Rule: Q[1, 30]

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^{31}+\frac{67969312940235886703858549411577869}{72576479020318191789826710781769}\cdot t^{30}-\frac{29786683293875695993962133392844078050}{72576479020318191789826710781769}\cdot t^{29}+\frac{280209365724904015388149888987955112150}{2502637207597179027235403820061}\cdot t^{28}-\frac{53406235416699222022261167748303157417400}{2502637207597179027235403820061}\cdot t^{27}+\frac{7565771245062056074747274767774205054025720}{2502637207597179027235403820061}\cdot t^{26}-\frac{827526905944281855194439497303961232576315920}{2502637207597179027235403820061}\cdot t^{25}+\frac{71664605798652267199466015247502562118964350000}{2502637207597179027235403820061}\cdot t^{24}-\frac{4999887411078400264758852284400618164283121200000}{2502637207597179027235403820061}\cdot t^{23}+\frac{284479930584653325224622680905441825758269785200000}{2502637207597179027235403820061}\cdot t^{22}-\frac{13313755356340338657434614361771250152173923878880000}{2502637207597179027235403820061}\cdot t^{21}+\frac{515516253992827660084808501524011829863871568904480000}{2502637207597179027235403820061}\cdot t^{20}-\frac{16575731744533694466476127575718602848171133591856000000}{2502637207597179027235403820061}\cdot t^{19}+\frac{443407645885100094495530908307427351565459274936112000000}{2502637207597179027235403820061}\cdot t^{18}-\frac{9870890775650792068425486735249545857439233311120672000000}{2502637207597179027235403820061}\cdot t^{17}+\frac{182649189649852271283407173958881226605785387074622355200000}{2502637207597179027235403820061}\cdot t^{16}-\frac{2801907472354655179442399522431272581731864731013116211200000}{2502637207597179027235403820061}\cdot t^{15}+\frac{35489487048242744360518468167182367411677160911015400960000000}{2502637207597179027235403820061}\cdot t^{14}-\frac{369077850191664558840147885381974429990331260370353617920000000}{2502637207597179027235403820061}\cdot t^{13}+\frac{3128408981228346525689023377468373374025675760458354590720000000}{2502637207597179027235403820061}\cdot t^{12}-\frac{21412566797413588117464465744345287827431042654882080722944000000}{2502637207597179027235403820061}\cdot t^{11}+\frac{116970060025140611011720168746719655751768742855721191215104000000}{2502637207597179027235403820061}\cdot t^{10}-\frac{502558861162091233826633491839057513951327064653584039731200000000}{2502637207597179027235403820061}\cdot t^9+\frac{1667316788494178277002348612778600332279056998604806064742400000000}{2502637207597179027235403820061}\cdot t^8-\frac{4172672987432209948075446185374139902003377356391973537382400000000}{2502637207597179027235403820061}\cdot t^7+\frac{7642369029538024535323473630543810679141367991015416568152064000000}{2502637207597179027235403820061}\cdot t^6-\frac{9839490928212347407964869944582886823570007272542013081124864000000}{2502637207597179027235403820061}\cdot t^5+\frac{8423370484461295653223938262775389258424185558961171074252800000000}{2502637207597179027235403820061}\cdot t^4-\frac{4420629268901614393121077620641245489220229383499532507545600000000}{2502637207597179027235403820061}\cdot t^3+\frac{1250039164733974236537901491334398612504818828563245996441600000000}{2502637207597179027235403820061}\cdot t^2-\frac{150421186825084947959119944421259356884126103931827472302080000000}{2502637207597179027235403820061}\cdot t+\frac{4328080161902365517629667419288136519385259055544800378880000000}{2502637207597179027235403820061}$

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.