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.

• $P_1$:
  $t$
• $P_2$:
  $t^{73}-2628\cdot t^{71}+3265290\cdot t^{69}-2553456780\cdot t^{67}+1411423235145\cdot t^{65}-587152065820320\cdot t^{63}+191117997424514160\cdot t^{61}-49963705040980130400\cdot t^{59}+10685987415639625389300\cdot t^{57}-1894981768373426902369200\cdot t^{55}+281404792603453895001826200\cdot t^{53}-35252345837050860664774227600\cdot t^{51}+3745561745186653945632261682500\cdot t^{49}-338829277872269618466426133740000\cdot t^{47}+26162460669994532683014760755210000\cdot t^{45}-1726722404219639157078974209843860000\cdot t^{43}+97451895688145884927644606968062848750\cdot t^{41}-4700620850839977978862857512577149175000\cdot t^{39}+193508891692912426796520967601092641037500\cdot t^{37}-6782995887762088223499103390648826259525000\cdot t^{35}+201794127660922124649098325871802581220868750\cdot t^{33}-5073680924046041991177329336205322042124700000\cdot t^{31}+107239164985518614813520824606157943163090250000\cdot t^{29}-1893004390613937287577802382178266301052810500000\cdot t^{27}+27685189212728832830825359839357144652897353562500\cdot t^{25}-332222270552745993969904318072285735834768242750000\cdot t^{23}+3232778248070951402860992018164934275622937131375000\cdot t^{21}-25143830818329622022252160141282822143733955466250000\cdot t^{19}+153556966783370191635897120862834378092089513740312500\cdot t^{17}-720129223535805036637310635770533635190488754092500000\cdot t^{15}+2520452282375317628230587225196867723166710639323750000\cdot t^{13}-6341783162105637903289864631140505884096884834427500000\cdot t^{11}+10899939809869065146279454834772744488291520809172265625\cdot t^9-11890843428948071068668496183388448532681659064551562500\cdot t^7+7344344470820867424765835877975218211362201186928906250\cdot t^5-2098384134520247835647381679421490917532057481979687500\cdot t^3+174865344543353986303948473285124243127671456831640625\cdot t$

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.