Rule: Q[43]

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}{60415263063373835637355132068513997507264512000000000}\cdot t^{43}+\frac{43}{1405006117752879898543142606244511569936384000000000}\cdot t^{42}-\frac{43}{1592977457769705100389050573973369126912000000000}\cdot t^{41}+\frac{1763}{116559326178271104906515895656587984896000000000}\cdot t^{40}-\frac{1763}{291398315445677762266289739141469962240000000}\cdot t^{39}+\frac{1763}{957916881806961743150196381135667200000000}\cdot t^{38}-\frac{1763}{3980264051829480927216882470092800000000}\cdot t^{37}+\frac{65231}{753022928724496391635626413260800000000}\cdot t^{36}-\frac{65231}{4648289683484545627380409958400000000}\cdot t^{35}+\frac{65231}{34150699715396661752182603776000000}\cdot t^{34}-\frac{65231}{295421277814850015157288960000000}\cdot t^{33}+\frac{65231}{2984053311261111264215040000000}\cdot t^{32}-\frac{65231}{34969374741341147627520000000}\cdot t^{31}+\frac{2022161}{14664576504433384488960000000}\cdot t^{30}-\frac{2022161}{228115634513408203161600000}\cdot t^{29}+\frac{58642669}{117990845437969760256000000}\cdot t^{28}-\frac{58642669}{2407976437509586944000000}\cdot t^{27}+\frac{58642669}{56153085648371712000000}\cdot t^{26}-\frac{58642669}{1495200505430016000000}\cdot t^{25}+\frac{58642669}{45454095365072486400}\cdot t^{24}-\frac{58642669}{1578267200176128000}\cdot t^{23}+\frac{1348781387}{1441026574073856000}\cdot t^{22}-\frac{1348781387}{65501207912448000}\cdot t^{21}+\frac{58642669}{148528816128000}\cdot t^{20}-\frac{58642669}{8911728967680}\cdot t^{19}+\frac{1114210711}{11725959168000}\cdot t^{18}-\frac{1114210711}{940972032000}\cdot t^{17}+\frac{18941582087}{1494484992000}\cdot t^{16}-\frac{18941582087}{163459296000}\cdot t^{15}+\frac{653158003}{726485760}\cdot t^{14}-\frac{653158003}{111196800}\cdot t^{13}+\frac{273904969}{8553600}\cdot t^{12}-\frac{273904969}{1900800}\cdot t^{11}+\frac{273904969}{518400}\cdot t^{10}-\frac{16112057}{10368}\cdot t^9+\frac{16112057}{4480}\cdot t^8-\frac{16112057}{2520}\cdot t^7+\frac{3048227}{360}\cdot t^6-\frac{160433}{20}\cdot t^5+\frac{61705}{12}\cdot t^4-\frac{12341}{6}\cdot t^3+\frac{903}{2}\cdot t^2-43\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.