Rule: Q[1, 33]

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^{34}+\frac{879829972873867425013170844494140905279}{766812158899802596708021428801179584}\cdot t^{33}-\frac{475471061537432079762252625466647366136703}{766812158899802596708021428801179584}\cdot t^{32}+\frac{2516665081840231181892446539233253383194616}{11981439982809415573562834825018431}\cdot t^{31}-\frac{600020651640934778030620864670314092148517544}{11981439982809415573562834825018431}\cdot t^{30}+\frac{107174253126555722630084660692171030617215146920}{11981439982809415573562834825018431}\cdot t^{29}-\frac{14905994585577003127587835465073254371452215218120}{11981439982809415573562834825018431}\cdot t^{28}+\frac{33805100246663114209201076548100272650799483450560}{244519183322641134154343567857519}\cdot t^{27}-\frac{21393916533909197392365209298162117960680111224032960}{1711634283258487939080404975002633}\cdot t^{26}+\frac{1594188623292581856285614062200714173873388368091001440}{1711634283258487939080404975002633}\cdot t^{25}-\frac{98841025294054555388209525236494884640980801654109340000}{1711634283258487939080404975002633}\cdot t^{24}+\frac{5134006427292536452812296984837854258815263841296173440000}{1711634283258487939080404975002633}\cdot t^{23}-\frac{224487204769931363581973614635469776776110806043872228480000}{1711634283258487939080404975002633}\cdot t^{22}+\frac{8289441673008018308563822030741487653982552757278927840640000}{1711634283258487939080404975002633}\cdot t^{21}-\frac{5284962019264039914510204889238471227446036670748141139840000}{34931311903234447736334795408217}\cdot t^{20}+\frac{978319486430946037722817848293384073101947359539168017996800000}{244519183322641134154343567857519}\cdot t^{19}-\frac{21888168454062725178963342479062928312465150154237369044812800000}{244519183322641134154343567857519}\cdot t^{18}+\frac{413633713679460155512059808879180389769641565580859537498681600000}{244519183322641134154343567857519}\cdot t^{17}-\frac{6584458592319471088902248842082647563433043214233187998633836800000}{244519183322641134154343567857519}\cdot t^{16}+\frac{87953490391681477806780387217884204642929136474967101090956083200000}{244519183322641134154343567857519}\cdot t^{15}-\frac{980888231398092369808428361602498552745528494002992330543067136000000}{244519183322641134154343567857519}\cdot t^{14}+\frac{1296399594519690819054103156005066404344138936883473031750504448000000}{34931311903234447736334795408217}\cdot t^{13}-\frac{9870738551785697705005500420391641096196660909906346041634820096000000}{34931311903234447736334795408217}\cdot t^{12}+\frac{61248654015579021514652561776802652113405293195988950235410956288000000}{34931311903234447736334795408217}\cdot t^{11}-\frac{306018586457244269816196231023151462324426163468598412284152676352000000}{34931311903234447736334795408217}\cdot t^{10}+\frac{1212967502343777224650743185686358214308402561629676801859100459008000000}{34931311903234447736334795408217}\cdot t^9-\frac{3744258206444029498960492970372652189417197616160836781581107970048000000}{34931311903234447736334795408217}\cdot t^8+\frac{8793258944295710883121179388606987896589280323497179869322436673536000000}{34931311903234447736334795408217}\cdot t^7-\frac{15244668559785680539680601464504567074554105835572954744958747148288000000}{34931311903234447736334795408217}\cdot t^6+\frac{18746235269446179766219620826278916961474860682101048616197113249792000000}{34931311903234447736334795408217}\cdot t^5-\frac{15473378663091779511845872275919907157517072111529725543704530780160000000}{34931311903234447736334795408217}\cdot t^4+\frac{7909623020203910134284074252012412996372521456159265672556456181760000000}{34931311903234447736334795408217}\cdot t^3-\frac{2203027336480408876234584500897640948884484464190110652210736005120000000}{34931311903234447736334795408217}\cdot t^2+\frac{264420993761026427539608862838398877883539062889142767759390146560000000}{34931311903234447736334795408217}\cdot t-\frac{7700246205263911508623749504227952000691301509735276348731555840000000}{34931311903234447736334795408217}$

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.