Rule: Q[46]

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}{5502622159812088949850305428800254892961651752960000000000}\cdot t^{46}-\frac{1}{2600483062293047707868764380340385110095298560000000000}\cdot t^{45}+\frac{1}{2568378333128936007771619141076923565526220800000000}\cdot t^{44}-\frac{1}{3979925102989053731051062718610935277158400000000}\cdot t^{43}+\frac{43}{370225590975725928469866299405668397875200000000}\cdot t^{42}-\frac{43}{1049392264670424967318215134369808384000000000}\cdot t^{41}+\frac{1763}{153569599707867068388031483078508544000000000}\cdot t^{40}-\frac{1763}{671866998721918424197637738468474880000000}\cdot t^{39}+\frac{1763}{3533817218787210646667391129354240000000}\cdot t^{38}-\frac{1763}{22025176571388432008314764656640000000}\cdot t^{37}+\frac{65231}{5952750424699576218463449907200000000}\cdot t^{36}-\frac{65231}{50524887863962452471526195200000000}\cdot t^{35}+\frac{65231}{494937677034734228292501504000000}\cdot t^{34}-\frac{65231}{5565908132743551010209792000000}\cdot t^{33}+\frac{65231}{71554374525628754952192000000}\cdot t^{32}-\frac{65231}{1048159783090264965120000000}\cdot t^{31}+\frac{2022161}{540985694498201272320000000}\cdot t^{30}-\frac{2022161}{10218618673854912921600000}\cdot t^{29}+\frac{58642669}{6342590901013394227200000}\cdot t^{28}-\frac{58642669}{153710748876600115200000}\cdot t^{27}+\frac{58642669}{4217030147506176000000}\cdot t^{26}-\frac{58642669}{131002415824896000000}\cdot t^{25}+\frac{58642669}{4611285037036339200}\cdot t^{24}-\frac{58642669}{184131173353881600}\cdot t^{23}+\frac{1348781387}{192136876543180800}\cdot t^{22}-\frac{1348781387}{9924425441280000}\cdot t^{21}+\frac{1348781387}{585113518080000}\cdot t^{20}-\frac{1348781387}{39495162470400}\cdot t^{19}+\frac{25626846353}{58203397324800}\cdot t^{18}-\frac{883684357}{179640115200}\cdot t^{17}+\frac{15022634069}{317011968000}\cdot t^{16}-\frac{484601099}{1238328000}\cdot t^{15}+\frac{484601099}{176117760}\cdot t^{14}-\frac{484601099}{29652480}\cdot t^{13}+\frac{370577311}{4561920}\cdot t^{12}-\frac{370577311}{1108800}\cdot t^{11}+\frac{4076350421}{3628800}\cdot t^{10}-\frac{110171633}{36288}\cdot t^9+\frac{5798507}{896}\cdot t^8-\frac{446039}{42}\cdot t^7+\frac{3122273}{240}\cdot t^6-\frac{228459}{20}\cdot t^5+\frac{54395}{8}\cdot t^4-2530\cdot t^3+\frac{1035}{2}\cdot t^2-46\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.