# sandtable generator lissajous a=3 b=2 copies=6 twist_deg=30 2.37732 1.00000 2.37784 1.00000 2.37835 0.99999 2.37887 0.99999 2.37938 0.99998 2.37989 0.99996 2.38040 0.99995 2.38091 0.99993 2.38142 0.99991 2.38193 0.99988 2.38243 0.99985 2.38294 0.99982 2.38344 0.99979 2.38394 0.99975 2.38444 0.99971 2.38494 0.99967 2.38544 0.99962 2.38594 0.99957 2.38643 0.99952 2.38693 0.99947 2.38742 0.99941 2.38792 0.99935 2.38841 0.99928 2.38890 0.99922 2.38939 0.99915 2.38988 0.99907 2.39036 0.99900 2.39085 0.99892 2.39133 0.99884 2.39182 0.99875 2.39230 0.99866 2.39278 0.99857 2.39326 0.99848 2.39374 0.99838 2.39422 0.99828 2.39470 0.99818 2.39517 0.99807 2.39565 0.99796 2.39612 0.99785 2.39659 0.99774 2.39706 0.99762 2.39753 0.99750 2.39800 0.99737 2.39847 0.99725 2.39894 0.99712 2.39940 0.99698 2.39987 0.99685 2.40033 0.99671 2.40080 0.99656 2.40126 0.99642 2.40172 0.99627 2.40218 0.99612 2.40264 0.99596 2.40309 0.99580 2.40355 0.99564 2.40400 0.99548 2.40446 0.99531 2.40491 0.99514 2.40536 0.99497 2.40581 0.99479 2.40626 0.99461 2.40671 0.99443 2.40716 0.99425 2.40761 0.99406 2.40805 0.99386 2.40850 0.99367 2.40894 0.99347 2.40938 0.99327 2.40982 0.99307 2.41027 0.99286 2.41070 0.99265 2.41114 0.99244 2.41158 0.99222 2.41202 0.99200 2.41245 0.99178 2.41289 0.99155 2.41332 0.99132 2.41375 0.99109 2.41418 0.99086 2.41461 0.99062 2.41504 0.99038 2.41547 0.99014 2.41590 0.98989 2.41633 0.98964 2.41675 0.98938 2.41718 0.98913 2.41760 0.98887 2.41802 0.98861 2.41844 0.98834 2.41886 0.98807 2.41928 0.98780 2.41970 0.98752 2.42012 0.98724 2.42053 0.98696 2.42095 0.98668 2.42136 0.98639 2.42178 0.98610 2.42219 0.98581 2.42260 0.98551 2.42301 0.98521 2.42342 0.98491 2.42383 0.98460 2.42424 0.98429 2.42465 0.98398 2.42505 0.98366 2.42546 0.98334 2.42586 0.98302 2.42627 0.98270 2.42667 0.98237 2.42707 0.98204 2.42747 0.98170 2.42787 0.98137 2.42827 0.98103 2.42866 0.98068 2.42906 0.98033 2.42946 0.97998 2.42985 0.97963 2.43025 0.97928 2.43064 0.97892 2.43103 0.97855 2.43142 0.97819 2.43181 0.97782 2.43220 0.97745 2.43259 0.97707 2.43298 0.97669 2.43336 0.97631 2.43375 0.97593 2.43413 0.97554 2.43452 0.97515 2.43490 0.97476 2.43528 0.97436 2.43566 0.97396 2.43604 0.97356 2.43642 0.97315 2.43680 0.97274 2.43718 0.97233 2.43756 0.97191 2.43793 0.97149 2.43831 0.97107 2.43868 0.97065 2.43905 0.97022 2.43943 0.96979 2.43980 0.96935 2.44017 0.96891 2.44054 0.96847 2.44091 0.96803 2.44128 0.96758 2.44164 0.96713 2.44201 0.96668 2.44237 0.96622 2.44274 0.96576 2.44310 0.96530 2.44347 0.96483 2.44383 0.96437 2.44419 0.96389 2.44455 0.96342 2.44491 0.96294 2.44527 0.96246 2.44563 0.96197 2.44598 0.96149 2.44634 0.96100 2.44669 0.96050 2.44705 0.96000 2.44740 0.95950 2.44776 0.95900 2.44811 0.95849 2.44846 0.95798 2.44881 0.95747 2.44916 0.95695 2.44951 0.95644 2.44986 0.95591 2.45020 0.95539 2.45055 0.95486 2.45089 0.95433 2.45124 0.95379 2.45158 0.95326 2.45193 0.95271 2.45227 0.95217 2.45261 0.95162 2.45295 0.95107 2.45329 0.95052 2.45363 0.94996 2.45397 0.94940 2.45430 0.94884 2.45464 0.94827 2.45498 0.94770 2.45531 0.94713 2.45565 0.94656 2.45598 0.94598 2.45631 0.94540 2.45664 0.94481 2.45698 0.94422 2.45731 0.94363 2.45764 0.94304 2.45796 0.94244 2.45829 0.94184 2.45862 0.94124 2.45895 0.94063 2.45927 0.94002 2.45960 0.93941 2.45992 0.93879 2.46024 0.93817 2.46057 0.93755 2.46089 0.93693 2.46121 0.93630 2.46153 0.93567 2.46185 0.93503 2.46217 0.93439 2.46249 0.93375 2.46280 0.93311 2.46312 0.93246 2.46344 0.93181 2.46375 0.93116 2.46407 0.93050 2.46438 0.92984 2.46469 0.92918 2.46500 0.92852 2.46532 0.92785 2.46563 0.92718 2.46594 0.92650 2.46625 0.92582 2.46655 0.92514 2.46686 0.92446 2.46717 0.92377 2.46748 0.92308 2.46778 0.92239 2.46809 0.92169 2.46839 0.92099 2.46869 0.92029 2.46900 0.91958 2.46930 0.91887 2.46960 0.91816 2.46990 0.91745 2.47020 0.91673 2.47050 0.91601 2.47080 0.91528 2.47109 0.91456 2.47139 0.91383 2.47169 0.91309 2.47198 0.91236 2.47228 0.91162 2.47257 0.91087 2.47286 0.91013 2.47316 0.90938 2.47345 0.90863 2.47374 0.90787 2.47403 0.90712 2.47432 0.90635 2.47461 0.90559 2.47490 0.90482 2.47518 0.90405 2.47547 0.90328 2.47576 0.90250 2.47604 0.90172 2.47633 0.90094 2.47661 0.90016 2.47690 0.89937 2.47718 0.89858 2.47746 0.89778 2.47774 0.89699 2.47802 0.89618 2.47830 0.89538 2.47858 0.89457 2.47886 0.89376 2.47914 0.89295 2.47942 0.89214 2.47969 0.89132 2.47997 0.89050 2.48025 0.88967 2.48052 0.88884 2.48079 0.88801 2.48107 0.88718 2.48134 0.88634 2.48161 0.88550 2.48188 0.88466 2.48215 0.88381 2.48242 0.88297 2.48269 0.88211 2.48296 0.88126 2.48323 0.88040 2.48350 0.87954 2.48377 0.87868 2.48403 0.87781 2.48430 0.87694 2.48456 0.87607 2.48483 0.87519 2.48509 0.87431 2.48535 0.87343 2.48561 0.87255 2.48588 0.87166 2.48614 0.87077 2.48640 0.86987 2.48666 0.86898 2.48692 0.86808 2.48717 0.86718 2.48743 0.86627 2.48769 0.86536 2.48795 0.86445 2.48820 0.86354 2.48846 0.86262 2.48871 0.86170 2.48897 0.86077 2.48922 0.85985 2.48947 0.85892 2.48972 0.85799 2.48997 0.85705 2.49023 0.85611 2.49048 0.85517 2.49072 0.85423 2.49097 0.85328 2.49122 0.85233 2.49147 0.85138 2.49172 0.85043 2.49196 0.84947 2.49221 0.84851 2.49245 0.84754 2.49270 0.84657 2.49294 0.84560 2.49319 0.84463 2.49343 0.84366 2.49367 0.84268 2.49391 0.84169 2.49415 0.84071 2.49439 0.83972 2.49463 0.83873 2.49487 0.83774 2.49511 0.83674 2.49535 0.83574 2.49559 0.83474 2.49582 0.83374 2.49606 0.83273 2.49629 0.83172 2.49653 0.83071 2.49676 0.82969 2.49700 0.82867 2.49723 0.82765 2.49746 0.82662 2.49769 0.82560 2.49793 0.82457 2.49816 0.82353 2.49839 0.82250 2.49862 0.82146 2.49885 0.82041 2.49907 0.81937 2.49930 0.81832 2.49953 0.81727 2.49976 0.81622 2.49998 0.81516 2.50021 0.81410 2.50043 0.81304 2.50066 0.81198 2.50088 0.81091 2.50110 0.80984 2.50133 0.80877 2.50155 0.80769 2.50177 0.80661 2.50199 0.80553 2.50221 0.80445 2.50243 0.80336 2.50265 0.80227 2.50287 0.80118 2.50308 0.80008 2.50330 0.79898 2.50352 0.79788 2.50374 0.79678 2.50395 0.79567 2.50417 0.79456 2.50438 0.79345 2.50459 0.79234 2.50481 0.79122 2.50502 0.79010 2.50523 0.78898 2.50544 0.78785 2.50566 0.78672 2.50587 0.78559 2.50608 0.78446 2.50629 0.78332 2.50649 0.78218 2.50670 0.78104 2.50691 0.77989 2.50712 0.77875 2.50733 0.77760 2.50753 0.77644 2.50774 0.77529 2.50794 0.77413 2.50815 0.77297 2.50835 0.77180 2.50855 0.77064 2.50876 0.76947 2.50896 0.76830 2.50916 0.76712 2.50936 0.76595 2.50956 0.76477 2.50976 0.76358 2.50996 0.76240 2.51016 0.76121 2.51036 0.76002 2.51056 0.75883 2.51076 0.75763 2.51095 0.75643 2.51115 0.75523 2.51134 0.75403 2.51154 0.75282 2.51174 0.75161 2.51193 0.75040 2.51212 0.74918 2.51232 0.74797 2.51251 0.74675 2.51270 0.74553 2.51289 0.74430 2.51308 0.74307 2.51327 0.74184 2.51346 0.74061 2.51365 0.73937 2.51384 0.73814 2.51403 0.73690 2.51422 0.73565 2.51441 0.73441 2.51459 0.73316 2.51478 0.73191 2.51497 0.73066 2.51515 0.72940 2.51534 0.72814 2.51552 0.72688 2.51570 0.72562 2.51589 0.72435 2.51607 0.72308 2.51625 0.72181 2.51643 0.72054 2.51661 0.71926 2.51679 0.71798 2.51698 0.71670 2.51715 0.71542 2.51733 0.71413 2.51751 0.71284 2.51769 0.71155 2.51787 0.71026 2.51805 0.70896 2.51822 0.70766 2.51840 0.70636 2.51857 0.70505 2.51875 0.70375 2.51892 0.70244 2.51910 0.70113 2.51927 0.69981 2.51944 0.69850 2.51962 0.69718 2.51979 0.69586 2.51996 0.69453 2.52013 0.69321 2.52030 0.69188 2.52047 0.69055 2.52064 0.68921 2.52081 0.68788 2.52098 0.68654 2.52115 0.68520 2.52131 0.68386 2.52148 0.68251 2.52165 0.68116 2.52181 0.67981 2.52198 0.67846 2.52214 0.67710 2.52231 0.67575 2.52247 0.67439 2.52264 0.67302 2.52280 0.67166 2.52296 0.67029 2.52312 0.66892 2.52329 0.66755 2.52345 0.66618 2.52361 0.66480 2.52377 0.66342 2.52393 0.66204 2.52409 0.66065 2.52425 0.65927 2.52440 0.65788 2.52456 0.65649 2.52472 0.65510 2.52488 0.65370 2.52503 0.65230 2.52519 0.65090 2.52534 0.64950 2.52550 0.64810 2.52565 0.64669 2.52581 0.64528 2.52596 0.64387 2.52611 0.64245 2.52627 0.64104 2.52642 0.63962 2.52657 0.63820 2.52672 0.63678 2.52687 0.63535 2.52702 0.63392 2.52717 0.63249 2.52732 0.63106 2.52747 0.62963 2.52762 0.62819 2.52776 0.62675 2.52791 0.62531 2.52806 0.62387 2.52820 0.62242 2.52835 0.62098 2.52850 0.61953 2.52864 0.61808 2.52879 0.61662 2.52893 0.61516 2.52907 0.61371 2.52922 0.61225 2.52936 0.61078 2.52950 0.60932 2.52964 0.60785 2.52978 0.60638 2.52992 0.60491 2.53007 0.60344 2.53021 0.60196 2.53034 0.60048 2.53048 0.59900 2.53062 0.59752 2.53076 0.59603 2.53090 0.59455 2.53103 0.59306 2.53117 0.59157 2.53131 0.59008 2.53144 0.58858 2.53158 0.58708 2.53171 0.58558 2.53185 0.58408 2.53198 0.58258 2.53212 0.58107 2.53225 0.57957 2.53238 0.57806 2.53251 0.57655 2.53264 0.57503 2.53278 0.57352 2.53291 0.57200 2.53304 0.57048 2.53317 0.56896 2.53330 0.56743 2.53342 0.56591 2.53355 0.56438 2.53368 0.56285 2.53381 0.56132 2.53394 0.55978 2.53406 0.55825 2.53419 0.55671 2.53432 0.55517 2.53444 0.55363 2.53457 0.55208 2.53469 0.55054 2.53481 0.54899 2.53494 0.54744 2.53506 0.54589 2.53518 0.54433 2.53531 0.54278 2.53543 0.54122 2.53555 0.53966 2.53567 0.53810 2.53579 0.53654 2.53591 0.53497 2.53603 0.53340 2.53615 0.53183 2.53627 0.53026 2.53639 0.52869 2.53650 0.52711 2.53662 0.52554 2.53674 0.52396 2.53686 0.52238 2.53697 0.52080 2.53709 0.51921 2.53720 0.51763 2.53732 0.51604 2.53743 0.51445 2.53755 0.51286 2.53766 0.51126 2.53777 0.50967 2.53789 0.50807 2.53800 0.50647 2.53811 0.50487 2.53822 0.50327 2.53833 0.50166 2.53844 0.50006 2.53855 0.49845 2.53866 0.49684 2.53877 0.49523 2.53888 0.49361 2.53899 0.49200 2.53910 0.49038 2.53920 0.48876 2.53931 0.48714 2.53942 0.48552 2.53952 0.48390 2.53963 0.48227 2.53974 0.48064 2.53984 0.47901 2.53995 0.47738 2.54005 0.47575 2.54015 0.47412 2.54026 0.47248 2.54036 0.47084 2.54046 0.46920 2.54056 0.46756 2.54067 0.46592 2.54077 0.46427 2.54087 0.46263 2.54097 0.46098 2.54107 0.45933 2.54117 0.45768 2.54127 0.45603 2.54136 0.45437 2.54146 0.45272 2.54156 0.45106 2.54166 0.44940 2.54176 0.44774 2.54185 0.44608 2.54195 0.44441 2.54204 0.44275 2.54214 0.44108 2.54223 0.43941 2.54233 0.43774 2.54242 0.43607 2.54252 0.43439 2.54261 0.43272 2.54270 0.43104 2.54279 0.42936 2.54289 0.42768 2.54298 0.42600 2.54307 0.42432 2.54316 0.42263 2.54325 0.42095 2.54334 0.41926 2.54343 0.41757 2.54352 0.41588 2.54361 0.41419 2.54370 0.41249 2.54378 0.41080 2.54387 0.40910 2.54396 0.40741 2.54405 0.40571 2.54413 0.40401 2.54422 0.40230 2.54430 0.40060 2.54439 0.39889 2.54447 0.39719 2.54456 0.39548 2.54464 0.39377 2.54472 0.39206 2.54481 0.39035 2.54489 0.38863 2.54497 0.38692 2.54505 0.38520 2.54514 0.38348 2.54522 0.38176 2.54530 0.38004 2.54538 0.37832 2.54546 0.37660 2.54554 0.37487 2.54562 0.37315 2.54569 0.37142 2.54577 0.36969 2.54585 0.36796 2.54593 0.36623 2.54600 0.36449 2.54608 0.36276 2.54616 0.36102 2.54623 0.35929 2.54631 0.35755 2.54638 0.35581 2.54646 0.35407 2.54653 0.35233 2.54661 0.35058 2.54668 0.34884 2.54675 0.34709 2.54682 0.34535 2.54690 0.34360 2.54697 0.34185 2.54704 0.34010 2.54711 0.33835 2.54718 0.33659 2.54725 0.33484 2.54732 0.33308 2.54739 0.33133 2.54746 0.32957 2.54753 0.32781 2.54760 0.32605 2.54766 0.32429 2.54773 0.32252 2.54780 0.32076 2.54786 0.31899 2.54793 0.31723 2.54800 0.31546 2.54806 0.31369 2.54813 0.31192 2.54819 0.31015 2.54826 0.30838 2.54832 0.30661 2.54838 0.30483 2.54845 0.30306 2.54851 0.30128 2.54857 0.29950 2.54863 0.29772 2.54869 0.29594 2.54876 0.29416 2.54882 0.29238 2.54888 0.29060 2.54894 0.28882 2.54900 0.28703 2.54905 0.28524 2.54911 0.28346 2.54917 0.28167 2.54923 0.27988 2.54929 0.27809 2.54934 0.27630 2.54940 0.27451 2.54946 0.27271 2.54951 0.27092 2.54957 0.26912 2.54962 0.26733 2.54968 0.26553 2.54973 0.26373 2.54979 0.26194 2.54984 0.26014 2.54989 0.25833 2.54995 0.25653 2.55000 0.25473 2.55005 0.25293 2.55010 0.25112 2.55016 0.24932 2.55021 0.24751 2.55026 0.24570 2.55031 0.24389 2.55036 0.24209 2.55041 0.24028 2.55046 0.23847 2.55050 0.23665 2.55055 0.23484 2.55060 0.23303 2.55065 0.23121 2.55069 0.22940 2.55074 0.22758 2.55079 0.22577 2.55083 0.22395 2.55088 0.22213 2.55092 0.22031 2.55097 0.21849 2.55101 0.21667 2.55106 0.21485 2.55110 0.21303 2.55114 0.21120 2.55119 0.20938 2.55123 0.20756 2.55127 0.20573 2.55131 0.20390 2.55136 0.20208 2.55140 0.20025 2.55144 0.19842 2.55148 0.19659 2.55152 0.19476 2.55156 0.19293 2.55160 0.19110 2.55163 0.18927 2.55167 0.18744 2.55171 0.18560 2.55175 0.18377 2.55178 0.18194 2.55182 0.18010 2.55186 0.17826 2.55189 0.17643 2.55193 0.17459 2.55196 0.17275 2.55200 0.17091 2.55203 0.16908 2.55207 0.16724 2.55210 0.16540 2.55214 0.16356 2.55217 0.16171 2.55220 0.15987 2.55223 0.15803 2.55226 0.15619 2.55230 0.15434 2.55233 0.15250 2.55236 0.15065 2.55239 0.14881 2.55242 0.14696 2.55245 0.14512 2.55248 0.14327 2.55251 0.14142 2.55253 0.13957 2.55256 0.13772 2.55259 0.13588 2.55262 0.13403 2.55264 0.13218 2.55267 0.13033 2.55270 0.12847 2.55272 0.12662 2.55275 0.12477 2.55277 0.12292 2.55280 0.12107 2.55282 0.11921 2.55285 0.11736 2.55287 0.11550 2.55289 0.11365 2.55291 0.11180 2.55294 0.10994 2.55296 0.10808 2.55298 0.10623 2.55300 0.10437 2.55302 0.10251 2.55304 0.10066 2.55306 0.09880 2.55308 0.09694 2.55310 0.09508 2.55312 0.09323 2.55314 0.09137 2.55316 0.08951 2.55318 0.08765 2.55319 0.08579 2.55321 0.08393 2.55323 0.08207 2.55324 0.08021 2.55326 0.07834 2.55327 0.07648 2.55329 0.07462 2.55330 0.07276 2.55332 0.07090 2.55333 0.06903 2.55335 0.06717 2.55336 0.06531 2.55337 0.06344 2.55339 0.06158 2.55340 0.05972 2.55341 0.05785 2.55342 0.05599 2.55343 0.05412 2.55344 0.05226 2.55345 0.05040 2.55346 0.04853 2.55347 0.04667 2.55348 0.04480 2.55349 0.04293 2.55350 0.04107 2.55351 0.03920 2.55352 0.03734 2.55352 0.03547 2.55353 0.03361 2.55354 0.03174 2.55354 0.02987 2.55355 0.02801 2.55355 0.02614 2.55356 0.02427 2.55356 0.02241 2.55357 0.02054 2.55357 0.01867 2.55357 0.01681 2.55358 0.01494 2.55358 0.01307 2.55358 0.01120 2.55359 0.00934 2.55359 0.00747 2.55359 0.00560 2.55359 0.00373 2.55359 0.00187 2.55359 0.00000 2.55359 0.00000 5.69518 0.00000 5.69518 0.00187 5.69518 0.00373 5.69518 0.00560 5.69518 0.00747 5.69518 0.00934 5.69518 0.01120 5.69517 0.01307 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