Rule: Q[1, 54]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{55}-1485\cdot t^{53}+1023165\cdot t^{51}-434845125\cdot t^{49}+127844466750\cdot t^{47}-27639973711350\cdot t^{45}+4560595662372750\cdot t^{43}-588316840446084750\cdot t^{41}+60302476145723686875\cdot t^{39}-4964903869331250219375\cdot t^{37}+330662597697461264610375\cdot t^{35}-17885840511817222949379375\cdot t^{33}+786976982519957809772692500\cdot t^{31}-28149561297829260118792462500\cdot t^{29}+816337277637048543444981412500\cdot t^{27}-19102292296706935916612565052500\cdot t^{25}+358167980563255048436485594734375\cdot t^{23}-5330382298970795720848873851046875\cdot t^{21}+62187793487992616743236861595546875\cdot t^{19}-559690141391933550689131754359921875\cdot t^{17}+3805892961465148144686095929647468750\cdot t^{15}-19029464807325740723430479648237343750\cdot t^{13}+67468102498700353473980791480114218750\cdot t^{11}-161336766844718236568214936148099218750\cdot t^9+242005150267077354852322404222148828125\cdot t^7-203284326224344978075950819546605015625\cdot t^5+78186279317055760798442622902540390625\cdot t^3-8687364368561751199826958100282265625\cdot t$

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.