Rule: Q[2, 3, 36]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^5-7\cdot t^3+6\cdot t$
• $P_3$:
  $t^{41}-\frac{150242670864249019283283734952440734379}{201055517588041462530306433067873447}\cdot t^{39}+\frac{50543970073899062469657084528036329598177}{201055517588041462530306433067873447}\cdot t^{37}-\frac{10149808554700615983939299074490427271306035}{201055517588041462530306433067873447}\cdot t^{35}+\frac{80016575766228661280836932349507530018219330}{11826795152237733090018025474580791}\cdot t^{33}-\frac{7581965382429899272565221568903557331526406380}{11826795152237733090018025474580791}\cdot t^{31}+\frac{525067773804616599714198858449227699470793659540}{11826795152237733090018025474580791}\cdot t^{29}-\frac{27100617512043387767226016865706587381092712535420}{11826795152237733090018025474580791}\cdot t^{27}+\frac{1053921124392549316967178772861330882105063046383050}{11826795152237733090018025474580791}\cdot t^{25}-\frac{31027027018141170938770646455801175683572100559630250}{11826795152237733090018025474580791}\cdot t^{23}+\frac{691287629681260503947801427208367968991969654828028750}{11826795152237733090018025474580791}\cdot t^{21}-\frac{11601895835178407084448811450545325496844712476013610250}{11826795152237733090018025474580791}\cdot t^{19}+\frac{145347344848122940394338782516921530414816644729228932000}{11826795152237733090018025474580791}\cdot t^{17}-\frac{1340359978762624543409995757154053690187707482347665437500}{11826795152237733090018025474580791}\cdot t^{15}+\frac{8917382655163817562554658376881317492861800119546879502500}{11826795152237733090018025474580791}\cdot t^{13}-\frac{41590768603362642077773390359228255545927497479779868307500}{11826795152237733090018025474580791}\cdot t^{11}+\frac{130402165991881882485947088812746057603452820701762376314375}{11826795152237733090018025474580791}\cdot t^9-\frac{257717460101339943447813946260953656259052327844145734861875}{11826795152237733090018025474580791}\cdot t^7+\frac{288716657539005346582007637954959922577755326291048840915625}{11826795152237733090018025474580791}\cdot t^5-\frac{150688904957231736995270509700047923324982247789190076396875}{11826795152237733090018025474580791}\cdot t^3+\frac{23166880717692220669694889110250473225370569685005810793750}{11826795152237733090018025474580791}\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.