Rule: Q[1, 98]

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^{99}-4851\cdot t^{97}+5646564\cdot t^{95}-4201984710\cdot t^{93}+\frac{4494022647345}{2}\cdot t^{91}-\frac{3680604548175555}{4}\cdot t^{89}+\frac{1201103950887956115}{4}\cdot t^{87}-\frac{641904268610263403745}{8}\cdot t^{85}+\frac{1145799119469320175684825}{64}\cdot t^{83}-\frac{433239378172677395317273275}{128}\cdot t^{81}+\frac{35092389631986869020699135275}{64}\cdot t^{79}-\frac{9829059314195594859343094162025}{128}\cdot t^{77}+\frac{4793304592222718426406315586347525}{512}\cdot t^{75}-\frac{1023186172570618741021348134778029375}{1024}\cdot t^{73}+\frac{96033330768413787550146532078452185625}{1024}\cdot t^{71}-\frac{15909521797300550804140942147663578751875}{2048}\cdot t^{69}+\frac{18661869068233546093257325139209377875949375}{32768}\cdot t^{67}-\frac{2427140735874374730128937993105407910807298125}{65536}\cdot t^{65}+\frac{17529349759092706384264552172427946022497153125}{8192}\cdot t^{63}-\frac{1801832635763581872024666862776409399049312634375}{16384}\cdot t^{61}+\frac{329735372344735482580514035888082920026024212090625}{65536}\cdot t^{59}-\frac{26865582003897257652155215019262375055453686994621875}{131072}\cdot t^{57}+\frac{974487929050455073019084617516880695193274646441284375}{131072}\cdot t^{55}-\frac{62918024984344599279710463348372514450522297824578578125}{262144}\cdot t^{53}+\frac{14450173071404476301240169749009554152136621067044880109375}{2097152}\cdot t^{51}-\frac{736958826641628291363248657199487261758967674419288885578125}{4194304}\cdot t^{49}+\frac{8333303655101489140799811739101894421428326779971958936921875}{2097152}\cdot t^{47}-\frac{333640787080174435600170240369227698872741527746284726326390625}{4194304}\cdot t^{45}+\frac{23593169943526620803154895568966815848858150890630134218794765625}{16777216}\cdot t^{43}-\frac{734642498586363399491340368923346024535134836353069351709368046875}{33554432}\cdot t^{41}+\frac{10040114147346966459714985041952395668646842763491947806694696640625}{33554432}\cdot t^{39}-\frac{239991115586583940214477545680216941627977757669275268540670006796875}{67108864}\cdot t^{37}+\frac{79917041490332452091421022711512241562116593303868664424043112263359375}{2147483648}\cdot t^{35}-\frac{1440928475355994211951379045859084355438162818660662282797140963536328125}{4294967296}\cdot t^{33}+\frac{2797096452161635823199735794902928454674080765635403254841508929217578125}{1073741824}\cdot t^{31}-\frac{37161424293004590222510775560853192326384215886298928957180047202462109375}{2147483648}\cdot t^{29}+\frac{838196570164436868352187493205910893583999536102075842034172175788867578125}{8589934592}\cdot t^{27}-\frac{7951540435884252453827508381493911449945509112752124879837687397348446484375}{17179869184}\cdot t^{25}+\frac{31387659615332575475634901505897018881363851760863650841464555515849130859375}{17179869184}\cdot t^{23}-\frac{203617381607157476803477694384408866076539858858935991356167501166918720703125}{34359738368}\cdot t^{21}+\frac{4275965013750307012873031582072586187607337036037655818479517524505293134765625}{274877906944}\cdot t^{19}-\frac{17833902862226890224421668305717371660508649589327784023414573090009881123046875}{549755813888}\cdot t^{17}+\frac{14436968983707482562627064818914062772792716334217729923716559168103237099609375}{274877906944}\cdot t^{15}-\frac{35253063797425248118042832697348292817284539885880503302098574712810230126953125}{549755813888}\cdot t^{13}+\frac{124988135281780425145788225017871219988554277777212693525622219436327179541015625}{2199023255552}\cdot t^{11}-\frac{152763276455509408511518941688509268874899672838815514309093823755510997216796875}{4398046511104}\cdot t^9+\frac{59776934265199333765376977182460148690178132849971288207906278860852129345703125}{4398046511104}\cdot t^7-\frac{26708842969557149129210989804929002606249804039348873454596422469742440771484375}{8796093022208}\cdot t^5+\frac{44514738282595248548684983008215004343749673398914789090994037449570734619140625}{140737488355328}\cdot t^3-\frac{2725392139750729502980713245400918633290796330545803413734328823443106201171875}{281474976710656}\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.