Rule: Q[1, 80]

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^{81}-3240\cdot t^{79}+4991220\cdot t^{77}-4868103240\cdot t^{75}+3377246622750\cdot t^{73}-1775080824917400\cdot t^{71}+735179308319956500\cdot t^{69}-246390093902659707000\cdot t^{67}+68096062202347576522125\cdot t^{65}-15737756597875884351780000\cdot t^{63}+3073583863565160213902634000\cdot t^{61}-511332588211294835585620020000\cdot t^{59}+72907504869127121973916321185000\cdot t^{57}-8950798290086683590028496047020000\cdot t^{55}+949423961484194652228022616416050000\cdot t^{53}-87220414595014682051347677694754460000\cdot t^{51}+6950376788040232475966768066300746031250\cdot t^{49}-480802535455018434808054073292333960750000\cdot t^{47}+28874863379270829334861469623834056198375000\cdot t^{45}-1504532355025164265342781838294511349283750000\cdot t^{43}+67929635829386166580226599998997187420161312500\cdot t^{41}-2652490541909364599799324380913223508787251250000\cdot t^{39}+89340704161583598565968153011668119091425144375000\cdot t^{37}-2586996042244116375866729995903085535429962876250000\cdot t^{35}+64135943547302051818362681148430662232534496307031250\cdot t^{33}-1354551127719019334403819825854855586351128562004500000\cdot t^{31}+24225625938051691942222162270096455678972106974311250000\cdot t^{29}-364281634475888404760822143765154111320839830798902500000\cdot t^{27}+4566530489322743931108877587913181895486242164657670625000\cdot t^{25}-47239970579200799287333216426688088573995608599906937500000\cdot t^{23}+398390418551260073989843458531736213640696299192548506250000\cdot t^{21}-2698773803089181146382810525537567898856329768723715687500000\cdot t^{19}+14421572510257811750983143745841378459513512201617355705078125\cdot t^{17}-59434359436214012064657804528315983954358716952120011390625000\cdot t^{15}+183547286494190331376149102219799362211990155293311799882812500\cdot t^{13}-409048238472767024209703713518410007215292346082237725453125000\cdot t^{11}+624934808777838509209269562319793066578918862070085413886718750\cdot t^9-608044678810869900852262276851690551265975109041164186484375000\cdot t^7+336024690921796524155197574049618462541723086575380208320312500\cdot t^5-86160177159435006193640403602466272446595663224456463671875000\cdot t^3+6462013286957625464523030270184970433494674741834234775390625\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.