RK

RUNGE-KUTTA CUARTO ORDEN

IT x y h k1 k2 k31 0 1 0.5 8.5 4.21875 4.21875

y(0,5)=3.21875

ƒ(x, y) = –2x^3 + 12x^2 – 20x + 8.5 h=0.5 cond. Incial y=1 x=0


k4 Yi+11.25 3.21875

y(0,5)=3.21875

ƒ(x, y) = –2x^3 + 12x^2 – 20x + 8.5 h=0.5 cond. Incial y=1 x=0


x y h k1 x+1/2h y+(1/2)k1h0 2 0.5 3 0.25 2.75

0.5 3.7516995 0.5 4.09144904058 0.75 4.77456176

ƒ(x, y) = 4e^0.8x – 0.5y h=0.5 y(0)=2 desde x=0 hasta 0.5

0 0.50

0.5

1

1.5

2

2.5

3

3.5

4

Column D


k2 x+1/2h y+(1/2)k2h k3 x+h y+k3h k4 ф3.51061103 0.25 2.87765276 3.44678465 0.5 3.72339233 4.10560263 3.5033994.90119432 0.75 4.97699808 4.79997616 1 6.15168758 5.82631992 4.88668499


0 0.50

0.5

1

1.5

2

2.5

3

3.5

4

Column D


Yi+1 Er3.7516995

6.19504199 39.4402895



t x y h k1( para x) k1(para y) x+1/2k1(x)h0 2 1 0.1 1.2 -0.2 2.06

0.1 2.12486228 0.98201225 0.1 1.29785026 -0.15961756 2.189754790.2 2.25968176 0.96811093 0.1 1.39904455 -0.11820196 2.329633990.3 2.40475845 0.95842122 0.1 1.50284723 -0.07530552 2.479900810.4 2.56030341 0.95311636 0.1 1.60820385 -0.03041297 2.64071360.5 2.72640329 0.95242491 0.1 1.71366729 0.01706839 2.812086650.6 2.90297686 0.95663901 0.1 1.81731169 0.06781907 2.993842450.7 3.08972234 0.96612364 0.1 1.91663453 0.12261723 3.185554070.8 3.28605441 0.98132683 0.1 2.00844928 0.18234654 3.386476870.9 3.49103022 1.00279041 0.1 2.08877329 0.24799916 3.59546889

1 3.70326436 1.03116064 0.1 2.15272097 0.32066962 3.810900411.1 3.92083399 1.06719754 0.1 2.19441815 0.40153328 4.030554891.2 4.14117751 1.11178092 0.1 2.20696374 0.4917999 4.25152571.3 4.36099337 1.16590996 0.1 2.18247669 0.59262971 4.470117211.4 4.57614989 1.23069193 0.1 2.11228142 0.70499568 4.681763961.5 4.78162332 1.30731364 0.1 1.98729915 0.82947351 4.880988281.6 4.97148861 1.39698752 0.1 1.7987218 0.96594225 5.06142471.7 5.13899452 1.50086293 0.1 1.53903759 1.11318757 5.21594641.8 5.2767606 1.6198934 0.1 1.20343893 1.26842218 5.336932551.9 5.3771321 1.75465378 0.1 0.79155541 1.42677853 5.41670987

2 5.43271667 1.9051099 0.1 0.3093066 1.58088878 5.4481822.1 5.43709657 2.0703578 0.1 -0.22952531 1.72073435 5.42562032.2 5.38566038 2.24837092 0.1 -0.80258485 1.83399192 5.345531142.3 5.27643581 2.43581532 0.1 -1.37973093 1.90707469 5.207449262.4 5.11074914 2.62800695 0.1 -1.92575157 1.92691972 5.014461572.5 4.89351837 2.819077 0.1 -2.404901 1.88329992 4.773273322.6 4.63303333 3.0023737 0.1 -2.78641845 1.77113026 4.49371242.7 4.34019364 3.17106492 0.1 -3.04958911 1.5920588 4.187714182.8 4.02732791 3.31883788 0.1 -3.18683555 1.35474422 3.867986132.9 3.70684393 3.44055095 0.1 -3.20393853 1.07363487 3.54664701

3 3.38999942 3.53270099 0.1 -3.11751328 0.7665955 3.234123753.1 3.08602175 3.5936249 0.1 -2.95077666 0.45210146 2.938482923.2 2.80167815 3.62343148 0.1 -2.72899951 0.14676146 2.665228183.3 2.54126639 3.62372456 0.1 -2.47578998 -0.13632482 2.417476893.4 2.30690943 3.59721079 0.1 -2.21077238 -0.38823679 2.196370813.5 2.09901076 3.54728327 0.1 -1.94865854 -0.60409089 2.00157783

dx/dt= 1,2x-0,6xy dy/dt=-0,8y+0,3xy h=0.1 x(0)=2 y(0)=1 desde t=0 hasta 30

3.6 1.9167466 3.47764752 0.1 -1.69936552 -0.7823873 1.831778323.7 1.7585126 3.39202568 0.1 -1.46873682 -0.92414457 1.685075763.8 1.62228441 3.29394826 0.1 -1.25949125 -1.03204234 1.559309843.9 1.50588281 3.18662573 0.1 -1.07215158 -1.10969511 1.45227523

4 1.40715279 3.07288402 0.1 -0.90582704 -1.16110202 1.361861434.1 1.32407339 2.95514635 0.1 -0.75881032 -1.19026788 1.286132874.2 1.25481704 2.83544553 0.1 -0.62899877 -1.20096681 1.223367114.3 1.19777414 2.71545421 0.1 -0.51417153 -1.19661312 1.172065564.4 1.15155566 2.59652414 0.1 -0.41215845 -1.18020669 1.130947734.5 1.11498294 2.47972819 0.1 -0.32093325 -1.15432616 1.098936284.6 1.08707082 2.36590164 0.1 -0.2386566 -1.12115052 1.075137994.7 1.06700812 2.25568035 0.1 -0.16368781 -1.08249551 1.058823734.8 1.05413802 2.14953503 0.1 -0.09457834 -1.03985604 1.049409114.9 1.04793962 2.04780112 0.1 -0.03005561 -0.99444932 1.04643684

5 1.04801128 1.95070451 0.1 0.03099734 -0.94725551 1.049561155.1 1.0540562 1.8583834 0.1 0.08956311 -0.89905456 1.058534365.2 1.06586996 1.77090663 0.1 0.14651025 -0.85045845 1.073195475.3 1.08333005 1.68828904 0.1 0.20261151 -0.80193896 1.093460635.4 1.10638715 1.61050436 0.1 0.25855979 -0.75385109 1.119315145.5 1.13505777 1.53749577 0.1 0.31498141 -0.70645266 1.150806845.6 1.1694182 1.46918489 0.1 0.37244691 -0.65992045 1.188040555.7 1.20959935 1.40547914 0.1 0.43147923 -0.61436331 1.231173315.8 1.25578229 1.34627798 0.1 0.49255952 -0.56983277 1.280410265.9 1.30819425 1.29147826 0.1 0.55613044 -0.52633128 1.33600077

6 1.36710488 1.24097875 0.1 0.62259699 -0.48381857 1.398234726.1 1.43282234 1.19468419 0.1 0.69232469 -0.44221629 1.467438586.2 1.50568923 1.15250892 0.1 0.76563491 -0.40141106 1.543970986.3 1.58607773 1.1143803 0.1 0.84279701 -0.36125611 1.628217586.4 1.67438392 1.08024202 0.1 0.92401678 -0.32157166 1.720584766.5 1.77102062 1.05005742 0.1 1.00942074 -0.28214393 1.821491666.6 1.87640851 1.02381301 0.1 1.09903534 -0.24272298 1.931360286.7 1.99096483 1.00152226 0.1 1.19276044 -0.20301913 2.050602866.8 2.11508912 0.98322976 0.1 1.2903358 -0.16269824 2.179605916.9 2.24914518 0.96901601 0.1 1.3912996 -0.1213755 2.31871016

7 2.39343849 0.95900282 0.1 1.49493763 -0.07860798 2.468185377.1 2.54818797 0.95335957 0.1 1.60022194 -0.03388584 2.628199077.2 2.7134911 0.95231035 0.1 1.70573792 0.01337742 2.798777997.3 2.88928102 0.9561422 0.1 1.80959912 0.06385529 2.979760977.4 3.07527467 0.96521424 0.1 1.90935026 0.11831828 3.170742197.5 3.2709106 0.97996788 0.1 2.00186033 0.17764189 3.371003627.6 3.47527579 1.00093746 0.1 2.08321072 0.24281015 3.579436337.7 3.68702145 1.02876102 0.1 2.14858738 0.31491037 3.794450827.8 3.90426881 1.06418971 0.1 2.19219295 0.39511304 4.013878467.9 4.12450812 1.10809421 0.1 2.20720361 0.4846277 4.2348683

8 4.34449707 1.1614649 0.1 2.18580797 0.58462234 4.453787478.1 4.56016932 1.22540164 0.1 2.11937981 0.69609038 4.666138318.2 4.76656966 1.30108672 0.1 1.99885131 0.81964677 4.866512238.3 4.95783975 1.38973324 0.1 1.81536288 0.95523582 5.04860789

8.4 5.12728565 1.49249936 0.1 1.56126044 1.10174168 5.205348678.5 5.2675642 1.61035914 0.1 1.23147495 1.25651373 5.329137958.6 5.37102498 1.74392353 0.1 0.82523586 1.41485823 5.412286778.7 5.43023298 1.89321325 0.1 0.34792615 1.56960611 5.447629298.8 5.43866878 2.05739926 0.1 -0.18730535 1.71093453 5.429303528.9 5.39155455 2.23454752 0.1 -0.75874544 1.82666744 5.35361728

9 5.2866923 2.42142654 0.1 -1.33677147 1.90325988 5.219853739.1 5.1251433 2.61345139 0.1 -1.88641576 1.92753275 5.030822519.2 4.91155499 2.80483163 0.1 -2.37178489 1.88896013 4.792965749.3 4.65398271 2.98895565 0.1 -2.7615495 1.78199986 4.515905249.4 4.36316622 3.15898091 0.1 -3.0340958 1.60776291 4.211461439.5 4.05137299 3.30853113 0.1 -3.1808086 1.37440319 3.892332569.6 3.73105084 3.43235697 0.1 -3.20651802 1.09600394 3.570724949.7 3.41358041 3.52682096 0.1 -3.12715568 0.79026932 3.257222639.8 3.10836317 3.59012028 0.1 -2.96560278 0.47572307 2.960083039.9 2.82235716 3.62223747 0.1 -2.74712013 0.16918438 2.6850011510 2.56003929 3.6246763 0.1 -2.4955411 -0.11594691 2.43526224

10.1 2.32368208 3.60007485 0.1 -2.23083915 -0.37043106 2.2121401210.2 2.11380153 3.55178823 0.1 -1.96810341 -0.58909796 2.0153963610.3 1.92965007 3.48350978 0.1 -1.71759285 -0.77022136 1.8437704310.4 1.76966851 3.39896874 0.1 -1.48542655 -0.9146606 1.6953971910.5 1.6318538 3.30171548 0.1 -1.2745256 -1.0249973 1.5681275210.6 1.51403119 3.19498757 0.1 -1.08554907 -1.10479681 1.4597537310.7 1.41403924 3.08164112 0.1 -0.91768979 -1.15804446 1.3681547510.8 1.32984429 2.96412961 0.1 -0.76928535 -1.18875443 1.2913800210.9 1.25960295 2.84451444 0.1 -0.63825173 -1.20072392 1.22769037

11 1.20168885 2.72449418 0.1 -0.52236995 -1.19739706 1.1755703511.1 1.15469656 2.60544332 0.1 -0.41946199 -1.18180573 1.1337234611.2 1.11743205 2.48845436 0.1 -0.32748873 -1.15655989 1.1010576211.3 1.08889622 2.37437912 0.1 -0.24459601 -1.12386756 1.0766664211.4 1.06826545 2.26386729 0.1 -0.16912818 -1.08557047 1.0598090411.5 1.05487192 2.15740094 0.1 -0.0996227 -1.04318625 1.0498907811.6 1.04818506 2.05532478 0.1 -0.03479436 -0.9979516 1.0464453411.7 1.04779478 1.95787218 0.1 0.02648479 -0.95086327 1.0491190211.8 1.05339681 1.86518727 0.1 0.08520678 -0.90271512 1.0576571411.9 1.06478012 1.77734355 0.1 0.1422481 -0.85413081 1.07189253

12 1.08181638 1.69435947 0.1 0.19838816 -0.80559183 1.0917357912.1 1.10445098 1.61621147 0.1 0.25432537 -0.75746127 1.1171672512.2 1.13269571 1.54284471 0.1 0.3106907 -0.7100037 1.1482302412.3 1.16662252 1.47418216 0.1 0.36805856 -0.6634015 1.1850254412.4 1.20635835 1.41013207 0.1 0.42695526 -0.61776828 1.2277061212.5 1.25208064 1.35059433 0.1 0.48786496 -0.57315956 1.2764738912.6 1.30401327 1.29546579 0.1 0.55123317 -0.52958126 1.3315749312.7 1.3624228 1.24464495 0.1 0.61746776 -0.48699616 1.3932961912.8 1.42761465 1.19803596 0.1 0.68693736 -0.44532866 1.4619615112.9 1.49992894 1.15555232 0.1 0.7599669 -0.40446795 1.53792728

13 1.57973583 1.11712029 0.1 0.83683002 -0.36426975 1.6215773313.1 1.6674298 1.0826822 0.1 0.91773782 -0.32455679 1.71331669

13.2 1.7634227 1.0521998 0.1 1.00282343 -0.28511794 1.8135638813.3 1.86813499 1.02565772 0.1 1.09212174 -0.24570605 1.9227410813.4 1.98198462 1.00306725 0.1 1.18554323 -0.20603464 2.0412617813.5 2.10537302 0.98447047 0.1 1.28284109 -0.16577311 2.1695150813.6 2.23866745 0.96994499 0.1 1.38357037 -0.12454071 2.3078459613.7 2.38217867 0.9596093 0.1 1.48703793 -0.0818992 2.4565305713.8 2.5361333 0.95362894 0.1 1.5922419 -0.03734412 2.615745413.9 2.70063934 0.9522236 0.1 1.6977997 0.00970487 2.78552933

14 2.87564406 0.95567525 0.1 1.80186375 0.05991436 2.9657372514.1 3.06088275 0.96433725 0.1 1.90202536 0.11404718 3.1559840214.2 3.2558174 0.97864438 0.1 1.99520844 0.17297072 3.3555778214.3 3.45956435 0.99912362 0.1 2.07755774 0.23766084 3.5634422314.4 3.67081088 1.02640481 0.1 2.14433029 0.30919754 3.778027414.5 3.88772173 1.06123029 0.1 2.18980525 0.38874618 3.9972119914.6 4.10783838 1.10446158 0.1 2.20723625 0.47751564 4.2182001914.7 4.32797725 1.15708024 0.1 2.18888252 0.5766809 4.4374213814.8 4.54413696 1.22017854 0.1 2.1261693 0.68725469 4.6504454314.9 4.75143073 1.29493399 0.1 2.01004338 0.80988955 4.8519329

15 4.9440673 1.38255986 0.1 1.83159935 0.94459281 5.0356472715.1 5.11541106 1.48422238 0.1 1.58304871 1.09034437 5.194563515.2 5.25815811 1.60091511 0.1 1.25907086 1.24462734 5.3211116515.3 5.3646653 1.73328381 0.1 0.85850585 1.40291921 5.407590615.4 5.42745901 1.88140257 0.1 0.38620961 1.55824854 5.4467694915.5 5.43992288 2.04451581 0.1 -0.14529753 1.70098985 5.4326580115.6 5.39711755 2.22078083 0.1 -0.71494807 1.8191199 5.3613701515.7 5.29662333 2.40706829 0.1 -1.29365244 1.89914559 5.2319407115.8 5.13923842 2.59889316 0.1 -1.84671283 1.92778494 5.0469027815.9 4.9293387 2.79054559 0.1 -2.33812018 1.89422684 4.81243269

16 4.67474089 2.97545752 0.1 -2.73600669 1.79248186 4.5379405516.1 4.38601815 3.14678006 0.1 -3.0178789 1.62312629 4.235124216.2 4.07536895 3.29807731 0.1 -3.17408638 1.39380271 3.9166646316.3 3.75527398 3.42399498 0.1 -3.20849479 1.1182158 3.5948492416.4 3.43723151 3.52076257 0.1 -3.13632781 0.81389275 3.2804151216.5 3.13081444 3.58643722 0.1 -2.98010433 0.49939105 2.9818092216.6 2.84317148 3.6208737 0.1 -2.76505313 0.19173049 2.7049188216.7 2.57896033 3.62547345 0.1 -2.51521893 -0.0953931 2.4531993916.8 2.34060565 3.60280355 0.1 -2.25091862 -0.35242014 2.2280597216.9 2.12873883 3.55617897 0.1 -1.98761916 -0.57389029 2.02935788

17 1.94269108 3.48927913 0.1 -1.73592557 -0.75784587 1.855894817.1 1.78095048 3.40583915 0.1 -1.50223795 -0.90498206 1.7058385817.2 1.64153682 3.30942851 0.1 -1.28968507 -1.01777818 1.5770525717.3 1.52228087 3.20331152 0.1 -1.09906686 -1.09974726 1.4673275317.4 1.42101542 3.09037429 0.1 -0.92966321 -1.15485857 1.3745322617.5 1.33569444 2.97310067 0.1 -0.7798591 -1.18713432 1.2967014917.6 1.26445888 2.85358083 0.1 -0.64759071 -1.20039398 1.2320793417.7 1.20566561 2.73353943 0.1 -0.53064196 -1.1981112 1.1791335117.8 1.15789272 2.61437402 0.1 -0.42682752 -1.18334982 1.1365513517.9 1.11993077 2.49719689 0.1 -0.33409565 -1.15875122 1.10322599

18 1.09076657 2.38287666 0.1 -0.25057744 -1.12655267 1.078237718.1 1.06956394 2.27207703 0.1 -0.17460227 -1.08862213 1.0608338318.2 1.05564398 2.16529162 0.1 -0.10469346 -1.04650018 1.0504093118.3 1.04846636 2.06287455 0.1 -0.03955311 -1.00144327 1.0464887118.4 1.04761242 1.96506678 0.1 0.02195788 -0.95446491 1.0487103218.5 1.05277037 1.87201849 0.1 0.08084108 -0.90637311 1.0568124218.6 1.06372254 1.78380794 0.1 0.13798102 -0.85780334 1.0706215918.7 1.08033467 1.70045726 0.1 0.19416384 -0.80924693 1.0900428618.8 1.10254686 1.62194564 0.1 0.25009359 -0.76107519 1.1150515418.9 1.13036612 1.54822028 0.1 0.30640589 -0.7135595 1.14568641

19 1.16386005 1.47920554 0.1 0.36367912 -0.66688796 1.18204419.1 1.2031516 1.41481056 0.1 0.42244297 -0.62117897 1.2242737519.2 1.24841454 1.35493564 0.1 0.48318463 -0.57649211 1.2725737819.3 1.29986938 1.29947773 0.1 0.54635247 -0.53283679 1.32718719.4 1.35777958 1.24833502 0.1 0.61235721 -0.49017888 1.3883974419.5 1.42244776 1.20141113 0.1 0.68157057 -0.44844553 1.4565262919.6 1.4942116 1.1586187 0.1 0.75432101 -0.40752851 1.5319276519.7 1.57343914 1.11988294 0.1 0.83088638 -0.36728606 1.6149834619.8 1.66052328 1.08514484 0.1 0.91148298 -0.32754339 1.7060974319.9 1.75587482 1.05436456 0.1 0.99625048 -0.28809199 1.80568734

20 1.85991392 1.02752488 0.1 1.08523201 -0.24868755 1.9141755220.1 1.97305918 1.00463493 0.1 1.17834851 -0.20904669 2.031976620.2 2.09571384 0.98573433 0.1 1.27536636 -0.16884234 2.1594821620.3 2.22824844 0.97089781 0.1 1.37585722 -0.12769779 2.297041320.4 2.37097893 0.96024056 0.1 1.47914863 -0.08517941 2.4449363620.5 2.52413936 0.95392436 0.1 1.58426443 -0.04078808 2.6033525820.6 2.68784808 0.95216452 0.1 1.68985355 0.00605046 2.7723407520.7 2.86206614 0.955238 0.1 1.79410676 0.0559959 2.9517714820.8 3.04654687 0.96349243 0.1 1.89466133 0.10980351 3.1412799420.9 3.24077527 0.97735609 0.1 1.98849546 0.16833256 3.34020004

21 3.44389655 0.9973486 0.1 2.07181663 0.23255074 3.5474873921.1 3.65463357 1.02409166 0.1 2.13995242 0.3035306 3.7616311921.2 3.87119395 1.05831886 0.1 2.1872582 0.38243218 3.9805568621.3 4.09116983 1.10088258 0.1 2.20706523 0.47046322 4.2015230921.4 4.31143584 1.15275549 0.1 2.19170422 0.56880501 4.4210210521.5 4.52805513 1.21502212 0.1 2.13265387 0.67848845 4.6346878321.6 4.73620924 1.28885493 0.1 2.02087911 0.80020204 4.837253221.7 4.93017432 1.37546691 0.1 1.84743421 0.93401396 5.0225460321.8 5.10337406 1.47603162 0.1 1.60440399 1.07899715 5.1835942621.9 5.24854566 1.59156113 0.1 1.28622602 1.23276548 5.31285696

22 5.3580562 1.72273473 0.1 0.89136173 1.39096507 5.4026242922.1 5.42439734 1.8696784 0.1 0.42414967 1.54682084 5.4456048222.2 5.44086053 2.03170849 0.1 -0.10351289 1.69090597 5.4356848922.3 5.40234979 2.20707253 0.1 -0.67120693 1.81135532 5.3687894422.4 5.30622779 2.3927428 0.1 -1.25038967 1.89473726 5.2437083122.5 5.1530318 2.58433496 0.1 -1.80665797 1.9276801 5.062698922.6 4.94686544 2.77622183 0.1 -2.30391897 1.89910128 4.8316694922.7 4.69530281 2.96188225 0.1 -2.70979706 1.80257442 4.55981296

22.8 4.40874395 3.134465 0.1 -3.00093942 1.63814408 4.2586969822.9 4.09931055 3.28747842 0.1 -3.16666431 1.41293575 3.94097733

23 3.77950877 3.41546621 0.1 -3.20986018 1.14026238 3.6190157623.1 3.4609491 3.51452624 0.1 -3.14501893 0.83745794 3.3036981623.2 3.15337305 3.58257542 0.1 -2.99427041 0.5230987 3.0036595323.3 2.86411964 3.61933927 0.1 -2.78278885 0.21439479 2.724980223.4 2.59802891 3.62611469 0.1 -2.53481578 -0.07466651 2.4712881223.5 2.35768021 3.60539534 0.1 -2.2710053 -0.3342055 2.2441299423.6 2.14382317 3.56045387 0.1 -2.00720229 -0.55846804 2.0434630623.7 1.9558704 3.494954 0.1 -1.75436177 -0.74526007 1.8681523223.8 1.79235941 3.41263546 0.1 -1.51917028 -0.89510758 1.716400923.9 1.65133441 3.31708606 0.1 -1.30496972 -1.01038334 1.58608592

24 1.53063277 3.21159642 0.1 -1.11270551 -1.09454472 1.4749974924.1 1.42808217 3.09908256 0.1 -0.94174813 -1.15154268 1.3809947724.2 1.34162459 2.98205874 0.1 -0.79053249 -1.18540599 1.3020979624.3 1.26938546 2.86264403 0.1 -0.65701667 -1.19997561 1.2365346324.4 1.20970495 2.74258946 0.1 -0.53898848 -1.19875435 1.1827555324.5 1.16114462 2.6233158 0.1 -0.43425587 -1.18483793 1.1394318324.6 1.12247948 2.50595545 0.1 -0.34075476 -1.16089929 1.1054417424.7 1.09268217 2.39139401 0.1 -0.25660156 -1.12920513 1.0798520924.8 1.07090385 2.2803094 0.1 -0.18011065 -1.09164988 1.0618983224.9 1.05645441 2.17320695 0.1 -0.10979115 -1.04979734 1.05096485

25 1.04878366 2.07045035 0.1 -0.0443323 -1.00492393 1.0465670525.1 1.04746431 1.97228827 0.1 0.01741623 -0.95806014 1.0483351325.2 1.05217696 1.87887706 0.1 0.07646566 -0.9100283 1.0560002525.3 1.06269724 1.79029981 0.1 0.13370869 -0.86147585 1.0693826825.4 1.07888492 1.70658241 0.1 0.18993829 -0.81290412 1.0883818325.5 1.10067477 1.62770688 0.1 0.24586419 -0.76469274 1.1129679825.6 1.12806896 1.5536225 0.1 0.30212676 -0.71712 1.143175325.7 1.16113073 1.48425507 0.1 0.35930837 -0.6703798 1.1790961525.8 1.19997902 1.41951463 0.1 0.41794216 -0.62459538 1.2208761225.9 1.24478388 1.35930198 0.1 0.47851834 -0.57983042 1.2687098

26 1.29576245 1.30351411 0.1 0.54148816 -0.5360979 1.3228368526.1 1.35317507 1.252049 0.1 0.60726518 -0.49336675 1.3835383326.2 1.41732154 1.20480971 0.1 0.6762242 -0.45156694 1.4511327526.3 1.48853703 1.16170809 0.1 0.74869713 -0.41059282 1.5259718926.4 1.5671875 1.12266826 0.1 0.824966 -0.37030511 1.608435826.5 1.65366417 1.08762993 0.1 0.90525222 -0.33053155 1.6989267826.6 1.74837678 1.05655168 0.1 0.98970188 -0.29106622 1.7978618726.7 1.85174512 1.02941447 0.1 1.07836621 -0.25166761 1.9056634326.8 1.96418834 1.00622529 0.1 1.17117642 -0.21205544 2.0227471626.9 2.08611141 0.98702129 0.1 1.26791187 -0.17190612 2.149507

27 2.21788804 0.97187439 0.1 1.36816049 -0.13084694 2.2862960627.1 2.35983917 0.96089653 0.1 1.47127023 -0.08844884 2.4334026827.2 2.51220613 0.95424572 0.1 1.57629019 -0.04421799 2.5910206427.3 2.67511736 0.95213297 0.1 1.68190037 0.00241385 2.7592123727.4 2.84854742 0.95483028 0.1 1.78632931 0.05209958 2.9378638927.5 3.03226732 0.9626796 0.1 1.88725966 0.10558689 3.1266303

27.6 3.22578466 0.97610275 0.1 1.98172323 0.16372698 3.3248708227.7 3.42827307 0.99561208 0.1 2.06598964 0.22747936 3.5315725527.8 3.63849041 1.02182123 0.1 2.13545644 0.29790904 3.7452632327.9 3.85468665 1.05545503 0.1 2.18455494 0.3761705 3.9639144

28 4.07450401 1.09735676 0.1 2.2066941 0.46346995 4.1848387128.1 4.29487473 1.14849013 0.1 2.19427694 0.56099427 4.4045885828.2 4.51192612 1.20993184 0.1 2.13883751 0.66979145 4.61886828.3 4.72090787 1.282849 0.1 2.03136227 0.79058438 4.8224759928.4 4.91616382 1.36845387 0.1 1.86287054 0.92349993 5.0093073528.5 5.0911779 1.46792667 0.1 1.62532798 1.06770142 5.172444328.6 5.23873021 1.58229701 0.1 1.31293998 1.22093053 5.3043772128.7 5.35120083 1.71227639 0.1 0.92380008 1.37899934 5.3973908428.8 5.4210506 1.85804125 0.1 0.46173934 1.53532769 5.4441375728.9 5.44148349 2.01897835 0.1 -0.06196223 1.68068853 5.43838538

29 5.40725176 2.1934242 0.1 -0.62753602 1.8033797 5.3758749629.1 5.31550467 2.37845228 0.1 -1.20699891 1.89004043 5.2551547229.2 5.16652087 2.56977948 0.1 -1.76626654 1.92722221 5.0782075429.3 4.96413121 2.76186332 0.1 -2.2691937 1.90358492 4.8506715329.4 4.71566349 2.9482328 0.1 -2.68292806 1.81227589 4.5815170829.5 4.43133819 3.12203835 0.1 -2.98327884 1.65281165 4.2821742529.6 4.12319247 3.2767365 0.1 -3.15853819 1.43179538 3.9652655629.7 3.80375056 3.40677195 0.1 -3.21060576 1.16213565 3.6432202729.8 3.48472952 3.50811245 0.1 -3.15321839 0.86095695 3.327068629.9 3.17603643 3.57853462 0.1 -3.00809008 0.5468392 3.02563192

30 2.88520012 3.61763332 0.1 -2.80031752 0.23717217 2.74518424


y+1/2k1(y)h k2 (para x) k2(para y) x+1/2k1(x)h y+(1/2)k2(y)h k3 (para x) k3 (para y)0.99 1.24836 -0.18018 2.062418 0.990991 1.24859899 -0.1796415

0.9740313702 1.34797183 -0.13935814 2.19226087 0.97504434151 1.34818211 -0.138770010.9622008312 1.45061533 -0.09728794 2.33221253 0.96324653238 1.45075765 -0.096648540.9546559426 1.55540975 -0.05348914 2.48252894 0.95574676146 1.55543333 -0.052796710.9515957124 1.66112128 -0.00740905 2.64335947 0.95274590842 1.66096141 -0.006661750.9532783341 1.76608322 0.04158772 2.81470745 0.9545043002 1.76565872 0.042391670.9600299643 1.86810386 0.09422957 2.99638205 0.96135048926 1.86731445 0.095091610.9722545006 1.96436331 0.15134718 3.1879405 0.97369099841 1.96308722 0.152267890.9904441569 2.05130251 0.21387954 3.38861953 0.99202080696 2.04939479 0.214857681.0151903662 2.12451144 0.28287332 3.59725579 1.01693407417 2.12180376 0.283904341.0471941185 2.178629 0.35947045 3.81219581 1.04913416006 2.17493206 0.360544131.0872742047 2.20727485 0.44487615 4.03119773 1.08944134787 2.20238518 0.445972971.1363709116 2.20304476 0.54029631 4.25132975 1.1387957319 2.19675799 0.541382271.1955414428 2.15761442 0.64682996 4.46887409 1.1982514551 2.14974798 0.64784931.2659417163 2.06201257 0.76529872 4.67925052 1.26895686826 2.05244037 0.766164631.3487873174 1.90713688 0.89599467 4.87698017 1.35211337575 1.89583813 0.89657833

1.445284633 1.68459004 1.03833209 5.05571811 1.44890412536 1.67171124 1.038451951.5565223116 1.38789351 1.19040324 5.2083892 1.56038309487 1.37381756 1.18981826

1.683314507 1.01407747 1.34846919 5.32746448 1.68731685748 0.999485 1.34688271.825992711 0.5655282 1.50646765 5.40540851 1.82997716721 0.55142572 1.50355051

1.9841543427 0.05179801 1.65568672 5.43530657 1.98789423976 0.03947911 1.651128992.1563945223 -0.50912238 1.78481775 5.41164045 2.15959869238 -0.51821444 1.778412542.3400705146 -1.09071452 1.88061953 5.33112466 2.34240189509 -1.09523231 1.872369442.5311690517 -1.65962153 1.92934508 5.19345473 2.53228257101 -1.65863126 1.919562412.7243529312 -2.17934396 1.91886657 5.00178195 2.72395027399 -2.17262485 1.908221372.9132419929 -2.61549218 1.84111649 4.76274376 2.91113282121 -2.60369529 1.830587643.0909302119 -2.94139597 1.69418126 4.48596353 3.0870827618 -2.92596817 1.684895993.2506678617 -3.14246372 1.48332608 4.18307045 3.24523122573 -3.12533397 1.476324273.3865750867 -3.21795193 1.22050757 3.86643032 3.37986325426 -3.20108707 1.216511123.4942326935 -3.17970955 0.92245682 3.54785846 3.48667379137 -3.16470491 0.92172853.5710307642 -3.04854475 0.60792201 3.23757218 3.5630970901 -3.03638379 0.610257533.6162299733 -2.8495585 0.29488502 2.94354382 3.60836915132 -2.84058305 0.29972253.6307695535 -2.60782378 -0.00156684 2.67128697 3.62335313813 -2.60186525 0.005022293.6169083152 -2.34530309 -0.27038897 2.42400123 3.61020510757 -2.3418835 -0.262821593.5777989541 -2.07925894 -0.50478721 2.20294648 3.57197143299 -2.07778136 -0.496918583.5170787303 -1.82193069 -0.70175094 2.00791422 3.51219572794 -1.82181559 -0.69410026


3.4385281568 -1.58103882 -0.86123612 1.83769466 3.43458571565 -1.5817983 -0.854152633.3458184511 -1.36068363 -0.98526749 1.69047842 3.34276230527 -1.36194642 -0.97894958

3.242346145 -1.16232154 -1.07713024 1.56416833 3.24009175012 -1.16382734 -1.071658733.1311409747 -0.98563681 -1.14072923 1.45660097 3.12958926854 -0.9872165 -1.136102583.0148289172 -0.82923382 -1.18012936 1.36569109 3.01387755008 -0.83078612 -1.176294322.8956329544 -0.69114179 -1.19925574 1.2895163 2.8951835615 -0.69261228 -1.196130932.7753971857 -0.56915725 -1.20171886 1.22635918 2.77535958303 -0.57052161 -1.199211352.6556235562 -0.46106027 -1.19072937 1.17472112 2.65591774371 -0.46231226 -1.188745392.5375138023 -0.36474001 -1.1690724 1.13331865 2.53807051715 -0.36588321 -1.167523612.4220118825 -0.2782585 -1.13911849 1.10107002 2.42277226627 -0.27930112 -1.137925242.3098441139 -0.19987511 -1.10285494 1.07707706 2.31075889281 -0.20082677 -1.101947492.2015555787 -0.1280471 -1.06192668 1.06060576 2.2025840202 -0.12891707 -1.061245222.0975422294 -0.06141702 -1.01767981 1.05106717 2.09865104109 -0.06221332 -1.017173871.9980786519 0.00120634 -0.97120399 1.04799993 1.99924091825 0.00047731 -0.970831431.9033417388 0.06086925 -0.92337133 1.05105474 1.90453594783 0.06020277 -0.9230973

1.813430677 0.11849402 -0.87487094 1.0599809 1.81463985797 0.11788693 -0.874666811.7283837046 0.17489843 -0.8262389 1.07461488 1.72959468237 0.17434895 -0.826081291.6481920953 0.23081286 -0.77788373 1.09487069 1.64939485679 0.23032038 -0.777753661.5728118006 0.28689493 -0.73010782 1.12073189 1.57399896383 0.28645977 -0.729989921.5021731384 0.34374153 -0.68312518 1.15224484 1.50333951275 0.34336469 -0.683007051.4361888709 0.40189829 -0.63707591 1.18951311 1.43733109761 0.40158122 -0.636947621.3747609718 0.46186656 -0.59203807 1.23269268 1.37587723391 0.46161094 -0.591891651.3177863417 0.52410802 -0.54803693 1.28198769 1.31887613402 0.52391545 -0.547866021.2651616965 0.58904672 -0.50505226 1.33764659 1.2662256476 0.58891845 -0.504851791.2167878231 0.65706868 -0.46302376 1.39995831 1.21782756352 0.65700528 -0.462789711.1725733763 0.72851865 -0.42185488 1.46924827 1.173591447 0.7285196 -0.421583991.1324383693 0.80369399 -0.3814151 1.54587393 1.1334381669 0.80375721 -0.381104781.0963174987 0.88283504 -0.34154097 1.63021949 1.09730325551 0.88295629 -0.341189061.0641634377 0.96611168 -0.30203573 1.7226895 1.06514023388 0.96628386 -0.301640421.0359502234 1.05360518 -0.26266777 1.82370088 1.03692403143 1.05381749 -0.262227441.0116768652 1.14528483 -0.22316774 1.93367275 1.01265462705 1.14552171 -0.22268090.9913713038 1.24097813 -0.1832244 2.05301374 0.99236104041 1.24121798 -0.182689580.9750948492 1.34033359 -0.14247913 2.1821058 0.9761058046 1.34054728 -0.14189480.9629472354 1.44277487 -0.10051913 2.32128392 0.96399005416 1.44292394 -0.099883660.9550724224 1.54744497 -0.0568692 2.47081074 0.95615936109 1.54747959 -0.056180840.9516652753 1.65313941 -0.01098248 2.63084495 0.95281044309 1.65299601 -0.010239390.9529792243 1.75822722 0.0377698 2.80140246 0.95419884373 1.75782596 0.038569420.9593349637 1.86055984 0.0901087 2.98230901 0.96064763384 1.85980196 0.090966320.9711301585 1.95736861 0.14685688 3.1731431 0.97255708855 1.95613403 0.147773170.9888499718 2.04515424 0.20894507 3.37316831 0.99041513068 2.04329981 0.209918981.0130779675 2.11957475 0.27741205 3.58125453 1.01480806253 2.11693385 0.278439341.0445065352 2.17534378 0.35339338 3.79578864 1.04643068557 2.17172854 0.354464371.0839453637 2.20615918 0.43809119 4.01457677 1.08609427133 2.20136683 0.439187231.1323255918 2.20469211 0.53271445 4.23474273 1.13472992938 2.19851768 0.533802851.1906960182 2.16268076 0.63837529 4.45263111 1.1933836657 2.15493899 0.639402241.2602061565 2.07118824 0.75592394 4.66372873 1.26319783488 2.06174726 0.75680534

1.342069056 1.92109739 0.8857034 4.86262453 1.34537188744 1.90992643 0.886313991.4374950302 1.70392022 1.0272086 5.04303576 1.44109366945 1.69115077 1.02737114

1.5475864472 1.41298217 1.17864896 5.19793476 1.55143181121 1.39897691 1.178126951.673184825 1.04498589 1.33644196 5.3198135 1.67718123656 1.03040137 1.33494242

1.8146664461 0.60184701 1.4947154 5.40111733 1.81865930469 0.58766542 1.491910241.9716935584 0.0925218 1.64496183 5.43485907 1.97546134412 0.08001848 1.640537132.1429459913 -0.4656583 1.77605447 5.41538587 2.14620198799 -0.47504411 1.769791982.3258808887 -1.04678493 1.87485812 5.33921531 2.32829042308 -1.05168795 1.866740822.5165895353 -1.61791309 1.92759715 5.20579665 2.51780639872 -1.61735689 1.91791131

2.709828026 -2.14261129 1.92193673 5.01801274 2.7095482249 -2.13631322 1.911325672.89927964 -2.5861299 1.84942068 4.78224849 2.89730266767 -2.5746746 1.83884426

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1.78122636 0.7084841 1.45921136 5.38662504 1.78523696099 0.69410878 1.456731071.9348076349 0.21294972 1.61216157 5.43169809 1.93864932898 0.19994299 1.608127892.1030127775 -0.33613391 1.74868796 5.4246768 2.10641274914 -0.34635286 1.742852312.2835931895 -0.91473692 1.85601888 5.36151492 2.28622514838 -0.92076024 1.848308952.4729542998 -1.49126881 1.9203638 5.24094123 2.47447046815 -1.4920031 1.910989912.6661405889 -2.0296801 1.9288521 5.06503686 2.66622208361 -2.02466365 1.918376282.8570425683 -2.49433919 1.87193846 4.83941425 2.85546024523 -2.4839559 1.861258313.0388465895 -2.85569604 1.745681 4.57287868 3.03551684504 -2.84117575 1.735901613.2046789322 -3.09518706 1.55315494 4.27657884 3.19969609633 -3.07835696 1.545368913.3483262684 -3.20788303 1.30443983 3.96279832 3.34195849133 -3.19074651 1.299485453.4648787371 -3.20212554 1.01509194 3.64364428 3.45752655163 -3.18642497 1.013377813.5511602989 -3.09649004 0.70355794 3.32990502 3.5432903486 -3.08340617 0.705013823.6058765811 -2.91527487 0.38831532 3.03027268 3.59795038744 -2.90533525 0.392470923.6294919332 -2.68395335 0.08549367 2.75100245 3.62190800837 -2.67712374 0.09163694


x+k3(x)h y+k3(y)h k4 (para x) k4 (para y) ф (para x) ф (para y) Xi+1 Yi+12.1248599 0.98203585 1.29781872 -0.1596221 1.24862278 -0.17987752 2.12486228 0.98201225

2.25968049 0.96813525 1.39901079 -0.1182053 1.34819482 -0.13901319 2.25968176 0.968110932.40475753 0.95844608 1.50281078 -0.07530774 1.45076688 -0.09689711 2.40475845 0.958421222.56030178 0.95314155 1.60816414 -0.03041424 1.55544959 -0.05304858 2.56030341 0.953116362.72639955 0.95245019 1.7136236 0.01706778 1.66099881 -0.00691446 2.72640329 0.952424912.90296916 0.95666408 1.8172632 0.06781863 1.76573573 0.04214097 2.90297686 0.956639013.08970831 0.96614817 1.91658035 0.12261627 1.86745478 0.09484628 3.08972234 0.966123643.28603106 0.98135043 2.00838848 0.18234405 1.96332068 0.15203191 3.28605441 0.981326833.49099389 1.0028126 2.08870507 0.24799372 2.04975816 0.21463578 3.49103022 1.00279041

3.7032106 1.03118084 2.15264482 0.32065927 2.12234142 0.28370229 3.70326436 1.031160643.92075757 1.06721505 2.19433419 0.40151541 2.17569621 0.36036903 3.92083399 1.06719754

4.1410725 1.11179484 2.20687319 0.49177104 2.20343523 0.44583376 4.14117751 1.111780924.36085331 1.16591914 2.18238256 0.59258539 2.19815863 0.54129041 4.36099337 1.165909964.57596817 1.23069489 2.11218943 0.70493028 2.15156515 0.64781975 4.57614989 1.230691934.78139392 1.3073084 1.98721886 0.82938021 2.05473436 0.7662171 4.78162332 1.307313644.97120714 1.39697148 1.79866782 0.96581319 1.89865283 0.89673879 4.97148861 1.396987525.13865973 1.50083272 1.53903049 1.11301442 1.67505914 1.03875412 5.13899452 1.500862935.27637628 1.61984476 1.20350526 1.26819733 1.37766083 1.19030465 5.2767606 1.6198934

5.3767091 1.75458167 0.79172579 1.42649723 1.00371494 1.34760387 5.3771321 1.754653785.43227467 1.90500884 0.30961086 1.58055231 0.55584568 1.50456119 5.43271667 1.90510995.43666458 2.0702228 -0.2290667 1.72035385 0.04379903 1.65247901 5.43709657 2.07035785.38527513 2.24819906 -0.80197213 1.83359189 -0.51436185 1.78013114 5.38566038 2.248370925.27613715 2.43560786 -1.3789961 1.90669405 -1.09224577 1.87444398 5.27643581 2.435815325.11057268 2.62777156 -1.92496331 1.92660802 -1.65686664 1.92191628 5.11074914 2.628006954.89348666 2.81882908 -2.40415752 1.88310749 -2.17230778 1.91070052 4.89351837 2.8190774.63314884 3.00213576 -2.78582648 1.77109393 -2.6048504 1.83296702 4.63303333 3.00237374.34043651 3.1708633 -3.04923468 1.59218861 -2.9283969 1.68691223 4.34019364 3.171064924.02766024 3.31869735 -3.18675893 1.35501773 -3.12865724 1.47772954 4.02732791 3.31883788

3.7072192 3.44048899 -3.20412506 1.07400286 -3.20483977 1.21713075 3.70684393 3.440550953.39037344 3.5327238 -3.11790364 0.76699685 -3.16844518 0.92150039 3.38999942 3.532700993.08636104 3.59372674 -2.95128967 0.45248007 -3.03977667 0.60923911 3.08602175 3.59362492.80196344 3.62359715 -2.72955592 0.14707831 -2.84343595 0.2980658 2.80167815 3.623431482.54149163 3.62393371 -2.47632836 -0.13608781 -2.60411765 0.00293076 2.54126639 3.623724562.30707804 3.5974424 -2.21125456 -0.38807981 -2.34356962 -0.26513763 2.30690943 3.597210792.09913129 3.54751894 -1.94906725 -0.60400275 -2.07898671 -0.49927518 2.09901076 3.54728327

1.9168292 3.47787325 -1.69969836 -0.7823519 -1.82264158 -0.69635753 1.9167466 3.47764752


1.75856677 3.39223226 -1.46900003 -0.92414573 -1.58233997 -0.85621842 1.7585126 3.392025681.62231796 3.29413072 -1.25969491 -1.03206635 -1.36228197 -0.98077418 1.62228441 3.293948261.50590167 3.18678239 -1.07230655 -1.10973163 -1.16401593 -1.07322532 1.50588281 3.186625731.40716116 3.07301547 -0.90594342 -1.16114397 -0.98730027 -1.13741712 1.40715279 3.072884021.32407417 2.95525459 -0.75889676 -1.19031079 -0.83079395 -1.1773767 1.32407339 2.955146351.25481216 2.83553326 -0.62906238 -1.20100812 -0.69256347 -1.19700822 1.25481704 2.835445531.19776488 2.71552439 -0.51421799 -1.19665159 -0.57042908 -1.19991314 1.19777414 2.715454211.15154291 2.59657967 -0.41219226 -1.18024186 -0.46218481 -1.18930075 1.15155566 2.596524141.11496733 2.47977178 -0.32095791 -1.15435806 -0.36572713 -1.16795946 1.11498294 2.479728191.08705283 2.36593567 -0.23867484 -1.12117941 -0.27912122 -1.13826551 1.08707082 2.365901641.06698814 2.25570689 -0.16370173 -1.08252176 -0.20062701 -1.10221286 1.06700812 2.255680351.05411641 2.14955583 -0.09458955 -1.03988004 -0.12870095 -1.06145323 1.05413802 2.149535031.04791669 2.04781764 -0.03006534 -0.99447143 -0.06198406 -1.01733914 1.04793962 2.047801121.04798735 1.95071797 0.03098816 -0.94727605 0.00071664 -0.97096604 1.04801128 1.950704511.05403156 1.85839478 0.08955382 -0.8990738 0.0604492 -0.92321109 1.0540562 1.85838341.06584489 1.77091672 0.14650034 -0.85047661 0.11813756 -0.87476778 1.06586996 1.770906631.08330485 1.6882985 0.20260065 -0.80195621 0.17460094 -0.82617584 1.08333005 1.688289041.10636209 1.61051368 0.25854774 -0.75386756 0.23057095 -0.77784688 1.10638715 1.610504361.13503312 1.53750536 0.31496804 -0.70646844 0.2867062 -0.73008584 1.13505777 1.537495771.16939424 1.46919507 0.37243214 -0.65993558 0.34360433 -0.68310878 1.1694182 1.469184891.20957632 1.40549013 0.43146304 -0.61437783 0.40181149 -0.63705756 1.20959935 1.405479141.25576044 1.34628997 0.49254192 -0.56984667 0.46182936 -0.59201157 1.25578229 1.346277981.30817383 1.29149138 0.55611146 -0.52634454 0.52411965 -0.5479972 1.30819425 1.29147826

1.3670861 1.24099308 0.62257668 -0.48383115 0.58910625 -0.50499509 1.36710488 1.240978751.4328054 1.19469978 0.6923031 -0.44222813 0.65717467 -0.46294561 1.43282234 1.194684191.5056743 1.15252579 0.76561208 -0.40142209 0.72866888 -0.42175269 1.50568923 1.15250892

1.58606495 1.11439844 0.84277295 -0.36126626 0.80388504 -0.38128618 1.58607773 1.11438031.67437336 1.0802614 0.92399149 -0.32158085 0.88306186 -0.34138284 1.67438392 1.080242021.77101231 1.05007798 1.00939415 -0.28215208 0.966367 -0.301846 1.77102062 1.050057421.87640237 1.02383468 1.09900736 -0.24273 1.05387891 -0.26244406 1.87640851 1.023813011.99096068 1.00154492 1.19273088 -0.20302497 1.14556322 -0.22290754 1.99096483 1.001522262.11508663 0.9832533 1.29030441 -0.16270287 1.24124284 -0.18292499 2.11508912 0.983229762.24914385 0.96904028 1.39126602 -0.12137893 1.34056059 -0.14213751 2.24914518 0.969016012.39343757 0.95902764 1.49490141 -0.07861028 1.4429331 -0.10013189 2.39343849 0.959002822.54818645 0.95338474 1.6001825 -0.03388717 1.54749488 -0.05643254 2.54818797 0.953359572.71348758 0.95233563 1.70569455 0.01337677 1.65303122 -0.01049214 2.7134911 0.952310352.88927369 0.9561673 1.80955102 0.06385487 1.75789922 0.03831846 2.88928102 0.95614223.07526121 0.96523883 1.90929653 0.1183174 1.85993654 0.09072045 3.07527467 0.965214243.27088808 0.97999156 2.00180006 0.17763956 1.95635927 0.14753633 3.2709106 0.979967883.47524058 1.00095977 2.08314308 0.24280499 2.04365192 0.20969583 3.47527579 1.000937463.68696918 1.02878139 2.14851184 0.31490047 2.11745662 0.27823557 3.68702145 1.028761023.90419431 1.06420745 2.19210956 0.39509584 2.1724736 0.35428695 3.90426881 1.06418971

4.1244055 1.10810843 2.20711348 0.48459981 2.20239308 0.43904495 4.12450812 1.108094214.34435989 1.16147449 2.18571395 0.58457937 2.19988952 0.53370695 4.34449707 1.16146494.55999097 1.22540513 2.11928738 0.69602679 2.15672248 0.63936736 4.56016932 1.225401644.76634405 1.30108217 1.9987697 0.81955584 2.06400342 0.7568508 4.76656966 1.301086724.95756231 1.38971812 1.81530628 0.95510975 1.91270087 0.88646522 4.95783975 1.389733245.12695483 1.49247035 1.56124894 1.10157214 1.69445897 1.02766124 5.12728565 1.49249936

5.26718334 1.61031206 1.2315347 1.25629301 1.40278555 1.17859775 5.2675642 1.610359145.37060434 1.74385338 0.82539729 1.41458126 1.03460779 1.33564396 5.37102498 1.743923535.42979152 1.89311456 0.3482194 1.56927357 0.59208002 1.49289718 5.43023298 1.893213255.43823483 2.05726697 -0.18685872 1.71055669 0.084358 1.64186012 5.43866878 2.057399265.39116437 2.23437846 -0.75814369 1.8262677 -0.47114231 1.77148252 5.39155455 2.234547525.28638576 2.4212216 -1.33604392 1.90287613 -1.04862252 1.86879024 5.2866923 2.421426545.12495661 2.61321767 -1.88562838 1.92721402 -1.61548997 1.92024847 5.1251433 2.613451394.91151198 2.80458396 -2.37103424 1.88875715 -2.13588317 1.91380245 4.91155499 2.804831634.65408753 2.98871606 -2.76094265 1.78195099 -2.57572276 1.84124017 4.65398271 2.988955654.36340062 3.15877562 -3.03372135 1.60788056 -2.90816485 1.70025255 4.36316622 3.158980914.05170014 3.30838526 -3.18071084 1.3746673 -3.11793238 1.49550224 4.05137299 3.30853113

3.7314245 3.43228871 -3.2066863 1.09636689 -3.20322144 1.23825844 3.73105084 3.432356973.41395587 3.52683743 -3.12753336 0.79067026 -3.17470431 0.94463988 3.41358041 3.526820963.10870593 3.59021658 -2.96610944 0.47610501 -3.05217243 0.63299314 3.10836317 3.590120282.82264688 3.622399 -2.74767568 0.16950678 -2.8600601 0.32117197 2.82235716 3.622237472.56026904 3.62488292 -2.49608246 -0.11570368 -2.62317866 0.02438831 2.56003929 3.62467632.32385471 3.60030545 -2.23132641 -0.37026833 -2.36357217 -0.24601452 2.32368208 3.600074852.11392535 3.55202413 -1.96851789 -0.58900515 -2.09880544 -0.4828662 2.11380153 3.551788231.92973519 3.48373664 -1.71793128 -0.77018256 -1.84151461 -0.68278451 1.92965007 3.483509781.76972453 3.39917698 -1.4856947 -0.91465952 -1.59981557 -0.84541046 1.76966851 3.398968741.63188868 3.30189985 -1.27473338 -1.02501998 -1.37814717 -0.9725326 1.6318538 3.301715481.51405099 3.19514618 -1.08570736 -1.10483267 -1.17822609 -1.06727901 1.51403119 3.194987571.41404829 3.08177442 -0.91780876 -1.15808618 -0.99991949 -1.13346457 1.41403924 3.081641121.32984557 2.96423951 -0.76937378 -1.18879737 -0.84194947 -1.1751151 1.32984429 2.964129611.25959845 2.84460362 -0.63831684 -1.2007654 -0.70241338 -1.19615167 1.25960295 2.844514441.20167989 2.72456558 -0.52241753 -1.19743576 -0.57914102 -1.20020265 1.20168885 2.724494181.15468405 2.60549987 -0.41949662 -1.18184115 -0.46992296 -1.19050855 1.15469656 2.605443321.11741664 2.48849876 -0.32751399 -1.15659203 -0.37264502 -1.16988963 1.11743205 2.48845436

1.0888784 2.37441379 -0.24461465 -1.12389667 -0.2853583 -1.14075237 1.08889622 2.374379121.06824561 2.26389433 -0.16914237 -1.08559691 -0.20630776 -1.10511831 1.06826545 2.263867291.05485042 2.15742212 -0.09963407 -1.04321041 -0.13393528 -1.06466351 1.05487192 2.157400941.04816222 2.05534158 -0.03480418 -0.99797385 -0.06686857 -1.02076158 1.04818506 2.055324781.04777091 1.95788584 0.0264756 -0.95088392 -0.00390281 -0.97452599 1.04779478 1.957872181.05337221 1.86519878 0.08519752 -0.90273446 0.05602024 -0.92684913 1.05339681 1.865187271.06475508 1.77735372 0.14223826 -0.85414905 0.11383319 -0.87843723 1.06478012 1.777343551.08179118 1.69436896 0.19837738 -0.80560915 0.17036256 -0.8298407 1.08181638 1.69435947

1.1044259 1.61622079 0.25431342 -0.7574778 0.22634602 -0.78148004 1.10445098 1.616211471.13267102 1.54285427 0.31067743 -0.71001952 0.28244724 -0.73366757 1.13269571 1.542844711.16659849 1.47419228 0.36804389 -0.66341668 0.3392681 -0.68662552 1.16662252 1.474182161.20633525 1.410143 0.42693918 -0.61778284 0.39735837 -0.6405009 1.20635835 1.41013207

1.2520587 1.35060624 0.48784747 -0.5731735 0.45722289 -0.59537747 1.25208064 1.350594331.30399274 1.29547882 0.5512143 -0.52959457 0.5193263 -0.55128534 1.30401327 1.295465791.36240389 1.24465919 0.61744756 -0.48700879 0.58409531 -0.50820839 1.3624228 1.244644951.42759756 1.19805146 0.68691587 -0.44534056 0.65191843 -0.46608988 1.42761465 1.198035961.49991385 1.1555691 0.75994417 -0.40447905 0.72314293 -0.42483641 1.49992894 1.155552321.57972288 1.11713834 0.83680606 -0.36427997 0.79806887 -0.38432033 1.57973583 1.117120291.66741907 1.08270149 0.91771262 -0.32456606 0.87693972 -0.34438089 1.6674298 1.08268221.76341422 1.05222027 1.00279695 -0.28512616 0.95992908 -0.30482401 1.7634227 1.0521998

1.86812869 1.0256793 1.09209387 -0.24571316 1.04712288 -0.26542079 1.86813499 1.025657721.98198032 1.00308984 1.1855138 -0.20604057 1.13849624 -0.22590475 1.98198462 1.003067252.10537043 0.98449395 1.28280984 -0.16577783 1.23388406 -0.18596778 2.10537302 0.984470472.23866605 0.96996921 1.38353697 -0.12454423 1.33294423 -0.14525478 2.23866745 0.969944992.38217776 0.95963409 1.48700192 -0.08190158 1.43511229 -0.10335692 2.38217867 0.95960932.53613186 0.95365409 1.59220272 -0.03734552 1.53954626 -0.05980363 2.5361333 0.953628942.70063603 0.95224888 1.69775666 0.00970419 1.6450604 -0.01405334 2.70063934 0.95222362.87563709 0.95570038 1.80181604 0.05991393 1.75004718 0.03451653 2.87564406 0.955675253.06086985 0.96436188 1.90197209 0.11404636 1.85238694 0.08661991 3.06088275 0.964337253.25579568 0.97866815 1.99514869 0.17296854 1.94934647 0.14307135 3.2558174 0.978644383.45953024 0.99914606 2.07749068 0.23765595 2.03746946 0.20479242 3.45956435 0.999123623.67076006 1.02642536 2.14425535 0.30918808 2.11246537 0.27281187 3.67081088 1.02640481

3.8876491 1.06124825 2.18972243 0.38872964 2.16910847 0.34825476 3.88772173 1.061230294.1077381 1.10447611 2.20714656 0.47748869 2.2011665 0.43231295 4.10783838 1.10446158

4.32784291 1.15709023 2.18878864 0.57663924 2.20138876 0.52618664 4.32797725 1.157080244.54396195 1.22018255 2.12607648 0.68719288 2.16159708 0.63098299 4.54413696 1.220178544.75120887 1.29493013 2.00996053 0.80980095 2.07293769 0.74755447 4.75143073 1.294933994.94379387 1.38254565 1.83154023 0.94446969 1.92636571 0.87625873 4.9440673 1.382559865.11508423 1.48419456 1.58303297 1.09017841 1.7134376 1.01662521 5.11541106 1.484222385.25778076 1.60086956 1.2591242 1.24441071 1.42747043 1.16692727 5.25815811 1.600915115.36424712 1.73321559 0.85865851 1.40264655 1.06507199 1.32368698 5.3646653 1.733283815.42701825 1.88130622 0.38649198 1.55791998 0.62793705 1.48118762 5.42745901 1.881402575.43948718 2.04438619 -0.14486286 1.70061479 0.12463872 1.63113233 5.43992288 2.044515815.39672269 2.22061459 -0.71435746 1.81872067 -0.42805327 1.76265028 5.39711755 2.220780835.29630911 2.4068659 -1.29293255 1.89875902 -1.00494221 1.86287457 5.29662333 2.407068295.13904164 2.5986612 -1.84592689 1.92745947 -1.57384915 1.91824865 5.13923842 2.598893164.92928443 2.79029827 -2.33736298 1.89401353 -2.09899715 1.91652432 4.9293387 2.79054559

4.6748349 2.97521643 -2.73538548 1.79242054 -2.54597815 1.84911933 4.67474089 2.975457524.38624386 3.14657126 -3.01748469 1.62323165 -2.88722741 1.71322543 4.38601815 3.146780064.07569067 3.2979262 -3.17396741 1.39405715 -3.10649194 1.51297246 4.07536895 3.298077313.75564577 3.42392046 -3.2086445 1.11857335 -3.20094969 1.25917674 3.75527398 3.42399498

3.4376082 3.52077266 -3.13669235 0.81429296 -3.18042478 0.96767585 3.43723151 3.520762573.13116056 3.58652791 -2.98060417 0.4997761 -3.06417071 0.65674649 3.13081444 3.58643722

2.8434656 3.62103096 -2.76560747 0.19205832 -2.8764296 0.34436483 2.84317148 3.62087372.57919461 3.62567741 -2.51576304 -0.09514364 -2.64211144 0.04599746 2.57896033 3.625473452.34078235 3.60303303 -2.25141085 -0.35225159 -2.38354682 -0.22669902 2.34060565 3.602803552.12886599 3.55641503 -1.98803941 -0.57379272 -2.11866815 -0.4662458 2.12873883 3.556178971.94277877 3.48950707 -1.73626962 -0.75780358 -1.86047754 -0.66899833 1.94269108 3.489279131.78100839 3.40604904 -1.50251108 -0.90497865 -1.61740599 -0.83439981 1.78095048 3.405839151.64157306 3.30961479 -1.28989702 -1.01779949 -1.39413663 -0.96410638 1.64153682 3.309428511.52230164 3.20347208 -1.09922852 -1.09978242 -1.19255948 -1.06116994 1.52228087 3.203311521.42102517 3.09050945 -0.92978483 -1.15490004 -1.01265448 -1.12937229 1.42101542 3.090374291.33569623 2.97321226 -0.77994957 -1.18717728 -0.8532098 -1.17273615 1.33569444 2.973100671.26445476 2.85367147 -0.64765737 -1.20043564 -0.71235567 -1.19519846 1.26445888 2.853580831.20565695 2.73361207 -0.5306907 -1.19815014 -0.58793272 -1.20041394 1.20566561 2.733539431.15788046 2.61443158 -0.426863 -1.18338549 -0.47772883 -1.19165419 1.15789272 2.614374021.11991556 2.49724211 -0.33412151 -1.1587836 -0.37961952 -1.17177131 1.11993077 2.497196891.09074891 2.38291199 -0.2505965 -1.12658199 -0.29164201 -1.14320224 1.09076657 2.38287666

1.06954424 2.27210458 -0.17461673 -1.08864875 -0.21202628 -1.1079963 1.06956394 2.272077031.0556226 2.16531318 -0.104705 -1.04652449 -0.13919959 -1.06785412 1.05564398 2.16529162

1.04844361 2.06289164 -0.039563 -1.00146564 -0.07177621 -1.02417068 1.04846636 2.062874551.04758862 1.96508064 0.02194868 -0.95448568 -0.00853938 -0.97807767 1.04761242 1.965066781.05274581 1.87203013 0.08083185 -0.90639254 0.05157946 -0.93048289 1.05277037 1.872018491.06369752 1.78381819 0.13797124 -0.85782165 0.10952172 -0.88210553 1.06372254 1.783807941.08030947 1.70046678 0.19415315 -0.80926431 0.16612127 -0.83350682 1.08033467 1.700457261.10252177 1.62195495 0.25008174 -0.76109177 0.22212195 -0.78511623 1.10254686 1.62194564

1.1303414 1.54822981 0.30639273 -0.71357537 0.27819257 -0.73725358 1.13036612 1.548220281.16383597 1.47921561 0.36366456 -0.66690319 0.33493929 -0.69014738 1.16386005 1.479205541.20312842 1.41482141 0.42242699 -0.62119358 0.39291556 -0.64394983 1.2031516 1.414810561.24839251 1.35494748 0.48316724 -0.5765061 0.45262939 -0.59874913 1.24841454 1.354935641.29984873 1.29949067 0.5463337 -0.53285015 0.51454836 -0.55457915 1.29986938 1.299477731.35776054 1.24834917 0.6123371 -0.49019156 0.57910202 -0.51142704 1.35777958 1.248335021.42243053 1.20142652 0.68154918 -0.44845749 0.64668182 -0.46923898 1.42244776 1.201411131.49419636 1.15863538 0.75429837 -0.40753968 0.71763833 -0.42792422 1.4942116 1.15861871.57342603 1.11990089 0.83086251 -0.36729635 0.79227545 -0.38735766 1.57343914 1.119882941.66051238 1.08516403 0.91145787 -0.32755273 0.87084135 -0.34738103 1.66052328 1.085144841.75586617 1.05438494 0.9962241 -0.2881003 0.95351544 -0.3078028 1.75587482 1.054364561.85990746 1.02754638 1.08520425 -0.24869475 1.04039103 -0.26839678 1.85991392 1.027524881.97305474 1.00465745 1.1783192 -0.20905272 1.13145253 -0.22889946 1.97305918 1.004634932.09571113 0.98575774 1.27533527 -0.16884715 1.22654662 -0.18900605 2.09571384 0.985734332.22824698 0.97092198 1.375824 -0.12770139 1.32534603 -0.1483652 2.22824844 0.970897812.37097801 0.96026532 1.47911284 -0.08518187 1.42730489 -0.10657242 2.37097893 0.96024056

2.524138 0.95394949 1.58422551 -0.04078954 1.53160432 -0.06316209 2.52413936 0.953924362.68784496 0.95218979 1.68981083 0.00604973 1.63708714 -0.01759837 2.68784808 0.952164522.86205953 0.95526315 1.79405944 0.05599548 1.74218066 0.03073486 2.86206614 0.9552383.04653451 0.96351712 1.89460852 0.10980275 1.84480731 0.08254428 3.04654687 0.963492433.24075433 0.97737994 1.98843624 0.16833053 1.94228397 0.13863656 3.24077527 0.977356093.44386352 0.99737115 2.07175015 0.23254612 2.03121284 0.19992507 3.44389655 0.99734863.65458418 1.02411238 2.13987808 0.30352157 2.10737014 0.26743069 3.65463357 1.024091663.87112316 1.05833705 2.18717595 0.38241628 2.16560377 0.34227194 3.87119395 1.058318864.09107186 1.10089741 2.20697599 0.47043719 2.19975887 0.42563723 4.09116983 1.10088258

4.3113043 1.15276586 2.19161051 0.56876464 2.20266009 0.51872905 4.31143584 1.152755494.52788341 1.21502664 2.13256071 0.67842838 2.16619291 0.62266633 4.52805513 1.215022124.73599111 1.28885174 2.02079509 0.80011572 2.08154108 0.7383281 4.73620924 1.288854934.92990489 1.37545357 1.84737269 0.93389373 1.93965077 0.86611976 4.93017432 1.375466915.10305123 1.47600495 1.60438414 1.0788347 1.73199739 1.00564713 5.10337406 1.476031625.24817189 1.59151709 1.28627313 1.2325529 1.45171603 1.15529516 5.24854566 1.591561135.35764058 1.72266841 0.89150579 1.39069673 1.09510543 1.31173597 5.3580562 1.722734735.42395743 1.86958437 0.4244213 1.54649631 0.66341134 1.46943672 5.42439734 1.86967845.44042329 2.03158154 -0.10309017 1.69053382 0.16463199 1.6203009 5.44086053 2.031708495.40195046 2.20690909 -0.6706276 1.8109568 -0.38510745 1.75364033 5.40234979 2.207072535.30590611 2.392543 -1.24967779 1.89434816 -0.96122001 1.85670279 5.30622779 2.39274285.15282507 2.58410484 -1.80587403 1.92734819 -1.5319599 1.91592155 5.1530318 2.584334964.94679992 2.77597501 -2.30315586 1.89887788 -2.06166358 1.91886872 4.94686544 2.776221834.69538593 2.96163981 -2.70916202 1.80250072 -2.5156263 1.8566042 4.69530281 2.961882254.40896077 3.13425283 -3.00052573 1.63823706 -2.8655886 1.72582749 4.40874395 3.134465

4.09962655 3.28732217 -3.1665241 1.41318024 -3.09433405 1.53013417 4.09931055 3.287478423.77987843 3.41538547 -3.209991 1.14061418 -3.19801774 1.27987797 3.77950877 3.415466213.46132682 3.51452994 -3.14536986 0.83785707 -3.18559669 0.99060024 3.4609491 3.514526243.15372242 3.58266041 -2.99476297 0.52348661 -3.07576053 0.68049182 3.15337305 3.582575422.86441812 3.61949215 -2.7833416 0.21472795 -2.89253409 0.36763852 2.86411964 3.619339272.59826772 3.62631587 -2.53536242 -0.07441085 -2.6609073 0.06775413 2.59802891 3.626114692.35786102 3.6056236 -2.27150239 -0.33403108 -2.40348702 -0.20719343 2.35768021 3.605395342.14395372 3.56069 -2.00762829 -0.55836563 -2.13857036 -0.44941477 2.14382317 3.560453871.95596072 3.49518295 -1.75471147 -0.74521419 -1.87952768 -0.65499866 1.9558704 3.4949541.79241927 3.41284695 -1.51944846 -0.89510177 -1.63510993 -0.82318539 1.79235941 3.412635461.65137205 3.31727423 -1.30518591 -1.0104032 -1.41025003 -0.95549401 1.65133441 3.317086061.53065453 3.21175894 -1.11287058 -1.09457914 -1.20701643 -1.05489642 1.53063277 3.211596421.42809263 3.09921959 -0.94187244 -1.15158387 -1.02550594 -1.12513857 1.42808217 3.099082561.34162689 2.98217201 -0.79062503 -1.18544896 -0.86457583 -1.17023823 1.34162459 2.982058741.26938173 2.86273615 -0.6570849 -1.20001743 -0.72239128 -1.1941471 1.26938546 2.86264403

1.2096966 2.74266335 -0.5390384 -1.19879352 -0.59680511 -1.20054572 1.20970495 2.742589461.16113261 2.62337441 -0.43429221 -1.18487386 -0.48560329 -1.19273653 1.16114462 2.62331581.12246447 2.50600152 -0.34078124 -1.16093191 -0.38665143 -1.17360355 1.12247948 2.505955451.09266468 2.39143001 -0.25662105 -1.12923467 -0.29797307 -1.14561432 1.09268217 2.391394011.07088429 2.28033747 -0.18012539 -1.0916767 -0.2177832 -1.11084615 1.07090385 2.28030941.05643314 2.17322891 -0.10980286 -1.04982182 -0.14449443 -1.07102453 1.05645441 2.173206951.04876101 2.07046773 -0.04434228 -1.00494644 -0.07670746 -1.02756601 1.04878366 2.070450351.04744058 1.97230233 0.017407 -0.95808102 -0.01319348 -0.98162072 1.04746431 1.972288271.05215246 1.87888884 0.07645644 -0.91004782 0.0471265 -0.93411212 1.05217696 1.878877061.06267225 1.79031014 0.13369896 -0.86149424 0.1052028 -0.88577249 1.06269724 1.790299811.07885973 1.70659196 0.18992767 -0.81292157 0.16187676 -0.83717402 1.07888492 1.706582411.10064965 1.62771619 0.24585243 -0.76470937 0.21789847 -0.78875532 1.10067477 1.62770688

1.1280442 1.553632 0.3021137 -0.71713593 0.27394194 -0.74084381 1.12806896 1.55362251.16110659 1.48426509 0.35929392 -0.67039508 0.3306177 -0.6936743 1.16113073 1.484255071.19995575 1.41952542 0.41792628 -0.62461003 0.38848285 -0.64740434 1.19997902 1.419514631.24476175 1.35931373 0.47850106 -0.57984446 0.44804867 -0.60212656 1.24478388 1.359301981.29574168 1.30352697 0.54146949 -0.5361113 0.50978565 -0.55787866 1.29576245 1.30351411

1.3531559 1.25206305 0.60724517 -0.49337949 0.5741262 -0.51465109 1.35317507 1.2520491.41730416 1.20482501 0.6762029 -0.45157896 0.6414647 -0.47239296 1.41732154 1.204809711.48852164 1.16172467 0.74867458 -0.41060404 0.71215497 -0.4310162 1.48853703 1.161708091.56717423 1.12268612 0.82494222 -0.37031547 0.78650471 -0.39039824 1.5671875 1.122668261.65365311 1.08764903 0.90522721 -0.33054096 0.86476669 -0.35038333 1.65366417 1.087629931.74836796 1.05657198 0.98967559 -0.2910746 0.94712607 -0.31078247 1.74837678 1.05655168

1.8517385 1.02943589 1.07833856 -0.25167489 1.03368338 -0.27137216 1.85174512 1.029414471.96418376 1.00624773 1.17114724 -0.21206155 1.12443218 -0.23189182 1.96418834 1.006225292.08610858 0.98704464 1.26788092 -0.17191102 1.21923071 -0.19203996 2.08611141 0.98702129

2.2178865 0.97189851 1.36812744 -0.13085063 1.31776629 -0.15146896 2.21788804 0.971874392.35983824 0.96092125 1.47123466 -0.08845139 1.41951131 -0.1097786 2.35983917 0.960896532.51220485 0.95427083 1.57625154 -0.04421952 1.52366965 -0.06650818 2.51220613 0.954245722.67511443 0.95215824 1.68185797 0.00241308 1.62911223 -0.02112751 2.67511736 0.952132972.84854114 0.95485544 1.78628236 0.05209915 1.73430068 0.02697312 2.84854742 0.954830283.03225549 0.96270433 1.88720729 0.10558618 1.83719897 0.07849318 3.03226732 0.96267963.22576448 0.97612667 1.98166452 0.16372509 1.93517341 0.13423152 3.22578466 0.97610275

3.42824109 0.99563475 2.06592373 0.22747499 2.0248841 0.19509332 3.42827307 0.995612083.63844242 1.0218421 2.13538271 0.29790042 2.1021734 0.26209153 3.63849041 1.021821233.85461767 1.05547344 2.18447327 0.37615522 2.16196241 0.33633797 3.85468665 1.05545503

4.0744083 1.09737187 2.20660533 0.46344482 2.19817355 0.41901729 4.07450401 1.097356764.29474596 1.14850088 2.19418343 0.56095515 2.20370723 0.51133371 4.29487473 1.148490134.51175767 1.20993686 2.13874406 0.66973308 2.17051393 0.61441709 4.51192612 1.209931844.72069344 1.28284647 2.03127717 0.7905003 2.0898175 0.72917164 4.72090787 1.2828494.91589839 1.36844141 1.86280673 0.92338255 1.95255952 0.8560487 4.91616382 1.368453875.09085909 1.46790114 1.62530418 1.06754245 1.7501408 0.99472802 5.0911779 1.467926675.23836006 1.58225443 1.31298102 1.22072198 1.47552303 1.14370332 5.23873021 1.582297015.35078788 1.71221194 0.92393572 1.37873531 1.12470627 1.29979387 5.35120083 1.712276395.42061171 1.8579495 0.46200036 1.53500725 0.6984977 1.45764857 5.4210506 1.85804125

5.4410449 2.01885404 -0.06155141 1.68031941 0.20432889 1.60937101 5.44148349 2.018978355.40684821 2.19326358 -0.62696811 1.80298211 -0.34231731 1.74445853 5.40725176 2.19342425.31517574 2.3782551 -1.2062954 1.88964906 -0.91747096 1.85028074 5.31550467 2.378452285.16630436 2.56955127 -1.76548512 1.92688416 -1.48983798 1.913272 5.16652087 2.56977948

4.9640545 2.76161711 -2.2684253 1.90335167 -2.02389655 1.92083844 4.96413121 2.761863324.71573562 2.94798915 -2.68227973 1.81218992 -2.48467727 1.86369473 4.71566349 2.94823284.43154591 3.12182296 -2.98284596 1.65289216 -2.84325293 1.73805554 4.43133819 3.12203835

4.1235025 3.27657524 -3.15837672 1.43202966 -3.08145727 1.5469815 4.12319247 3.27673653.80411782 3.40668504 -3.21071738 1.16248135 -3.19441911 1.30035455 3.80375056 3.406771953.48510806 3.50810974 -3.15355524 0.86135467 -3.19021034 1.01340497 3.48472952 3.508112453.17638891 3.57861383 -3.00857488 0.54722972 -3.08693095 0.7042217 3.17603643 3.57853462

2.8855029 3.61778171 -2.8008683 0.23751052 -2.9083631 0.39098704 2.88520012 3.617633322.61748774 3.62679702 -2.55487275 -0.05350859 -2.67955741 0.08965413 2.61724438 3.62659874

Er x Er y

5.96630396 1.435922146.03290066 1.011007546.07525491 0.556580276.09227114 0.072598536.08250018 0.440510646.04408608 0.981719935.97470534 1.549248435.87149932 2.140385295.73100165 2.751290945.54906487 3.376779075.32079398 4.010086455.04049982 4.642643324.70169292 5.26386608

4.2971481 5.861004373.81908314 6.419089453.25950754 6.92104592.61080791 7.34804309

1.8666362 7.68016961.02314499 7.89750340.08055591 7.981610730.95505808 7.917426452.07004464 7.695345263.24192519 7.313208544.43915323 6.777752155.62234334 6.105059546.74715727 5.31970259

7.7685684 4.452551158.64573698 3.537604199.34644757 2.608486819.85014662 1.6953330610.1490456 0.8226064210.2473226 0.008087710.1589148 0.737064479.90460244 1.407486089.50903774 2.002381

8.99817245 2.524209738.39730671 2.977503287.72979092 3.367905147.01629758 3.701464536.27453095 3.984156995.51923865 4.22158784.76240938 4.41883031

4.013569 4.580357013.28011417 4.710030192.56764524 4.811127761.88027634 4.886387641.22091174 4.938059670.59148505 4.96795870.00683812 4.977514680.57349123 4.967818221.10836747 4.939660651.61170587 4.893568692.08399884 4.829834082.52591729 4.748538822.93825026 4.649576683.32185607 4.532671753.67762281 4.397394744.00643599 4.243177894.30915183 4.069329044.58657469 3.875045894.83943742 3.659431015.06838363 3.421508615.27395092 3.160243995.45655421 2.874566665.61646837 2.563398365.75380939 2.225687315.86851322 1.860450095.96031153 1.466823096.02870352 1.044125116.07292277 0.591933446.09189846 0.11017561

6.0842099 0.400761066.04803388 0.939899665.98108449 1.505522075.88054601 2.094994325.74300055 2.70456955.56435456 3.329170975.33977146 3.962162685.06362299 4.595119024.72947894 5.217614744.33016522 5.817066523.85793202 6.378671763.30478753 6.88550538

0 4.3 8.59999999999999 12.9 17.2 21.5 25.80000000000010

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presadepredador

2.66306303 7.318850331.92627626 7.658844751.09033999 7.885520450.15510781 7.980269780.87385244 7.927701291.98351344 7.717724293.15208741 7.347557644.34869034 6.82323475.53444849 6.16014556.66526257 5.382281827.69598945 4.520139558.58530633 3.607603919.30021834 2.67844589.81922725 1.7631530110.1335867 0.8866673510.2466343 0.0672841110.1716676 0.683359459.92905628 1.359501659.54325678 1.960047639.04019911 2.487255768.44528583 2.945537277.78204636 3.340479377.07137019 3.678119956.33118836 3.96445247

5.5764666 4.205117244.81939245 4.40523114.06966629 4.56931281

3.3348338 4.701270192.62061981 4.804423871.93124056 4.88155079

1.2696829 4.934935780.63794623 4.966424740.03724785 4.977475040.53180565 4.969201451.06907699 4.942416611.57478258 4.897666152.04939849 4.835258622.49358442 4.755291062.90812232 4.657670793.29386677 4.54213413.65170481 4.408262773.98252312 4.255498994.28718099 4.08315951

4.5664874 3.890449854.82118124 3.676479185.05191345 3.440277025.25923021 3.18081234

5.4435563 2.89701646

5.6051778 2.58781065.74422339 2.252139625.86064344 1.889013285.95418597 1.497556876.02436882 1.077072966.07044691 0.627116346.09137391 0.147584476.08575729 0.361174286.05180626 0.898232565.98727211 1.46193402

5.8893816 2.049720485.75476492 2.657936415.57938202 3.28161355.35845448 3.914241615.08641481 4.547538024.75689244 5.171234924.36276525 5.772915643.89631773 6.337944223.34955995 6.849547772.71477275 7.289126431.98534657 7.636873871.15696323 7.872784090.22911854 7.97808618

0.7931146 7.937074461.89732618 7.739184553.06241707 7.38102164.25817189 6.867919775.44624444 6.214571436.58279858 5.444376157.62260294 4.587437848.52387791 3.677507549.25286752 2.748483699.78713613 1.8311947310.1169754 0.9510545310.2448704 0.1268729710.1834618 0.629229499.95269177 1.311086439.57680589 1.917296699.08170106 2.449909628.49287454 2.91321109

7.8340305 3.31272797.12627367 3.654483846.38776184 3.944488535.63367997 4.188416344.87641611 4.3914272

4.1258471 4.558086113.38966952 4.692346512.67373444 4.79757204

1.98236186 4.876578921.31862253 4.931687320.68458283 4.964774440.08151275 4.977325330.48994031 4.970479171.02960794 4.945070121.53768337 4.901662852.01462592 4.840582882.46108372 4.761942442.87783136 4.665662463.26571944 4.551491573.62563375 4.419022673.95846204 4.267708014.26506648 4.096873314.54626059 3.905731974.80278918 3.693399915.03531044 3.458912025.24437904 3.201241115.43042949 2.91932044

5.593759 2.61207095.73450884 2.278434235.85264361 1.917413665.94792756 1.528123766.01989697 1.109851256.06782788 0.662128946.09069819 0.184824886.08714325 0.321750846.05540432 0.856719525.99326953 1.418485625.89800771 2.004565615.76629668 2.611394115.59414952 3.234109855.37684565 3.866327255.10887827 4.499905254.78393669 5.12473254.39495168 5.728558573.93424379 6.296914563.39382803 6.81318148

2.7659396 7.258880192.04384835 7.614265541.22301391 7.859301970.30258446 7.975065820.71285175 7.945549171.81149406 7.759725722.97292925 7.413596064.16761605 6.911798985.35775093 6.26832556.49978459 5.50597148

7.54842556 4.654431088.46146399 3.747300929.20440202 2.81858826

9.7538746 1.899448710.0992083 1.0157614310.2420235 0.1868504910.1942876 0.574676049.97549793 1.262240139.60967393 1.87412679.12266767 2.412169128.54006323 2.880522217.88573497 3.284648157.18100091 3.630553716.44424553 3.924262865.69087405 4.171483034.93347667 4.377416834.18210857 4.546675363.44461917 4.683257862.72698759 4.790571182.03363915 4.871471171.36772994 4.928313580.73139447 4.963007240.12595639 4.977065150.44789521 4.97165110.98996019 4.947620981.50040802 4.90555871.97968083 4.845806882.42841486 4.768493032.84737702 4.673551863.23741369 4.560744383.59940928 4.429674743.93425239 4.279805274.24280798 4.110470794.52589397 3.92089268

4.784261 3.710193655.01857441 3.477414095.22939725 3.221530785.41717371 2.941479075.58221199 2.63617973

5.7246658 2.304571585.84451391 1.945651625.94153657 1.558524026.01528835 1.14246012

6.0650662 0.696971226.089872 0.22189659

6.08836866 0.282491246.05882916 0.815361395.99907809 1.37517814

5.90642594 1.959531495.77759774 2.56494502

5.6086593 3.186663155.39494756 3.81842354

5.1310163 4.452225544.81061496 5.078113284.42672798 5.68400209

3.9717137 6.255590453.43759505 6.77641492.81656617 7.228120352.10178295 7.59102841.28849139 7.845081880.37550219 7.971214780.63307079 7.953128851.72602794 7.779347762.88363875 7.445276994.07704081 6.954864215.26898766 6.32139616.41623999 5.567053797.47347424 4.721104378.39807727 3.816969759.15482914 2.88874711

9.7194444 1.9679052210.0802821 1.0807812710.2380864 0.24721271

0 4.3 8.59999999999999 12.9 17.2 21.5 25.80000000000010

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presadepredador

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