Rule: Q[1, 28]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{29}+\frac{90690859365197548621069879041151}{111242804560188914863505845071}\cdot t^{28}-\frac{34427995877348278178037086212015672}{111242804560188914863505845071}\cdot t^{27}+\frac{299746573951852055669533018559101368}{4120103872599589439389105373}\cdot t^{26}-\frac{48949360266279263707507752144500425272}{4120103872599589439389105373}\cdot t^{25}+\frac{5905193691836941250858053019064089919000}{4120103872599589439389105373}\cdot t^{24}-\frac{546404865637341555674653153926300161184000}{4120103872599589439389105373}\cdot t^{23}+\frac{39743855914008591631458238904839261155168000}{4120103872599589439389105373}\cdot t^{22}-\frac{2310804490982139899036527355366368669973424000}{4120103872599589439389105373}\cdot t^{21}+\frac{108638179259171240214121731592508139962900016000}{4120103872599589439389105373}\cdot t^{20}-\frac{4161877538408705015018144910882568603884090240000}{4120103872599589439389105373}\cdot t^{19}+\frac{130558206748059301104652983769217908267276083840000}{4120103872599589439389105373}\cdot t^{18}-\frac{3362341312861597915889273992049367393518524202880000}{4120103872599589439389105373}\cdot t^{17}+\frac{71129814736838220681876395004102078095703977466240000}{4120103872599589439389105373}\cdot t^{16}-\frac{1234508720866168882689105703953423266829292194447360000}{4120103872599589439389105373}\cdot t^{15}+\frac{17525369583880868807929931346048985155771389156966400000}{4120103872599589439389105373}\cdot t^{14}-\frac{202530577345922753600160144876758611036516593615974400000}{4120103872599589439389105373}\cdot t^{13}+\frac{1892555221287795415719834623481558765388640602352332800000}{4120103872599589439389105373}\cdot t^{12}-\frac{14173745859917222953434029512565078944961165251237478400000}{4120103872599589439389105373}\cdot t^{11}+\frac{84108054941756946963907117184768432620231467774863769600000}{4120103872599589439389105373}\cdot t^{10}-\frac{389758641772836844016566547894954180849603889485549568000000}{4120103872599589439389105373}\cdot t^9+\frac{1384625605513714533823876109483398194592480268944723968000000}{4120103872599589439389105373}\cdot t^8-\frac{3682607854265104908088090904770415310693161038593785856000000}{4120103872599589439389105373}\cdot t^7+\frac{7109716669771852576613139350484345200815093035173019648000000}{4120103872599589439389105373}\cdot t^6-\frac{9560816214164026827905736247078012761751916656099786752000000}{4120103872599589439389105373}\cdot t^5+\frac{8457057423670274790891763468429507722281193759440044032000000}{4120103872599589439389105373}\cdot t^4-\frac{4525106851185552463924794270634463189421828223249416192000000}{4120103872599589439389105373}\cdot t^3+\frac{1281956890806722198331039571514358490941486762281140224000000}{4120103872599589439389105373}\cdot t^2-\frac{150792118745465748860068721831032750296528207163686912000000}{4120103872599589439389105373}\cdot t+\frac{4084397889801961998571046966108867060147330729115648000000}{4120103872599589439389105373}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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