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 2 -50/1 -25/1 2 14 0.019259 In 0.015340 0.023179 -49/1 1/0 1 14 0.020409 In 0.020297 0.020520 -48/1 -24/1 2 14 0.020062 In 0.015979 0.024145 -47/1 1/0 1 14 0.021277 In 0.021156 0.021398 -46/1 -23/1 2 14 0.020934 In 0.016674 0.025194 -45/1 1/0 1 14 0.022223 In 0.022091 0.022355 -44/1 -22/1 2 14 0.021886 In 0.017431 0.026340 -43/1 1/0 1 14 0.023257 In 0.023112 0.023401 -42/1 -21/1 2 14 0.022928 In 0.018261 0.027594 -41/1 1/0 1 14 0.024391 In 0.024232 0.024550 -40/1 -20/1 2 14 0.024074 In 0.019175 0.028974 -39/1 1/0 1 14 0.025642 In 0.025467 0.025818 -38/1 -19/1 2 14 0.025341 In 0.020184 0.030499 -37/1 1/0 1 14 0.027028 In 0.026833 0.027224 -36/1 -18/1 2 14 0.026749 In 0.021305 0.032193 -35/1 1/0 1 14 0.028573 In 0.028355 0.028791 -34/1 -17/1 2 14 0.028322 In 0.022558 0.034087 -33/1 1/0 1 14 0.030305 In 0.030060 0.030550 -32/1 -16/1 2 14 0.030093 In 0.023968 0.036217 -31/1 1/0 1 14 0.032260 In 0.031982 0.032539 -30/1 -15/1 2 14 0.032099 In 0.025566 0.038631 -29/1 1/0 1 14 0.034486 In 0.034168 0.034804 -28/1 -14/1 2 14 0.034392 In 0.027392 0.041391 -27/1 1/0 1 14 0.037041 In 0.036674 0.037407 -26/1 -13/1 2 14 0.037037 In 0.029499 0.044575 -25/1 1/0 1 14 0.040005 In 0.039577 0.040432 -24/1 -12/1 2 14 0.040123 In 0.031958 0.048289 -23/1 1/0 1 14 0.043484 In 0.042979 0.043989 -22/1 -11/1 2 14 0.043771 In 0.034863 0.052679 -21/1 1/0 1 14 0.047627 In 0.047021 0.048233 -20/1 -10/1 2 14 0.048148 In 0.038349 0.057947 -19/1 1/0 1 14 0.052642 In 0.051902 0.053382 -18/1 -9/1 2 14 0.053498 In 0.042610 0.064386 -17/1 1/0 1 14 0.058838 In 0.057913 0.059763 -16/1 -8/1 2 14 0.060185 In 0.047936 0.072434 -15/1 1/0 1 14 0.066688 In 0.065500 0.067876 -14/1 -7/1 2 14 0.068783 In 0.054784 0.082782 -13/1 1/0 1 14 0.076956 In 0.075374 0.078538 -12/1 -6/1 2 14 0.080247 In 0.063915 0.096579 -11/1 1/0 1 14 0.090963 In 0.088753 0.093173 -10/1 -5/1 2 14 0.096296 In 0.076698 0.115894 -9/1 1/0 1 14 0.111209 In 0.107907 0.114512 -8/1 -4/1 2 14 0.120370 In 0.095873 0.144868 -7/1 1/0 1 14 0.143066 In 0.137603 0.148528 -6/1 -3/1 2 14 0.160494 In 0.127830 0.193157 -5/1 1/0 1 14 0.200573 In 0.189852 0.211294 -4/1 -2/1 2 14 0.240741 In 0.191745 0.289736 -3/1 1/0 1 14 0.336000 In 0.306067 0.365933 -2/1 -1/1 2 14 0.481481 In 0.383491 0.579472 -1/1 1/0 1 14 1.076923 In 0.789103 1.364743 0/1 0/1 2 14 1/1 1/0 1 14 -1.076923 In -1.364743 -0.789103 2/1 1/1 2 14 -0.481481 In -0.579472 -0.383491 3/1 1/0 1 14 -0.336000 In -0.365933 -0.306067 4/1 2/1 2 14 -0.240741 In -0.289736 -0.191745 5/1 1/0 1 14 -0.200573 In -0.211294 -0.189852 6/1 3/1 2 14 -0.160494 In -0.193157 -0.127830 7/1 1/0 1 14 -0.143066 In -0.148528 -0.137603 8/1 4/1 2 14 -0.120370 In -0.144868 -0.095873 9/1 1/0 1 14 -0.111209 In -0.114512 -0.107907 10/1 5/1 2 14 -0.096296 In -0.115894 -0.076698 11/1 1/0 1 14 -0.090963 In -0.093173 -0.088753 12/1 6/1 2 14 -0.080247 In -0.096579 -0.063915 13/1 1/0 1 14 -0.076956 In -0.078538 -0.075374 14/1 7/1 2 14 -0.068783 In -0.082782 -0.054784 15/1 1/0 1 14 -0.066688 In -0.067876 -0.065500 16/1 8/1 2 14 -0.060185 In -0.072434 -0.047936 17/1 1/0 1 14 -0.058838 In -0.059763 -0.057913 18/1 9/1 2 14 -0.053498 In -0.064386 -0.042610 19/1 1/0 1 14 -0.052642 In -0.053382 -0.051902 20/1 10/1 2 14 -0.048148 In -0.057947 -0.038349 21/1 1/0 1 14 -0.047627 In -0.048233 -0.047021 22/1 11/1 2 14 -0.043771 In -0.052679 -0.034863 23/1 1/0 1 14 -0.043484 In -0.043989 -0.042979 24/1 12/1 2 14 -0.040123 In -0.048289 -0.031958 25/1 1/0 1 14 -0.040005 In -0.040432 -0.039577 26/1 13/1 2 14 -0.037037 In -0.044575 -0.029499 27/1 1/0 1 14 -0.037041 In -0.037407 -0.036674 28/1 14/1 2 14 -0.034392 In -0.041391 -0.027392 29/1 1/0 1 14 -0.034486 In -0.034804 -0.034168 30/1 15/1 2 14 -0.032099 In -0.038631 -0.025566 31/1 1/0 1 14 -0.032260 In -0.032539 -0.031982 32/1 16/1 2 14 -0.030093 In -0.036217 -0.023968 33/1 1/0 1 14 -0.030305 In -0.030550 -0.030060 34/1 17/1 2 14 -0.028322 In -0.034087 -0.022558 35/1 1/0 1 14 -0.028573 In -0.028791 -0.028355 36/1 18/1 2 14 -0.026749 In -0.032193 -0.021305 37/1 1/0 1 14 -0.027028 In -0.027224 -0.026833 38/1 19/1 2 14 -0.025341 In -0.030499 -0.020184 39/1 1/0 1 14 -0.025642 In -0.025818 -0.025467 40/1 20/1 2 14 -0.024074 In -0.028974 -0.019175 41/1 1/0 1 14 -0.024391 In -0.024550 -0.024232 42/1 21/1 2 14 -0.022928 In -0.027594 -0.018261 43/1 1/0 1 14 -0.023257 In -0.023401 -0.023112 44/1 22/1 2 14 -0.021886 In -0.026340 -0.017431 45/1 1/0 1 14 -0.022223 In -0.022355 -0.022091 46/1 23/1 2 14 -0.020934 In -0.025194 -0.016674 47/1 1/0 1 14 -0.021277 In -0.021398 -0.021156 48/1 24/1 2 14 -0.020062 In -0.024145 -0.015979 49/1 1/0 1 14 -0.020409 In -0.020520 -0.020297 50/1 25/1 2 14 -0.019259 In -0.023179 -0.015340 -49/2 0 14 -47/2 0 14 -45/2 0 14 -43/2 0 14 -41/2 0 14 -39/2 0 14 -37/2 0 14 -35/2 0 14 -33/2 0 14 -31/2 0 14 -29/2 0 14 -27/2 0 14 -25/2 0 14 -23/2 0 14 -21/2 0 14 -19/2 0 14 -17/2 0 14 -15/2 0 14 -13/2 0 14 -11/2 0 14 -9/2 0 14 -7/2 0 14 -5/2 0 14 -3/2 0 14 -1/2 0 14 1/2 0 14 3/2 0 14 5/2 0 14 7/2 0 14 9/2 0 14 11/2 0 14 13/2 0 14 15/2 0 14 17/2 0 14 19/2 0 14 21/2 0 14 23/2 0 14 25/2 0 14 27/2 0 14 29/2 0 14 31/2 0 14 33/2 0 14 35/2 0 14 37/2 0 14 39/2 0 14 41/2 0 14 43/2 0 14 45/2 0 14 47/2 0 14 49/2 0 14 -50/3 -9/1 2 14 0.059762 In 0.056269 0.063256 -49/3 -17/2 1 14 0.060735 In 0.055458 0.066012 -47/3 -15/2 1 14 0.063320 In 0.057349 0.069292 -46/3 -7/1 2 14 0.064960 In 0.060479 0.069440 -44/3 -8/1 2 14 0.067912 In 0.063989 0.071835 -43/3 -15/2 1 14 0.069210 In 0.063232 0.075188 -41/3 -13/2 1 14 0.072587 In 0.065701 0.079473 -40/3 -6/1 2 14 0.074704 In 0.069491 0.079918 -38/3 -7/1 2 14 0.078636 In 0.074165 0.083107 -37/3 -13/2 1 14 0.080434 In 0.073540 0.087327 -35/3 -11/2 1 14 0.085031 In 0.076902 0.093161 -34/3 -5/1 2 14 0.087889 In 0.081657 0.094120 -32/3 -6/1 2 14 0.093382 In 0.088188 0.098576 -31/3 -11/2 1 14 0.096002 In 0.087864 0.104141 -29/3 -9/2 1 14 0.102626 In 0.092706 0.112545 -28/3 -4/1 2 14 0.106725 In 0.098989 0.114461 -26/3 -5/1 2 14 0.114935 In 0.108752 0.121118 -25/3 -9/2 1 14 0.119045 In 0.109118 0.128972 -23/3 -7/2 1 14 0.129401 In 0.116686 0.142115 -22/3 -3/1 2 14 0.135839 In 0.125660 0.146018 -20/3 -4/1 2 14 0.149425 In 0.141823 0.157028 -19/3 -7/2 1 14 0.156643 In 0.143934 0.169352 -17/3 -5/2 1 14 0.175081 In 0.157401 0.192761 -16/3 -2/1 2 14 0.186801 In 0.172004 0.201598 -14/3 -3/1 2 14 0.213500 In 0.203794 0.223205 -13/3 -5/2 1 14 0.228962 In 0.211381 0.246543 -11/3 -3/2 1 14 0.270623 In 0.241756 0.299491 -10/3 -1/1 2 14 0.298999 In 0.272503 0.325494 -8/3 -2/1 2 14 0.373874 In 0.361956 0.385792 -7/3 -3/2 1 14 0.425406 In 0.397772 0.453040 -5/3 -1/2 1 14 0.595989 In 0.520941 0.671036 -4/3 0/1 2 14 0.750000 In 0.655509 0.844491 -2/3 -1/1 2 14 1.518519 In 1.420528 1.616509 -1/3 -1/2 1 14 3.076923 In 2.789103 3.364743 1/3 1/2 1 14 -3.076923 In -3.364743 -2.789103 2/3 1/1 2 14 -1.518519 In -1.616509 -1.420528 4/3 0/1 2 14 -0.750000 In -0.844491 -0.655509 5/3 1/2 1 14 -0.595989 In -0.671036 -0.520941 7/3 3/2 1 14 -0.425406 In -0.453040 -0.397772 8/3 2/1 2 14 -0.373874 In -0.385792 -0.361956 10/3 1/1 2 14 -0.298999 In -0.325494 -0.272503 11/3 3/2 1 14 -0.270623 In -0.299491 -0.241756 13/3 5/2 1 14 -0.228962 In -0.246543 -0.211381 14/3 3/1 2 14 -0.213500 In -0.223205 -0.203794 16/3 2/1 2 14 -0.186801 In -0.201598 -0.172004 17/3 5/2 1 14 -0.175081 In -0.192761 -0.157401 19/3 7/2 1 14 -0.156643 In -0.169352 -0.143934 20/3 4/1 2 14 -0.149425 In -0.157028 -0.141823 22/3 3/1 2 14 -0.135839 In -0.146018 -0.125660 23/3 7/2 1 14 -0.129401 In -0.142115 -0.116686 25/3 9/2 1 14 -0.119045 In -0.128972 -0.109118 26/3 5/1 2 14 -0.114935 In -0.121118 -0.108752 28/3 4/1 2 14 -0.106725 In -0.114461 -0.098989 29/3 9/2 1 14 -0.102626 In -0.112545 -0.092706 31/3 11/2 1 14 -0.096002 In -0.104141 -0.087864 32/3 6/1 2 14 -0.093382 In -0.098576 -0.088188 34/3 5/1 2 14 -0.087889 In -0.094120 -0.081657 35/3 11/2 1 14 -0.085031 In -0.093161 -0.076902 37/3 13/2 1 14 -0.080434 In -0.087327 -0.073540 38/3 7/1 2 14 -0.078636 In -0.083107 -0.074165 40/3 6/1 2 14 -0.074704 In -0.079918 -0.069491 41/3 13/2 1 14 -0.072587 In -0.079473 -0.065701 43/3 15/2 1 14 -0.069210 In -0.075188 -0.063232 44/3 8/1 2 14 -0.067912 In -0.071835 -0.063989 46/3 7/1 2 14 -0.064960 In -0.069440 -0.060479 47/3 15/2 1 14 -0.063320 In -0.069292 -0.057349 49/3 17/2 1 14 -0.060735 In -0.066012 -0.055458 50/3 9/1 2 14 -0.059762 In -0.063256 -0.056269 -49/4 0 14 -47/4 0 14 -45/4 0 14 -43/4 0 14 -41/4 0 14 -39/4 0 14 -37/4 0 14 -35/4 0 14 -33/4 0 14 -31/4 0 14 -29/4 0 14 -27/4 0 14 -25/4 0 14 -23/4 0 14 -21/4 0 14 -19/4 0 14 -17/4 0 14 -15/4 0 14 -13/4 0 14 -11/4 0 14 -9/4 0 14 -7/4 0 14 -5/4 0 14 -3/4 0 14 -1/4 0 14 1/4 0 14 3/4 0 14 5/4 0 14 7/4 0 14 9/4 0 14 11/4 0 14 13/4 0 14 15/4 0 14 17/4 0 14 19/4 0 14 21/4 0 14 23/4 0 14 25/4 0 14 27/4 0 14 29/4 0 14 31/4 0 14 33/4 0 14 35/4 0 14 37/4 0 14 39/4 0 14 41/4 0 14 43/4 0 14 45/4 0 14 47/4 0 14 49/4 0 14 -49/5 1/0 1 14 0.102044 In 0.101487 0.102600 -48/5 -4/1 2 14 0.104022 In 0.099424 0.108620 -47/5 1/0 1 14 0.106386 In 0.105781 0.106991 -46/5 -5/1 2 14 0.108541 In 0.104784 0.112299 -44/5 -4/1 2 14 0.113475 In 0.108784 0.118166 -43/5 1/0 1 14 0.116284 In 0.115561 0.117006 -42/5 -5/1 2 14 0.118883 In 0.115233 0.122533 -41/5 1/0 1 14 0.121956 In 0.121161 0.122751 -39/5 1/0 1 14 0.128211 In 0.127333 0.129090 -38/5 -3/1 2 14 0.131399 In 0.125374 0.137425 -37/5 1/0 1 14 0.135142 In 0.134166 0.136118 -36/5 -4/1 2 14 0.138693 In 0.134018 0.143367 -34/5 -3/1 2 14 0.146851 In 0.140632 0.153071 -33/5 1/0 1 14 0.151525 In 0.150298 0.152752 -32/5 -4/1 2 14 0.156040 In 0.151601 0.160479 -31/5 1/0 1 14 0.161302 In 0.159912 0.162693 -29/5 1/0 1 14 0.172428 In 0.170839 0.174018 -28/5 -2/1 2 14 0.178337 In 0.169653 0.187021 -27/5 1/0 1 14 0.185203 In 0.183370 0.187037 -26/5 -3/1 2 14 0.192039 In 0.185877 0.198201 -24/5 -2/1 2 14 0.208044 In 0.198848 0.217239 -23/5 1/0 1 14 0.217421 In 0.214894 0.219947 -22/5 -3/1 2 14 0.226990 In 0.221509 0.232471 -21/5 1/0 1 14 0.238134 In 0.235103 0.241164 -19/5 1/0 1 14 0.263210 In 0.259508 0.266912 -18/5 -1/1 2 14 0.277459 In 0.262287 0.292631 -17/5 1/0 1 14 0.294190 In 0.289565 0.298815 -16/5 -2/1 2 14 0.312081 In 0.303202 0.320959 -14/5 -1/1 2 14 0.356674 In 0.339306 0.374042 -13/5 1/0 1 14 0.384778 In 0.376868 0.392688 -12/5 -2/1 2 14 0.416335 In 0.411064 0.421605 -11/5 1/0 1 14 0.454814 In 0.443764 0.465864 -9/5 1/0 1 14 0.556046 In 0.539534 0.572558 -8/5 0/1 2 14 0.625000 In 0.577754 0.672246 -7/5 1/0 1 14 0.715328 In 0.688017 0.742640 -6/5 -1/1 2 14 0.832669 In 0.822128 0.843210 -4/5 0/1 2 14 1.250000 In 1.155509 1.344491 -3/5 1/0 1 14 1.680000 In 1.530334 1.829666 -2/5 -1/1 2 14 2.555556 In 2.261583 2.849528 -1/5 1/0 1 14 5.384615 In 3.945516 6.823714 1/5 1/0 1 14 -5.384615 In -6.823714 -3.945516 2/5 1/1 2 14 -2.555556 In -2.849528 -2.261583 3/5 1/0 1 14 -1.680000 In -1.829666 -1.530334 4/5 0/1 2 14 -1.250000 In -1.344491 -1.155509 6/5 1/1 2 14 -0.832669 In -0.843210 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1/0 1 14 -0.151525 In -0.152752 -0.150298 34/5 3/1 2 14 -0.146851 In -0.153071 -0.140632 36/5 4/1 2 14 -0.138693 In -0.143367 -0.134018 37/5 1/0 1 14 -0.135142 In -0.136118 -0.134166 38/5 3/1 2 14 -0.131399 In -0.137425 -0.125374 39/5 1/0 1 14 -0.128211 In -0.129090 -0.127333 41/5 1/0 1 14 -0.121956 In -0.122751 -0.121161 42/5 5/1 2 14 -0.118883 In -0.122533 -0.115233 43/5 1/0 1 14 -0.116284 In -0.117006 -0.115561 44/5 4/1 2 14 -0.113475 In -0.118166 -0.108784 46/5 5/1 2 14 -0.108541 In -0.112299 -0.104784 47/5 1/0 1 14 -0.106386 In -0.106991 -0.105781 48/5 4/1 2 14 -0.104022 In -0.108620 -0.099424 49/5 1/0 1 14 -0.102044 In -0.102600 -0.101487 -49/6 0 14 -47/6 0 14 -43/6 0 14 -41/6 0 14 -37/6 0 14 -35/6 0 14 -31/6 0 14 -29/6 0 14 -25/6 0 14 -23/6 0 14 -19/6 0 14 -17/6 0 14 -13/6 0 14 -11/6 0 14 -7/6 0 14 -5/6 0 14 -1/6 0 14 1/6 0 14 5/6 0 14 7/6 0 14 11/6 0 14 13/6 0 14 17/6 0 14 19/6 0 14 23/6 0 14 25/6 0 14 29/6 0 14 31/6 0 14 35/6 0 14 37/6 0 14 41/6 0 14 43/6 0 14 47/6 0 14 49/6 0 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