SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 10 -50/1 1/1 2 1 0.020817 In -0.008056 0.049690 -49/1 3/2 1 10 0.020666 In 0.007358 0.033973 -48/1 2/1 1 5 0.021014 In 0.011306 0.030723 -47/1 1/0 1 10 0.021278 In 0.021134 0.021421 -46/1 1/1 1 5 0.021836 In 0.011901 0.031770 -45/1 1/1 1 2 0.022475 In 0.006408 0.038541 -44/1 2/1 1 5 0.022943 In 0.012313 0.033574 -43/1 1/0 1 10 0.023257 In 0.023086 0.023428 -42/1 1/1 1 5 0.023926 In 0.013023 0.034828 -41/1 1/0 1 10 0.024392 In 0.024204 0.024580 -40/1 0 1 -39/1 1/0 1 10 0.025643 In 0.025435 0.025851 -38/1 1/1 1 5 0.026458 In 0.014378 0.038538 -37/1 1/0 1 10 0.027029 In 0.026798 0.027260 -36/1 0/1 1 5 0.027778 In 0.015355 0.040200 -35/1 1/1 1 2 0.028991 In 0.008203 0.049780 -34/1 1/1 1 5 0.029590 In 0.016047 0.043132 -33/1 1/0 1 10 0.030306 In 0.030015 0.030596 -32/1 0/1 1 5 0.031250 In 0.017275 0.045225 -31/1 1/2 1 10 0.032470 In 0.011737 0.053203 -30/1 1/1 2 1 0.035635 In -0.013186 0.084455 -29/1 3/2 1 10 0.035234 In 0.012272 0.058195 -28/1 2/1 1 5 0.036261 In 0.019131 0.053392 -27/1 1/0 1 10 0.037042 In 0.036608 0.037476 -26/1 1/1 1 5 0.038769 In 0.020901 0.056636 -25/1 1/1 1 2 0.040833 In 0.011393 0.070272 -24/1 2/1 1 5 0.042420 In 0.022205 0.062635 -23/1 1/0 1 10 0.043486 In 0.042889 0.044084 -22/1 1/1 1 5 0.045887 In 0.024626 0.067147 -21/1 1/0 1 10 0.047630 In 0.046913 0.048347 -20/1 0 1 -19/1 1/0 1 10 0.052646 In 0.051770 0.053522 -18/1 1/1 1 5 0.056208 In 0.029966 0.082449 -17/1 1/0 1 10 0.058844 In 0.057749 0.059938 -16/1 0/1 1 5 0.062500 In 0.034549 0.090451 -15/1 1/1 1 2 0.069042 In 0.018647 0.119437 -14/1 1/1 1 5 0.072523 In 0.038262 0.106783 -13/1 1/0 1 10 0.076969 In 0.075096 0.078841 -12/1 0/1 1 5 0.083333 In 0.046066 0.120601 -11/1 1/2 1 10 0.092639 In 0.032479 0.152798 -10/1 1/1 2 1 0.122449 In -0.036289 0.281187 -9/1 3/2 1 10 0.119850 In 0.036944 0.202756 -8/1 2/1 1 5 0.132911 In 0.062150 0.203673 -7/1 1/0 1 10 0.143149 In 0.136682 0.149616 -6/1 1/1 1 5 0.173184 In 0.085740 0.260628 -5/1 1/1 1 2 0.224490 In 0.051321 0.397659 -4/1 2/1 1 5 0.289474 In 0.112942 0.466005 -3/1 1/0 1 10 0.337079 In 0.301547 0.372610 -2/1 1/1 1 5 0.578947 In 0.225884 0.932011 -1/1 1/0 1 10 1.111111 In 0.759747 1.462475 0/1 0 1 1/1 1/0 1 10 -1.111111 In -1.462475 -0.759747 2/1 1/1 1 5 -0.473684 In -0.591372 -0.355996 3/1 1/0 1 10 -0.337079 In -0.372610 -0.301547 4/1 0/1 1 5 -0.250000 In -0.361803 -0.138197 5/1 1/1 1 2 -0.183673 In -0.299119 -0.068227 6/1 1/1 1 5 -0.162011 In -0.224471 -0.099551 7/1 1/0 1 10 -0.143149 In -0.149616 -0.136682 8/1 0/1 1 5 -0.125000 In -0.180902 -0.069098 9/1 1/2 1 10 -0.108776 In -0.175227 -0.042325 10/1 1/1 2 1 -0.081633 In -0.211509 0.048244 11/1 3/2 1 10 -0.086595 In -0.136622 -0.036567 12/1 2/1 1 5 -0.081006 In -0.112236 -0.049776 13/1 1/0 1 10 -0.076969 In -0.078841 -0.075096 14/1 1/1 1 5 -0.070480 In -0.100173 -0.040788 15/1 1/1 1 2 -0.064588 In -0.108684 -0.020492 16/1 2/1 1 5 -0.061129 In -0.085662 -0.036595 17/1 1/0 1 10 -0.058844 In -0.059938 -0.057749 18/1 1/1 1 5 -0.054972 In -0.078452 -0.031493 19/1 1/0 1 10 -0.052646 In -0.053522 -0.051770 20/1 0 1 21/1 1/0 1 10 -0.047630 In -0.048347 -0.046913 22/1 1/1 1 5 -0.045060 In -0.064472 -0.025648 23/1 1/0 1 10 -0.043486 In -0.044084 -0.042889 24/1 0/1 1 5 -0.041667 In -0.060301 -0.023033 25/1 1/1 1 2 -0.039231 In -0.066406 -0.012057 26/1 1/1 1 5 -0.038177 In -0.054721 -0.021633 27/1 1/0 1 10 -0.037042 In -0.037476 -0.036608 28/1 0/1 1 5 -0.035714 In -0.051686 -0.019742 29/1 1/2 1 10 -0.034249 In -0.055684 -0.012814 30/1 1/1 2 1 -0.031180 In -0.076851 0.014490 31/1 3/2 1 10 -0.031663 In -0.051096 -0.012231 32/1 2/1 1 5 -0.030884 In -0.043996 -0.017771 33/1 1/0 1 10 -0.030306 In -0.030596 -0.030015 34/1 1/1 1 5 -0.029244 In -0.042013 -0.016475 35/1 1/1 1 2 -0.028175 In -0.047809 -0.008541 36/1 2/1 1 5 -0.027486 In -0.039226 -0.015746 37/1 1/0 1 10 -0.027029 In -0.027260 -0.026798 38/1 1/1 1 5 -0.026181 In -0.037642 -0.014720 39/1 1/0 1 10 -0.025643 In -0.025851 -0.025435 40/1 0 1 41/1 1/0 1 10 -0.024392 In -0.024580 -0.024204 42/1 1/1 1 5 -0.023699 In -0.034094 -0.013303 43/1 1/0 1 10 -0.023257 In -0.023428 -0.023086 44/1 0/1 1 5 -0.022727 In -0.032891 -0.012563 45/1 1/1 1 2 -0.021981 In -0.037349 -0.006613 46/1 1/1 1 5 -0.021647 In -0.031158 -0.012135 47/1 1/0 1 10 -0.021278 In -0.021421 -0.021134 48/1 0/1 1 5 -0.020833 In -0.030150 -0.011516 49/1 1/2 1 10 -0.020326 In -0.033102 -0.007550 50/1 1/1 2 1 -0.019215 In -0.046956 0.008525 -49/2 0 10 -47/2 0 10 -45/2 0 2 -43/2 0 10 -41/2 0 10 -39/2 0 10 -37/2 0 10 -35/2 0 2 -33/2 0 10 -31/2 0 10 -29/2 0 10 -27/2 0 10 -25/2 0 2 -23/2 0 10 -21/2 0 10 -19/2 0 10 -17/2 0 10 -15/2 0 2 -13/2 0 10 -11/2 0 10 -9/2 0 10 -7/2 0 10 -5/2 0 2 -3/2 0 10 -1/2 0 10 1/2 0 10 3/2 0 10 5/2 0 2 7/2 0 10 9/2 0 10 11/2 0 10 13/2 0 10 15/2 0 2 17/2 0 10 19/2 0 10 21/2 0 10 23/2 0 10 25/2 0 2 27/2 0 10 29/2 0 10 31/2 0 10 33/2 0 10 35/2 0 2 37/2 0 10 39/2 0 10 41/2 0 10 43/2 0 10 45/2 0 2 47/2 0 10 49/2 0 10 -50/3 1/0 2 1 0.060048 In 0.058350 0.061746 -49/3 1/0 1 10 0.061227 In 0.060832 0.061622 -47/3 1/2 1 10 0.063923 In 0.050037 0.077810 -46/3 1/1 1 5 0.065318 In 0.054961 0.075675 -44/3 2/1 1 5 0.068417 In 0.056862 0.079971 -43/3 1/0 1 10 0.069771 In 0.069258 0.070284 -41/3 1/0 1 10 0.073175 In 0.072611 0.073739 -40/3 0 1 -38/3 1/1 1 5 0.079097 In 0.066397 0.091796 -37/3 1/0 1 10 0.081087 In 0.080394 0.081780 -35/3 1/1 1 2 0.086158 In 0.064214 0.108101 -34/3 1/1 1 5 0.088424 In 0.074107 0.102740 -32/3 2/3 1 5 0.094996 In 0.050415 0.139578 -31/3 5/6 1 10 0.100156 In 0.033843 0.166470 -29/3 7/6 1 10 0.109078 In 0.035325 0.182830 -28/3 4/3 1 5 0.110656 In 0.055670 0.165641 -26/3 1/1 1 5 0.115715 In 0.096524 0.134906 -25/3 1/1 1 2 0.120897 In 0.089193 0.152600 -23/3 1/0 1 10 0.130459 In 0.128666 0.132253 -22/3 1/1 1 5 0.136833 In 0.113724 0.159943 -20/3 0 1 -19/3 1/0 1 10 0.157938 In 0.155310 0.160567 -17/3 1/0 1 10 0.176532 In 0.173248 0.179815 -16/3 0/1 1 5 0.187500 In 0.159549 0.215451 -14/3 1/1 1 5 0.215526 In 0.176697 0.254355 -13/3 3/2 1 10 0.235574 In 0.169732 0.301416 -11/3 1/0 1 10 0.272953 In 0.265106 0.280800 -10/3 1/0 2 1 0.306122 In 0.262830 0.349415 -8/3 0/1 1 5 0.375000 In 0.319098 0.430902 -7/3 1/0 1 10 0.429448 In 0.410047 0.448848 -5/3 1/1 1 2 0.632653 In 0.401761 0.863545 -4/3 2/1 1 5 0.815789 In 0.521570 1.110009 -2/3 1/1 1 5 1.631579 In 1.043140 2.220018 -1/3 1/0 1 10 3.333333 In 2.279241 4.387426 1/3 1/0 1 10 -3.333333 In -4.387426 -2.279241 2/3 1/1 1 5 -1.526316 In -1.644004 -1.408628 4/3 0/1 1 5 -0.750000 In -0.861803 -0.638197 5/3 1/1 1 2 -0.591837 In -0.649560 -0.534114 7/3 1/0 1 10 -0.429448 In -0.448848 -0.410047 8/3 2/1 1 5 -0.373418 In -0.387570 -0.359265 10/3 1/0 2 1 -0.306122 In -0.349415 -0.262830 11/3 1/0 1 10 -0.272953 In -0.280800 -0.265106 13/3 1/2 1 10 -0.229722 In -0.272784 -0.186659 14/3 1/1 1 5 -0.213483 In -0.238608 -0.188359 16/3 2/1 1 5 -0.186520 In -0.204044 -0.168996 17/3 1/0 1 10 -0.176532 In -0.179815 -0.173248 19/3 1/0 1 10 -0.157938 In -0.160567 -0.155310 20/3 0 1 22/3 1/1 1 5 -0.136007 In -0.153570 -0.118443 23/3 1/0 1 10 -0.130459 In -0.132253 -0.128666 25/3 1/1 1 2 -0.119295 In -0.144206 -0.094385 26/3 1/1 1 5 -0.115123 In -0.130343 -0.099902 28/3 2/3 1 5 -0.105720 In -0.150259 -0.061181 29/3 5/6 1 10 -0.100179 In -0.160143 -0.040214 31/3 7/6 1 10 -0.092877 In -0.147451 -0.038304 32/3 4/3 1 5 -0.091693 In -0.128493 -0.054892 34/3 1/1 1 5 -0.088078 In -0.100072 -0.076083 35/3 1/1 1 2 -0.085341 In -0.103820 -0.066862 37/3 1/0 1 10 -0.081087 In -0.081780 -0.080394 38/3 1/1 1 5 -0.078820 In -0.089661 -0.067979 40/3 0 1 41/3 1/0 1 10 -0.073175 In -0.073739 -0.072611 43/3 1/0 1 10 -0.069771 In -0.070284 -0.069258 44/3 0/1 1 5 -0.068182 In -0.078346 -0.058018 46/3 1/1 1 5 -0.065129 In -0.074218 -0.056040 47/3 3/2 1 10 -0.063584 In -0.075757 -0.051411 49/3 1/0 1 10 -0.061227 In -0.061622 -0.060832 50/3 1/0 2 1 -0.060048 In -0.061746 -0.058350 -49/4 0 10 -47/4 0 10 -45/4 0/1 1 2 0.088889 In 0.073175 0.104602 -43/4 0 10 -41/4 0 10 -39/4 0 10 -37/4 0 10 -35/4 2/1 1 2 0.115290 In 0.090429 0.140152 -33/4 0 10 -31/4 0 10 -29/4 0 10 -27/4 0 10 -25/4 0/1 1 2 0.160000 In 0.131716 0.188284 -23/4 0 10 -21/4 0 10 -19/4 0 10 -17/4 0 10 -15/4 2/1 1 2 0.273543 In 0.200612 0.346473 -13/4 0 10 -11/4 0 10 -9/4 0 10 -7/4 0 10 -5/4 2/1 1 2 0.913043 In 0.513374 1.312713 -3/4 0 10 -1/4 0 10 1/4 0 10 3/4 0 10 5/4 0/1 1 2 -0.800000 In -0.941421 -0.658579 7/4 0 10 9/4 0 10 11/4 0 10 13/4 0 10 15/4 0/1 1 2 -0.266667 In -0.313807 -0.219526 17/4 0 10 19/4 0 10 21/4 0 10 23/4 0 10 25/4 2/1 1 2 -0.158909 In -0.178204 -0.139613 27/4 0 10 29/4 0 10 31/4 0 10 33/4 0 10 35/4 0/1 1 2 -0.114286 In -0.134489 -0.094083 37/4 0 10 39/4 0 10 41/4 0 10 43/4 0 10 45/4 2/1 1 2 -0.088482 In -0.101415 -0.075550 47/4 0 10 49/4 0 10 -49/5 11/10 1 10 0.107162 In 0.035019 0.179306 -48/5 6/5 1 5 0.107106 In 0.054533 0.159678 -47/5 5/4 1 10 0.107410 In 0.076884 0.137936 -46/5 1/1 1 5 0.108800 In 0.098021 0.119580 -44/5 2/1 1 5 0.113890 In 0.101411 0.126369 -43/5 3/2 1 10 0.116660 In 0.099378 0.133942 -42/5 1/1 1 5 0.119175 In 0.107258 0.131091 -41/5 3/2 1 10 0.122374 In 0.104116 0.140631 -39/5 1/0 1 10 0.128214 In 0.127174 0.129253 -38/5 1/1 1 5 0.131736 In 0.118417 0.145055 -37/5 1/0 1 10 0.135145 In 0.133990 0.136300 -36/5 2/1 1 5 0.139284 In 0.123400 0.155167 -34/5 1/1 1 5 0.147257 In 0.132167 0.162348 -33/5 1/0 1 10 0.151529 In 0.150077 0.152981 -32/5 2/1 1 5 0.156763 In 0.138406 0.175120 -31/5 1/2 1 10 0.161515 In 0.139466 0.183565 -29/5 1/0 1 10 0.172434 In 0.170554 0.174315 -28/5 2/1 1 5 0.179265 In 0.157566 0.200963 -27/5 1/0 1 10 0.185211 In 0.183041 0.187380 -26/5 1/1 1 5 0.192661 In 0.172146 0.213175 -24/5 4/3 1 5 0.213687 In 0.141858 0.285516 -23/5 3/2 1 10 0.218898 In 0.182371 0.255425 -22/5 1/1 1 5 0.227780 In 0.202822 0.252738 -21/5 3/2 1 10 0.239945 In 0.198989 0.280902 -19/5 1/0 1 10 0.263231 In 0.258850 0.267612 -18/5 3/1 1 5 0.281192 In 0.235388 0.326996 -17/5 1/0 1 10 0.294219 In 0.288746 0.299692 -16/5 0/1 1 5 0.312500 In 0.284549 0.340451 -14/5 1/1 1 5 0.358529 In 0.315132 0.401926 -13/5 1/0 1 10 0.384843 In 0.375482 0.394204 -12/5 0/1 1 5 0.416667 In 0.379399 0.453934 -11/5 1/2 1 10 0.456576 In 0.385954 0.527197 -9/5 1/0 1 10 0.556242 In 0.536698 0.575787 -8/5 2/1 1 5 0.639241 In 0.511870 0.766611 -7/5 1/0 1 10 0.715746 In 0.683412 0.748081 -6/5 3/1 1 5 0.894737 In 0.620132 1.169342 -4/5 0/1 1 5 1.250000 In 1.138197 1.361803 -3/5 1/0 1 10 1.685393 In 1.507737 1.863049 -2/5 1/1 1 5 2.684211 In 1.860396 3.508025 -1/5 1/0 1 10 5.555556 In 3.798735 7.312376 1/5 1/0 1 10 -5.555556 In -7.312376 -3.798735 2/5 1/1 1 5 -2.578947 In -2.932011 -2.225884 3/5 1/0 1 10 -1.685393 In -1.863049 -1.507737 4/5 2/1 1 5 -1.289474 In -1.466005 -1.112942 6/5 -1/1 1 5 -0.843575 In -0.980987 -0.706163 7/5 1/0 1 10 -0.715746 In -0.748081 -0.683412 8/5 0/1 1 5 -0.625000 In -0.680902 -0.569098 9/5 1/0 1 10 -0.556242 In -0.575787 -0.536698 11/5 3/2 1 10 -0.452956 In -0.471387 -0.434525 12/5 2/1 1 5 -0.416201 In -0.422447 -0.409955 13/5 1/0 1 10 -0.384843 In -0.394204 -0.375482 14/5 1/1 1 5 -0.356486 In -0.377043 -0.335930 16/5 2/1 1 5 -0.311912 In -0.322427 -0.301398 17/5 1/0 1 10 -0.294219 In -0.299692 -0.288746 18/5 -1/1 1 5 -0.278567 In -0.310333 -0.246801 19/5 1/0 1 10 -0.263231 In -0.267612 -0.258850 21/5 1/2 1 10 -0.237696 In -0.264233 -0.211158 22/5 1/1 1 5 -0.226953 In -0.242668 -0.211239 23/5 1/2 1 10 -0.217054 In -0.241568 -0.192540 24/5 2/3 1 5 -0.206537 In -0.254741 -0.158332 26/5 1/1 1 5 -0.192069 In -0.205966 -0.178172 27/5 1/0 1 10 -0.185211 In -0.187380 -0.183041 28/5 0/1 1 5 -0.178571 In -0.194543 -0.162600 29/5 1/0 1 10 -0.172434 In -0.174315 -0.170554 31/5 3/2 1 10 -0.160817 In -0.176297 -0.145336 32/5 0/1 1 5 -0.156250 In -0.170225 -0.142275 33/5 1/0 1 10 -0.151529 In -0.152981 -0.150077 34/5 1/1 1 5 -0.146911 In -0.158132 -0.135690 36/5 0/1 1 5 -0.138889 In -0.151311 -0.126466 37/5 1/0 1 10 -0.135145 In -0.136300 -0.133990 38/5 1/1 1 5 -0.131459 In -0.141680 -0.121237 39/5 1/0 1 10 -0.128214 In -0.129253 -0.127174 41/5 1/2 1 10 -0.121839 In -0.136326 -0.107353 42/5 1/1 1 5 -0.118948 In -0.128329 -0.109566 43/5 1/2 1 10 -0.116177 In -0.130031 -0.102323 44/5 0/1 1 5 -0.113636 In -0.123800 -0.103472 46/5 1/1 1 5 -0.108611 In -0.117278 -0.099945 47/5 3/4 1 10 -0.105883 In -0.130659 -0.081107 48/5 4/5 1 5 -0.102573 In -0.145335 -0.059811 49/5 9/10 1 10 -0.098625 In -0.157433 -0.039817 -49/6 0 10 -47/6 0 10 -43/6 0 10 -41/6 0 10 -37/6 0 10 -35/6 2/1 1 2 0.172527 In 0.145352 0.199701 -31/6 0 10 -29/6 0 10 -25/6 2/1 1 2 0.242376 In 0.200380 0.284371 -23/6 0 10 -19/6 0 10 -17/6 0 10 -13/6 0 10 -11/6 0 10 -7/6 0 10 -5/6 0/1 1 2 1.200000 In 1.058579 1.341421 -1/6 0 10 1/6 0 10 5/6 2/1 1 2 -1.260870 In -1.476076 -1.045663 7/6 0 10 11/6 0 10 13/6 0 10 17/6 0 10 19/6 0 10 23/6 0 10 25/6 0/1 1 2 -0.240000 In -0.268284 -0.211716 29/6 0 10 31/6 0 10 35/6 0/1 1 2 -0.171429 In -0.191632 -0.151226 37/6 0 10 41/6 0 10 43/6 0 10 47/6 0 10 49/6 0 10 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