Rule: Q[49]

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.

• $P_1$:
  $562949953421312\cdot t^{49}-331014572611731456\cdot t^{47}+89456688248320425984\cdot t^{45}-14760353560972870287360\cdot t^{43}+1666074908194812733685760\cdot t^{41}-136618142471974644162232320\cdot t^{39}+8436170297644434277017845760\cdot t^{37}-401320672730799516320991805440\cdot t^{35}+14924112517176607013186882764800\cdot t^{33}-437773967170513805720148561100800\cdot t^{31}+10178244736714445982993454045593600\cdot t^{29}-187834880141184775867970106477772800\cdot t^{27}+2747085122064827347069062807237427200\cdot t^{25}-31697136023824930927719955468124160000\cdot t^{23}+286406264786703840168326740479836160000\cdot t^{21}-2004843853506926881178287183358853120000\cdot t^{19}+10713384342177640521296472136073871360000\cdot t^{17}-42853537368710562085185888544295485440000\cdot t^{15}+124989483992072472748458841587528499200000\cdot t^{13}-256557361878464549325783937995453235200000\cdot t^{11}+352766372582888755322952914743748198400000\cdot t^9-302371176499618933133959641208927027200000\cdot t^7+144313516056636308995753465122442444800000\cdot t^5-31372503490573110651250753287487488000000\cdot t^3+1960781468160819415703172080467968000000\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.