Rule: Q[2, 79]

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^{81}-\frac{17096138750966266379668309120329742009065012126632982839}{5382408543909420160566128500322245021819215876777827}\cdot t^{79}+\frac{25808418319195490621937188506357539332124795693665194448019}{5382408543909420160566128500322245021819215876777827}\cdot t^{77}-\frac{320216308638681006555941059629396740590942575945862198545741}{69901409661161300786573097406782402880769037360751}\cdot t^{75}+\frac{217508652256239522756095176236171100688886181966800904270248675}{69901409661161300786573097406782402880769037360751}\cdot t^{73}-\frac{111883021551293537495681680981497980538778808303481647802159137625}{69901409661161300786573097406782402880769037360751}\cdot t^{71}+\frac{45327847709936390141572991212193684988394235470425609949148465933325}{69901409661161300786573097406782402880769037360751}\cdot t^{69}-\frac{14852685972861492319949114952450711377821343631611938717021958353270575}{69901409661161300786573097406782402880769037360751}\cdot t^{67}+\frac{4011325420811219964089731238974346478431625732542955172978659128217589350}{69901409661161300786573097406782402880769037360751}\cdot t^{65}-\frac{905433188023946397285259303618607267513465049701139380969330999380449883500}{69901409661161300786573097406782402880769037360751}\cdot t^{63}+\frac{172607019048418238480468174791081896040269589349206217519055929946774611593500}{69901409661161300786573097406782402880769037360751}\cdot t^{61}-\frac{28012797613694575854105375443761192791394709247268840227335161250692879138108500}{69901409661161300786573097406782402880769037360751}\cdot t^{59}+\frac{3893959941072859282173380502427716378069017622626618333158398074729825506953973500}{69901409661161300786573097406782402880769037360751}\cdot t^{57}-\frac{465757220656876004893049923972357104892934617768302048522195027295859950991669140500}{69901409661161300786573097406782402880769037360751}\cdot t^{55}+\frac{48098723030894734497872611928510298576428294974459884872288775070873530037236324622500}{69901409661161300786573097406782402880769037360751}\cdot t^{53}-\frac{4298800743225035051300580989177561170558811604365479366476032129182129473542590652167500}{69901409661161300786573097406782402880769037360751}\cdot t^{51}+\frac{333008654163446195567541405451023107041745212548342879338918606585188349017007216249606250}{69901409661161300786573097406782402880769037360751}\cdot t^{49}-\frac{22375587643702903219403040568970832150952476908211909827897141281316628741096526242813356250}{69901409661161300786573097406782402880769037360751}\cdot t^{47}+\frac{1304095093462256693246826588705582136962897007715896596070768687975330630497703267410956381250}{69901409661161300786573097406782402880769037360751}\cdot t^{45}-\frac{65882511668363796932584677295204831876402976878933482179078814068972341399134657984590817843750}{69901409661161300786573097406782402880769037360751}\cdot t^{43}+\frac{2881238459699425557586434345269814047437291343778798493430329847298448944799670695041780650906250}{69901409661161300786573097406782402880769037360751}\cdot t^{41}-\frac{108860135448058336219365229463910787963670970990879772309986000775899679707204642728810210402718750}{69901409661161300786573097406782402880769037360751}\cdot t^{39}+\frac{3543824724095035892897003104984820630955673144743044877171530940112697584433867929187758894047093750}{69901409661161300786573097406782402880769037360751}\cdot t^{37}-\frac{99061481641208408164386802483514676768232489374950739460518955276978938104083658858485918846150031250}{69901409661161300786573097406782402880769037360751}\cdot t^{35}+\frac{2367756030983214235835093049930184477749490284646875626010219638210968956748479888872330401947616875000}{69901409661161300786573097406782402880769037360751}\cdot t^{33}-\frac{48145422961394246806801400648682707584291938186759819261143952535005156741757586727664009070423180437500}{69901409661161300786573097406782402880769037360751}\cdot t^{31}+\frac{827768650962180737039846953020021628242665704854869067882411955177404301515349398618851770155630846187500}{69901409661161300786573097406782402880769037360751}\cdot t^{29}-\frac{11946548943350341689072952198994142807151970584925369633649735610572273607287238896475085896183028760562500}{69901409661161300786573097406782402880769037360751}\cdot t^{27}+\frac{143482657801912497701175008059079074884139062871200376519240860685549863175629556407686094865680949419187500}{69901409661161300786573097406782402880769037360751}\cdot t^{25}-\frac{1419380600169136676749209690687740419286248465078232639285627216408839027713337797845196858220895346989062500}{69901409661161300786573097406782402880769037360751}\cdot t^{23}+\frac{11422594482433049447239907918928507044712936901878019736858520054655252043258891395674763330147395702070312500}{69901409661161300786573097406782402880769037360751}\cdot t^{21}-\frac{73669891603946442365093902056193054071725402165652202751797826538553288389948811167727643959764533398448437500}{69901409661161300786573097406782402880769037360751}\cdot t^{19}+\frac{373853652137973161597117395394189587996765271788109843572551513910354700238720268126580373060313108295368359375}{69901409661161300786573097406782402880769037360751}\cdot t^{17}-\frac{1459048474495776453502543582663068663287688421287216336420149737779481094773836800432842309837766388152054296875}{69901409661161300786573097406782402880769037360751}\cdot t^{15}+\frac{4253632598685805771092505010361888163983843741877184175735830716730783304254691263950115400957620216966021484375}{69901409661161300786573097406782402880769037360751}\cdot t^{13}-\frac{8917361594377398870326734985671363419700957173591834514976319133719432335772402578526414763956227656993658203125}{69901409661161300786573097406782402880769037360751}\cdot t^{11}+\frac{12764887531738792772040542222525594398696821798155113308533424515908535013865971749984683945335941070350279296875}{69901409661161300786573097406782402880769037360751}\cdot t^9-\frac{11584243637687463289701313940808589422232933105935601618667811156509344392726157410268768433691763133258619140625}{69901409661161300786573097406782402880769037360751}\cdot t^7+\frac{5940013967974246526695015607245518205359303532872446126713022477374586568857591730134598210016378705475876953125}{69901409661161300786573097406782402880769037360751}\cdot t^5-\frac{1404668995780067523246245569458022980704557849349920861256178636935036079527177232622033244626975410376083984375}{69901409661161300786573097406782402880769037360751}\cdot t^3+\frac{96469311521351541435109612202443481618004763308787242136253286359974900989507513159947328809115951835722656250}{69901409661161300786573097406782402880769037360751}\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.