Rule: Q[2, 58]

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^{60}-\frac{7100056248952808251326215218100848843}{4063740125999662721849503071001624}\cdot t^{58}+\frac{5791527230493455445334986465437072379759}{4063740125999662721849503071001624}\cdot t^{56}-\frac{209544792278338545268124721947505750328545}{290267151857118765846393076500116}\cdot t^{54}+\frac{73958940429153327335161553593069567418585265}{290267151857118765846393076500116}\cdot t^{52}-\frac{38694393945555743669385549187155812489343638235}{580534303714237531692786153000232}\cdot t^{50}+\frac{7791197202028914847874454612828453310723387265775}{580534303714237531692786153000232}\cdot t^{48}-\frac{309486498646990861776617058169250251882004349502425}{145133575928559382923196538250058}\cdot t^{46}+\frac{39472189964977110901679716161182062178025142554078375}{145133575928559382923196538250058}\cdot t^{44}-\frac{16357207867757684885206703110642059944799959947622830125}{580534303714237531692786153000232}\cdot t^{42}+\frac{1387807392178377928695548102693462423100128802484999751625}{580534303714237531692786153000232}\cdot t^{40}-\frac{48475552991609043965651966940786450830151146441552072136375}{290267151857118765846393076500116}\cdot t^{38}+\frac{2797179923141512100472082555990429212104206947634333073925375}{290267151857118765846393076500116}\cdot t^{36}-\frac{266974650941614531758849853950902288190384202573488703195801875}{580534303714237531692786153000232}\cdot t^{34}+\frac{10532294825069122620301580737365197707016287119407151363621294375}{580534303714237531692786153000232}\cdot t^{32}-\frac{42848340510803620120034421618789046816868243358951098536619934375}{72566787964279691461598269125029}\cdot t^{30}+\frac{1146311884307804189570481540160240328341255467599587348441765976250}{72566787964279691461598269125029}\cdot t^{28}-\frac{200595174188110594726684845970611295397593555310949395128681924689375}{580534303714237531692786153000232}\cdot t^{26}+\frac{3562030571506248739281040164397943200815761152382733235697279955421875}{580534303714237531692786153000232}\cdot t^{24}-\frac{25437059406158723869170737412125921704884884354799234922288603790109375}{290267151857118765846393076500116}\cdot t^{22}+\frac{288779202391539686349420354323588703604933370659923458053398614870109375}{290267151857118765846393076500116}\cdot t^{20}-\frac{5134711432568548693512814418290797351286171631825142192698012631737765625}{580534303714237531692786153000232}\cdot t^{18}+\frac{35077993157232416753588844267452849679164746181689207530417388967529703125}{580534303714237531692786153000232}\cdot t^{16}-\frac{44930089905251287769789439235341900660264697963937453113966552287476015625}{145133575928559382923196538250058}\cdot t^{14}+\frac{167236295333582233454784506864121225615485993842446815538087891293511796875}{145133575928559382923196538250058}\cdot t^{12}-\frac{1733029757638995208262679637987150582562065683476421121481195510528429484375}{580534303714237531692786153000232}\cdot t^{10}+\frac{2942384255576588130997214221423582539157960278421045161138778077110840296875}{580534303714237531692786153000232}\cdot t^8-\frac{1496078334397705381994991141402369261385888464530449531019768188751825015625}{290267151857118765846393076500116}\cdot t^6+\frac{785612112686584460193819891583289376321955023546619889268345022084261640625}{290267151857118765846393076500116}\cdot t^4-\frac{318518767898765749373335667107812800294204251487497105917203917321792265625}{580534303714237531692786153000232}\cdot t^2+\frac{10398555386079770047503022980751344714023432533006199393077801080060703125}{580534303714237531692786153000232}$

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.