Rule: Q[2, 63]

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^{65}-\frac{554097580142599795513344307031038360892639}{274662905080377442409531016691131991427}\cdot t^{63}+\frac{524279254251641169810714793009925908396115727}{274662905080377442409531016691131991427}\cdot t^{61}-\frac{5074822214940336393026488702040428573805694705}{4502670575088154793598869126084131007}\cdot t^{59}+\frac{2098905894820062680368828557495628571726386797885}{4502670575088154793598869126084131007}\cdot t^{57}-\frac{647036462634047352783688042003753651665558149277435}{4502670575088154793598869126084131007}\cdot t^{55}+\frac{14042298681934440704857035190235309922811206735074505}{409333688644377708508988102371284637}\cdot t^{53}-\frac{204826479598271213291513640021561892059088520258444655}{31487206818798285269922161720868049}\cdot t^{51}+\frac{31398857035101812428430181579010314949764205292284245375}{31487206818798285269922161720868049}\cdot t^{49}-\frac{3940056534205942297833982565865669238074527215334839517625}{31487206818798285269922161720868049}\cdot t^{47}+\frac{408329273817375950785968820591198389918630066588191185505625}{31487206818798285269922161720868049}\cdot t^{45}-\frac{35166459265838058525847571323108614168126336707881759724038875}{31487206818798285269922161720868049}\cdot t^{43}+\frac{2527142112580449181442085646673955336579091548567680034631005375}{31487206818798285269922161720868049}\cdot t^{41}-\frac{151889745817953788940584313234836131903498041007011636386386925625}{31487206818798285269922161720868049}\cdot t^{39}+\frac{7641570068585522890667347792034748217805525556595562878998016610625}{31487206818798285269922161720868049}\cdot t^{37}-\frac{321626179711179658572631902564728307878427315972322723528832131606875}{31487206818798285269922161720868049}\cdot t^{35}+\frac{11303759736525715623486373130128294247333883240807653803871289612043125}{31487206818798285269922161720868049}\cdot t^{33}-\frac{330684720184831947195763683444531670587744726657430925905850760365679375}{31487206818798285269922161720868049}\cdot t^{31}+\frac{8015772338596076422505390537088061792113820637813358747205952600760009375}{31487206818798285269922161720868049}\cdot t^{29}-\frac{160025029757970262222954860504637359834138232446268032009931690535882128125}{31487206818798285269922161720868049}\cdot t^{27}+\frac{2610837352704828660168996698769952030844114790937085550839835281693920865625}{31487206818798285269922161720868049}\cdot t^{25}-\frac{34474791902246845976073365652621691379987194320602387712933848492615862609375}{31487206818798285269922161720868049}\cdot t^{23}+\frac{363996934378741320421923666640949639529600896577048005473791290480449269234375}{31487206818798285269922161720868049}\cdot t^{21}-\frac{3027047391093270501956120084265976692163621838178495477054656430092234125078125}{31487206818798285269922161720868049}\cdot t^{19}+\frac{19455842146375117666731090061158824465672248519982339757152322894841631104453125}{31487206818798285269922161720868049}\cdot t^{17}-\frac{94351205673786115558215045399258753598252081449609371867178789865501951728421875}{31487206818798285269922161720868049}\cdot t^{15}+\frac{334637544518677579076475418881169912340036490377079062416236116700841160619421875}{31487206818798285269922161720868049}\cdot t^{13}-\frac{832697302135965775373793557210962923762825438599903022176722792507337268969515625}{31487206818798285269922161720868049}\cdot t^{11}+\frac{1372375557352766585478951478725318729678353186407464018649753641666908875373203125}{31487206818798285269922161720868049}\cdot t^9-\frac{1376808454918676356016570120483418682242814846514334332128069227137882389399921875}{31487206818798285269922161720868049}\cdot t^7+\frac{734984800841673865524247228543060914178061464517720021187097201785928322421796875}{31487206818798285269922161720868049}\cdot t^5-\frac{163291510722669123173192055725073790576178237572711616091789014379141603956015625}{31487206818798285269922161720868049}\cdot t^3+\frac{8389795331820807403716033778802316151035592996968508021632903851756540991093750}{31487206818798285269922161720868049}\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.