Rule: Q[13, 26]

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.

• $P_1$:
  $8192\cdot t^{13}-319488\cdot t^{11}+4392960\cdot t^9-26357760\cdot t^7+69189120\cdot t^5-69189120\cdot t^3+17297280\cdot t$
• $P_2$:
  $8192\cdot t^{39}-\frac{4089071373408473088}{1727893965901}\cdot t^{37}+\frac{527968505096987535360}{1727893965901}\cdot t^{35}-\frac{686694808600263466398720}{29374197420317}\cdot t^{33}+\frac{490156019280583371555840}{413721090427}\cdot t^{31}-\frac{1237322480756641935889559040}{29374197420317}\cdot t^{29}+\frac{223229848912508597919418264320}{205619381942219}\cdot t^{27}-\frac{4250097263265930528068506032000}{205619381942219}\cdot t^{25}+\frac{60360830117079455755573363296000}{205619381942219}\cdot t^{23}-\frac{641302298272624220044817951232000}{205619381942219}\cdot t^{21}+\frac{38205534223908115617419180028000}{1546010390543}\cdot t^{19}-\frac{13162160460762023524643524266000}{90941787679}\cdot t^{17}+\frac{56114489110639728326736903367500}{90941787679}\cdot t^{15}-\frac{170198127402598137979760926623750}{90941787679}\cdot t^{13}+\frac{355315925375604072207365302175625}{90941787679}\cdot t^{11}-\frac{973691552747640765860869148083125}{181883575358}\cdot t^9+\frac{3263757841954301373168344757095625}{727534301432}\cdot t^7-\frac{2992249040222128651171112083303125}{1455068602864}\cdot t^5+\frac{1230875600141909941353488131903125}{2910137205728}\cdot t^3-\frac{144526707157778177345428818628125}{5820274411456}\cdot t$

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.