Rule: Q[1, 44]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{45}+\frac{1897153827280726709379020905010070859857450416165080442881}{957899008650469802440348318757402617390661577667401905}\cdot t^{44}-\frac{1795216172858836002614213697671236574074849181151954523236616}{957899008650469802440348318757402617390661577667401905}\cdot t^{43}+\frac{25140486653042309224543337283195718633243504485537593547956744}{22276721131406274475356937645520991102108408782962835}\cdot t^{42}-\frac{10826347799342614363522778700798737449793649282182652967919198472}{22276721131406274475356937645520991102108408782962835}\cdot t^{41}+\frac{3552202119053978354703178130793884394658308179594972978315900768808}{22276721131406274475356937645520991102108408782962835}\cdot t^{40}-\frac{184777925758345053887466563326892440463786211761074028203592907270912}{4455344226281254895071387529104198220421681756592567}\cdot t^{39}+\frac{39134259179889561398878782238629557399450813806920426542049107650344192}{4455344226281254895071387529104198220421681756592567}\cdot t^{38}-\frac{6880464117274570198310666955424311071037729717156681947389942353401422464}{4455344226281254895071387529104198220421681756592567}\cdot t^{37}+\frac{1018717689508972564253929342029591805120967816135869625721543160247624257152}{4455344226281254895071387529104198220421681756592567}\cdot t^{36}-\frac{128412907698421721593201321361617497157345469390277441748957619558169925567488}{4455344226281254895071387529104198220421681756592567}\cdot t^{35}+\frac{13898182134062612145671764999576806641317413592404460955035815981509408234081280}{4455344226281254895071387529104198220421681756592567}\cdot t^{34}-\frac{1300098859407161758640848002189778854374754115745896710210393840798657868280570880}{4455344226281254895071387529104198220421681756592567}\cdot t^{33}+\frac{105661440203899373688752238304518022346732965873552942263715033699020719038639887360}{4455344226281254895071387529104198220421681756592567}\cdot t^{32}-\frac{7490896386289847198931972059613113156084465262643171763692150061263052104845196001280}{4455344226281254895071387529104198220421681756592567}\cdot t^{31}+\frac{464702002235605595996253435929392503149073152180049824960132871078443243700640056606720}{4455344226281254895071387529104198220421681756592567}\cdot t^{30}-\frac{25283657399413592706427417232225900068031337930005275064609362213048140893486131278643200}{4455344226281254895071387529104198220421681756592567}\cdot t^{29}+\frac{1208458979562090923918420687127596459548992270173611213332509506464256899148839360754483200}{4455344226281254895071387529104198220421681756592567}\cdot t^{28}-\frac{50791028610614835942950140027805416246019227051066609216965941455265419916459942021195366400}{4455344226281254895071387529104198220421681756592567}\cdot t^{27}+\frac{1878017378695837883608611079098150215952443709363295420663289515395994588232876214959289139200}{4455344226281254895071387529104198220421681756592567}\cdot t^{26}-\frac{61085495685561184058180001562133322104429249574869745993265519101504444700039470900160679116800}{4455344226281254895071387529104198220421681756592567}\cdot t^{25}+\frac{1746845356285804989594909186034201396121008981347026987146186088768579533268087075437422182400000}{4455344226281254895071387529104198220421681756592567}\cdot t^{24}-\frac{43872087472866164604621736939764944193430561536351013669837547582138259690059205638364227174400000}{4455344226281254895071387529104198220421681756592567}\cdot t^{23}+\frac{966197511021191548987447313020955610360936422268264195825587493141717143163831751392255855820800000}{4455344226281254895071387529104198220421681756592567}\cdot t^{22}-\frac{18620629705023636460049992641284236336171560238875844057772379736534128654702085757559712147046400000}{4455344226281254895071387529104198220421681756592567}\cdot t^{21}+\frac{313220713422555212673769233250433109110333122369827473335215062294689602428788078286425546398105600000}{4455344226281254895071387529104198220421681756592567}\cdot t^{20}-\frac{4584207982284515049111639943209419834624614186552077807558851477491033467517405597069196469574041600000}{4455344226281254895071387529104198220421681756592567}\cdot t^{19}+\frac{58156241061578267509731378536416934729403354187681648794714679401863962480797349520830637075437977600000}{4455344226281254895071387529104198220421681756592567}\cdot t^{18}-\frac{636659115308792791198368180629105963609269459195503834165363130425596096652545765821231918524609331200000}{4455344226281254895071387529104198220421681756592567}\cdot t^{17}+\frac{5982972086349211670213279894908269476268478392736792100480705889575016302183325190047191916510550425600000}{4455344226281254895071387529104198220421681756592567}\cdot t^{16}-\frac{47968484541502723006099664832108286864328937363489348782812982996554644183995478716439865880717190758400000}{4455344226281254895071387529104198220421681756592567}\cdot t^{15}+\frac{325758439931798030514043605684672635306856235468244068365899581950501889761483259919591327955563839488000000}{4455344226281254895071387529104198220421681756592567}\cdot t^{14}-\frac{1858070961462640707900869634258232271705656084355062134536652388825039471640467704786165052395548049408000000}{4455344226281254895071387529104198220421681756592567}\cdot t^{13}+\frac{8812947873938488573777107546816234733772793811301359400185960686556062811367355296771418616960370343936000000}{4455344226281254895071387529104198220421681756592567}\cdot t^{12}-\frac{34349591511369492992604337527302276600309969620092092364780211970216274846161250157610917843576918376448000000}{4455344226281254895071387529104198220421681756592567}\cdot t^{11}+\frac{108463558991633582717358123763795846946296866105884747721488575704526614293235266895695322718515455066112000000}{4455344226281254895071387529104198220421681756592567}\cdot t^{10}-\frac{272710202899892233183328874814455064889148754236570568600459892930213789217536302668869169144704343736320000000}{4455344226281254895071387529104198220421681756592567}\cdot t^9+\frac{534452759369323936872802699272639322949332521959469293944312787058814746953052594076361021345300710686720000000}{4455344226281254895071387529104198220421681756592567}\cdot t^8-\frac{794764279189243832295317707480145645165499062615693277735050693143896414129408885142409690074819948707840000000}{4455344226281254895071387529104198220421681756592567}\cdot t^7+\frac{866166209391730206096257677285469275187052442858263198701730014204741700251785258601123834615227031224320000000}{4455344226281254895071387529104198220421681756592567}\cdot t^6-\frac{660404184283430960608558411424756927341860841725589820531941318705821422937651110744067329684343021895680000000}{4455344226281254895071387529104198220421681756592567}\cdot t^5+\frac{330035841533112643738100556885726528667911271267526074531905868675228851005302127284831224521330314444800000000}{4455344226281254895071387529104198220421681756592567}\cdot t^4-\frac{98051887559855635505786623730644851727964721958628502655681749256429548980195090998880159522792197324800000000}{4455344226281254895071387529104198220421681756592567}\cdot t^3+\frac{14729826032382414033271432640544234650145131084274304139037074943869205140788473126322095386577705369600000000}{4455344226281254895071387529104198220421681756592567}\cdot t^2-\frac{812469451894686865347280324547569797802957242325441082570935944746058565086792536731033335180872908800000000}{4455344226281254895071387529104198220421681756592567}\cdot t+\frac{6352529109698377786603504039398587679838238882596767025300032001099158163880732690425531287679795200000000}{4455344226281254895071387529104198220421681756592567}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Laguerre type can be downloaded here packed into a single file.