Rule: Q[2, 28]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{30}-\frac{166298445234613824167539415014206970253269379271738}{389613955679202646378402598698717016939418184777}\cdot t^{29}+\frac{861213881758050676906477922731882897178642219764041161}{5064981423829634402919233783083321220212436402101}\cdot t^{28}-\frac{212947833205813303294063435036965568519170953885483071856}{5064981423829634402919233783083321220212436402101}\cdot t^{27}+\frac{36672750958436395081122984012317203632204570167006998035900}{5064981423829634402919233783083321220212436402101}\cdot t^{26}-\frac{359911966236193272793231594117393971330046176313370720660016}{389613955679202646378402598698717016939418184777}\cdot t^{25}+\frac{35329936652464877803356824576765593670478392262920670589149000}{389613955679202646378402598698717016939418184777}\cdot t^{24}-\frac{2735681887286975753148521135886566584239143125447507976235456000}{389613955679202646378402598698717016939418184777}\cdot t^{23}+\frac{169978157874103816814321044077385758446785044795353799074293176000}{389613955679202646378402598698717016939418184777}\cdot t^{22}-\frac{8576416095416360085889200713137797185004127335822145316420580960000}{389613955679202646378402598698717016939418184777}\cdot t^{21}+\frac{354314493493123079401654928944406312580739924995371983933257265008000}{389613955679202646378402598698717016939418184777}\cdot t^{20}-\frac{12051048373454887665406084386146052178129786934309352593524459280640000}{389613955679202646378402598698717016939418184777}\cdot t^{19}+\frac{338561071545472397291906316535841840712706812727583547481429943828160000}{389613955679202646378402598698717016939418184777}\cdot t^{18}-\frac{7867584362412874554900014856513345896800181566767426640354521203823360000}{389613955679202646378402598698717016939418184777}\cdot t^{17}+\frac{151194632738586116820853489484680833569211921418866805325424424501315200000}{389613955679202646378402598698717016939418184777}\cdot t^{16}-\frac{2398544702991412894357368748169274150721629563988922898399845416295956480000}{389613955679202646378402598698717016939418184777}\cdot t^{15}+\frac{31306729898308011593105912380690029592454777628554921497294292194552166400000}{389613955679202646378402598698717016939418184777}\cdot t^{14}-\frac{334563893609879787163631281692966951628215504229434243927840408996550041600000}{389613955679202646378402598698717016939418184777}\cdot t^{13}+\frac{2908009637668901895606109111992406839188726567122710151070885866433775513600000}{389613955679202646378402598698717016939418184777}\cdot t^{12}-\frac{20382681597722665773699328534868702477080708652220616469235736839561289728000000}{389613955679202646378402598698717016939418184777}\cdot t^{11}+\frac{113957504428136421304617110625363684834514640067444456853117892528398726348800000}{389613955679202646378402598698717016939418184777}\cdot t^{10}-\frac{501270175380015552319549904452141058808839772030917176647802454093514252288000000}{389613955679202646378402598698717016939418184777}\cdot t^9+\frac{1704908352937020697022950149511210057385592490339699915536511728618647580672000000}{389613955679202646378402598698717016939418184777}\cdot t^8-\frac{4385180850438675461122796707660197484476509208256601278434778164389366464512000000}{389613955679202646378402598698717016939418184777}\cdot t^7+\frac{8286730535998583078081070742198917955144726628804203237633300894273284833280000000}{389613955679202646378402598698717016939418184777}\cdot t^6-\frac{11069013670672144562895780389607222205215150557972584106752857621037018644480000000}{389613955679202646378402598698717016939418184777}\cdot t^5+\frac{9904612304607942929882824887541655436328047797844232781039385387649233518592000000}{389613955679202646378402598698717016939418184777}\cdot t^4-\frac{5486177407520403353267130683233470200060663134378522289901004463879249461248000000}{389613955679202646378402598698717016939418184777}\cdot t^3+\frac{1657755921408477340038976151593677261390299053333607634842264416464406315008000000}{389613955679202646378402598698717016939418184777}\cdot t^2-\frac{216499046074730221598209528834748884477324158162424536937437500126763417600000000}{389613955679202646378402598698717016939418184777}\cdot t+\frac{6891957032657182031106696629818458537019911338308736006117941998210514944000000}{389613955679202646378402598698717016939418184777}$

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.