Rule: Q[4, 22]

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.

• $P_1$:
  $t^4-6\cdot t^2+3$
• $P_2$:
  $t^{26}-\frac{12801418966983}{45536981123}\cdot t^{24}+\frac{1511551043600344}{45536981123}\cdot t^{22}-\frac{98344344701419740}{45536981123}\cdot t^{20}+\frac{204731552439352785}{2396683217}\cdot t^{18}-\frac{5128120827284581665}{2396683217}\cdot t^{16}+\frac{82266966751595388840}{2396683217}\cdot t^{14}-\frac{837321689237737223520}{2396683217}\cdot t^{12}+\frac{5254134430833607594275}{2396683217}\cdot t^{10}-\frac{19309118339877159768975}{2396683217}\cdot t^8+\frac{38233603066915272416400}{2396683217}\cdot t^6-\frac{35539223423792974785900}{2396683217}\cdot t^4+\frac{11966600238582800886075}{2396683217}\cdot t^2-\frac{666102408269320897875}{2396683217}$

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.