Rule: Q[2, 46]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{48}-\frac{49632621618851}{2786236243252}\cdot t^{46}+\frac{25136899752350745}{253547498135932}\cdot t^{44}-\frac{704882310752454795}{2051429757645268}\cdot t^{42}+\frac{7064028326526262725}{8498780424530396}\cdot t^{40}-\frac{16567231122815673123}{11113789785924364}\cdot t^{38}+\frac{1895849727693954323553}{922444552231722212}\cdot t^{36}-\frac{881224861348256641045}{395333379527880948}\cdot t^{34}+\frac{24264713574848435065}{12570833125117484}\cdot t^{32}-\frac{1955574634562342434975}{1451931225951069402}\cdot t^{30}+\frac{571579884081164271373}{750998909974691070}\cdot t^{28}-\frac{303538569705614079411}{870205086161149970}\cdot t^{26}+\frac{17595333323947838976855}{135926034458371625314}\cdot t^{24}-\frac{5263023652185488940145}{135926034458371625314}\cdot t^{22}+\frac{1095449697709308074775}{118273302710531154494}\cdot t^{20}-\frac{18852459400451935079469}{10762870546658335058954}\cdot t^{18}+\frac{144935657997170266679}{562239506168718995617}\cdot t^{16}-\frac{265581433838985182795805}{9191491446846218140346716}\cdot t^{14}+\frac{14276594736393792283205}{5959318630372822750334684}\cdot t^{12}-\frac{229340698680693757525}{1625268717374406204636732}\cdot t^{10}+\frac{33209591147824711593}{5959318630372822750334684}\cdot t^8-\frac{6098681427341973249}{45120555344251372252534036}\cdot t^6+\frac{9341382981595759855}{5369346085965913298051550284}\cdot t^4-\frac{25769608856510135205}{2894077540335627267649785603076}\cdot t^2+\frac{21926870591047875}{2894077540335627267649785603076}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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