Rule: Q[1, 72]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{73}-2628\cdot t^{71}+1632645\cdot t^{69}-638364195\cdot t^{67}+\frac{1411423235145}{8}\cdot t^{65}-36697004113770\cdot t^{63}+\frac{11944874839032135}{2}\cdot t^{61}-\frac{1561365782530629075}{2}\cdot t^{59}+\frac{2671496853909906347325}{32}\cdot t^{57}-\frac{118436360523339181398075}{16}\cdot t^{55}+\frac{35175599075431736875228275}{64}\cdot t^{53}-\frac{2203271614815678791548389225}{64}\cdot t^{51}+\frac{936390436296663486408065420625}{512}\cdot t^{49}-\frac{10588414933508425577075816679375}{128}\cdot t^{47}+\frac{1635153791874658292688422547200625}{512}\cdot t^{45}-\frac{53960075131863723658717944057620625}{512}\cdot t^{43}+\frac{48725947844072942463822303484031424375}{16384}\cdot t^{41}-\frac{587577606354997247357857189072143646875}{8192}\cdot t^{39}+\frac{48377222923228106699130241900273160259375}{32768}\cdot t^{37}-\frac{847874485970261027937387923831103282440625}{32768}\cdot t^{35}+\frac{100897063830461062324549162935901290610434375}{262144}\cdot t^{33}-\frac{158552528876438812224291541756416313816396875}{32768}\cdot t^{31}+\frac{6702447811594913425845051537884871447693140625}{131072}\cdot t^{29}-\frac{59156387206685540236806324443070821907900328125}{131072}\cdot t^{27}+\frac{6921297303182208207706339959839286163224338390625}{2097152}\cdot t^{25}-\frac{20763891909546624623119019879517858489673015171875}{1048576}\cdot t^{23}+\frac{404097281008868925357624002270616784452867141421875}{4194304}\cdot t^{21}-\frac{1571489426145601376390760008830176383983372216640625}{4194304}\cdot t^{19}+\frac{38389241695842547908974280215708594523022378435078125}{33554432}\cdot t^{17}-\frac{22504038235493907394915957367829176099702773565390625}{8388608}\cdot t^{15}+\frac{157528267648457351764411701574804232697919414957734375}{33554432}\cdot t^{13}-\frac{198180723815801184477808269723140808878027651075859375}{33554432}\cdot t^{11}+\frac{10899939809869065146279454834772744488291520809172265625}{2147483648}\cdot t^9-\frac{2972710857237017767167124045847112133170414766137890625}{1073741824}\cdot t^7+\frac{3672172235410433712382917938987609105681100593464453125}{4294967296}\cdot t^5-\frac{524596033630061958911845419855372729383014370494921875}{4294967296}\cdot t^3+\frac{174865344543353986303948473285124243127671456831640625}{34359738368}\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.