Rule: Q[1, 4, 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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^5-10\cdot t^3+\frac{15}{2}\cdot t$
• $P_3$:
  $2\cdot t^{49}-\frac{61590049535862924641497219533608}{56494332485152163715384612507}\cdot t^{47}+\frac{307852749100768046199020543858468747}{1129886649703043274307692250140}\cdot t^{45}-\frac{3123663287437107917876100337863411291}{75325776646869551620512816676}\cdot t^{43}+\frac{31645585854122679237800228646697320273}{7348856258231175767854908944}\cdot t^{41}-\frac{1190355815632491372933685746980864831895}{3674428129115587883927454472}\cdot t^{39}+\frac{537963214392409965951508079452412224196295}{29395425032924703071419635776}\cdot t^{37}-\frac{23344823251379959524798027835688605429205103}{29395425032924703071419635776}\cdot t^{35}+\frac{3158428926537925909642707700934876483123994645}{117581700131698812285678543104}\cdot t^{33}-\frac{10502879198275793312688328170630311352880210455}{14697712516462351535709817888}\cdot t^{31}+\frac{3533469931471329402486110183919952499429498153625}{235163400263397624571357086208}\cdot t^{29}-\frac{58820055816544960334901304757686828631402507512875}{235163400263397624571357086208}\cdot t^{27}+\frac{3096852148562811384110219462735397508296135471599205}{940653601053590498285428344832}\cdot t^{25}-\frac{16051953839119144441433955380084837941166924020564125}{470326800526795249142714172416}\cdot t^{23}+\frac{1041511817189199704855112129649349139399274473042735375}{3762614404214361993141713379328}\cdot t^{21}-\frac{6545308313033308849628520348806650658834784128157241875}{3762614404214361993141713379328}\cdot t^{19}+\frac{62911599183955899479014856536513732256053680803220864375}{7525228808428723986283426758656}\cdot t^{17}-\frac{28396976294352118182651606062659946255289498907565332875}{940653601053590498285428344832}\cdot t^{15}+\frac{9632007991160519811330377225600717806909571862343186310625}{120403660934859583780534828138496}\cdot t^{13}-\frac{18134813288825223363929480956006184305339231150481418474375}{120403660934859583780534828138496}\cdot t^{11}+\frac{92689299230875297371975534133246598268480133935574534603125}{481614643739438335122139312553984}\cdot t^9-\frac{37535905358280810341528099566431683259284703002806855134375}{240807321869719167561069656276992}\cdot t^7+\frac{138149857479073923452261846983608002763684475430027209756875}{1926458574957753340488557250215936}\cdot t^5-\frac{29601355885806575564973518171682031015105879875050905096875}{1926458574957753340488557250215936}\cdot t^3+\frac{7465654899722296102680431273677860245955743092686350728125}{7705834299831013361954229000863744}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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