Rule: Q[2, 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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{26}-\frac{32383677723060300373296059845926712039222}{102932287663886812292693059653717801323}\cdot t^{25}+\frac{103350900197601675777053891001995098315335913}{1132255164302754935219623656190895814553}\cdot t^{24}-\frac{18372571354219040594710810469765653911108765888}{1132255164302754935219623656190895814553}\cdot t^{23}+\frac{2243068821391217420041803436563257640306866627376}{1132255164302754935219623656190895814553}\cdot t^{22}-\frac{18164738567401796968442668173969601559378617366848}{102932287663886812292693059653717801323}\cdot t^{21}+\frac{1224451005924526728835639374069377218190047183552992}{102932287663886812292693059653717801323}\cdot t^{20}-\frac{63934004419275621842762757292397117284436443191759360}{102932287663886812292693059653717801323}\cdot t^{19}+\frac{2625734786558673967915266081864594721494522383622788160}{102932287663886812292693059653717801323}\cdot t^{18}-\frac{85661024075248112398058505644061924032834934375183909120}{102932287663886812292693059653717801323}\cdot t^{17}+\frac{2232944207693451014309662012125720251043671903353876536960}{102932287663886812292693059653717801323}\cdot t^{16}-\frac{46634735888104403647682476883989324514376796803591761264640}{102932287663886812292693059653717801323}\cdot t^{15}+\frac{780340318154302118436643227300208457279693610041099274854400}{102932287663886812292693059653717801323}\cdot t^{14}-\frac{10436136318812330517049272944614129953747543804654309848678400}{102932287663886812292693059653717801323}\cdot t^{13}+\frac{111012444908611004505879349040654315555598444364083473622220800}{102932287663886812292693059653717801323}\cdot t^{12}-\frac{932371682181238227345955350822204696640312644148451486525030400}{102932287663886812292693059653717801323}\cdot t^{11}+\frac{6120752820536794647665436191199159559482760071393868921143705600}{102932287663886812292693059653717801323}\cdot t^{10}-\frac{30991643661698238748304631130413017251515495064094552046280704000}{102932287663886812292693059653717801323}\cdot t^9+\frac{118973134915182315342604605269278671304420234585039742126936064000}{102932287663886812292693059653717801323}\cdot t^8-\frac{338701955082325177696370191523080436719726143158799884753829888000}{102932287663886812292693059653717801323}\cdot t^7+\frac{694866796359959325733717823849943209419990045292043428064067584000}{102932287663886812292693059653717801323}\cdot t^6-\frac{989112804809463838849102630328253438456791230597380727153360896000}{102932287663886812292693059653717801323}\cdot t^5+\frac{927597680431909921053668378096417452602747211185089037609861120000}{102932287663886812292693059653717801323}\cdot t^4-\frac{531794216793051003280096022193991059237270825935626344616427520000}{102932287663886812292693059653717801323}\cdot t^3+\frac{165537741462109744480844619480209713455824519020093175597629440000}{102932287663886812292693059653717801323}\cdot t^2-\frac{22452277453612780421758639571780565469940817102000915999621120000}{102932287663886812292693059653717801323}\cdot t+\frac{761783441023412465818317796018480673279343528172907861114880000}{102932287663886812292693059653717801323}$

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.