Rule: Q[2, 3, 4, 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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^5-7\cdot t^3+6\cdot t$
• $P_3$:
  $t^9-\frac{71}{3}\cdot t^7+\frac{1399}{9}\cdot t^5-\frac{2965}{9}\cdot t^3+\frac{590}{3}\cdot t$
• $P_4$:
  $t^{35}-\frac{37416868408907001350164610342873279623358444517881629}{71397876628425751039742068469178540888139208279622}\cdot t^{33}+\frac{285252499918350706726367558808162738929490224006579802877}{2356129928738049784311488259482891849308593873227526}\cdot t^{31}-\frac{115291645452434364061420262756323262526795872317246292164891}{7068389786214149352934464778448675547925781619682578}\cdot t^{29}+\frac{10101069438667294302645992209165257753034683392387485586725453}{7068389786214149352934464778448675547925781619682578}\cdot t^{27}-\frac{22510821670623937393673385952975452739465997854670551611954275}{261792214304227753812387584386987983256510430358614}\cdot t^{25}+\frac{41654169958018244605753644410488153266830296616982979939614775}{11382270187140337122277721060303825358978714363418}\cdot t^{23}-\frac{115722757691397332829409919810727571839059406824677936608614825}{1034751835194576102025247369118529578088974033038}\cdot t^{21}+\frac{2553098965416784588549677699611940158616139779251690230917939075}{1034751835194576102025247369118529578088974033038}\cdot t^{19}-\frac{40572002583441250555776569734023110197151641437307831521283882725}{1034751835194576102025247369118529578088974033038}\cdot t^{17}+\frac{460079983914481425880632611416882647323499485613759282945905206875}{1034751835194576102025247369118529578088974033038}\cdot t^{15}-\frac{3659960693568904822830512102115998793048934013148169593435363789375}{1034751835194576102025247369118529578088974033038}\cdot t^{13}+\frac{19882985996759883716699056073130960983491945723343226788441814971625}{1034751835194576102025247369118529578088974033038}\cdot t^{11}-\frac{70788850608395094578385754739091455110911801838714017309714866569125}{1034751835194576102025247369118529578088974033038}\cdot t^9+\frac{154844383884378914024499689394540151792991296055544669295022843982375}{1034751835194576102025247369118529578088974033038}\cdot t^7-\frac{186938820123665265741407368919046665974526001454811946403784182591875}{1034751835194576102025247369118529578088974033038}\cdot t^5+\frac{102151000078898067830186167829334890717473523162678199600590778511875}{1034751835194576102025247369118529578088974033038}\cdot t^3-\frac{7956343795587733477005769760097282790008451887153514103373255459375}{517375917597288051012623684559264789044487016519}\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.