Rule: Q[1, 55]

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^{56}+\frac{597276069811287695721846922601388439779168176031581684230573493729494512319}{183428572316511012796859819873141210830887394104965325793513673517125844}\cdot t^{55}-\frac{936721706967470243660521443246916639118918644776863061493690762305289596504175}{183428572316511012796859819873141210830887394104965325793513673517125844}\cdot t^{54}+\frac{17461140450216621255751489489066198735293217619507258860595504076204937376265525}{3396825413268722459201107775428540941312729520462320848028030991057886}\cdot t^{53}-\frac{12683541025406936938712145684030826346936633017296007540895387394109821400353905775}{3396825413268722459201107775428540941312729520462320848028030991057886}\cdot t^{52}+\frac{3543590964273157632794887249228272916496478511133638704691922186510557782832133725710}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{51}-\frac{1585548980692267170776431467431913603536689845478254426636204657986930908880215671494310}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{50}+\frac{583911170847185895620099754401203892061484377278598740995878945757691078179536204604762500}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{49}-\frac{180541648933070946478366129663964396830817054649278497927708150413079912881668489525712337500}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{48}+\frac{47574261175201337864639954057796473742510364305361292470791201851041994476724140964971604400000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{47}-\frac{10808606123379215816867735723785429872899642182870060244384485988670518854393219728249611853360000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{46}+\frac{2136786420807187373309785985596987014627511289881016003441004513959222013518728212171371287246560000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{45}-\frac{370303323249186330509503067087102901812635993748631377364648993060826018659619959383771431942212000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{44}+\frac{56594334149472412067114522635902059856901433030044058833211132801618500956421536601351998841291824000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{43}-\frac{7665684310913524181854361395917958811244239997583171942445841347301753328130984221350808863430092144000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{42}+\frac{923968389650915172310549880548127479531194950182129736689359854663754473321650750984151539475349578630400000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{41}-\frac{99436645224553139581480009577120334237985818252880767462753513570836690723988708151278125941476841238342400000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{40}+\frac{9581069318720659187960740925096755308962396899035438067254697168100016667729080873156125248642331046760320000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{39}-\frac{828386924607345257387947728410371106686663744890549047426968819363189841206022118030867365415396950701088640000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{38}+\frac{64385185375492405817884176497405045622216376337757871940989595329666548823159204573283203196359286524270698240000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{37}-\frac{4504897418712578858484762089758318174476059786969438414196898408540164341968526843662292309217608308235455266048000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{36}+\frac{284047954877172499533381741836045820240018360154794201917468785034618610877208607144343846195198704582591299232768000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{35}-\frac{16152147481563711916151693341481063890802493749288920481114227438599053290742748096489687481881165369306739318502400000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{34}+\frac{828700633598206850422762540527803058695430913534837118608827110571894924342142352969854038500756343448637252673484800000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{33}-\frac{38368205632767612415262968088229563020253459495533147189571706851766619089007038650308957370863042181053784991289804800000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{32}+\frac{1602933555856039485136612798464412149850183323214768542608092510672220405186124514697657866025134705792026814157628899328000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{31}-\frac{60406442232429030026155242365291487840520935869934303871323312317574344956905631459761271748164236726846733148623781756928000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{30}+\frac{2052199806293148225825368850860073450898798066188706707515942740715207856891316893952739643146648535294733788875583691161600000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{29}-\frac{62800219414380291932323277839510910783899099230080227268418529806439719464259779060947634348778288099635910010320657855283200000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{28}+\frac{1729156655281284252694728067320693051289272094143245889941201209590888465720089770647130260071278483831335021922087819227955200000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{27}-\frac{42781167236075869244374914045023949067616605870116770053345996198239786900978917927728959208241895616141376934771367430596853760000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{26}+\frac{949536372845160485684810476535768339499968912913729081523795575171373717465571819155589467529166628220082821861326986363650703360000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{25}-\frac{18870454929947494016671375788042746647737680842018817098294753169490344340854148354650813106121981800109352411477336675568844800000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{24}+\frac{335044844993680534643979001418116676327853274537158337275541073653785526035645331486586520865133286856061885820665553141340569600000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{23}-\frac{5301116416341034732356548990545765207449560538238720626131405147764600689815417721271978995363165093468827597465175336884345241600000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{22}+\frac{74526724001524492221187338461977565686808147424467984205509556209418409209363478949582946419468254893081842764532710187765795389440000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{21}-\frac{927895617109178775757890393319997733184844056721826338968324095099427668774673472281308945462452078046885752720450697532053903114240000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{20}+\frac{10192852596753324560067415032224543640067981702636971582909795963605187294428587323570019430123438201659664125139196705556506083328000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{19}-\frac{98366811635208319401281331703726021428794154632725700937998783811800581801068586318939180178904301599691297827976827929308620128256000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{18}+\frac{829951119148929691695969217303264527223829859520247581426329741899231038842083388531386383333590888510038841419244539448437438939136000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{17}-\frac{6088514970244106996635999564769294378316027711612511056078122385186350512854734356227129985816617066797821281956520607857650509126041600000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{16}+\frac{38591270116759083524799197874091723223039280004315993514777052941429115442422111096600934100592639775910162323724484172177735941724569600000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{15}-\frac{209820250504148970979275044045459313167288919797183184388813459571796393944399100356332489531299106166078971563310770013982902903111680000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{14}+\frac{970434990116961835414806034837761427381070059441023606741836524735898028178168155540729188154580880288308986346677057318480818586255360000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{13}-\frac{3781298186395609302960509699455724258035514833273753330174838803200506442139122712698626129706092453205646381342229601016718045227253760000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{12}+\frac{12272780150767059525485282448328876616707233838731440255710213963729294556082354940443335753891779426427102753856565978374394882830630912000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{11}-\frac{32736829102461923544807152105789819750691287946291548966047265100505504090775251765877809022165470072046360599512557940281094228978696192000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^{10}+\frac{70618958334120386842670620605220598817854911959866708322637025885072235664447651002179223118331079372367518128515765361820485117647257600000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^9-\frac{120799837334242484356008942035129476692618735504194845099102600964027224828823083079336148822443497676254770467405726129709357460566835200000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^8+\frac{159908809769347677929810562349647925394425870466761952527353757710360884210796088284074917397816553680508544121392454806656844127482675200000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^7-\frac{158797475360091068766737256400344203606522724669484025226762035878352485272266786695236567606992768188190640279649881975019436940340494336000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^6+\frac{113565400338509232820418937669200075524593950316382120218859333553330332247967110733232740821735515601987934579060111698481294095822094336000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^5-\frac{55306954388807157542234072509860637006728552452578726943440975969259091435624443568638981240245879870172570484509197229867951243604787200000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^4+\frac{16910236562979469166222758196200315591204184018337501286771426194308779118175700219492804228982198063560226217198570214480316847253094400000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^3-\frac{2854005677531161040703984932828500819371027253781495299694074091473538124391928069710734429019430556020826576323588953009516873934438400000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t^2+\frac{210155534150235919057273466639293263530280521539884149206757126101499131812453777176194047506072346771996275135569663292531947151032320000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}\cdot t-\frac{3799053911169255497884461558119563542482710504630284160378892047165828572013702341083898542074751922349442844031917905889755419115520000000000000}{1698412706634361229600553887714270470656364760231160424014015495528943}$

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.