Rule: Q[2, 3, 32]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^5-14\cdot t^3+6\cdot t$
• $P_3$:
  $4\cdot t^{37}-\frac{11677736979453601096324261784542}{9511418586279068934499135305}\cdot t^{35}+\frac{27148807455524723480269219927847854}{161694115966744171886485300185}\cdot t^{33}-\frac{730207980282444271536030483999692492}{53898038655581390628828433395}\cdot t^{31}+\frac{7762529674244965025868173296093179649}{10779607731116278125765686679}\cdot t^{29}-\frac{574841519080748843342049573239934178003}{21559215462232556251531373358}\cdot t^{27}+\frac{2548904238970958309225351190794691784263}{3593202577038759375255228893}\cdot t^{25}-\frac{198210246163439357081870996829301985447295}{14372810308155037501020915572}\cdot t^{23}+\frac{22694081614050718067782564950218650014627015}{114982482465240300008167324576}\cdot t^{21}-\frac{478306755665947210018825720862893441306632825}{229964964930480600016334649152}\cdot t^{19}+\frac{3688342866687369368250922496659241616997885575}{229964964930480600016334649152}\cdot t^{17}-\frac{1208701672448611062651821620877501367053314275}{13527350878263564706843214656}\cdot t^{15}+\frac{19067255190981338776818223244978002229613888075}{54109403513054258827372858624}\cdot t^{13}-\frac{103297203344414807307893975887453062160266165225}{108218807026108517654745717248}\cdot t^{11}+\frac{45961679206675416996131561334545566463027303625}{27054701756527129413686429312}\cdot t^9-\frac{402109703540429031535518193527453926649071984625}{216437614052217035309491434496}\cdot t^7+\frac{3880855434973401355479390754977145967959486078125}{3463001824835472564951862951936}\cdot t^5-\frac{2122969357311512709576123853728724890532848778875}{6926003649670945129903725903872}\cdot t^3+\frac{166996534536422332525637275545261042532074822375}{6926003649670945129903725903872}\cdot t$

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.