Rule: Q[6, 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.

• $P_1$:
  $t^6-15\cdot t^4+45\cdot t^2-15$
• $P_2$:
  $t^{50}-\frac{11302091699750257223815425123794855953588394}{10283796262563126106561632595159527911147}\cdot t^{48}+\frac{148166764371858755719569584110402424641304250503}{267378702826641278770602447474147725689822}\cdot t^{46}-\frac{865077759713359389774222492534474969892277782274795}{5080195353706184296641446502008806788106618}\cdot t^{44}+\frac{181522366476741794835734554009488547936334961292034915}{5080195353706184296641446502008806788106618}\cdot t^{42}-\frac{27620965516647967658771148153929696016983129359985783805}{5080195353706184296641446502008806788106618}\cdot t^{40}+\frac{243033971583649335721651675243508877354044070047360875215}{390784257977398792049342038616062060623586}\cdot t^{38}-\frac{1125320657397994934447253074161189753108226478183972502995}{20567592525126252213123265190319055822294}\cdot t^{36}+\frac{77275683253277674347754373243734564608959365136122836486225}{20567592525126252213123265190319055822294}\cdot t^{34}-\frac{4180573004581893996440079315963961989130139966859880756455825}{20567592525126252213123265190319055822294}\cdot t^{32}+\frac{89553727629345549566981456876066296772859972679497520159822575}{10283796262563126106561632595159527911147}\cdot t^{30}-\frac{3044371152392251160574408502621661566391562923499712243438093425}{10283796262563126106561632595159527911147}\cdot t^{28}+\frac{6311674854109002093840310078435222026191601739555872891331526325}{791061250966394315889356353473809839319}\cdot t^{26}-\frac{134409007435010528837492151395489656906260411855779409313528111875}{791061250966394315889356353473809839319}\cdot t^{24}+\frac{2248012864469671204005828133917522838220235231095132053870871945625}{791061250966394315889356353473809839319}\cdot t^{22}-\frac{380524233050354946543944155782354295277567364989623923696327985801875}{10283796262563126106561632595159527911147}\cdot t^{20}+\frac{3811314544216725427232601718154896461562454177948443687404329675707500}{10283796262563126106561632595159527911147}\cdot t^{18}-\frac{28897829495887660775820151991764808629334664045803356367822182967836875}{10283796262563126106561632595159527911147}\cdot t^{16}+\frac{324734879624759312968613877930689988086689246857847835099916874504959375}{20567592525126252213123265190319055822294}\cdot t^{14}-\frac{101056829246688293283558015039078676287157822026585893032890846113353125}{1582122501932788631778712706947619678638}\cdot t^{12}+\frac{282840025339085177346743262196640573889117645943509535340666997587128125}{1582122501932788631778712706947619678638}\cdot t^{10}-\frac{516906107792559986213377237959640538088629134834152397991756657023621875}{1582122501932788631778712706947619678638}\cdot t^8+\frac{564524036859985806619198623084241954382865335848226076810412839474103125}{1582122501932788631778712706947619678638}\cdot t^6-\frac{317497322877416021493557276788038777134390548449147437488603855263421875}{1582122501932788631778712706947619678638}\cdot t^4+\frac{68529262256641426691379188887060772100110756054251100895191535012703125}{1582122501932788631778712706947619678638}\cdot t^2-\frac{2351031588067984580369362913622700342502865269030033732515346147015625}{1582122501932788631778712706947619678638}$

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.