Rule: Q[2, 44]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{46}-\frac{326309379622347150068149127}{328554527712538859293821}\cdot t^{44}+\frac{147843161308428442702882534487}{328554527712538859293821}\cdot t^{42}-\frac{1931673809424984673454917269341}{15645453700597088537801}\cdot t^{40}+\frac{359350760788782222844235780635135}{15645453700597088537801}\cdot t^{38}-\frac{48088733100800756271685634741077765}{15645453700597088537801}\cdot t^{36}+\frac{4793538669643366861204530466109832645}{15645453700597088537801}\cdot t^{34}-\frac{363669080576741295726834409793149497195}{15645453700597088537801}\cdot t^{32}+\frac{21276557133296551217782327004031652072410}{15645453700597088537801}\cdot t^{30}-\frac{966938844757031868190877829042921707071950}{15645453700597088537801}\cdot t^{28}+\frac{34228306781098810160342052439279052718346350}{15645453700597088537801}\cdot t^{26}-\frac{942686881806735463954309086885371917776929250}{15645453700597088537801}\cdot t^{24}+\frac{20103906273226776255665777816398842847771566750}{15645453700597088537801}\cdot t^{22}-\frac{329193022707045008471411167119560338193972210250}{15645453700597088537801}\cdot t^{20}+\frac{4087104867257577648283517457191664055436970626250}{15645453700597088537801}\cdot t^{18}-\frac{37807219434465067852298410278302237058062904813750}{15645453700597088537801}\cdot t^{16}+\frac{254444769171771327690787068699371255630015319298125}{15645453700597088537801}\cdot t^{14}-\frac{1206207101484704284148798911079075984266756210404375}{15645453700597088537801}\cdot t^{12}+\frac{3851416510085025553983783077951054730002382119094375}{15645453700597088537801}\cdot t^{10}-\frac{7768595482246110156525718773028809910326295579040625}{15645453700597088537801}\cdot t^8+\frac{8981581027375602654009994990221907328379413226421875}{15645453700597088537801}\cdot t^6-\frac{5062234556861893634917131213002486273072866172990625}{15645453700597088537801}\cdot t^4+\frac{1011560207500850556576228390815270305758041309990625}{15645453700597088537801}\cdot t^2-\frac{27935260452304471699310794304065169594696878659375}{15645453700597088537801}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.