Rule: Q[5, 50]

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.

• $P_1$:
  $\frac{63}{8}\cdot t^5-\frac{35}{4}\cdot t^3+\frac{15}{8}\cdot t$
• $P_2$:
  $\frac{63}{8}\cdot t^{55}-\frac{4345557917566343040955354447215061551438295}{40387126262471377543870066513029465440168}\cdot t^{53}+\frac{71506447770245694231388329591863850269584148365}{102898015483024481582668050782149203901551048}\cdot t^{51}-\frac{9774533452957104539887321397713281390826729645175}{3464233187928490879949824376332356531352218616}\cdot t^{49}+\frac{893314899130006880137422114338359201001311862675}{110560633657292262126058224776564570149538892}\cdot t^{47}-\frac{24275395412967372610141424097734417286701931149195}{1398832364968349925160127974346969126674600764}\cdot t^{45}+\frac{85713495671492588983823074904909723633216253362075}{2953090548266516508671381279176934822979712724}\cdot t^{43}-\frac{3546635615800813324783289269276187651566916053964025}{91545806996262011768812819654484979512371094444}\cdot t^{41}+\frac{23047541189813377168526683976597484229723092450165925}{549274841977572070612876917926909877074226566664}\cdot t^{39}-\frac{31986181376177347594600273645347374905616633960186425}{857639665543928320781509573605175071221160779528}\cdot t^{37}+\frac{681712821360483582430432629301739566875707992880086195}{24871550300773921302663777634550077065413662606312}\cdot t^{35}-\frac{1248386246382650502963198355951590913679064522788220925}{74614650902321763907991332903650231196240987818936}\cdot t^{33}+\frac{4386932047496960117756979224617951206412666817601590525}{516084668741058867030273385916914099107333499080974}\cdot t^{31}-\frac{55710042199006762568816766094144967332867992736007225}{15499762020031801345736798019751591408117913765502}\cdot t^{29}+\frac{4636421122685578289223625525151043855707664716504083975}{3673443598747536918939621130681127163723945562423974}\cdot t^{27}-\frac{49870330143690051645091598695000956111140975631524345}{136053466620279145145911893728930635693479465274962}\cdot t^{25}+\frac{15869647298766269591876697388099728890614215412408875}{181404622160372193527882524971907514257972620366616}\cdot t^{23}-\frac{27767205693729545481665230092227111716166948063915375}{1632641599443349741750942724747167628321753583299544}\cdot t^{21}+\frac{7508604142241967846839254454029611172909114334929158725}{2820660469971627237165045380788189939197216274080512184}\cdot t^{19}-\frac{49040925420326319057542216789004604932366366471751075}{148455814209033012482370809515167891536695593372658536}\cdot t^{17}+\frac{6511047255863562802440309904930440797525942999225285}{204380949698737229513400908990059905471752152519892916}\cdot t^{15}-\frac{219737992614077105121471721046752173311097765630033425}{94492125744049512445029020256404362963106745181697158164}\cdot t^{13}+\frac{35155882470380853297011876457850790280457106411960425}{283476377232148537335087060769213088889320235545091474492}\cdot t^{11}-\frac{3912281824666363732105564026554889916060899656195975}{850429131696445612005261182307639266667960706635274423476}\cdot t^9+\frac{1232099080202981823424874133389349593414875509992725}{11150070837797842468513424390255714829646595931440264663352}\cdot t^7-\frac{152184402014249650265438596313698499508324901280263331}{99075812774392362227720784657015530071296435914801045043658088}\cdot t^5+\frac{9019016939749793496917090081228206943050621660120685}{891682314969531260049487061913139770641667923233209405392922792}\cdot t^3-\frac{313968614547717946530244032131328043168931220839495}{15753054231128385594207604760465469281336133310453366161941635992}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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