Rule: Q[24, 25]

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.

• $P_1$:
  $\frac{8061900920775}{4194304}\cdot t^{24}-\frac{11835556670925}{1048576}\cdot t^{22}+\frac{60755857577415}{2097152}\cdot t^{20}-\frac{44742685812825}{1048576}\cdot t^{18}+\frac{166966608033225}{4194304}\cdot t^{16}-\frac{12843585233325}{524288}\cdot t^{14}+\frac{10529425731825}{1048576}\cdot t^{12}-\frac{1418249180205}{524288}\cdot t^{10}+\frac{1933976154825}{4194304}\cdot t^8-\frac{48522699225}{1048576}\cdot t^6+\frac{5019589575}{2097152}\cdot t^4-\frac{50702925}{1048576}\cdot t^2+\frac{676039}{4194304}$
• $P_2$:
  $\frac{8061900920775}{4194304}\cdot t^{49}-\frac{1678190453373525}{71303168}\cdot t^{47}+\frac{1086332370560095295}{8030519296}\cdot t^{45}-\frac{1092548106856718691725}{2252560662528}\cdot t^{43}+\frac{1125471141071162287131691325}{925478063563603968}\cdot t^{41}-\frac{6308653546396022173471348435675}{2784763493262884339712}\cdot t^{39}+\frac{2053065243398550278479219422288938525}{631345218707038218054008832}\cdot t^{37}-\frac{237093063532066351148253151908309107815}{64397212308117898241508900864}\cdot t^{35}+\frac{88316258830325311233466162352075210421244075}{26457981060064087199913380973379584}\cdot t^{33}-\frac{2433317836137106693353805115447210305977733811675}{994476134104628845583144250646418423808}\cdot t^{31}+\frac{332416226093834242084786807529454649058567672118654175}{227981851255493098210153200011737127024590848}\cdot t^{29}-\frac{207499467138438778733202374609737231580088471792993025}{293154219956015805617530091350319650907685888}\cdot t^{27}+\frac{2323100349475153893259556320926517723127219331580821769039580155847}{8306801238383845727833379910373645299187410401630792712192}\cdot t^{25}-\frac{43146290574954088015981289440305430595088689454321928666702698775}{481553694978773665381645212195573640532603501543814070272}\cdot t^{23}+\frac{253048892282023600839119736315492024477871732513143537487163075}{10944402158608492395037391186263037284831897762359410688}\cdot t^{21}-\frac{49335745328774765389001373729239761989977338923041243052294275}{10368380992365940163719633755407087954051271564340494336}\cdot t^{19}+\frac{104388268295951824809387322624366586267771114624539533534425}{135534392057071113251237042554341019007206164239745024}\cdot t^{17}-\frac{3260776048676775938644701652869635647689001072469799528215}{33883598014267778312809260638585254751801541059936256}\cdot t^{15}+\frac{14374959514331672717593799078696828298308250271123182725}{1588293656918802108412934092433683816490697237184512}\cdot t^{13}-\frac{173336101277175499451236188053269655687188185242755225}{280029735655105605890985625112274832659516868263936}\cdot t^{11}+\frac{1988055154050765985670524576851014517838510719864205325}{67767196028535556625618521277170509503603082119872512}\cdot t^9-\frac{365001220603959349325906647161214409267126664423452225}{406603176171213339753711127663023057021618492719235072}\cdot t^7+\frac{537447056764837781130437785892578939555343888960105}{33883598014267778312809260638585254751801541059936256}\cdot t^5-\frac{98820603830647147424285468035548513189546436580525}{745439156313891122881803734048875604539633903318597632}\cdot t^3+\frac{13335249740942053629352474058875923316115360083075}{40253714440950120635617401638639282645140230779204272128}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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