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 1 -50/1 0 7 -49/1 -49/1 1 7 -48/1 0 7 -47/1 -47/1 1 7 -46/1 0 7 -45/1 -45/1 1 7 -44/1 0 7 -43/1 -43/1 1 7 -42/1 0 7 -41/1 -41/1 1 7 -40/1 0 7 -39/1 -39/1 1 7 -38/1 0 7 -37/1 -37/1 1 7 -36/1 0 7 -35/1 -35/1 1 7 -34/1 0 7 -33/1 -33/1 1 7 -32/1 0 7 -31/1 -31/1 1 7 -30/1 0 7 -29/1 -29/1 1 7 -28/1 0 7 -27/1 -27/1 1 7 -26/1 0 7 -25/1 -25/1 1 7 -24/1 0 7 -23/1 -23/1 1 7 -22/1 0 7 -21/1 -21/1 1 7 -20/1 0 7 -19/1 -19/1 1 7 -18/1 0 7 -17/1 -17/1 1 7 -16/1 0 7 -15/1 -15/1 1 7 -14/1 0 7 -13/1 -13/1 1 7 -12/1 0 7 -11/1 -11/1 1 7 -10/1 0 7 -9/1 -9/1 1 7 -8/1 0 7 -7/1 -7/1 1 7 -6/1 0 7 -5/1 -5/1 1 7 -4/1 0 7 -3/1 -3/1 1 7 -2/1 0 7 -1/1 -1/1 1 7 0/1 0 7 1/1 1/1 1 7 2/1 0 7 3/1 3/1 1 7 4/1 0 7 5/1 5/1 1 7 6/1 0 7 7/1 7/1 1 7 8/1 0 7 9/1 9/1 1 7 10/1 0 7 11/1 11/1 1 7 12/1 0 7 13/1 13/1 1 7 14/1 0 7 15/1 15/1 1 7 16/1 0 7 17/1 17/1 1 7 18/1 0 7 19/1 19/1 1 7 20/1 0 7 21/1 21/1 1 7 22/1 0 7 23/1 23/1 1 7 24/1 0 7 25/1 25/1 1 7 26/1 0 7 27/1 27/1 1 7 28/1 0 7 29/1 29/1 1 7 30/1 0 7 31/1 31/1 1 7 32/1 0 7 33/1 33/1 1 7 34/1 0 7 35/1 35/1 1 7 36/1 0 7 37/1 37/1 1 7 38/1 0 7 39/1 39/1 1 7 40/1 0 7 41/1 41/1 1 7 42/1 0 7 43/1 43/1 1 7 44/1 0 7 45/1 45/1 1 7 46/1 0 7 47/1 47/1 1 7 48/1 0 7 49/1 49/1 1 7 50/1 0 7 -49/2 -23/1 1 7 0.040730 In 0.040242 0.041217 -47/2 -25/1 1 7 0.042661 In 0.042126 0.043196 -45/2 -21/1 1 7 0.044343 In 0.043765 0.044920 -43/2 -23/1 1 7 0.046641 In 0.046002 0.047280 -41/2 -19/1 1 7 0.048659 In 0.047963 0.049354 -39/2 -21/1 1 7 0.051440 In 0.050663 0.052218 -37/2 -17/1 1 7 0.053906 In 0.053052 0.054760 -35/2 -19/1 1 7 0.057341 In 0.056375 0.058307 -33/2 -15/1 1 7 0.060422 In 0.059349 0.061495 -31/2 -17/1 1 7 0.064772 In 0.063539 0.066005 -29/2 -13/1 1 7 0.068730 In 0.067342 0.070118 -27/2 -15/1 1 7 0.074416 In 0.072789 0.076043 -25/2 -11/1 1 7 0.079690 In 0.077824 0.081556 -23/2 -13/1 1 7 0.087436 In 0.085190 0.089682 -21/2 -9/1 1 7 0.094810 In 0.092170 0.097451 -19/2 -11/1 1 7 0.105985 In 0.102686 0.109284 -17/2 -7/1 1 7 0.117021 In 0.113000 0.121042 -15/2 -9/1 1 7 0.134538 In 0.129225 0.139851 -13/2 -5/1 1 7 0.152850 In 0.145995 0.159704 -11/2 -7/1 1 7 0.184211 In 0.174264 0.194157 -9/2 -3/1 1 7 0.220430 In 0.206206 0.234655 -7/2 -5/1 1 7 0.292453 In 0.267493 0.317413 -5/2 -1/1 1 7 0.396552 In 0.350935 0.442168 -3/2 -3/1 1 7 0.722222 In 0.575236 0.869208 -1/2 1/1 1 7 2.500000 In 1.177124 3.822876 1/2 -1/1 1 7 -2.500000 In -3.822876 -1.177124 3/2 3/1 1 7 -0.722222 In -0.869208 -0.575236 5/2 1/1 1 7 -0.396552 In -0.442168 -0.350935 7/2 5/1 1 7 -0.292453 In -0.317413 -0.267493 9/2 3/1 1 7 -0.220430 In -0.234655 -0.206206 11/2 7/1 1 7 -0.184211 In -0.194157 -0.174264 13/2 5/1 1 7 -0.152850 In -0.159704 -0.145995 15/2 9/1 1 7 -0.134538 In -0.139851 -0.129225 17/2 7/1 1 7 -0.117021 In -0.121042 -0.113000 19/2 11/1 1 7 -0.105985 In -0.109284 -0.102686 21/2 9/1 1 7 -0.094810 In -0.097451 -0.092170 23/2 13/1 1 7 -0.087436 In -0.089682 -0.085190 25/2 11/1 1 7 -0.079690 In -0.081556 -0.077824 27/2 15/1 1 7 -0.074416 In -0.076043 -0.072789 29/2 13/1 1 7 -0.068730 In -0.070118 -0.067342 31/2 17/1 1 7 -0.064772 In -0.066005 -0.063539 33/2 15/1 1 7 -0.060422 In -0.061495 -0.059349 35/2 19/1 1 7 -0.057341 In -0.058307 -0.056375 37/2 17/1 1 7 -0.053906 In -0.054760 -0.053052 39/2 21/1 1 7 -0.051440 In -0.052218 -0.050663 41/2 19/1 1 7 -0.048659 In -0.049354 -0.047963 43/2 23/1 1 7 -0.046641 In -0.047280 -0.046002 45/2 21/1 1 7 -0.044343 In -0.044920 -0.043765 47/2 25/1 1 7 -0.042661 In -0.043196 -0.042126 49/2 23/1 1 7 -0.040730 In -0.041217 -0.040242 -50/3 0 7 -49/3 -17/1 1 7 0.061266 In 0.060946 0.061587 -47/3 -15/1 1 7 0.063788 In 0.063441 0.064135 -46/3 0 7 -44/3 0 7 -43/3 -15/1 1 7 0.069822 In 0.069406 0.070238 -41/3 -13/1 1 7 0.073116 In 0.072660 0.073572 -40/3 0 7 -38/3 0 7 -37/3 -13/1 1 7 0.081156 In 0.080594 0.081718 -35/3 -11/1 1 7 0.085640 In 0.085014 0.086266 -34/3 0 7 -32/3 0 7 -31/3 -11/1 1 7 0.096882 In 0.096081 0.097683 -29/3 -9/1 1 7 0.103341 In 0.102430 0.104253 -28/3 0 7 -26/3 0 7 -25/3 -9/1 1 7 0.120168 In 0.118935 0.121400 -23/3 -7/1 1 7 0.130268 In 0.128820 0.131716 -22/3 0 7 -20/3 0 7 -19/3 -7/1 1 7 0.158192 In 0.156057 0.160327 -17/3 -5/1 1 7 0.176176 In 0.173528 0.178825 -16/3 0 7 -14/3 0 7 -13/3 -5/1 1 7 0.231434 In 0.226864 0.236003 -11/3 -3/1 1 7 0.272076 In 0.265762 0.278391 -10/3 0 7 -8/3 0 7 -7/3 -3/1 1 7 0.431138 In 0.415295 0.446981 -5/3 -1/1 1 7 0.597701 In 0.567290 0.628112 -4/3 0 7 -2/3 0 7 -1/3 -1/1 1 7 3.333333 In 2.451416 4.215250 1/3 1/1 1 7 -3.333333 In -4.215250 -2.451416 2/3 0 7 4/3 0 7 5/3 1/1 1 7 -0.597701 In -0.628112 -0.567290 7/3 3/1 1 7 -0.431138 In -0.446981 -0.415295 8/3 0 7 10/3 0 7 11/3 3/1 1 7 -0.272076 In -0.278391 -0.265762 13/3 5/1 1 7 -0.231434 In -0.236003 -0.226864 14/3 0 7 16/3 0 7 17/3 5/1 1 7 -0.176176 In -0.178825 -0.173528 19/3 7/1 1 7 -0.158192 In -0.160327 -0.156057 20/3 0 7 22/3 0 7 23/3 7/1 1 7 -0.130268 In -0.131716 -0.128820 25/3 9/1 1 7 -0.120168 In -0.121400 -0.118935 26/3 0 7 28/3 0 7 29/3 9/1 1 7 -0.103341 In -0.104253 -0.102430 31/3 11/1 1 7 -0.096882 In -0.097683 -0.096081 32/3 0 7 34/3 0 7 35/3 11/1 1 7 -0.085640 In -0.086266 -0.085014 37/3 13/1 1 7 -0.081156 In -0.081718 -0.080594 38/3 0 7 40/3 0 7 41/3 13/1 1 7 -0.073116 In -0.073572 -0.072660 43/3 15/1 1 7 -0.069822 In -0.070238 -0.069406 44/3 0 7 46/3 0 7 47/3 15/1 1 7 -0.063788 In -0.064135 -0.063441 49/3 17/1 1 7 -0.061266 In -0.061587 -0.060946 50/3 0 7 -49/4 -11/1 1 7 0.081565 In 0.080773 0.082358 -47/4 -13/1 1 7 0.085197 In 0.084332 0.086062 -45/4 -11/1 1 7 0.088871 In 0.088683 0.089060 -43/4 -11/1 1 7 0.093043 In 0.092837 0.093250 -41/4 -9/1 1 7 0.097467 In 0.096335 0.098599 -39/4 -11/1 1 7 0.102698 In 0.101441 0.103955 -37/4 -9/1 1 7 0.108083 In 0.107804 0.108361 -35/4 -9/1 1 7 0.114316 In 0.114005 0.114627 -33/4 -7/1 1 7 0.121072 In 0.119325 0.122819 -31/4 -9/1 1 7 0.129251 In 0.127260 0.131241 -29/4 -7/1 1 7 0.137890 In 0.137436 0.138343 -27/4 -7/1 1 7 0.148199 In 0.147676 0.148723 -25/4 -5/1 1 7 0.159770 In 0.156729 0.162811 -23/4 -7/1 1 7 0.174330 In 0.170709 0.177950 -21/4 -5/1 1 7 0.190398 In 0.189534 0.191262 -19/4 -5/1 1 7 0.210631 In 0.209574 0.211689 -17/4 -3/1 1 7 0.234856 In 0.228288 0.241424 -15/4 -5/1 1 7 0.267742 In 0.259207 0.276277 -13/4 -3/1 1 7 0.307496 In 0.305242 0.309749 -11/4 -3/1 1 7 0.363962 In 0.360805 0.367119 -9/4 -1/1 1 7 0.443463 In 0.420091 0.466835 -7/4 -3/1 1 7 0.577844 In 0.538237 0.617451 -5/4 -1/1 1 7 0.798851 In 0.783645 0.814056 -3/4 -1/1 1 7 1.338710 In 1.296036 1.381383 -1/4 1/1 1 7 4.833333 In 2.628541 7.038126 1/4 -1/1 1 7 -4.833333 In -7.038126 -2.628541 3/4 1/1 1 7 -1.338710 In -1.381383 -1.296036 5/4 1/1 1 7 -0.798851 In -0.814056 -0.783645 7/4 3/1 1 7 -0.577844 In -0.617451 -0.538237 9/4 1/1 1 7 -0.443463 In -0.466835 -0.420091 11/4 3/1 1 7 -0.363962 In -0.367119 -0.360805 13/4 3/1 1 7 -0.307496 In -0.309749 -0.305242 15/4 5/1 1 7 -0.267742 In -0.276277 -0.259207 17/4 3/1 1 7 -0.234856 In -0.241424 -0.228288 19/4 5/1 1 7 -0.210631 In -0.211689 -0.209574 21/4 5/1 1 7 -0.190398 In -0.191262 -0.189534 23/4 7/1 1 7 -0.174330 In -0.177950 -0.170709 25/4 5/1 1 7 -0.159770 In -0.162811 -0.156729 27/4 7/1 1 7 -0.148199 In -0.148723 -0.147676 29/4 7/1 1 7 -0.137890 In -0.138343 -0.137436 31/4 9/1 1 7 -0.129251 In -0.131241 -0.127260 33/4 7/1 1 7 -0.121072 In -0.122819 -0.119325 35/4 9/1 1 7 -0.114316 In -0.114627 -0.114005 37/4 9/1 1 7 -0.108083 In -0.108361 -0.107804 39/4 11/1 1 7 -0.102698 In -0.103955 -0.101441 41/4 9/1 1 7 -0.097467 In -0.098599 -0.096335 43/4 11/1 1 7 -0.093043 In -0.093250 -0.092837 45/4 11/1 1 7 -0.088871 In -0.089060 -0.088683 47/4 13/1 1 7 -0.085197 In -0.086062 -0.084332 49/4 11/1 1 7 -0.081565 In -0.082358 -0.080773 -49/5 -9/1 1 7 0.101997 In 0.101364 0.102630 -48/5 0 7 -47/5 -29/3 1 7 0.106552 In 0.105828 0.107276 -46/5 0 7 -44/5 0 7 -43/5 -25/3 1 7 0.116090 In 0.115231 0.116949 -42/5 0 7 -41/5 -9/1 1 7 0.122026 In 0.121121 0.122932 -39/5 -7/1 1 7 0.128137 In 0.127139 0.129136 -38/5 0 7 -37/5 -23/3 1 7 0.135410 In 0.134241 0.136579 -36/5 0 7 -34/5 0 7 -33/5 -19/3 1 7 0.151198 In 0.149741 0.152655 -32/5 0 7 -31/5 -7/1 1 7 0.161426 In 0.159841 0.163010 -29/5 -5/1 1 7 0.172296 In 0.170491 0.174102 -28/5 0 7 -27/5 -17/3 1 7 0.185708 In 0.183510 0.187907 -26/5 0 7 -24/5 0 7 -23/5 -13/3 1 7 0.216752 In 0.213757 0.219746 -22/5 0 7 -21/5 -5/1 1 7 0.238406 In 0.234950 0.241863 -19/5 -3/1 1 7 0.262907 In 0.258704 0.267110 -18/5 0 7 -17/5 -11/3 1 7 0.295478 In 0.289914 0.301043 -16/5 0 7 -14/5 0 7 -13/5 -7/3 1 7 0.382716 In 0.373384 0.392049 -12/5 0 7 -11/5 -3/1 1 7 0.455847 In 0.443218 0.468476 -9/5 -1/1 1 7 0.554770 In 0.536072 0.573468 -8/5 0 7 -7/5 -5/3 1 7 0.723270 In 0.689991 0.756550 -6/5 0 7 -4/5 0 7 -3/5 -1/3 1 7 1.645161 In 1.474468 1.815855 -2/5 0 7 -1/5 -1/1 1 7 5.666667 In 3.902832 7.430501 1/5 1/1 1 7 -5.666667 In -7.430501 -3.902832 2/5 0 7 3/5 1/3 1 7 -1.645161 In -1.815855 -1.474468 4/5 0 7 6/5 0 7 7/5 5/3 1 7 -0.723270 In -0.756550 -0.689991 8/5 0 7 9/5 1/1 1 7 -0.554770 In -0.573468 -0.536072 11/5 3/1 1 7 -0.455847 In -0.468476 -0.443218 12/5 0 7 13/5 7/3 1 7 -0.382716 In -0.392049 -0.373384 14/5 0 7 16/5 0 7 17/5 11/3 1 7 -0.295478 In -0.301043 -0.289914 18/5 0 7 19/5 3/1 1 7 -0.262907 In -0.267110 -0.258704 21/5 5/1 1 7 -0.238406 In -0.241863 -0.234950 22/5 0 7 23/5 13/3 1 7 -0.216752 In -0.219746 -0.213757 24/5 0 7 26/5 0 7 27/5 17/3 1 7 -0.185708 In -0.187907 -0.183510 28/5 0 7 29/5 5/1 1 7 -0.172296 In -0.174102 -0.170491 31/5 7/1 1 7 -0.161426 In -0.163010 -0.159841 32/5 0 7 33/5 19/3 1 7 -0.151198 In -0.152655 -0.149741 34/5 0 7 36/5 0 7 37/5 23/3 1 7 -0.135410 In -0.136579 -0.134241 38/5 0 7 39/5 7/1 1 7 -0.128137 In -0.129136 -0.127139 41/5 9/1 1 7 -0.122026 In -0.122932 -0.121121 42/5 0 7 43/5 25/3 1 7 -0.116090 In -0.116949 -0.115231 44/5 0 7 46/5 0 7 47/5 29/3 1 7 -0.106552 In -0.107276 -0.105828 48/5 0 7 49/5 9/1 1 7 -0.101997 In -0.102630 -0.101364 -49/6 -7/1 1 7 0.122389 In 0.121284 0.123494 -47/6 -9/1 1 7 0.127747 In 0.126543 0.128951 -43/6 -9/1 1 7 0.139714 In 0.137451 0.141977 -41/6 -5/1 1 7 0.146227 In 0.143749 0.148706 -37/6 -5/1 1 7 0.162063 In 0.160126 0.164001 -35/6 -7/1 1 7 0.171593 In 0.169421 0.173765 -31/6 -7/1 1 7 0.193920 In 0.189562 0.198278 -29/6 -3/1 1 7 0.206703 In 0.201752 0.211654 -25/6 -3/1 1 7 0.239808 In 0.235566 0.244050 -23/6 -5/1 1 7 0.261283 In 0.256248 0.266319 -19/6 -5/1 1 7 0.316946 In 0.305314 0.328578 -17/6 -1/1 1 7 0.352621 In 0.338228 0.367014 -13/6 -1/1 1 7 0.461083 In 0.445414 0.476751 -11/6 -3/1 1 7 0.547733 In 0.525632 0.569833 -7/6 -3/1 1 7 0.871257 In 0.784122 0.958393 -5/6 1/1 1 7 1.212644 In 1.045384 1.379904 -1/6 1/1 1 7 7.166667 In 4.079957 10.253377 1/6 -1/1 1 7 -7.166667 In -10.253377 -4.079957 5/6 -1/1 1 7 -1.212644 In -1.379904 -1.045384 7/6 3/1 1 7 -0.871257 In -0.958393 -0.784122 11/6 3/1 1 7 -0.547733 In -0.569833 -0.525632 13/6 1/1 1 7 -0.461083 In -0.476751 -0.445414 17/6 1/1 1 7 -0.352621 In -0.367014 -0.338228 19/6 5/1 1 7 -0.316946 In -0.328578 -0.305314 23/6 5/1 1 7 -0.261283 In -0.266319 -0.256248 25/6 3/1 1 7 -0.239808 In -0.244050 -0.235566 29/6 3/1 1 7 -0.206703 In -0.211654 -0.201752 31/6 7/1 1 7 -0.193920 In -0.198278 -0.189562 35/6 7/1 1 7 -0.171593 In -0.173765 -0.169421 37/6 5/1 1 7 -0.162063 In -0.164001 -0.160126 41/6 5/1 1 7 -0.146227 In -0.148706 -0.143749 43/6 9/1 1 7 -0.139714 In -0.141977 -0.137451 47/6 9/1 1 7 -0.127747 In -0.128951 -0.126543 49/6 7/1 1 7 -0.122389 In -0.123494 -0.121284 -50/7 -8/1 2 1 0.140809 In 0.137232 0.144387 -48/7 -6/1 2 1 0.145161 In 0.141360 0.148963 -47/7 -7/1 1 1 0.149074 In 0.148148 0.150000 -46/7 -6/1 4 1 0.151116 In 0.147059 0.155172 -45/7 1/0 3 1 0.155786 In 0.149790 0.161783 -44/7 -6/1 2 1 0.158798 In 0.157281 0.160316 -43/7 1/0 1 1 0.162879 In 0.159091 0.166667 -41/7 1/0 1 1 0.170833 In 0.166667 0.175000 -40/7 -6/1 2 1 0.175393 In 0.173542 0.177244 -39/7 1/0 3 1 0.179842 In 0.171855 0.187829 -38/7 -6/1 4 1 0.186154 In 0.180000 0.192308 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