Rule: Q[1, 54]

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^{55}+\frac{42037781409208859985752247845389994594072034075851643053607603993154582531}{13957424787281114379685655426533268034678651725605490373355741377412135}\cdot t^{54}-\frac{61023646436189044802568955741203572232765591861986656127152943686031411849646}{13957424787281114379685655426533268034678651725605490373355741377412135}\cdot t^{53}+\frac{1073359667206944434177763369520970738136943458731075228051246013250767481853994}{263347637495870082635578404274212604427899089162367742893504554290795}\cdot t^{52}-\frac{722397201891861842612855893493738575975972347793994403084072721120659827550227592}{263347637495870082635578404274212604427899089162367742893504554290795}\cdot t^{51}+\frac{374129540404701574664747058329314745331707151276103771433262732015033195598394155848}{263347637495870082635578404274212604427899089162367742893504554290795}\cdot t^{50}-\frac{31039004698771384900190540071932223620059457269147637865182569541924929075429993194800}{52669527499174016527115680854842520885579817832473548578700910858159}\cdot t^{49}+\frac{1514126837160397623670955772204656037994689277999044777435402326047257500698696530044400}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{48}-\frac{434114623895327247522981623294774338158661963145238326249335318427575721289981137340556800}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{47}+\frac{106071447509200899395340013009543165762339021336321625591486662244485854752736835769841446400}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{46}-\frac{22343240185282820459987763341240232400709687948866296672083843060219910955965266771938304793600}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{45}+\frac{4094506200652539043731018123414890011397235358228004379294858589886445042605374878848252095104000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{44}-\frac{657566433907652830448905276587036274709763543506907068558250899448161578355165871115135023650304000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{43}+\frac{93097510428418791542065828808272326210014063431324467986774302785925299962153295104408861036779008000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{42}-\frac{11676273983869111582369569020639380892290278462772368441106359298358099009253675469605073981275546624000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{41}+\frac{1302468122664418838571179740721644682309445164847039495506190799013615652355134407061855700286158212096000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{40}-\frac{129641514086990590581147644653030274595622645663272223437906226599123367573990691649663610973737016586240000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{39}+\frac{11544946140903957129480864498279761125918675207908199790095242399091902555109631804951085445210784729149440000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{38}-\frac{921816689373284827978575176185036233389369171221308085047320475806284368242107683820662451992767019103150080000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{37}+\frac{66106282367464779140589662958426771524108479564826121705319952416332393347986347925863287534628137218265456640000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{36}-\frac{4263402368805996164421842521012847152290195455704217699627894454559496396425385261668116227055135342168078581760000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{35}+\frac{247515195678349354031119368135312304739392750410449324910478266231538132727573218701516999608871431234565741772800000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{34}-\frac{12943622697205728719656139324024654041880629941786564802187184945826702539418066764822151462937551020035540724940800000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{33}+\frac{609908509017720452827928650621167643539933915183669863875491367900412308691971943184540875419962829718829861878169600000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{32}-\frac{25897157189673001283486019162362181289236320634143990110035030293173216713098081724470830981897826515937335275474124800000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{31}+\frac{990658433045370239188300520460956637562352449834151791451540566503238004001886059147397432506187732437878020646318899200000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{30}-\frac{34124889590297664543671485303409227835762102347793374721769273526277223146040525812520096533130796624723553306656584499200000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{29}+\frac{1057721230186405600829368563179194120715959673211154376613593753653639141586348599237127841770573366538718745554853245747200000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{28}-\frac{29470429628500587547393671540824481979481668141089889981167811204723197460577658526419039392405293751390833704214402066022400000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{27}+\frac{737161401647894673102444896376151183932072527590447464038137690927873784119368224961748480272619818335845120913066681381683200000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{26}-\frac{16528136359962127353212492628863985749646224913982301181296414428698465202746755094076811638843654546495870216077981894102220800000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{25}+\frac{331563893873488469203962908455350097204766442330507785744626200708780399260828216109184627463930292738387709158229729188249600000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{24}-\frac{5938186177846425771225227863272608670870945785759541954884457344133586840134944979660835913314680420902004628700228434368921600000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{23}+\frac{94710593293883674612004735303956859036293169014015159163861369301343270154580773172409344653799625389678579713944794007024435200000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{22}-\frac{1341395504410635145315915172325073325668659104974126702646693993225955776842368489667560001532564810340309174035972203510077849600000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{21}+\frac{16815429001047411507436071819719774008411084094904756240670448201431973849642527495074831231657938059504736758426472123382261350400000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{20}-\frac{185880829405786890932129027423818045704411816301505733644361689869076721234124578003760071600061772319128643599996605361528242176000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{19}+\frac{1804254181804779765340937620144401859710594133637004675474051293386084920742481277165860473856906404148879667067814708663996645376000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{18}-\frac{15304006353010627128612219642235224104303258368557259935410194250624525204333985746583839051609930873640808127729674612675813834752000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{17}+\frac{112816498630265220071103075048726889130266919372305727009892874232940367037347291544713177867405690721836851020170496040721717395456000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{16}-\frac{718248870915383126215730605488363911551536909542859255046251987977659215566862253903573068757722888832177367082571934869822975770624000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{15}+\frac{3920883753276597314504642546331635118307493790199180923818723309622256548080680839810265971022222081342310968734435521775147952373760000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{14}-\frac{18200736629090055849364050698376998328696435821858967862993500791192877952528500035007562342655966256582229965829515318357133948354560000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{13}+\frac{71152992105774320815016768554524245080485702447703343777676825207002474814767505182221542077632343718747856072290341769721967196241920000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{12}-\frac{231620257733812679610488437623427917415210611496616473271109919719370385968999581038418361479134962892594239508888217594449064477327360000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{11}+\frac{619455944393245276066479145717287888057969551397570275458857284224770075063332590203055840337961175719636776811643851489928324306698240000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^{10}-\frac{1339371198531436744594880297687011203766993992014045001231538903100748311760917092397410816011650980906444779346496246626338762601267200000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^9+\frac{2295745153501840834682038343225520627753046189717087936152027707532904168006179552220514844672219050132177892467980958737769210000179200000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^8-\frac{3044283045336926585756774472356057631309498680291308394284707896650563930211250877291861540489215922241211199004936571478492651611750400000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^7+\frac{3027572552671398725270831153744754425614935774293166207033378849923922303080929018289703288082139777639518541385898531306626356556595200000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^6-\frac{2167820683204227022645119241296084878342668465172417294243075858302042086684437154687032425686045815787234636312139553617027244281036800000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^5+\frac{1056759376708356354458451005831346357962050574928311235010842619930813781936571282453665923506348525330399962169819688575138976392806400000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^4-\frac{323342017159255943219511442307060069704750811543754531614051588388488407785335396338450157197565032814599880745207356827984883770982400000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^3+\frac{54598975985145227798057244252429009324060768075209515148472768309719871222136308526655099474603295742702428818962282596579767274700800000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t^2-\frac{4021541998591321673820356268335338030758468360696600728457930321920210593261258052801382431208754791607349445287401458819834209894400000000000}{7524218214167716646730811550691788697939973976067649796957272979737}\cdot t+\frac{72703916467098259117969528609596117853761451398786134033523704218351265718407621412770674973781930815752196907471456958324251033600000000000}{7524218214167716646730811550691788697939973976067649796957272979737}$

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.