Rule: Q[7, 48]

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.

• $P_1$:
  $128\cdot t^7-1344\cdot t^5+3360\cdot t^3-1680\cdot t$
• $P_2$:
  $128\cdot t^{55}-\frac{138104780946659189734301614609371772622111200576}{1615127349649056470704171123998417232551497}\cdot t^{53}+\frac{1834153847215409021550265539737704077967684101552864}{69450476034909428240279358331931940999714371}\cdot t^{51}-\frac{2436940068711596174829061041402345608014104758950679184}{486153332244365997681955508323523586998000597}\cdot t^{49}+\frac{45530414174232162513953532350224074084402693218943573456}{69450476034909428240279358331931940999714371}\cdot t^{47}-\frac{4360600475969010163967377520849767311084233800900879682184}{69450476034909428240279358331931940999714371}\cdot t^{45}+\frac{670856390521976891119697773478674331939894688236584684020}{146829759059005133700379193090765202959227}\cdot t^{43}-\frac{37987017815014518529817171979319713922414733018223693830970}{146829759059005133700379193090765202959227}\cdot t^{41}+\frac{3401256947424589564712579595210154528511138306186304341317305}{293659518118010267400758386181530405918454}\cdot t^{39}-\frac{243335479756895606875675302759914753613684028593568094639815605}{587319036236020534801516772363060811836908}\cdot t^{37}+\frac{14004071357262982928026364296475476713478705242200617882516018365}{1174638072472041069603033544726121623673816}\cdot t^{35}-\frac{650750997918782833785399969114275505938198198966323108016387152725}{2349276144944082139206067089452243247347632}\cdot t^{33}+\frac{6112110242726347808761768415815898161684975450226823628325051483175}{1174638072472041069603033544726121623673816}\cdot t^{31}-\frac{185496007325744725578210187674049567655664399783684956316644933133075}{2349276144944082139206067089452243247347632}\cdot t^{29}+\frac{4534693813308731793578181711767187183448551396687149587804256523529575}{4698552289888164278412134178904486494695264}\cdot t^{27}-\frac{88866336487672859693771679162726782106282143265483124191263380523133975}{9397104579776328556824268357808972989390528}\cdot t^{25}+\frac{5545908369408775327809699973810117367618099597740158759967720352572168125}{75176836638210628454594146862471783915124224}\cdot t^{23}-\frac{68258110217397409377018541993995568092274350006431321902265121520987145625}{150353673276421256909188293724943567830248448}\cdot t^{21}+\frac{654942959944134779821228699739232281947843838786789515223243796807275885625}{300707346552842513818376587449887135660496896}\cdot t^{19}-\frac{4825522778307851960200220554702524780465736402114003295115725826518826110625}{601414693105685027636753174899774271320993792}\cdot t^{17}+\frac{13386752563018318357274952278403807710322694913886354003312405445593897208125}{601414693105685027636753174899774271320993792}\cdot t^{15}-\frac{54516092620721576717690415769546694106319499838134017685526036338048467940625}{1202829386211370055273506349799548542641987584}\cdot t^{13}+\frac{157386519653354968836883995822175086447330697987948752397850586706328445553125}{2405658772422740110547012699599097085283975168}\cdot t^{11}-\frac{306649258398902640422838059888907275523197075560034109785713768816601786353125}{4811317544845480221094025399198194170567950336}\cdot t^9+\frac{749302015084157301415412441382313005114728210635485450062046019860356416659375}{19245270179381920884376101596792776682271801344}\cdot t^7-\frac{510069226386900258436188119031190319211909472400547200018085529766016509821875}{38490540358763841768752203193585553364543602688}\cdot t^5+\frac{156305546526520048008250012199374274085189841817616721753332490990047469546875}{76981080717527683537504406387171106729087205376}\cdot t^3-\frac{13250468592817984083713901914994696499211439223242558191223105000570755671875}{153962161435055367075008812774342213458174410752}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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