Rule: Q[1, 10, 34]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{11}-\frac{55}{21}\cdot t^9+\frac{330}{133}\cdot t^7-\frac{330}{323}\cdot t^5+\frac{55}{323}\cdot t^3-\frac{33}{4199}\cdot t$
• $P_3$:
  $t^{45}-\frac{16634372675715074333808519308001980730561855853693795}{1515260311995642701509797231793347989411216181878586}\cdot t^{43}+\frac{305862931420013864247081145688211359502879920798151555101}{5441299780376352941121681859369912629975677309126002326}\cdot t^{41}-\frac{56282818979412213773921991005040109306021466527592102921609273}{315663403509083174996821568866697056446463979895672209937075}\cdot t^{39}+\frac{2440764757575182530668275294180984505302226079142023402250284}{6219548841069654999937375041098214607447198524260208184995}\cdot t^{37}-\frac{56646025350379453859379892373001397140957213448230848280753934553453}{89037381930566092172253477997100943802270083329707590120178471350}\cdot t^{35}+\frac{8126806584311345359389420876073371558053913260710507592384501443031}{10325343450771530016614268876974731298078379411344241543348427770}\cdot t^{33}-\frac{7962275911003280826680324834922303886984441722339867819927682096748}{10481788048510492592623575981171318135928051826667639142490070615}\cdot t^{31}+\frac{395044800758045956741371124360698308859599266292903590239650902068058}{681316223153182018520532438776135678835323368733396544261854589975}\cdot t^{29}-\frac{432628489122256854857918698604692148148890649426140510448979149889469}{1226369201675727633336958389797044221903582063720113779671338261955}\cdot t^{27}+\frac{1280312004943824375135480267306956677523626480886882168854613813728373}{7459539161189967228417111573266921406735463549978469856405433587675}\cdot t^{25}-\frac{1174814926349222447740312214850513895518377956498629720011219035905922}{17604512420408322659064383312909934519895693977949188861116823266913}\cdot t^{23}+\frac{900748945247506337305500583339535313387593587327538658304663870161716}{43628574259272799633333471688515924679741502467091468047115605487567}\cdot t^{21}-\frac{52363894999628715089269869942290679559702316738256238652513227656749}{10387755776017333246031778973456172542795595825497968582646572735135}\cdot t^{19}+\frac{104887561944380736508779156121947889920652651662624740051393902343}{109344797642287718379281883931117605713637850794715458764700765633}\cdot t^{17}-\frac{12146822549925916591632483081524265848046184274284262317576455198748}{86929114125618736111529097725238496542342091381798789717937108678235}\cdot t^{15}+\frac{6781634910192722205063278725740432796065826219143490543710264060001}{446236119178176178705849368322890948917356069093233787218743824548273}\cdot t^{13}-\frac{26915387570320277428378590530299791161650823973181726949370289396663}{22586412801479994276034529565881711106740022574103679383841033580981818}\cdot t^{11}+\frac{76968764450001190634261413909593682049350253859430108404588420693413}{1201186498987799695589109072367345545222083018713695676322454967715851230}\cdot t^9-\frac{552094122387079102750050929663762955748992336945093661594703213}{251821068970188615427486178693363845958507970380229701535105863252799}\cdot t^7+\frac{6860283323993904421097621973287784194307241017269305272696471592}{162064845101528530357260747859086303720439772366133543630807416279122785}\cdot t^5-\frac{17827044653752198042000632421235548335827376077227202323719772579}{48036020088093056397892085665433180422738348529321982332171318185131993474}\cdot t^3+\frac{14338846722924764823572358128415658386032423261165278096576133}{16012006696031018799297361888477726807579449509773994110723772728377331158}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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