SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 36 1 -50/1 -1836/1 1 36 0.000011 Out -0.003255 0.003277 -49/1 -1800/1 1 36 0.000011 Out -0.003320 0.003343 -48/1 -1764/1 1 36 0.000012 Out -0.003388 0.003411 -47/1 -1728/1 1 36 0.000012 Out -0.003458 0.003483 -46/1 -1692/1 1 36 0.000013 Out -0.003531 0.003557 -45/1 -1656/1 1 36 0.000013 Out -0.003608 0.003634 -44/1 -1620/1 1 36 0.000014 Out -0.003687 0.003715 -43/1 -1584/1 1 36 0.000015 Out -0.003771 0.003800 -42/1 -1548/1 1 36 0.000015 Out -0.003858 0.003889 -41/1 -1512/1 1 36 0.000016 Out -0.003949 0.003982 -40/1 -1476/1 1 36 0.000017 Out -0.004045 0.004079 -39/1 -1440/1 1 36 0.000018 Out -0.004146 0.004182 -38/1 -1404/1 1 36 0.000019 Out -0.004252 0.004289 -37/1 -1368/1 1 36 0.000020 Out -0.004363 0.004403 -36/1 -1332/1 1 36 0.000021 Out -0.004480 0.004522 -35/1 -1296/1 1 36 0.000022 Out -0.004604 0.004648 -34/1 -1260/1 1 36 0.000023 Out -0.004735 0.004781 -33/1 -1224/1 1 36 0.000025 Out 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0.000145 Out -0.011737 0.012027 -12/1 -468/1 1 36 0.000168 Out -0.012626 0.012963 -11/1 -432/1 1 36 0.000198 Out -0.013661 0.014056 -10/1 -396/1 1 36 0.000235 Out -0.014881 0.015351 -9/1 -360/1 1 36 0.000284 Out -0.016340 0.016908 -8/1 -324/1 1 36 0.000351 Out -0.018116 0.018817 -7/1 -288/1 1 36 0.000443 Out -0.020325 0.021212 -6/1 -252/1 1 36 0.000579 Out -0.023148 0.024306 -5/1 -216/1 1 36 0.000787 Out -0.026882 0.028455 -4/1 -180/1 1 36 0.001131 Out -0.032051 0.034314 -3/1 -144/1 1 36 0.001764 Out -0.039683 0.043210 -2/1 -108/1 1 36 0.003125 Out -0.052083 0.058333 -1/1 -72/1 1 36 0.006993 Out -0.075758 0.089744 0/1 -36/1 1 36 0.027778 Out -0.138889 0.194444 1/1 0/1 1 36 -1.000000 In -1.166667 -0.833333 2/1 36/1 1 36 0.031250 Out -0.145833 0.208333 3/1 72/1 1 36 0.007407 Out -0.077778 0.092593 4/1 108/1 1 36 0.003247 Out -0.053030 0.059524 5/1 144/1 1 36 0.001815 Out -0.040230 0.043860 6/1 180/1 1 36 0.001157 Out -0.032407 0.034722 7/1 216/1 1 36 0.000802 Out -0.027132 0.028736 8/1 252/1 1 36 0.000588 Out -0.023333 0.024510 9/1 288/1 1 36 0.000450 Out -0.020468 0.021368 10/1 324/1 1 36 0.000355 Out -0.018229 0.018939 11/1 360/1 1 36 0.000287 Out -0.016432 0.017007 12/1 396/1 1 36 0.000237 Out -0.014957 0.015432 13/1 432/1 1 36 0.000199 Out -0.013725 0.014124 14/1 468/1 1 36 0.000170 Out -0.012681 0.013021 15/1 504/1 1 36 0.000146 Out -0.011785 0.012077 16/1 540/1 1 36 0.000127 Out -0.011006 0.011261 17/1 576/1 1 36 0.000112 Out -0.010324 0.010549 18/1 612/1 1 36 0.000099 Out -0.009722 0.009921 19/1 648/1 1 36 0.000088 Out -0.009186 0.009363 20/1 684/1 1 36 0.000079 Out -0.008706 0.008865 21/1 720/1 1 36 0.000072 Out -0.008274 0.008418 22/1 756/1 1 36 0.000065 Out -0.007883 0.008013 23/1 792/1 1 36 0.000059 Out -0.007527 0.007645 24/1 828/1 1 36 0.000054 Out -0.007202 0.007310 25/1 864/1 1 36 0.000050 Out -0.006903 0.007003 26/1 900/1 1 36 0.000046 Out -0.006629 0.006720 27/1 936/1 1 36 0.000042 Out -0.006375 0.006460 28/1 972/1 1 36 0.000039 Out -0.006140 0.006219 29/1 1008/1 1 36 0.000037 Out -0.005922 0.005995 30/1 1044/1 1 36 0.000034 Out -0.005719 0.005787 31/1 1080/1 1 36 0.000032 Out -0.005529 0.005593 32/1 1116/1 1 36 0.000030 Out -0.005352 0.005411 33/1 1152/1 1 36 0.000028 Out -0.005185 0.005241 34/1 1188/1 1 36 0.000026 Out -0.005029 0.005081 35/1 1224/1 1 36 0.000025 Out -0.004881 0.004931 36/1 1260/1 1 36 0.000023 Out -0.004743 0.004789 37/1 1296/1 1 36 0.000022 Out -0.004611 0.004655 38/1 1332/1 1 36 0.000021 Out -0.004487 0.004529 39/1 1368/1 1 36 0.000020 Out -0.004370 0.004409 40/1 1404/1 1 36 0.000019 Out -0.004258 0.004296 41/1 1440/1 1 36 0.000018 Out -0.004152 0.004188 42/1 1476/1 1 36 0.000017 Out -0.004051 0.004085 43/1 1512/1 1 36 0.000016 Out -0.003955 0.003987 44/1 1548/1 1 36 0.000015 Out -0.003863 0.003894 45/1 1584/1 1 36 0.000015 Out -0.003776 0.003805 46/1 1620/1 1 36 0.000014 Out -0.003692 0.003720 47/1 1656/1 1 36 0.000014 Out -0.003612 0.003639 48/1 1692/1 1 36 0.000013 Out -0.003535 0.003561 49/1 1728/1 1 36 0.000012 Out -0.003462 0.003487 50/1 1764/1 1 36 0.000012 Out -0.003391 0.003415 -49/2 -918/1 2 18 0.000044 Out -0.006485 0.006573 -47/2 -882/1 2 18 0.000047 Out -0.006748 0.006843 -45/2 -846/1 2 18 0.000052 Out -0.007032 0.007136 -43/2 -810/1 2 18 0.000056 Out -0.007342 0.007455 -41/2 -774/1 2 18 0.000062 Out -0.007680 0.007804 -39/2 -738/1 2 18 0.000068 Out -0.008052 0.008187 -37/2 -702/1 2 18 0.000075 Out -0.008460 0.008610 -35/2 -666/1 2 18 0.000083 Out -0.008913 0.009079 -33/2 -630/1 2 18 0.000093 Out -0.009416 0.009602 -31/2 -594/1 2 18 0.000105 Out -0.009980 0.010189 -29/2 -558/1 2 18 0.000119 Out -0.010616 0.010853 -27/2 -522/1 2 18 0.000135 Out -0.011338 0.011609 -25/2 -486/1 2 18 0.000156 Out -0.012165 0.012478 -23/2 -450/1 2 18 0.000182 Out -0.013123 0.013487 -21/2 -414/1 2 18 0.000215 Out -0.014245 0.014675 -19/2 -378/1 2 18 0.000258 Out -0.015576 0.016092 -17/2 -342/1 2 18 0.000315 Out -0.017182 0.017812 -15/2 -306/1 2 18 0.000393 Out -0.019157 0.019943 -13/2 -270/1 2 18 0.000504 Out -0.021645 0.022654 -11/2 -234/1 2 18 0.000671 Out -0.024876 0.026217 -9/2 -198/1 2 18 0.000936 Out -0.029240 0.031111 -7/2 -162/1 2 18 0.001395 Out -0.035461 0.038251 -5/2 -126/1 2 18 0.002300 Out -0.045045 0.049645 -3/2 -90/1 2 18 0.004489 Out -0.061728 0.070707 -1/2 -54/1 2 18 0.012384 Out -0.098039 0.122807 1/2 -18/1 2 18 0.114286 Out -0.238095 0.466667 3/2 18/1 2 18 0.148148 Out -0.259259 0.555556 5/2 54/1 2 18 0.013378 Out -0.101449 0.128205 7/2 90/1 2 18 0.004700 Out -0.063063 0.072464 9/2 126/1 2 18 0.002377 Out -0.045752 0.050505 11/2 162/1 2 18 0.001431 Out -0.035897 0.038760 13/2 198/1 2 18 0.000955 Out -0.029536 0.031447 15/2 234/1 2 18 0.000683 Out -0.025090 0.026455 17/2 270/1 2 18 0.000512 Out -0.021807 0.022831 19/2 306/1 2 18 0.000398 Out -0.019284 0.020080 21/2 342/1 2 18 0.000319 Out -0.017284 0.017921 23/2 378/1 2 18 0.000261 Out -0.015660 0.016181 25/2 414/1 2 18 0.000217 Out -0.014315 0.014749 27/2 450/1 2 18 0.000184 Out -0.013183 0.013550 29/2 486/1 2 18 0.000157 Out -0.012216 0.012531 31/2 522/1 2 18 0.000136 Out -0.011382 0.011655 33/2 558/1 2 18 0.000119 Out -0.010654 0.010893 35/2 594/1 2 18 0.000105 Out -0.010014 0.010225 37/2 630/1 2 18 0.000094 Out -0.009447 0.009634 39/2 666/1 2 18 0.000084 Out -0.008940 0.009107 41/2 702/1 2 18 0.000075 Out -0.008485 0.008636 43/2 738/1 2 18 0.000068 Out -0.008074 0.008210 45/2 774/1 2 18 0.000062 Out -0.007701 0.007825 47/2 810/1 2 18 0.000057 Out -0.007361 0.007474 49/2 846/1 2 18 0.000052 Out -0.007049 0.007153 -50/3 -636/1 3 12 0.000091 Out -0.009328 0.009511 -49/3 -624/1 3 12 0.000095 Out -0.009506 0.009695 -47/3 -600/1 3 12 0.000103 Out -0.009881 0.010086 -46/3 -588/1 3 12 0.000107 Out -0.010081 0.010294 -44/3 -564/1 3 12 0.000116 Out -0.010504 0.010736 -43/3 -552/1 3 12 0.000121 Out -0.010730 0.010972 -41/3 -528/1 3 12 0.000132 Out -0.011211 0.011475 -40/3 -516/1 3 12 0.000139 Out -0.011468 0.011745 -38/3 -492/1 3 12 0.000152 Out -0.012019 0.012324 -37/3 -480/1 3 12 0.000160 Out -0.012315 0.012635 -35/3 -456/1 3 12 0.000177 Out -0.012953 0.013308 -34/3 -444/1 3 12 0.000187 Out -0.013298 0.013672 -32/3 -420/1 3 12 0.000209 Out -0.014045 0.014463 -31/3 -408/1 3 12 0.000221 Out -0.014451 0.014894 -29/3 -384/1 3 12 0.000250 Out -0.015337 0.015837 -28/3 -372/1 3 12 0.000266 Out -0.015823 0.016355 -26/3 -348/1 3 12 0.000304 Out -0.016892 0.017500 -25/3 -336/1 3 12 0.000326 Out -0.017483 0.018135 -23/3 -312/1 3 12 0.000378 Out -0.018797 0.019553 -22/3 -300/1 3 12 0.000409 Out -0.019531 0.020349 -20/3 -276/1 3 12 0.000483 Out -0.021186 0.022152 -19/3 -264/1 3 12 0.000527 Out -0.022124 0.023179 -17/3 -240/1 3 12 0.000638 Out -0.024272 0.025547 -16/3 -228/1 3 12 0.000706 Out -0.025510 0.026923 -14/3 -204/1 3 12 0.000882 Out -0.028409 0.030172 -13/3 -192/1 3 12 0.000995 Out -0.030120 0.032110 -11/3 -168/1 3 12 0.001298 Out -0.034247 0.036842 -10/3 -156/1 3 12 0.001504 Out -0.036765 0.039773 -8/3 -132/1 3 12 0.002097 Out -0.043103 0.047297 -7/3 -120/1 3 12 0.002534 Out -0.047170 0.052239 -5/3 -96/1 3 12 0.003949 Out -0.058140 0.066038 -4/3 -84/1 3 12 0.005149 Out -0.065789 0.076087 -2/3 -60/1 3 12 0.010045 Out -0.089286 0.109375 -1/3 -48/1 3 12 0.015652 Out -0.108696 0.140000 1/3 -24/1 3 12 0.062937 Out -0.192308 0.318182 2/3 -12/1 3 12 0.281250 Out -0.312500 0.875000 4/3 12/1 3 12 0.450000 Out -0.350000 1.250000 5/3 24/1 3 12 0.075630 Out -0.205882 0.357143 7/3 48/1 3 12 0.017078 Out -0.112903 0.147059 8/3 60/1 3 12 0.010766 Out -0.092105 0.113636 10/3 84/1 3 12 0.005409 Out -0.067308 0.078125 11/3 96/1 3 12 0.004123 Out -0.059322 0.067568 13/3 120/1 3 12 0.002623 Out -0.047945 0.053191 14/3 132/1 3 12 0.002163 Out -0.043750 0.048077 16/3 156/1 3 12 0.001544 Out -0.037234 0.040323 17/3 168/1 3 12 0.001330 Out -0.034653 0.037313 19/3 192/1 3 12 0.001016 Out -0.030435 0.032468 20/3 204/1 3 12 0.000900 Out -0.028689 0.030488 22/3 228/1 3 12 0.000719 Out -0.025735 0.027174 23/3 240/1 3 12 0.000649 Out -0.024476 0.025773 25/3 264/1 3 12 0.000536 Out -0.022293 0.023364 26/3 276/1 3 12 0.000490 Out -0.021341 0.022321 28/3 300/1 3 12 0.000414 Out -0.019663 0.020492 29/3 312/1 3 12 0.000383 Out -0.018919 0.019685 31/3 336/1 3 12 0.000330 Out -0.017588 0.018248 32/3 348/1 3 12 0.000308 Out -0.016990 0.017606 34/3 372/1 3 12 0.000269 Out -0.015909 0.016447 35/3 384/1 3 12 0.000253 Out -0.015419 0.015924 37/3 408/1 3 12 0.000224 Out -0.014523 0.014970 38/3 420/1 3 12 0.000211 Out -0.014113 0.014535 40/3 444/1 3 12 0.000189 Out -0.013359 0.013736 41/3 456/1 3 12 0.000179 Out -0.013011 0.013369 43/3 480/1 3 12 0.000161 Out -0.012367 0.012690 44/3 492/1 3 12 0.000154 Out -0.012069 0.012376 46/3 516/1 3 12 0.000140 Out -0.011513 0.011792 47/3 528/1 3 12 0.000133 Out -0.011254 0.011521 49/3 552/1 3 12 0.000122 Out -0.010769 0.011013 50/3 564/1 3 12 0.000117 Out -0.010542 0.010776 -49/4 -477/1 4 9 0.000162 Out -0.012392 0.012716 -47/4 -459/1 4 9 0.000175 Out -0.012870 0.013220 -45/4 -441/1 4 9 0.000190 Out -0.013387 0.013766 -43/4 -423/1 4 9 0.000206 Out -0.013947 0.014359 -41/4 -405/1 4 9 0.000225 Out -0.014556 0.015005 -39/4 -387/1 4 9 0.000246 Out -0.015221 0.015713 -37/4 -369/1 4 9 0.000271 Out -0.015949 0.016490 -35/4 -351/1 4 9 0.000299 Out -0.016750 0.017348 -33/4 -333/1 4 9 0.000332 Out -0.017637 0.018301 -31/4 -315/1 4 9 0.000371 Out -0.018622 0.019364 -29/4 -297/1 4 9 0.000417 Out -0.019724 0.020558 -27/4 -279/1 4 9 0.000472 Out -0.020964 0.021909 -25/4 -261/1 4 9 0.000540 Out -0.022371 0.023451 -23/4 -243/1 4 9 0.000622 Out -0.023981 0.025225 -21/4 -225/1 4 9 0.000725 Out -0.025840 0.027290 -19/4 -207/1 4 9 0.000856 Out -0.028011 0.029724 -17/4 -189/1 4 9 0.001026 Out -0.030581 0.032634 -15/4 -171/1 4 9 0.001253 Out -0.033670 0.036176 -13/4 -153/1 4 9 0.001563 Out -0.037453 0.040580 -11/4 -135/1 4 9 0.002005 Out -0.042194 0.046205 -9/4 -117/1 4 9 0.002665 Out -0.048309 0.053640 -7/4 -99/1 4 9 0.003715 Out -0.056497 0.063927 -5/4 -81/1 4 9 0.005534 Out -0.068027 0.079096 -3/4 -63/1 4 9 0.009117 Out -0.085470 0.103704 -1/4 -45/1 4 9 0.017798 Out -0.114943 0.150538 1/4 -27/1 4 9 0.049536 Out -0.175439 0.274510 3/4 -9/1 4 9 0.592593 Out -0.370370 1.555556 5/4 9/1 4 9 1.454545 Out -0.424242 3.333333 7/4 27/1 4 9 0.058182 Out -0.186667 0.303030 9/4 45/1 4 9 0.019536 Out -0.119658 0.158730 11/4 63/1 4 9 0.009738 Out -0.088050 0.107527 13/4 81/1 4 9 0.005825 Out -0.069652 0.081301 15/4 99/1 4 9 0.003873 Out -0.057613 0.065359 17/4 117/1 4 9 0.002761 Out -0.049123 0.054645 19/4 135/1 4 9 0.002067 Out -0.042813 0.046948 21/4 153/1 4 9 0.001606 Out -0.037940 0.041152 23/4 171/1 4 9 0.001283 Out -0.034063 0.036630 25/4 189/1 4 9 0.001049 Out -0.030905 0.033003 27/4 207/1 4 9 0.000874 Out -0.028283 0.030030 29/4 225/1 4 9 0.000739 Out -0.026071 0.027548 31/4 243/1 4 9 0.000633 Out -0.024180 0.025445 33/4 261/1 4 9 0.000548 Out -0.022544 0.023641 35/4 279/1 4 9 0.000479 Out -0.021116 0.022075 37/4 297/1 4 9 0.000423 Out -0.019858 0.020704 39/4 315/1 4 9 0.000376 Out -0.018742 0.019493 41/4 333/1 4 9 0.000336 Out -0.017744 0.018416 43/4 351/1 4 9 0.000302 Out -0.016847 0.017452 45/4 369/1 4 9 0.000274 Out -0.016037 0.016584 47/4 387/1 4 9 0.000249 Out -0.015301 0.015798 49/4 405/1 4 9 0.000227 Out -0.014629 0.015083 -49/5 -1944/5 1 36 0.000244 Out -0.015152 0.015639 -48/5 -1908/5 1 36 0.000253 Out -0.015432 0.015938 -47/5 -1872/5 1 36 0.000263 Out -0.015723 0.016249 -46/5 -1836/5 1 36 0.000273 Out -0.016026 0.016572 -44/5 -1764/5 1 36 0.000296 Out -0.016667 0.017258 -43/5 -1728/5 1 36 0.000308 Out -0.017007 0.017623 -42/5 -1692/5 1 36 0.000322 Out -0.017361 0.018004 -41/5 -1656/5 1 36 0.000336 Out -0.017730 0.018402 -39/5 -1584/5 1 36 0.000367 Out -0.018519 0.019252 -38/5 -1548/5 1 36 0.000384 Out -0.018939 0.019707 -37/5 -1512/5 1 36 0.000402 Out -0.019380 0.020185 -36/5 -1476/5 1 36 0.000422 Out -0.019841 0.020686 -34/5 -1404/5 1 36 0.000466 Out -0.020833 0.021766 -33/5 -1368/5 1 36 0.000491 Out -0.021368 0.022350 -32/5 -1332/5 1 36 0.000518 Out -0.021930 0.022966 -31/5 -1296/5 1 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