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 30 -49/1 1/0 1 30 0.020408 In 0.020332 0.020484 -48/1 0 30 -47/1 1/0 1 30 0.021277 In 0.021194 0.021360 -46/1 0 30 -45/1 1/0 1 30 0.022223 In 0.022132 0.022313 -44/1 0 30 -43/1 1/0 1 30 0.023256 In 0.023157 0.023355 -42/1 0 30 -41/1 1/0 1 30 0.024391 In 0.024282 0.024499 -40/1 0 30 -39/1 1/0 1 30 0.025642 In 0.025522 0.025762 -38/1 0 30 -37/1 1/0 1 30 0.027028 In 0.026894 0.027161 -36/1 0 30 -35/1 1/0 1 30 0.028572 In 0.028423 0.028721 -34/1 0 30 -33/1 1/0 1 30 0.030304 In 0.030136 0.030472 -32/1 0 30 -31/1 1/0 1 30 0.032259 In 0.032069 0.032449 -30/1 0 30 -29/1 1/0 1 30 0.034484 In 0.034267 0.034701 -28/1 0 30 -27/1 1/0 1 30 0.037039 In 0.036788 0.037289 -26/1 0 30 -25/1 1/0 1 30 0.040002 In 0.039710 0.040294 -24/1 0 30 -23/1 1/0 1 30 0.043481 In 0.043136 0.043826 -22/1 0 30 -21/1 1/0 1 30 0.047623 In 0.047209 0.048037 -20/1 0 30 -19/1 1/0 1 30 0.052636 In 0.052131 0.053142 -18/1 0 30 -17/1 1/0 1 30 0.058830 In 0.058198 0.059462 -16/1 0 30 -15/1 1/0 1 30 0.066677 In 0.065865 0.067488 -14/1 0 30 -13/1 1/0 1 30 0.076938 In 0.075858 0.078019 -12/1 0 30 -11/1 1/0 1 30 0.090934 In 0.089425 0.092443 -10/1 0 30 -9/1 1/0 1 30 0.111157 In 0.108902 0.113412 -8/1 0 30 -7/1 1/0 1 30 0.142954 In 0.139226 0.146683 -6/1 0 30 -5/1 1/0 1 30 0.200267 In 0.192954 0.207580 -4/1 0 30 -3/1 1/0 1 30 0.334572 In 0.314211 0.354934 -2/1 0 30 -1/1 1/0 1 30 1.034483 In 0.845613 1.223353 0/1 0 30 1/1 1/0 1 30 -1.034483 In -1.223353 -0.845613 2/1 0 30 3/1 1/0 1 30 -0.334572 In -0.354934 -0.314211 4/1 0 30 5/1 1/0 1 30 -0.200267 In -0.207580 -0.192954 6/1 0 30 7/1 1/0 1 30 -0.142954 In -0.146683 -0.139226 8/1 0 30 9/1 1/0 1 30 -0.111157 In -0.113412 -0.108902 10/1 0 30 11/1 1/0 1 30 -0.090934 In -0.092443 -0.089425 12/1 0 30 13/1 1/0 1 30 -0.076938 In -0.078019 -0.075858 14/1 0 30 15/1 1/0 1 30 -0.066677 In -0.067488 -0.065865 16/1 0 30 17/1 1/0 1 30 -0.058830 In -0.059462 -0.058198 18/1 0 30 19/1 1/0 1 30 -0.052636 In -0.053142 -0.052131 20/1 0 30 21/1 1/0 1 30 -0.047623 In -0.048037 -0.047209 22/1 0 30 23/1 1/0 1 30 -0.043481 In -0.043826 -0.043136 24/1 0 30 25/1 1/0 1 30 -0.040002 In -0.040294 -0.039710 26/1 0 30 27/1 1/0 1 30 -0.037039 In -0.037289 -0.036788 28/1 0 30 29/1 1/0 1 30 -0.034484 In -0.034701 -0.034267 30/1 0 30 31/1 1/0 1 30 -0.032259 In -0.032449 -0.032069 32/1 0 30 33/1 1/0 1 30 -0.030304 In -0.030472 -0.030136 34/1 0 30 35/1 1/0 1 30 -0.028572 In -0.028721 -0.028423 36/1 0 30 37/1 1/0 1 30 -0.027028 In -0.027161 -0.026894 38/1 0 30 39/1 1/0 1 30 -0.025642 In -0.025762 -0.025522 40/1 0 30 41/1 1/0 1 30 -0.024391 In -0.024499 -0.024282 42/1 0 30 43/1 1/0 1 30 -0.023256 In -0.023355 -0.023157 44/1 0 30 45/1 1/0 1 30 -0.022223 In -0.022313 -0.022132 46/1 0 30 47/1 1/0 1 30 -0.021277 In -0.021360 -0.021194 48/1 0 30 49/1 1/0 1 30 -0.020408 In -0.020484 -0.020332 50/1 0 30 -49/2 1/0 1 15 0.040817 In 0.040602 0.041033 -47/2 1/0 1 15 0.042554 In 0.042321 0.042788 -45/2 1/0 1 15 0.044446 In 0.044191 0.044701 -43/2 1/0 1 15 0.046513 In 0.046234 0.046793 -41/2 1/0 1 15 0.048782 In 0.048475 0.049090 -39/2 1/0 1 15 0.051284 In 0.050945 0.051624 -37/2 1/0 1 15 0.054057 In 0.053679 0.054434 -35/2 1/0 1 15 0.057146 In 0.056724 0.057568 -33/2 1/0 1 15 0.060610 In 0.060136 0.061084 -31/2 1/0 1 15 0.064521 In 0.063983 0.065058 -29/2 1/0 1 15 0.068971 In 0.068357 0.069585 -27/2 1/0 1 15 0.074081 In 0.073372 0.074789 -25/2 1/0 1 15 0.080009 In 0.079182 0.080835 -23/2 1/0 1 15 0.086967 In 0.085991 0.087944 -21/2 1/0 1 15 0.095252 In 0.094081 0.096424 -19/2 1/0 1 15 0.105283 In 0.103852 0.106713 -17/2 1/0 1 15 0.117674 In 0.115887 0.119461 -15/2 1/0 1 15 0.133373 In 0.131077 0.135669 -13/2 1/0 1 15 0.153907 In 0.150850 0.156964 -11/2 1/0 1 15 0.181918 In 0.177648 0.186189 -9/2 1/0 1 15 0.222405 In 0.216025 0.228786 -7/2 1/0 1 15 0.286104 In 0.275550 0.296657 -5/2 1/0 1 15 0.401070 In 0.380358 0.421781 -3/2 1/0 1 15 0.671642 In 0.613836 0.729448 -1/2 1/0 1 15 2.142857 In 1.589574 2.696140 1/2 1/0 1 15 -2.142857 In -2.696140 -1.589574 3/2 1/0 1 15 -0.671642 In -0.729448 -0.613836 5/2 1/0 1 15 -0.401070 In -0.421781 -0.380358 7/2 1/0 1 15 -0.286104 In -0.296657 -0.275550 9/2 1/0 1 15 -0.222405 In -0.228786 -0.216025 11/2 1/0 1 15 -0.181918 In -0.186189 -0.177648 13/2 1/0 1 15 -0.153907 In -0.156964 -0.150850 15/2 1/0 1 15 -0.133373 In -0.135669 -0.131077 17/2 1/0 1 15 -0.117674 In -0.119461 -0.115887 19/2 1/0 1 15 -0.105283 In -0.106713 -0.103852 21/2 1/0 1 15 -0.095252 In -0.096424 -0.094081 23/2 1/0 1 15 -0.086967 In -0.087944 -0.085991 25/2 1/0 1 15 -0.080009 In -0.080835 -0.079182 27/2 1/0 1 15 -0.074081 In -0.074789 -0.073372 29/2 1/0 1 15 -0.068971 In -0.069585 -0.068357 31/2 1/0 1 15 -0.064521 In -0.065058 -0.063983 33/2 1/0 1 15 -0.060610 In -0.061084 -0.060136 35/2 1/0 1 15 -0.057146 In -0.057568 -0.056724 37/2 1/0 1 15 -0.054057 In -0.054434 -0.053679 39/2 1/0 1 15 -0.051284 In -0.051624 -0.050945 41/2 1/0 1 15 -0.048782 In -0.049090 -0.048475 43/2 1/0 1 15 -0.046513 In -0.046793 -0.046234 45/2 1/0 1 15 -0.044446 In -0.044701 -0.044191 47/2 1/0 1 15 -0.042554 In -0.042788 -0.042321 49/2 1/0 1 15 -0.040817 In -0.041033 -0.040602 -50/3 1/1 1 10 0.060042 In 0.053338 0.066747 -49/3 0 10 -47/3 0 10 -46/3 1/1 1 10 0.065268 In 0.057945 0.072591 -44/3 1/1 1 10 0.068237 In 0.060560 0.075914 -43/3 0 10 -41/3 0 10 -40/3 1/1 1 10 0.075067 In 0.066568 0.083566 -38/3 1/1 1 10 0.079022 In 0.070043 0.088001 -37/3 0 10 -35/3 0 10 -34/3 1/1 1 10 0.088329 In 0.078207 0.098452 -32/3 1/1 1 10 0.093857 In 0.083047 0.104666 -31/3 0 10 -29/3 0 10 -28/3 1/1 1 10 0.107284 In 0.094779 0.119790 -26/3 1/1 1 10 0.115550 In 0.101982 0.129118 -25/3 0 10 -23/3 0 10 -22/3 1/1 1 10 0.136598 In 0.120261 0.152936 -20/3 1/1 1 10 0.150288 In 0.132100 0.168475 -19/3 0 10 -17/3 0 10 -16/3 1/1 1 10 0.187964 In 0.164485 0.211443 -14/3 1/1 1 10 0.214906 In 0.187464 0.242347 -13/3 0 10 -11/3 0 10 -10/3 1/1 1 10 0.301301 In 0.260151 0.342452 -8/3 1/1 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-0.061436 46/3 1/1 1 10 -0.065173 In -0.071600 -0.058747 47/3 0 10 49/3 0 10 50/3 1/1 1 10 -0.059962 In -0.065908 -0.054017 -49/4 0 15 -47/4 0 15 -45/4 0 15 -43/4 0 15 -41/4 0 15 -39/4 0 15 -37/4 0 15 -35/4 0 15 -33/4 0 15 -31/4 0 15 -29/4 0 15 -27/4 0 15 -25/4 0 15 -23/4 0 15 -21/4 0 15 -19/4 0 15 -17/4 0 15 -15/4 0 15 -13/4 0 15 -11/4 0 15 -9/4 0 15 -7/4 0 15 -5/4 0 15 -3/4 0 15 -1/4 0 15 1/4 0 15 3/4 0 15 5/4 0 15 7/4 0 15 9/4 0 15 11/4 0 15 13/4 0 15 15/4 0 15 17/4 0 15 19/4 0 15 21/4 0 15 23/4 0 15 25/4 0 15 27/4 0 15 29/4 0 15 31/4 0 15 33/4 0 15 35/4 0 15 37/4 0 15 39/4 0 15 41/4 0 15 43/4 0 15 45/4 0 15 47/4 0 15 49/4 0 15 -49/5 2/1 1 6 0.102208 In 0.092173 0.112243 -48/5 1/1 1 6 0.104247 In 0.094855 0.113638 -47/5 1/1 2 6 0.106550 In 0.092957 0.120143 -46/5 1/0 1 6 0.108704 In 0.107739 0.109669 -44/5 1/0 1 6 0.113646 In 0.112592 0.114701 -43/5 1/1 2 6 0.116480 In 0.101490 0.131471 -42/5 1/1 1 6 0.119153 In 0.108275 0.130032 -41/5 0/1 1 6 0.121951 In 0.111994 0.131908 -39/5 2/1 1 6 0.128481 In 0.115323 0.141638 -38/5 1/1 1 6 0.131710 In 0.119551 0.143868 -37/5 1/1 2 6 0.135412 In 0.117695 0.153129 -36/5 1/0 1 6 0.138907 In 0.137332 0.140482 -34/5 1/0 1 6 0.147080 In 0.145314 0.148846 -33/5 1/1 2 6 0.151868 In 0.131715 0.172020 -32/5 1/1 1 6 0.156438 In 0.141685 0.171192 -31/5 0/1 1 6 0.161290 In 0.148121 0.174460 -29/5 2/1 1 6 0.172947 In 0.154000 0.191894 -28/5 1/1 1 6 0.178822 In 0.161634 0.196010 -27/5 1/1 2 6 0.185727 In 0.160373 0.211082 -26/5 1/0 1 6 0.192355 In 0.189335 0.195375 -24/5 1/0 1 6 0.208394 In 0.204849 0.211938 -23/5 1/1 2 6 0.218159 In 0.187580 0.248737 -22/5 1/1 1 6 0.227695 In 0.204913 0.250478 -21/5 0/1 1 6 0.238095 In 0.218655 0.257536 -19/5 2/1 1 6 0.264570 In 0.231714 0.297426 -18/5 1/1 1 6 0.278435 In 0.249440 0.307431 -17/5 1/1 2 6 0.295612 In 0.251611 0.339613 -16/5 1/0 1 6 0.312704 In 0.304725 0.320682 -14/5 1/0 1 6 0.357447 In 0.347023 0.367870 -13/5 1/1 2 6 0.387352 In 0.325737 0.448966 -12/5 1/1 1 6 0.418308 In 0.370056 0.466560 -11/5 0/1 1 6 0.454545 In 0.417432 0.491659 -9/5 2/1 1 6 0.564315 In 0.467759 0.660872 -8/5 1/1 1 6 0.629243 In 0.546101 0.712385 -7/5 1/1 2 6 0.726027 In 0.583667 0.868388 -6/5 1/0 1 6 0.837209 In 0.780244 0.894174 -4/5 1/0 1 6 1.263158 In 1.134237 1.392078 -3/5 1/1 2 6 1.769231 In 1.236292 2.302169 -2/5 1/1 1 6 2.652174 In 1.906677 3.397671 -1/5 0/1 1 6 5.000000 In 4.591752 5.408248 1/5 2/1 1 6 -14.000000 In -25.022704 -2.977296 2/5 1/1 1 6 -2.565217 In -2.884716 -2.245719 3/5 1/1 2 6 -1.692308 In -1.825542 -1.559073 4/5 1/0 1 6 -1.263158 In -1.392078 -1.134237 6/5 1/0 1 6 -0.837209 In -0.894174 -0.780244 7/5 1/1 2 6 -0.712329 In -0.736055 -0.688602 8/5 1/1 1 6 -0.624021 In -0.643207 -0.604834 9/5 0/1 1 6 -0.555556 In -0.600916 -0.510195 11/5 2/1 1 6 -0.454294 In -0.457686 -0.450901 12/5 1/1 1 6 -0.415991 In -0.435859 -0.396122 13/5 1/1 2 6 -0.383399 In -0.410783 -0.356015 14/5 1/0 1 6 -0.357447 In -0.367870 -0.347023 16/5 1/0 1 6 -0.312704 In -0.320682 -0.304725 17/5 1/1 2 6 -0.293303 In -0.317303 -0.269302 18/5 1/1 1 6 -0.277406 In -0.293795 -0.261017 19/5 0/1 1 6 -0.263158 In -0.284645 -0.241671 21/5 2/1 1 6 -0.237699 In -0.247897 -0.227500 22/5 1/1 1 6 -0.227007 In -0.241351 -0.212662 23/5 1/1 2 6 -0.216898 In -0.236555 -0.197240 24/5 1/0 1 6 -0.208394 In -0.211938 -0.204849 26/5 1/0 1 6 -0.192355 In -0.195375 -0.189335 27/5 1/1 2 6 -0.184812 In -0.202244 -0.167381 28/5 1/1 1 6 -0.178397 In -0.190376 -0.166418 29/5 0/1 1 6 -0.172414 In -0.186491 -0.158336 31/5 2/1 1 6 -0.161055 In -0.169983 -0.152128 32/5 1/1 1 6 -0.156113 In -0.166879 -0.145347 33/5 1/1 2 6 -0.151255 In -0.166105 -0.136406 34/5 1/0 1 6 -0.147080 In -0.148846 -0.145314 36/5 1/0 1 6 -0.138907 In -0.140482 -0.137332 37/5 1/1 2 6 -0.134925 In -0.148423 -0.121426 38/5 1/1 1 6 -0.131479 In -0.140810 -0.122148 39/5 0/1 1 6 -0.128205 In -0.138673 -0.117737 41/5 2/1 1 6 -0.121801 In -0.129333 -0.114270 42/5 1/1 1 6 -0.118964 In -0.127528 -0.110401 43/5 1/1 2 6 -0.116120 In -0.127987 -0.104252 44/5 1/0 1 6 -0.113646 In -0.114701 -0.112592 46/5 1/0 1 6 -0.108704 In -0.109669 -0.107739 47/5 1/1 2 6 -0.106248 In -0.117227 -0.095269 48/5 1/1 1 6 -0.104102 In -0.111722 -0.096482 49/5 0/1 1 6 -0.102041 In -0.110372 -0.093709 -49/6 1/1 2 5 0.122636 In 0.108146 0.137126 -47/6 1/1 2 5 0.127864 In 0.112687 0.143041 -43/6 2/1 1 5 0.139812 In 0.126503 0.153120 -41/6 0/1 1 5 0.146341 In 0.135434 0.157249 -37/6 1/1 2 5 0.162502 In 0.142631 0.182373 -35/6 1/1 2 5 0.171811 In 0.150636 0.192986 -31/6 2/1 1 5 0.194126 In 0.174099 0.214153 -29/6 0/1 1 5 0.206897 In 0.191475 0.222318 -25/6 1/1 2 5 0.240794 In 0.209404 0.272184 -23/6 1/1 2 5 0.261824 In 0.227126 0.296521 -19/6 2/1 1 5 0.317601 In 0.279113 0.356090 -17/6 0/1 1 5 0.352941 In 0.326634 0.379248 -13/6 1/1 2 5 0.465006 In 0.393733 0.536279 -11/6 1/1 2 5 0.550580 In 0.461428 0.639733 -7/6 2/1 1 5 0.879668 In 0.703381 1.055956 -5/6 0/1 1 5 1.200000 In 1.110557 1.289443 -1/6 1/1 2 5 10.666667 In 3.288019 18.045315 1/6 1/1 2 5 -9.333333 In -14.603796 -4.062871 5/6 2/1 1 5 -1.223140 In -1.352500 -1.093781 7/6 0/1 1 5 -0.857143 In -0.921031 -0.793255 11/6 1/1 2 5 -0.543947 In -0.570168 -0.517726 13/6 1/1 2 5 -0.460261 In -0.486520 -0.434002 17/6 2/1 1 5 -0.352533 In -0.360292 -0.344774 19/6 0/1 1 5 -0.315789 In -0.339327 -0.292252 23/6 1/1 2 5 -0.260310 In -0.280650 -0.239970 25/6 1/1 2 5 -0.239513 In -0.258752 -0.220274 29/6 2/1 1 5 -0.206617 In -0.215666 -0.197569 31/6 0/1 1 5 -0.193548 In -0.207975 -0.179122 35/6 1/1 2 5 -0.171158 In -0.186135 -0.156181 37/6 1/1 2 5 -0.161917 In -0.176243 -0.147592 41/6 2/1 1 5 -0.146173 In -0.153892 -0.138454 43/6 0/1 1 5 -0.139535 In -0.149935 -0.129135 47/6 1/1 2 5 -0.127502 In -0.139242 -0.115761 49/6 1/1 2 5 -0.122303 In -0.133631 -0.110974 -50/7 0 30 -48/7 0 30 -47/7 1/0 1 30 0.148938 In 0.148360 0.149517 -46/7 0 30 -45/7 1/0 1 30 0.155558 In 0.154927 0.156189 -44/7 0 30 -43/7 1/0 1 30 0.162794 In 0.162102 0.163485 -41/7 1/0 1 30 0.170735 In 0.169975 0.171495 -40/7 0 30 -39/7 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