Rule: Q[1, 49]

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^{50}+\frac{401571337016961389622481788371450899290910119743778818094469993249}{163462998886106467979177611033628493890911243768038864180010080}\cdot t^{49}-\frac{473579454770797259461071968765176091907377827145986301124567201190849}{163462998886106467979177611033628493890911243768038864180010080}\cdot t^{48}+\frac{3720580155621858965442836404723403033728144444316529049013785403890188}{1702739571730275708116433448266963478030325455917071501875105}\cdot t^{47}-\frac{2017106750706960935032596851012450676705940298416638856267388083735541764}{1702739571730275708116433448266963478030325455917071501875105}\cdot t^{46}+\frac{837734180351644708508220704308941338264629028580849627535797657002698153156}{1702739571730275708116433448266963478030325455917071501875105}\cdot t^{45}-\frac{55473442906776989578468633435685414634943028293844994149198475695374764645636}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{44}+\frac{15045438320955367591425181003411638768868240585546055431331208582196927721925216}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{43}-\frac{3408748747264387497307373093132040840663295988624765067131129518877529633916074912}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{42}+\frac{654663630269201269369133840462711067490896294895378822248383357022179692228028118096}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{41}-\frac{107787822271137333255618391440286232088601323429013050514096881694687517160649783533264}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{40}+\frac{15349336479130463000768783170733197633742978863434606692107712156210418626584442242122240}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{39}-\frac{1903841310497149535764031098863588521283995288116686737880318885446374896368267371964720640}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{38}+\frac{206842361303842815972677979702173745089007861511011195381689439104185108518745035383477383680}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{37}-\frac{19773433886654055450823493561352040684819657765074142550832284787055465868017310939089250019840}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{36}+\frac{1669303272556919751777020564263015912685408842369038846522473271178500121152620417616456795893760}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{35}-\frac{124810798450061760183658863994430562499871192871793620399998155782835924334560489585444557989990400}{340547914346055141623286689653392695606065091183414300375021}\cdot t^{34}+\frac{487262260379937407487558364149895876739063084998830816452477806964271732573493913788516570177459200}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{33}-\frac{28754520281057480341549116975485204960457804609884472653950260943230585952429125088732921957894886400}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{32}+\frac{1510651893713044077411756620525228968593639347326096487075064700772930402851671222878886611270251315200}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{31}-\frac{70709730549353671800253521107832733528669928026402731098079745152596339780647671488874492517876747468800}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{30}+\frac{2949970183105524672037377282832637790703520803447993971094398489988001730183108887932220715609339396096000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{29}-\frac{109694051417418935671195563328345965444544357783995272465064468305965427561808548895265793787818562748416000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{28}+\frac{3634309994635878548525196967198853147235928746023886921101973953952439479024300308470961831999732936343552000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{27}-\frac{107208065197850729037086100752928988646914004526687503566377732996599363917817166200834426369500677913706496000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{26}+\frac{2812807994905534939279931051679293662074351648544000909091812513116796958973733532781585986967936011636834304000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{25}-\frac{65545911222624667437429181225946814210003572468422397157422382836671805711771415660880026079436867607861657600000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{24}+\frac{1354159907085557636673936834009990400101510554271150017643963968663742192946486282155708811713441729916541337600000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{23}-\frac{24749775889718799976684204185262549857479923211496684260002969562147107931362076320803161969441065012182594355200000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{22}+\frac{399143152394557290030296279562529863616681628634283207223682916664587829135949698104716552590970270109957462425600000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{21}-\frac{5662749870049249220886821793714033517020158583049422527787687134740115159008821103338999860651102170588724487782400000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{20}+\frac{70427037418045242301010171327211329533872222260321056895319166380784377157666859929531179331805695104013861650432000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{19}-\frac{764714586951186517827774785920703163074009253264283550825092298062745262683493842359491205571024107242970197000192000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{18}+\frac{7215619006113219614755098751643707236650402718969689025762313367487710110923846316637049980450222126557152169426944000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{17}-\frac{58846614847452985872118746643833431777425892177338140741828897281691058145391992175010492693635582474285528621514752000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{16}+\frac{412236566988387510994791525659028860659736585094830992564502900587787559116297440245804328619478139412737929529786368000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{15}-\frac{2462826122899850247566608509876903876992952242721358116001250953041467545164369789357788727462992972406171382138798080000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{14}+\frac{12444271503134232326418673430795566634407026010962281502188495145195013994242394408841699421800879037908519408768122880000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{13}-\frac{52666719006587531915928584384329155269117864299567586224711154848693651526295021034343456017466297318706915266065858560000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{12}+\frac{184575426118636485419836431100038708266057032315580014174075344676543496450667881151338181866535064500260966491257569280000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{11}-\frac{528434589574942303390561911801034696926882438101781122689458936521525214940537830643544476158990496328406224454203473920000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^{10}+\frac{1215923207660998142405167364693786100851078910851055371956926720479283788092208099522660858955396152545178110420372684800000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^9-\frac{2204321585207501163990458856392419417389731926392730944688321655980864506091805905236238773689847981965727404955323596800000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^8+\frac{3071476707398068597665735987482314308458031983629817558371931951045692373908937850844156010261267495157002881849727385600000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^7-\frac{3187341624611383414529245495562286048048598022118629465347116558430526729676723459110163125237641624284930762248867020800000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^6+\frac{2363340078241752348962773458597232202069691977246878774369483482557225925272976540187831100329279194079650288495702835200000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^5-\frac{1183047204779564112120733978665562807445926922173290204598518325201103514567703431025832445906763635180084764778430464000000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^4+\frac{368228239657177351275028229952273622447977631147239440990391110857138761949338036260357502425089913669391608860114944000000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^3-\frac{62571938502533159145961076955577322836336701754260096460852943686250215652212182893857524308976996231548357698387968000000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t^2+\frac{4579680168926168565539131493477823792953273279054105937633269721370360280728447672563103421489766012251901121265664000000000}{20032230255650302448428628803140746800356770069612605904413}\cdot t-\frac{81028939814135462383261460627966302189417948706229386140672921611956916286750669524797566559220034397752195547136000000000}{20032230255650302448428628803140746800356770069612605904413}$

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.