Rule: Q[2, 3, 24]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^5-7\cdot t^3+6\cdot t$
• $P_3$:
  $t^{29}-\frac{293504355204580288329551}{829570297882516527293}\cdot t^{27}+\frac{44457440150973753657746208}{829570297882516527293}\cdot t^{25}-\frac{3795164987273268928693815150}{829570297882516527293}\cdot t^{23}+\frac{18395770014616372306411917825}{75415481625683320663}\cdot t^{21}-\frac{641917168208195722603803492975}{75415481625683320663}\cdot t^{19}+\frac{14945879575468433049267357963450}{75415481625683320663}\cdot t^{17}-\frac{232627175297949900309923422763100}{75415481625683320663}\cdot t^{15}+\frac{2391230172076488456036847814453625}{75415481625683320663}\cdot t^{13}-\frac{15818354765348533415077536257110875}{75415481625683320663}\cdot t^{11}+\frac{64594315567092858516905952141625500}{75415481625683320663}\cdot t^9-\frac{153039484173841278348092467652192250}{75415481625683320663}\cdot t^7+\frac{191887681368368217566498305930527375}{75415481625683320663}\cdot t^5-\frac{109350010828228492423578956203895625}{75415481625683320663}\cdot t^3+\frac{19552927818001434867300796120046250}{75415481625683320663}\cdot t$

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.