Rule: Q[44]

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}{2658271574788448768043625811014615890319638528000000000}\cdot t^{44}-\frac{1}{1373074160531223537212616637920772670619648000000000}\cdot t^{43}+\frac{43}{63863914443312722661051936647477798633472000000000}\cdot t^{42}-\frac{43}{108612099393388984117435266407275167744000000000}\cdot t^{41}+\frac{1763}{10596302379842827718774172332417089536000000000}\cdot t^{40}-\frac{1763}{33113444937008836621169288538803404800000000}\cdot t^{39}+\frac{1763}{130625029337312964975026779245772800000000}\cdot t^{38}-\frac{1763}{633223826427417420239049483878400000000}\cdot t^{37}+\frac{65231}{136913259768090253024659347865600000000}\cdot t^{36}-\frac{65231}{950786526167293423782356582400000000}\cdot t^{35}+\frac{65231}{7761522662590150398223319040000000}\cdot t^{34}-\frac{65231}{73855319453712503789322240000000}\cdot t^{33}+\frac{65231}{813832721253030344785920000000}\cdot t^{32}-\frac{65231}{10331860719032611799040000000}\cdot t^{31}+\frac{2022161}{4666001615046985973760000000}\cdot t^{30}-\frac{2022161}{77766693584116432896000000}\cdot t^{29}+\frac{58642669}{42905761977443549184000000}\cdot t^{28}-\frac{58642669}{930354532674158592000000}\cdot t^{27}+\frac{58642669}{22971716856152064000000}\cdot t^{26}-\frac{58642669}{645654763708416000000}\cdot t^{25}+\frac{58642669}{20660952438669312000}\cdot t^{24}-\frac{58642669}{753263890993152000}\cdot t^{23}+\frac{1348781387}{720513287036928000}\cdot t^{22}-\frac{58642669}{1488663816192000}\cdot t^{21}+\frac{58642669}{81015717888000}\cdot t^{20}-\frac{58642669}{5063482368000}\cdot t^{19}+\frac{1114210711}{6928975872000}\cdot t^{18}-\frac{1114210711}{577414656000}\cdot t^{17}+\frac{18941582087}{951035904000}\cdot t^{16}-\frac{653158003}{3714984000}\cdot t^{15}+\frac{653158003}{495331200}\cdot t^{14}-\frac{21069613}{2527200}\cdot t^{13}+\frac{273904969}{6220800}\cdot t^{12}-\frac{273904969}{1425600}\cdot t^{11}+\frac{177232627}{259200}\cdot t^{10}-\frac{177232627}{90720}\cdot t^9+\frac{177232627}{40320}\cdot t^8-\frac{4790071}{630}\cdot t^7+\frac{1764763}{180}\cdot t^6-\frac{135751}{15}\cdot t^5+\frac{135751}{24}\cdot t^4-\frac{6622}{3}\cdot t^3+473\cdot t^2-44\cdot t+1$

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.