Rule: Q[1, 64]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{65}-2080\cdot t^{63}+2031120\cdot t^{61}-1238983200\cdot t^{59}+529975063800\cdot t^{57}-169168040364960\cdot t^{55}+41869089990327600\cdot t^{53}-8242229429524490400\cdot t^{51}+1313605315330465657500\cdot t^{49}-171644427869847512580000\cdot t^{47}+18554762652730516109898000\cdot t^{45}-1669928638745746449890820000\cdot t^{43}+125662130065617420354284205000\cdot t^{41}-7926380511831252668501003700000\cdot t^{39}+419531997090497016239945981550000\cdot t^{37}-18627220670818067521053601580820000\cdot t^{35}+692699768696046885939180808786743750\cdot t^{33}-21514439874794867986816909825847100000\cdot t^{31}+555789696765534089659436837167716750000\cdot t^{29}-11876348257200360021143755573162789500000\cdot t^{27}+208429911913866318371072910309006955725000\cdot t^{25}-2977570170198090262443898718700099367500000\cdot t^{23}+34242056957278038018104835265051142726250000\cdot t^{21}-312644867870799477556609365463510433587500000\cdot t^{19}+2227594683579446277590841728927511839310937500\cdot t^{17}-12118115078672187750094179005365664405851500000\cdot t^{15}+48938541663868450529226492137053644715938750000\cdot t^{13}-141378009251175523751098755062599418068267500000\cdot t^{11}+277706803886237635939658268872963142634096875000\cdot t^9-344739480686363961856127506187126659821637500000\cdot t^7+241317636480454773299289254330988661875146250000\cdot t^5-77844398864662830096544920751931826411337500000\cdot t^3+7297912393562140321551086320493608726062890625\cdot t$

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.