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 28 0.020000 In 0.016220 0.023780 -49/1 1/0 1 28 0.020408 In 0.020330 0.020487 -48/1 0/1 1 28 0.020833 In 0.016896 0.024770 -47/1 1/0 1 28 0.021277 In 0.021191 0.021362 -46/1 0/1 1 28 0.021739 In 0.017631 0.025847 -45/1 1/0 1 28 0.022223 In 0.022129 0.022316 -44/1 0/1 1 28 0.022727 In 0.018432 0.027022 -43/1 1/0 1 28 0.023256 In 0.023154 0.023358 -42/1 0/1 1 28 0.023810 In 0.019310 0.028309 -41/1 1/0 1 28 0.024391 In 0.024278 0.024503 -40/1 0/1 1 28 0.025000 In 0.020275 0.029725 -39/1 1/0 1 28 0.025642 In 0.025517 0.025766 -38/1 0/1 1 28 0.026316 In 0.021343 0.031289 -37/1 1/0 1 28 0.027028 In 0.026890 0.027166 -36/1 0/1 1 28 0.027778 In 0.022528 0.033027 -35/1 1/0 1 28 0.028572 In 0.028418 0.028727 -34/1 0/1 1 28 0.029412 In 0.023853 0.034970 -33/1 1/0 1 28 0.030304 In 0.030130 0.030478 -32/1 0/1 1 28 0.031250 In 0.025344 0.037156 -31/1 1/0 1 28 0.032259 In 0.032063 0.032456 -30/1 0/1 1 28 0.033333 In 0.027034 0.039633 -29/1 1/0 1 28 0.034484 In 0.034260 0.034709 -28/1 0/1 1 28 0.035714 In 0.028965 0.042464 -27/1 1/0 1 28 0.037039 In 0.036780 0.037298 -26/1 0/1 1 28 0.038462 In 0.031193 0.045730 -25/1 1/0 1 28 0.040002 In 0.039700 0.040305 -24/1 0/1 1 28 0.041667 In 0.033792 0.049541 -23/1 1/0 1 28 0.043481 In 0.043124 0.043838 -22/1 0/1 1 28 0.045455 In 0.036864 0.054045 -21/1 1/0 1 28 0.047623 In 0.047194 0.048051 -20/1 0/1 1 28 0.050000 In 0.040551 0.059449 -19/1 1/0 1 28 0.052637 In 0.052113 0.053160 -18/1 0/1 1 28 0.055556 In 0.045057 0.066055 -17/1 1/0 1 28 0.058831 In 0.058177 0.059485 -16/1 0/1 1 28 0.062500 In 0.050689 0.074311 -15/1 1/0 1 28 0.066677 In 0.065837 0.067517 -14/1 0/1 1 28 0.071429 In 0.057930 0.084927 -13/1 1/0 1 28 0.076939 In 0.075821 0.078058 -12/1 0/1 1 28 0.083333 In 0.067585 0.099082 -11/1 1/0 1 28 0.090936 In 0.089374 0.092498 -10/1 0/1 1 28 0.100000 In 0.081102 0.118898 -9/1 1/0 1 28 0.111160 In 0.108826 0.113494 -8/1 0/1 1 28 0.125000 In 0.101377 0.148623 -7/1 1/0 1 28 0.142961 In 0.139102 0.146821 -6/1 0/1 1 28 0.166667 In 0.135170 0.198164 -5/1 1/0 1 28 0.200286 In 0.192716 0.207856 -4/1 0/1 1 28 0.250000 In 0.202754 0.297246 -3/1 1/0 1 28 0.334661 In 0.313580 0.355743 -2/1 0/1 1 28 0.500000 In 0.405509 0.594491 -1/1 1/0 1 28 1.037037 In 0.841055 1.233019 0/1 0/1 1 28 1/1 1/0 1 28 -1.037037 In -1.233019 -0.841055 2/1 0/1 1 28 -0.500000 In -0.594491 -0.405509 3/1 1/0 1 28 -0.334661 In -0.355743 -0.313580 4/1 0/1 1 28 -0.250000 In -0.297246 -0.202754 5/1 1/0 1 28 -0.200286 In -0.207856 -0.192716 6/1 0/1 1 28 -0.166667 In -0.198164 -0.135170 7/1 1/0 1 28 -0.142961 In -0.146821 -0.139102 8/1 0/1 1 28 -0.125000 In -0.148623 -0.101377 9/1 1/0 1 28 -0.111160 In -0.113494 -0.108826 10/1 0/1 1 28 -0.100000 In -0.118898 -0.081102 11/1 1/0 1 28 -0.090936 In -0.092498 -0.089374 12/1 0/1 1 28 -0.083333 In -0.099082 -0.067585 13/1 1/0 1 28 -0.076939 In -0.078058 -0.075821 14/1 0/1 1 28 -0.071429 In -0.084927 -0.057930 15/1 1/0 1 28 -0.066677 In -0.067517 -0.065837 16/1 0/1 1 28 -0.062500 In -0.074311 -0.050689 17/1 1/0 1 28 -0.058831 In -0.059485 -0.058177 18/1 0/1 1 28 -0.055556 In -0.066055 -0.045057 19/1 1/0 1 28 -0.052637 In -0.053160 -0.052113 20/1 0/1 1 28 -0.050000 In -0.059449 -0.040551 21/1 1/0 1 28 -0.047623 In -0.048051 -0.047194 22/1 0/1 1 28 -0.045455 In -0.054045 -0.036864 23/1 1/0 1 28 -0.043481 In -0.043838 -0.043124 24/1 0/1 1 28 -0.041667 In -0.049541 -0.033792 25/1 1/0 1 28 -0.040002 In -0.040305 -0.039700 26/1 0/1 1 28 -0.038462 In -0.045730 -0.031193 27/1 1/0 1 28 -0.037039 In -0.037298 -0.036780 28/1 0/1 1 28 -0.035714 In -0.042464 -0.028965 29/1 1/0 1 28 -0.034484 In -0.034709 -0.034260 30/1 0/1 1 28 -0.033333 In -0.039633 -0.027034 31/1 1/0 1 28 -0.032259 In -0.032456 -0.032063 32/1 0/1 1 28 -0.031250 In -0.037156 -0.025344 33/1 1/0 1 28 -0.030304 In -0.030478 -0.030130 34/1 0/1 1 28 -0.029412 In -0.034970 -0.023853 35/1 1/0 1 28 -0.028572 In -0.028727 -0.028418 36/1 0/1 1 28 -0.027778 In -0.033027 -0.022528 37/1 1/0 1 28 -0.027028 In -0.027166 -0.026890 38/1 0/1 1 28 -0.026316 In -0.031289 -0.021343 39/1 1/0 1 28 -0.025642 In -0.025766 -0.025517 40/1 0/1 1 28 -0.025000 In -0.029725 -0.020275 41/1 1/0 1 28 -0.024391 In -0.024503 -0.024278 42/1 0/1 1 28 -0.023810 In -0.028309 -0.019310 43/1 1/0 1 28 -0.023256 In -0.023358 -0.023154 44/1 0/1 1 28 -0.022727 In -0.027022 -0.018432 45/1 1/0 1 28 -0.022223 In -0.022316 -0.022129 46/1 0/1 1 28 -0.021739 In -0.025847 -0.017631 47/1 1/0 1 28 -0.021277 In -0.021362 -0.021191 48/1 0/1 1 28 -0.020833 In -0.024770 -0.016896 49/1 1/0 1 28 -0.020408 In -0.020487 -0.020330 50/1 0/1 1 28 -0.020000 In -0.023780 -0.016220 -49/2 -1/1 1 14 0.040788 In 0.035556 0.046020 -47/2 1/1 1 14 0.042587 In 0.036658 0.048515 -45/2 -1/1 1 14 0.044411 In 0.038735 0.050086 -43/2 1/1 1 14 0.046552 In 0.040047 0.053057 -41/2 -1/1 1 14 0.048740 In 0.042539 0.054941 -39/2 1/1 1 14 0.051331 In 0.044127 0.058536 -37/2 -1/1 1 14 0.054005 In 0.047172 0.060838 -35/2 1/1 1 14 0.057205 In 0.049132 0.065277 -33/2 -1/1 1 14 0.060544 In 0.052936 0.068153 -31/2 1/1 1 14 0.064595 In 0.055417 0.073773 -29/2 -1/1 1 14 0.068886 In 0.060305 0.077467 -27/2 1/1 1 14 0.074179 In 0.063546 0.084812 -25/2 -1/1 1 14 0.079895 In 0.070059 0.089731 -23/2 1/1 1 14 0.087103 In 0.074471 0.099736 -21/2 -1/1 1 14 0.095092 In 0.083575 0.106608 -19/2 1/1 1 14 0.105482 In 0.089932 0.121032 -17/2 -1/1 1 14 0.117429 In 0.103554 0.131304 -15/2 1/1 1 14 0.133693 In 0.113494 0.153893 -13/2 -1/1 1 14 0.153488 In 0.136085 0.170891 -11/2 1/1 1 14 0.182516 In 0.153785 0.211247 -9/2 -1/1 1 14 0.221536 In 0.198419 0.244653 -7/2 1/1 1 14 0.287591 In 0.238431 0.336752 -5/2 -1/1 1 14 0.398281 In 0.366118 0.430444 -3/2 1/1 1 14 0.680000 In 0.530334 0.829666 -1/2 -1/1 1 14 2.076923 In 1.789103 2.364743 1/2 1/1 1 14 -2.076923 In -2.364743 -1.789103 3/2 -1/1 1 14 -0.680000 In -0.829666 -0.530334 5/2 1/1 1 14 -0.398281 In -0.430444 -0.366118 7/2 -1/1 1 14 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-0.040788 In -0.046020 -0.035556 -50/3 -2/1 1 28 0.059975 In 0.056649 0.063301 -49/3 -1/2 1 28 0.061196 In 0.053718 0.068673 -47/3 1/2 1 28 0.063863 In 0.055565 0.072162 -46/3 2/1 1 28 0.065256 In 0.060611 0.069900 -44/3 -2/1 1 28 0.068150 In 0.064440 0.071860 -43/3 -1/2 1 28 0.069730 In 0.061247 0.078214 -41/3 1/2 1 28 0.073215 In 0.063659 0.082771 -40/3 2/1 1 28 0.075051 In 0.069618 0.080485 -38/3 -2/1 1 28 0.078906 In 0.074717 0.083094 -37/3 -1/2 1 28 0.081031 In 0.071230 0.090832 -35/3 1/2 1 28 0.085775 In 0.074513 0.097037 -34/3 2/1 1 28 0.088308 In 0.081768 0.094848 -32/3 -2/1 1 28 0.093693 In 0.088894 0.098492 -31/3 -1/2 1 28 0.096703 In 0.085101 0.108306 -29/3 1/2 1 28 0.103538 In 0.089830 0.117246 -28/3 2/1 1 28 0.107254 In 0.099056 0.115451 -26/3 -2/1 1 28 0.115303 In 0.109711 0.120896 -25/3 -1/2 1 28 0.119893 In 0.105680 0.134105 -23/3 1/2 1 28 0.130579 In 0.113072 0.148085 -22/3 2/1 1 28 0.136552 In 0.125615 0.147488 -20/3 -2/1 1 28 0.149875 In 0.143258 0.156492 -19/3 -1/2 1 28 0.157712 In 0.139388 0.176037 -17/3 1/2 1 28 0.176740 In 0.152542 0.200938 -16/3 2/1 1 28 0.187884 In 0.171634 0.204134 -14/3 -2/1 1 28 0.214077 In 0.206358 0.221797 -13/3 -1/2 1 28 0.230395 In 0.204670 0.256120 -11/3 1/2 1 28 0.273398 In 0.234341 0.312456 -10/3 2/1 1 28 0.301144 In 0.270864 0.331425 -8/3 -2/1 1 28 0.374720 In 0.368801 0.380639 -7/3 -1/2 1 28 0.427425 In 0.384970 0.469881 -5/3 1/2 1 28 0.603720 In 0.505308 0.702131 -4/3 2/1 1 28 0.761261 In 0.642083 0.880439 -2/3 -2/1 1 28 1.537037 In 1.341055 1.733019 -1/3 -1/2 1 28 3.037037 In 2.841055 3.233019 1/3 1/2 1 28 -3.037037 In -3.233019 -2.841055 2/3 2/1 1 28 -1.537037 In -1.733019 -1.341055 4/3 -2/1 1 28 -0.761261 In -0.880439 -0.642083 5/3 -1/2 1 28 -0.603720 In -0.702131 -0.505308 7/3 1/2 1 28 -0.427425 In -0.469881 -0.384970 8/3 2/1 1 28 -0.374720 In -0.380639 -0.368801 10/3 -2/1 1 28 -0.301144 In -0.331425 -0.270864 11/3 -1/2 1 28 -0.273398 In -0.312456 -0.234341 13/3 1/2 1 28 -0.230395 In -0.256120 -0.204670 14/3 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-2/1 1 28 -0.065256 In -0.069900 -0.060611 47/3 -1/2 1 28 -0.063863 In -0.072162 -0.055565 49/3 1/2 1 28 -0.061196 In -0.068673 -0.053718 50/3 2/1 1 28 -0.059975 In -0.063301 -0.056649 -49/4 0/1 1 7 0.081633 In 0.073919 0.089346 -47/4 0/1 1 7 0.085106 In 0.077065 0.093148 -45/4 1/0 1 7 0.088895 In 0.088149 0.089642 -43/4 1/0 1 7 0.093030 In 0.092213 0.093848 -41/4 0/1 1 7 0.097561 In 0.088342 0.106780 -39/4 0/1 1 7 0.102564 In 0.092873 0.112255 -37/4 1/0 1 7 0.108119 In 0.107015 0.109224 -35/4 1/0 1 7 0.114299 In 0.113065 0.115533 -33/4 0/1 1 7 0.121212 In 0.109759 0.132666 -31/4 0/1 1 7 0.129032 In 0.116840 0.141225 -29/4 1/0 1 7 0.137954 In 0.136156 0.139752 -27/4 1/0 1 7 0.148177 In 0.146103 0.150251 -25/4 0/1 1 7 0.160000 In 0.144881 0.175119 -23/4 0/1 1 7 0.173913 In 0.157480 0.190346 -21/4 1/0 1 7 0.190538 In 0.187109 0.193967 -19/4 1/0 1 7 0.210610 In 0.206420 0.214799 -17/4 0/1 1 7 0.235294 In 0.213061 0.257527 -15/4 0/1 1 7 0.266667 In 0.241469 0.291864 -13/4 1/0 1 7 0.307953 In 0.298999 0.316906 -11/4 1/0 1 7 0.364066 In 0.351557 0.376576 -9/4 0/1 1 7 0.444444 In 0.402448 0.486440 -7/4 0/1 1 7 0.571429 In 0.517434 0.625423 -5/4 1/0 1 7 0.804598 In 0.743776 0.865420 -3/4 1/0 1 7 1.354839 In 1.184145 1.525532 -1/4 0/1 1 7 4.000000 In 3.622036 4.377964 1/4 0/1 1 7 -4.000000 In -4.377964 -3.622036 3/4 1/0 1 7 -1.354839 In -1.525532 -1.184145 5/4 1/0 1 7 -0.804598 In -0.865420 -0.743776 7/4 0/1 1 7 -0.571429 In -0.625423 -0.517434 9/4 0/1 1 7 -0.444444 In -0.486440 -0.402448 11/4 1/0 1 7 -0.364066 In -0.376576 -0.351557 13/4 1/0 1 7 -0.307953 In -0.316906 -0.298999 15/4 0/1 1 7 -0.266667 In -0.291864 -0.241469 17/4 0/1 1 7 -0.235294 In -0.257527 -0.213061 19/4 1/0 1 7 -0.210610 In -0.214799 -0.206420 21/4 1/0 1 7 -0.190538 In -0.193967 -0.187109 23/4 0/1 1 7 -0.173913 In -0.190346 -0.157480 25/4 0/1 1 7 -0.160000 In -0.175119 -0.144881 27/4 1/0 1 7 -0.148177 In -0.150251 -0.146103 29/4 1/0 1 7 -0.137954 In -0.139752 -0.136156 31/4 0/1 1 7 -0.129032 In -0.141225 -0.116840 33/4 0/1 1 7 -0.121212 In -0.132666 -0.109759 35/4 1/0 1 7 -0.114299 In -0.115533 -0.113065 37/4 1/0 1 7 -0.108119 In -0.109224 -0.107015 39/4 0/1 1 7 -0.102564 In -0.112255 -0.092873 41/4 0/1 1 7 -0.097561 In -0.106780 -0.088342 43/4 1/0 1 7 -0.093030 In -0.093848 -0.092213 45/4 1/0 1 7 -0.088895 In -0.089642 -0.088149 47/4 0/1 1 7 -0.085106 In -0.093148 -0.077065 49/4 0/1 1 7 -0.081633 In -0.089346 -0.073919 -49/5 1/0 1 28 0.102042 In 0.101649 0.102436 -48/5 0/1 1 28 0.104167 In 0.100230 0.108104 -47/5 1/0 1 28 0.106385 In 0.105957 0.106812 -46/5 0/1 1 28 0.108696 In 0.104587 0.112804 -44/5 0/1 1 28 0.113636 In 0.109341 0.117931 -43/5 1/0 1 28 0.116281 In 0.115770 0.116792 -42/5 0/1 1 28 0.119048 In 0.114548 0.123547 -41/5 1/0 1 28 0.121954 In 0.121392 0.122516 -39/5 1/0 1 28 0.128208 In 0.127587 0.128829 -38/5 0/1 1 28 0.131579 In 0.126606 0.136552 -37/5 1/0 1 28 0.135139 In 0.134448 0.135829 -36/5 0/1 1 28 0.138889 In 0.133639 0.144138 -34/5 0/1 1 28 0.147059 In 0.141501 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