Rule: Q[2, 77]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{79}-\frac{496790801549614604482368825335938361774550362650164371}{164737299135810920092015930651276485497627002403025}\cdot t^{77}+\frac{711056015267607202967889099474534934342324154901738552971}{164737299135810920092015930651276485497627002403025}\cdot t^{75}-\frac{8575454083706914954796228825618635226704600594037535117751}{2196497321810812267893545742017019806635026698707}\cdot t^{73}+\frac{5506459774277465084953439303820730114913992553396533650000801}{2196497321810812267893545742017019806635026698707}\cdot t^{71}-\frac{2673286569133065061169060865797378392283882070705672143636679915}{2196497321810812267893545742017019806635026698707}\cdot t^{69}+\frac{1020456288506039920270458597459978881725104348367947421720178037603}{2196497321810812267893545742017019806635026698707}\cdot t^{67}-\frac{314485542210229235570036232917903885354371870639419889285796265583293}{2196497321810812267893545742017019806635026698707}\cdot t^{65}+\frac{79729695947807472701179436926475240391631446203527163164319551432389420}{2196497321810812267893545742017019806635026698707}\cdot t^{63}-\frac{16859413749847309681450431364862117118274386710854718659810060017447617220}{2196497321810812267893545742017019806635026698707}\cdot t^{61}+\frac{3004399476660732794974321259752276594096349175984559853072188259454211644900}{2196497321810812267893545742017019806635026698707}\cdot t^{59}-\frac{454741217425189722555830766811474402522132621274846390316720081964476043476540}{2196497321810812267893545742017019806635026698707}\cdot t^{57}+\frac{58807513098068981015965395896124253017946594755966013111096052994716194423997940}{2196497321810812267893545742017019806635026698707}\cdot t^{55}-\frac{6526511519515598266463682324029906122551352543102347893880882892762558190187680700}{2196497321810812267893545742017019806635026698707}\cdot t^{53}+\frac{623583936501282180046485394072678757585468152018104333694148825039666729133980876700}{2196497321810812267893545742017019806635026698707}\cdot t^{51}-\frac{51405676756584968825696009091382324208498162744965021812986170740366312465870817582500}{2196497321810812267893545742017019806635026698707}\cdot t^{49}+\frac{3660793839926229997536895836964141120634017643776751381754772314398530042218464657444250}{2196497321810812267893545742017019806635026698707}\cdot t^{47}-\frac{225310314337716790240137114186725153312402198364015183925630648635878067280544328506076750}{2196497321810812267893545742017019806635026698707}\cdot t^{45}+\frac{11981046474042140779147074208380766256876270113527155325805842646854551891442298711647978750}{2196497321810812267893545742017019806635026698707}\cdot t^{43}-\frac{549880693186179045255958223381682058982004665435854126775731876616759816024029336735891991250}{2196497321810812267893545742017019806635026698707}\cdot t^{41}+\frac{21744201914505514444337935979567344145559637912418150415225292181811353615187867443851400268750}{2196497321810812267893545742017019806635026698707}\cdot t^{39}-\frac{738999137981326992027978777959996256656528554552238794751922517616697432718208774876887648196250}{2196497321810812267893545742017019806635026698707}\cdot t^{37}+\frac{21515995189596796990561006371352063963848186277769246380919055453024386819863273030543229771246250}{2196497321810812267893545742017019806635026698707}\cdot t^{35}-\frac{534477402481785964588853747944247663929373411935935183905368647636778172491651969800706496166993750}{2196497321810812267893545742017019806635026698707}\cdot t^{33}+\frac{11271598012162840154672887805155657330858831934920303086347940675144795090849632585587134626755837500}{2196497321810812267893545742017019806635026698707}\cdot t^{31}-\frac{200595292956910837044072472693004308628048947814850597558066542502416749196022346141392309883783312500}{2196497321810812267893545742017019806635026698707}\cdot t^{29}+\frac{2990953012783180614144579549127155257933161168689020170395573988828421759196540755134259606854717972500}{2196497321810812267893545742017019806635026698707}\cdot t^{27}-\frac{37043933862109796047812356320626162054768253979499853125997415581548365652317523366788110871814654847500}{2196497321810812267893545742017019806635026698707}\cdot t^{25}+\frac{377201555978981186911555483956421133104343708207597614680561099732077661804428752680330502012692600562500}{2196497321810812267893545742017019806635026698707}\cdot t^{23}-\frac{3118912641596147704598473216698336100819496528129561764200721451187876058416559783787813962247655741187500}{2196497321810812267893545742017019806635026698707}\cdot t^{21}+\frac{20629468167215871932641909099748366558790444247756782781593765570923039333154481076585763779588608114687500}{2196497321810812267893545742017019806635026698707}\cdot t^{19}-\frac{107159344554749658018037434571807517755657889953604331598606588651090058387555176354784448380930969452312500}{2196497321810812267893545742017019806635026698707}\cdot t^{17}+\frac{427226493537174192280817953917069533290803182119919338377727967125610049991960317647645107147073854946296875}{2196497321810812267893545742017019806635026698707}\cdot t^{15}-\frac{1269627458643925620861289852876227187654737419799609941922566148813005210389853613869179163966517103655390625}{2196497321810812267893545742017019806635026698707}\cdot t^{13}+\frac{2706824576675109145645295115887716652758386965745323172641513799759897070991810519308663911377090176121015625}{2196497321810812267893545742017019806635026698707}\cdot t^{11}-\frac{3930102621161737219511319550068105585107179597434606735152481372011951842804117091357667575742822591605859375}{2196497321810812267893545742017019806635026698707}\cdot t^9+\frac{3606623764691160067294318203741227858736893962983705627582583915829779716906817652373149005035932049307265625}{2196497321810812267893545742017019806635026698707}\cdot t^7-\frac{1863406569530601113962801459613550075126993916194294457304497720340534038140537364355709165429996531004921875}{2196497321810812267893545742017019806635026698707}\cdot t^5+\frac{442055384685278243385964621143932578420503389585490552356319836932959777861711196745991103385954269266796875}{2196497321810812267893545742017019806635026698707}\cdot t^3-\frac{30287739961083269954869021479359059126899430053753719445415648590080167481952788075178607698446476020703125}{2196497321810812267893545742017019806635026698707}\cdot t$

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.