Rule: Q[1, 25]

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^{26}+\frac{4140972253716543832520800751}{6370314939029062417031376}\cdot t^{25}-\frac{1242378627702950459727622289375}{6370314939029062417031376}\cdot t^{24}+\frac{4762813704477923887169977376250}{132714894563105467021487}\cdot t^{23}-\frac{602545930779550074960546824938750}{132714894563105467021487}\cdot t^{22}+\frac{55680303716935408493589248932864750}{132714894563105467021487}\cdot t^{21}-\frac{3898010858079162175228321043056899750}{132714894563105467021487}\cdot t^{20}+\frac{211629679597918390067304702259899450000}{132714894563105467021487}\cdot t^{19}-\frac{9048279156808009380306935832216348150000}{132714894563105467021487}\cdot t^{18}+\frac{307683684783358250717762891098370410275000}{132714894563105467021487}\cdot t^{17}-\frac{8370287345735053932215359065647921098635000}{132714894563105467021487}\cdot t^{16}+\frac{182656377046831811925815169828141087192960000}{132714894563105467021487}\cdot t^{15}-\frac{3197125115662714867705912185363470653968000000}{132714894563105467021487}\cdot t^{14}+\frac{44770066130205947639488217503389384686256000000}{132714894563105467021487}\cdot t^{13}-\frac{38384656908247323182595347625491696690352000000}{10208838043315805155499}\cdot t^{12}+\frac{337892251706227014719535706950655204394419200000}{10208838043315805155499}\cdot t^{11}-\frac{2323894215517927934576555330017962786746035200000}{10208838043315805155499}\cdot t^{10}+\frac{12308695750044200413744834566009385825054560000000}{10208838043315805155499}\cdot t^9-\frac{49263414869040887808441752358314869246919520000000}{10208838043315805155499}\cdot t^8+\frac{145305933011815995806422734044926323473157120000000}{10208838043315805155499}\cdot t^7-\frac{305446258522866210590225777357835221970207744000000}{10208838043315805155499}\cdot t^6+\frac{436959396285914111065227182238173059596309504000000}{10208838043315805155499}\cdot t^5-\frac{398064358072792699323128445298766261478220800000000}{10208838043315805155499}\cdot t^4+\frac{208406224444427699401959590108818624984473600000000}{10208838043315805155499}\cdot t^3-\frac{52461792314331374728044880764544509222297600000000}{10208838043315805155499}\cdot t^2+\frac{4283400073920377948856786438125125452066816000000}{10208838043315805155499}\cdot t-\frac{6650514521066766970245844381658824175616000000}{10208838043315805155499}$

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.