SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0/1 1 21 0.020000 In 0.015636 0.024364 -49/1 1/0 1 21 0.020409 In 0.020318 0.020499 -48/1 0/1 1 21 0.020833 In 0.016287 0.025380 -47/1 1/0 1 21 0.021277 In 0.021178 0.021376 -46/1 0/1 1 21 0.021739 In 0.016995 0.026483 -45/1 1/0 1 21 0.022223 In 0.022115 0.022331 -44/1 0/1 1 21 0.022727 In 0.017768 0.027687 -43/1 1/0 1 21 0.023256 In 0.023138 0.023374 -42/1 0/1 1 21 0.023810 In 0.018614 0.029005 -41/1 1/0 1 21 0.024391 In 0.024261 0.024521 -40/1 0/1 1 21 0.025000 In 0.019545 0.030455 -39/1 1/0 1 21 0.025642 In 0.025498 0.025785 -38/1 0/1 1 21 0.026316 In 0.020573 0.032058 -37/1 1/0 1 21 0.027028 In 0.026869 0.027187 -36/1 0/1 1 21 0.027778 In 0.021716 0.033839 -35/1 1/0 1 21 0.028573 In 0.028394 0.028751 -34/1 0/1 1 21 0.029412 In 0.022994 0.035830 -33/1 1/0 1 21 0.030304 In 0.030104 0.030505 -32/1 0/1 1 21 0.031250 In 0.024431 0.038069 -31/1 1/0 1 21 0.032260 In 0.032033 0.032487 -30/1 0/1 1 21 0.033333 In 0.026059 0.040607 -29/1 1/0 1 21 0.034485 In 0.034225 0.034744 -28/1 0/1 1 21 0.035714 In 0.027921 0.043508 -27/1 1/0 1 21 0.037039 In 0.036740 0.037339 -26/1 0/1 1 21 0.038462 In 0.030069 0.046855 -25/1 1/0 1 21 0.040003 In 0.039654 0.040352 -24/1 0/1 1 21 0.041667 In 0.032574 0.050759 -23/1 1/0 1 21 0.043482 In 0.043070 0.043895 -22/1 0/1 1 21 0.045455 In 0.035536 0.055374 -21/1 1/0 1 21 0.047624 In 0.047129 0.048119 -20/1 0/1 1 21 0.050000 In 0.039089 0.060911 -19/1 1/0 1 21 0.052639 In 0.052034 0.053243 -18/1 0/1 1 21 0.055556 In 0.043432 0.067679 -17/1 1/0 1 21 0.058833 In 0.058078 0.059588 -16/1 0/1 1 21 0.062500 In 0.048861 0.076139 -15/1 1/0 1 21 0.066681 In 0.065711 0.067651 -14/1 0/1 1 21 0.071429 In 0.055842 0.087016 -13/1 1/0 1 21 0.076945 In 0.075653 0.078236 -12/1 0/1 1 21 0.083333 In 0.065149 0.101518 -11/1 1/0 1 21 0.090945 In 0.089141 0.092749 -10/1 0/1 1 21 0.100000 In 0.078178 0.121822 -9/1 1/0 1 21 0.111176 In 0.108481 0.113872 -8/1 0/1 1 21 0.125000 In 0.097723 0.152277 -7/1 1/0 1 21 0.142996 In 0.138538 0.147454 -6/1 0/1 1 21 0.166667 In 0.130297 0.203036 -5/1 1/0 1 21 0.200382 In 0.191636 0.209127 -4/1 0/1 1 21 0.250000 In 0.195446 0.304554 -3/1 1/0 1 21 0.335106 In 0.310731 0.359482 -2/1 0/1 1 21 0.500000 In 0.390891 0.609109 -1/1 1/0 1 21 1.050000 In 0.820871 1.279129 0/1 0/1 1 21 1/1 1/0 1 21 -1.050000 In -1.279129 -0.820871 2/1 0/1 1 21 -0.500000 In -0.609109 -0.390891 3/1 1/0 1 21 -0.335106 In -0.359482 -0.310731 4/1 0/1 1 21 -0.250000 In -0.304554 -0.195446 5/1 1/0 1 21 -0.200382 In -0.209127 -0.191636 6/1 0/1 1 21 -0.166667 In -0.203036 -0.130297 7/1 1/0 1 21 -0.142996 In -0.147454 -0.138538 8/1 0/1 1 21 -0.125000 In -0.152277 -0.097723 9/1 1/0 1 21 -0.111176 In -0.113872 -0.108481 10/1 0/1 1 21 -0.100000 In -0.121822 -0.078178 11/1 1/0 1 21 -0.090945 In -0.092749 -0.089141 12/1 0/1 1 21 -0.083333 In -0.101518 -0.065149 13/1 1/0 1 21 -0.076945 In -0.078236 -0.075653 14/1 0/1 1 21 -0.071429 In -0.087016 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36/1 0/1 1 21 -0.027778 In -0.033839 -0.021716 37/1 1/0 1 21 -0.027028 In -0.027187 -0.026869 38/1 0/1 1 21 -0.026316 In -0.032058 -0.020573 39/1 1/0 1 21 -0.025642 In -0.025785 -0.025498 40/1 0/1 1 21 -0.025000 In -0.030455 -0.019545 41/1 1/0 1 21 -0.024391 In -0.024521 -0.024261 42/1 0/1 1 21 -0.023810 In -0.029005 -0.018614 43/1 1/0 1 21 -0.023256 In -0.023374 -0.023138 44/1 0/1 1 21 -0.022727 In -0.027687 -0.017768 45/1 1/0 1 21 -0.022223 In -0.022331 -0.022115 46/1 0/1 1 21 -0.021739 In -0.026483 -0.016995 47/1 1/0 1 21 -0.021277 In -0.021376 -0.021178 48/1 0/1 1 21 -0.020833 In -0.025380 -0.016287 49/1 1/0 1 21 -0.020409 In -0.020499 -0.020318 50/1 0/1 1 21 -0.020000 In -0.024364 -0.015636 -49/2 1/1 1 21 0.040837 In 0.036202 0.045472 -47/2 -1/1 1 21 0.042533 In 0.038087 0.046978 -45/2 1/1 1 21 0.044469 In 0.039404 0.049534 -43/2 -1/1 1 21 0.046487 In 0.041648 0.051326 -41/2 1/1 1 21 0.048810 In 0.043228 0.054392 -39/2 -1/1 1 21 0.051252 In 0.045944 0.056561 -37/2 1/1 1 21 0.054091 In 0.047874 0.060308 -35/2 -1/1 1 21 0.057106 In 0.051227 0.062985 -33/2 1/1 1 21 0.060652 In 0.053639 0.067666 -31/2 -1/1 1 21 0.064470 In 0.057884 0.071055 -29/2 1/1 1 21 0.069026 In 0.060982 0.077070 -27/2 -1/1 1 21 0.074014 In 0.066530 0.081498 -25/2 1/1 1 21 0.080082 In 0.070655 0.089510 -23/2 -1/1 1 21 0.086874 In 0.078211 0.095538 -21/2 1/1 1 21 0.095356 In 0.083974 0.106739 -19/2 -1/1 1 21 0.105145 In 0.094868 0.115423 -17/2 1/1 1 21 0.117831 In 0.103482 0.132180 -15/2 -1/1 1 21 0.133150 In 0.120539 0.145761 -13/2 1/1 1 21 0.154171 In 0.134797 0.173545 -11/2 -1/1 1 21 0.181496 In 0.165259 0.197734 -9/2 1/1 1 21 0.222941 In 0.193289 0.252593 -7/2 -1/1 1 21 0.285019 In 0.262731 0.307308 -5/2 1/1 1 21 0.402672 In 0.341454 0.463889 -3/2 -1/1 1 21 0.664894 In 0.640518 0.689269 -1/2 1/1 1 21 2.150000 In 1.462614 2.837386 1/2 -1/1 1 21 -2.150000 In -2.837386 -1.462614 3/2 1/1 1 21 -0.664894 In -0.689269 -0.640518 5/2 -1/1 1 21 -0.402672 In -0.463889 -0.341454 7/2 1/1 1 21 -0.285019 In -0.307308 -0.262731 9/2 -1/1 1 21 -0.222941 In -0.252593 -0.193289 11/2 1/1 1 21 -0.181496 In -0.197734 -0.165259 13/2 -1/1 1 21 -0.154171 In -0.173545 -0.134797 15/2 1/1 1 21 -0.133150 In -0.145761 -0.120539 17/2 -1/1 1 21 -0.117831 In -0.132180 -0.103482 19/2 1/1 1 21 -0.105145 In -0.115423 -0.094868 21/2 -1/1 1 21 -0.095356 In -0.106739 -0.083974 23/2 1/1 1 21 -0.086874 In -0.095538 -0.078211 25/2 -1/1 1 21 -0.080082 In -0.089510 -0.070655 27/2 1/1 1 21 -0.074014 In -0.081498 -0.066530 29/2 -1/1 1 21 -0.069026 In -0.077070 -0.060982 31/2 1/1 1 21 -0.064470 In -0.071055 -0.057884 33/2 -1/1 1 21 -0.060652 In -0.067666 -0.053639 35/2 1/1 1 21 -0.057106 In -0.062985 -0.051227 37/2 -1/1 1 21 -0.054091 In -0.060308 -0.047874 39/2 1/1 1 21 -0.051252 In -0.056561 -0.045944 41/2 -1/1 1 21 -0.048810 In -0.054392 -0.043228 43/2 1/1 1 21 -0.046487 In -0.051326 -0.041648 45/2 -1/1 1 21 -0.044469 In -0.049534 -0.039404 47/2 1/1 1 21 -0.042533 In -0.046978 -0.038087 49/2 -1/1 1 21 -0.040837 In -0.045472 -0.036202 -50/3 0 7 -49/3 0 7 -47/3 0 7 -46/3 0 7 -44/3 0 7 -43/3 0 7 -41/3 0 7 -40/3 0 7 -38/3 0 7 -37/3 0 7 -35/3 0 7 -34/3 0 7 -32/3 0 7 -31/3 0 7 -29/3 0 7 -28/3 0 7 -26/3 0 7 -25/3 0 7 -23/3 0 7 -22/3 0 7 -20/3 0 7 -19/3 0 7 -17/3 0 7 -16/3 0 7 -14/3 0 7 -13/3 0 7 -11/3 0 7 -10/3 0 7 -8/3 0 7 -7/3 0 7 -5/3 0 7 -4/3 0 7 -2/3 0 7 -1/3 0 7 1/3 0 7 2/3 0 7 4/3 0 7 5/3 0 7 7/3 0 7 8/3 0 7 10/3 0 7 11/3 0 7 13/3 0 7 14/3 0 7 16/3 0 7 17/3 0 7 19/3 0 7 20/3 0 7 22/3 0 7 23/3 0 7 25/3 0 7 26/3 0 7 28/3 0 7 29/3 0 7 31/3 0 7 32/3 0 7 34/3 0 7 35/3 0 7 37/3 0 7 38/3 0 7 40/3 0 7 41/3 0 7 43/3 0 7 44/3 0 7 46/3 0 7 47/3 0 7 49/3 0 7 50/3 0 7 -49/4 1/1 1 21 0.081654 In 0.076837 0.086471 -47/4 -1/1 1 21 0.085087 In 0.080839 0.089335 -45/4 -1/1 1 21 0.088867 In 0.084449 0.093286 -43/4 1/1 1 21 0.093051 In 0.087504 0.098598 -41/4 1/1 1 21 0.097592 In 0.091750 0.103434 -39/4 -1/1 1 21 0.102536 In 0.097514 0.107558 -37/4 -1/1 1 21 0.108077 In 0.102817 0.113337 -35/4 1/1 1 21 0.114329 In 0.107381 0.121277 -33/4 1/1 1 21 0.121261 In 0.113847 0.128676 -31/4 -1/1 1 21 0.128989 In 0.122858 0.135120 -29/4 -1/1 1 21 0.137882 In 0.131395 0.144369 -27/4 1/1 1 21 0.148223 In 0.138943 0.157503 -25/4 1/1 1 21 0.160088 In 0.149962 0.170214 -23/4 -1/1 1 21 0.173839 In 0.166000 0.181677 -21/4 -1/1 1 21 0.190389 In 0.181976 0.198802 -19/4 1/1 1 21 0.210686 In 0.196781 0.224591 -17/4 1/1 1 21 0.235498 In 0.219638 0.251357 -15/4 -1/1 1 21 0.266511 In 0.255841 0.277182 -13/4 -1/1 1 21 0.307497 In 0.295873 0.319122 -11/4 1/1 1 21 0.364173 In 0.337111 0.391236 -9/4 1/1 1 21 0.445294 In 0.410251 0.480337 -7/4 -1/1 1 21 0.571012 In 0.557638 0.584385 -5/4 -1/1 1 21 0.799618 In 0.790873 0.808364 -3/4 1/1 1 21 1.345745 In 1.175117 1.516372 -1/4 1/1 1 21 4.250000 In 3.104356 5.395644 1/4 -1/1 1 21 -4.250000 In -5.395644 -3.104356 3/4 -1/1 1 21 -1.345745 In -1.516372 -1.175117 5/4 1/1 1 21 -0.799618 In -0.808364 -0.790873 7/4 1/1 1 21 -0.571012 In -0.584385 -0.557638 9/4 -1/1 1 21 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0.102043 In 0.101588 0.102497 -48/5 2/1 1 21 0.104217 In 0.098723 0.109710 -47/5 1/2 1 21 0.106428 In 0.096648 0.116208 -46/5 0/1 1 21 0.108696 In 0.103952 0.113440 -44/5 0/1 1 21 0.113636 In 0.108677 0.118596 -43/5 -1/2 1 21 0.116231 In 0.106671 0.125790 -42/5 -2/1 1 21 0.119006 In 0.115047 0.122966 -41/5 1/0 1 21 0.121955 In 0.121306 0.122604 -39/5 1/0 1 21 0.128209 In 0.127492 0.128927 -38/5 2/1 1 21 0.131662 In 0.124408 0.138917 -37/5 1/2 1 21 0.135209 In 0.122616 0.147802 -36/5 0/1 1 21 0.138889 In 0.132827 0.144950 -34/5 0/1 1 21 0.147059 In 0.140641 0.153477 -33/5 -1/2 1 21 0.151434 In 0.139210 0.163658 -32/5 -2/1 1 21 0.156186 In 0.151497 0.160875 -31/5 1/0 1 21 0.161298 In 0.160163 0.162434 -29/5 1/0 1 21 0.172424 In 0.171126 0.173721 -28/5 2/1 1 21 0.178736 In 0.168157 0.189316 -27/5 1/2 1 21 0.185328 In 0.167666 0.202990 -26/5 0/1 1 21 0.192308 In 0.183915 0.200701 -24/5 0/1 1 21 0.208333 In 0.199241 0.217426 -23/5 -1/2 1 21 0.217231 In 0.200316 0.234145 -22/5 -2/1 1 21 0.227165 In 0.221753 0.232578 -21/5 1/0 1 21 0.238121 In 0.235647 0.240595 -19/5 1/0 1 21 0.263193 In 0.260170 0.266215 -18/5 2/1 1 21 0.278235 In 0.259366 0.297105 -17/5 1/2 1 21 0.294496 In 0.265043 0.323949 -16/5 0/1 1 21 0.312500 In 0.298861 0.326139 -14/5 0/1 1 21 0.357143 In 0.341556 0.372730 -13/5 -1/2 1 21 0.384160 In 0.357037 0.411284 -12/5 -2/1 1 21 0.416556 In 0.413521 0.419591 -11/5 1/0 1 21 0.454724 In 0.445704 0.463745 -9/5 1/0 1 21 0.555882 In 0.542404 0.569361 -8/5 2/1 1 21 0.628358 In 0.566801 0.689915 -7/5 1/2 1 21 0.716926 In 0.632229 0.801623 -6/5 0/1 1 21 0.833333 In 0.796964 0.869703 -4/5 0/1 1 21 1.250000 In 1.195446 1.304554 -3/5 -1/2 1 21 1.664894 In 1.640518 1.689269 -2/5 -2/1 1 21 2.600000 In 2.141742 3.058258 -1/5 1/0 1 21 5.250000 In 4.104356 6.395644 1/5 1/0 1 21 -5.250000 In -6.395644 -4.104356 2/5 2/1 1 21 -2.600000 In -3.058258 -2.141742 3/5 1/2 1 21 -1.664894 In -1.689269 -1.640518 4/5 0/1 1 21 -1.250000 In -1.304554 -1.195446 6/5 0/1 1 21 -0.833333 In 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