Rule: Q[6, 26]

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.

• $P_1$:
  $\frac{231}{16}\cdot t^6-\frac{315}{16}\cdot t^4+\frac{105}{16}\cdot t^2-\frac{5}{16}$
• $P_2$:
  $\frac{231}{16}\cdot t^{32}-\frac{40282378835340260521}{356010697845090320}\cdot t^{30}+\frac{133671797996842684354371}{332870002485159449200}\cdot t^{28}-\frac{57222910444361905503983009}{67040018500511113068880}\cdot t^{26}+\frac{75275093150691937022327717}{62164380791383032118416}\cdot t^{24}-\frac{1929751232511219421616844883}{1595552440312164491039344}\cdot t^{22}+\frac{851496233727507111766255597}{973908632398334169855184}\cdot t^{20}-\frac{1068092093388282144753921259}{2306625708311844086499120}\cdot t^{18}+\frac{23318576745724893974338699}{129653471186155942116944}\cdot t^{16}-\frac{1889343739816072844720216489}{37210546230426755387562928}\cdot t^{14}+\frac{3974416441115350565203921}{388960413558467826350832}\cdot t^{12}-\frac{7542527702868684349227547}{5315792318632393626794704}\cdot t^{10}+\frac{889035388481773976976994877}{6883951052628949746699141680}\cdot t^8-\frac{46062255938384169159181975}{6490582421050152618316333584}\cdot t^6+\frac{250855044726127919747}{1227185180761987638176656}\cdot t^4-\frac{456728925691008484691}{196684315789398564191404048}\cdot t^2+\frac{52501273120762806985}{12026667427239988675115559288}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.