Rule: Q[24, 39]

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.

• $P_1$:
  $t^{24}-276\cdot t^{22}+31878\cdot t^{20}-2018940\cdot t^{18}+77224455\cdot t^{16}-1853386920\cdot t^{14}+28109701620\cdot t^{12}-265034329560\cdot t^{10}+1490818103775\cdot t^8-4638100767300\cdot t^6+6957151150950\cdot t^4-3794809718700\cdot t^2+316234143225$
• $P_2$:
  $t^{63}-\frac{2151977065208028892643392278423769935753}{1510048018601572117403227320260766503}\cdot t^{61}+\frac{35775295282129932718259622842262682396207467}{37751200465039302935080683006519162575}\cdot t^{59}-\frac{14769275579909983400235467197201696567614216837}{37751200465039302935080683006519162575}\cdot t^{57}+\frac{326830122028872174892850799676861065238987440327}{2903938497310715610390821769732243275}\cdot t^{55}-\frac{181256806274528320673847824643686217109924521898689}{7550240093007860587016136601303832515}\cdot t^{53}+\frac{5956559214019295811079085923442488845359188820635863}{1510048018601572117403227320260766503}\cdot t^{51}-\frac{3866347165353921009353716598729352396676073541269123853}{7550240093007860587016136601303832515}\cdot t^{49}+\frac{403559621050515357163067839792608477788622400946171676423}{7550240093007860587016136601303832515}\cdot t^{47}-\frac{34289343862852260785425834619135479304065681012416393159369}{7550240093007860587016136601303832515}\cdot t^{45}+\frac{478497501775909788045198068541209832217155391324377600482199}{1510048018601572117403227320260766503}\cdot t^{43}-\frac{27581692728172899054222526871331424045990182804040349895355641}{1510048018601572117403227320260766503}\cdot t^{41}+\frac{101425386995404285894021527535444796311134788468792498381796387}{116157539892428624415632870789289731}\cdot t^{39}-\frac{4029431029816273182282148062985729255201304573926656405399467997}{116157539892428624415632870789289731}\cdot t^{37}+\frac{133103534473920772565378074024140672221185341017585502001528713111}{116157539892428624415632870789289731}\cdot t^{35}-\frac{3652424937795659289219536018662670918687780098207679732095753510665}{116157539892428624415632870789289731}\cdot t^{33}+\frac{83064285884887270422561128475146689245837936903079478655070156072665}{116157539892428624415632870789289731}\cdot t^{31}-\frac{1559825666967502293945016941071008437513747578196137576942007968318775}{116157539892428624415632870789289731}\cdot t^{29}+\frac{24060852617817829584426414285582390297652638252955645529778649642345725}{116157539892428624415632870789289731}\cdot t^{27}-\frac{302799570547377845849197556716845144957922204988615813200370986439070675}{116157539892428624415632870789289731}\cdot t^{25}+\frac{3082004860011160997244531395140282767763752403559803776407128304356138125}{116157539892428624415632870789289731}\cdot t^{23}-\frac{25096088705601697414907885242661378520790819137427473308566214473542145875}{116157539892428624415632870789289731}\cdot t^{21}+\frac{161268595677480969890708749298723996416437652314577958376897317773662467625}{116157539892428624415632870789289731}\cdot t^{19}-\frac{803960236799961594710396737858662529437634510254924894110658493467188796375}{116157539892428624415632870789289731}\cdot t^{17}+\frac{3042597447560460313719574662837154234883172863301581338188432559986234724125}{116157539892428624415632870789289731}\cdot t^{15}-\frac{8500401519848579700989480420553431870521293647782994574147799652603719081875}{116157539892428624415632870789289731}\cdot t^{13}+\frac{16895079565528129109466456256861370250961344859296956484774680470819669070625}{116157539892428624415632870789289731}\cdot t^{11}-\frac{22707227585737486439951828246930157869875340715622291184219871099166287759375}{116157539892428624415632870789289731}\cdot t^9+\frac{19175156711431571808869328229222865573438096009221943318990249039932531640625}{116157539892428624415632870789289731}\cdot t^7-\frac{9068509918891233709451080384914283469316796206820354612914263965363526559375}{116157539892428624415632870789289731}\cdot t^5+\frac{45586592451464082201712359826725333658291524270004786629810068114350734375}{2701338137033223823619369088123017}\cdot t^3-\frac{122862490700363325562096551579474485114697396887964807033866758769290921875}{116157539892428624415632870789289731}\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.