> > NwAn30:=proc(x) > NwAn30(x):=.7225748222+.286468948*x^2+.198042633*x^4-1.451165420*x^6+3.369284705*x^8-2.065328607*x^10-3.239899993*x^12+5.282025688*x^14-2.102002704*x^16: > end: > polymake(20/9,4,10,NwAn30); > NwAn30:=proc(x) > NwAn30(x):=.7752069925+.216496193*x^2-.251477185*x^4+1.645768923*x^6-3.160565869*x^8-.375661909*x^10+8.446208175*x^12-9.910094458*x^14+3.614119161*x^16: > end: > polymake(20/11,4,10,NwAn30); > print(endy); > > > [.37290639268, .37425329781, .37815894321, .38457242512, .39366771468, .40549698061, .42010504221, .43752252858, .45804838166, .48183764658, .50819630487] [-.22280145449, -.18677448589, -.15450131272, -.11888505511, -.081689293941, -.042316899043, -.0043862247420, .030360847597, .063932461006, .097733707340, .14954398750] [.22279445449, .25948163061, .29092110403, .32774020864, .36301253738, .39705314606, .42832789564, .46047171854, .49724073990, .53537874492, .57489406493] -5 [-.24039535522 10 , .013796409120, .026095712959, .039976312416, .053452794311, .066557842101, .081352128890, .099722452849, .12090202125, .14282599979, .14954398750] [.73378414819, .73643451206, .74411982060, .75673990825, .77463710560, .79791406731, .82665898627, .86093213270, .90132174766, .94813292022, 1.0000000000] 2 4 6 .73378414819 + .26177661312 x - .13250356430 x + .92770650298 x 8 10 12 - 2.8692191510 x + 4.6233871737 x - 3.7986475354 x 14 16 + 1.3754971046 x - .12178126956 x Errors [0., .00004494862, .00002412746, .00004425197, .00001656961, -5 -5 -5 .999400 10 , .00001405775, .728513 10 , .208322 10 , -6 -7 .32739 10 , .223 10 ] 2 3 -.22280145449 + .4050740716 x - .62621883145 x + 1.7308502826 x 4 5 6 - .0106119463 x - 4.1984492436 x + .11176639919 x 7 8 9 + 11.880776414 x - 13.897846155 x + 4.9769998573 x 2 3 .22279445449 + .5021992421 x - 2.3297960630 x + 12.330871782 x 4 5 6 - 28.898391277 x + 27.002740529 x + 6.5721448258 x 7 8 9 - 33.315699508 x + 24.472318760 x - 5.9842992422 x 3 5 .13391585017 x - .05076575168 x + .69517357761 x 7 9 11 - 3.6099119855 x + 6.9176545395 x + 2.8488352009 x 13 15 17 - 25.494820126 x + 29.694335616 x - 10.984872991 x [.37448223093, .37571254612, .37944407634, .38585564565, .39505432124, .40716464827, .42219070790, .44015353384, .46099377118, .48469313913, .51151558678] [-.21788795449, -.18528544289, -.15109131272, -.11564855211, -.079488373941, -.042740699043, -.0055057447420, .033873247597, .077606561006, .11918500734, .15427548750] [.21789405449, .24973958361, .28246810403, .31627790764, .35201215738, .38962654606, .42602339564, .46351031854, .50079593690, .53883834492, .57782806493] -5 [-.18039535522 10 , .012973386120, .026757712959, .041626312416, .057725774311, .074702442101, .091268628890, .10693505285, .11944431725, .13478719979, .15705088750] [.73210326451, .73450849951, .74180354645, .75433800186, .77232117935, .79599656158, .82537212709, .86048899626, .90123113175, .94756279507, 1.0000000000] 2 4 6 .73210326451 + .23864976596 x + .11238198903 x - .25744246008 x 8 10 12 + .37329514456 x - .21286785430 x - .17885988534 x 14 16 + .31210986402 x - .11936982504 x Errors -5 -5 -5 [0., .775287 10 , .997672 10 , .00001048555, .864998 10 , -5 -5 -5 -6 .565304 10 , .288571 10 , .109747 10 , .28772 10 , -7 -8 .4581 10 , .34 10 ] 2 3 -.21788795449 + .2703813057 x + 1.0246152000 x - 6.5699578907 x 4 5 6 + 20.481272402 x - 25.938455044 x - 8.3647285971 x 7 8 9 + 57.470216108 x - 55.477494021 x + 17.476317230 x 2 3 .21789405449 + .2869967955 x + .62342732361 x - 4.3920234314 x 4 5 6 + 15.001351792 x - 22.564976813 x + 6.7683766433 x 7 8 9 + 20.394799613 x - 23.355213766 x + 7.5972010750 x 3 5 .12920956102 x + .10591265029 x + .13632569018 x 7 9 11 - 2.0448556225 x + 5.9950165321 x - 6.8416924467 x 13 15 17 - .33473177364 x + 6.2892147762 x - 3.2773484172 x [.37375045383, .37497141853, .37879502107, .38529335743, .39456370209, .40662918013, .42156102790, .43943340960, .46028839015, .48415177035, .51102657805] [-.22048445449, -.18870578289, -.15412831272, -.11880255511, -.081516873941, -.043548749043, -.0045122747420, .034931247597, .074350261006, .11394030734, .15473548750] [.22047845449, .25180313361, .28521610403, .31805090864, .35320662738, .38757357606, .42413394564, .46180021854, .49989533690, .53831344492, .57736651493] -5 [-.24039535522 10 , .013557906120, .028134712959, .042648312416, .057897264311, .072868462101, .088381088890, .10438105285, .12101961725, .13811879979, .15473549750] [.73137185008, .73376108922, .74124328820, .75395952770, .77210015885, .79571043385, .82492975122, .85990323884, .90071321125, .94741015663, 1.0000000000] 2 4 6 .73137185008 + .24177960283 x + .14359086620 x - .59521191292 x 8 10 12 + 1.5502274515 x - 2.2787621144 x + 1.7912223722 x 14 16 - .6464174218 x + .06219929427 x Errors -5 -5 -6 [0., .00004233604, .485972 10 , .916098 10 , .27940 10 , -5 -5 -5 -5 .958734 10 , .892096 10 , .421299 10 , .115941 10 , -6 -7 .17849 10 , .1203 10 ] 2 3 -.22048445449 + .2813730370 x + .58526951818 x - 2.9208079384 x 4 5 6 + 8.3399813229 x - 11.699763912 x + 4.9168784758 x 7 8 9 + 6.2767044402 x - 8.0907069881 x + 2.6862947541 x 2 3 .22047845449 + .29065004434 x + .36701959605 x - 1.7554615518 x 4 5 6 + 4.7717418722 x - 6.7212209307 x + 3.5328368396 x 7 8 9 + 2.5097762898 x - 4.1579401342 x + 1.5194901472 x 3 5 .13570531699 x + .12762870964 x - .74325469546 x 7 9 11 + 2.3014105234 x - 3.1094968961 x - .21604755410 x 13 15 17 + 5.6307374271 x - 6.0148932720 x + 2.0429459322 x [.37356432779, .37479633146, .37860983625, .38511272373, .39435266437, .40640683589, .42134841668, .43922303925, .46009590621, .48399031778, .51081068808] [-.21988745449, -.18783798289, -.15379331272, -.11809805511, -.081709883941, -.043985199043, -.0055516747420, .033118049597, .071998561006, .11235375734, .15434448750] [.21987845449, .25160003361, .28473110403, .31931240864, .35327261738, .38881704606, .42486954564, .46172161754, .49962723690, .53808549492, .57717056493] -5 [-.34039535522 10 , .013657006120, .028026712959, .043002812416, .057847224311, .073249442101, .089033288890, .10544654785, .12245961725, .13881192979, .15434448750] [.73131658461, .73372844423, .74119403741, .75392456093, .77201333796, .79561145719, .82486217793, .85985483370, .90071706984, .94749450055, 1.0000000000] 2 4 6 .73131658461 + .2389091437 x + .2491500039 x - 1.7971527477 x 8 10 12 + 7.6966080853 x - 18.563213906 x + 24.983183846 x 14 16 - 17.457232465 x + 4.9184314849 x Errors -6 -5 [0., .42480 10 , .00001956287, .966112 10 , .00001776642, -5 -5 .00003053182, .00002266783, .994998 10 , .270217 10 , -6 -7 .42655 10 , .299 10 ] 2 3 -.21988745449 + .31598101116 x - .03826812154 x + 1.2447315072 x 4 5 6 - 4.9105800034 x + 8.2126272552 x - 3.1724773327 x 7 8 9 - 7.6934636743 x + 9.8496244793 x - 3.4339447819 x 2 3 .21987845449 + .30974851902 x + .030411894599 x + .67052271782 x 4 5 6 - 3.3016680581 x + 6.4339096067 x - 4.6748958755 x 7 8 9 - 1.3674579960 x + 3.6532500357 x - 1.3965316420 x 3 5 .13542160676 x + .15476447632 x - 1.0641552531 x 7 9 11 + 3.7837619278 x - 5.5273964736 x - 1.4145455824 x 13 15 17 + 14.102098675 x - 15.496118736 x + 5.4805138803 x [.37352390654, .37476081875, .37858014139, .38505810539, .39431805224, .40638259471, .42137305163, .43930281775, .45982651134, .48341583965, .51030423743] [-.22036345449, -.18829948289, -.15370431272, -.12027955511, -.081709543941, -.045174399043, -.0080678347420, .033871142597, .085352061006, .11746403734, .14730089850] [.22036045449, .25176863361, .28468210403, .31149790864, .35178623738, .38835304306, .42520956564, .46178271554, .49988510690, .53845040492, .57692996993] -5 [-.24039535522 10 , .013757406120, .028061712959, .040605312416, .057510954311, .074075142101, .090994178890, .10446654985, .11019261725, .13517279979, .16045505050] [.73196316852, .73438704064, .74187144378, .75456576126, .77271169494, .79635355716, .82572908615, .86086453047, .90108307479, .94730908386, 1.0000000000] 2 4 6 .73196316852 + .24294824171 x + .13015685343 x - .52963406635 x 8 10 12 + 1.2790175039 x - 1.1362894918 x - .82282758739 x 14 16 + 2.0234199175 x - .91875453562 x Errors -5 -5 [0., .00001810904, .00001283633, .777850 10 , .387290 10 , -5 -6 -6 -6 .104228 10 , .37398 10 , .51590 10 , .22375 10 , -7 -8 .4637 10 , .39 10 ] 2 3 -.22036345449 + .045198371 x + 5.5814340486 x - 40.014107920 x 4 5 6 + 133.99496855 x - 203.63470345 x + 57.744943526 x 7 8 9 + 212.71053632 x - 251.23976855 x + 85.179183409 x 2 3 .22036045449 + .111149570 x + 4.3640454222 x - 32.623981968 x 4 5 6 + 111.13694932 x - 177.11608641 x + 90.591618140 x 7 8 9 + 88.494622449 x - 129.16700852 x + 44.565292413 x 3 5 7 .1433314143 x - .2522098156 x + 3.0315003665 x - 12.572481057 x 9 11 13 + 22.148795141 x - 3.5780485391 x - 45.119108913 x 15 17 + 60.337082674 x - 23.978406178 x [.52490551383, .52641386554, .53120799956, .53942857172, .55110751678, .56602362721, .58371791375, .60442919809, .62822874378, .65502847691, .68483245119] [-.17472563229, -.12930045303, -.080885876994, -.042609972649, .0039128315600, .047031128016, .11901622988, .15513070564, .18925144498, .22254712793, .25574586355] [.17472258229, .22098836078, .27345353842, .30820912176, .36153390643, .40695877919, .45734073810, .50565125286, .54879509869, .59052459230, .63201900946] -5 [-.13839535522 10 , .024164240605, .055175831639, .080108332323, .11476229096, .14353838737, .14643215082, .17819557412, .20941690723, .24062494127, .27229398355] [.76647289847, .76867541050, .77567585858, .78767962993, .80473335605, .82651402723, .85235142221, .88259427111, .91734663375, .95647990362, 1.0000000000] 2 4 6 .76647289847 + .22228812453 x + .21885511937 x - .94364372853 x 8 10 12 + 1.6650339732 x - .82349578340 x - 1.2022143417 x 14 16 + 1.7154925457 x - .61878877696 x Errors [0., .00004132766, .00001748662, .00001216936, .00003218498, -5 -5 .00003348804, .00002180102, .938516 10 , .260330 10 , -6 -7 .42295 10 , .307 10 ] 2 3 -.17472563229 + .370117055 x + 1.179079292 x - 2.267628222 x 4 5 6 - 16.246088040 x + 62.653497696 x - 47.92777498 x 7 8 9 - 66.703936575 x + 114.38693778 x - 45.013786486 x 2 3 .17472258229 + .07895595 x + 7.6254350054 x - 50.762759673 x 4 5 6 + 150.66775395 x - 192.22993186 x + 7.1525888953 x 7 8 9 + 243.83852247 x - 239.73382729 x + 73.820620549 x 3 5 7 .29325804 x - 1.709824513 x + 26.346186481 x - 144.16901496 x 9 11 13 + 332.87295284 x - 261.15414187 x - 181.32089333 x 15 17 + 396.02746916 x - 166.91369666 x [.52388947091, .52555760352, .53061075188, .53884729356, .55023482114, .56473849331, .58233431708, .60298238493, .62674956883, .65355462171, .68311355498] [-.17797859229, -.12967525303, -.083295676994, -.037669472649, .0057228215600, .050078044016, .091679195880, .13179350564, .17121508498, .21186727593, .25557412455] [.17797359229, .22751726078, .27579663842, .32419662176, .37008948643, .41571866119, .45737147810, .50040885286, .54407164869, .58643553830, .62836900346] -5 [-.14039535522 10 , .028453940605, .055401031639, .081608232323, .10665224096, .13292670037, .15856941482, .18512747412, .21152536723, .23519056027, .25557412455] [.76691417860, .76935613367, .77675336408, .78881071768, .80548075372, .82671246851, .85247073907, .88269714535, .91748958026, .95672910740, 1.0000000000] 2 4 6 .76691417860 + .24811792039 x - .06998389769 x + .21366584211 x 8 10 12 - .35195434751 x + .08370460047 x + .56823080375 x 14 16 - .73538275105 x + .27668764471 x Errors -6 -5 [0., .00003243590, .00001365851, .63714 10 , .167805 10 , -6 -5 -5 -6 .71240 10 , .188570 10 , .125751 10 , .43374 10 , -7 -8 .7966 10 , .624 10 ] 2 3 -.17797859229 + .4749653020 x + .2339997508 x - 2.1903106965 x 4 5 6 + 6.5980749253 x - 7.8994126123 x - .7270303161 x 7 8 9 + 10.437649057 x - 8.9380136649 x + 2.4436296297 x 2 3 .17797359229 + .483708215 x + .3088133427 x - 2.9242037492 x 4 5 6 + 11.110573303 x - 18.760487968 x + 5.6961093499 x 7 8 9 + 22.342060814 x - 27.223096809 x + 9.416921470 x 3 5 7 .2869123832 x - .2913948239 x + 1.7149165749 x - 5.2522261729 x 9 11 13 + 7.2447698808 x + .4881561522 x - 13.461771599 x 15 17 + 14.366682062 x - 4.8404702607 x [.52397024355, .52566830584, .53068445803, .53897671492, .55044956015, .56504490378, .58272029018, .60338939699, .62700970474, .65360985208, .68322389418] [-.17804689229, -.12963825303, -.083268676994, -.037972772649, .0054992315600, .049048624016, .092727739880, .13608468564, .17795288498, .21646467793, .25213456455] [.17804289229, .22700726078, .27489963842, .32256052176, .36757640643, .41400118119, .45894172810, .50225120286, .54487014869, .58708444230, .62783110346] -5 [-.20039535522 10 , .028274940605, .055893031639, .083357032323, .10942769096, .13535429037, .16043203082, .18245362412, .20595456723, .23198436127, .25919186455] [.76690854640, .76939391365, .77673580001, .78887275388, .80566497284, .82702743360, .85289799602, .88315031446, .91772215533, .95665543557, 1.0000000000] 2 4 6 .76690854640 + .24762282202 x - .05011761181 x + .13894622246 x 8 10 12 - .27568031297 x + .29084569012 x - .12052079402 x 14 16 - .019752166111 x + .02174760265 x Errors -5 -6 -5 [0., .00001401457, .568720 10 , .75076 10 , .290020 10 , -5 -5 -6 -6 .235730 10 , .123012 10 , .45668 10 , .11626 10 , -7 -8 .1793 10 , .128 10 ] 2 3 -.17804689229 + .5070976298 x - .3769918866 x + 2.0272598482 x 4 5 6 - 6.7304850255 x + 10.710817657 x - 4.9858351774 x 7 8 9 - 6.1762688298 x + 8.0709436785 x - 2.6163593836 x 2 3 .17804289229 + .4858523705 x + .06804864621 x - .38020663570 x 4 5 6 - .3210121908 x + 3.4187123898 x - 4.9560708555 x 7 8 9 + .6210905884 x + 3.1651339027 x - 1.6517648233 x 3 5 7 .281476861 x - .0007088337 x - .8709528876 x + 5.2318207357 x 9 11 13 - 11.220906339 x + 1.275196008 x + 27.307848885 x 15 17 - 35.194076752 x + 13.449494125 x [.52422880074, .52591936618, .53092145481, .53914438826, .55055867228, .56511210998, .58272742435, .60337566758, .62702544602, .65365734553, .68325650631] [-.17822639229, -.12927145303, -.082176176994, -.036712422649, .0078677315600, .051467294016, .093467199880, .13479420564, .17559353498, .21533547593, .25483430455] [.17822509229, .22755746078, .27557353842, .32249959176, .36928100643, .41466264119, .45862827810, .50204072286, .54470609869, .58656653830, .62836899846] -5 [-.19039535522 10 , .027819640605, .054883731639, .081378232323, .10776059096, .13424769037, .15860661082, .18333722412, .20784836723, .23212555727, .25689531455] [.76725036044, .76972463683, .77704558962, .78908050385, .80578621235, .82708632082, .85286772825, .88308806723, .91770139066, .95667928442, 1.0000000000] 2 4 6 .76725036044 + .24699479113 x - .06817356954 x + .28865580207 x 8 10 12 - .83467020113 x + 1.4138343238 x - 1.3518093619 x 14 16 + .67009672417 x - .13217885764 x Errors -5 -6 [0., .00001086539, .803868 10 , .00001051087, .70968 10 , -5 -5 -5 -5 .874569 10 , .788061 10 , .372267 10 , .104015 10 , -6 -7 .16404 10 , .115 10 ] 2 3 -.17822639229 + .4788388842 x + .3319820881 x - 3.2304932844 x 4 5 6 + 11.249119910 x - 17.909642636 x + 8.1366294769 x 7 8 9 + 11.716914246 x - 15.765090620 x + 5.424805311 x 2 3 .17822509229 + .4945682538 x + .0810463553 x - 1.4085322928 x 4 5 6 + 5.8753499438 x - 10.797322296 x + 6.4670696076 x 7 8 9 + 5.5570553914 x - 9.1779045695 x + 3.3588160959 x 3 5 7 .2814472509 x - .2569711212 x + 2.2891492493 x - 9.7894477127 x 9 11 13 + 18.763776142 x - 9.965693026 x - 16.800837337 x 15 17 + 25.585309387 x - 9.849837459 x [.52421641284, .52590593463, .53090850167, .53914973296, .55058415683, .56515419378, .58279347763, .60345797987, .62711638475, .65375298694, .68336561086] [-.17793259229, -.12930025303, -.082476186994, -.037077468649, .0073842315600, .050979864016, .094147345880, .13479428564, .17559365498, .21533566893, .25419616455] [.17792859229, .22705326078, .27512320842, .32224062076, .36877740643, .41428692119, .45908118710, .50199668286, .54461804869, .58659528730, .62836902346] -5 [-.24039535522 10 , .027942940605, .055223571639, .081992234323, .10835569096, .13424774037, .16043203982, .18314372412, .20741676723, .23229497727, .25792456455] [.76710973527, .76958208940, .77690257343, .78896234225, .80569485511, .82701585330, .85282822016, .88306752678, .91768794739, .95666649968, 1.0000000000] 2 4 6 .76710973527 + .24675194995 x - .05918922621 x + .23154125769 x 8 10 12 - .65221428753 x + 1.0919413448 x - 1.0396347475 x 14 16 + .51665338642 x - .10295940587 x Errors -5 -5 -6 [0., .00001052842, .420632 10 , .755716 10 , .69538 10 , -5 -5 -5 -6 .484222 10 , .470509 10 , .227218 10 , .64033 10 , -6 -8 .10138 10 , .70 10 ] 2 3 -.17793259229 + .4781298311 x + .2520510040 x - 2.3992101523 x 4 5 6 + 7.5054424827 x - 9.7293608971 x + .4753793191 x 7 8 9 + 11.791349866 x - 11.314101329 x + 3.3724462187 x 2 3 .17792859229 + .4869370607 x + .1423514339 x - 1.4033862206 x 4 5 6 + 4.5211946216 x - 6.1561988951 x + .6677253224 x 7 8 9 + 7.1498785506 x - 7.1260287475 x + 2.1679664840 x 3 5 7 .278075720 x - .0099904265 x - .8751435749 x + 6.0997321208 x 9 11 13 - 15.019636184 x + 8.105914149 x + 21.763912067 x 15 17 - 33.709879687 x + 13.624940260 x endy > >