SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 20 -50/1 2/1 1 2 0.020416 In 0.005697 0.035136 -49/1 1/0 1 20 0.020409 In 0.020315 0.020502 -48/1 0 5 -47/1 1/2 1 20 0.021322 In 0.011706 0.030939 -46/1 1/1 1 10 0.021787 In 0.014763 0.028812 -45/1 2/1 1 4 0.022480 In 0.010870 0.034091 -44/1 0 5 -43/1 1/0 1 20 0.023256 In 0.023136 0.023377 -42/1 1/1 1 10 0.023868 In 0.016159 0.031577 -41/1 1/0 1 20 0.024391 In 0.024258 0.024524 -40/1 0 1 -39/1 1/0 1 20 0.025642 In 0.025495 0.025789 -38/1 1/1 1 10 0.026387 In 0.017845 0.034928 -37/1 1/0 1 20 0.027028 In 0.026865 0.027191 -36/1 0 5 -35/1 0/1 1 4 0.028571 In 0.014286 0.042857 -34/1 1/1 1 10 0.029501 In 0.019926 0.039076 -33/1 3/2 1 20 0.030591 In 0.016417 0.044765 -32/1 0 5 -31/1 1/0 1 20 0.032260 In 0.032027 0.032492 -30/1 0/1 1 2 0.033333 In 0.009763 0.056904 -29/1 1/2 1 20 0.034604 In 0.018916 0.050292 -28/1 0 5 -27/1 1/2 1 20 0.037177 In 0.020305 0.054048 -26/1 1/1 1 10 0.038615 In 0.025983 0.051247 -25/1 2/3 1 4 0.042468 In -0.019231 0.104167 -24/1 0 5 -23/1 5/6 1 20 0.046423 In -0.014165 0.107012 -22/1 1/1 1 10 0.045671 In 0.030640 0.060701 -21/1 15/16 1 20 0.076789 In -0.105843 0.259421 -20/1 1/1 16 1 0.093750 In -0.125000 0.312500 -19/1 17/16 1 20 0.094070 In -0.113051 0.301191 -18/1 1/1 1 10 0.055881 In 0.037331 0.074431 -17/1 7/6 1 20 0.066655 In -0.018402 0.151712 -16/1 0 5 -15/1 4/3 1 4 0.081448 In -0.029412 0.192308 -14/1 1/1 1 10 0.071975 In 0.047762 0.096189 -13/1 3/2 1 20 0.078908 In 0.040435 0.117381 -12/1 0 5 -11/1 3/2 1 20 0.093737 In 0.047365 0.140109 -10/1 2/1 1 2 0.112245 In 0.025660 0.198829 -9/1 1/0 1 20 0.111180 In 0.108417 0.113942 -8/1 0 5 -7/1 1/2 1 20 0.145046 In 0.076525 0.213567 -6/1 1/1 1 10 0.169916 In 0.108256 0.231576 -5/1 2/1 1 4 0.229167 In 0.083333 0.375000 -4/1 0 5 -3/1 1/0 1 20 0.335196 In 0.310212 0.360180 -2/1 1/1 1 10 0.538462 In 0.295209 0.781714 -1/1 1/0 1 20 1.052632 In 0.817256 1.288007 0/1 0 1 1/1 1/0 1 20 -1.052632 In -1.288007 -0.817256 2/1 1/1 1 10 -0.487179 In -0.568264 -0.406095 3/1 1/0 1 20 -0.335196 In -0.360180 -0.310212 4/1 0 5 5/1 0/1 1 4 -0.200000 In -0.300000 -0.100000 6/1 1/1 1 10 -0.164345 In -0.208388 -0.120303 7/1 3/2 1 20 -0.138002 In -0.188665 -0.087339 8/1 0 5 9/1 1/0 1 20 -0.111180 In -0.113942 -0.108417 10/1 0/1 1 2 -0.100000 In -0.170711 -0.029289 11/1 1/2 1 20 -0.090120 In -0.128944 -0.051296 12/1 0 5 13/1 1/2 1 20 -0.076354 In -0.109442 -0.043266 14/1 1/1 1 10 -0.070955 In -0.091940 -0.049970 15/1 2/3 1 4 -0.060268 In -0.156250 0.035714 16/1 0 5 17/1 5/6 1 20 -0.053866 In -0.129244 0.021511 18/1 1/1 1 10 -0.055264 In -0.071861 -0.038667 19/1 15/16 1 20 -0.020014 In -0.204782 0.164753 20/1 1/1 16 1 -0.010417 In -0.208333 0.187500 21/1 17/16 1 20 -0.017348 In -0.184575 0.149878 22/1 1/1 1 10 -0.045257 In -0.058981 -0.031534 23/1 7/6 1 20 -0.039692 In -0.095323 0.015939 24/1 0 5 25/1 4/3 1 4 -0.035427 In -0.092593 0.021739 26/1 1/1 1 10 -0.038319 In -0.050016 -0.026623 27/1 3/2 1 20 -0.036648 In -0.052301 -0.020995 28/1 0 5 29/1 3/2 1 20 -0.034144 In -0.048776 -0.019513 30/1 2/1 1 2 -0.032294 In -0.054342 -0.010246 31/1 1/0 1 20 -0.032260 In -0.032492 -0.032027 32/1 0 5 33/1 1/2 1 20 -0.030213 In -0.043560 -0.016865 34/1 1/1 1 10 -0.029328 In -0.038356 -0.020300 35/1 2/1 1 4 -0.028186 In -0.041667 -0.014706 36/1 0 5 37/1 1/0 1 20 -0.027028 In -0.027191 -0.026865 38/1 1/1 1 10 -0.026248 In -0.034352 -0.018145 39/1 1/0 1 20 -0.025642 In -0.025789 -0.025495 40/1 0 1 41/1 1/0 1 20 -0.024391 In -0.024524 -0.024258 42/1 1/1 1 10 -0.023754 In -0.031105 -0.016404 43/1 1/0 1 20 -0.023256 In -0.023377 -0.023136 44/1 0 5 45/1 0/1 1 4 -0.022222 In -0.033333 -0.011111 46/1 1/1 1 10 -0.021693 In -0.028418 -0.014968 47/1 3/2 1 20 -0.021145 In -0.030358 -0.011932 48/1 0 5 49/1 1/0 1 20 -0.020409 In -0.020502 -0.020315 50/1 0/1 1 2 -0.020000 In -0.034142 -0.005858 -49/2 0 20 -47/2 0 20 -45/2 1/1 1 4 0.044573 In 0.032967 0.056180 -43/2 0 20 -41/2 0 20 -39/2 0 20 -37/2 0 20 -35/2 1/1 1 4 0.057359 In 0.042254 0.072464 -33/2 0 20 -31/2 0 20 -29/2 0 20 -27/2 0 20 -25/2 1/1 1 4 0.080432 In 0.058824 0.102041 -23/2 0 20 -21/2 0 20 -19/2 0 20 -17/2 0 20 -15/2 1/1 1 4 0.134594 In 0.096774 0.172414 -13/2 0 20 -11/2 0 20 -9/2 0 20 -7/2 0 20 -5/2 1/1 1 4 0.414141 In 0.272727 0.555556 -3/2 0 20 -1/2 0 20 1/2 0 20 3/2 0 20 5/2 1/1 1 4 -0.393939 In -0.454545 -0.333333 7/2 0 20 9/2 0 20 11/2 0 20 13/2 0 20 15/2 1/1 1 4 -0.132369 In -0.161290 -0.103448 17/2 0 20 19/2 0 20 21/2 0 20 23/2 0 20 25/2 1/1 1 4 -0.079632 In -0.098039 -0.061224 27/2 0 20 29/2 0 20 31/2 0 20 33/2 0 20 35/2 1/1 1 4 -0.056950 In -0.070423 -0.043478 37/2 0 20 39/2 0 20 41/2 0 20 43/2 0 20 45/2 1/1 1 4 -0.044326 In -0.054945 -0.033708 47/2 0 20 49/2 0 20 -50/3 6/5 1 2 0.066479 In -0.009873 0.142830 -49/3 5/4 1 20 0.061673 In 0.042012 0.081334 -47/3 7/6 1 20 0.064852 In 0.034147 0.095558 -46/3 9/7 1 10 0.068457 In 0.016100 0.120814 -44/3 4/3 1 5 0.069536 In 0.036218 0.102855 -43/3 3/2 1 20 0.069947 In 0.058455 0.081438 -41/3 3/2 1 20 0.073369 In 0.061261 0.085477 -40/3 0 1 -38/3 5/3 1 10 0.080125 In 0.051826 0.108424 -37/3 3/2 1 20 0.081327 In 0.067766 0.094888 -35/3 1/1 2 4 0.086158 In 0.064214 0.108101 -34/3 1/1 1 10 0.088329 In 0.078207 0.098452 -32/3 2/1 1 5 0.094214 In 0.077605 0.110823 -31/3 3/2 1 20 0.097132 In 0.080604 0.113660 -29/3 1/0 1 20 0.103454 In 0.102657 0.104252 -28/3 2/1 1 5 0.107763 In 0.088349 0.127177 -26/3 3/1 1 10 0.115983 In 0.099588 0.132377 -25/3 1/1 2 4 0.120897 In 0.089193 0.152600 -23/3 1/0 1 20 0.130447 In 0.129179 0.131715 -22/3 1/1 1 10 0.136598 In 0.120261 0.152936 -20/3 1/1 8 1 0.173469 In 0.007516 0.339423 -19/3 13/10 1 20 0.180116 In 0.034872 0.325361 -17/3 3/2 1 20 0.177785 In 0.144463 0.211108 -16/3 2/1 1 5 0.189655 In 0.151102 0.228208 -14/3 3/1 1 10 0.216812 In 0.179532 0.254091 -13/3 1/0 1 20 0.230838 In 0.226867 0.234808 -11/3 1/0 1 20 0.272840 In 0.267294 0.278386 -10/3 2/1 1 2 0.316327 In 0.200881 0.431773 -8/3 0/1 1 5 0.375000 In 0.319098 0.430902 -7/3 5/2 1 20 0.450262 In 0.314459 0.586065 -5/3 1/1 2 4 0.632653 In 0.401761 0.863545 -4/3 2/1 1 5 0.815789 In 0.521570 1.110009 -2/3 1/1 1 10 1.564103 In 1.158682 1.969523 -1/3 1/0 1 20 3.157895 In 2.451768 3.864021 1/3 1/0 1 20 -3.157895 In -3.864021 -2.451768 2/3 1/1 1 10 -1.512821 In -1.593905 -1.431736 4/3 0/1 1 5 -0.750000 In -0.861803 -0.638197 5/3 1/1 2 4 -0.591837 In -0.649560 -0.534114 7/3 -1/2 1 20 -0.431052 In -0.508709 -0.353395 8/3 2/1 1 5 -0.373418 In -0.387570 -0.359265 10/3 0/1 1 2 -0.300000 In -0.370711 -0.229289 11/3 1/0 1 20 -0.272840 In -0.278386 -0.267294 13/3 1/0 1 20 -0.230838 In -0.234808 -0.226867 14/3 -1/1 1 10 -0.214906 In -0.242347 -0.187464 16/3 0/1 1 5 -0.187500 In -0.215451 -0.159549 17/3 1/2 1 20 -0.176155 In -0.200145 -0.152165 19/3 7/10 1 20 -0.149212 In -0.254608 -0.043817 20/3 1/1 8 1 -0.132653 In -0.255314 -0.009992 22/3 1/1 1 10 -0.136185 In -0.148602 -0.123769 23/3 1/0 1 20 -0.130447 In -0.131715 -0.129179 25/3 1/1 2 4 -0.119295 In -0.144206 -0.094385 26/3 -1/1 1 10 -0.115550 In -0.129118 -0.101982 28/3 0/1 1 5 -0.107143 In -0.123115 -0.091171 29/3 1/0 1 20 -0.103454 In -0.104252 -0.102657 31/3 1/2 1 20 -0.096675 In -0.110404 -0.082946 32/3 0/1 1 5 -0.093750 In -0.107725 -0.079775 34/3 1/1 1 10 -0.088156 In -0.096637 -0.079676 35/3 1/1 2 4 -0.085341 In -0.103820 -0.066862 37/3 1/2 1 20 -0.081011 In -0.092608 -0.069414 38/3 1/3 1 10 -0.078745 In -0.103055 -0.054435 40/3 0 1 41/3 1/2 1 20 -0.073113 In -0.083622 -0.062605 43/3 1/2 1 20 -0.069715 In -0.079753 -0.059677 44/3 2/3 1 5 -0.067590 In -0.096708 -0.038472 46/3 5/7 1 10 -0.063639 In -0.109573 -0.017704 47/3 5/6 1 20 -0.063187 In -0.090229 -0.036144 49/3 3/4 1 20 -0.060986 In -0.078405 -0.043567 50/3 4/5 1 2 -0.056180 In -0.123712 0.011353 -49/4 0 20 -47/4 0 20 -45/4 3/2 1 4 0.089729 In 0.064516 0.114943 -43/4 0 20 -41/4 0 20 -39/4 0 20 -37/4 0 20 -35/4 1/0 1 4 0.114309 In 0.112676 0.115942 -33/4 0 20 -31/4 0 20 -29/4 0 20 -27/4 0 20 -25/4 3/2 1 4 0.162987 In 0.113208 0.212766 -23/4 0 20 -21/4 0 20 -19/4 0 20 -17/4 0 20 -15/4 1/0 1 4 0.266963 In 0.258065 0.275862 -13/4 0 20 -11/4 0 20 -9/4 0 20 -7/4 0 20 -5/4 1/0 1 4 0.808081 In 0.727273 0.888889 -3/4 0 20 -1/4 0 20 1/4 0 20 3/4 0 20 5/4 1/0 1 4 -0.808081 In -0.888889 -0.727273 7/4 0 20 9/4 0 20 11/4 0 20 13/4 0 20 15/4 1/0 1 4 -0.266963 In -0.275862 -0.258065 17/4 0 20 19/4 0 20 21/4 0 20 23/4 0 20 25/4 1/2 1 4 -0.159264 In -0.196078 -0.122449 27/4 0 20 29/4 0 20 31/4 0 20 33/4 0 20 35/4 1/0 1 4 -0.114309 In -0.115942 -0.112676 37/4 0 20 39/4 0 20 41/4 0 20 43/4 0 20 45/4 1/2 1 4 -0.088653 In -0.109890 -0.067416 47/4 0 20 49/4 0 20 -49/5 5/2 1 20 0.102302 In 0.090841 0.113763 -48/5 2/1 1 5 0.104377 In 0.093115 0.115638 -47/5 9/4 1 20 0.107395 In 0.083766 0.131024 -46/5 3/1 1 10 0.108884 In 0.099764 0.118004 -44/5 2/1 1 5 0.113890 In 0.101411 0.126369 -43/5 1/0 1 20 0.116282 In 0.115678 0.116887 -42/5 1/3 1 10 0.119224 In 0.095739 0.142710 -41/5 1/0 1 20 0.121955 In 0.121290 0.122620 -39/5 1/0 1 20 0.128209 In 0.127474 0.128944 -38/5 1/3 1 10 0.131796 In 0.105734 0.157858 -37/5 1/0 1 20 0.135140 In 0.134323 0.135957 -36/5 0/1 1 5 0.138889 In 0.126466 0.151311 -34/5 1/1 1 10 0.147158 In 0.136489 0.157828 -33/5 15/14 1 20 0.162839 In 0.051425 0.274254 -32/5 6/5 1 5 0.163257 In 0.079691 0.246824 -31/5 3/2 1 20 0.161678 In 0.143753 0.179603 -29/5 3/2 1 20 0.172863 In 0.153443 0.192283 -28/5 4/3 1 5 0.182377 In 0.122810 0.241944 -27/5 3/2 1 20 0.185711 In 0.164534 0.206889 -26/5 1/1 1 10 0.192484 In 0.177980 0.206988 -24/5 2/1 1 5 0.209318 In 0.182884 0.235753 -23/5 1/0 1 20 0.217412 In 0.215298 0.219526 -22/5 1/1 1 10 0.227526 In 0.209882 0.245171 -21/5 9/4 1 20 0.244422 In 0.178407 0.310437 -19/5 9/4 1 20 0.271186 In 0.195388 0.346985 -18/5 1/1 1 10 0.278172 In 0.255717 0.300627 -17/5 3/2 1 20 0.295616 In 0.257644 0.333588 -16/5 2/1 1 5 0.315047 In 0.269485 0.360610 -14/5 -1/1 1 10 0.356815 In 0.342287 0.371343 -13/5 1/2 1 20 0.385321 In 0.344292 0.426350 -12/5 2/1 1 5 0.421788 In 0.353082 0.490494 -11/5 1/0 1 20 0.454733 In 0.445490 0.463977 -9/5 1/0 1 20 0.555899 In 0.542087 0.569710 -8/5 2/1 1 5 0.639241 In 0.511870 0.766611 -7/5 1/0 1 20 0.715015 In 0.692175 0.737856 -6/5 1/1 1 10 0.838440 In 0.741546 0.935334 -4/5 0/1 1 5 1.250000 In 1.138197 1.361803 -3/5 1/0 1 20 1.675978 In 1.551058 1.800898 -2/5 1/1 1 10 2.589744 In 2.022155 3.157332 -1/5 1/0 1 20 5.263158 In 4.086280 6.440036 1/5 1/0 1 20 -5.263158 In -6.440036 -4.086280 2/5 1/1 1 10 -2.538462 In -2.781714 -2.295209 3/5 1/0 1 20 -1.675978 In -1.800898 -1.551058 4/5 2/1 1 5 -1.289474 In -1.466005 -1.112942 6/5 1/1 1 10 -0.832869 In -0.841678 -0.824061 7/5 1/0 1 20 -0.715015 In -0.737856 -0.692175 8/5 0/1 1 5 -0.625000 In -0.680902 -0.569098 9/5 1/0 1 20 -0.555899 In -0.569710 -0.542087 11/5 1/0 1 20 -0.454733 In -0.463977 -0.445490 12/5 0/1 1 5 -0.416667 In -0.453934 -0.379399 13/5 3/2 1 20 -0.383862 In -0.398456 -0.369269 14/5 3/1 1 10 -0.357253 In -0.358874 -0.355632 16/5 0/1 1 5 -0.312500 In -0.340451 -0.284549 17/5 1/2 1 20 -0.293822 In -0.316264 -0.271381 18/5 1/1 1 10 -0.277555 In -0.290247 -0.264863 19/5 -1/4 1 20 -0.263748 In -0.313928 -0.213569 21/5 -1/4 1 20 -0.238576 In -0.283708 -0.193444 22/5 1/1 1 10 -0.227113 In -0.238223 -0.216004 23/5 1/0 1 20 -0.217412 In -0.219526 -0.215298 24/5 0/1 1 5 -0.208333 In -0.226967 -0.189699 26/5 1/1 1 10 -0.192188 In -0.202013 -0.182363 27/5 1/2 1 20 -0.185061 In -0.200092 -0.170030 28/5 2/3 1 5 -0.177222 In -0.219476 -0.134967 29/5 1/2 1 20 -0.172305 In -0.186398 -0.158213 31/5 1/2 1 20 -0.161195 In -0.174458 -0.147931 32/5 4/5 1 5 -0.152821 In -0.214155 -0.091487 33/5 13/14 1 20 -0.144278 In -0.226433 -0.062124 34/5 1/1 1 10 -0.146985 In -0.154919 -0.139051 36/5 2/1 1 5 -0.138666 In -0.147643 -0.129688 37/5 1/0 1 20 -0.135140 In -0.135957 -0.134323 38/5 5/3 1 10 -0.130767 In -0.150291 -0.111242 39/5 1/0 1 20 -0.128209 In -0.128944 -0.127474 41/5 1/0 1 20 -0.121955 In -0.122620 -0.121290 42/5 5/3 1 10 -0.118365 In -0.136497 -0.100233 43/5 1/0 1 20 -0.116282 In -0.116887 -0.115678 44/5 0/1 1 5 -0.113636 In -0.123800 -0.103472 46/5 -1/1 1 10 -0.108748 In -0.116370 -0.101126 47/5 -1/4 1 20 -0.106476 In -0.126013 -0.086939 48/5 0/1 1 5 -0.104167 In -0.113484 -0.094850 49/5 -1/2 1 20 -0.102085 In -0.111677 -0.092492 -49/6 0 20 -47/6 0 20 -43/6 0 20 -41/6 0 20 -37/6 0 20 -35/6 3/2 1 4 0.172971 In 0.136986 0.208955 -31/6 0 20 -29/6 0 20 -25/6 1/0 1 4 0.240096 In 0.235294 0.244898 -23/6 0 20 -19/6 0 20 -17/6 0 20 -13/6 0 20 -11/6 0 20 -7/6 0 20 -5/6 1/0 1 4 1.212121 In 1.090909 1.333333 -1/6 0 20 1/6 0 20 5/6 1/0 1 4 -1.212121 In -1.333333 -1.090909 7/6 0 20 11/6 0 20 13/6 0 20 17/6 0 20 19/6 0 20 23/6 0 20 25/6 1/0 1 4 -0.240096 In -0.244898 -0.235294 29/6 0 20 31/6 0 20 35/6 1/2 1 4 -0.171055 In -0.197183 -0.144928 37/6 0 20 41/6 0 20 43/6 0 20 47/6 0 20 49/6 0 20 -50/7 1/1 2 2 0.140456 In 0.117647 0.163265 -48/7 0 5 -47/7 17/18 1 20 0.156889 In 0.058563 0.255214 -46/7 1/1 1 10 0.152228 In 0.144307 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