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 22 0.020000 In 0.015736 0.024264 -49/1 1/0 1 22 0.020409 In 0.020320 0.020497 -48/1 0/1 1 22 0.020833 In 0.016392 0.025275 -47/1 1/0 1 22 0.021277 In 0.021181 0.021374 -46/1 0/1 1 22 0.021739 In 0.017104 0.026374 -45/1 1/0 1 22 0.022223 In 0.022117 0.022328 -44/1 0/1 1 22 0.022727 In 0.017882 0.027573 -43/1 1/0 1 22 0.023256 In 0.023141 0.023372 -42/1 0/1 1 22 0.023810 In 0.018733 0.028886 -41/1 1/0 1 22 0.024391 In 0.024264 0.024518 -40/1 0/1 1 22 0.025000 In 0.019670 0.030330 -39/1 1/0 1 22 0.025642 In 0.025502 0.025782 -38/1 0/1 1 22 0.026316 In 0.020705 0.031926 -37/1 1/0 1 22 0.027028 In 0.026872 0.027184 -36/1 0/1 1 22 0.027778 In 0.021856 0.033700 -35/1 1/0 1 22 0.028572 In 0.028398 0.028747 -34/1 0/1 1 22 0.029412 In 0.023141 0.035682 -33/1 1/0 1 22 0.030304 In 0.030109 0.030500 -32/1 0/1 1 22 0.031250 In 0.024587 0.037913 -31/1 1/0 1 22 0.032260 In 0.032038 0.032481 -30/1 0/1 1 22 0.033333 In 0.026227 0.040440 -29/1 1/0 1 22 0.034485 In 0.034231 0.034738 -28/1 0/1 1 22 0.035714 In 0.028100 0.043329 -27/1 1/0 1 22 0.037039 In 0.036747 0.037332 -26/1 0/1 1 22 0.038462 In 0.030262 0.046662 -25/1 1/0 1 22 0.040003 In 0.039662 0.040344 -24/1 0/1 1 22 0.041667 In 0.032783 0.050550 -23/1 1/0 1 22 0.043482 In 0.043079 0.043885 -22/1 0/1 1 22 0.045455 In 0.035764 0.055145 -21/1 1/0 1 22 0.047624 In 0.047140 0.048107 -20/1 0/1 1 22 0.050000 In 0.039340 0.060660 -19/1 1/0 1 22 0.052638 In 0.052048 0.053229 -18/1 0/1 1 22 0.055556 In 0.043711 0.067400 -17/1 1/0 1 22 0.058833 In 0.058095 0.059571 -16/1 0/1 1 22 0.062500 In 0.049175 0.075825 -15/1 1/0 1 22 0.066680 In 0.065732 0.067628 -14/1 0/1 1 22 0.071429 In 0.056200 0.086657 -13/1 1/0 1 22 0.076944 In 0.075682 0.078206 -12/1 0/1 1 22 0.083333 In 0.065567 0.101100 -11/1 1/0 1 22 0.090943 In 0.089181 0.092706 -10/1 0/1 1 22 0.100000 In 0.078680 0.121320 -9/1 1/0 1 22 0.111173 In 0.108540 0.113807 -8/1 0/1 1 22 0.125000 In 0.098350 0.151650 -7/1 1/0 1 22 0.142990 In 0.138635 0.147345 -6/1 0/1 1 22 0.166667 In 0.131133 0.202200 -5/1 1/0 1 22 0.200364 In 0.191821 0.208908 -4/1 0/1 1 22 0.250000 In 0.196700 0.303300 -3/1 1/0 1 22 0.335025 In 0.311216 0.358835 -2/1 0/1 1 22 0.500000 In 0.393400 0.606600 -1/1 1/0 1 22 1.047619 In 0.824266 1.270972 0/1 0/1 1 22 1/1 1/0 1 22 -1.047619 In -1.270972 -0.824266 2/1 0/1 1 22 -0.500000 In -0.606600 -0.393400 3/1 1/0 1 22 -0.335025 In -0.358835 -0.311216 4/1 0/1 1 22 -0.250000 In -0.303300 -0.196700 5/1 1/0 1 22 -0.200364 In -0.208908 -0.191821 6/1 0/1 1 22 -0.166667 In -0.202200 -0.131133 7/1 1/0 1 22 -0.142990 In -0.147345 -0.138635 8/1 0/1 1 22 -0.125000 In -0.151650 -0.098350 9/1 1/0 1 22 -0.111173 In -0.113807 -0.108540 10/1 0/1 1 22 -0.100000 In -0.121320 -0.078680 11/1 1/0 1 22 -0.090943 In -0.092706 -0.089181 12/1 0/1 1 22 -0.083333 In -0.101100 -0.065567 13/1 1/0 1 22 -0.076944 In -0.078206 -0.075682 14/1 0/1 1 22 -0.071429 In -0.086657 -0.056200 15/1 1/0 1 22 -0.066680 In -0.067628 -0.065732 16/1 0/1 1 22 -0.062500 In -0.075825 -0.049175 17/1 1/0 1 22 -0.058833 In -0.059571 -0.058095 18/1 0/1 1 22 -0.055556 In -0.067400 -0.043711 19/1 1/0 1 22 -0.052638 In -0.053229 -0.052048 20/1 0/1 1 22 -0.050000 In -0.060660 -0.039340 21/1 1/0 1 22 -0.047624 In -0.048107 -0.047140 22/1 0/1 1 22 -0.045455 In -0.055145 -0.035764 23/1 1/0 1 22 -0.043482 In -0.043885 -0.043079 24/1 0/1 1 22 -0.041667 In -0.050550 -0.032783 25/1 1/0 1 22 -0.040003 In -0.040344 -0.039662 26/1 0/1 1 22 -0.038462 In -0.046662 -0.030262 27/1 1/0 1 22 -0.037039 In -0.037332 -0.036747 28/1 0/1 1 22 -0.035714 In -0.043329 -0.028100 29/1 1/0 1 22 -0.034485 In -0.034738 -0.034231 30/1 0/1 1 22 -0.033333 In -0.040440 -0.026227 31/1 1/0 1 22 -0.032260 In -0.032481 -0.032038 32/1 0/1 1 22 -0.031250 In -0.037913 -0.024587 33/1 1/0 1 22 -0.030304 In -0.030500 -0.030109 34/1 0/1 1 22 -0.029412 In -0.035682 -0.023141 35/1 1/0 1 22 -0.028572 In -0.028747 -0.028398 36/1 0/1 1 22 -0.027778 In -0.033700 -0.021856 37/1 1/0 1 22 -0.027028 In -0.027184 -0.026872 38/1 0/1 1 22 -0.026316 In -0.031926 -0.020705 39/1 1/0 1 22 -0.025642 In -0.025782 -0.025502 40/1 0/1 1 22 -0.025000 In -0.030330 -0.019670 41/1 1/0 1 22 -0.024391 In -0.024518 -0.024264 42/1 0/1 1 22 -0.023810 In -0.028886 -0.018733 43/1 1/0 1 22 -0.023256 In -0.023372 -0.023141 44/1 0/1 1 22 -0.022727 In -0.027573 -0.017882 45/1 1/0 1 22 -0.022223 In -0.022328 -0.022117 46/1 0/1 1 22 -0.021739 In -0.026374 -0.017104 47/1 1/0 1 22 -0.021277 In -0.021374 -0.021181 48/1 0/1 1 22 -0.020833 In -0.025275 -0.016392 49/1 1/0 1 22 -0.020409 In -0.020497 -0.020320 50/1 0/1 1 22 -0.020000 In -0.024264 -0.015736 -49/2 0 11 -47/2 0 11 -45/2 0 11 -43/2 0 11 -41/2 0 11 -39/2 0 11 -37/2 0 11 -35/2 0 11 -33/2 0 11 -31/2 0 11 -29/2 0 11 -27/2 0 11 -25/2 0 11 -23/2 0 11 -21/2 0 11 -19/2 0 11 -17/2 0 11 -15/2 0 11 -13/2 0 11 -11/2 0 11 -9/2 0 11 -7/2 0 11 -5/2 0 11 -3/2 0 11 -1/2 0 11 1/2 0 11 3/2 0 11 5/2 0 11 7/2 0 11 9/2 0 11 11/2 0 11 13/2 0 11 15/2 0 11 17/2 0 11 19/2 0 11 21/2 0 11 23/2 0 11 25/2 0 11 27/2 0 11 29/2 0 11 31/2 0 11 33/2 0 11 35/2 0 11 37/2 0 11 39/2 0 11 41/2 0 11 43/2 0 11 45/2 0 11 47/2 0 11 49/2 0 11 -50/3 -2/1 1 22 0.059968 In 0.056215 0.063721 -49/3 -1/2 1 22 0.061188 In 0.052752 0.069624 -47/3 1/2 1 22 0.063872 In 0.054510 0.073234 -46/3 2/1 1 22 0.065266 In 0.060026 0.070506 -44/3 -2/1 1 22 0.068141 In 0.063956 0.072326 -43/3 -1/2 1 22 0.069720 In 0.060149 0.079291 -41/3 1/2 1 22 0.073227 In 0.062446 0.084008 -40/3 2/1 1 22 0.075065 In 0.068935 0.081196 -38/3 -2/1 1 22 0.078894 In 0.074169 0.083620 -37/3 -1/2 1 22 0.081017 In 0.069960 0.092075 -35/3 1/2 1 22 0.085792 In 0.073086 0.098497 -34/3 2/1 1 22 0.088328 In 0.080949 0.095706 -32/3 -2/1 1 22 0.093678 In 0.088264 0.099092 -31/3 -1/2 1 22 0.096684 In 0.083594 0.109774 -29/3 1/2 1 22 0.103562 In 0.088097 0.119027 -28/3 2/1 1 22 0.107284 In 0.098036 0.116532 -26/3 -2/1 1 22 0.115281 In 0.108972 0.121591 -25/3 -1/2 1 22 0.119863 In 0.103829 0.135897 -23/3 1/2 1 22 0.130618 In 0.110868 0.150368 -22/3 2/1 1 22 0.136603 In 0.124264 0.148941 -20/3 -2/1 1 22 0.149841 In 0.142375 0.157306 -19/3 -1/2 1 22 0.157663 In 0.136990 0.178336 -17/3 1/2 1 22 0.176813 In 0.149513 0.204113 -16/3 2/1 1 22 0.187989 In 0.169654 0.206324 -14/3 -2/1 1 22 0.214020 In 0.205310 0.222731 -13/3 -1/2 1 22 0.230293 In 0.201270 0.259317 -11/3 1/2 1 22 0.273581 In 0.229515 0.317648 -10/3 2/1 1 22 0.301457 In 0.267283 0.335631 -8/3 -2/1 1 22 0.374644 In 0.367962 0.381325 -7/3 -1/2 1 22 0.427112 In 0.379207 0.475018 -5/3 1/2 1 22 0.604736 In 0.493670 0.715802 -4/3 2/1 1 22 0.764368 In 0.629586 0.899150 -2/3 -2/1 1 22 1.547619 In 1.324266 1.770972 -1/3 -1/2 1 22 3.047619 In 2.824266 3.270972 1/3 1/2 1 22 -3.047619 In -3.270972 -2.824266 2/3 2/1 1 22 -1.547619 In -1.770972 -1.324266 4/3 -2/1 1 22 -0.764368 In -0.899150 -0.629586 5/3 -1/2 1 22 -0.604736 In -0.715802 -0.493670 7/3 1/2 1 22 -0.427112 In -0.475018 -0.379207 8/3 2/1 1 22 -0.374644 In -0.381325 -0.367962 10/3 -2/1 1 22 -0.301457 In -0.335631 -0.267283 11/3 -1/2 1 22 -0.273581 In -0.317648 -0.229515 13/3 1/2 1 22 -0.230293 In -0.259317 -0.201270 14/3 2/1 1 22 -0.214020 In -0.222731 -0.205310 16/3 -2/1 1 22 -0.187989 In -0.206324 -0.169654 17/3 -1/2 1 22 -0.176813 In -0.204113 -0.149513 19/3 1/2 1 22 -0.157663 In -0.178336 -0.136990 20/3 2/1 1 22 -0.149841 In -0.157306 -0.142375 22/3 -2/1 1 22 -0.136603 In -0.148941 -0.124264 23/3 -1/2 1 22 -0.130618 In -0.150368 -0.110868 25/3 1/2 1 22 -0.119863 In -0.135897 -0.103829 26/3 2/1 1 22 -0.115281 In -0.121591 -0.108972 28/3 -2/1 1 22 -0.107284 In -0.116532 -0.098036 29/3 -1/2 1 22 -0.103562 In -0.119027 -0.088097 31/3 1/2 1 22 -0.096684 In -0.109774 -0.083594 32/3 2/1 1 22 -0.093678 In -0.099092 -0.088264 34/3 -2/1 1 22 -0.088328 In -0.095706 -0.080949 35/3 -1/2 1 22 -0.085792 In -0.098497 -0.073086 37/3 1/2 1 22 -0.081017 In -0.092075 -0.069960 38/3 2/1 1 22 -0.078894 In -0.083620 -0.074169 40/3 -2/1 1 22 -0.075065 In -0.081196 -0.068935 41/3 -1/2 1 22 -0.073227 In -0.084008 -0.062446 43/3 1/2 1 22 -0.069720 In -0.079291 -0.060149 44/3 2/1 1 22 -0.068141 In -0.072326 -0.063956 46/3 -2/1 1 22 -0.065266 In -0.070506 -0.060026 47/3 -1/2 1 22 -0.063872 In -0.073234 -0.054510 49/3 1/2 1 22 -0.061188 In -0.069624 -0.052752 50/3 2/1 1 22 -0.059968 In -0.063721 -0.056215 -49/4 -1/1 1 11 0.081598 In 0.075947 0.087249 -47/4 1/1 1 11 0.085151 In 0.078190 0.092112 -45/4 1/1 1 11 0.088938 In 0.081642 0.096234 -43/4 -1/1 1 11 0.092979 In 0.086619 0.099339 -41/4 -1/1 1 11 0.097512 In 0.090875 0.104149 -39/4 1/1 1 11 0.102630 In 0.094106 0.111155 -37/4 1/1 1 11 0.108182 In 0.099151 0.117212 -35/4 -1/1 1 11 0.114220 In 0.106589 0.121851 -33/4 -1/1 1 11 0.121139 In 0.113109 0.129169 -31/4 1/1 1 11 0.129139 In 0.118157 0.140121 -29/4 1/1 1 11 0.138054 In 0.126222 0.149886 -27/4 -1/1 1 11 0.148042 In 0.138528 0.157556 -25/4 -1/1 1 11 0.159878 In 0.149746 0.170010 -23/4 1/1 1 11 0.174115 In 0.158723 0.189507 -21/4 1/1 1 11 0.190722 In 0.173626 0.207818 -19/4 -1/1 1 11 0.210327 In 0.197796 0.222859 -17/4 -1/1 1 11 0.235053 In 0.221486 0.248621 -15/4 1/1 1 11 0.267179 In 0.241707 0.292650 -13/4 1/1 1 11 0.308396 In 0.278050 0.338742 -11/4 -1/1 1 11 0.363158 In 0.345702 0.380614 -9/4 -1/1 1 11 0.443820 In 0.425188 0.462453 -7/4 1/1 1 11 0.574349 In 0.506537 0.642161 -5/4 1/1 1 11 0.806569 In 0.697629 0.915510 -3/4 -1/1 1 11 1.336735 In 1.302892 1.370578 -1/4 -1/1 1 11 4.300000 In 3.305013 5.294987 1/4 1/1 1 11 -4.300000 In -5.294987 -3.305013 3/4 1/1 1 11 -1.336735 In -1.370578 -1.302892 5/4 -1/1 1 11 -0.806569 In -0.915510 -0.697629 7/4 -1/1 1 11 -0.574349 In -0.642161 -0.506537 9/4 1/1 1 11 -0.443820 In -0.462453 -0.425188 11/4 1/1 1 11 -0.363158 In -0.380614 -0.345702 13/4 -1/1 1 11 -0.308396 In -0.338742 -0.278050 15/4 -1/1 1 11 -0.267179 In -0.292650 -0.241707 17/4 1/1 1 11 -0.235053 In -0.248621 -0.221486 19/4 1/1 1 11 -0.210327 In -0.222859 -0.197796 21/4 -1/1 1 11 -0.190722 In -0.207818 -0.173626 23/4 -1/1 1 11 -0.174115 In -0.189507 -0.158723 25/4 1/1 1 11 -0.159878 In -0.170010 -0.149746 27/4 1/1 1 11 -0.148042 In -0.157556 -0.138528 29/4 -1/1 1 11 -0.138054 In -0.149886 -0.126222 31/4 -1/1 1 11 -0.129139 In -0.140121 -0.118157 33/4 1/1 1 11 -0.121139 In -0.129169 -0.113109 35/4 1/1 1 11 -0.114220 In -0.121851 -0.106589 37/4 -1/1 1 11 -0.108182 In -0.117212 -0.099151 39/4 -1/1 1 11 -0.102630 In -0.111155 -0.094106 41/4 1/1 1 11 -0.097512 In -0.104149 -0.090875 43/4 1/1 1 11 -0.092979 In -0.099339 -0.086619 45/4 -1/1 1 11 -0.088938 In -0.096234 -0.081642 47/4 -1/1 1 11 -0.085151 In -0.092112 -0.078190 49/4 1/1 1 11 -0.081598 In -0.087249 -0.075947 -49/5 1/0 1 22 0.102043 In 0.101599 0.102487 -48/5 0/1 1 22 0.104167 In 0.099725 0.108608 -47/5 1/0 1 22 0.106385 In 0.105903 0.106868 -46/5 0/1 1 22 0.108696 In 0.104061 0.113330 -44/5 0/1 1 22 0.113636 In 0.108791 0.118482 -43/5 1/0 1 22 0.116282 In 0.115705 0.116858 -42/5 0/1 1 22 0.119048 In 0.113971 0.124124 -41/5 1/0 1 22 0.121955 In 0.121320 0.122589 -39/5 1/0 1 22 0.128209 In 0.127508 0.128910 -38/5 0/1 1 22 0.131579 In 0.125968 0.137189 -37/5 1/0 1 22 0.135140 In 0.134361 0.135918 -36/5 0/1 1 22 0.138889 In 0.132967 0.144811 -34/5 0/1 1 22 0.147059 In 0.140788 0.153329 -33/5 1/0 1 22 0.151521 In 0.150543 0.152500 -32/5 0/1 1 22 0.156250 In 0.149587 0.162913 -31/5 1/0 1 22 0.161298 In 0.160189 0.162407 -29/5 1/0 1 22 0.172423 In 0.171156 0.173691 -28/5 0/1 1 22 0.178571 In 0.170957 0.186186 -27/5 1/0 1 22 0.185197 In 0.183734 0.186659 -26/5 0/1 1 22 0.192308 In 0.184108 0.200508 -24/5 0/1 1 22 0.208333 In 0.199450 0.217217 -23/5 1/0 1 22 0.217410 In 0.215395 0.219425 -22/5 0/1 1 22 0.227273 In 0.217582 0.236964 -21/5 1/0 1 22 0.238120 In 0.235702 0.240537 -19/5 1/0 1 22 0.263191 In 0.260238 0.266144 -18/5 0/1 1 22 0.277778 In 0.265933 0.289622 -17/5 1/0 1 22 0.294164 In 0.290475 0.297853 -16/5 0/1 1 22 0.312500 In 0.299175 0.325825 -14/5 0/1 1 22 0.357143 In 0.341914 0.372371 -13/5 1/0 1 22 0.384719 In 0.378409 0.391028 -12/5 0/1 1 22 0.416667 In 0.398900 0.434433 -11/5 1/0 1 22 0.454716 In 0.445903 0.463530 -9/5 1/0 1 22 0.555867 In 0.542700 0.569035 -8/5 0/1 1 22 0.625000 In 0.598350 0.651650 -7/5 1/0 1 22 0.714949 In 0.693174 0.736724 -6/5 0/1 1 22 0.833333 In 0.797800 0.868867 -4/5 0/1 1 22 1.250000 In 1.196700 1.303300 -3/5 1/0 1 22 1.675127 In 1.556081 1.794173 -2/5 0/1 1 22 2.500000 In 2.393400 2.606600 -1/5 1/0 1 22 5.238095 In 4.121330 6.354861 1/5 1/0 1 22 -5.238095 In -6.354861 -4.121330 2/5 0/1 1 22 -2.500000 In -2.606600 -2.393400 3/5 1/0 1 22 -1.675127 In -1.794173 -1.556081 4/5 0/1 1 22 -1.250000 In -1.303300 -1.196700 6/5 0/1 1 22 -0.833333 In -0.868867 -0.797800 7/5 1/0 1 22 -0.714949 In -0.736724 -0.693174 8/5 0/1 1 22 -0.625000 In -0.651650 -0.598350 9/5 1/0 1 22 -0.555867 In -0.569035 -0.542700 11/5 1/0 1 22 -0.454716 In -0.463530 -0.445903 12/5 0/1 1 22 -0.416667 In -0.434433 -0.398900 13/5 1/0 1 22 -0.384719 In -0.391028 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