# sandtable generator ripples 0.00000 1.00000 0.00000 0.96500 0.01745 0.97032 0.03491 0.97550 0.05236 0.98042 0.06981 0.98494 0.08727 0.98896 0.10472 0.99237 0.12217 0.99508 0.13963 0.99703 0.15708 0.99815 0.17453 0.99842 0.19199 0.99783 0.20944 0.99639 0.22689 0.99414 0.24435 0.99111 0.26180 0.98738 0.27925 0.98305 0.29671 0.97821 0.31416 0.97298 0.33161 0.96748 0.34907 0.96185 0.36652 0.95621 0.38397 0.95072 0.40143 0.94548 0.41888 0.94064 0.43633 0.93631 0.45379 0.93258 0.47124 0.92956 0.48869 0.92730 0.50615 0.92586 0.52360 0.92527 0.54105 0.92554 0.55851 0.92667 0.57596 0.92861 0.59341 0.93132 0.61087 0.93473 0.62832 0.93875 0.64577 0.94328 0.66323 0.94819 0.68068 0.95338 0.69813 0.95869 0.71558 0.96401 0.73304 0.96919 0.75049 0.97411 0.76794 0.97863 0.78540 0.98265 0.80285 0.98606 0.82030 0.98877 0.83776 0.99072 0.85521 0.99184 0.87266 0.99212 0.89012 0.99153 0.90757 0.99009 0.92502 0.98783 0.94248 0.98480 0.95993 0.98108 0.97738 0.97674 0.99484 0.97190 1.01229 0.96667 1.02974 0.96117 1.04720 0.95554 1.06465 0.94991 1.08210 0.94441 1.09956 0.93918 1.11701 0.93434 1.13446 0.93000 1.15192 0.92628 1.16937 0.92325 1.18682 0.92099 1.20428 0.91955 1.22173 0.91896 1.23918 0.91924 1.25664 0.92036 1.27409 0.92230 1.29154 0.92502 1.30900 0.92843 1.32645 0.93244 1.34390 0.93697 1.36136 0.94189 1.37881 0.94707 1.39626 0.95239 1.41372 0.95770 1.43117 0.96289 1.44862 0.96780 1.46608 0.97233 1.48353 0.97635 1.50098 0.97976 1.51844 0.98247 1.53589 0.98441 1.55334 0.98554 1.57080 0.98581 1.58825 0.98522 1.60570 0.98378 1.62316 0.98152 1.64061 0.97849 1.65806 0.97477 1.67552 0.97044 1.69297 0.96559 1.71042 0.96036 1.72788 0.95486 1.74533 0.94923 1.76278 0.94360 1.78024 0.93810 1.79769 0.93287 1.81514 0.92803 1.83260 0.92369 1.85005 0.91997 1.86750 0.91694 1.88496 0.91468 1.90241 0.91324 1.91986 0.91266 1.93732 0.91293 1.95477 0.91405 1.97222 0.91600 1.98968 0.91871 2.00713 0.92212 2.02458 0.92614 2.04204 0.93066 2.05949 0.93558 2.07694 0.94076 2.09440 0.94608 2.11185 0.95140 2.12930 0.95658 2.14675 0.96150 2.16421 0.96602 2.18166 0.97004 2.19911 0.97345 2.21657 0.97616 2.23402 0.97810 2.25147 0.97923 2.26893 0.97950 2.28638 0.97891 2.30383 0.97747 2.32129 0.97521 2.33874 0.97219 2.35619 0.96846 2.37365 0.96413 2.39110 0.95929 2.40855 0.95406 2.42601 0.94856 2.44346 0.94292 2.46091 0.93729 2.47837 0.93179 2.49582 0.92656 2.51327 0.92172 2.53073 0.91739 2.54818 0.91366 2.56563 0.91064 2.58309 0.90838 2.60054 0.90694 2.61799 0.90635 2.63545 0.90662 2.65290 0.90775 2.67035 0.90969 2.68781 0.91240 2.70526 0.91581 2.72271 0.91983 2.74017 0.92435 2.75762 0.92927 2.77507 0.93445 2.79253 0.93977 2.80998 0.94509 2.82743 0.95027 2.84489 0.95519 2.86234 0.95971 2.87979 0.96373 2.89725 0.96714 2.91470 0.96985 2.93215 0.97180 2.94961 0.97292 2.96706 0.97319 2.98451 0.97261 3.00197 0.97117 3.01942 0.96891 3.03687 0.96588 3.05433 0.96215 3.07178 0.95782 3.08923 0.95298 3.10669 0.94775 3.12414 0.94225 3.14159 0.93662 3.15905 0.93098 3.17650 0.92549 3.19395 0.92025 3.21141 0.91541 3.22886 0.91108 3.24631 0.90736 3.26377 0.90433 3.28122 0.90207 3.29867 0.90063 3.31613 0.90004 3.33358 0.90031 3.35103 0.90144 3.36849 0.90338 3.38594 0.90609 3.40339 0.90950 3.42085 0.91352 3.43830 0.91805 3.45575 0.92296 3.47321 0.92815 3.49066 0.93346 3.50811 0.93878 3.52557 0.94396 3.54302 0.94888 3.56047 0.95341 3.57792 0.95742 3.59538 0.96083 3.61283 0.96355 3.63028 0.96549 3.64774 0.96661 3.66519 0.96689 3.68264 0.96630 3.70010 0.96486 3.71755 0.96260 3.73500 0.95957 3.75246 0.95585 3.76991 0.95151 3.78736 0.94667 3.80482 0.94144 3.82227 0.93594 3.83972 0.93031 3.85718 0.92468 3.87463 0.91918 3.89208 0.91395 3.90954 0.90911 3.92699 0.90477 3.94444 0.90105 3.96190 0.89802 3.97935 0.89576 3.99680 0.89432 4.01426 0.89373 4.03171 0.89401 4.04916 0.89513 4.06662 0.89708 4.08407 0.89979 4.10152 0.90320 4.11898 0.90722 4.13643 0.91174 4.15388 0.91666 4.17134 0.92184 4.18879 0.92716 4.20624 0.93247 4.22370 0.93766 4.24115 0.94257 4.25860 0.94710 4.27606 0.95112 4.29351 0.95453 4.31096 0.95724 4.32842 0.95918 4.34587 0.96031 4.36332 0.96058 4.38078 0.95999 4.39823 0.95855 4.41568 0.95629 4.43314 0.95326 4.45059 0.94954 4.46804 0.94521 4.48550 0.94037 4.50295 0.93513 4.52040 0.92964 4.53786 0.92400 4.55531 0.91837 4.57276 0.91287 4.59022 0.90764 4.60767 0.90280 4.62512 0.89847 4.64258 0.89474 4.66003 0.89171 4.67748 0.88945 4.69494 0.88802 4.71239 0.88743 4.72984 0.88770 4.74730 0.88882 4.76475 0.89077 4.78220 0.89348 4.79966 0.89689 4.81711 0.90091 4.83456 0.90543 4.85202 0.91035 4.86947 0.91553 4.88692 0.92085 4.90438 0.92617 4.92183 0.93135 4.93928 0.93627 4.95674 0.94079 4.97419 0.94481 4.99164 0.94822 5.00909 0.95093 5.02655 0.95288 5.04400 0.95400 5.06145 0.95427 5.07891 0.95368 5.09636 0.95224 5.11381 0.94999 5.13127 0.94696 5.14872 0.94323 5.16617 0.93890 5.18363 0.93406 5.20108 0.92883 5.21853 0.92333 5.23599 0.91770 5.25344 0.91206 5.27089 0.90657 5.28835 0.90133 5.30580 0.89649 5.32325 0.89216 5.34071 0.88843 5.35816 0.88541 5.37561 0.88315 5.39307 0.88171 5.41052 0.88112 5.42797 0.88139 5.44543 0.88252 5.46288 0.88446 5.48033 0.88717 5.49779 0.89058 5.51524 0.89460 5.53269 0.89913 5.55015 0.90404 5.56760 0.90922 5.58505 0.91454 5.60251 0.91986 5.61996 0.92504 5.63741 0.92996 5.65487 0.93448 5.67232 0.93850 5.68977 0.94191 5.70723 0.94462 5.72468 0.94657 5.74213 0.94769 5.75959 0.94797 5.77704 0.94738 5.79449 0.94594 5.81195 0.94368 5.82940 0.94065 5.84685 0.93693 5.86431 0.93259 5.88176 0.92775 5.89921 0.92252 5.91667 0.91702 5.93412 0.91139 5.95157 0.90576 5.96903 0.90026 5.98648 0.89503 6.00393 0.89019 6.02139 0.88585 6.03884 0.88213 6.05629 0.87910 6.07375 0.87684 6.09120 0.87540 6.10865 0.87481 6.12611 0.87509 6.14356 0.87621 6.16101 0.87815 6.17847 0.88087 6.19592 0.88427 6.21337 0.88829 6.23083 0.89282 6.24828 0.89774 6.26573 0.90292 6.28319 0.90824 6.30064 0.91355 6.31809 0.91874 6.33555 0.92365 6.35300 0.92818 6.37045 0.93220 6.38791 0.93560 6.40536 0.93832 6.42281 0.94026 6.44026 0.94139 6.45772 0.94166 6.47517 0.94107 6.49262 0.93963 6.51008 0.93737 6.52753 0.93434 6.54498 0.93062 6.56244 0.92628 6.57989 0.92144 6.59734 0.91621 6.61480 0.91071 6.63225 0.90508 6.64970 0.89945 6.66716 0.89395 6.68461 0.88872 6.70206 0.88388 6.71952 0.87954 6.73697 0.87582 6.75442 0.87279 6.77188 0.87053 6.78933 0.86909 6.80678 0.86850 6.82424 0.86878 6.84169 0.86990 6.85914 0.87185 6.87660 0.87456 6.89405 0.87797 6.91150 0.88199 6.92896 0.88651 6.94641 0.89143 6.96386 0.89661 6.98132 0.90193 6.99877 0.90725 7.01622 0.91243 7.03368 0.91734 7.05113 0.92187 7.06858 0.92589 7.08604 0.92930 7.10349 0.93201 7.12094 0.93395 7.13840 0.93508 7.15585 0.93535 7.17330 0.93476 7.19076 0.93332 7.20821 0.93106 7.22566 0.92804 7.24312 0.92431 7.26057 0.91998 7.27802 0.91514 7.29548 0.90991 7.31293 0.90441 7.33038 0.89877 7.34784 0.89314 7.36529 0.88764 7.38274 0.88241 7.40020 0.87757 7.41765 0.87324 7.43510 0.86951 7.45256 0.86649 7.47001 0.86423 7.48746 0.86279 7.50492 0.86220 7.52237 0.86247 7.53982 0.86360 7.55728 0.86554 7.57473 0.86825 7.59218 0.87166 7.60964 0.87568 7.62709 0.88020 7.64454 0.88512 7.66200 0.89030 7.67945 0.89562 7.69690 0.90094 7.71436 0.90612 7.73181 0.91104 7.74926 0.91556 7.76672 0.91958 7.78417 0.92299 7.80162 0.92570 7.81908 0.92765 7.83653 0.92877 7.85398 0.92904 7.87143 0.92846 7.88889 0.92702 7.90634 0.92476 7.92379 0.92173 7.94125 0.91800 7.95870 0.91367 7.97615 0.90883 7.99361 0.90360 8.01106 0.89810 8.02851 0.89247 8.04597 0.88683 8.06342 0.88134 8.08087 0.87610 8.09833 0.87126 8.11578 0.86693 8.13323 0.86321 8.15069 0.86018 8.16814 0.85792 8.18559 0.85648 8.20305 0.85589 8.22050 0.85616 8.23795 0.85729 8.25541 0.85923 8.27286 0.86194 8.29031 0.86535 8.30777 0.86937 8.32522 0.87390 8.34267 0.87881 8.36013 0.88400 8.37758 0.88931 8.39503 0.89463 8.41249 0.89981 8.42994 0.90473 8.44739 0.90926 8.46485 0.91327 8.48230 0.91668 8.49975 0.91940 8.51721 0.92134 8.53466 0.92246 8.55211 0.92274 8.56957 0.92215 8.58702 0.92071 8.60447 0.91845 8.62193 0.91542 8.63938 0.91170 8.65683 0.90736 8.67429 0.90252 8.69174 0.89729 8.70919 0.89179 8.72665 0.88616 8.74410 0.88053 8.76155 0.87503 8.77901 0.86980 8.79646 0.86496 8.81391 0.86062 8.83137 0.85690 8.84882 0.85387 8.86627 0.85161 8.88373 0.85017 8.90118 0.84958 8.91863 0.84986 8.93609 0.85098 8.95354 0.85293 8.97099 0.85564 8.98845 0.85905 9.00590 0.86306 9.02335 0.86759 9.04081 0.87251 9.05826 0.87769 9.07571 0.88301 9.09317 0.88832 9.11062 0.89351 9.12807 0.89842 9.14553 0.90295 9.16298 0.90697 9.18043 0.91038 9.19789 0.91309 9.21534 0.91503 9.23279 0.91616 9.25025 0.91643 9.26770 0.91584 9.28515 0.91440 9.30260 0.91214 9.32006 0.90911 9.33751 0.90539 9.35496 0.90106 9.37242 0.89622 9.38987 0.89098 9.40732 0.88549 9.42478 0.87985 9.44223 0.87422 9.45968 0.86872 9.47714 0.86349 9.49459 0.85865 9.51204 0.85432 9.52950 0.85059 9.54695 0.84756 9.56440 0.84530 9.58186 0.84386 9.59931 0.84328 9.61676 0.84355 9.63422 0.84467 9.65167 0.84662 9.66912 0.84933 9.68658 0.85274 9.70403 0.85676 9.72148 0.86128 9.73894 0.86620 9.75639 0.87138 9.77384 0.87670 9.79130 0.88202 9.80875 0.88720 9.82620 0.89212 9.84366 0.89664 9.86111 0.90066 9.87856 0.90407 9.89602 0.90678 9.91347 0.90872 9.93092 0.90985 9.94838 0.91012 9.96583 0.90953 9.98328 0.90809 10.00074 0.90583 10.01819 0.90281 10.03564 0.89908 10.05310 0.89475 10.07055 0.88991 10.08800 0.88468 10.10546 0.87918 10.12291 0.87355 10.14036 0.86791 10.15782 0.86241 10.17527 0.85718 10.19272 0.85234 10.21018 0.84801 10.22763 0.84428 10.24508 0.84126 10.26254 0.83900 10.27999 0.83756 10.29744 0.83697 10.31490 0.83724 10.33235 0.83837 10.34980 0.84031 10.36726 0.84302 10.38471 0.84643 10.40216 0.85045 10.41962 0.85498 10.43707 0.85989 10.45452 0.86507 10.47198 0.87039 10.48943 0.87571 10.50688 0.88089 10.52434 0.88581 10.54179 0.89033 10.55924 0.89435 10.57670 0.89776 10.59415 0.90047 10.61160 0.90242 10.62906 0.90354 10.64651 0.90382 10.66396 0.90323 10.68142 0.90179 10.69887 0.89953 10.71632 0.89650 10.73377 0.89278 10.75123 0.88844 10.76868 0.88360 10.78613 0.87837 10.80359 0.87287 10.82104 0.86724 10.83849 0.86161 10.85595 0.85611 10.87340 0.85088 10.89085 0.84604 10.90831 0.84170 10.92576 0.83798 10.94321 0.83495 10.96067 0.83269 10.97812 0.83125 10.99557 0.83066 11.01303 0.83093 11.03048 0.83206 11.04793 0.83400 11.06539 0.83672 11.08284 0.84012 11.10029 0.84414 11.11775 0.84867 11.13520 0.85358 11.15265 0.85877 11.17011 0.86408 11.18756 0.86940 11.20501 0.87459 11.22247 0.87950 11.23992 0.88403 11.25737 0.88805 11.27483 0.89145 11.29228 0.89417 11.30973 0.89611 11.32719 0.89723 11.34464 0.89751 11.36209 0.89692 11.37955 0.89548 11.39700 0.89322 11.41445 0.89019 11.43191 0.88647 11.44936 0.88213 11.46681 0.87729 11.48427 0.87206 11.50172 0.86656 11.51917 0.86093 11.53663 0.85530 11.55408 0.84980 11.57153 0.84457 11.58899 0.83973 11.60644 0.83539 11.62389 0.83167 11.64135 0.82864 11.65880 0.82638 11.67625 0.82494 11.69371 0.82435 11.71116 0.82463 11.72861 0.82575 11.74607 0.82770 11.76352 0.83041 11.78097 0.83382 11.79843 0.83784 11.81588 0.84236 11.83333 0.84728 11.85079 0.85246 11.86824 0.85778 11.88569 0.86310 11.90315 0.86828 11.92060 0.87319 11.93805 0.87772 11.95551 0.88174 11.97296 0.88515 11.99041 0.88786 12.00787 0.88980 12.02532 0.89093 12.04277 0.89120 12.06023 0.89061 12.07768 0.88917 12.09513 0.88691 12.11259 0.88389 12.13004 0.88016 12.14749 0.87583 12.16494 0.87099 12.18240 0.86576 12.19985 0.86026 12.21730 0.85462 12.23476 0.84899 12.25221 0.84349 12.26966 0.83826 12.28712 0.83342 12.30457 0.82909 12.32202 0.82536 12.33948 0.82234 12.35693 0.82008 12.37438 0.81864 12.39184 0.81805 12.40929 0.81832 12.42674 0.81945 12.44420 0.82139 12.46165 0.82410 12.47910 0.82751 12.49656 0.83153 12.51401 0.83605 12.53146 0.84097 12.54892 0.84615 12.56637 0.85147 12.58382 0.85679 12.60128 0.86197 12.61873 0.86689 12.63618 0.87141 12.65364 0.87543 12.67109 0.87884 12.68854 0.88155 12.70600 0.88350 12.72345 0.88462 12.74090 0.88489 12.75836 0.88431 12.77581 0.88287 12.79326 0.88061 12.81072 0.87758 12.82817 0.87385 12.84562 0.86952 12.86308 0.86468 12.88053 0.85945 12.89798 0.85395 12.91544 0.84832 12.93289 0.84268 12.95034 0.83719 12.96780 0.83195 12.98525 0.82711 13.00270 0.82278 13.02016 0.81906 13.03761 0.81603 13.05506 0.81377 13.07252 0.81233 13.08997 0.81174 13.10742 0.81201 13.12488 0.81314 13.14233 0.81508 13.15978 0.81779 13.17724 0.82120 13.19469 0.82522 13.21214 0.82975 13.22960 0.83466 13.24705 0.83985 13.26450 0.84516 13.28196 0.85048 13.29941 0.85566 13.31686 0.86058 13.33432 0.86511 13.35177 0.86912 13.36922 0.87253 13.38668 0.87524 13.40413 0.87719 13.42158 0.87831 13.43904 0.87859 13.45649 0.87800 13.47394 0.87656 13.49140 0.87430 13.50885 0.87127 13.52630 0.86755 13.54375 0.86321 13.56121 0.85837 13.57866 0.85314 13.59611 0.84764 13.61357 0.84201 13.63102 0.83638 13.64847 0.83088 13.66593 0.82565 13.68338 0.82081 13.70083 0.81647 13.71829 0.81275 13.73574 0.80972 13.75319 0.80746 13.77065 0.80602 13.78810 0.80543 13.80555 0.80571 13.82301 0.80683 13.84046 0.80877 13.85791 0.81149 13.87537 0.81490 13.89282 0.81891 13.91027 0.82344 13.92773 0.82836 13.94518 0.83354 13.96263 0.83886 13.98009 0.84417 13.99754 0.84936 14.01499 0.85427 14.03245 0.85880 14.04990 0.86282 14.06735 0.86623 14.08481 0.86894 14.10226 0.87088 14.11971 0.87201 14.13717 0.87228 14.15462 0.87169 14.17207 0.87025 14.18953 0.86799 14.20698 0.86496 14.22443 0.86124 14.24189 0.85691 14.25934 0.85207 14.27679 0.84683 14.29425 0.84134 14.31170 0.83570 14.32915 0.83007 14.34661 0.82457 14.36406 0.81934 14.38151 0.81450 14.39897 0.81017 14.41642 0.80644 14.43387 0.80341 14.45133 0.80115 14.46878 0.79971 14.48623 0.79913 14.50369 0.79940 14.52114 0.80052 14.53859 0.80247 14.55605 0.80518 14.57350 0.80859 14.59095 0.81261 14.60841 0.81713 14.62586 0.82205 14.64331 0.82723 14.66077 0.83255 14.67822 0.83787 14.69567 0.84305 14.71313 0.84797 14.73058 0.85249 14.74803 0.85651 14.76549 0.85992 14.78294 0.86263 14.80039 0.86457 14.81785 0.86570 14.83530 0.86597 14.85275 0.86538 14.87021 0.86394 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