Rule: Q[1, 29]

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^{30}+\frac{2505328863908877709434856286422231}{2864339269921328779138536663560}\cdot t^{29}-\frac{1022972377845639277169734936556814271}{2864339269921328779138536663560}\cdot t^{28}+\frac{4631451852615445561769859755141041897}{51148915534309442484616726135}\cdot t^{27}-\frac{818126192920613702032254317207339233971}{51148915534309442484616726135}\cdot t^{26}+\frac{107101422626918843298399869034238228315299}{51148915534309442484616726135}\cdot t^{25}-\frac{2158170499395223210042478216292587337452475}{10229783106861888496923345227}\cdot t^{24}+\frac{171570763397181574055448068108314553280237600}{10229783106861888496923345227}\cdot t^{23}-\frac{10947319461996511508247591249874304455755727200}{10229783106861888496923345227}\cdot t^{22}+\frac{567329860229725050347342292678419288079353295600}{10229783106861888496923345227}\cdot t^{21}-\frac{24075830836190822747675602806034680761328678044400}{10229783106861888496923345227}\cdot t^{20}+\frac{841178721318209846364851291089129851576650027376000}{10229783106861888496923345227}\cdot t^{19}-\frac{24273419939115665114130999307867131661256768240976000}{10229783106861888496923345227}\cdot t^{18}+\frac{579246701835258432418360155173242511782829077178352000}{10229783106861888496923345227}\cdot t^{17}-\frac{11426339385555480453652681070221414798366697444539056000}{10229783106861888496923345227}\cdot t^{16}+\frac{185947679652771066798773619957190129918817432554727424000}{10229783106861888496923345227}\cdot t^{15}-\frac{2487457037700870944838864604442832852358732903912335360000}{10229783106861888496923345227}\cdot t^{14}+\frac{27209698043281832794865596172622657796228397050274588160000}{10229783106861888496923345227}\cdot t^{13}-\frac{241674503398345627655082236765769268939861767129691461120000}{10229783106861888496923345227}\cdot t^{12}+\frac{1727091853905605411895020955955564006009441901125257768960000}{10229783106861888496923345227}\cdot t^{11}-\frac{9816399465908419651660930163360314625324374818174187376640000}{10229783106861888496923345227}\cdot t^{10}+\frac{43732824836609174101699921634235557210912505402574120243200000}{10229783106861888496923345227}\cdot t^9-\frac{149926914329623833583397400598378392135058241022394457395200000}{10229783106861888496923345227}\cdot t^8+\frac{386330487745531139975562621211771588282516953976518878822400000}{10229783106861888496923345227}\cdot t^7-\frac{725757456595519651064101267997859641763135091334863287091200000}{10229783106861888496923345227}\cdot t^6+\frac{954369841023235043536457545471227298727229218353440763084800000}{10229783106861888496923345227}\cdot t^5-\frac{830431677450886336096739677909169916649561447292959993036800000}{10229783106861888496923345227}\cdot t^4+\frac{440414842207754151307556116569712893392512018242687192268800000}{10229783106861888496923345227}\cdot t^3-\frac{124946364761958842774526136288306875914317450338306529689600000}{10229783106861888496923345227}\cdot t^2+\frac{14942181511329595239435756566589995126449108644142763212800000}{10229783106861888496923345227}\cdot t-\frac{421679389206070290562263604263209441007791379318453043200000}{10229783106861888496923345227}$

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.