Rule: Q[2, 73]

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^{75}-\frac{204623533554929702466024577774647836273293493024779}{75536899516705812539780176594837420043801504647}\cdot t^{73}+\frac{262316672629615018526285143465189087149499683199530762}{75536899516705812539780176594837420043801504647}\cdot t^{71}-\frac{2983843591960611426809163236902394036752070026585855710}{1063899993193039613236340515420245352729598657}\cdot t^{69}+\frac{1705146700901656439381042382725951876289726558892419508845}{1063899993193039613236340515420245352729598657}\cdot t^{67}-\frac{734171011549362793262209355043224875240773781668406159477305}{1063899993193039613236340515420245352729598657}\cdot t^{65}+\frac{247633066012804544463775546394278394672559899384789262876361680}{1063899993193039613236340515420245352729598657}\cdot t^{63}-\frac{67170230598090566446465866068226634294000783693744164940364877840}{1063899993193039613236340515420245352729598657}\cdot t^{61}+\frac{14926128684356732115899398635897845193509245061276473716868933742100}{1063899993193039613236340515420245352729598657}\cdot t^{59}-\frac{2754152426810424765101934303251846508062978040979327462545545141285700}{1063899993193039613236340515420245352729598657}\cdot t^{57}+\frac{426240838398118114288482116027213225937630012830033567586958653211261800}{1063899993193039613236340515420245352729598657}\cdot t^{55}-\frac{55744058179434478869003894829483286140435178593168473740472520752898993800}{1063899993193039613236340515420245352729598657}\cdot t^{53}+\frac{6194753431276625913490700508792788348488503409666764087545029078174882854900}{1063899993193039613236340515420245352729598657}\cdot t^{51}-\frac{587307256273765033999481041976914512046862931452151481670222400354779026942500}{1063899993193039613236340515420245352729598657}\cdot t^{49}+\frac{47632381170167399916924043937374897091325379008937569399361008315562110852510000}{1063899993193039613236340515420245352729598657}\cdot t^{47}-\frac{3310090666081263898206727097128852143969475185982790793322375009095328593375990000}{1063899993193039613236340515420245352729598657}\cdot t^{45}+\frac{197224978242133700248528550847448614823866273592141621525718251170416015875080108750}{1063899993193039613236340515420245352729598657}\cdot t^{43}-\frac{10073129479882455570961813170101453025022235697446650037135113966688934897448459713750}{1063899993193039613236340515420245352729598657}\cdot t^{41}+\frac{440528243496576933439182681117407545768431079414298751504554382776605430803925619262500}{1063899993193039613236340515420245352729598657}\cdot t^{39}-\frac{16464609616808504743847427728277540362148118771851754384711856042424549268239434877712500}{1063899993193039613236340515420245352729598657}\cdot t^{37}+\frac{524428970650441952482772138736107008429603267369977053442844835513497508279688161119443750}{1063899993193039613236340515420245352729598657}\cdot t^{35}-\frac{14183282496732886414870373133416204479324101756389902766452237836403963234598422322980068750}{1063899993193039613236340515420245352729598657}\cdot t^{33}+\frac{324185859800878020225492856063425049275426662495130936448572927998211929630536321941821550000}{1063899993193039613236340515420245352729598657}\cdot t^{31}-\frac{6226409432664241148684999650872193645082166109528715479285471686263863689490451577453759750000}{1063899993193039613236340515420245352729598657}\cdot t^{29}+\frac{99785097993894214229112784752672234534142635233881378259074974883843275489084640291902041062500}{1063899993193039613236340515420245352729598657}\cdot t^{27}-\frac{1323131047316465620329312728776381633075259924693223888029732914533788910842619545235566834812500}{1063899993193039613236340515420245352729598657}\cdot t^{25}+\frac{14368607524599882379406330303368212614897968277339460291946767481135595005597970085840334766625000}{1063899993193039613236340515420245352729598657}\cdot t^{23}-\frac{126221871940621527066203483414508317964651627311199781338169436992457705926911782002757722831125000}{1063899993193039613236340515420245352729598657}\cdot t^{21}+\frac{883534272519386727662551816008692049589444972399417982888504840240391828788041610119808982479062500}{1063899993193039613236340515420245352729598657}\cdot t^{19}-\frac{4837557601302867324075405296409164247238774777034042433850563876530586123939512766980616981962812500}{1063899993193039613236340515420245352729598657}\cdot t^{17}+\frac{20242737146397884728490220626410741697663589842670875986388711831543345948666874736777964433551250000}{1063899993193039613236340515420245352729598657}\cdot t^{15}-\frac{62848302662044869249130755175983663703990228164279992213831002561146569491123729601309640246176250000}{1063899993193039613236340515420245352729598657}\cdot t^{13}+\frac{139260458109526523954094178528984902387733813095749564533833849279601619697069205904961584193269765625}{1063899993193039613236340515420245352729598657}\cdot t^{11}-\frac{208880297467197798522386902194182707494985741735111080077424383027347460432540534844551533810808203125}{1063899993193039613236340515420245352729598657}\cdot t^9+\frac{196580997972548531069594301360060611658086606446559526280721312388027057921140181015000452434764843750}{1063899993193039613236340515420245352729598657}\cdot t^7-\frac{103196773293779635869290894355768425698771809457094980664148908001199965230577759787344274383086718750}{1063899993193039613236340515420245352729598657}\cdot t^5+\frac{24568041056675042526895891082083467889636570846181734877740285713773248807908725268246743695920703125}{1063899993193039613236340515420245352729598657}\cdot t^3-\frac{1659755007078393475773863095388120340238997762058862848098674530134401490683897796036763068187890625}{1063899993193039613236340515420245352729598657}\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.