Rule: Q[2, 48]

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^{50}-\frac{345392766243630923079587225881}{292195665583528468474853233}\cdot t^{48}+\frac{187725054971155862364498292114068}{292195665583528468474853233}\cdot t^{46}-\frac{2709728846713558261681640832468780}{12704159373196889933689271}\cdot t^{44}+\frac{615747111985337636037358422483076710}{12704159373196889933689271}\cdot t^{42}-\frac{101708785166686607576802913308630812790}{12704159373196889933689271}\cdot t^{40}+\frac{12660169294434749649636451814537856095340}{12704159373196889933689271}\cdot t^{38}-\frac{63947610162344127375525060180183877362180}{668639967010362628088909}\cdot t^{36}+\frac{4801953131760735519984023910577578084858075}{668639967010362628088909}\cdot t^{34}-\frac{284740659041764959570066341692527126577372275}{668639967010362628088909}\cdot t^{32}+\frac{13399914814374025957698641570768973538916790600}{668639967010362628088909}\cdot t^{30}-\frac{501305584456389255955824252564640154165838510600}{668639967010362628088909}\cdot t^{28}+\frac{14890221571301605790183688263984887901810796786300}{668639967010362628088909}\cdot t^{26}-\frac{349732930805673750443972814304590273684942012217500}{668639967010362628088909}\cdot t^{24}+\frac{6450717783053630735200396033902721753685249494185000}{668639967010362628088909}\cdot t^{22}-\frac{92503189925449276009382051421330222922757289511665000}{668639967010362628088909}\cdot t^{20}+\frac{1017275746153487584523051296556632553710295624652961875}{668639967010362628088909}\cdot t^{18}-\frac{8424685007480385147912216592364718391915635927194116875}{668639967010362628088909}\cdot t^{16}+\frac{51292588663862546900779810104798292002924074883410512500}{668639967010362628088909}\cdot t^{14}-\frac{222330292927274555063606002089755788777369956120155212500}{668639967010362628088909}\cdot t^{12}+\frac{656687071438016124772211351978128885484425937367330881250}{668639967010362628088909}\cdot t^{10}-\frac{1242180377605770466788263350842993574293280756153177631250}{668639967010362628088909}\cdot t^8+\frac{1370948948165553575173184842205450319607189368297186112500}{668639967010362628088909}\cdot t^6-\frac{757135468764509414156583771742173734659223449588553812500}{668639967010362628088909}\cdot t^4+\frac{155043449355262276343533487685415619567569979963213953125}{668639967010362628088909}\cdot t^2-\frac{4832121260775887965916841297411512218813363901171578125}{668639967010362628088909}$

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.