Rule: Q[1, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^{49}-\frac{1176}{97}\cdot t^{47}+\frac{635628}{9215}\cdot t^{45}-\frac{13983816}{57133}\cdot t^{43}+\frac{450978066}{742729}\cdot t^{41}-\frac{73960402824}{66102881}\cdot t^{39}+\frac{12326733804}{7761067}\cdot t^{37}-\frac{1172800673352}{659690695}\cdot t^{35}+\frac{1026200589183}{644168561}\cdot t^{33}-\frac{6689307544304}{5797517049}\cdot t^{31}+\frac{3344653772152}{4924772547}\cdot t^{29}-\frac{55283533424}{169819743}\cdot t^{27}+\frac{179671483628}{1415164525}\cdot t^{25}-\frac{165850600272}{4132280413}\cdot t^{23}+\frac{2997157276344}{293391909323}\cdot t^{21}-\frac{608118867664}{293391909323}\cdot t^{19}+\frac{6499270398159}{19657257924641}\cdot t^{17}-\frac{51994163185272}{1277721765101665}\cdot t^{15}+\frac{2888564621404}{766633059060999}\cdot t^{13}-\frac{304059433832}{1199092733403101}\cdot t^{11}+\frac{836163443038}{70746471270782959}\cdot t^9-\frac{477807681736}{1344182954144876221}\cdot t^7+\frac{41462650068}{6720914770724381105}\cdot t^5-\frac{3605447832}{71241696569678439713}\cdot t^3+\frac{150226993}{1211108841684533475121}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.