Rule: Q[1, 68]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{69}-2346\cdot t^{67}+2593503\cdot t^{65}-1798162080\cdot t^{63}+877952635560\cdot t^{61}-321330664614960\cdot t^{59}+91632794526032760\cdot t^{57}-20892277151935469280\cdot t^{55}+3878128946328021485100\cdot t^{53}-593784632004445956274200\cdot t^{51}+75707540580566859424960500\cdot t^{49}-8093824338431511516704868000\cdot t^{47}+729118675820371995796496859000\cdot t^{45}-55525191466320636602963991570000\cdot t^{43}+3581374849577681060891177456265000\cdot t^{41}-195781825110246564662051034275820000\cdot t^{39}+9067145775418294025911238524898913750\cdot t^{37}-355218769789916695368052050446039797500\cdot t^{35}+11741953779166690763555053889744093306250\cdot t^{33}-326302715547369090692477287041309540300000\cdot t^{31}+7586538136476331358600096923710446811975000\cdot t^{29}-146673070638542406266268540525068638364850000\cdot t^{27}+2340102172460381118157284442013595093911925000\cdot t^{25}-30523071814700623280312405765394718616242500000\cdot t^{23}+321764048713302403746626610776869325412889687500\cdot t^{21}-2702818009191740191471663530525702333468273375000\cdot t^{19}+17776226137376445105448248604611349962425951812500\cdot t^{17}-89539509432710982753368955934338651662589979500000\cdot t^{15}+335773160372666185325133584753769943734712423125000\cdot t^{13}-903114017554067670874497227958415710734743758750000\cdot t^{11}+1655709032182457396603244917923762136347030224375000\cdot t^9-1922758876082853750894090872427594738983648002500000\cdot t^7+1261810512429372774024247135030609047458019001640625\cdot t^5-382366821948294780007347616675942135593339091406250\cdot t^3+33738248995437774706530672059641953140588743359375\cdot t$

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.