Rule: Q[4, 28]

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.

• $P_1$:
  $t^4-6\cdot t^2+3$
• $P_2$:
  $t^{32}-\frac{54494384419174176}{116316141446875}\cdot t^{30}+\frac{22328160981487561887}{232632282893750}\cdot t^{28}-\frac{1320837963229142566803}{116316141446875}\cdot t^{26}+\frac{8033415449759354180799}{9305291315750}\cdot t^{24}-\frac{206649148475118718676034}{4652645657875}\cdot t^{22}+\frac{14763901212721415088365031}{9305291315750}\cdot t^{20}-\frac{184956380164691153116671573}{4652645657875}\cdot t^{18}+\frac{6491629672001638013726159283}{9305291315750}\cdot t^{16}-\frac{7886921290756699357072254348}{930529131575}\cdot t^{14}+\frac{129711774422462865819775245657}{1861058263150}\cdot t^{12}-\frac{348118902497937685088806344513}{930529131575}\cdot t^{10}+\frac{2306824801252222858384401825201}{1861058263150}\cdot t^8-\frac{2160645869909137844800006193754}{930529131575}\cdot t^6+\frac{788935122070762840529012013357}{372211652630}\cdot t^4-\frac{130704094941851621263658091507}{186105826315}\cdot t^2+\frac{2598735725097010082839189935}{74442330526}$

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.