Rule: Q[2, 60]

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^{62}-\frac{357340567835956274473203762382806304174}{92763774066594766347405217572025637}\cdot t^{60}+\frac{161002979902282630609580538919383654777195}{92763774066594766347405217572025637}\cdot t^{58}-\frac{3113772412205937585530599846703134879190505}{6397501659765156299821049487725906}\cdot t^{56}+\frac{1219867959413374497949480239766122422281507425}{12795003319530312599642098975451812}\cdot t^{54}-\frac{355155179184479917889422283933450151580570675635}{25590006639060625199284197950903624}\cdot t^{52}+\frac{79821696793052304036920434437329770564822437697935}{51180013278121250398568395901807248}\cdot t^{50}-\frac{14201967322608545588548745221939235085309282314093625}{102360026556242500797136791803614496}\cdot t^{48}+\frac{2035354416607044253859734432845752205370223962377856125}{204720053112485001594273583607228992}\cdot t^{46}-\frac{237846615683522611669421015780778310326861498623878779375}{409440106224970003188547167214457984}\cdot t^{44}+\frac{531580441605917295118939657925449257479523931463469029625}{19043725870928837357606844986718976}\cdot t^{42}-\frac{42259314637969186470054254805061213268963559935158407738375}{38087451741857674715213689973437952}\cdot t^{40}+\frac{2789174592529161384622375128676342479979666716629407165719375}{76174903483715349430427379946875904}\cdot t^{38}-\frac{153118468824153763925379250584743491271240117872606387184338125}{152349806967430698860854759893751808}\cdot t^{36}+\frac{6993313099199991030012683537574906956399552410029090562934090625}{304699613934861397721709519787503616}\cdot t^{34}-\frac{265401436789108544358535449876479744529189401890579424476228914375}{609399227869722795443419039575007232}\cdot t^{32}+\frac{8346841873712260150032492598877397035560101853028196718860408020625}{1218798455739445590886838079150014464}\cdot t^{30}-\frac{216636120884031624109024589378765062703598207508239270961565180446875}{2437596911478891181773676158300028928}\cdot t^{28}+\frac{4613517046755122537840984525040778402972211160792368378809865386509375}{4875193822957782363547352316600057856}\cdot t^{26}-\frac{80012871334595463950134058882443916262098920435331916942827902351640625}{9750387645915564727094704633200115712}\cdot t^{24}+\frac{1119322409113954563854393941218194660553384569480751845571405564984515625}{19500775291831129454189409266400231424}\cdot t^{22}-\frac{12479139131915408977166316568445296043587844406493155610649646852680296875}{39001550583662258908378818532800462848}\cdot t^{20}+\frac{109213137958167744221250770857417529818491232920573989763755826054585234375}{78003101167324517816757637065600925696}\cdot t^{18}-\frac{736075632746253587215880171477134495555305025937842026656164005913145390625}{156006202334649035633515274131201851392}\cdot t^{16}+\frac{3728232391027826118712852162339848855068450555715850607028022366446336328125}{312012404669298071267030548262403702784}\cdot t^{14}-\frac{13744955290700758856900544620950251845791768573542667534021817920110082359375}{624024809338596142534061096524807405568}\cdot t^{12}+\frac{35333213413537508551972934095573382873187265007786775563787225851517808921875}{1248049618677192285068122193049614811136}\cdot t^{10}-\frac{59625644122929510265843373588916620998941093240454889235352292407157732578125}{2496099237354384570136244386099229622272}\cdot t^8+\frac{60362599223296506278398523685210937209236744801265152531059208395119116953125}{4992198474708769140272488772198459244544}\cdot t^6-\frac{31603217753619052909113969197330303492861584325211421979361788474007155859375}{9984396949417538280544977544396918489088}\cdot t^4+\frac{6396880285244534307259533504599955478947729095470932323014452452176746796875}{19968793898835076561089955088793836978176}\cdot t^2-\frac{208810226444040581699879779668833879333004558899986459682469264824260078125}{39937587797670153122179910177587673956352}$

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.