Rule: Q[6, 39]

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.

• $P_1$:
  $t^6-15\cdot t^4+45\cdot t^2-15$
• $P_2$:
  $t^{45}-\frac{9659591676117606105841859958087650835}{10905070395460721410598644805409721}\cdot t^{43}+\frac{66026150776609822680135103251503248599315}{185386196722832263980176961691965257}\cdot t^{41}-\frac{175880274472361865700135118522932866764501055}{2039248163951154903781946578611617827}\cdot t^{39}+\frac{4100530828361821789987832545741615955720196390}{291321166278736414825992368373088261}\cdot t^{37}-\frac{3347335912119531540956256674494767729080719599930}{2039248163951154903781946578611617827}\cdot t^{35}+\frac{2425351217010781982476109949914452470707555392200}{17136539192866847930940727551358133}\cdot t^{33}-\frac{14349209198313966133576365057884405634810856323900}{1557867199351531630085520686487103}\cdot t^{31}+\frac{713418404937074956521331087900746910595995762990650}{1557867199351531630085520686487103}\cdot t^{29}-\frac{27260463800328845882379494790813627214888040140851150}{1557867199351531630085520686487103}\cdot t^{27}+\frac{801499649820815206771988984558960218787571948661202550}{1557867199351531630085520686487103}\cdot t^{25}-\frac{18076921915240586359987348867381039322594830699962596250}{1557867199351531630085520686487103}\cdot t^{23}+\frac{310515178370373468207105876581764491292941657659624580000}{1557867199351531630085520686487103}\cdot t^{21}-\frac{4015764983051732752872278534569806322322785643305089165000}{1557867199351531630085520686487103}\cdot t^{19}+\frac{38457955222727674306905682385349469678439171055253798927500}{1557867199351531630085520686487103}\cdot t^{17}-\frac{266591658856582137426066766239621397432605728171534069347500}{1557867199351531630085520686487103}\cdot t^{15}+\frac{1296981356592082893691869923813386274864644667644460818359375}{1557867199351531630085520686487103}\cdot t^{13}-\frac{4246021766847439435279913592239737053710175103456785363703125}{1557867199351531630085520686487103}\cdot t^{11}+\frac{8826108208950043300659734483356338566893539535189633120378125}{1557867199351531630085520686487103}\cdot t^9-\frac{10735517765412670192671527674991336573659965427425836507221875}{1557867199351531630085520686487103}\cdot t^7+\frac{6803747694776334268646772073314693767481453618295309847343750}{1557867199351531630085520686487103}\cdot t^5-\frac{1908155273320102121285580171810588974242370090200118716218750}{1557867199351531630085520686487103}\cdot t^3+\frac{177654722484639906157541093836411386007129188614788946812500}{1557867199351531630085520686487103}\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.