Rule: Q[1, 70]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{71}-2485\cdot t^{69}+2914905\cdot t^{67}-2148284985\cdot t^{65}+1117108192200\cdot t^{63}-436342459873320\cdot t^{61}+133084450261362600\cdot t^{59}-32529642056741629800\cdot t^{57}+6489663590319955145100\cdot t^{55}-1070794492402792598941500\cdot t^{53}+147555481053104820134138700\cdot t^{51}-17103021667518967788275167500\cdot t^{49}+1676096123416858843250966415000\cdot t^{47}-139373839185663416119561130355000\cdot t^{45}+9855721485271912997026108503675000\cdot t^{43}-593314433413369162420971731921235000\cdot t^{41}+30407364712435169574074801260963293750\cdot t^{39}-1325403367759674156140554572610223568750\cdot t^{37}+49039924607107943777200519186578272043750\cdot t^{35}-1535723954801538239338647837684951150843750\cdot t^{33}+40543112406760609518540302914882710382275000\cdot t^{31}-897740346149699210767678135972402872750375000\cdot t^{29}+16567390024398994525985332872945253015302375000\cdot t^{27}-252832778198436829505254427756686252537875375000\cdot t^{25}+3160409727480460368815680346958578156723442187500\cdot t^{23}-31983346442102258932414685111220810946041234937500\cdot t^{21}+258327028955441322146426302821398857641102282187500\cdot t^{19}-1636071183384461706927366584535526098393647787187500\cdot t^{17}+7946631462153099719361494839172555335054860680625000\cdot t^{15}-28772286328485361052860584762521321040715874878125000\cdot t^{13}+74807944454061938737437520382555434705861274683125000\cdot t^{11}-132723772418496988082550439388404803510399035728125000\cdot t^9+149314243970809111592869244311955403949198915194140625\cdot t^7-95018155254151252831825882743971620694944764214453125\cdot t^5+27946516251220956715242906689403417851454342416015625\cdot t^3-2395415678676082004163677716234578672981800778515625\cdot t$

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.