Rule: Q[2, 26]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{28}-\frac{582460197494267451069250148465566204469251543}{1577781662339581922781949847515904637793237}\cdot t^{27}+\frac{4790248151984585283105014228234211455252042762437}{37866759896149966146766796340381711307037688}\cdot t^{26}-\frac{253230341003917351285412471039156397152038994348953}{9466689974037491536691699085095427826759422}\cdot t^{25}+\frac{74118062653850661865068987096972607295558372997368125}{18933379948074983073383398170190855653518844}\cdot t^{24}-\frac{39122298416531636058236587859528544216548554119734000}{92810686019975407222467638089170861046661}\cdot t^{23}+\frac{54692255334813040343069243863594121671543066889764856500}{1577781662339581922781949847515904637793237}\cdot t^{22}-\frac{3519155661698046961833655942899471755397364177691911634000}{1577781662339581922781949847515904637793237}\cdot t^{21}+\frac{180099767468826590711726750991558368163647186292800919159000}{1577781662339581922781949847515904637793237}\cdot t^{20}-\frac{7412376269413562626202125529056175897475060330797405402400000}{1577781662339581922781949847515904637793237}\cdot t^{19}+\frac{247131858393087272664623133227160017008313785165305038663730000}{1577781662339581922781949847515904637793237}\cdot t^{18}-\frac{6703716007851751112933281510735751939689951413064528159169640000}{1577781662339581922781949847515904637793237}\cdot t^{17}+\frac{8720044355122180130031950543364089887602649869401961907132020000}{92810686019975407222467638089170861046661}\cdot t^{16}-\frac{157173730200865365776980991025024914648970283896611919200363520000}{92810686019975407222467638089170861046661}\cdot t^{15}+\frac{2304390352682328291422213811139100284316903181682286105599008000000}{92810686019975407222467638089170861046661}\cdot t^{14}-\frac{27373389070245811952754115605598840482334284096237757945361126400000}{92810686019975407222467638089170861046661}\cdot t^{13}+\frac{261892420937090626653594370467652173868301075892155706146667763200000}{92810686019975407222467638089170861046661}\cdot t^{12}-\frac{2001831008390657421704552041281244981226034532253223678105563443200000}{92810686019975407222467638089170861046661}\cdot t^{11}+\frac{12096354324942010426467078117096289372259180519135860967036018803200000}{92810686019975407222467638089170861046661}\cdot t^{10}-\frac{57006667697383654987447804880911632990528836676590954146012596480000000}{92810686019975407222467638089170861046661}\cdot t^9+\frac{205942297551580995593972040888139386839818770005281692278981132928000000}{92810686019975407222467638089170861046661}\cdot t^8-\frac{557833820407116064998215091535156574599868640202114628482326503424000000}{92810686019975407222467638089170861046661}\cdot t^7+\frac{1100775223641609548411208024079860308846078253152130059701221218304000000}{92810686019975407222467638089170861046661}\cdot t^6-\frac{1522788824931433801121876862893946333372811844047954121765676539904000000}{92810686019975407222467638089170861046661}\cdot t^5+\frac{1400218964244904812530529961559779804503900549843263215647684710400000000}{92810686019975407222467638089170861046661}\cdot t^4-\frac{791477777461203079635254782055434445393425283935814584113475878912000000}{92810686019975407222467638089170861046661}\cdot t^3+\frac{242724970726505030629060867581054346308921239587043466740996775936000000}{92810686019975407222467638089170861046661}\cdot t^2-\frac{32067857317752484097383026406893678976728439821194260722875006976000000}{92810686019975407222467638089170861046661}\cdot t+\frac{1032657541367545422247193481971142242102664719880284721574526976000000}{92810686019975407222467638089170861046661}$

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.