Rule: Q[1, 27]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{28}+\frac{3254014980889061538354284815345}{4292420644705676598492079924}\cdot t^{27}-\frac{1145540458271874071262388934664873}{4292420644705676598492079924}\cdot t^{26}+\frac{9576601285417271835553555802516277}{165093101719449099942003074}\cdot t^{25}-\frac{1441435197783067977109334505927654375}{165093101719449099942003074}\cdot t^{24}+\frac{79863923215853984443013332860219291000}{82546550859724549971001537}\cdot t^{23}-\frac{6762487285307386841832640006115668335000}{82546550859724549971001537}\cdot t^{22}+\frac{448297302585021714678871701507635602362000}{82546550859724549971001537}\cdot t^{21}-\frac{23649557322049539095700497707906955301558000}{82546550859724549971001537}\cdot t^{20}+\frac{1003854481737766940876808572009133245462700000}{82546550859724549971001537}\cdot t^{19}-\frac{34533892722533957071092780354373149816351660000}{82546550859724549971001537}\cdot t^{18}+\frac{966952629454944266799692535271470453524177400000}{82546550859724549971001537}\cdot t^{17}-\frac{22077797265964742757603042106014582479566786920000}{82546550859724549971001537}\cdot t^{16}+\frac{410942070926235787614132295960443107185420500480000}{82546550859724549971001537}\cdot t^{15}-\frac{6221593364829176784091970912429407836327818688000000}{82546550859724549971001537}\cdot t^{14}+\frac{76293138373026304558635724359795472280428689945600000}{82546550859724549971001537}\cdot t^{13}-\frac{753008970561007134650086158336880580380211632512000000}{82546550859724549971001537}\cdot t^{12}+\frac{5930865885658649737972933932339570224174641926835200000}{82546550859724549971001537}\cdot t^{11}-\frac{36859980230538224535547545669226093691861664712780800000}{82546550859724549971001537}\cdot t^{10}+\frac{178165063197274697364031180783348355491780191962880000000}{82546550859724549971001537}\cdot t^9-\frac{657437433299610262496191722448460208683210386021632000000}{82546550859724549971001537}\cdot t^8+\frac{1808171765791262478226459924493286331808643031142400000000}{82546550859724549971001537}\cdot t^7-\frac{3591977712490996530307353426426000122146406033608704000000}{82546550859724549971001537}\cdot t^6+\frac{4940865023181722317026427906428116806659013538144256000000}{82546550859724549971001537}\cdot t^5-\frac{4436983397494717005985097841682851843706703149670400000000}{82546550859724549971001537}\cdot t^4+\frac{2385428733338756222976639966401972488838571006148608000000}{82546550859724549971001537}\cdot t^3-\frac{668488185789540079196359839505472237667064152637440000000}{82546550859724549971001537}\cdot t^2+\frac{75740894934514405193281777530864979824160665993216000000}{82546550859724549971001537}\cdot t-\frac{1873089395906901539221926757466693068566692265984000000}{82546550859724549971001537}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Laguerre type can be downloaded here packed into a single file.