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 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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 0/1 1 28 0.060000 In 0.056220 0.063780 -49/3 1/0 1 28 0.061225 In 0.060989 0.061462 -47/3 1/0 1 28 0.063831 In 0.063574 0.064087 -46/3 0/1 1 28 0.065217 In 0.061109 0.069326 -44/3 0/1 1 28 0.068182 In 0.063887 0.072477 -43/3 1/0 1 28 0.069769 In 0.069462 0.070075 -41/3 1/0 1 28 0.073172 In 0.072835 0.073510 -40/3 0/1 1 28 0.075000 In 0.070275 0.079725 -38/3 0/1 1 28 0.078947 In 0.073974 0.083921 -37/3 1/0 1 28 0.081083 In 0.080669 0.081497 -35/3 1/0 1 28 0.085717 In 0.085254 0.086180 -34/3 0/1 1 28 0.088235 In 0.082677 0.093794 -32/3 0/1 1 28 0.093750 In 0.087844 0.099656 -31/3 1/0 1 28 0.096778 In 0.096188 0.097368 -29/3 1/0 1 28 0.103453 In 0.102779 0.104127 -28/3 0/1 1 28 0.107143 In 0.100393 0.113892 -26/3 0/1 1 28 0.115385 In 0.108116 0.122653 -25/3 1/0 1 28 0.120007 In 0.119100 0.120914 -23/3 1/0 1 28 0.130444 In 0.129372 0.131515 -22/3 0/1 1 28 0.136364 In 0.127774 0.144954 -20/3 0/1 1 28 0.150000 In 0.140551 0.159449 -19/3 1/0 1 28 0.157910 In 0.156340 0.159481 -17/3 1/0 1 28 0.176492 In 0.174530 0.178454 -16/3 0/1 1 28 0.187500 In 0.175689 0.199311 -14/3 0/1 1 28 0.214286 In 0.200787 0.227784 -13/3 1/0 1 28 0.230818 In 0.227463 0.234173 -11/3 1/0 1 28 0.272808 In 0.268121 0.277495 -10/3 0/1 1 28 0.300000 In 0.281102 0.318898 -8/3 0/1 1 28 0.375000 In 0.351377 0.398623 -7/3 1/0 1 28 0.428884 In 0.417305 0.440463 -5/3 1/0 1 28 0.600858 In 0.578148 0.623569 -4/3 0/1 1 28 0.750000 In 0.702754 0.797246 -2/3 0/1 1 28 1.500000 In 1.405509 1.594491 -1/3 1/0 1 28 3.111111 In 2.523166 3.699056 1/3 1/0 1 28 -3.111111 In -3.699056 -2.523166 2/3 0/1 1 28 -1.500000 In -1.594491 -1.405509 4/3 0/1 1 28 -0.750000 In -0.797246 -0.702754 5/3 1/0 1 28 -0.600858 In -0.623569 -0.578148 7/3 1/0 1 28 -0.428884 In -0.440463 -0.417305 8/3 0/1 1 28 -0.375000 In -0.398623 -0.351377 10/3 0/1 1 28 -0.300000 In -0.318898 -0.281102 11/3 1/0 1 28 -0.272808 In -0.277495 -0.268121 13/3 1/0 1 28 -0.230818 In -0.234173 -0.227463 14/3 0/1 1 28 -0.214286 In -0.227784 -0.200787 16/3 0/1 1 28 -0.187500 In -0.199311 -0.175689 17/3 1/0 1 28 -0.176492 In -0.178454 -0.174530 19/3 1/0 1 28 -0.157910 In -0.159481 -0.156340 20/3 0/1 1 28 -0.150000 In -0.159449 -0.140551 22/3 0/1 1 28 -0.136364 In -0.144954 -0.127774 23/3 1/0 1 28 -0.130444 In -0.131515 -0.129372 25/3 1/0 1 28 -0.120007 In -0.120914 -0.119100 26/3 0/1 1 28 -0.115385 In -0.122653 -0.108116 28/3 0/1 1 28 -0.107143 In -0.113892 -0.100393 29/3 1/0 1 28 -0.103453 In -0.104127 -0.102779 31/3 1/0 1 28 -0.096778 In -0.097368 -0.096188 32/3 0/1 1 28 -0.093750 In -0.099656 -0.087844 34/3 0/1 1 28 -0.088235 In -0.093794 -0.082677 35/3 1/0 1 28 -0.085717 In -0.086180 -0.085254 37/3 1/0 1 28 -0.081083 In -0.081497 -0.080669 38/3 0/1 1 28 -0.078947 In -0.083921 -0.073974 40/3 0/1 1 28 -0.075000 In -0.079725 -0.070275 41/3 1/0 1 28 -0.073172 In -0.073510 -0.072835 43/3 1/0 1 28 -0.069769 In -0.070075 -0.069462 44/3 0/1 1 28 -0.068182 In -0.072477 -0.063887 46/3 0/1 1 28 -0.065217 In -0.069326 -0.061109 47/3 1/0 1 28 -0.063831 In -0.064087 -0.063574 49/3 1/0 1 28 -0.061225 In -0.061462 -0.060989 50/3 0/1 1 28 -0.060000 In -0.063780 -0.056220 -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 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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 1/2 1 28 0.102072 In 0.093965 0.110179 -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 2/1 1 28 0.108737 In 0.103735 0.113739 -44/5 -2/1 1 28 0.113608 In 0.110289 0.116927 -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 -1/2 1 28 0.121911 In 0.113255 0.130568 -39/5 1/2 1 28 0.128255 In 0.117942 0.138568 -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 2/1 1 28 0.138959 In 0.132251 0.145668 -34/5 -2/1 1 28 0.147015 In 0.143091 0.150939 -33/5 1/0 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