Rule: Q[1, 84]

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^{85}-3570\cdot t^{83}+6074355\cdot t^{81}-6560303400\cdot t^{79}+5053073693850\cdot t^{77}-2957058725641020\cdot t^{75}+1367639660608971750\cdot t^{73}-513451004011482537000\cdot t^{71}+159490718121066763055625\cdot t^{69}-41573913856891402903166250\cdot t^{67}+9191992353758689181890057875\cdot t^{65}-1738122190528915772575574580000\cdot t^{63}+282879386508581041986674762895000\cdot t^{61}-39820713639284869756585755084450000\cdot t^{59}+4866660074058315153822730496392425000\cdot t^{57}-517812631879804732366738524816154020000\cdot t^{55}+48059484896344376722787919334499294981250\cdot t^{53}-3895645305127208889647161931937648734362500\cdot t^{51}+275941542446510629683340636845583452017343750\cdot t^{49}-17079329153531394763558346785810849451178750000\cdot t^{47}+923137740748371886970328643773076412836211437500\cdot t^{45}-43519350635280388957172636063587888033707110625000\cdot t^{43}+1786271528348099601287585925700902858838069131562500\cdot t^{41}-63684463184584420567644367785858275836835508168750000\cdot t^{39}+1966257800824043985026019855388374266462296314710156250\cdot t^{37}-52381107813952531761093168947546290458555573823878562500\cdot t^{35}+1198721505742375246071170597068847800878483324046451718750\cdot t^{33}-23441665001184227034280669453790801439401451670241722500000\cdot t^{31}+389299079483952341819303974857597238190059822380800034375000\cdot t^{29}-5450187112775332785470255648006361334660837513331200481250000\cdot t^{27}+63767189219471393590001991081674427615531798905975045630625000\cdot t^{25}-617101831156174776677438623371042847892243215219113344812500000\cdot t^{23}+4878961352578506828105999116027307516148047920326114882423828125\cdot t^{21}-31047935880045043451583630738355593284578486765711640160878906250\cdot t^{19}+156152853984932424418258848713494307401850624615785013750302734375\cdot t^{17}-606765375484308849168091526429577880190048141364193196286890625000\cdot t^{15}+1769732345162567476740266952086268817220973745645563489170097656250\cdot t^{13}-3730787106018385491506508709803485614682052761090647355547773437500\cdot t^{11}+5399823442921347421917315237873466021250339522631200119871777343750\cdot t^9-4984452408850474543308290988806276327308005713198030879881640625000\cdot t^7+2616837514646499135236852769123295071836702999428966211937861328125\cdot t^5-638253052352804667130939699786169529716269024250967368765332031250\cdot t^3+45589503739486047652209978556154966408304930303640526340380859375\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.