SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 2 -50/1 1/0 1 10 0.020001 In 0.019874 0.020127 -49/1 0/1 1 10 0.020408 In 0.013955 0.026862 -48/1 0/1 1 10 0.020833 In 0.014245 0.027421 -47/1 1/0 1 10 0.021278 In 0.021134 0.021421 -46/1 1/0 1 10 0.021740 In 0.021591 0.021890 -45/1 0/1 1 10 0.022222 In 0.015195 0.029250 -44/1 0/1 1 10 0.022727 In 0.015540 0.029914 -43/1 1/0 1 10 0.023257 In 0.023086 0.023428 -42/1 1/0 1 10 0.023811 In 0.023632 0.023990 -41/1 0/1 1 10 0.024390 In 0.016677 0.032103 -40/1 0/1 1 10 0.025000 In 0.017094 0.032906 -39/1 1/0 1 10 0.025643 In 0.025435 0.025851 -38/1 1/0 1 10 0.026318 In 0.026099 0.026537 -37/1 0/1 1 10 0.027027 In 0.018480 0.035574 -36/1 0/1 1 10 0.027778 In 0.018994 0.036562 -35/1 1/0 1 10 0.028574 In 0.028316 0.028832 -34/1 1/0 1 10 0.029414 In 0.029141 0.029688 -33/1 0/1 1 10 0.030303 In 0.020720 0.039886 -32/1 0/1 1 10 0.031250 In 0.021368 0.041132 -31/1 1/0 1 10 0.032261 In 0.031932 0.032591 -30/1 1/0 1 10 0.033337 In 0.032986 0.033688 -29/1 0/1 1 10 0.034483 In 0.023578 0.045387 -28/1 0/1 1 10 0.035714 In 0.024420 0.047008 -27/1 1/0 1 10 0.037042 In 0.036608 0.037476 -26/1 1/0 1 10 0.038467 In 0.037999 0.038935 -25/1 0/1 1 10 0.040000 In 0.027351 0.052649 -24/1 0/1 1 10 0.041667 In 0.028491 0.054843 -23/1 1/0 1 10 0.043486 In 0.042889 0.044084 -22/1 1/0 1 10 0.045464 In 0.044810 0.046117 -21/1 0/1 1 10 0.047619 In 0.032561 0.062678 -20/1 0/1 1 10 0.050000 In 0.034189 0.065811 -19/1 1/0 1 10 0.052646 In 0.051770 0.053522 -18/1 1/0 1 10 0.055573 In 0.054596 0.056549 -17/1 0/1 1 10 0.058824 In 0.040222 0.077425 -16/1 0/1 1 10 0.062500 In 0.042736 0.082264 -15/1 1/0 1 10 0.066696 In 0.065290 0.068102 -14/1 1/0 1 10 0.071465 In 0.069851 0.073079 -13/1 0/1 1 10 0.076923 In 0.052598 0.101248 -12/1 0/1 1 10 0.083333 In 0.056981 0.109686 -11/1 1/0 1 10 0.090984 In 0.088369 0.093600 -10/1 1/0 1 10 0.100100 In 0.096935 0.103266 -9/1 0/1 1 10 0.111111 In 0.075975 0.146248 -8/1 0/1 1 10 0.125000 In 0.085472 0.164528 -7/1 1/0 1 10 0.143149 In 0.136682 0.149616 -6/1 1/0 1 10 0.167131 In 0.158322 0.175939 -5/1 0/1 1 10 0.200000 In 0.136754 0.263246 -4/1 0/1 1 10 0.250000 In 0.170943 0.329057 -3/1 1/0 1 10 0.337079 In 0.301547 0.372610 -2/1 1/0 1 10 0.512821 In 0.431736 0.593905 -1/1 0/1 1 10 1.000000 In 0.683772 1.316228 0/1 0/1 1 10 1/1 1/0 1 10 -1.111111 In -1.462475 -0.759747 2/1 1/0 1 10 -0.512821 In -0.593905 -0.431736 3/1 0/1 1 10 -0.333333 In -0.438743 -0.227924 4/1 0/1 1 10 -0.250000 In -0.329057 -0.170943 5/1 1/0 1 10 -0.200803 In -0.213503 -0.188103 6/1 1/0 1 10 -0.167131 In -0.175939 -0.158322 7/1 0/1 1 10 -0.142857 In -0.188033 -0.097682 8/1 0/1 1 10 -0.125000 In -0.164528 -0.085472 9/1 1/0 1 10 -0.111248 In -0.115157 -0.107340 10/1 1/0 1 10 -0.100100 In -0.103266 -0.096935 11/1 0/1 1 10 -0.090909 In -0.119657 -0.062161 12/1 0/1 1 10 -0.083333 In -0.109686 -0.056981 13/1 1/0 1 10 -0.076969 In -0.078841 -0.075096 14/1 1/0 1 10 -0.071465 In -0.073079 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36/1 0/1 1 10 -0.027778 In -0.036562 -0.018994 37/1 1/0 1 10 -0.027029 In -0.027260 -0.026798 38/1 1/0 1 10 -0.026318 In -0.026537 -0.026099 39/1 0/1 1 10 -0.025641 In -0.033749 -0.017533 40/1 0/1 1 10 -0.025000 In -0.032906 -0.017094 41/1 1/0 1 10 -0.024392 In -0.024580 -0.024204 42/1 1/0 1 10 -0.023811 In -0.023990 -0.023632 43/1 0/1 1 10 -0.023256 In -0.030610 -0.015902 44/1 0/1 1 10 -0.022727 In -0.029914 -0.015540 45/1 1/0 1 10 -0.022223 In -0.022379 -0.022067 46/1 1/0 1 10 -0.021740 In -0.021890 -0.021591 47/1 0/1 1 10 -0.021277 In -0.028005 -0.014548 48/1 0/1 1 10 -0.020833 In -0.027421 -0.014245 49/1 1/0 1 10 -0.020409 In -0.020541 -0.020277 50/1 1/0 1 10 -0.020001 In -0.020127 -0.019874 -49/2 -1/1 1 10 0.040776 In 0.034586 0.046967 -47/2 1/1 1 10 0.042600 In 0.035586 0.049615 -45/2 1/1 1 10 0.044496 In 0.037156 0.051836 -43/2 -1/1 1 10 0.046460 In 0.039448 0.053473 -41/2 -1/1 1 10 0.048724 In 0.041387 0.056061 -39/2 1/1 1 10 0.051351 In 0.042826 0.059876 -37/2 1/1 1 10 0.054131 In 0.045122 0.063140 -35/2 -1/1 1 10 0.057066 In 0.048546 0.065585 -33/2 -1/1 1 10 0.060520 In 0.051517 0.069523 -31/2 1/1 1 10 0.064627 In 0.053767 0.075487 -29/2 1/1 1 10 0.069093 In 0.057435 0.080750 -27/2 -1/1 1 10 0.073947 In 0.063101 0.084793 -25/2 -1/1 1 10 0.079853 In 0.068214 0.091492 -23/2 1/1 1 10 0.087162 In 0.072215 0.102109 -21/2 1/1 1 10 0.095487 In 0.078990 0.111983 -19/2 -1/1 1 10 0.105015 In 0.090120 0.119911 -17/2 -1/1 1 10 0.117342 In 0.100923 0.133761 -15/2 1/1 1 10 0.133837 In 0.109934 0.157741 -13/2 1/1 1 10 0.154529 In 0.126445 0.182613 -11/2 -1/1 1 10 0.181141 In 0.157601 0.204682 -9/2 -1/1 1 10 0.221261 In 0.193899 0.248623 -7/2 1/1 1 10 0.288344 In 0.230142 0.346545 -5/2 1/1 1 10 0.405622 In 0.316723 0.494522 -3/2 -1/1 1 10 0.662921 In 0.627390 0.698453 -1/2 -1/1 1 10 2.111111 In 1.759747 2.462475 1/2 1/1 1 10 -2.111111 In -2.462475 -1.759747 3/2 1/1 1 10 -0.662921 In -0.698453 -0.627390 5/2 -1/1 1 10 -0.405622 In -0.494522 -0.316723 7/2 -1/1 1 10 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0.157895 In 0.141251 0.174538 -17/3 1/0 1 10 0.176532 In 0.173248 0.179815 -16/3 0/1 1 10 0.187500 In 0.167736 0.207264 -14/3 1/0 1 10 0.214395 In 0.209552 0.219238 -13/3 1/0 1 10 0.230906 In 0.225289 0.236523 -11/3 0/1 1 10 0.272727 In 0.243979 0.301475 -10/3 1/0 1 10 0.300300 In 0.290804 0.309797 -8/3 0/1 1 10 0.375000 In 0.335472 0.414528 -7/3 0/1 1 10 0.428571 In 0.383396 0.473747 -5/3 1/0 1 10 0.602410 In 0.564310 0.640509 -4/3 0/1 1 10 0.750000 In 0.670943 0.829057 -2/3 1/0 1 10 1.538462 In 1.295209 1.781714 -1/3 1/0 1 10 3.333333 In 2.279241 4.387426 1/3 0/1 1 10 -3.000000 In -3.316228 -2.683772 2/3 1/0 1 10 -1.538462 In -1.781714 -1.295209 4/3 0/1 1 10 -0.750000 In -0.829057 -0.670943 5/3 0/1 1 10 -0.600000 In -0.663246 -0.536754 7/3 1/0 1 10 -0.429448 In -0.448848 -0.410047 8/3 0/1 1 10 -0.375000 In -0.414528 -0.335472 10/3 1/0 1 10 -0.300300 In -0.309797 -0.290804 11/3 1/0 1 10 -0.272953 In -0.280800 -0.265106 13/3 0/1 1 10 -0.230769 In -0.255094 -0.206444 14/3 1/0 1 10 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0.308467 In 0.276638 0.340295 -11/4 -1/1 1 10 0.363110 In 0.344801 0.381419 -9/4 3/1 1 10 0.453184 In 0.370277 0.536090 -7/4 -1/1 1 10 0.570552 In 0.551152 0.589953 -5/4 -1/1 1 10 0.799197 In 0.786497 0.811897 -3/4 1/1 1 10 1.359551 In 1.110832 1.608269 -1/4 -1/3 1 10 4.111111 In 3.759747 4.462475 1/4 1/1 1 10 -4.333333 In -5.387426 -3.279241 3/4 1/1 1 10 -1.337079 In -1.372610 -1.301547 5/4 -1/1 1 10 -0.807229 In -0.921528 -0.692930 7/4 3/1 1 10 -0.575884 In -0.608755 -0.543012 9/4 -1/1 1 10 -0.446230 In -0.497045 -0.395415 11/4 -1/1 1 10 -0.364764 In -0.403998 -0.325530 13/4 1/1 1 10 -0.307282 In -0.324133 -0.290432 15/4 -1/3 1 10 -0.268119 In -0.337017 -0.199221 17/4 1/1 1 10 -0.235029 In -0.249259 -0.220800 19/4 1/1 1 10 -0.210308 In -0.223451 -0.197164 21/4 -1/1 1 10 -0.190746 In -0.208677 -0.172815 23/4 3/1 1 10 -0.173641 In -0.180228 -0.167055 25/4 -1/1 1 10 -0.160186 In -0.174861 -0.145510 27/4 -1/1 1 10 -0.148306 In -0.161755 -0.134857 29/4 1/1 1 10 -0.137829 In -0.147230 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