Rule: Q[5, 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.

• $P_1$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_2$:
  $t^{49}-\frac{61590049535862924641497219533608}{56494332485152163715384612507}\cdot t^{47}+\frac{307852749100768046199020543858468747}{564943324851521637153846125070}\cdot t^{45}-\frac{3123663287437107917876100337863411291}{18831444161717387905128204169}\cdot t^{43}+\frac{31645585854122679237800228646697320273}{918607032278896970981863618}\cdot t^{41}-\frac{2380711631264982745867371493961729663790}{459303516139448485490931809}\cdot t^{39}+\frac{537963214392409965951508079452412224196295}{918607032278896970981863618}\cdot t^{37}-\frac{23344823251379959524798027835688605429205103}{459303516139448485490931809}\cdot t^{35}+\frac{3158428926537925909642707700934876483123994645}{918607032278896970981863618}\cdot t^{33}-\frac{84023033586206346501506625365042490823041683640}{459303516139448485490931809}\cdot t^{31}+\frac{3533469931471329402486110183919952499429498153625}{459303516139448485490931809}\cdot t^{29}-\frac{117640111633089920669802609515373657262805015025750}{459303516139448485490931809}\cdot t^{27}+\frac{3096852148562811384110219462735397508296135471599205}{459303516139448485490931809}\cdot t^{25}-\frac{64207815356476577765735821520339351764667696082256500}{459303516139448485490931809}\cdot t^{23}+\frac{1041511817189199704855112129649349139399274473042735375}{459303516139448485490931809}\cdot t^{21}-\frac{13090616626066617699257040697613301317669568256314483750}{459303516139448485490931809}\cdot t^{19}+\frac{125823198367911798958029713073027464512107361606441728750}{459303516139448485490931809}\cdot t^{17}-\frac{908703241419267781844851394005118280169263965042090652000}{459303516139448485490931809}\cdot t^{15}+\frac{9632007991160519811330377225600717806909571862343186310625}{918607032278896970981863618}\cdot t^{13}-\frac{18134813288825223363929480956006184305339231150481418474375}{459303516139448485490931809}\cdot t^{11}+\frac{92689299230875297371975534133246598268480133935574534603125}{918607032278896970981863618}\cdot t^9-\frac{75071810716561620683056199132863366518569406005613710268750}{459303516139448485490931809}\cdot t^7+\frac{138149857479073923452261846983608002763684475430027209756875}{918607032278896970981863618}\cdot t^5-\frac{29601355885806575564973518171682031015105879875050905096875}{459303516139448485490931809}\cdot t^3+\frac{7465654899722296102680431273677860245955743092686350728125}{918607032278896970981863618}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.