Rule: Q[1, 2, 14, 18]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $t$
• $P_2$:
  $t^3-\frac{3}{5}\cdot t$
• $P_3$:
  $t^{17}-\frac{2660449}{653790}\cdot t^{15}+\frac{276913}{40774}\cdot t^{13}-\frac{68094299}{11375946}\cdot t^{11}+\frac{17578561}{5884110}\cdot t^9-\frac{366222857}{436077930}\cdot t^7+\frac{90173083}{726796550}\cdot t^5-\frac{202159529}{24856442010}\cdot t^3+\frac{1267981}{8285480670}\cdot t$
• $P_4$:
  $t^{35}-\frac{45493194219318860710962096802101601694183499955596747291761953784623}{5266044295243930368366904751838377038416319794253532272813269891450}\cdot t^{33}+\frac{8676599689047613091834778249645188753332837520666119990071893838715507}{254525474270123301137733729672188223523455456722254059852641378086750}\cdot t^{31}-\frac{15633488572873226115287510208430596557709132454074235488506889349348837}{192125680578093072471708686268684013885447022170991774211348653136450}\cdot t^{29}+\frac{4251164380954212385793232833709899609256736301139641604617653128363186848441}{32411767939111006578625937881015155801107572508368873509259872395026991250}\cdot t^{27}-\frac{181175408917938605927512916688817295737843974212264641751391353356539939463}{1200435849596703947356516217815376140781761944754402722565180459075073750}\cdot t^{25}+\frac{229351435598921337608049688875346161249539599330203567598924747632177053162469}{1794651595147072401297991745633987330468734107407832070234944786317235256250}\cdot t^{23}-\frac{4380062252248397918564725820820341669498756493424016370922982958148301277264248071}{54140815237406208845088080461623655787233318108700250786316914103428833571168750}\cdot t^{21}+\frac{67324767670533742634175845668384814570298030115392692836321659643305273936404807801}{1748173209955075937617038202451327933203156407062976962202870321691300981428031250}\cdot t^{19}-\frac{213875664565132865540439930592005149192844369506161458414284789347709330926735558933}{15549540656968833339856813484961811616385970147033847716436057071885782413754593750}\cdot t^{17}+\frac{220452015936477321255861330509681653721047781435989239344810803534793411953130305119209}{60409965452323917525343720389076638129659494021226498378354081724276264677436596718750}\cdot t^{15}-\frac{31252311563683361512302732936311099639289369219112431880048784057219270390543596237}{44256384946757448736515546072583617677406222726173258885241085512290303792993843750}\cdot t^{13}+\frac{398522143663527737959253581154275021587029690063042192136517840081933108118922946277}{4115843800048442732495945784750276443998778713534113076327420952642998252748427468750}\cdot t^{11}-\frac{3224431441305436310339524565757653285154812175772656076436727075493823394929611901351}{358078410604214517727147283273274050627893748077467837640485622879940847989113189781250}\cdot t^9+\frac{3440403579280576452391342679005460062969809957068589107457300808306907088171138583}{6476870476045223834857961196157411768463194409669960887554003514624253064402564156250}\cdot t^7-\frac{17735150630130393813259847707160947979512954948733219877687919535964797764634385051}{994662251678373660353186897981316807299704855770743993445793396888724577747536638281250}\cdot t^5+\frac{166910549683047673135620295270599670913222045931746375398947160924047044413965839}{596797351007024196211912138788790084379822913462446396067476038133234746648521982968750}\cdot t^3-\frac{20785772712040510536590963891265135415594240262513719555219911090575868286720993}{16014062252021815931686309057499200597525248177908978294477273689908465701735339876328125}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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