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 0/1 1 6 0.020000 In 0.011835 0.028165 -49/1 1/1 1 6 0.020479 In 0.011977 0.028981 -48/1 0/1 1 6 0.020833 In 0.012328 0.029339 -47/1 1/1 1 6 0.021354 In 0.012482 0.030225 -46/1 0/1 1 6 0.021739 In 0.012864 0.030614 -45/1 1/1 1 6 0.022306 In 0.013032 0.031581 -44/1 0/1 1 6 0.022727 In 0.013449 0.032006 -43/1 1/1 1 6 0.023348 In 0.013632 0.033064 -42/1 0/1 1 6 0.023810 In 0.014089 0.033530 -41/1 1/1 1 6 0.024492 In 0.014291 0.034693 -40/1 0/1 1 6 0.025000 In 0.014794 0.035206 -39/1 1/1 1 6 0.025753 In 0.015016 0.036491 -38/1 0/1 1 6 0.026316 In 0.015572 0.037059 -37/1 1/1 1 6 0.027152 In 0.015819 0.038485 -36/1 0/1 1 6 0.027778 In 0.016438 0.039118 -35/1 1/1 1 6 0.028711 In 0.016712 0.040711 -34/1 0/1 1 6 0.029412 In 0.017404 0.041419 -33/1 1/1 1 6 0.030461 In 0.017713 0.043209 -32/1 0/1 1 6 0.031250 In 0.018492 0.044008 -31/1 1/1 1 6 0.032437 In 0.018841 0.046034 -30/1 0/1 1 6 0.033333 In 0.019725 0.046942 -29/1 1/1 1 6 0.034688 In 0.020122 0.049254 -28/1 0/1 1 6 0.035714 In 0.021134 0.050295 -27/1 1/1 1 6 0.037274 In 0.021590 0.052958 -26/1 0/1 1 6 0.038462 In 0.022760 0.054163 -25/1 1/1 1 6 0.040277 In 0.023290 0.057265 -24/1 0/1 1 6 0.041667 In 0.024656 0.058677 -23/1 1/1 1 6 0.043807 In 0.025280 0.062335 -22/1 0/1 1 6 0.045455 In 0.026898 0.064011 -21/1 1/1 1 6 0.048015 In 0.027641 0.068389 -20/1 0/1 1 6 0.050000 In 0.029588 0.070412 -19/1 1/1 1 6 0.053118 In 0.030490 0.075746 -18/1 0/1 1 6 0.055556 In 0.032875 0.078236 -17/1 1/1 1 6 0.059435 In 0.033993 0.084876 -16/1 0/1 1 6 0.062500 In 0.036984 0.088016 -15/1 1/1 1 6 0.067457 In 0.038405 0.096510 -14/1 0/1 1 6 0.071429 In 0.042268 0.100589 -13/1 1/1 1 6 0.077986 In 0.044133 0.111839 -12/1 0/1 1 6 0.083333 In 0.049313 0.117354 -11/1 1/1 1 6 0.092414 In 0.051871 0.132957 -10/1 0/1 1 6 0.100000 In 0.059175 0.140825 -9/1 1/1 1 6 0.113402 In 0.062897 0.163907 -8/1 0/1 1 6 0.125000 In 0.073969 0.176031 -7/1 1/1 1 6 0.146758 In 0.079877 0.213638 -6/1 0/1 1 6 0.166667 In 0.098625 0.234708 -5/1 1/1 1 6 0.208054 In 0.109417 0.306691 -4/1 0/1 1 6 0.250000 In 0.147938 0.352062 -3/1 1/1 1 6 0.358491 In 0.173623 0.543358 -2/1 0/1 1 6 0.500000 In 0.295876 0.704124 -1/1 1/1 1 6 1.400000 In 0.420204 2.379796 0/1 0/1 1 6 1/1 1/1 1 6 2/1 0/1 1 6 -0.500000 In -0.704124 -0.295876 3/1 1/1 1 6 -0.320755 In -0.413188 -0.228321 4/1 0/1 1 6 -0.250000 In -0.352062 -0.147938 5/1 1/1 1 6 -0.194631 In -0.260389 -0.128873 6/1 0/1 1 6 -0.166667 In -0.234708 -0.098625 7/1 1/1 1 6 -0.139932 In -0.190092 -0.089772 8/1 0/1 1 6 -0.125000 In -0.176031 -0.073969 9/1 1/1 1 6 -0.109278 In -0.149682 -0.068874 10/1 0/1 1 6 -0.100000 In -0.140825 -0.059175 11/1 1/1 1 6 -0.089655 In -0.123441 -0.055869 12/1 0/1 1 6 -0.083333 In -0.117354 -0.049313 13/1 1/1 1 6 -0.076012 In -0.105029 -0.046995 14/1 0/1 1 6 -0.071429 In -0.100589 -0.042268 15/1 1/1 1 6 -0.065975 In -0.091396 -0.040554 16/1 0/1 1 6 -0.062500 In -0.088016 -0.036984 17/1 1/1 1 6 -0.058280 In -0.080895 -0.035665 18/1 0/1 1 6 -0.055556 In -0.078236 -0.032875 19/1 1/1 1 6 -0.052194 In -0.072559 -0.031829 20/1 0/1 1 6 -0.050000 In -0.070412 -0.029588 21/1 1/1 1 6 -0.047259 In -0.065781 -0.028737 22/1 0/1 1 6 -0.045455 In -0.064011 -0.026898 23/1 1/1 1 6 -0.043177 In -0.060160 -0.026193 24/1 0/1 1 6 -0.041667 In -0.058677 -0.024656 25/1 1/1 1 6 -0.039744 In -0.055425 -0.024063 26/1 0/1 1 6 -0.038462 In -0.054163 -0.022760 27/1 1/1 1 6 -0.036817 In -0.051380 -0.022253 28/1 0/1 1 6 -0.035714 In -0.050295 -0.021134 29/1 1/1 1 6 -0.034291 In -0.047886 -0.020697 30/1 0/1 1 6 -0.033333 In -0.046942 -0.019725 31/1 1/1 1 6 -0.032090 In -0.044837 -0.019344 32/1 0/1 1 6 -0.031250 In -0.044008 -0.018492 33/1 1/1 1 6 -0.030155 In -0.042153 -0.018156 34/1 0/1 1 6 -0.029412 In -0.041419 -0.017404 35/1 1/1 1 6 -0.028439 In -0.039772 -0.017107 36/1 0/1 1 6 -0.027778 In -0.039118 -0.016438 37/1 1/1 1 6 -0.026909 In -0.037645 -0.016172 38/1 0/1 1 6 -0.026316 In -0.037059 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0.103696 -29/2 1/0 2 6 0.068993 In 0.067619 0.070366 -27/2 1/2 2 6 0.075023 In 0.030652 0.119394 -25/2 1/0 2 6 0.080043 In 0.078194 0.081891 -23/2 1/2 2 6 0.088272 In 0.035852 0.140693 -21/2 1/0 2 6 0.095310 In 0.092690 0.097930 -19/2 1/2 2 6 0.107209 In 0.043177 0.171240 -17/2 1/0 2 6 0.117783 In 0.113783 0.121783 -15/2 1/2 2 6 0.136499 In 0.054265 0.218732 -13/2 1/0 2 6 0.154150 In 0.147304 0.160996 -11/2 1/2 2 6 0.187845 In 0.073013 0.302677 -9/2 1/0 2 6 0.223140 In 0.208826 0.237455 -7/2 1/2 2 6 0.301370 In 0.111556 0.491184 -5/2 1/0 2 6 0.405405 In 0.358593 0.452218 -3/2 1/2 2 6 0.769231 In 0.236292 1.302169 -1/2 1/0 2 6 3.000000 In 1.267949 4.732051 1/2 1/2 2 6 3/2 1/0 2 6 -0.692308 In -0.825542 -0.559073 5/2 1/2 2 6 -0.378378 In -0.565627 -0.191130 7/2 1/0 2 6 -0.287671 In -0.311398 -0.263945 9/2 1/2 2 6 -0.214876 In -0.329392 -0.100360 11/2 1/0 2 6 -0.182320 In -0.191890 -0.172751 13/2 1/2 2 6 -0.150198 In -0.232350 -0.068045 15/2 1/0 2 6 -0.133531 In -0.138671 -0.128392 17/2 1/2 2 6 -0.115473 In -0.179475 -0.051472 19/2 1/0 2 6 -0.105360 In -0.108562 -0.102159 21/2 1/2 2 6 -0.093797 In -0.146204 -0.041390 23/2 1/0 2 6 -0.087011 In -0.089196 -0.084827 25/2 1/2 2 6 -0.078975 In -0.123340 -0.034611 27/2 1/0 2 6 -0.074108 In -0.075693 -0.072523 29/2 1/2 2 6 -0.068200 In -0.106659 -0.029740 31/2 1/0 2 6 -0.064539 In -0.065740 -0.063337 33/2 1/2 2 6 -0.060012 In -0.093953 -0.026071 35/2 1/0 2 6 -0.057158 In -0.058101 -0.056216 37/2 1/2 2 6 -0.053580 In -0.083952 -0.023208 39/2 1/0 2 6 -0.051293 In -0.052053 -0.050534 41/2 1/2 2 6 -0.048393 In -0.075875 -0.020912 43/2 1/0 2 6 -0.046520 In -0.047145 -0.045895 45/2 1/2 2 6 -0.044122 In -0.069216 -0.019029 47/2 1/0 2 6 -0.042560 In -0.043082 -0.042037 49/2 1/2 2 6 -0.040544 In -0.063632 -0.017457 -50/3 1/1 1 2 0.060212 In 0.045218 0.075206 -49/3 0/1 1 2 0.061224 In 0.046794 0.075655 -47/3 0/1 1 2 0.063830 In 0.048785 0.078875 -46/3 1/1 1 2 0.065469 In 0.049091 0.081847 -44/3 1/1 1 2 0.068458 In 0.051287 0.085629 -43/3 0/1 1 2 0.069767 In 0.053323 0.086212 -41/3 0/1 1 2 0.073171 In 0.055924 0.090417 -40/3 1/1 1 2 0.075336 In 0.056327 0.094345 -38/3 1/1 1 2 0.079321 In 0.059237 0.099405 -37/3 0/1 1 2 0.081081 In 0.061970 0.100192 -35/3 0/1 1 2 0.085714 In 0.065511 0.105917 -34/3 1/1 1 2 0.088706 In 0.066064 0.111348 -32/3 1/1 1 2 0.094284 In 0.070104 0.118465 -31/3 0/1 1 2 0.096774 In 0.073964 0.119584 -29/3 0/1 1 2 0.103448 In 0.079065 0.127831 -28/3 1/1 1 2 0.107849 In 0.079872 0.135827 -26/3 1/1 1 2 0.116210 In 0.085853 0.146567 -25/3 0/1 1 2 0.120000 In 0.091716 0.148284 -23/3 0/1 1 2 0.130435 In 0.099691 0.161179 -22/3 1/1 1 2 0.137539 In 0.100977 0.174101 -20/3 1/1 1 2 0.151439 In 0.110730 0.192149 -19/3 0/1 1 2 0.157895 In 0.120679 0.195111 -17/3 0/1 1 2 0.176471 In 0.134876 0.218065 -16/3 1/1 1 2 0.189824 In 0.137241 0.242407 -14/3 1/1 1 2 0.217391 In 0.155904 0.278879 -13/3 0/1 1 2 0.230769 In 0.176376 0.285162 -11/3 0/1 1 2 0.272727 In 0.208445 0.337010 -10/3 1/1 1 2 0.306533 In 0.214147 0.398918 -8/3 1/1 1 2 0.385827 In 0.263336 0.508318 -7/3 0/1 1 2 0.428571 In 0.327556 0.529587 -5/3 0/1 1 2 0.600000 In 0.458579 0.741421 -4/3 1/1 1 2 0.806452 In 0.487113 1.125790 -2/3 1/1 1 2 1.857143 In 0.846990 2.867295 -1/3 0/1 1 2 3.000000 In 2.292893 3.707107 1/3 0/1 1 2 -3.000000 In -3.707107 -2.292893 2/3 1/1 1 2 -1.571429 In -1.773459 -1.369398 4/3 1/1 1 2 -0.741935 In -0.787555 -0.696316 5/3 0/1 1 2 -0.600000 In -0.741421 -0.458579 7/3 0/1 1 2 -0.428571 In -0.529587 -0.327556 8/3 1/1 1 2 -0.370079 In -0.425756 -0.314401 10/3 1/1 1 2 -0.296482 In -0.346229 -0.246736 11/3 0/1 1 2 -0.272727 In -0.337010 -0.208445 13/3 0/1 1 2 -0.230769 In -0.285162 -0.176376 14/3 1/1 1 2 -0.212276 In -0.252062 -0.172490 16/3 1/1 1 2 -0.185910 In -0.221888 -0.149932 17/3 0/1 1 2 -0.176471 In -0.218065 -0.134876 19/3 0/1 1 2 -0.157895 In -0.195111 -0.120679 20/3 1/1 1 2 -0.148936 In -0.179026 -0.118847 22/3 1/1 1 2 -0.135471 In -0.163258 -0.107683 23/3 0/1 1 2 -0.130435 In -0.161179 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0.176788 -29/5 1/1 1 6 0.172646 In 0.156138 0.189154 -28/5 0/1 1 6 0.178571 In 0.163991 0.193152 -27/5 1/1 1 6 0.185456 In 0.167532 0.203381 -26/5 0/1 1 6 0.192308 In 0.176606 0.208010 -24/5 0/1 1 6 0.208333 In 0.191323 0.225344 -23/5 1/1 1 6 0.217775 In 0.196160 0.239390 -22/5 0/1 1 6 0.227273 In 0.208716 0.245829 -21/5 1/1 1 6 0.238563 In 0.214485 0.262641 -19/5 1/1 1 6 0.263741 In 0.236588 0.290895 -18/5 0/1 1 6 0.277778 In 0.255097 0.300458 -17/5 1/1 1 6 0.294864 In 0.263769 0.325960 -16/5 0/1 1 6 0.312500 In 0.286984 0.338016 -14/5 0/1 1 6 0.357143 In 0.327982 0.386303 -13/5 1/1 1 6 0.385982 In 0.342457 0.429507 -12/5 0/1 1 6 0.416667 In 0.382646 0.450687 -11/5 1/1 1 6 0.456552 In 0.402494 0.510609 -9/5 1/1 1 6 0.558763 In 0.488056 0.629470 -8/5 0/1 1 6 0.625000 In 0.573969 0.676031 -7/5 1/1 1 6 0.720137 In 0.619816 0.820457 -6/5 0/1 1 6 0.833333 In 0.765292 0.901375 -4/5 0/1 1 6 1.250000 In 1.147938 1.352062 -3/5 1/1 1 6 1.716981 In 1.347247 2.086715 -2/5 0/1 1 6 2.500000 In 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