41/1 0/1 1 22 0.024390 In 0.019190 0.029590 -40/1 0/1 1 22 0.025000 In 0.019670 0.030330 -39/1 0/1 1 22 0.025641 In 0.020174 0.031108 -38/1 0/1 1 22 0.026316 In 0.020705 0.031926 -37/1 0/1 1 22 0.027027 In 0.021265 0.032789 -36/1 0/1 1 22 0.027778 In 0.021856 0.033700 -35/1 0/1 1 22 0.028571 In 0.022480 0.034663 -34/1 0/1 1 22 0.029412 In 0.023141 0.035682 -33/1 0/1 1 22 0.030303 In 0.023842 0.036764 -32/1 0/1 1 22 0.031250 In 0.024587 0.037913 -31/1 0/1 1 22 0.032258 In 0.025381 0.039136 -30/1 0/1 1 22 0.033333 In 0.026227 0.040440 -29/1 0/1 1 22 0.034483 In 0.027131 0.041835 -28/1 0/1 1 22 0.035714 In 0.028100 0.043329 -27/1 0/1 1 22 0.037037 In 0.029141 0.044933 -26/1 0/1 1 22 0.038462 In 0.030262 0.046662 -25/1 0/1 1 22 0.040000 In 0.031472 0.048528 -24/1 0/1 1 22 0.041667 In 0.032783 0.050550 -23/1 0/1 1 22 0.043478 In 0.034209 0.052748 -22/1 0/1 1 22 0.045455 In 0.035764 0.055145 -21/1 0/1 1 22 0.047619 In 0.037467 0.057771 -20/1 0/1 1 22 0.050000 In 0.039340 0.060660 -19/1 0/1 1 22 0.052632 In 0.041410 0.063853 -18/1 0/1 1 22 0.055556 In 0.043711 0.067400 -17/1 0/1 1 22 0.058824 In 0.046282 0.071365 -16/1 0/1 1 22 0.062500 In 0.049175 0.075825 -15/1 0/1 1 22 0.066667 In 0.052453 0.080880 -14/1 0/1 1 22 0.071429 In 0.056200 0.086657 -13/1 0/1 1 22 0.076923 In 0.060523 0.093323 -12/1 0/1 1 22 0.083333 In 0.065567 0.101100 -11/1 0/1 1 22 0.090909 In 0.071527 0.110291 -10/1 0/1 1 22 0.100000 In 0.078680 0.121320 -9/1 0/1 1 22 0.111111 In 0.087422 0.134800 -8/1 0/1 1 22 0.125000 In 0.098350 0.151650 -7/1 0/1 1 22 0.142857 In 0.112400 0.173314 -6/1 0/1 1 22 0.166667 In 0.131133 0.202200 -5/1 0/1 1 22 0.200000 In 0.157360 0.242640 -4/1 0/1 1 22 0.250000 In 0.196700 0.303300 -3/1 0/1 1 22 0.333333 In 0.262266 0.404400 -2/1 0/1 1 22 0.500000 In 0.393400 0.606600 -1/1 0/1 1 22 1.000000 In 0.786799 1.213201 0/1 0/1 1 22 1/1 0/1 1 22 -1.000000 In -1.213201 -0.786799 2/1 0/1 1 22 -0.500000 In -0.606600 -0.393400 3/1 0/1 1 22 -0.333333 In -0.404400 -0.262266 4/1 0/1 1 22 -0.250000 In -0.303300 -0.196700 5/1 0/1 1 22 -0.200000 In -0.242640 -0.157360 6/1 0/1 1 22 -0.166667 In -0.202200 -0.131133 7/1 0/1 1 22 -0.142857 In -0.173314 -0.112400 8/1 0/1 1 22 -0.125000 In -0.151650 -0.098350 9/1 0/1 1 22 -0.111111 In -0.134800 -0.087422 10/1 0/1 1 22 -0.100000 In -0.121320 -0.078680 11/1 0/1 1 22 -0.090909 In -0.110291 -0.071527 12/1 0/1 1 22 -0.083333 In -0.101100 -0.065567 13/1 0/1 1 22 -0.076923 In -0.093323 -0.060523 14/1 0/1 1 22 -0.071429 In -0.086657 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36/1 0/1 1 22 -0.027778 In -0.033700 -0.021856 37/1 0/1 1 22 -0.027027 In -0.032789 -0.021265 38/1 0/1 1 22 -0.026316 In -0.031926 -0.020705 39/1 0/1 1 22 -0.025641 In -0.031108 -0.020174 40/1 0/1 1 22 -0.025000 In -0.030330 -0.019670 41/1 0/1 1 22 -0.024390 In -0.029590 -0.019190 42/1 0/1 1 22 -0.023810 In -0.028886 -0.018733 43/1 0/1 1 22 -0.023256 In -0.028214 -0.018298 44/1 0/1 1 22 -0.022727 In -0.027573 -0.017882 45/1 0/1 1 22 -0.022222 In -0.026960 -0.017484 46/1 0/1 1 22 -0.021739 In -0.026374 -0.017104 47/1 0/1 1 22 -0.021277 In -0.025813 -0.016740 48/1 0/1 1 22 -0.020833 In -0.025275 -0.016392 49/1 0/1 1 22 -0.020408 In -0.024759 -0.016057 50/1 0/1 1 22 -0.020000 In -0.024264 -0.015736 -49/2 1/0 2 11 0.040819 In 0.040464 0.041175 -47/2 1/0 2 11 0.042557 In 0.042171 0.042943 -45/2 1/0 2 11 0.044448 In 0.044027 0.044870 -43/2 1/0 2 11 0.046516 In 0.046055 0.046977 -41/2 1/0 2 11 0.048786 In 0.048278 0.049293 -39/2 1/0 2 11 0.051288 In 0.050727 0.051849 -37/2 1/0 2 11 0.054061 In 0.053438 0.054684 -35/2 1/0 2 11 0.057151 In 0.056455 0.057848 -33/2 1/0 2 11 0.060616 In 0.059833 0.061399 -31/2 1/0 2 11 0.064528 In 0.063641 0.065416 -29/2 1/0 2 11 0.068980 In 0.067966 0.069995 -27/2 1/0 2 11 0.074093 In 0.072922 0.075263 -25/2 1/0 2 11 0.080023 In 0.078658 0.081388 -23/2 1/0 2 11 0.086986 In 0.085374 0.088599 -21/2 1/0 2 11 0.095277 In 0.093343 0.097212 -19/2 1/0 2 11 0.105316 In 0.102953 0.107680 -17/2 1/0 2 11 0.117721 In 0.114768 0.120674 -15/2 1/0 2 11 0.133441 In 0.129648 0.137234 -13/2 1/0 2 11 0.154012 In 0.148960 0.159063 -11/2 1/0 2 11 0.182092 In 0.175033 0.189150 -9/2 1/0 2 11 0.222722 In 0.212170 0.233274 -7/2 1/0 2 11 0.286778 In 0.269309 0.304247 -5/2 1/0 2 11 0.402930 In 0.368568 0.437292 -3/2 1/0 2 11 0.680412 In 0.583703 0.777122 -1/2 1/0 2 11 2.444444 In 1.402130 3.486759 1/2 1/0 2 11 -2.444444 In -3.486759 -1.402130 3/2 1/0 2 11 -0.680412 In -0.777122 -0.583703 5/2 1/0 2 11 -0.402930 In -0.437292 -0.368568 7/2 1/0 2 11 -0.286778 In -0.304247 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-50/3 0/1 1 22 0.060000 In 0.055736 0.064264 -49/3 0/1 1 22 0.061224 In 0.056873 0.065576 -47/3 0/1 1 22 0.063830 In 0.059294 0.068366 -46/3 0/1 1 22 0.065217 In 0.060583 0.069852 -44/3 0/1 1 22 0.068182 In 0.063336 0.073027 -43/3 0/1 1 22 0.069767 In 0.064809 0.074726 -41/3 0/1 1 22 0.073171 In 0.067971 0.078371 -40/3 0/1 1 22 0.075000 In 0.069670 0.080330 -38/3 0/1 1 22 0.078947 In 0.073337 0.084558 -37/3 0/1 1 22 0.081081 In 0.075319 0.086843 -35/3 0/1 1 22 0.085714 In 0.079623 0.091806 -34/3 0/1 1 22 0.088235 In 0.081965 0.094506 -32/3 0/1 1 22 0.093750 In 0.087087 0.100413 -31/3 0/1 1 22 0.096774 In 0.089897 0.103652 -29/3 0/1 1 22 0.103448 In 0.096097 0.110800 -28/3 0/1 1 22 0.107143 In 0.099529 0.114757 -26/3 0/1 1 22 0.115385 In 0.107185 0.123585 -25/3 0/1 1 22 0.120000 In 0.111472 0.128528 -23/3 0/1 1 22 0.130435 In 0.121165 0.139704 -22/3 0/1 1 22 0.136364 In 0.126673 0.146055 -20/3 0/1 1 22 0.150000 In 0.139340 0.160660 -19/3 0/1 1 22 0.157895 In 0.146674 0.169116 -17/3 0/1 1 22 0.176471 In 0.163929 0.189012 -16/3 0/1 1 22 0.187500 In 0.174175 0.200825 -14/3 0/1 1 22 0.214286 In 0.199057 0.229514 -13/3 0/1 1 22 0.230769 In 0.214369 0.247169 -11/3 0/1 1 22 0.272727 In 0.253345 0.292109 -10/3 0/1 1 22 0.300000 In 0.278680 0.321320 -8/3 0/1 1 22 0.375000 In 0.348350 0.401650 -7/3 0/1 1 22 0.428571 In 0.398114 0.459029 -5/3 0/1 1 22 0.600000 In 0.557360 0.642640 -4/3 0/1 1 22 0.750000 In 0.696700 0.803300 -2/3 0/1 1 22 1.500000 In 1.393400 1.606600 -1/3 0/1 1 22 3.000000 In 2.786799 3.213201 1/3 0/1 1 22 -3.000000 In -3.213201 -2.786799 2/3 0/1 1 22 -1.500000 In -1.606600 -1.393400 4/3 0/1 1 22 -0.750000 In -0.803300 -0.696700 5/3 0/1 1 22 -0.600000 In -0.642640 -0.557360 7/3 0/1 1 22 -0.428571 In -0.459029 -0.398114 8/3 0/1 1 22 -0.375000 In -0.401650 -0.348350 10/3 0/1 1 22 -0.300000 In -0.321320 -0.278680 11/3 0/1 1 22 -0.272727 In -0.292109 -0.253345 13/3 0/1 1 22 -0.230769 In -0.247169 -0.214369 14/3 0/1 1 22 -0.214286 In -0.229514 -0.199057 16/3 0/1 1 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In -0.068366 -0.059294 49/3 0/1 1 22 -0.061224 In -0.065576 -0.056873 50/3 0/1 1 22 -0.060000 In -0.064264 -0.055736 -49/4 -1/1 2 11 0.081563 In 0.073571 0.089555 -47/4 1/1 2 11 0.085196 In 0.075350 0.095041 -45/4 -1/1 2 11 0.088807 In 0.080173 0.097441 -43/4 1/1 2 11 0.093131 In 0.082291 0.103971 -41/4 -1/1 2 11 0.097463 In 0.088077 0.106850 -39/4 1/1 2 11 0.102696 In 0.090640 0.114752 -37/4 -1/1 2 11 0.107990 In 0.097710 0.118269 -35/4 1/1 2 11 0.114451 In 0.100874 0.128028 -33/4 -1/1 2 11 0.121065 In 0.109708 0.132422 -31/4 1/1 2 11 0.129246 In 0.113713 0.144779 -29/4 -1/1 2 11 0.137745 In 0.125066 0.150423 -27/4 1/1 2 11 0.148435 In 0.130298 0.166571 -25/4 -1/1 2 11 0.159756 In 0.145424 0.174087 -23/4 1/1 2 11 0.174317 In 0.152546 0.196088 -21/4 -1/1 2 11 0.190142 In 0.173698 0.206586 -19/4 1/1 2 11 0.211136 In 0.183956 0.238317 -17/4 -1/1 2 11 0.234813 In 0.215620 0.254005 -15/4 1/1 2 11 0.267691 In 0.231655 0.303727 -13/4 -1/1 2 11 0.306947 In 0.284214 0.329679 -11/4 1/1 2 11 0.365688 In 0.312749 0.418628 -9/4 -1/1 2 11 0.443195 In 0.416814 0.469575 -7/4 1/1 2 11 0.577281 In 0.481202 0.673360 -5/4 -1/1 2 11 0.798535 In 0.781354 0.815716 -3/4 1/1 2 11 1.381443 In 1.042960 1.719927 -1/4 -1/1 2 11 4.666667 In 3.103195 6.230139 1/4 1/1 2 11 -4.666667 In -6.230139 -3.103195 3/4 -1/1 2 11 -1.381443 In -1.719927 -1.042960 5/4 1/1 2 11 -0.798535 In -0.815716 -0.781354 7/4 -1/1 2 11 -0.577281 In -0.673360 -0.481202 9/4 1/1 2 11 -0.443195 In -0.469575 -0.416814 11/4 -1/1 2 11 -0.365688 In -0.418628 -0.312749 13/4 1/1 2 11 -0.306947 In -0.329679 -0.284214 15/4 -1/1 2 11 -0.267691 In -0.303727 -0.231655 17/4 1/1 2 11 -0.234813 In -0.254005 -0.215620 19/4 -1/1 2 11 -0.211136 In -0.238317 -0.183956 21/4 1/1 2 11 -0.190142 In -0.206586 -0.173698 23/4 -1/1 2 11 -0.174317 In -0.196088 -0.152546 25/4 1/1 2 11 -0.159756 In -0.174087 -0.145424 27/4 -1/1 2 11 -0.148435 In -0.166571 -0.130298 29/4 1/1 2 11 -0.137745 In -0.150423 -0.125066 31/4 -1/1 2 11 -0.129246 In -0.144779 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