Rule: Q[2, 61]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{63}-\frac{33713875610763036320603276766368371322854}{8912577376109714820850333034596236377}\cdot t^{61}+\frac{14921464975626998397066557360068758335894295}{8912577376109714820850333034596236377}\cdot t^{59}-\frac{139382041306855774215418784128731872318634555}{302121266986769993927129933376143606}\cdot t^{57}+\frac{53674778551877575006418477996942833208726079075}{604242533973539987854259866752287212}\cdot t^{55}-\frac{15365628418828949741962803754576929860608140299385}{1208485067947079975708519733504574424}\cdot t^{53}+\frac{3396735000579976312712103721952868853305591197732685}{2416970135894159951417039467009148848}\cdot t^{51}-\frac{594604872819336055603658068792260869928096981578704875}{4833940271788319902834078934018297696}\cdot t^{49}+\frac{83866252968355934574608895069636632211603308264846592375}{9667880543576639805668157868036595392}\cdot t^{47}-\frac{9647995821387032884721548711442511198202471712985675238125}{19335761087153279611336315736073190784}\cdot t^{45}+\frac{913049558587912093148192273592568023615914460593872867217625}{38671522174306559222672631472146381568}\cdot t^{43}-\frac{71496874578657514675471177813759243369512286555159453539306375}{77343044348613118445345262944292763136}\cdot t^{41}+\frac{4649446524598304365552951491332301754692133545179829080220639375}{154686088697226236890690525888585526272}\cdot t^{39}-\frac{251556577320335678012076232427290147110652868018154443609554558125}{309372177394452473781381051777171052544}\cdot t^{37}+\frac{11326505144563306627640314077085259767126203325576074810327911390625}{618744354788904947562762103554342105088}\cdot t^{35}-\frac{423882146731882234717343732858467433927543501878777833194784852474375}{1237488709577809895125524207108684210176}\cdot t^{33}+\frac{13149826450070859115763515241754245604049670970820255064136564252980625}{2474977419155619790251048414217368420352}\cdot t^{31}-\frac{336756885703833299171907623183427390479296409796058315251354776120746875}{4949954838311239580502096828434736840704}\cdot t^{29}+\frac{7078550048192278984653656169716495655515262281841938007095945634805809375}{9899909676622479161004193656869473681408}\cdot t^{27}-\frac{121212519458617453562256525178830805249848655026191936796651477530827640625}{19799819353244958322008387313738947362816}\cdot t^{25}+\frac{1674872109877873667172879979914537335059256707949031598249009917122061515625}{39599638706489916644016774627477894725632}\cdot t^{23}-\frac{18451608392988135205748274132528237410324202304657694693843174325441534796875}{79199277412979833288033549254955789451264}\cdot t^{21}+\frac{159647685775636200384858581203549102483465704402053719447460823925755862734375}{158398554825959666576067098509911578902528}\cdot t^{19}-\frac{1064410929612021415923429725052202453914730939052953297760448318558856910390625}{316797109651919333152134197019823157805056}\cdot t^{17}+\frac{5337297455171395836715045643943551855679489733951294440795680724070345086328125}{633594219303838666304268394039646315610112}\cdot t^{15}-\frac{19500318498673615329428755952883417184537117415730584815985048100490104257859375}{1267188438607677332608536788079292631220224}\cdot t^{13}+\frac{49751963056882104433962960603611749725661133846597198941884711479654277459421875}{2534376877215354665217073576158585262440448}\cdot t^{11}-\frac{83524569776884628088154849413760319791633346278894273665547604673374196962578125}{5068753754430709330434147152317170524880896}\cdot t^9+\frac{84474704753488293947257096911638620658897063690354516006471977189581970271953125}{10137507508861418660868294304634341049761792}\cdot t^7-\frac{44578421230021496117400590900596325286192287084991182182828886751080670118359375}{20275015017722837321736588609268682099523584}\cdot t^5+\frac{9328501511701064389848680886093975089222003602667169315726021960706407944296875}{40550030035445674643473177218537364199047168}\cdot t^3-\frac{367502833554351297473919174708629846746443049387478506823459516553476695078125}{81100060070891349286946354437074728398094336}\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.