Rule: Q[9, 20]

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.

• $P_1$:
  $\frac{12155}{128}\cdot t^9-\frac{6435}{32}\cdot t^7+\frac{9009}{64}\cdot t^5-\frac{1155}{32}\cdot t^3+\frac{315}{128}\cdot t$
• $P_2$:
  $\frac{12155}{128}\cdot t^{29}-\frac{244014633090302421629301305}{349294903921772996851776}\cdot t^{27}+\frac{176616008777195625461371496091}{76612015593508877309489536}\cdot t^{25}-\frac{86278199025636288266268452175}{19153003898377219327372384}\cdot t^{23}+\frac{25728928849886766674677062841275}{4440165947223797106676067456}\cdot t^{21}-\frac{67098897556396998892250498283825}{13003343131155405812408483264}\cdot t^{19}+\frac{1101031846775937479467226446949475}{338086921410040551122620564864}\cdot t^{17}-\frac{61965978325211245397727876591345}{42260865176255068890327570608}\cdot t^{15}+\frac{282885029828680964891580992925}{604806657263042130809696896}\cdot t^{13}-\frac{3836923921427266974234709223034225}{37046524580661751159551768819136}\cdot t^{11}+\frac{3203240424348937495963958627717425}{208807684000093506535655424253312}\cdot t^9-\frac{74612036349961976487742739115975}{52201921000023376633913856063328}\cdot t^7+\frac{2252802781353401756241941704005}{29829669142870500933665060607616}\cdot t^5-\frac{27848770737273997643673214725}{14914834571435250466832530303808}\cdot t^3+\frac{9431154181143938999411544825}{686082390286021521474296393975168}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.