Rule: Q[2, 69]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{71}-\frac{85266651010580523429007702201744820622010371893}{35236959593376964507038384782516353459077539}\cdot t^{69}+\frac{97323173567289427238063346370812517899603918642183}{35236959593376964507038384782516353459077539}\cdot t^{67}-\frac{1040914220490846905432907238648761973305486381592647}{525924770050402455328931116156960499389217}\cdot t^{65}+\frac{525862236505585257848501186953664849851971422223066120}{525924770050402455328931116156960499389217}\cdot t^{63}-\frac{199381410005826306774960472191775638782336125102613535480}{525924770050402455328931116156960499389217}\cdot t^{61}+\frac{58975114281934158609460396131632185099810124868893720568840}{525924770050402455328931116156960499389217}\cdot t^{59}-\frac{13966379336312600491360925478115180204970604105132846461236440}{525924770050402455328931116156960499389217}\cdot t^{57}+\frac{2696752369901631252700587239003110843668680013903706795074710220}{525924770050402455328931116156960499389217}\cdot t^{55}-\frac{430189990264468286716820524445170134013544543957512768986903858900}{525924770050402455328931116156960499389217}\cdot t^{53}+\frac{57244302682434070026502484483875157681638098838561937733177017240700}{525924770050402455328931116156960499389217}\cdot t^{51}-\frac{6399158318244647539351777581044316853878858489792521388404301861304500}{525924770050402455328931116156960499389217}\cdot t^{49}+\frac{603991792178665731366449729861031471331103495828578363058109682613367000}{525924770050402455328931116156960499389217}\cdot t^{47}-\frac{48301247751697987706955054044529015550125172868442022314373707940555641000}{525924770050402455328931116156960499389217}\cdot t^{45}+\frac{3279605170642966618274517883001096648112023623257754813246268357988477855000}{525924770050402455328931116156960499389217}\cdot t^{43}-\frac{189246050866434847171744288045772017235804783339275990522561835598867370005000}{525924770050402455328931116156960499389217}\cdot t^{41}+\frac{9279318361083359076072333226162498333082369408619800990994538697399954123373750}{525924770050402455328931116156960499389217}\cdot t^{39}-\frac{386182027759358340343131989545563115298637650605080307857145143552073238275736250}{525924770050402455328931116156960499389217}\cdot t^{37}+\frac{13612112906791196256646169575683598955739226022650702559658313124817270091196358750}{525924770050402455328931116156960499389217}\cdot t^{35}-\frac{405085106208381562250257423432521619685798478362289108869386435959666266730701756250}{525924770050402455328931116156960499389217}\cdot t^{33}+\frac{10134858368861698550003169236456195603791645848907957800560825788953027378511978875000}{525924770050402455328931116156960499389217}\cdot t^{31}-\frac{212028262820347028253275583802220309917303262814711412097189528375497731982383123525000}{525924770050402455328931116156960499389217}\cdot t^{29}+\frac{3684298757911596226233240118711895144307425146539232999812548781737111010766927555275000}{525924770050402455328931116156960499389217}\cdot t^{27}-\frac{52737174695079680849179585075231820402388646625451877384946467301322653471152054866825000}{525924770050402455328931116156960499389217}\cdot t^{25}+\frac{615609332579725567203474799887385077640201912138867161289854822538650051572718995637187500}{525924770050402455328931116156960499389217}\cdot t^{23}-\frac{5788680292486065852777112437703848690535522903571008855310933494564961379731097531043312500}{525924770050402455328931116156960499389217}\cdot t^{21}+\frac{43190491124835187797906253042882526270152404454703970309899715340697872687873790519616937500}{525924770050402455328931116156960499389217}\cdot t^{19}-\frac{250966293132279010150649992050379226662485118153835863249875565555067978339643921596393812500}{525924770050402455328931116156960499389217}\cdot t^{17}+\frac{1109336501540066035870721852979773822315643372649702442037114250625859134520042444285323625000}{525924770050402455328931116156960499389217}\cdot t^{15}-\frac{3619581235377640426069658385519279209945437861999352502426119110287784458482431492612314375000}{525924770050402455328931116156960499389217}\cdot t^{13}+\frac{8378758116362418912365428230097553495434530650211503127231950738294425952247554544691160625000}{525924770050402455328931116156960499389217}\cdot t^{11}-\frac{13034299230350435465555998586499159918567766363140578585438049949717215393040106337821506875000}{525924770050402455328931116156960499389217}\cdot t^9+\frac{12603442350548974307094194505517105864196455478942535494736355872929295737717096116460791640625}{525924770050402455328931116156960499389217}\cdot t^7-\frac{6709371497152360091642294018959872521820837872314858233271303533362460827986228020009701484375}{525924770050402455328931116156960499389217}\cdot t^5+\frac{1587756055708799515146286280173728728093134888725377878845299107579386846301533252005023828125}{525924770050402455328931116156960499389217}\cdot t^3-\frac{103042933151280922975271916459365113341491076580278437215379757937244614962962977150196484375}{525924770050402455328931116156960499389217}\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.