> > NwAn30:=proc(x) > NwAn30(x):=.7811453332+.208273466*x^2-.305952879*x^4+1.991207265*x^6-3.742578664*x^8-.787376029*x^10+10.78661085*x^12-12.44164914*x^14+4.51031982*x^16: > end: > polymake(16/9,4,10,NwAn30); > print(next1); > NwAn30:=proc(x) > NwAn30(x):=.7153884018+.296313196*x^2+.214162952*x^4-1.536024583*x^6+3.096039197*x^8-.57364606e-1*x^10-7.304440561*x^12+8.819441661*x^14-3.243515661*x^16: > end: > polymake(16/7,4,10,NwAn30); > print(end [.54312573410, .54463233589, .54948063230, .55783606296, .56975227642, .58484512136, .60257321893, .62363422300, .64776456295, .67484098248, .70487123419] [-.16762836815, -.12140559093, -.071258423903, -.032770770454, .015595721425, .096339439787, .13531664579, .17298292962, .20804313731, .23984956421, .27452083086] [.16762587606, .21572058063, .27208587989, .30741883823, .36313251779, .40901050997, .46237006577, .51349324877, .55785470637, .59915304364, .64152383266] -6 [.30395355225 10 , .025676301320, .059955033522, .086531924171, .12441726016, .12428140401, .15964216427, .19496276926, .22769086315, .25811002169, .29152083086] [.77053184717, .77266926138, .77954753386, .79140137362, .80830689179, .82971909335, .85486992475, .88474914672, .91898283194, .95739611683, 1.0000000000] 2 4 6 .77053184717 + .21416987108 x + .3055844938 x - 1.4131247428 x 8 10 12 + 2.4506929421 x - .1995777730 x - 4.6103364399 x 14 16 + 5.4155527584 x - 1.9334928708 x Errors -5 [0., .00003345432, .00004416131, .824046 10 , .00004845594, -5 .00007223659, .00005423285, .00002497137, .715230 10 , -5 -7 .117869 10 , .860 10 ] 2 3 -.16762836815 - .76726417 x + 24.67721294 x - 172.16502937 x 4 5 6 + 543.04014175 x - 762.44026600 x + 174.61361092 x 7 8 9 + 741.48064083 x - 803.72691162 x + 255.73011527 x 2 3 .16762587606 + .02898973 x + 8.85660430 x - 57.785466713 x 4 5 6 + 167.92382050 x - 206.15637936 x - 12.19481908 x 7 8 9 + 295.61277106 x - 281.86521876 x + 86.05367393 x 3 5 7 .221992380 x + 2.5664941573 x - 25.123032432 x + 100.14164556 x 9 11 13 - 195.30129855 x + 186.31688936 x - 62.023845135 x 15 17 - 21.18619045 x + 14.678864205 x [.54174074631, .54347019847, .54868169211, .55712219625, .56868148723, .58334873038, .60119442211, .62212053189, .64621260747, .67313050025, .70288823167] [-.17295476815, -.12299619093, -.074891323903, -.025994770454, .020668621425, .063904339787, .10395864579, .14225442962, .17964403731, .23892066421, .27107313086] [.17295357606, .22388768063, .27300427989, .32407003823, .37287481779, .42002820997, .46349606577, .50645804877, .55084470637, .59403114364, .63553483266] -6 [.30395355225 10 , .032328001320, .061439933522, .088373424171, .11433336016, .14286900401, .17200216427, .20180276926, .23170406315, .23892062169, .27107313086] [.77073526330, .77319575714, .78061015591, .79261847211, .80906389040, .82993099628, .85532008507, .88509168863, .91936751585, .95766363686, 1.0000000000] 2 4 6 .77073526330 + .25058497926 x - .10481477613 x + .24615911452 x 8 10 12 + .0179743912 x - 1.4518193108 x + 3.1631656720 x 14 16 - 2.8159383258 x + .9239529765 x Errors -5 -5 -5 [0., .00003512066, .353305 10 , .595360 10 , .456859 10 , -5 -5 .00001272906, .00001062611, .495377 10 , .139549 10 , -6 -7 .22449 10 , .159 10 ] 2 3 -.17295476815 + .734642750 x - 4.65674066 x + 32.428488859 x 4 5 6 - 105.06343529 x + 154.46650578 x - 38.87561859 x 7 8 9 - 167.33507418 x + 195.62278646 x - 66.87753560 x 2 3 .17295357606 + .5424807065 x - .5459073125 x + 2.4805371060 x 4 5 6 - 4.1779767532 x + 1.1302284479 x + .53962802577 x 7 8 9 + 6.3806321285 x - 9.6948815152 x + 3.8078376517 x 3 5 7 .3280672064 x - .6171086301 x + 3.2410716844 x - 7.0803819196 x 9 11 13 + 2.9363348310 x + 12.835076037 x - 18.866611073 x 15 17 + 6.303904633 x + 1.190720373 x [.54200036512, .54374648302, .54887136451, .55734093293, .56902370967, .58381271180, .60163470210, .62238088239, .64611632212, .67289377632, .70272048191] [-.17278126815, -.12219509093, -.074136023903, -.027672770454, .017861921425, .063926339787, .11261564579, .15727242962, .19515513731, .23092176421, .26508883086] [.17277707606, .22399448063, .27386707989, .32240483823, .36998811779, .41768730997, .46427706577, .50885654877, .55185580637, .59433754364, .63576633266] -6 [.40395355225 10 , .030838501320, .060854633522, .090083924171, .11802666016, .14393860401, .16565016427, .18948406926, .21779076315, .24789932169, .27796933086] [.77128869739, .77377349461, .78106641067, .79311895309, .80974402244, .83078937761, .85615079906, .88567346251, .91944996446, .95755537748, 1.0000000000] 2 4 6 .77128869739 + .24677139278 x - .057999709709 x + .15318606568 x 8 10 12 - .31836452429 x + .29655747854 x + .057345722203 x 14 16 - .27510045393 x + .12631532734 x Errors -5 -5 -5 [0., .00002273322, .936234 10 , .192574 10 , .651382 10 , -5 -5 -5 -6 .585092 10 , .336146 10 , .133467 10 , .35343 10 , -7 -8 .5593 10 , .399 10 ] 2 3 -.17278126815 + .583744138 x - 1.478003347 x + 9.917780182 x 4 5 6 - 33.193774705 x + 48.673365560 x - 3.539463757 x 7 8 9 - 73.309128695 x + 78.472888677 x - 25.689544676 x 2 3 .17277707606 + .5060837238 x + .1773248511 x - 1.5630844379 x 4 5 6 + 4.1942328717 x - 4.3172466632 x - .1784070485 x 7 8 9 + 3.1035996509 x - 1.5049016488 x + .0453871577 x 3 5 7 .3122553207 x - .2908275335 x + 2.6989410625 x - 13.889947264 x 9 11 13 + 31.398541503 x - 26.052665115 x - 9.6940350246 x 15 17 + 27.344104794 x - 11.548398409 x [.54244608378, .54416984626, .54925479153, .55758945260, .56916883229, .58393241563, .60176440707, .62260981039, .64645017270, .67328318545, .70310763115] [-.17144276815, -.12009509093, -.071611023903, -.024676770454, .020914421425, .065485139787, .10896564579, .15155842962, .19253213731, .23127636421, .26795883086] [.17144057606, .22350588063, .27363197989, .32316343823, .37199361779, .41929920997, .46424106577, .50856604877, .55197570637, .59443514364, .63584683266] -5 [.10039535522 10 , .030027901320, .059004633522, .087747124171, .11605936016, .14350080401, .16960316427, .19528376926, .22120676315, .24796842169, .27541883086] [.77149793253, .77394956640, .78118166721, .79303570022, .80950455816, .83050217315, .85586385414, .88551138234, .91941851298, .95758196273, 1.0000000000] 2 4 6 .77149793253 + .24464038552 x - .0859897714 x + .41804110016 x 8 10 12 - 1.2993475460 x + 2.2840213179 x - 2.2316800226 x 14 16 + 1.1240109087 x - .2251942898 x Errors -6 [0., .00001342371, .00001204967, .00001520533, .22997 10 , -5 -5 .00001137531, .00001043292, .494834 10 , .138272 10 , -6 -7 .21748 10 , .150 10 ] 2 3 -.17144276815 + .5396073413 x - .35523502304 x + 1.1773683735 x 4 5 6 - 2.5280621068 x + 2.1149533879 x + 1.7712836487 x 7 8 9 - 5.1376410403 x + 3.8421617596 x - .98503520184 x 2 3 .17144057606 + .5368299209 x - .1837541774 x + .0949520260 x 4 5 6 + 1.7448641298 x - 5.0840731464 x + 2.9896398247 x 7 8 9 + 5.2839986731 x - 7.7600629910 x + 2.8420141775 x 3 5 7 .3008838319 x - .1773671400 x + 1.3289220427 x - 5.3757831171 x 9 11 13 + 8.9053481640 x - .014761450 x - 18.243221200 x 15 17 + 21.081353656 x - 7.529955985 x [.54232593445, .54404438087, .54913291434, .55750259890, .56910842664, .58388440514, .60173971522, .62262886702, .64651287579, .67336980616, .70319446085] [-.17170526815, -.12106019093, -.072326023903, -.025418770454, .020381821425, .065034039787, .10861864579, .15116032962, .19219683731, .23144816421, .26903663086] [.17196217606, .22343348063, .27388567989, .32301883823, .37137881779, .41828930997, .46371506577, .50858154877, .55207520637, .59450464364, .63598283266] [.000074303953552, .030065101320, .059456033522, .088201924171, .11648426016, .14379600401, .17008116427, .19598516926, .22181656315, .24806032169, .27472183086] [.77123180662, .77367557789, .78091188841, .79281426396, .80931869963, .83033134879, .85572305916, .88542914042, .91939415309, .95758690327, 1.0000000000] 2 4 6 .77123180662 + .24401632336 x - .06333367280 x + .25200540060 x 8 10 12 - .72906760110 x + 1.2438626435 x - 1.1987724558 x 14 16 + .59986513202 x - .1198075668 x Errors -5 -5 -5 -6 [0., .969657 10 , .637824 10 , .862279 10 , .66427 10 , -5 -5 -5 -6 .732653 10 , .658308 10 , .310796 10 , .86838 10 , -6 -8 .13706 10 , .96 10 ] 2 3 -.17170526815 + .51238033298 x - .01073819264 x - .68970880553 x 4 5 6 + 2.4412927422 x - 3.7813290722 x + 1.8629141348 x 7 8 9 + 1.8962321950 x - 2.7594951958 x + .9691946389 x 2 3 .17196217606 + .5187763111 x - .01388220648 x - .37171854705 x 4 5 6 + 1.4945321716 x - 2.6550621016 x + 1.0299549287 x 7 8 9 + 2.8225515439 x - 3.6599885628 x + 1.2988593309 x 3 5 7 .3016875943 x - .1369718116 x + .8327336168 x - 3.2713886797 x 9 11 13 + 5.5106945822 x - .3521762703 x - 10.693617091 x 15 17 + 12.652558553 x - 4.568798657 x next1 [.35345178045, .35473929745, .35846024382, .36456193439, .37327554633, .38466246809, .39875079165, .41558448915, .43552897896, .45862899058, .48455910290] [-.22853048394, -.19311919500, -.16230017449, -.12801543026, -.091685772010, -.052182662392, -.014080707817, .019823397795, .052364705620, .11025979705, .13841395437] [.22852839185, .26476507437, .29442839565, .32969260281, .36374322439, .39639728722, .42587985905, .45637472927, .49236688398, .53053626786, .56920614837] -6 [-.39604644775 10 , .012021892296, .022765690895, .035435332817, .047985220909, .059607795815, .072913733894, .090666354253, .11171152203, .11025982887, .13841395437] [.72942965747, .73208674716, .73976578228, .75235803477, .77034059230, .79384014414, .82291466462, .85765490043, .89881497707, .94648720421, 1.0000000000] 2 4 6 .72942965747 + .26202582652 x - .1516470366 x + 1.1503171377 x 8 10 12 - 3.6926831693 x + 6.0856687319 x - 5.0423321888 x 14 16 + 1.7777200336 x - .11849896420 x Errors [0., .00005088213, .00003295717, .00005525043, .00001905111, -5 -5 .00001411517, .00001845110, .940509 10 , .266689 10 , -6 -7 .41659 10 , .283 10 ] 2 3 -.22853048394 + .609473880 x - 4.877995354 x + 32.359783769 x 4 5 6 - 103.12272752 x + 154.42073149 x - 43.703724427 x 7 8 9 - 167.02661848 x + 202.43221018 x - 70.724201813 x 2 3 .22852839185 + .5132835998 x - 2.540179959 x + 12.899780917 x 4 5 6 - 28.988449394 x + 25.227535432 x + 8.606527189 x 7 8 9 - 32.684217096 x + 22.545342137 x - 5.2389555944 x 3 5 7 .11520372532 x + .01687097965 x + .2755173148 x - 1.7234824180 x 9 11 13 + .875234220 x + 12.780624109 x - 29.215861987 x 15 17 + 22.876681846 x - 5.8623739864 x [.35539432015, .35654712329, .36006930197, .36615598697, .37499328642, .38668672913, .40125397409, .41872042295, .43898960828, .46214190348, .48852049478] [-.22233198394, -.19140339500, -.15839217449, -.12430643026, -.088219172010, -.052191662392, -.015104407817, .025019497795, .070538205620, .10839279705, .14149465437] [.22233079185, .25231227437, .28337139565, .31457460281, .35085302439, .38732798722, .42285745905, .45993742927, .49675538398, .53424626786, .57297164837] -6 [-.59604644775 10 , .011477892296, .023889690895, .037220332817, .052786420909, .068484795815, .084401333894, .098500554250, .10875682203, .12684382887, .15041165437] [.72749111644, .72985090104, .73706079032, .74952021641, .76761014211, .79154658456, .82136569167, .85711946054, .89861042263, .94600310206, 1.0000000000] 2 4 6 .72749111644 + .23777302947 x + .02455792203 x + .9732217178 x 8 10 12 - 6.0105525142 x + 16.689987844 x - 24.247993333 x 14 16 + 17.784587984 x - 5.1790738105 x Errors [0., .00002131624, .00002905177, .00002898720, .00001064370, -5 .00003588268, .00003010643, .00001397437, .391795 10 , -6 -7 .63070 10 , .435 10 ] 2 3 -.22233198394 + .155745417 x + 2.813796462 x - 17.484101332 x 4 5 6 + 46.33440519 x - 26.685985744 x - 118.20761717 x 7 8 9 + 266.77956422 x - 217.36209237 x + 64.020136502 x 2 3 .22233079185 + .2495734178 x + 1.079726881 x - 8.1829285832 x 4 5 6 + 28.916975900 x - 45.339724068 x + 16.434169509 x 7 8 9 + 37.862769520 x - 46.068298095 x + 15.398389540 x 3 5 7 .11456114679 x + .09012685036 x + .5476253173 x - 4.4024077166 x 9 11 13 + 12.350708086 x - 15.031500694 x + 2.5977700470 x 15 17 + 9.3169625582 x - 5.4334339855 x [.35453373470, .35567038194, .35929151455, .36550448643, .37441722864, .38606669932, .40048523357, .41783969384, .43830212865, .46194531643, .48806062811] [-.22439598394, -.19493749500, -.16197217449, -.12672543026, -.091136072010, -.052132062392, -.012046707817, .024472997795, .058377005620, .091987797050, .14480265437] [.22499869185, .25441767437, .28652639565, .32198660281, .35329172439, .38518078722, .42033185905, .45832442927, .49543038398, .53318826786, .57239064837] [.00011890395355, .012030392296, .025457690895, .040245332817, .053700320909, .066245095815, .079843733894, .097629554250, .11788102203, .13948182887, .14480265437] [.72641330663, .72874221245, .73616164439, .74889156260, .76715310983, .79102201055, .82056451700, .85612251793, .89804852800, .94649166481, 1.0000000000] 2 4 6 .72641330663 + .23672509317 x + .20076012207 x - .80017352595 x 8 10 12 + 1.8928525686 x - 2.4112580958 x + 1.4917904981 x 14 16 - .2544119800 x - .08269800214 x Errors -5 [0., .00005763964, .472408 10 , .00001943500, .00001013083, -5 -5 -5 -5 .399350 10 , .725671 10 , .407549 10 , .124369 10 , -6 -7 .20880 10 , .1524 10 ] 2 3 -.22439598394 + .2456560850 x + .70694981858 x - 2.7830316175 x 4 5 6 + 5.4416040063 x - 2.9179808040 x - 4.3790593888 x 7 8 9 + 6.5401212057 x - 3.1080221928 x + .6229550494 x 2 3 .22499869185 + .416329126 x - 2.677732620 x + 20.278049603 x 4 5 6 - 63.69340671 x + 78.216054720 x + 22.764505039 x 7 8 9 - 154.30234493 x + 142.61356979 x - 43.267652203 x 3 5 7 .1165514096 x + .3709673684 x - 2.6058094365 x + 7.4804809968 x 9 11 13 - 7.9891541376 x - 2.1395793081 x + 11.447647590 x 15 17 - 8.3902107646 x + 1.8539089561 x [.35422432641, .35537606349, .35898268228, .36521916344, .37407918703, .38572899308, .40026498983, .41772125208, .43817596800, .46162116776, .48775121458] [-.22421498394, -.19388949500, -.16131267449, -.12638043026, -.091934272010, -.055240662392, -.017822707817, .020250497795, .059181205620, .10316529705, .14424365437] [.22421779185, .25421167437, .28577139565, .32018360281, .35096342439, .38663528722, .42137285905, .45741942927, .49493038398, .53312876786, .57212064837] -6 [.40395355225 10 , .012194392296, .025276690895, .039594332817, .053257820909, .068478795815, .083783733894, .099629554250, .11570632203, .12786952887, .14424365437] [.72623976286, .72860108364, .73599546562, .74878165861, .76694670530, .79083143527, .82063350713, .85642278193, .89835956304, .94642751050, 1.0000000000] 2 4 6 .72623976286 + .23881516914 x + .1760821095 x - .77081000142 x 8 10 12 + 2.3543376759 x - 4.3247341604 x + 4.6042938987 x 14 16 - 2.6150325616 x + .61080806685 x Errors [0., .00004369142, .00003490623, .00005293050, .00001389625, -5 .00002041025, .00002352192, .00001204266, .351645 10 , -6 -7 .57099 10 , .4045 10 ] 2 3 -.22421498394 + .3287606438 x - .6991568708 x + 6.3720450552 x 4 5 6 - 22.575647601 x + 35.560572404 x - 11.584076130 x 7 8 9 - 35.487986314 x + 43.505234481 x - 15.051292515 x 2 3 .22421779185 + .28196741089 x + .14717400365 x + .51065929489 x 4 5 6 - 4.4067889893 x + 10.550984460 x - 9.2512562169 x 7 8 9 - 1.1843247031 x + 6.3761266359 x - 2.6766476185 x 3 5 7 .12014177176 x + .2199138507 x - 1.5316666509 x + 5.7582656523 x 9 11 13 - 9.1246217707 x - 1.3145468147 x + 22.768950916 x 15 17 - 26.495521090 x + 9.7433278189 x [.35418530132, .35534494286, .35898013616, .36523540281, .37413572465, .38578519252, .40029894881, .41772907065, .43811807985, .46145006569, .48770134233] [-.22506398394, -.19507749500, -.16223917449, -.12782843026, -.092238272010, -.055201662392, -.017203107817, .021644097795, .061907305620, .10528729705, .14415065437] [.22506079185, .25456167437, .28624339565, .31840260281, .35094292439, .38562728722, .42128465905, .45761292927, .49506258398, .53321566786, .57207164837] -6 [.40395355225 10 , .012410392296, .025806690895, .039507332817, .053405120909, .067975795815, .082996733894, .098249354250, .11318322203, .12604492887, .14415065437] [.72623400958, .72861177942, .73606550772, .74889152666, .76714105986, .79102753886, .82078705565, .85652639104, .89833273322, .94617345830, 1.0000000000] 2 4 6 .72623400958 + .24040666066 x + .17651558543 x - .79280293138 x 8 10 12 + 2.3506161135 x - 4.0637096265 x + 3.9845221722 x 14 16 - 2.0484069559 x + .42662493965 x Errors -5 [0., .00004317863, .00002207128, .00003684519, .541632 10 , -5 .00002071060, .00002103967, .00001035145, .295212 10 , -6 -7 .47078 10 , .3275 10 ] 2 3 -.22506398394 + .28727050600 x + .0740102270 x + .93071545940 x 4 5 6 - 4.8403044280 x + 9.7189777205 x - 5.8216004939 x 7 8 9 - 7.1607288427 x + 11.775884347 x - 4.5950109010 x 2 3 .22506079185 + .2487284611 x + .7743028950 x - 4.1437588601 x 4 5 6 + 11.191580639 x - 14.071252471 x + 3.7822249520 x 7 8 9 + 9.6362296683 x - 10.116495780 x + 3.0454507229 x 3 5 .12371326411 x + .15859141250 x - 1.0956652701 x 7 9 11 + 4.0709476795 x - 6.1621583764 x - 1.7384715437 x 13 15 17 + 16.713429639 x - 18.597601450 x + 6.6713653431 x endy > >