> NwAn30:=proc(x) > NwAn30(x):=.5952863671+.3245455619*x^2+.272021527e-1*x^4+.1528599597*x^6-.3104218848*x^8+.6021124287*x^10-.7950463242*x^12+.5671084572*x^14-.1636467275*x^16: > end; > polymake(4,4,10,NwAn30); > print(next1); > NwAn30:=proc(x) > NwAn30(x):=.8578811900+.1163170132*x^2-.216783847e-1*x^4+.1839347230*x^6+.1245097267e-1*x^8-.4923350327*x^10+.2121104506*x^12+.3711746769*x^14-.2398555829*x^16: > end: > polymake(4/3,4,10,NwAn30); > print(endy); > [.085862090168, .086121970157, .086933324626, .088441844771, .090875997558, .094439555572, .099304476972, .10566084902, .11374656649, .12383944556, .13621893010] [-.30385865975, -.28876829551, -.26956723307, -.24424225108, -.21338533793, -.17849644987, -.14078267478, -.10071986469, -.058830797203, -.015673431786, .029046805571] [.30385285975, .31630571500, .32816903464, .34337979807, .36199403120, .38213762598, .40210548369, .42362824749, .44891794521, .47914380009, .51437052002] -6 [-.40000000000 10 , .0010455289200, .0022170431870, .0037660360550, .0057412047318, .0081243831680, .010891523451, .014182816734, .018230522072, .023328205956, .029046805571] [.63032421489, .63223202600, .63818827943, .64926251224, .66713192866, .69329244843, .72900643764, .77566935038, .83502760157, .90912067412, 1.0000000000] 2 4 6 .63032421489 + .1847421812 x + .27830553321 x + .28358274954 x 8 10 12 - 2.3195314935 x + 5.5267936319 x - 6.6589420239 x 14 16 + 4.0995098072 x - 1.0247845865 x Errors -5 [0., .00003229783, .00001633782, .00002660914, .454414 10 , -5 -5 .00001216346, .00001175812, .538240 10 , .142542 10 , -6 -7 .21212 10 , .140 10 ] 2 3 -.30385865975 + .14846117082 x - .11389065767 x + 1.6658822137 x 4 5 6 - 2.9729928593 x + 1.7148723839 x + .52915976561 x 7 8 9 - .32441438396 x - .78927896896 x + .47510686876 x 2 3 .30385285975 + .1400468694 x - .1836763134 x - .1320494929 x 4 5 6 + 5.1501228943 x - 12.509590960 x + 6.271243499 x 7 8 9 + 11.962815921 x - 16.007891660 x + 5.519498933 x 3 5 .01007431206 x + .02545943412 x + .04795201324 x 7 9 11 - .35275285829 x + .66464422272 x - .0109955554 x 13 15 17 - 1.4110016179 x + 1.6529623213 x - .5972954663 x [.088410290255, .088572918510, .089233368917, .090637720858, .093036586361, .096644141303, .10165300274, .10828555463, .11675064265, .12725858253, .14003493978] [-.28731695975, -.27782839551, -.26058223307, -.23646395108, -.20623853793, -.17143644987, -.13334347478, -.092741864690, -.050198797203, -.0066144317860, .038585405571] [.28731615975, .29522431500, .30769313464, .32419299807, .34453803120, .36711032598, .39244868369, .42143424749, .45175494521, .48363380009, .51928562002] -6 [-.20000000000 10 , .0011670289200, .0031537431870, .0058301360550, .0090844047318, .012734783168, .016871123451, .021570816734, .026678522072, .032558205956, .038585405571] [.63134450869, .63250584925, .63722217510, .64725075756, .66438123591, .69014305612, .72591171103, .77327526116, .83372508913, .90876307534, 1.0000000000] 2 4 6 .63134450869 + .11759750633 x + .82736969129 x - 2.3729217443 x 8 10 12 + 5.1854031741 x - 6.6287065277 x + 4.3802302286 x 14 16 - 1.0644331444 x - .0758837340 x Errors [0., .00009504974, .00001077198, .00004728971, .00001388415, -5 .00001993395, .00002315114, .00001184907, .347402 10 , -6 -7 .57108 10 , .414 10 ] 2 3 -.28731695975 + .0454150297 x + .5990274021 x - 1.4383695700 x 4 5 6 + 4.5574262352 x - 7.1398602453 x + 2.0158289434 x 7 8 9 + 7.4383959957 x - 8.6315201941 x + 2.8795597471 x 2 3 .28731615975 + .07420838154 x - .1153930256 x + 2.2803206013 x 4 5 6 - 6.6311294853 x + 7.5935843119 x + .6417742316 x 7 8 9 - 9.2477720879 x + 7.5694188562 x - 1.9330399825 x 3 5 7 .01071042069 x + .1449369222 x - .6704906277 x + 1.7163939216 x 9 11 13 - 1.1038542757 x - 4.2288797888 x + 10.253359285 x 15 17 - 8.8125304280 x + 2.728939988 x [.088060707719, .088200847599, .088855795610, .090280273398, .092680436802, .096291237082, .10135473954, .10808197971, .11666822126, .12731524538, .14014383775] [-.28621935975, -.27747899551, -.26006423307, -.23610575108, -.20728153793, -.17383364987, -.13651147478, -.095625864690, -.052330797203, -.0087654317860, .038851605571] [.28621895975, .29382251500, .30685893464, .32313469807, .34073403120, .36229092598, .38726468369, .41639324749, .44918794521, .48326330009, .51937002002] -6 [.50000000000 10 , .0011670289200, .0033503431870, .0062757360550, .0097554047318, .014005683168, .018771123451, .023639816734, .028655522072, .034836505956, .038851605571] [.62835947076, .62935944252, .63403284109, .64419723940, .66132366781, .68708862714, .72321938065, .77122177789, .83248912784, .90846124542, 1.0000000000] 2 4 6 .62835947076 + .1090075478 x + .97530169791 x - 3.4377745202 x 8 10 12 + 9.0989939163 x - 14.358263895 x + 12.756072398 x 14 16 - 5.7516818963 x + .9799851811 x Errors [0., .00018428568, .00004927118, .00011457412, .00002014592, -5 .00006323680, .00006527393, .00003207569, .909201 10 , -5 -7 .143892 10 , .996 10 ] 2 3 -.28621935975 + .0214491816 x + .84480902858 x - 2.4709206307 x 4 5 6 + 6.8796423499 x - 11.218462931 x + 7.5570772175 x 7 8 9 + 3.3257804405 x - 7.7442975873 x + 3.1299944954 x 2 3 .28621895975 + .02342835476 x + .7028128792 x - 2.2143316527 x 4 5 6 + 4.3294603798 x - 3.7618198342 x - 1.1009254591 x 7 8 9 + 6.2669148867 x - 5.9513448169 x + 1.9389545843 x 3 5 7 .0106210823 x + .1816472781 x - 1.0232437407 x + 3.5042464645 x 9 11 13 - 5.1075559645 x - 1.4747931949 x + 13.300244658 x 15 17 - 14.275874967 x + 4.923560019 x [.087660312321, .087799819183, .088458646757, .089900682517, .092297835867, .095900348965, .10097497991, .10772051439, .11632771042, .12701018675, .13982487878] [-.28654635975, -.27775559551, -.26006423307, -.23624755108, -.20831653793, -.17558024987, -.13862547478, -.097704664690, -.054466197203, -.011170431786, .038063405571] [.28654195975, .29424431500, .30766943464, .32396819807, .34005953120, .36154792598, .38684968369, .41549344749, .44841694521, .48267180009, .51902862002] -6 [.50000000000 10 , .0011759289200, .0034203431870, .0064147360550, .0099036047318, .014351483168, .019289123451, .024093516734, .029154422072, .035501205956, .038063405571] [.62692929245, .62792701806, .63263882314, .64295197894, .66009594768, .68586041198, .72215317325, .77039590758, .83195287874, .90835184595, 1.0000000000] 2 4 6 .62692929245 + .107754866 x + 1.0755741120 x - 4.5478112698 x 8 10 12 + 14.496330858 x - 27.981393264 x + 31.374255917 x 14 16 - 18.796898726 x + 4.645258148 x Errors [0., .00018297484, .00006489339, .00012628120, .00002514954, -5 .00005548074, .00005512729, .00002542563, .674335 10 , -6 -7 .99812 10 , .660 10 ] 2 3 -.28654635975 + .0215004465 x + .8165270228 x - 1.8809356775 x 4 5 6 + 3.6607423931 x - 3.9710207660 x + .1562320455 x 7 8 9 + 5.9401061473 x - 7.0492595695 x + 2.6307171406 x 2 3 .28654195975 + .0006493809 x + 1.088738195 x - 4.0621671699 x 4 5 6 + 7.1168937596 x - 1.2857433339 x - 14.036197475 x 7 8 9 + 22.390980545 x - 14.661562912 x + 3.680890627 x 3 5 7 .0107750888 x + .1898890807 x - 1.1332658513 x + 4.1655955687 x 9 11 13 - 6.7381304945 x - .288301437 x + 14.733763069 x 15 17 - 16.917679664 x + 6.015418050 x [.087496611585, .087637433495, .088298109040, .089746382821, .092145522491, .095746316314, .10081858854, .10756126811, .11618179541, .12685371102, .13965586535] [-.28658175975, -.27775349551, -.26021623307, -.23678335108, -.20895583793, -.17625534987, -.13910247478, -.098488864690, -.055918097203, -.0094657317860, .035154105571] [.28656935975, .29431061500, .30781313464, .32306129807, .33954323120, .36144362598, .38733668369, .41549224749, .44841694521, .48263130009, .51884922002] -6 [-.50000000000 10 , .0011874289200, .0034537431870, .0064096360550, .0099905047318, .014437683168, .019287123451, .024213816734, .029698622072, .033435905956, .040310805571] [.62651583853, .62752418794, .63225492763, .64262523164, .65980417120, .68558750522, .72190729897, .77018797485, .83191490110, .90833070779, 1.0000000000] 2 4 6 .62651583853 + .1109107314 x + 1.0042123812 x - 3.7942818613 x 8 10 12 + 10.712716124 x - 18.038270319 x + 17.326760717 x 14 16 - 8.7050009801 x + 1.7564372257 x Errors [0., .00019749021, .00008689291, .00015419200, .00002116060, .00009034111, .00009122012, .00004482621, .00001278028, -5 -6 .203888 10 , .1426 10 ] 2 3 -.28658175975 + .0587278579 x + .0741078363 x + 3.5102572629 x 4 5 6 - 14.988977449 x + 26.514500708 x - 13.265542589 x 7 8 9 - 18.852716288 x + 26.918589385 x - 9.647213443 x 2 3 .28656935975 - .0416097277 x + 1.974733218 x - 10.452916567 x 4 5 6 + 27.947629565 x - 33.293781166 x + 2.177710981 x 7 8 9 + 36.502855888 x - 35.204446361 x + 10.622101254 x 3 5 7 .0111077123 x + .1791224443 x - 1.0085965586 x + 3.6539129706 x 9 11 13 - 6.0092062227 x - .216932178 x + 14.054146221 x 15 17 - 16.968166029 x + 6.344922448 x next1 [.78544602004, .78690431593, .79133519224, .79878440071, .80913342037, .82275358320, .83992256833, .86046542517, .88445618361, .91158391477, .94156382438] [-.050700502342, .031253130949, .11453772747, .19369374943, .27159139740, .35278312057, .42965080719, .49982343356, .56284555350, .61967170500, .66922917959] [.050697310249, .13443183729, .22419550529, .31387796618, .40412574900, .49558451805, .57811386320, .65429267883, .72498968141, .78466956312, .83461144794] -5 [-.45960464478 10 , .076885403041, .15506656475, .22768501878, .30000686666, .37847921715, .45312917009, .52140766361, .58045459104, .62916366303, .66922912745] [.83419307295, .83574187490, .84044774422, .84835927212, .85935058189, .87381605144, .89205059347, .91386839945, .93934809379, .96815945044, 1.0000000000] 2 4 6 .83419307295 + .15756756614 x - .00990001305 x - .01621275568 x 8 10 12 + .76959656530 x - 2.8842007803 x + 4.6777013239 x 14 16 - 3.6055412598 x + 1.0767962350 x Errors -5 [0., .00002587491, .00003284715, .00004134701, .464904 10 , -5 .00002485493, .00002539149, .00001285462, .379785 10 , -6 -7 .62885 10 , .455 10 ] 2 3 -.050700502342 + .656109487 x + 3.065469645 x - 19.069535231 x 4 5 6 + 50.874261111 x - 50.886732602 x - 28.988006686 x 7 8 9 + 109.87309697 x - 89.946241545 x + 25.141517465 x 2 3 .050697310249 + .632419909 x + 3.806111188 x - 24.139765811 x 4 5 6 + 74.715417965 x - 106.77023611 x + 29.975780738 x 7 8 9 + 95.394969583 x - 107.68908159 x + 34.858301900 x 3 5 7 .785399965 x - .4541394048 x + 1.880091774 x - 1.761571677 x 9 11 13 + .552994937 x - 21.881719652 x + 65.591524528 x 15 17 - 68.740449570 x + 24.697098704 x [.78309197925, .78450180578, .78875664214, .79601506204, .80640249182, .81995996877, .83677680163, .85690629929, .88036599018, .90703326106, .93678442602] [-.071620502342, .013983730949, .10031782747, .18525984943, .26481849740, .34186502057, .41770070719, .48415273356, .53925415350, .59317800500, .63823217959] [.071625310249, .15527493729, .23929110529, .32642536618, .41180944900, .49564791805, .57408436320, .64860357883, .71430508141, .77326206312, .82296944794] -5 [.84039535522 10 , .067387703041, .13652996475, .21373101878, .28738046666, .36191961715, .43508627009, .50112186361, .55645369104, .60918636303, .65342632745] [.83593616365, .83744112732, .84198308622, .84973131484, .86081970347, .87529205866, .89324371583, .91473158124, .93977436615, .96824118321, 1.0000000000] 2 4 6 .83593616365 + .14907427028 x + .05973450671 x - .16383105469 x 8 10 12 + .29547683892 x - .24872230310 x - .0030979867541 x 14 16 + .13477973194 x - .05935016699 x Errors -5 -5 -5 -5 [0., .840842 10 , .186922 10 , .387190 10 , .565759 10 , -5 -5 -6 -7 .409688 10 , .184486 10 , .52159 10 , .8543 10 , -8 -10 .636 10 , .9 10 ] 2 3 -.071620502342 + .965442770 x - 2.423860283 x + 19.294026467 x 4 5 6 - 69.001244924 x + 108.96304525 x - 33.955694839 x 7 8 9 - 111.55391052 x + 134.01613836 x - 45.594105256 x 2 3 .071625310249 + .913607927 x - 1.566446291 x + 10.836221467 x 4 5 6 - 32.544082820 x + 43.514372107 x - 8.961373920 x 7 8 9 - 42.370927856 x + 45.332304520 x - 14.402333355 x 3 5 7 .652854586 x + 1.2046599290 x - 9.0348970172 x + 35.813587132 x 9 11 13 - 74.428535340 x + 70.767442962 x - 8.9727050910 x 15 17 - 30.241023725 x + 14.892043007 x [.78325028779, .78469722982, .78907798733, .79645934079, .80692535821, .82055290962, .83740069140, .85753848713, .88097553521, .90764888946, .93740760272] [-.069350902342, .014375030949, .098077727470, .18104244943, .26253829740, .34215442057, .41770070719, .48466313356, .54695675350, .60081600500, .64765737959] [.069350610249, .15377823729, .23947580529, .32546226618, .41075744900, .49434121805, .57390406320, .64800217883, .71515008141, .77322146312, .82391544794] -5 [.49039535522 10 , .072402903041, .14552756475, .21905951878, .29237176666, .36647911715, .43272757009, .49582166361, .55341309104, .60181736303, .64765732745] [.83554932296, .83709287992, .84176614851, .84964036827, .86080522056, .87534270817, .89331544674, .91479787943, .93979986150, .96825424375, 1.0000000000] 2 4 .83554932296 + .15442002619 x + .026246958932 x 6 8 10 - .023695985344 x - .09158840517 x + .43730774781 x 12 14 16 - .75642812078 x + .60023145641 x - .18204300212 x Errors -5 -6 -5 -6 [0., .324342 10 , .26140 10 , .171788 10 , .84392 10 , -6 -6 -6 -7 -7 .28027 10 , .53849 10 , .30152 10 , .9147 10 , .1533 10 , -8 .112 10 ] 2 3 -.069350902342 + .777585624 x + 1.1650900487 x - 7.9052411728 x 4 5 6 + 24.154028734 x - 32.547386995 x + 3.970490860 x 7 8 9 + 37.064967694 x - 37.603368464 x + 11.640838473 x 2 3 .069350610249 + .8171666093 x + .4681355277 x - 2.7159574621 x 4 5 6 + 8.3280249849 x - 12.038749407 x + 2.5759502469 x 7 8 9 + 12.952648420 x - 14.365480551 x + 4.7328272743 x 3 5 7 .7288855864 x - .1332003978 x + 2.4302767560 x - 12.711897210 x 9 11 13 + 26.075818031 x - 17.511336666 x - 13.975965370 x 15 17 + 25.755310108 x - 10.010233190 x [.78324269131, .78470089100, .78910144561, .79650094421, .80697745838, .82061005408, .83745098471, .85756774380, .88096208771, .90759282141, .93733119378] [-.069375902342, .014455730949, .097902227470, .18061724943, .26202469740, .34183042057, .41770070719, .48865623356, .54925415350, .60081600500, .64765727959] [.069374810249, .15398293729, .23959830529, .32550966618, .41075264900, .49416511805, .57370206320, .64785937883, .71472558141, .77292206312, .82391544794] -6 [.40395355225 10 , .073069703041, .14651696475, .22001131878, .29287276666, .36647911715, .43102307009, .49093296361, .54925419104, .60081606303, .64765732745] [.83560933052, .83716502364, .84185979390, .84975401384, .86093097481, .87547502902, .89344192348, .91490366424, .93986212510, .96827335677, 1.0000000000] 2 4 .83560933052 + .15543465538 x + .020930174152 x 6 8 10 - .017243394746 x - .043781695514 x + .21799287634 x 12 14 16 - .37831514371 x + .30094297098 x - .091569772102 x Errors -6 -6 -6 -5 [0., .72879 10 , .78372 10 , .37270 10 , .167097 10 , -5 -5 -6 -6 .185664 10 , .116980 10 , .47142 10 , .12214 10 , -7 -8 .1881 10 , .14 10 ] 2 3 -.069375902342 + .863764688 x - .4984204152 x + 3.5097384483 x 4 5 6 - 11.925542119 x + 18.722901159 x - 8.2570602239 x 7 8 9 - 12.780967750 x + 16.590733366 x - 5.508112893 x 2 3 .069374810249 + .8322920889 x + .2148528699 x - 1.0370863682 x 4 5 6 + 2.9160049121 x - 3.6022483023 x - 1.6059789733 x 7 8 9 + 8.4297500671 x - 7.8677464032 x + 2.4747016674 x 3 5 7 .7360356899 x - .18797200800 x + 2.4662823884 x - 11.648422877 x 9 11 13 + 22.063449662 x - 16.221498583 x - 1.3451346266 x 15 17 + 7.0827360028 x - 2.2978180238 x [.78327584229, .78473354778, .78913084072, .79652452587, .80699161791, .82061531560, .83745533342, .85757809735, .88098307629, .90760823012, .93734304822] [-.069168502342, .014809230949, .098380727470, .18119544943, .26256529740, .34256872057, .41770070719, .48570273356, .54832445350, .60081600500, .64765727959] [.069168310249, .15383193729, .23938750529, .32527446618, .41056494900, .49440361805, .57404046320, .64812577883, .71488608141, .77292206312, .82391544794] -5 [.14039535522 10 , .072953803041, .14624056475, .21961491878, .29241266666, .36647911715, .43202337009, .49482186361, .55045449104, .60081606303, .64765732745] [.83563412966, .83718927587, .84188050706, .84976842511, .86093519277, .87546957025, .89343526365, .91490313923, .93987263037, .96827754987, 1.0000000000] 2 4 .83563412966 + .15537983281 x + .019878470109 x 6 8 10 - .013083267067 x - .045080793298 x + .19864905850 x 12 14 16 - .33365090564 x + .25985531745 x - .077581841331 x Errors -6 -6 -6 -5 [0., .62646 10 , .31227 10 , .58256 10 , .136211 10 , -5 -6 -6 -7 .138892 10 , .87467 10 , .36438 10 , .9923 10 , -7 -8 .1617 10 , .12 10 ] 2 3 -.069168502342 + .759315171 x + 1.551579431 x - 10.246552432 x 4 5 6 + 28.247725873 x - 23.490287212 x - 44.187650129 x 7 8 9 + 115.43048750 x - 95.199736988 x + 27.851951089 x 2 3 .069168310249 + .8258330585 x + .3694826700 x - 2.2627711841 x 4 5 6 + 7.3422261429 x - 11.579624656 x + 5.1535816996 x 7 8 9 + 7.1774389389 x - 9.5454172110 x + 3.2739983512 x 3 5 7 .736611177 x - .2791718507 x + 3.6550779934 x - 17.821211388 x 9 11 13 + 35.503085535 x - 19.370400052 x - 32.455514658 x 15 17 + 50.212235003 x - 19.533054115 x endy 2 3 -.28654635975 + .0215004465 x + .8165270228 x - 1.8809356775 x 4 5 6 + 3.6607423931 x - 3.9710207660 x + .1562320455 x 7 8 9 + 5.9401061473 x - 7.0492595695 x + 2.6307171406 x 2 3 .28654195975 + .0006493809 x + 1.088738195 x - 4.0621671699 x 4 5 6 + 7.1168937596 x - 1.2857433339 x - 14.036197475 x 7 8 9 + 22.390980545 x - 14.661562912 x + 3.680890627 x 3 5 7 .0107750888 x + .1898890807 x - 1.1332658513 x + 4.1655955687 x 9 11 13 - 6.7381304945 x - .288301437 x + 14.733763069 x 15 17 - 16.917679664 x + 6.015418050 x > > A:=proc(x) > A(x):=-.28654635975+.215004465e-1*x+.8165270228*x^2-1.8809356775*x^3+3.6607423931*x^4-3.9710207660*x^5+.1562320455*x^6+5.9401061473*x^7-7.0492595695*x^8+2.6307171406*x^9: > end: > B:=proc(x) > B(x):=.28654195975+.6493809e-3*x+1.088738195*x^2-4.0621671699*x^3+7.1168937596*x^4-1.2857433339*x^5-14.036197475*x^6+22.390980545*x^7-14.661562912*x^8+3.680890627*x^9: > end: > C:=proc(x) > C(x):=.107750888e-1*x+.1898890807*x^3-1.1332658513*x^5+4.1655955687*x^7-6.7381304945*x^9-.288301437*x^11+14.733763069*x^13-16.917679664*x^15+6.015418050*x^17: > end: > AB:=proc(x) > if (x>=0) then > AB(x):=A(x); > else > AB(x):=-B(-x); > end if: > end; > AB := proc(x) if 0 <= x then AB(x) := A(x) else AB(x) := -B(-x) end if end proc > plot(AB,-1..1,-1..1,style=line,thickness=3); > plot(C,-1..1,-(1/5)..(1/5),style=line,thickness=3); >