Rule: Q[1, 4, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^5-\frac{10}{9}\cdot t^3+\frac{5}{21}\cdot t$
• $P_3$:
  $t^{55}-\frac{620793988223763291565050635316437364491185}{45435517045280299736853824827158148620189}\cdot t^{53}+\frac{71506447770245694231388329591863850269584148365}{810321871928817792463510899909424980724714503}\cdot t^{51}-\frac{1396361921851014934269617342530468770118104235025}{3897262336419552239943552423373901097771245943}\cdot t^{49}+\frac{255232828322859108610692032668102628857517675050}{248761425728907589783631005747270282836462507}\cdot t^{47}-\frac{6935827260847820745754692599352690653343408899770}{3147372821178787331610287942280680535017851719}\cdot t^{45}+\frac{24489570191855025423949449972831349609490358103450}{6644453733599662144510607878148103351704353629}\cdot t^{43}-\frac{337774820552458411884122787550113109673039624187050}{68659355247196508826609614740863734634278320833}\cdot t^{41}+\frac{3292505884259053881218097710942497747103298921452275}{617934197224768579439486532667773611708504887497}\cdot t^{39}-\frac{4569454482311049656371467663621053557945233422883775}{964844623736919360879198270305821955123805876969}\cdot t^{37}+\frac{97387545908640511775776089900248509553672570411440885}{27980494088370661465496749838868836698590370432101}\cdot t^{35}-\frac{178340892340378643280456907993084416239866360398317275}{83941482265111984396490249516606510095771111296303}\cdot t^{33}+\frac{2506818312855405781575416699781686403664381038629480300}{2322381009334764901636230236626113445983000745864383}\cdot t^{31}-\frac{31834309828003864325038152053797124190210281563432700}{69748929090143106055815591088882161336530611944759}\cdot t^{29}+\frac{2649383498677473308127786014372025060404379838002333700}{16530496194363916135228295088065072236757755030907883}\cdot t^{27}-\frac{28497331510680029511480913540000546349223414646585340}{612240599791256153156603521780187860620657593737329}\cdot t^{25}+\frac{251899163472480469712328529969836966517685958927125}{22675577770046524190985315621488439282246577545827}\cdot t^{23}-\frac{3966743670532792211666461441746730245166706866273625}{1836721799373768459469810565340563581861972781211987}\cdot t^{21}+\frac{1072657734605995406691322064861373024701302047847022675}{3173243028718080641810676053386713681596868308340576207}\cdot t^{19}-\frac{7005846488618045579648888112714943561766623781678725}{167012790985162139042667160704563877978782542544240853}\cdot t^{17}+\frac{1860299215961017943554374258551554513578840856921510}{459857136822158766405152045227634787311442343169759061}\cdot t^{15}-\frac{62782283604022030034706206013357763803170790180009550}{212607282924111403001315295576909816666990176658818605869}\cdot t^{13}+\frac{10044537848680243799146250416528797222987744689131550}{637821848772334209003945886730729450000970529976455817607}\cdot t^{11}-\frac{1117794807047532494887304007587111404588828473198850}{1913465546317002627011837660192188350002911589929367452821}\cdot t^9+\frac{176014154314711689060696304769907084773553644284675}{12543829692522572777077602439037679183352420422870297746271}\cdot t^7-\frac{21740628859178521466491228044814071358332128754323333}{111460289371191407506185882739142471330208490404151175674115349}\cdot t^5+\frac{1288430991392827642416727154461172420435803094302955}{1003142604340722667555672944652282241971876413637360581067038141}\cdot t^3-\frac{44852659221102563790034861733046863309847317262785}{17722186010019433793483555355523652941503149974260036932184340491}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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