SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 24 -50/1 -1/1 1 12 0.019967 In 0.014309 0.025626 -49/1 0 24 -48/1 0 1 -47/1 0 24 -46/1 -1/1 1 12 0.021701 In 0.015561 0.027840 -45/1 0 8 -44/1 0/1 1 6 0.022727 In 0.013449 0.032006 -43/1 0 24 -42/1 0 4 -41/1 0 24 -40/1 1/0 2 3 0.025010 In 0.024500 0.025521 -39/1 0 8 -38/1 1/1 1 12 0.026375 In 0.018578 0.034172 -37/1 0 24 -36/1 1/0 6 2 0.027842 In 0.026503 0.029182 -35/1 0 24 -34/1 -1/1 1 12 0.029342 In 0.021100 0.037583 -33/1 0 8 -32/1 0 3 -31/1 0 24 -30/1 0 4 -29/1 0 24 -28/1 4/1 1 6 0.036689 In 0.019969 0.053409 -27/1 0 8 -26/1 9/1 1 12 0.039970 In 0.024873 0.055067 -25/1 0 24 -24/1 1/0 18 1 0.043011 In 0.035407 0.050614 -23/1 0 24 -22/1 -9/1 1 12 0.044526 In 0.036663 0.052389 -21/1 0 8 -20/1 -4/1 1 6 0.048658 In 0.032218 0.065097 -19/1 0 24 -18/1 0 4 -17/1 0 24 -16/1 0 3 -15/1 0 8 -14/1 1/1 1 12 0.071884 In 0.049782 0.093986 -13/1 0 24 -12/1 1/0 6 2 0.085106 In 0.072822 0.097390 -11/1 0 24 -10/1 -1/1 1 12 0.099249 In 0.073247 0.125252 -9/1 0 8 -8/1 1/0 2 3 0.126316 In 0.113424 0.139208 -7/1 0 24 -6/1 0 4 -5/1 0 24 -4/1 0/1 1 6 0.250000 In 0.147938 0.352062 -3/1 0 8 -2/1 1/1 1 12 0.531915 In 0.310802 0.753028 -1/1 0 24 0/1 0 1 1/1 0 24 2/1 1/1 1 12 -0.489362 In -0.563066 -0.415657 3/1 0 8 4/1 2/1 1 6 -0.239130 In -0.292380 -0.185881 5/1 0 24 6/1 0 4 7/1 0 24 8/1 1/0 2 3 -0.126316 In -0.139208 -0.113424 9/1 0 8 10/1 3/1 1 12 -0.098237 In -0.118597 -0.077877 11/1 0 24 12/1 1/0 6 2 -0.085106 In -0.097390 -0.072822 13/1 0 24 14/1 1/1 1 12 -0.071034 In -0.090189 -0.051879 15/1 0 8 16/1 0 3 17/1 0 24 18/1 0 4 19/1 0 24 20/1 6/1 1 6 -0.048223 In -0.062730 -0.033717 21/1 0 8 22/1 11/1 1 12 -0.044487 In -0.051188 -0.037787 23/1 0 24 24/1 1/0 18 1 -0.043011 In -0.050614 -0.035407 25/1 0 24 26/1 -7/1 1 12 -0.039563 In -0.053741 -0.025386 27/1 0 8 28/1 -2/1 1 6 -0.036170 In -0.051805 -0.020535 29/1 0 24 30/1 0 4 31/1 0 24 32/1 0 3 33/1 0 8 34/1 3/1 1 12 -0.029214 In -0.036961 -0.021468 35/1 0 24 36/1 1/0 6 2 -0.027842 In -0.029182 -0.026503 37/1 0 24 38/1 1/1 1 12 -0.026260 In -0.033657 -0.018862 39/1 0 8 40/1 1/0 2 3 -0.025010 In -0.025521 -0.024500 41/1 0 24 42/1 0 4 43/1 0 24 44/1 2/1 1 6 -0.022563 In -0.031423 -0.013703 45/1 0 8 46/1 3/1 1 12 -0.021629 In -0.027497 -0.015760 47/1 0 24 48/1 0 1 49/1 0 24 50/1 3/1 1 12 -0.019906 In -0.025335 -0.014477 -49/2 1/0 1 24 0.040817 In 0.040647 0.040987 -47/2 1/0 1 24 0.042554 In 0.042369 0.042739 -45/2 1/0 1 8 0.044447 In 0.044098 0.044796 -43/2 1/0 1 24 0.046513 In 0.046292 0.046733 -41/2 1/0 1 24 0.048782 In 0.048539 0.049025 -39/2 1/0 1 8 0.051286 In 0.050821 0.051751 -37/2 -5/2 1 24 0.053791 In 0.044241 0.063341 -35/2 -5/2 1 24 0.056851 In 0.046845 0.066857 -33/2 1/0 1 8 0.060613 In 0.059964 0.061262 -31/2 1/0 1 24 0.064519 In 0.064094 0.064944 -29/2 -1/2 1 24 0.068870 In 0.055277 0.082463 -27/2 1/0 1 8 0.074087 In 0.073117 0.075057 -25/2 1/0 1 24 0.080005 In 0.079352 0.080659 -23/2 1/0 1 24 0.086963 In 0.086192 0.087735 -21/2 1/0 1 8 0.095265 In 0.093661 0.096869 -19/2 1/0 1 24 0.105275 In 0.104144 0.106406 -17/2 1/0 1 24 0.117664 In 0.116251 0.119077 -15/2 1/0 1 8 0.133407 In 0.130263 0.136552 -13/2 -1/2 1 24 0.153391 In 0.124396 0.182386 -11/2 -1/2 1 24 0.181192 In 0.147441 0.214943 -9/2 1/0 1 8 0.222566 In 0.213822 0.231309 -7/2 1/0 1 24 0.285957 In 0.277619 0.294296 -5/2 1/2 1 24 0.404007 In 0.305864 0.502150 -3/2 1/0 1 8 0.676056 In 0.596382 0.755730 -1/2 1/0 1 24 2.086957 In 1.660958 2.512955 1/2 1/0 1 24 -2.086957 In -2.512955 -1.660958 3/2 1/0 1 8 -0.676056 In -0.755730 -0.596382 5/2 3/2 1 24 -0.395939 In -0.429096 -0.362782 7/2 1/0 1 24 -0.285957 In -0.294296 -0.277619 9/2 1/0 1 8 -0.222566 In -0.231309 -0.213822 11/2 5/2 1 24 -0.179924 In -0.200343 -0.159504 13/2 5/2 1 24 -0.152320 In -0.171765 -0.132874 15/2 1/0 1 8 -0.133407 In -0.136552 -0.130263 17/2 1/0 1 24 -0.117664 In -0.119077 -0.116251 19/2 1/0 1 24 -0.105275 In -0.106406 -0.104144 21/2 1/0 1 8 -0.095265 In -0.096869 -0.093661 23/2 1/0 1 24 -0.086963 In -0.087735 -0.086192 25/2 1/0 1 24 -0.080005 In -0.080659 -0.079352 27/2 1/0 1 8 -0.074087 In -0.075057 -0.073117 29/2 5/2 1 24 -0.068555 In -0.080220 -0.056890 31/2 1/0 1 24 -0.064519 In -0.064944 -0.064094 33/2 1/0 1 8 -0.060613 In -0.061262 -0.059964 35/2 9/2 1 24 -0.056687 In -0.065376 -0.047998 37/2 9/2 1 24 -0.053638 In -0.062009 -0.045268 39/2 1/0 1 8 -0.051286 In -0.051751 -0.050821 41/2 1/0 1 24 -0.048782 In -0.049025 -0.048539 43/2 1/0 1 24 -0.046513 In -0.046733 -0.046292 45/2 1/0 1 8 -0.044447 In -0.044796 -0.044098 47/2 1/0 1 24 -0.042554 In -0.042739 -0.042369 49/2 1/0 1 24 -0.040817 In -0.040987 -0.040647 -50/3 -1/1 1 12 0.059969 In 0.054541 0.065396 -49/3 0 24 -47/3 0 24 -46/3 -1/1 1 12 0.065181 In 0.059314 0.071047 -44/3 0 6 -43/3 0 24 -41/3 0 24 -40/3 1/1 1 3 0.075224 In 0.059704 0.090744 -38/3 3/1 1 12 0.079162 In 0.069761 0.088562 -37/3 0 24 -35/3 0 24 -34/3 -5/1 1 12 0.088034 In 0.083280 0.092787 -32/3 -2/1 2 3 0.092689 In 0.071904 0.113475 -31/3 0 24 -29/3 0 24 -28/3 0 6 -26/3 1/1 1 12 0.115522 In 0.103137 0.127908 -25/3 0 24 -23/3 0 24 -22/3 -1/1 1 12 0.136215 In 0.124881 0.147549 -20/3 0 6 -19/3 0 24 -17/3 0 24 -16/3 0/1 2 3 0.187500 In 0.136469 0.238531 -14/3 1/1 1 12 0.214802 In 0.189753 0.239851 -13/3 0 24 -11/3 0 24 -10/3 1/1 1 12 0.301084 In 0.263525 0.338643 -8/3 1/1 1 3 0.382199 In 0.282447 0.481951 -7/3 0 24 -5/3 0 24 -4/3 0 6 -2/3 1/1 1 12 1.553191 In 1.184670 1.921713 -1/3 0 24 1/3 0 24 2/3 1/1 1 12 -1.510638 In -1.584343 -1.436934 4/3 0 6 5/3 0 24 7/3 0 24 8/3 1/1 1 3 -0.371728 In -0.417069 -0.326386 10/3 1/1 1 12 -0.299416 In -0.319640 -0.279192 11/3 0 24 13/3 0 24 14/3 1/1 1 12 -0.213952 In -0.230160 -0.197743 16/3 2/1 2 3 -0.184211 In -0.216441 -0.151980 17/3 0 24 19/3 0 24 20/3 0 6 22/3 3/1 1 12 -0.136058 In -0.143824 -0.128292 23/3 0 24 25/3 0 24 26/3 1/1 1 12 -0.115276 In -0.125099 -0.105453 28/3 0 6 29/3 0 24 31/3 0 24 32/3 4/1 2 3 -0.092105 In -0.108220 -0.075990 34/3 7/1 1 12 -0.088042 In -0.091300 -0.084784 35/3 0 24 37/3 0 24 38/3 -1/1 1 12 -0.079010 In -0.087207 -0.070813 40/3 1/1 1 3 -0.074807 In -0.088161 -0.061453 41/3 0 24 43/3 0 24 44/3 0 6 46/3 3/1 1 12 -0.065122 In -0.070172 -0.060073 47/3 0 24 49/3 0 24 50/3 3/1 1 12 -0.059918 In -0.064654 -0.055182 -49/4 1/0 1 24 0.081634 In 0.081294 0.081974 -47/4 1/0 1 24 0.085108 In 0.084738 0.085478 -45/4 1/0 1 8 0.088894 In 0.088196 0.089593 -43/4 -5/2 1 24 0.092850 In 0.085560 0.100141 -41/4 -3/2 1 24 0.097434 In 0.088932 0.105936 -39/4 1/0 1 8 0.102573 In 0.101643 0.103502 -37/4 -3/2 1 24 0.107955 In 0.098708 0.117202 -35/4 -1/4 1 24 0.114154 In 0.091491 0.136816 -33/4 1/0 1 8 0.121226 In 0.119927 0.122525 -31/4 1/0 1 24 0.129038 In 0.128188 0.129888 -29/4 -3/2 1 24 0.137695 In 0.126525 0.148865 -27/4 1/0 1 8 0.148174 In 0.146233 0.150114 -25/4 1/0 1 24 0.160011 In 0.158704 0.161317 -23/4 1/0 1 24 0.173927 In 0.172383 0.175470 -21/4 1/0 1 8 0.190530 In 0.187322 0.193738 -19/4 1/4 1 24 0.211012 In 0.165772 0.256253 -17/4 1/0 1 24 0.235328 In 0.232502 0.238154 -15/4 1/0 1 8 0.266815 In 0.260526 0.273104 -13/4 1/2 1 24 0.308261 In 0.272017 0.344505 -11/4 1/0 1 24 0.363762 In 0.357011 0.370512 -9/4 1/2 1 8 0.448223 In 0.352047 0.544398 -7/4 1/0 1 24 0.571915 In 0.555238 0.588592 -5/4 1/0 1 24 0.801336 In 0.768621 0.834050 -3/4 1/0 1 8 1.352113 In 1.192765 1.511461 -1/4 1/0 1 24 4.173913 In 3.321917 5.025909 1/4 1/0 1 24 -4.173913 In -5.025909 -3.321917 3/4 1/0 1 8 -1.352113 In -1.511461 -1.192765 5/4 1/0 1 24 -0.801336 In -0.834050 -0.768621 7/4 1/0 1 24 -0.571915 In -0.588592 -0.555238 9/4 3/2 1 8 -0.441315 In -0.467873 -0.414757 11/4 1/0 1 24 -0.363762 In -0.370512 -0.357011 13/4 3/2 1 24 -0.306894 In -0.323841 -0.289947 15/4 1/0 1 8 -0.266815 In -0.273104 -0.260526 17/4 1/0 1 24 -0.235328 In -0.238154 -0.232502 19/4 7/4 1 24 -0.208474 In -0.235769 -0.181178 21/4 1/0 1 8 -0.190530 In -0.193738 -0.187322 23/4 1/0 1 24 -0.173927 In -0.175470 -0.172383 25/4 1/0 1 24 -0.160011 In -0.161317 -0.158704 27/4 1/0 1 8 -0.148174 In -0.150114 -0.146233 29/4 7/2 1 24 -0.137571 In -0.144871 -0.130272 31/4 1/0 1 24 -0.129038 In -0.129888 -0.128188 33/4 1/0 1 8 -0.121226 In -0.122525 -0.119927 35/4 9/4 1 24 -0.113374 In -0.130751 -0.095996 37/4 7/2 1 24 -0.107843 In -0.114712 -0.100974 39/4 1/0 1 8 -0.102573 In -0.103502 -0.101643 41/4 7/2 1 24 -0.097332 In -0.103897 -0.090767 43/4 9/2 1 24 -0.092787 In -0.098317 -0.087257 45/4 1/0 1 8 -0.088894 In -0.089593 -0.088196 47/4 1/0 1 24 -0.085108 In -0.085478 -0.084738 49/4 1/0 1 24 -0.081634 In -0.081974 -0.081294 -49/5 0 24 -48/5 0 1 -47/5 0 24 -46/5 -1/1 1 12 0.108661 In 0.103067 0.114254 -44/5 0 6 -43/5 0 24 -42/5 1/1 2 4 0.119365 In 0.100519 0.138210 -41/5 0 24 -39/5 0 8 -38/5 -3/1 1 12 0.131474 In 0.126874 0.136075 -37/5 0 24 -36/5 -1/1 3 2 0.137891 In 0.108562 0.167221 -34/5 -1/1 1 12 0.146997 In 0.139755 0.154240 -33/5 0 8 -32/5 0/1 1 3 0.156250 In 0.138208 0.174292 -31/5 0 24 -29/5 0 24 -28/5 0 6 -27/5 0 8 -26/5 -1/1 1 12 0.192208 In 0.183239 0.201177 -24/5 0/1 5 1 0.208333 In 0.115164 0.301503 -23/5 0 24 -22/5 -1/3 1 12 0.226795 In 0.190406 0.263184 -21/5 0 8 -19/5 0 24 -18/5 1/1 2 4 0.279753 In 0.229479 0.330026 -17/5 0 24 -16/5 0/1 1 3 0.312500 In 0.276416 0.348584 -14/5 1/1 1 12 0.357720 In 0.329724 0.385716 -13/5 0 24 -12/5 1/1 3 2 0.431579 In 0.285469 0.577689 -11/5 0 24 -9/5 0 8 -8/5 1/0 1 3 0.628272 In 0.582931 0.673614 -7/5 0 24 -6/5 1/1 2 4 0.859155 In 0.640051 1.078258 -4/5 0 6 -3/5 0 8 -2/5 1/1 1 12 2.574468 In 2.058538 3.090398 -1/5 0 24 1/5 0 24 2/5 1/1 1 12 -2.531915 In -2.753028 -2.310802 3/5 0 8 4/5 0 6 6/5 1/1 2 4 -0.830986 In -0.850904 -0.811067 7/5 0 24 8/5 1/0 1 3 -0.628272 In -0.673614 -0.582931 9/5 0 8 11/5 0 24 12/5 1/1 3 2 -0.410526 In -0.470689 -0.350363 13/5 0 24 14/5 1/1 1 12 -0.356869 In -0.370131 -0.343608 16/5 2/1 1 3 -0.311518 In -0.325121 -0.297916 17/5 0 24 18/5 1/1 2 4 -0.276662 In -0.305077 -0.248246 19/5 0 24 21/5 0 8 22/5 7/3 1 12 -0.225560 In -0.244207 -0.206913 23/5 0 24 24/5 2/1 5 1 -0.197842 In -0.254146 -0.141538 26/5 3/1 1 12 -0.192151 In -0.196854 -0.187448 27/5 0 8 28/5 0 6 29/5 0 24 31/5 0 24 32/5 2/1 1 3 -0.155802 In -0.168222 -0.143382 33/5 0 8 34/5 3/1 1 12 -0.146938 In -0.151686 -0.142190 36/5 3/1 3 2 -0.136842 In -0.156896 -0.116788 37/5 0 24 38/5 5/1 1 12 -0.131480 In -0.134083 -0.128877 39/5 0 8 41/5 0 24 42/5 1/1 2 4 -0.118798 In -0.133634 -0.103962 43/5 0 24 44/5 0 6 46/5 3/1 1 12 -0.108616 In -0.112847 -0.104385 47/5 0 24 48/5 0 1 49/5 0 24 -49/6 1/0 1 24 0.122451 In 0.121941 0.122961 -47/6 1/0 1 24 0.127662 In 0.127108 0.128216 -43/6 -1/2 1 24 0.139493 In 0.130661 0.148325 -41/6 1/0 1 24 0.146345 In 0.145616 0.147074 -37/6 -1/2 1 24 0.162106 In 0.151967 0.172246 -35/6 -1/2 1 24 0.171366 In 0.160702 0.182031 -31/6 1/0 1 24 0.193557 In 0.192282 0.194831 -29/6 -1/6 1 24 0.206610 In 0.165831 0.247388 -25/6 1/0 1 24 0.240016 In 0.238056 0.241976 -23/6 1/2 1 24 0.261048 In 0.240981 0.281114 -19/6 1/2 1 24 0.316057 In 0.291175 0.340939 -17/6 1/0 1 24 0.352992 In 0.348754 0.357231 -13/6 5/4 1 24 0.469362 In 0.369706 0.569019 -11/6 5/4 1 24 0.557138 In 0.431218 0.683058 -7/6 1/0 1 24 0.857872 In 0.832856 0.882888 -5/6 1/0 1 24 1.202003 In 1.152932 1.251075 -1/6 1/0 1 24 6.260870 In 4.982875 7.538864 1/6 1/0 1 24 -6.260870 In -7.538864 -4.982875 5/6 1/0 1 24 -1.202003 In -1.251075 -1.152932 7/6 1/0 1 24 -0.857872 In -0.882888 -0.832856 11/6 3/4 1 24 -0.543005 In -0.587003 -0.499007 13/6 3/4 1 24 -0.459600 In -0.500757 -0.418442 17/6 1/0 1 24 -0.352992 In -0.357231 -0.348754 19/6 3/2 1 24 -0.315425 In -0.326745 -0.304104 23/6 3/2 1 24 -0.260582 In -0.271394 -0.249770 25/6 1/0 1 24 -0.240016 In -0.241976 -0.238056 29/6 13/6 1 24 -0.204746 In -0.228244 -0.181249 31/6 1/0 1 24 -0.193557 In -0.194831 -0.192282 35/6 5/2 1 24 -0.171234 In -0.177905 -0.164563 37/6 5/2 1 24 -0.161981 In -0.168547 -0.155415 41/6 1/0 1 24 -0.146345 In -0.147074 -0.145616 43/6 5/2 1 24 -0.139388 In -0.145574 -0.133202 47/6 1/0 1 24 -0.127662 In -0.128216 -0.127108 49/6 1/0 1 24 -0.122451 In -0.122961 -0.121941 -50/7 -1/1 1 12 0.139971 In 0.135006 0.144937 -48/7 0 1 -47/7 0 24 -46/7 -1/1 1 12 0.152141 In 0.146820 0.157461 -45/7 0 8 -44/7 0/1 1 6 0.159091 In 0.149813 0.168369 -43/7 0 24 -41/7 0 24 -40/7 -1/1 2 3 0.174656 In 0.157809 0.191503 -39/7 0 8 -38/7 -1/1 1 12 0.184163 In 0.177966 0.190361 -37/7 0 24 -36/7 -1/1 1 2 0.194134 In 0.178305 0.209962 -34/7 -1/3 1 12 0.205681 In 0.181956 0.229406 -33/7 0 8 -32/7 0/1 2 3 0.218750 In 0.193234 0.244266 -31/7 0 24 -30/7 1/1 2 4 0.234019 In 0.204933 0.263105 -29/7 0 24 -27/7 0 8 -26/7 -1/1 1 12 0.269141 In 0.261026 0.277255 -25/7 0 24 -24/7 0/1 3 1 0.291667 In 0.219498 0.363835 -23/7 0 24 -22/7 1/1 1 12 0.318409 In 0.301109 0.335708 -20/7 0/1 1 6 0.350000 In 0.329588 0.370412 -19/7 0 24 -18/7 1/1 2 4 0.391036 In 0.336391 0.445681 -17/7 0 24 -16/7 0/1 2 3 0.437500 In 0.386469 0.488531 -15/7 0 8 -13/7 0 24 -12/7 1/1 1 2 0.588850 In 0.495226 0.682474 -11/7 0 24 -10/7 1/1 1 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