Rule: Q[5, 32]

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.

• $P_1$:
  $32\cdot t^5-160\cdot t^3+120\cdot t$
• $P_2$:
  $32\cdot t^{37}-\frac{936738293469983213408}{95149754265757479}\cdot t^{35}+\frac{898083160582092409812280}{666048279860302353}\cdot t^{33}-\frac{24166355985504633127240640}{222016093286767451}\cdot t^{31}+\frac{44252887036686202107290200}{7655727354716119}\cdot t^{29}-\frac{233444927202359348100319640}{1093675336388017}\cdot t^{27}+\frac{6179601738381712516344744990}{1093675336388017}\cdot t^{25}-\frac{119175324405255405872849335500}{1093675336388017}\cdot t^{23}+\frac{6741552286776891652982423742375}{4374701345552068}\cdot t^{21}-\frac{69844908123217882268065894674375}{4374701345552068}\cdot t^{19}+\frac{2104047354354544776245230041647625}{17498805382208272}\cdot t^{17}-\frac{2837352316797528128975088988864875}{4374701345552068}\cdot t^{15}+\frac{85699221252513022694669549866070625}{34997610764416544}\cdot t^{13}-\frac{218956513983474245951939792242291875}{34997610764416544}\cdot t^{11}+\frac{1441774273826432756148539635281121875}{139990443057666176}\cdot t^9-\frac{710554838549698803571692201328033125}{69995221528833088}\cdot t^7+\frac{11942582162355816791843849902026575625}{2239847088922658816}\cdot t^5-\frac{2714455149602787787643100125575228125}{2239847088922658816}\cdot t^3+\frac{664838004747515679748392921831009375}{8959388355690635264}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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