Rule: Q[4, 37]

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.

• $P_1$:
  $\frac{35}{8}\cdot t^4-\frac{15}{4}\cdot t^2+\frac{3}{8}$
• $P_2$:
  $\frac{35}{8}\cdot t^{41}-\frac{3054385351742732032870925925}{71372062536601267556954872}\cdot t^{39}+\frac{48337689337715640299007036297}{249802218878104436449342052}\cdot t^{37}-\frac{19569900031505495532599476492599}{36471123956203247721603939592}\cdot t^{35}+\frac{22214601486904736600229083042745}{21760082360423786455746888328}\cdot t^{33}-\frac{9569551840381551837707262621}{6774620909222847588962294}\cdot t^{31}+\frac{24356378346250876807392170074545}{16567335433504473778807289977}\cdot t^{29}-\frac{894844947744507929760487709362809}{762097429941205793825135338942}\cdot t^{27}+\frac{1109329822909068002551025235264681}{1524194859882411587650270677884}\cdot t^{25}-\frac{228971139124439066879853696850968225}{650831205169789747926665579456468}\cdot t^{23}+\frac{110663932144664071814301062275797495}{834761763152556415818984112781122}\cdot t^{21}-\frac{9239560843891369896509680275814575}{238503360900730404519709746508892}\cdot t^{19}+\frac{22800698874666468435434951751116445}{2623536969908034449716807211597812}\cdot t^{17}-\frac{102444216861819292189478595788975235}{69523729702562912917495391107342018}\cdot t^{15}+\frac{6417470467902377378419180520334525}{34761864851281456458747695553671009}\cdot t^{13}-\frac{8058398336485616972549956565473245}{486666107917940390422467737751394126}\cdot t^{11}+\frac{59176227143646698246325212584205475}{58222963456364504890542503898257697256}\cdot t^9-\frac{2325780761455226123717111749331415}{58222963456364504890542503898257697256}\cdot t^7+\frac{2750055170405314610520157081010145}{3040070449043032362499040739259026906724}\cdot t^5-\frac{59324238372469303094165865998775}{6080140898086064724998081478518053813448}\cdot t^3+\frac{195193820611763725051056763485}{6080140898086064724998081478518053813448}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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