Rule: Q[2, 50]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{52}-\frac{8049204161305181715573889735897}{3136731024047862700526996136}\cdot t^{50}+\frac{4765126058686701823976988752962225}{6273462048095725401053992272}\cdot t^{48}-\frac{144136923148651368544502394670876175}{1045577008015954233508998712}\cdot t^{46}+\frac{35957598208624648183886552927537181375}{2091154016031908467017997424}\cdot t^{44}-\frac{13100120041879529600004569290939981694175}{8364616064127633868071989696}\cdot t^{42}+\frac{1807222486251823148956998007913334782693175}{16729232128255267736143979392}\cdot t^{40}-\frac{7433904627831144858485744239614780824023875}{1286864009865789825857229184}\cdot t^{38}+\frac{625895841286842455102028693203507898268641375}{2573728019731579651714458368}\cdot t^{36}-\frac{167590447752846455614094331178242740855331725625}{20589824157852637213715666944}\cdot t^{34}+\frac{527769197819744178538748073256360791644964758625}{2422332253865016142790078464}\cdot t^{32}-\frac{2832215901765081210923732811338206671361341727875}{605583063466254035697519616}\cdot t^{30}+\frac{97502809959797929495076420218049903744419248451875}{1211166126932508071395039232}\cdot t^{28}-\frac{5369797836257109139322357667305223125608025662063125}{4844664507730032285580156928}\cdot t^{26}+\frac{117683248951924290935899152973375132205406634614328125}{9689329015460064571160313856}\cdot t^{24}-\frac{1018536385686210072750983741478486922181768024791584375}{9689329015460064571160313856}\cdot t^{22}+\frac{13778960594649971907123850541502757942815415473208865625}{19378658030920129142320627712}\cdot t^{20}-\frac{1149191719050119679478598084671940508169409631441390140625}{310058528494722066277130043392}\cdot t^{18}+\frac{9064249171918055901722041027880892602340247974864894515625}{620117056989444132554260086784}\cdot t^{16}-\frac{13200582208279096622962102635868880345116601182859957109375}{310058528494722066277130043392}\cdot t^{14}+\frac{55005823781296903975004681338736187971116657681443604359375}{620117056989444132554260086784}\cdot t^{12}-\frac{313965133522378915126199858586833528052274617022639110046875}{2480468227957776530217040347136}\cdot t^{10}+\frac{577185084624226277006471700383165392793000172175352614921875}{4960936455915553060434080694272}\cdot t^8-\frac{311754897251827411277629755980878970924021931493586109609375}{4960936455915553060434080694272}\cdot t^6+\frac{170112339370785136975009917656416227266386044517663707421875}{9921872911831106120868161388544}\cdot t^4-\frac{139562753240811016225441188311791773797048046577762652484375}{79374983294648848966945291108352}\cdot t^2+\frac{4454525410987242344418186756670152669937134246868005609375}{158749966589297697933890582216704}$

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.