# sandtable generator spirograph big=90 small=35 pen=0.7 0.00000 1.00000 0.00145 0.99997 0.00290 0.99986 0.00435 0.99969 0.00580 0.99945 0.00725 0.99914 0.00871 0.99876 0.01017 0.99832 0.01163 0.99780 0.01310 0.99722 0.01457 0.99657 0.01604 0.99585 0.01752 0.99506 0.01901 0.99420 0.02050 0.99328 0.02200 0.99229 0.02351 0.99123 0.02502 0.99010 0.02654 0.98890 0.02808 0.98764 0.02962 0.98631 0.03117 0.98491 0.03273 0.98345 0.03430 0.98192 0.03588 0.98032 0.03748 0.97866 0.03908 0.97693 0.04070 0.97513 0.04234 0.97327 0.04398 0.97134 0.04565 0.96935 0.04733 0.96729 0.04902 0.96517 0.05073 0.96298 0.05246 0.96073 0.05420 0.95842 0.05597 0.95604 0.05775 0.95360 0.05955 0.95109 0.06137 0.94852 0.06322 0.94589 0.06508 0.94320 0.06697 0.94044 0.06888 0.93762 0.07081 0.93475 0.07277 0.93181 0.07476 0.92881 0.07677 0.92575 0.07880 0.92263 0.08087 0.91945 0.08296 0.91622 0.08508 0.91292 0.08724 0.90957 0.08942 0.90616 0.09164 0.90269 0.09388 0.89917 0.09616 0.89559 0.09848 0.89195 0.10083 0.88826 0.10322 0.88451 0.10565 0.88071 0.10811 0.87686 0.11062 0.87295 0.11316 0.86899 0.11575 0.86498 0.11838 0.86092 0.12105 0.85681 0.12377 0.85264 0.12653 0.84843 0.12935 0.84417 0.13221 0.83986 0.13512 0.83550 0.13809 0.83109 0.14111 0.82664 0.14418 0.82215 0.14731 0.81760 0.15049 0.81302 0.15374 0.80839 0.15704 0.80372 0.16041 0.79900 0.16384 0.79425 0.16734 0.78945 0.17090 0.78462 0.17454 0.77974 0.17824 0.77483 0.18202 0.76989 0.18587 0.76490 0.18980 0.75988 0.19381 0.75483 0.19790 0.74974 0.20208 0.74462 0.20634 0.73947 0.21068 0.73429 0.21512 0.72908 0.21965 0.72384 0.22428 0.71858 0.22900 0.71329 0.23383 0.70797 0.23875 0.70263 0.24379 0.69727 0.24893 0.69189 0.25419 0.68648 0.25956 0.68106 0.26505 0.67562 0.27066 0.67017 0.27639 0.66470 0.28226 0.65922 0.28825 0.65372 0.29438 0.64822 0.30066 0.64270 0.30707 0.63718 0.31363 0.63166 0.32034 0.62613 0.32721 0.62060 0.33424 0.61506 0.34143 0.60953 0.34879 0.60401 0.35632 0.59848 0.36403 0.59297 0.37192 0.58746 0.38000 0.58197 0.38827 0.57649 0.39673 0.57102 0.40540 0.56557 0.41428 0.56014 0.42336 0.55474 0.43267 0.54935 0.44220 0.54400 0.45195 0.53868 0.46195 0.53338 0.47218 0.52813 0.48265 0.52291 0.49338 0.51773 0.50436 0.51260 0.51560 0.50751 0.52711 0.50247 0.53889 0.49749 0.55095 0.49256 0.56329 0.48769 0.57592 0.48288 0.58884 0.47814 0.60206 0.47348 0.61557 0.46888 0.62940 0.46436 0.64353 0.45992 0.65797 0.45557 0.67272 0.45131 0.68779 0.44713 0.70318 0.44306 0.71889 0.43909 0.73491 0.43522 0.75126 0.43146 0.76792 0.42781 0.78490 0.42428 0.80219 0.42087 0.81979 0.41758 0.83770 0.41443 0.85590 0.41141 0.87440 0.40852 0.89318 0.40578 0.91223 0.40318 0.93155 0.40073 0.95113 0.39843 0.97095 0.39628 0.99099 0.39430 1.01125 0.39248 1.03171 0.39082 1.05235 0.38933 1.07315 0.38801 1.09410 0.38686 1.11517 0.38588 1.13636 0.38508 1.15762 0.38445 1.17896 0.38401 1.20033 0.38374 1.22173 0.38365 1.24313 0.38374 1.26450 0.38401 1.28584 0.38445 1.30711 0.38508 1.32829 0.38588 1.34936 0.38686 1.37031 0.38801 1.39111 0.38933 1.41175 0.39082 1.43221 0.39248 1.45247 0.39430 1.47252 0.39628 1.49233 0.39843 1.51191 0.40073 1.53123 0.40318 1.55028 0.40578 1.56906 0.40852 1.58756 0.41141 1.60576 0.41443 1.62367 0.41758 1.64127 0.42087 1.65856 0.42428 1.67554 0.42781 1.69220 0.43146 1.70855 0.43522 1.72457 0.43909 1.74028 0.44306 1.75567 0.44713 1.77074 0.45131 1.78549 0.45557 1.79994 0.45992 1.81407 0.46436 1.82789 0.46888 1.84140 0.47348 1.85462 0.47814 1.86754 0.48288 1.88017 0.48769 1.89251 0.49256 1.90457 0.49749 1.91635 0.50247 1.92786 0.50751 1.93910 0.51260 1.95009 0.51773 1.96081 0.52291 1.97129 0.52813 1.98152 0.53338 1.99151 0.53868 2.00126 0.54400 2.01079 0.54935 2.02010 0.55474 2.02918 0.56014 2.03806 0.56557 2.04673 0.57102 2.05519 0.57649 2.06346 0.58197 2.07154 0.58746 2.07943 0.59297 2.08714 0.59848 2.09467 0.60401 2.10203 0.60953 2.10922 0.61506 2.11625 0.62060 2.12312 0.62613 2.12983 0.63166 2.13639 0.63718 2.14281 0.64270 2.14908 0.64822 2.15521 0.65372 2.16120 0.65922 2.16707 0.66470 2.17280 0.67017 2.17842 0.67562 2.18390 0.68106 2.18928 0.68648 2.19453 0.69189 2.19967 0.69727 2.20471 0.70263 2.20964 0.70797 2.21446 0.71329 2.21918 0.71858 2.22381 0.72384 2.22834 0.72908 2.23278 0.73429 2.23713 0.73947 2.24138 0.74462 2.24556 0.74974 2.24965 0.75483 2.25366 0.75988 2.25759 0.76490 2.26144 0.76989 2.26522 0.77483 2.26892 0.77974 2.27256 0.78462 2.27612 0.78945 2.27962 0.79425 2.28305 0.79900 2.28642 0.80372 2.28972 0.80839 2.29297 0.81302 2.29616 0.81760 2.29928 0.82215 2.30236 0.82664 2.30537 0.83109 2.30834 0.83550 2.31125 0.83986 2.31411 0.84417 2.31693 0.84843 2.31969 0.85264 2.32241 0.85681 2.32508 0.86092 2.32771 0.86498 2.33030 0.86899 2.33285 0.87295 2.33535 0.87686 2.33781 0.88071 2.34024 0.88451 2.34263 0.88826 2.34498 0.89195 2.34730 0.89559 2.34958 0.89917 2.35183 0.90269 2.35404 0.90616 2.35622 0.90957 2.35838 0.91292 2.36050 0.91622 2.36259 0.91945 2.36466 0.92263 2.36669 0.92575 2.36870 0.92881 2.37069 0.93181 2.37265 0.93475 2.37458 0.93762 2.37649 0.94044 2.37838 0.94320 2.38024 0.94589 2.38209 0.94852 2.38391 0.95109 2.38571 0.95360 2.38750 0.95604 2.38926 0.95842 2.39100 0.96073 2.39273 0.96298 2.39444 0.96517 2.39614 0.96729 2.39781 0.96935 2.39948 0.97134 2.40112 0.97327 2.40276 0.97513 2.40438 0.97693 2.40599 0.97866 2.40758 0.98032 2.40916 0.98192 2.41073 0.98345 2.41229 0.98491 2.41384 0.98631 2.41538 0.98764 2.41692 0.98890 2.41844 0.99010 2.41995 0.99123 2.42146 0.99229 2.42296 0.99328 2.42445 0.99420 2.42594 0.99506 2.42742 0.99585 2.42889 0.99657 2.43036 0.99722 2.43183 0.99780 2.43329 0.99832 2.43475 0.99876 2.43621 0.99914 2.43766 0.99945 2.43911 0.99969 2.44056 0.99986 2.44201 0.99997 2.44346 1.00000 2.44491 0.99997 2.44636 0.99986 2.44781 0.99969 2.44926 0.99945 2.45072 0.99914 2.45217 0.99876 2.45363 0.99832 2.45509 0.99780 2.45656 0.99722 2.45803 0.99657 2.45950 0.99585 2.46099 0.99506 2.46247 0.99420 2.46396 0.99328 2.46546 0.99229 2.46697 0.99123 2.46848 0.99010 2.47001 0.98890 2.47154 0.98764 2.47308 0.98631 2.47463 0.98491 2.47619 0.98345 2.47776 0.98192 2.47934 0.98032 2.48094 0.97866 2.48254 0.97693 2.48416 0.97513 2.48580 0.97327 2.48745 0.97134 2.48911 0.96935 2.49079 0.96729 2.49248 0.96517 2.49419 0.96298 2.49592 0.96073 2.49766 0.95842 2.49943 0.95604 2.50121 0.95360 2.50301 0.95109 2.50483 0.94852 2.50668 0.94589 2.50854 0.94320 2.51043 0.94044 2.51234 0.93762 2.51427 0.93475 2.51623 0.93181 2.51822 0.92881 2.52023 0.92575 2.52227 0.92263 2.52433 0.91945 2.52642 0.91622 2.52855 0.91292 2.53070 0.90957 2.53288 0.90616 2.53510 0.90269 2.53734 0.89917 2.53963 0.89559 2.54194 0.89195 2.54429 0.88826 2.54668 0.88451 2.54911 0.88071 2.55157 0.87686 2.55408 0.87295 2.55662 0.86899 2.55921 0.86498 2.56184 0.86092 2.56451 0.85681 2.56723 0.85264 2.57000 0.84843 2.57281 0.84417 2.57567 0.83986 2.57858 0.83550 2.58155 0.83109 2.58457 0.82664 2.58764 0.82215 2.59077 0.81760 2.59395 0.81302 2.59720 0.80839 2.60050 0.80372 2.60387 0.79900 2.60730 0.79425 2.61080 0.78945 2.61436 0.78462 2.61800 0.77974 2.62170 0.77483 2.62548 0.76989 2.62933 0.76490 2.63326 0.75988 2.63727 0.75483 2.64136 0.74974 2.64554 0.74462 2.64980 0.73947 2.65414 0.73429 2.65858 0.72908 2.66311 0.72384 2.66774 0.71858 2.67246 0.71329 2.67729 0.70797 2.68221 0.70263 2.68725 0.69727 2.69239 0.69189 2.69765 0.68648 2.70302 0.68106 2.70851 0.67562 2.71412 0.67017 2.71985 0.66470 2.72572 0.65922 2.73171 0.65372 2.73785 0.64822 2.74412 0.64270 2.75053 0.63718 2.75709 0.63166 2.76380 0.62613 2.77067 0.62060 2.77770 0.61506 2.78489 0.60953 2.79225 0.60401 2.79978 0.59848 2.80749 0.59297 2.81538 0.58746 2.82346 0.58197 2.83173 0.57649 2.84019 0.57102 2.84886 0.56557 2.85774 0.56014 2.86682 0.55474 2.87613 0.54935 2.88566 0.54400 2.89542 0.53868 2.90541 0.53338 2.91564 0.52813 2.92611 0.52291 2.93684 0.51773 2.94782 0.51260 2.95906 0.50751 2.97057 0.50247 2.98235 0.49749 2.99441 0.49256 3.00675 0.48769 3.01938 0.48288 3.03230 0.47814 3.04552 0.47348 3.05903 0.46888 3.07286 0.46436 3.08699 0.45992 3.10143 0.45557 3.11618 0.45131 3.13125 0.44713 3.14664 0.44306 3.16235 0.43909 3.17837 0.43522 3.19472 0.43146 3.21138 0.42781 3.22836 0.42428 3.24565 0.42087 3.26325 0.41758 3.28116 0.41443 3.29936 0.41141 3.31786 0.40852 3.33664 0.40578 3.35569 0.40318 3.37501 0.40073 3.39459 0.39843 3.41441 0.39628 3.43445 0.39430 3.45471 0.39248 3.47517 0.39082 3.49581 0.38933 3.51661 0.38801 3.53756 0.38686 3.55863 0.38588 3.57982 0.38508 3.60108 0.38445 3.62242 0.38401 3.64379 0.38374 3.66519 0.38365 3.68659 0.38374 3.70797 0.38401 3.72930 0.38445 3.75057 0.38508 3.77175 0.38588 3.79282 0.38686 3.81377 0.38801 3.83458 0.38933 3.85521 0.39082 3.87567 0.39248 3.89593 0.39430 3.91598 0.39628 3.93579 0.39843 3.95537 0.40073 3.97469 0.40318 3.99375 0.40578 4.01253 0.40852 4.03102 0.41141 4.04923 0.41443 4.06713 0.41758 4.08473 0.42087 4.10202 0.42428 4.11900 0.42781 4.13566 0.43146 4.15201 0.43522 4.16803 0.43909 4.18374 0.44306 4.19913 0.44713 4.21420 0.45131 4.22896 0.45557 4.24340 0.45992 4.25753 0.46436 4.27135 0.46888 4.28487 0.47348 4.29808 0.47814 4.31100 0.48288 4.32363 0.48769 4.33597 0.49256 4.34803 0.49749 4.35981 0.50247 4.37132 0.50751 4.38256 0.51260 4.39355 0.51773 4.40427 0.52291 4.41475 0.52813 4.42498 0.53338 4.43497 0.53868 4.44472 0.54400 4.45425 0.54935 4.46356 0.55474 4.47265 0.56014 4.48152 0.56557 4.49019 0.57102 4.49866 0.57649 4.50693 0.58197 4.51500 0.58746 4.52289 0.59297 4.53060 0.59848 4.53813 0.60401 4.54549 0.60953 4.55268 0.61506 4.55971 0.62060 4.56658 0.62613 4.57329 0.63166 4.57985 0.63718 4.58627 0.64270 4.59254 0.64822 4.59867 0.65372 4.60467 0.65922 4.61053 0.66470 4.61627 0.67017 4.62188 0.67562 4.62737 0.68106 4.63274 0.68648 4.63799 0.69189 4.64313 0.69727 4.64817 0.70263 4.65310 0.70797 4.65792 0.71329 4.66265 0.71858 4.66727 0.72384 4.67180 0.72908 4.67624 0.73429 4.68059 0.73947 4.68485 0.74462 4.68902 0.74974 4.69311 0.75483 4.69712 0.75988 4.70105 0.76490 4.70490 0.76989 4.70868 0.77483 4.71238 0.77974 4.71602 0.78462 4.71958 0.78945 4.72308 0.79425 4.72651 0.79900 4.72988 0.80372 4.73319 0.80839 4.73643 0.81302 4.73962 0.81760 4.74274 0.82215 4.74582 0.82664 4.74883 0.83109 4.75180 0.83550 4.75471 0.83986 4.75757 0.84417 4.76039 0.84843 4.76315 0.85264 4.76587 0.85681 4.76855 0.86092 4.77118 0.86498 4.77376 0.86899 4.77631 0.87295 4.77881 0.87686 4.78128 0.88071 4.78370 0.88451 4.78609 0.88826 4.78844 0.89195 4.79076 0.89559 4.79304 0.89917 4.79529 0.90269 4.79750 0.90616 4.79969 0.90957 4.80184 0.91292 4.80396 0.91622 4.80605 0.91945 4.80812 0.92263 4.81015 0.92575 4.81217 0.92881 4.81415 0.93181 4.81611 0.93475 4.81804 0.93762 4.81995 0.94044 4.82184 0.94320 4.82371 0.94589 4.82555 0.94852 4.82737 0.95109 4.82917 0.95360 4.83096 0.95604 4.83272 0.95842 4.83447 0.96073 4.83619 0.96298 4.83790 0.96517 4.83960 0.96729 4.84127 0.96935 4.84294 0.97134 4.84459 0.97327 4.84622 0.97513 4.84784 0.97693 4.84945 0.97866 4.85104 0.98032 4.85262 0.98192 4.85419 0.98345 4.85576 0.98491 4.85731 0.98631 4.85885 0.98764 4.86038 0.98890 4.86190 0.99010 4.86341 0.99123 4.86492 0.99229 4.86642 0.99328 4.86791 0.99420 4.86940 0.99506 4.87088 0.99585 4.87235 0.99657 4.87382 0.99722 4.87529 0.99780 4.87675 0.99832 4.87821 0.99876 4.87967 0.99914 4.88112 0.99945 4.88257 0.99969 4.88402 0.99986 4.88547 0.99997 4.88692 1.00000 4.88837 0.99997 4.88982 0.99986 4.89127 0.99969 4.89272 0.99945 4.89418 0.99914 4.89563 0.99876 4.89709 0.99832 4.89855 0.99780 4.90002 0.99722 4.90149 0.99657 4.90297 0.99585 4.90445 0.99506 4.90593 0.99420 4.90742 0.99328 4.90892 0.99229 4.91043 0.99123 4.91194 0.99010 4.91347 0.98890 4.91500 0.98764 4.91654 0.98631 4.91809 0.98491 4.91965 0.98345 4.92122 0.98192 4.92280 0.98032 4.92440 0.97866 4.92600 0.97693 4.92762 0.97513 4.92926 0.97327 4.93091 0.97134 4.93257 0.96935 4.93425 0.96729 4.93594 0.96517 4.93765 0.96298 4.93938 0.96073 4.94112 0.95842 4.94289 0.95604 4.94467 0.95360 4.94647 0.95109 4.94829 0.94852 4.95014 0.94589 4.95200 0.94320 4.95389 0.94044 4.95580 0.93762 4.95774 0.93475 4.95969 0.93181 4.96168 0.92881 4.96369 0.92575 4.96573 0.92263 4.96779 0.91945 4.96988 0.91622 4.97201 0.91292 4.97416 0.90957 4.97634 0.90616 4.97856 0.90269 4.98080 0.89917 4.98309 0.89559 4.98540 0.89195 4.98775 0.88826 4.99014 0.88451 4.99257 0.88071 4.99503 0.87686 4.99754 0.87295 5.00008 0.86899 5.00267 0.86498 5.00530 0.86092 5.00797 0.85681 5.01069 0.85264 5.01346 0.84843 5.01627 0.84417 5.01913 0.83986 5.02205 0.83550 5.02501 0.83109 5.02803 0.82664 5.03110 0.82215 5.03423 0.81760 5.03741 0.81302 5.04066 0.80839 5.04396 0.80372 5.04733 0.79900 5.05076 0.79425 5.05426 0.78945 5.05783 0.78462 5.06146 0.77974 5.06516 0.77483 5.06894 0.76989 5.07280 0.76490 5.07673 0.75988 5.08073 0.75483 5.08482 0.74974 5.08900 0.74462 5.09326 0.73947 5.09760 0.73429 5.10204 0.72908 5.10657 0.72384 5.11120 0.71858 5.11592 0.71329 5.12075 0.70797 5.12567 0.70263 5.13071 0.69727 5.13585 0.69189 5.14111 0.68648 5.14648 0.68106 5.15197 0.67562 5.15758 0.67017 5.16331 0.66470 5.16918 0.65922 5.17517 0.65372 5.18131 0.64822 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