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.

• $P_1$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_2$:
  $t^{37}-\frac{58546143341873950838}{95149754265757479}\cdot t^{35}+\frac{112260395072761551226535}{666048279860302353}\cdot t^{33}-\frac{6041588996376158281810160}{222016093286767451}\cdot t^{31}+\frac{22126443518343101053645100}{7655727354716119}\cdot t^{29}-\frac{233444927202359348100319640}{1093675336388017}\cdot t^{27}+\frac{12359203476763425032689489980}{1093675336388017}\cdot t^{25}-\frac{476701297621021623491397342000}{1093675336388017}\cdot t^{23}+\frac{13483104573553783305964847484750}{1093675336388017}\cdot t^{21}-\frac{279379632492871529072263578697500}{1093675336388017}\cdot t^{19}+\frac{4208094708709089552490460083295250}{1093675336388017}\cdot t^{17}-\frac{45397637068760450063601423821838000}{1093675336388017}\cdot t^{15}+\frac{342796885010052090778678199464282500}{1093675336388017}\cdot t^{13}-\frac{1751652111867793967615518337938335000}{1093675336388017}\cdot t^{11}+\frac{5767097095305731024594158541124487500}{1093675336388017}\cdot t^9-\frac{11368877416795180857147075221248530000}{1093675336388017}\cdot t^7+\frac{11942582162355816791843849902026575625}{1093675336388017}\cdot t^5-\frac{5428910299205575575286200251150456250}{1093675336388017}\cdot t^3+\frac{664838004747515679748392921831009375}{1093675336388017}\cdot t$

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.