Rule: Q[1, 48]

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^{49}+\frac{8769750693647547068517989057641628471050400969181427469905771009}{3720622112675407553726433431351627224048859730507899347807489}\cdot t^{48}-\frac{9914443424365179571820710786492415973687732163676223673796076590208}{3720622112675407553726433431351627224048859730507899347807489}\cdot t^{47}+\frac{152376100111158030424436271464446256530031304436735272135417711322752}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{46}-\frac{79046311630941376290994131114530493290840425165571934852074654492024448}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{45}+\frac{31381694852747462567421897222869411335304187565064918851527902576196800640}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{44}-\frac{9921881741041610123135817953778215251802608948018287185716890613487913815040}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{43}+\frac{2566923541592044108766423582333938846400379953874266866689299787727402084807680}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{42}-\frac{554128162657734432759131786818385551244202305394648578508679487941101011113904640}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{41}+\frac{101280191051891699728753791004858142611868901871532869667299026054338764323232258560}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{40}-\frac{15849848844558204687101648079035385873282420592341109218458528884428568144634790297600}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{39}+\frac{2142517535523426782924880988862124203681882498404128643665177625986165691843384512921600}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{38}-\frac{251909800415399755217907417716913991362234121850373972642679188096703190884725591218995200}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{37}+\frac{25906042356374265702496641551337691909537733569876046113585720042700591013510481782727065600}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{36}-\frac{2340580162132829900052693755068686028423708778926842519809887817237109849708724268109014630400}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{35}+\frac{186445079600839434964398703199772433806433834769788036283573633292578140723619054847055773696000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{34}-\frac{13130915804003379929586364168397257164817964116574780858381464435821411092177434941777994223616000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{33}+\frac{819387596873847913751851181843254768822050595162015151044363834138274241299583833121318316511232000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{32}-\frac{45375953093943712039298140371780765573732249307385570821792478837431408187581485760513964513427456000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{31}+\frac{2232446307333363708518294686820838318604498538481865294015823818076989165693963205304222597915869184000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{30}-\frac{97642110210129269180359780741367069346191651552952665398875946399312117171827143650357591950156103680000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{29}+\frac{3797480898686013391070966132583084974890814796343818626137166164215206005110724672150626925811261767680000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{28}-\frac{131306734886462285893354185152727041303483466044327353910580401412489728899880402167910102394652600565760000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{27}+\frac{4034382974914535440387535856535309333283278520542852730687441808055570286275890600228465876957335000186880000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{26}-\frac{110044726103177959632069382490611380734157541438934513037875047691332292139960928251357979727121211950366720000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{25}+\frac{2661358293656579275663912625553622047854235113731133520701345444727483863745440114907020931331937201553408000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{24}-\frac{56970796092562181033193393722037258329085009780677262619328817906572169393050370982820507877840238619394048000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{23}+\frac{1077245215675022997505964447078504344226629049789941355898453505105048422286807721115096331685274488433278976000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{22}-\frac{17947494984824273121430136288132616490954454075534951938835327497220150267419261658871330912586813088011911168000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{21}+\frac{262684493018079606314255628484604452723525353381831194966856820108013393543843225002211535464300748906883448832000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{20}-\frac{3365910485857982859621212114501413510553359194866802530138536156317558877062534555662534310105130512545281474560000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{19}+\frac{37606430464379799556577356609595412543342687239224213171598460561549668010154340629388330576163547053308415836160000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{18}-\frac{364664940625572889415111376827630360203936286686628329693494085456535054930683571365564638676246822517654390046720000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{17}+\frac{3052582404212054215286195702942968838469289485060491630184728363127658771021885887125073707505881948298246944194560000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{16}-\frac{21922514558221464680024922008653294942467997241852545668054994656852614163274590557001168568802082425401994630922240000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{15}+\frac{134105652317793350255375154825949922289016204588957672960168961793018362594319839011524061807002572173673524258406400000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{14}-\frac{692973537922665216757657193357478275271796546503811118295470548756358452534649799741554439768177345446486340953702400000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{13}+\frac{2995485271823125693429524099338611432136522235025330126341328038164736792693219531409543092945967521555618602994892800000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{12}-\frac{10708170012561341873521097684925072627192276088700690221518222119593667113837631436834724290351256067504253371311718400000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{11}+\frac{31227392752542481637371110933667342973085969965324018323691140941161261068126991617983971472725784548707162931173785600000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^{10}-\frac{73080004049896871860185502112187113077592323754005763618218212624342605290996919381137701008981359655842567352745984000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^9+\frac{134522283504718066092253692148943301622440183662702926722046204989227968069409393587867154639707533978860863843467264000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^8-\frac{189968758907139969296716453802599566039679139094714913380055324935468240766395161136648655934161306541912859636400128000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^7+\frac{199362973749165148593564421524038549242163300413959139131766787701089906494360257445678001591852221023701916528410624000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^6-\frac{149113570832568918713672105988709151141513518350179908852818383475902945980242226642056481955874171009221379055681536000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^5+\frac{75062211847173225977712451415921938481506449493854835483641583189901800662428619652229322661745544090381469215621120000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^4-\frac{23402974264203805759631443306011560848678202865255555340732621450771697855942184368303203792542954148048678284165120000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^3+\frac{3963322934675211206375690126496213340133498263328632521962175107258606165277709263197978851495933249569553215651840000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t^2-\frac{287102105463892910572042344213723415486604629371616062052927069193907267433732289762200670049168684622517549137920000000000}{79162172610115054334604966624502706894656590010806369102287}\cdot t+\frac{4978108157241868447879806351416919441403083063928831577054548560195864376074601515467410254564821737025285652480000000000}{79162172610115054334604966624502706894656590010806369102287}$

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.