Rule: Q[1, 94]

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^{95}-4465\cdot t^{93}+\frac{9550635}{2}\cdot t^{91}-\frac{13036616775}{4}\cdot t^{89}+\frac{12762847822725}{8}\cdot t^{87}-\frac{9549162740962845}{16}\cdot t^{85}+\frac{5681751830872892775}{32}\cdot t^{83}-\frac{2762143068637207730475}{64}\cdot t^{81}+\frac{1118667942798069130842375}{128}\cdot t^{79}-\frac{382957325751205665791706375}{256}\cdot t^{77}+\frac{112053313514802777810653285325}{512}\cdot t^{75}-\frac{28267995000325246220414806070625}{1024}\cdot t^{73}+\frac{6190690905071228922270842529466875}{2048}\cdot t^{71}-\frac{1183374376854000297834080283517321875}{4096}\cdot t^{69}+\frac{198299734864248907051339453223688365625}{8192}\cdot t^{67}-\frac{29229380918990288899367435405171665093125}{16384}\cdot t^{65}+\frac{1899909759734368778458883301336158231053125}{16384}\cdot t^{63}-\frac{218266103574189542607658769853501001485103125}{32768}\cdot t^{61}+\frac{22190387196709270165111974935105935150985484375}{65536}\cdot t^{59}-\frac{1998302762819450592237188900735066054912429671875}{131072}\cdot t^{57}+\frac{159464560472992157260527674278658271182011887815625}{262144}\cdot t^{55}-\frac{11276422490590159691994456966847977747870840638390625}{524288}\cdot t^{53}+\frac{706314099637874547980380077287114242571182654531921875}{1048576}\cdot t^{51}-\frac{39154368566882176029347156458307419968619908022965234375}{2097152}\cdot t^{49}+\frac{1918564059777226625438010666457063578462375493125296484375}{4194304}\cdot t^{47}-\frac{82958709944767279283939581217603429132713116322737819984375}{8388608}\cdot t^{45}+\frac{3158812417127677172734622515593361340053307121519632376328125}{16777216}\cdot t^{43}-\frac{105644726395047869888124597465955751484005049286378816141640625}{33554432}\cdot t^{41}+\frac{3093881272997830475295077497217275579174433586243951044148046875}{67108864}\cdot t^{39}-\frac{79054000803151461454953531911655213936836389220923024955644921875}{134217728}\cdot t^{37}+\frac{1754998817829962444299968408438745749397767840704491154015317265625}{268435456}\cdot t^{35}-\frac{33684654729317021108338103323259797448118447265134588278681089453125}{536870912}\cdot t^{33}+\frac{1111593606067461696575157409667573315787908759749441413196475951953125}{2147483648}\cdot t^{31}-\frac{15663364449132414815377218045315805813375077978287583549586706595703125}{4294967296}\cdot t^{29}+\frac{187038999010228247501269133129359328242067107623081144739182437583984375}{8589934592}\cdot t^{27}-\frac{1875733961502574710655584735097289263227587279305756622955801016913671875}{17179869184}\cdot t^{25}+\frac{15631116345854789255463206125810743860229893994214638524631675140947265625}{34359738368}\cdot t^{23}-\frac{106883038797331396800870031076489680990220626500981176938697670558369140625}{68719476736}\cdot t^{21}+\frac{590669424932620877057439645422706131788061356979106504134908179401513671875}{137438953472}\cdot t^{19}-\frac{2589858247781491537867235368391865347070730565216082364283828171222021484375}{274877906944}\cdot t^{17}+\frac{8805518042457071228748600252532342180040483921734680038565015782154873046875}{549755813888}\cdot t^{15}-\frac{22550716937999816561429342110143803144006117360540034245105528222591748046875}{1099511627776}\cdot t^{13}+\frac{41879902884856802185511635347409920124582789383860063598053123841956103515625}{2199023255552}\cdot t^{11}-\frac{53567317643421491167514882421105711787257056188658220881230739797850830078125}{4398046511104}\cdot t^9+\frac{43827805344617583682512176526359218735028500517993089811916059834605224609375}{8796093022208}\cdot t^7-\frac{20452975827488205718505682378967635409679966908396775245560827922815771484375}{17592186044416}\cdot t^5+\frac{4446299092932218634457757038906007697756514545303646792513223461481689453125}{35184372088832}\cdot t^3-\frac{283806325080779912837729172696128150920628587998105114415737667754150390625}{70368744177664}\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.