Rule: Q[48]

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.

• $P_1$:
  $t^{48}-1128\cdot t^{46}+583740\cdot t^{44}-184072680\cdot t^{42}+39621644370\cdot t^{40}-6180976521720\cdot t^{38}+724204415794860\cdot t^{36}-65178397421537400\cdot t^{34}+4570635119185310175\cdot t^{32}-251892779901768205200\cdot t^{30}+10957335925726916926200\cdot t^{28}-376533907265888599827600\cdot t^{26}+10197793321784482911997500\cdot t^{24}-216506996677885944900870000\cdot t^{22}+3572365445185118090864355000\cdot t^{20}-45249962305678162484281830000\cdot t^{18}+432702764548047428755944999375\cdot t^{16}-3054372455633275967689023525000\cdot t^{14}+15441549636812672947761174487500\cdot t^{12}-53639067159454548134328290325000\cdot t^{10}+120687901108772733302238653231250\cdot t^8-160917201478363644402984870975000\cdot t^6+109716273735247939365671502937500\cdot t^4-28621636626586418964957783375000\cdot t^2+1192568192774434123539907640625$

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.