Rule: Q[1, 70]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{71}-2485\cdot t^{69}+\frac{2914905}{2}\cdot t^{67}-\frac{2148284985}{4}\cdot t^{65}+139638524025\cdot t^{63}-\frac{54542807484165}{2}\cdot t^{61}+\frac{16635556282670325}{4}\cdot t^{59}-\frac{4066205257092703725}{8}\cdot t^{57}+\frac{1622415897579988786275}{32}\cdot t^{55}-\frac{267698623100698149735375}{64}\cdot t^{53}+\frac{36888870263276205033534675}{128}\cdot t^{51}-\frac{4275755416879741947068791875}{256}\cdot t^{49}+\frac{209512015427107355406370801875}{256}\cdot t^{47}-\frac{17421729898207927014945141294375}{512}\cdot t^{45}+\frac{1231965185658989124628263562959375}{1024}\cdot t^{43}-\frac{74164304176671145302621466490154375}{2048}\cdot t^{41}+\frac{15203682356217584787037400630481646875}{16384}\cdot t^{39}-\frac{662701683879837078070277286305111784375}{32768}\cdot t^{37}+\frac{24519962303553971888600259593289136021875}{65536}\cdot t^{35}-\frac{767861977400769119669323918842475575421875}{131072}\cdot t^{33}+\frac{5067889050845076189817537864360338797784375}{65536}\cdot t^{31}-\frac{112217543268712401345959766996550359093796875}{131072}\cdot t^{29}+\frac{2070923753049874315748166609118156626912796875}{262144}\cdot t^{27}-\frac{31604097274804603688156803469585781567234421875}{524288}\cdot t^{25}+\frac{790102431870115092203920086739644539180860546875}{2097152}\cdot t^{23}-\frac{7995836610525564733103671277805202736510308734375}{4194304}\cdot t^{21}+\frac{64581757238860330536606575705349714410275570546875}{8388608}\cdot t^{19}-\frac{409017795846115426731841646133881524598411946796875}{16777216}\cdot t^{17}+\frac{993328932769137464920186854896569416881857585078125}{16777216}\cdot t^{15}-\frac{3596535791060670131607573095315165130089484359765625}{33554432}\cdot t^{13}+\frac{9350993056757742342179690047819429338232659335390625}{67108864}\cdot t^{11}-\frac{16590471552312123510318804923550600438799879466015625}{134217728}\cdot t^9+\frac{149314243970809111592869244311955403949198915194140625}{2147483648}\cdot t^7-\frac{95018155254151252831825882743971620694944764214453125}{4294967296}\cdot t^5+\frac{27946516251220956715242906689403417851454342416015625}{8589934592}\cdot t^3-\frac{2395415678676082004163677716234578672981800778515625}{17179869184}\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.