Rule: Q[2, 4, 35]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^6-\frac{25}{14}\cdot t^4+\frac{45}{98}\cdot t^2-\frac{1}{98}$
• $P_3$:
  $\frac{3}{2}\cdot t^{41}-\frac{278074484073877457407598558951733167}{18059221705995355685115679767929350}\cdot t^{39}+\frac{20959821151084128936128475668493619066281}{286076131044672429407917483203768833350}\cdot t^{37}-\frac{4355726904159273474823523591887725430455663}{20311405304171742487962141307467587167850}\cdot t^{35}+\frac{125376118606874465724573379453854009157281}{290162932916739178399459161535251245255}\cdot t^{33}-\frac{12354689306043704051392935817706263941255858}{19440916505421524952763763822861833432085}\cdot t^{31}+\frac{50910268949956263619713537356908151148771726}{72119528971725011921542994826745511119025}\cdot t^{29}-\frac{6227745320530364602270515264029361677540914}{10302789853103573131648999260963644445575}\cdot t^{27}+\frac{1776090769121173641870419054878388444984116269}{4399291267275225727214122684431476178260525}\cdot t^{25}-\frac{15367638104761577534875346547611140597684447083}{72676291735386729013577306746807986464863873}\cdot t^{23}+\frac{274491024197562436381326454494161530378015827}{3159838771103770826677274206382955933254951}\cdot t^{21}-\frac{62891058953590121119012955166015389366158473}{2257027693645550590483767290273539952324965}\cdot t^{19}+\frac{826968799760042184021439378909219376021439612}{119622467763214181295639666384497617473223145}\cdot t^{17}-\frac{156321399776295945037465157684720109043940946}{119622467763214181295639666384497617473223145}\cdot t^{15}+\frac{4404723323680619667145807073589159750348702}{23924493552642836259127933276899523494644629}\cdot t^{13}-\frac{147448096612436079032193405284431949041108734}{7871158378819493129253090048099943229738082941}\cdot t^{11}+\frac{724688617667089820940185380629481876451432901}{550981086517364519047716303366996026081665805870}\cdot t^9-\frac{1410426730635422985495865649547705597610225689}{23692186720246674319051801044780829121511629652410}\cdot t^7+\frac{5271978558025595537478975097477105144654761}{3384598102892382045578828720682975588787375664630}\cdot t^5-\frac{13099991635643024201826001590340766334309}{676919620578476409115765744136595117757475132926}\cdot t^3+\frac{462225101452904384173502769173031099}{6386034156400720840714771171099953941108255971}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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