SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 -50/1 1 11 -49/1 1/0 1 11 0.020409 In 0.020283 0.020535 -48/1 -48/1 1 11 -47/1 1/0 1 11 0.021277 In 0.021141 0.021414 -46/1 -46/1 1 11 -45/1 1/0 1 11 0.022223 In 0.022074 0.022372 -44/1 -44/1 1 11 -43/1 1/0 1 11 0.023257 In 0.023094 0.023420 -42/1 -42/1 1 11 -41/1 1/0 1 11 0.024392 In 0.024212 0.024571 -40/1 -40/1 1 11 -39/1 1/0 1 11 0.025643 In 0.025444 0.025841 -38/1 -38/1 1 11 -37/1 1/0 1 11 0.027029 In 0.026809 0.027249 -36/1 -36/1 1 11 -35/1 1/0 1 11 0.028574 In 0.028327 0.028820 -34/1 -34/1 1 11 -33/1 1/0 1 11 0.030306 In 0.030029 0.030582 -32/1 -32/1 1 11 -31/1 1/0 1 11 0.032261 In 0.031947 0.032575 -30/1 -30/1 1 11 -29/1 1/0 1 11 0.034486 In 0.034128 0.034845 -28/1 -28/1 1 11 -27/1 1/0 1 11 0.037042 In 0.036628 0.037455 -26/1 -26/1 1 11 -25/1 1/0 1 11 0.040006 In 0.039523 0.040488 -24/1 -24/1 1 11 -23/1 1/0 1 11 0.043486 In 0.042916 0.044056 -22/1 -22/1 1 11 -21/1 1/0 1 11 0.047629 In 0.046945 0.048313 -20/1 -20/1 1 11 -19/1 1/0 1 11 0.052645 In 0.051809 0.053480 -18/1 -18/1 1 11 -17/1 1/0 1 11 0.058842 In 0.057798 0.059886 -16/1 -16/1 1 11 -15/1 1/0 1 11 0.066694 In 0.065353 0.068034 -14/1 -14/1 1 11 -13/1 1/0 1 11 0.076964 In 0.075179 0.078750 -12/1 -12/1 1 11 -11/1 1/0 1 11 0.090977 In 0.088484 0.093471 -10/1 -10/1 1 11 -9/1 1/0 1 11 0.111236 In 0.107509 0.114962 -8/1 -8/1 1 11 -7/1 1/0 1 11 0.143123 In 0.136958 0.149287 -6/1 -6/1 1 11 -5/1 1/0 1 11 0.200730 In 0.188625 0.212834 -4/1 -4/1 1 11 -3/1 1/0 1 11 0.336735 In 0.302892 0.370578 -2/1 -2/1 1 11 -1/1 1/0 1 11 1.100000 In 0.768338 1.431662 0/1 0/1 1 11 1/1 1/0 1 11 -1.100000 In -1.431662 -0.768338 2/1 2/1 1 11 3/1 1/0 1 11 -0.336735 In -0.370578 -0.302892 4/1 4/1 1 11 5/1 1/0 1 11 -0.200730 In -0.212834 -0.188625 6/1 6/1 1 11 7/1 1/0 1 11 -0.143123 In -0.149287 -0.136958 8/1 8/1 1 11 9/1 1/0 1 11 -0.111236 In -0.114962 -0.107509 10/1 10/1 1 11 11/1 1/0 1 11 -0.090977 In -0.093471 -0.088484 12/1 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11 45/1 1/0 1 11 -0.022223 In -0.022372 -0.022074 46/1 46/1 1 11 47/1 1/0 1 11 -0.021277 In -0.021414 -0.021141 48/1 48/1 1 11 49/1 1/0 1 11 -0.020409 In -0.020535 -0.020283 50/1 50/1 1 11 -49/2 -25/1 1 11 0.040836 In 0.040707 0.040965 -47/2 -23/1 1 11 0.042533 In 0.042393 0.042672 -45/2 -23/1 1 11 0.044468 In 0.044315 0.044620 -43/2 -21/1 1 11 0.046487 In 0.046320 0.046654 -41/2 -21/1 1 11 0.048809 In 0.048625 0.048993 -39/2 -19/1 1 11 0.051252 In 0.051050 0.051455 -37/2 -19/1 1 11 0.054089 In 0.053863 0.054315 -35/2 -17/1 1 11 0.057106 In 0.056854 0.057358 -33/2 -17/1 1 11 0.060650 In 0.060366 0.060934 -31/2 -15/1 1 11 0.064469 In 0.064149 0.064790 -29/2 -15/1 1 11 0.069023 In 0.068655 0.069390 -27/2 -13/1 1 11 0.074013 In 0.073590 0.074435 -25/2 -13/1 1 11 0.080078 In 0.079583 0.080572 -23/2 -11/1 1 11 0.086873 In 0.086291 0.087455 -21/2 -11/1 1 11 0.095349 In 0.094648 0.096050 -19/2 -9/1 1 11 0.105141 In 0.104289 0.105994 -17/2 -9/1 1 11 0.117818 In 0.116747 0.118889 -15/2 -7/1 1 11 0.133141 In 0.131774 0.134508 -13/2 -7/1 1 11 0.154144 In 0.152311 0.155976 -11/2 -5/1 1 11 0.181470 In 0.178931 0.184010 -9/2 -5/1 1 11 0.222864 In 0.219034 0.226694 -7/2 -3/1 1 11 0.284906 In 0.278648 0.291163 -5/2 -3/1 1 11 0.402256 In 0.389787 0.414724 -3/2 -1/1 1 11 0.663265 In 0.629422 0.697108 -1/2 -1/1 1 11 2.100000 In 1.768338 2.431662 1/2 1/1 1 11 -2.100000 In -2.431662 -1.768338 3/2 1/1 1 11 -0.663265 In -0.697108 -0.629422 5/2 3/1 1 11 -0.402256 In -0.414724 -0.389787 7/2 3/1 1 11 -0.284906 In -0.291163 -0.278648 9/2 5/1 1 11 -0.222864 In -0.226694 -0.219034 11/2 5/1 1 11 -0.181470 In -0.184010 -0.178931 13/2 7/1 1 11 -0.154144 In -0.155976 -0.152311 15/2 7/1 1 11 -0.133141 In -0.134508 -0.131774 17/2 9/1 1 11 -0.117818 In -0.118889 -0.116747 19/2 9/1 1 11 -0.105141 In -0.105994 -0.104289 21/2 11/1 1 11 -0.095349 In -0.096050 -0.094648 23/2 11/1 1 11 -0.086873 In -0.087455 -0.086291 25/2 13/1 1 11 -0.080078 In -0.080572 -0.079583 27/2 13/1 1 11 -0.074013 In -0.074435 -0.073590 29/2 15/1 1 11 -0.069023 In -0.069390 -0.068655 31/2 15/1 1 11 -0.064469 In -0.064790 -0.064149 33/2 17/1 1 11 -0.060650 In -0.060934 -0.060366 35/2 17/1 1 11 -0.057106 In -0.057358 -0.056854 37/2 19/1 1 11 -0.054089 In -0.054315 -0.053863 39/2 19/1 1 11 -0.051252 In -0.051455 -0.051050 41/2 21/1 1 11 -0.048809 In -0.048993 -0.048625 43/2 21/1 1 11 -0.046487 In -0.046654 -0.046320 45/2 23/1 1 11 -0.044468 In -0.044620 -0.044315 47/2 23/1 1 11 -0.042533 In -0.042672 -0.042393 49/2 25/1 1 11 -0.040836 In -0.040965 -0.040707 -50/3 -18/1 1 11 0.060053 In 0.059565 0.060541 -49/3 1/0 1 11 0.061227 In 0.060850 0.061604 -47/3 1/0 1 11 0.063832 In 0.063423 0.064242 -46/3 -14/1 1 11 0.065165 In 0.064590 0.065739 -44/3 -16/1 1 11 0.068251 In 0.067620 0.068881 -43/3 1/0 1 11 0.069771 In 0.069282 0.070260 -41/3 1/0 1 11 0.073175 In 0.072637 0.073713 -40/3 -12/1 1 11 0.074931 In 0.074171 0.075691 -38/3 -14/1 1 11 0.079041 In 0.078196 0.079887 -37/3 1/0 1 11 0.081086 In 0.080426 0.081747 -35/3 1/0 1 11 0.085721 In 0.084982 0.086459 -34/3 -10/1 1 11 0.088142 In 0.087090 0.089194 -32/3 -12/1 1 11 0.093885 In 0.092692 0.095078 -31/3 1/0 1 11 0.096783 In 0.095842 0.097725 -29/3 1/0 1 11 0.103459 In 0.102384 0.104535 -28/3 -8/1 1 11 0.107009 In 0.105460 0.108559 -26/3 -10/1 1 11 0.115594 In 0.113786 0.117403 -25/3 1/0 1 11 0.120017 In 0.118570 0.121465 -23/3 1/0 1 11 0.130457 In 0.128747 0.132167 -22/3 -6/1 1 11 0.136157 In 0.133649 0.138666 -20/3 -8/1 1 11 0.150369 In 0.147309 0.153429 -19/3 1/0 1 11 0.157935 In 0.155428 0.160441 -17/3 1/0 1 11 0.176526 In 0.173395 0.179657 -16/3 -4/1 1 11 0.187143 In 0.182405 0.191881 -14/3 -6/1 1 11 0.215094 In 0.208837 0.221352 -13/3 1/0 1 11 0.230893 In 0.225538 0.236249 -11/3 1/0 1 11 0.272932 In 0.265451 0.280413 -10/3 -2/1 1 11 0.299270 In 0.287166 0.311375 -8/3 -4/1 1 11 0.377907 In 0.358624 0.397190 -7/3 1/0 1 11 0.429368 In 0.410874 0.447862 -5/3 1/0 1 11 0.602190 In 0.565876 0.638503 -4/3 0/1 1 11 0.750000 In 0.674622 0.825378 -2/3 -2/1 1 11 1.600000 In 1.268338 1.931662 -1/3 1/0 1 11 3.300000 In 2.305013 4.294987 1/3 1/0 1 11 -3.300000 In -4.294987 -2.305013 2/3 2/1 1 11 -1.600000 In -1.931662 -1.268338 4/3 0/1 1 11 -0.750000 In -0.825378 -0.674622 5/3 1/0 1 11 -0.602190 In -0.638503 -0.565876 7/3 1/0 1 11 -0.429368 In -0.447862 -0.410874 8/3 4/1 1 11 -0.377907 In -0.397190 -0.358624 10/3 2/1 1 11 -0.299270 In -0.311375 -0.287166 11/3 1/0 1 11 -0.272932 In -0.280413 -0.265451 13/3 1/0 1 11 -0.230893 In -0.236249 -0.225538 14/3 6/1 1 11 -0.215094 In -0.221352 -0.208837 16/3 4/1 1 11 -0.187143 In -0.191881 -0.182405 17/3 1/0 1 11 -0.176526 In -0.179657 -0.173395 19/3 1/0 1 11 -0.157935 In -0.160441 -0.155428 20/3 8/1 1 11 -0.150369 In -0.153429 -0.147309 22/3 6/1 1 11 -0.136157 In -0.138666 -0.133649 23/3 1/0 1 11 -0.130457 In -0.132167 -0.128747 25/3 1/0 1 11 -0.120017 In -0.121465 -0.118570 26/3 10/1 1 11 -0.115594 In -0.117403 -0.113786 28/3 8/1 1 11 -0.107009 In -0.108559 -0.105460 29/3 1/0 1 11 -0.103459 In -0.104535 -0.102384 31/3 1/0 1 11 -0.096783 In -0.097725 -0.095842 32/3 12/1 1 11 -0.093885 In -0.095078 -0.092692 34/3 10/1 1 11 -0.088142 In -0.089194 -0.087090 35/3 1/0 1 11 -0.085721 In -0.086459 -0.084982 37/3 1/0 1 11 -0.081086 In -0.081747 -0.080426 38/3 14/1 1 11 -0.079041 In -0.079887 -0.078196 40/3 12/1 1 11 -0.074931 In -0.075691 -0.074171 41/3 1/0 1 11 -0.073175 In -0.073713 -0.072637 43/3 1/0 1 11 -0.069771 In -0.070260 -0.069282 44/3 16/1 1 11 -0.068251 In -0.068881 -0.067620 46/3 14/1 1 11 -0.065165 In -0.065739 -0.064590 47/3 1/0 1 11 -0.063832 In -0.064242 -0.063423 49/3 1/0 1 11 -0.061227 In -0.061604 -0.060850 50/3 18/1 1 11 -0.060053 In -0.060541 -0.059565 -49/4 -13/1 1 11 0.081663 In 0.081284 0.082042 -47/4 -11/1 1 11 0.085077 In 0.084666 0.085489 -45/4 -9/1 1 11 0.088808 In 0.087463 0.090153 -43/4 -13/1 1 11 0.093158 In 0.091678 0.094638 -41/4 -11/1 1 11 0.097605 In 0.097063 0.098146 -39/4 -9/1 1 11 0.102523 In 0.101925 0.103120 -37/4 -7/1 1 11 0.107995 In 0.106006 0.109983 -35/4 -11/1 1 11 0.114498 In 0.112262 0.116733 -33/4 -9/1 1 11 0.121281 In 0.120445 0.122117 -31/4 -7/1 1 11 0.128968 In 0.128022 0.129914 -29/4 -5/1 1 11 0.137763 In 0.134527 0.140998 -27/4 -9/1 1 11 0.148526 In 0.144766 0.152286 -25/4 -7/1 1 11 0.160123 In 0.158665 0.161581 -23/4 -5/1 1 11 0.173800 In 0.172083 0.175518 -21/4 -3/1 1 11 0.190211 In 0.184046 0.196375 -19/4 -7/1 1 11 0.211372 In 0.203761 0.218983 -17/4 -5/1 1 11 0.235574 In 0.232419 0.238729 -15/4 -3/1 1 11 0.266423 In 0.262389 0.270458 -13/4 -1/1 1 11 0.307320 In 0.291254 0.323385 -11/4 -5/1 1 11 0.366769 In 0.343913 0.389625 -9/4 -3/1 1 11 0.445578 In 0.434297 0.456859 -7/4 -1/1 1 11 0.570632 In 0.552138 0.589126 -5/4 1/1 1 11 0.806569 In 0.697629 0.915510 -3/4 -3/1 1 11 1.433333 In 1.101671 1.764996 -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 3/1 1 11 -1.433333 In -1.764996 -1.101671 5/4 -1/1 1 11 -0.806569 In -0.915510 -0.697629 7/4 1/1 1 11 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In -0.082042 -0.081284 -49/5 -39/4 1 11 0.102009 In 0.101876 0.102142 -48/5 -28/3 1 11 0.104072 In 0.103531 0.104612 -47/5 -17/2 1 11 0.106247 In 0.105004 0.107491 -46/5 -6/1 1 11 0.108606 In 0.106322 0.110889 -44/5 -12/1 1 11 0.113843 In 0.111334 0.116351 -43/5 -19/2 1 11 0.116478 In 0.114984 0.117972 -42/5 -26/3 1 11 0.119180 In 0.118471 0.119888 -41/5 -33/4 1 11 0.121997 In 0.121807 0.122188 -39/5 -31/4 1 11 0.128155 In 0.127944 0.128365 -38/5 -22/3 1 11 0.131429 In 0.130567 0.132290 -37/5 -13/2 1 11 0.134923 In 0.132918 0.136927 -36/5 -4/1 1 11 0.138764 In 0.135038 0.142491 -34/5 -10/1 1 11 0.147432 In 0.143226 0.151638 -33/5 -15/2 1 11 0.151863 In 0.149324 0.154403 -32/5 -20/3 1 11 0.156480 In 0.155259 0.157701 -31/5 -25/4 1 11 0.161371 In 0.161038 0.161705 -29/5 -23/4 1 11 0.172323 In 0.171943 0.172703 -28/5 -16/3 1 11 0.178298 In 0.176713 0.179884 -27/5 -9/2 1 11 0.184807 In 0.181047 0.188568 -26/5 -2/1 1 11 0.192142 In 0.185002 0.199282 -24/5 -8/1 1 11 0.209184 In 0.200723 0.217644 -23/5 -11/2 1 11 0.218147 In 0.212908 0.223385 -22/5 -14/3 1 11 0.227769 In 0.225182 0.230356 -21/5 -17/4 1 11 0.238273 In 0.237546 0.239000 -19/5 -15/4 1 11 0.262947 In 0.262062 0.263833 -18/5 -10/3 1 11 0.277136 In 0.273306 0.280966 -17/5 -5/2 1 11 0.293278 In 0.283814 0.302742 -16/5 0/1 1 11 0.312500 In 0.293656 0.331344 -14/5 -6/1 1 11 0.360377 In 0.335346 0.385408 -13/5 -7/2 1 11 0.387293 In 0.370801 0.403784 -12/5 -8/3 1 11 0.418421 In 0.409693 0.427149 -11/5 -9/4 1 11 0.455200 In 0.452547 0.457853 -9/5 -7/4 1 11 0.554632 In 0.550693 0.558571 -8/5 -4/3 1 11 0.622093 In 0.602810 0.641376 -7/5 -1/2 1 11 0.711896 In 0.656413 0.767378 -6/5 2/1 1 11 0.846939 In 0.711566 0.982311 -4/5 -4/1 1 11 1.350000 In 1.018338 1.681662 -3/5 -3/2 1 11 1.766667 In 1.435004 2.098329 -2/5 -2/3 1 11 2.600000 In 2.268338 2.931662 -1/5 -1/4 1 11 5.100000 In 4.768338 5.431662 1/5 1/4 1 11 -5.100000 In -5.431662 -4.768338 2/5 2/3 1 11 -2.600000 In -2.931662 -2.268338 3/5 3/2 1 11 -1.766667 In 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