Rule: Q[1, 8, 38]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^9-\frac{36}{17}\cdot t^7+\frac{126}{85}\cdot t^5-\frac{84}{221}\cdot t^3+\frac{63}{2431}\cdot t$
• $P_3$:
  $t^{47}-\frac{5860691788069072109486545652454841138480751337689381}{505365939828257811816005420131611528102724169040609}\cdot t^{45}+\frac{164552535984253071797246071975014216976191669414001630263}{2614594917358129832398740041954247509227460609226430763}\cdot t^{43}-\frac{20341371810395420598036031397400800898728539269438886006059}{95789250154120574768790203355232886019878784138022872499}\cdot t^{41}+\frac{30542332394410207386366355787202234289840059485842294827826884823}{61182030912189122913447834736037572794186877610717279008198785}\cdot t^{39}-\frac{9535393839858448118847714451732794980473514256522784633529755507}{10981390163726252830618842132109307937418157519872332129676705}\cdot t^{37}+\frac{10495539238914105216303846533140043730742897229891339735181557261971}{9059646885074158585260544758990179048369979953894674006983281625}\cdot t^{35}-\frac{4044145622946028552387801692983497260982123625520497177348827721911}{3334559105598723916255561852468654137131135478828459844587123825}\cdot t^{33}+\frac{233927482379603779603214057354186213616576724810635935791440008794}{231430788365111826054882591911314216751036773212923410523642025}\cdot t^{31}-\frac{469755113602803465563664596886999829058433415843590561489019669574}{694292365095335478164647775733942650253110319638770231570926075}\cdot t^{29}+\frac{7284149467359586415352733509980548082937421682303715604854628371706}{19936109340594633015870600417503210385839310606770402363679448725}\cdot t^{27}-\frac{4117332995630881331139695445259820505013427641659874923373001016946}{25843104700770820576128556096763420870532439675443114175140026125}\cdot t^{25}+\frac{4878857931514843069398177569721491568745846709249476314376112142}{87181558026696744112240912133659733057217868784627373120954305}\cdot t^{23}-\frac{293671047510939449790683428779774589330859164232754210000856489106}{18650713871373195018603200202790953315578622661545143244143308995}\cdot t^{21}+\frac{1189406247766060521012706132793674742991882825198187394839088294006}{338215759338451575467224266880914733501986365061526428786650741905}\cdot t^{19}-\frac{2289230309833743495104459712501781347371926538073358561887812978938}{3720373352722967330139466935690062068521850015676790716653158160955}\cdot t^{17}+\frac{3534810426220897340613549864757415154214852922960353788695498791813}{42674870810645801728070356027033064903632985473939658220433284787425}\cdot t^{15}-\frac{1983041146944940016874749243342068574001793010524381417704901887191}{236947139834347641975857310131050255607790766964826864214405762200655}\cdot t^{13}+\frac{3992135518105176951377507063649960083815142468585074384530235395103}{6506932993912469860413927670521918557844715677418706963426373623510295}\cdot t^{11}-\frac{45989113206592235222123156687463853367180775741210777490435975330211}{1478256868344296561924945931694024952368540407079031700145682516832020655}\cdot t^9+\frac{167078303195242278885000030237719477980285957151072741687140159357}{164250763149366284658327325743780550263171156342114633349520279648002295}\cdot t^7-\frac{2251699399858900214545962835227445374398883970526644293394311747}{117321973678118774755948089816986107330836540244367595249657342605715925}\cdot t^5+\frac{12057963762576390963370276097677741553041659754107254160820573}{70393184206871264853568853890191664398501924146620557149794405563429555}\cdot t^3-\frac{129364244768020188572477914572422118139861295403658804969}{282703551031611505436019493534906282724907325890042398191945403869195}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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