Rule: Q[1, 10, 24]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{11}-\frac{55}{21}\cdot t^9+\frac{330}{133}\cdot t^7-\frac{330}{323}\cdot t^5+\frac{55}{323}\cdot t^3-\frac{33}{4199}\cdot t$
• $P_3$:
  $t^{35}-\frac{237165281317129372316317783200485}{26769156514149280200359777945187}\cdot t^{33}+\frac{6086180992195950587345624822861160}{169537991256278774602278593652851}\cdot t^{31}-\frac{761857138334573340601895363203933960}{8646437554070217504716208276295401}\cdot t^{29}+\frac{3820535963381944993226272034218603152460}{26120887850846127081747665202688406421}\cdot t^{27}-\frac{1696563929987694033542938549444008719367276}{9772114377088767764916043193050207157723}\cdot t^{25}+\frac{1236707416409205637637344897670896953866328600}{8140171276114943548175063979810822562383259}\cdot t^{23}-\frac{810736343921149529609363717042455461599852200}{8140171276114943548175063979810822562383259}\cdot t^{21}+\frac{3011830774851131589525836743349846887414650}{61204295309134913896053112630156560619423}\cdot t^{19}-\frac{65843116865791839556403285498724654384150}{3600252665243230229179594860597444742319}\cdot t^{17}+\frac{32140080398260895064776115092631664344500520}{6347245448823814894043625739233295080708397}\cdot t^{15}-\frac{12092846330526065604730098838497481407150600}{11787741547815656231795304944290405149887023}\cdot t^{13}+\frac{1631613070138595467141439582604557105268945700}{11037859835504614100741865160526700145351902383}\cdot t^{11}-\frac{3362922612117659364504078584931787443125518700}{231795056545596896115579168371060703052389950043}\cdot t^9+\frac{70131278364452098487884095302030928052380600}{77265018848532298705193056123686901017463316681}\cdot t^7-\frac{358755682971016063551524564068440648648120}{11037859835504614100741865160526700145351902383}\cdot t^5+\frac{6044984085386878249280574738043196352175}{11037859835504614100741865160526700145351902383}\cdot t^3-\frac{30402879771025969753908495838363719225}{11037859835504614100741865160526700145351902383}\cdot t$

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.