Rule: Q[1, 26]

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^{27}+\frac{116255489609211944856574390901}{165360645067102361392409425}\cdot t^{26}-\frac{37843517310003118671231821110226}{165360645067102361392409425}\cdot t^{25}+\frac{303272326100771666507845817465950}{6614425802684094455696377}\cdot t^{24}-\frac{41930209145018497548781410097922400}{6614425802684094455696377}\cdot t^{23}+\frac{4252017712475437587741813778463138400}{6614425802684094455696377}\cdot t^{22}-\frac{328137423324238729542352719064331008320}{6614425802684094455696377}\cdot t^{21}+\frac{2819508760579129443061792139993719671360}{944917971812013493670911}\cdot t^{20}-\frac{134289035562005516012120490420423013392000}{944917971812013493670911}\cdot t^{19}+\frac{5118283394146077345942849550739863955664000}{944917971812013493670911}\cdot t^{18}-\frac{157142733324283443407744861537561436122784000}{944917971812013493670911}\cdot t^{17}+\frac{3900267406546329132109642174127519994883065600}{944917971812013493670911}\cdot t^{16}-\frac{78335288268220752992143249156751873644495257600}{944917971812013493670911}\cdot t^{15}+\frac{1271507397636689154795244591132788243429550080000}{944917971812013493670911}\cdot t^{14}-\frac{16620964207296883109247522794505116817553551360000}{944917971812013493670911}\cdot t^{13}+\frac{173966626617195996712007600128170166691918991360000}{944917971812013493670911}\cdot t^{12}-\frac{1446033508489623993538437990944244155154611736576000}{944917971812013493670911}\cdot t^{11}+\frac{9440614862844856824525042192289986707053897568256000}{944917971812013493670911}\cdot t^{10}-\frac{47715964316823734907091646285492158583700816076800000}{944917971812013493670911}\cdot t^9+\frac{183247870055013657048030405879959772230804120985600000}{944917971812013493670911}\cdot t^8-\frac{521840160408892032059070665147554778861606820249600000}{944917971812013493670911}\cdot t^7+\frac{1067003318830727510317036073451556002030827724472320000}{944917971812013493670911}\cdot t^6-\frac{1499530249157520456812030064368974123720210148229120000}{944917971812013493670911}\cdot t^5+\frac{1362016377718612140727076293872472597360644685824000000}{944917971812013493670911}\cdot t^4-\frac{729405714380236146467963997359692359002446430208000000}{944917971812013493670911}\cdot t^3+\frac{198288183701303111682435767569585075115206705152000000}{944917971812013493670911}\cdot t^2-\frac{20613893880880186251754537859950907844543491604480000}{944917971812013493670911}\cdot t+\frac{397107901710195496241442875269383059053325844480000}{944917971812013493670911}$

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.