Rule: Q[1, 74]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{75}-2775\cdot t^{73}+3646350\cdot t^{71}-3020393250\cdot t^{69}+1771460641125\cdot t^{67}-783339895505475\cdot t^{65}+271557830441898000\cdot t^{63}-75764634693289542000\cdot t^{61}+17331160186089982732500\cdot t^{59}-3294846119822217828367500\cdot t^{57}+525857440723625965407453000\cdot t^{55}-70990754497689505330006155000\cdot t^{53}+8152104974818011528729040132500\cdot t^{51}-799533372530228053779194320687500\cdot t^{49}+67160803292539156517452322937750000\cdot t^{47}-4840055223948988546357730739713850000\cdot t^{45}+299478416981843666305884589519794468750\cdot t^{43}-15907588854976754745541987313904376781250\cdot t^{41}+724679047837829938408023866522310497812500\cdot t^{39}-28262482865675367597912930794370109414687500\cdot t^{37}+941140679426989741010500595452524643509093750\cdot t^{35}-26665652583764709328630850204488198232757656250\cdot t^{33}+639975662010353023887140404907716757586183750000\cdot t^{31}-12938638384122354613370447316612534446851106250000\cdot t^{29}+218878632664736498876183400439362041059231214062500\cdot t^{27}-3073056002612900444221614942168643056471606245437500\cdot t^{25}+35458338491687312817941710871176650651595456678125000\cdot t^{23}-332257764385070005294046401866951578327912982946875000\cdot t^{21}+2491933232888025039705348014002136837459347372101562500\cdot t^{19}-14693813200822492475503948634288462041570634504460937500\cdot t^{17}+66611953177061965888951233808774361255120209753556250000\cdot t^{15}-225621131728758271559350953223267997799600710455593750000\cdot t^{13}+549951508588848286925917948481715744636526731735509765625\cdot t^{11}-916585847648080478209863247469526241060877886225849609375\cdot t^9+970502662215614623986914026732439549358576585415605468750\cdot t^7-582301597329368774392148416039463729615145951249363281250\cdot t^5+161750443702602437331152337788739924893096097569267578125\cdot t^3-13114900840751548972796135496384318234575359262373046875\cdot t$

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.