Rule: Q[1, 100]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{101}-5050\cdot t^{99}+12248775\cdot t^{97}-19010098800\cdot t^{95}+21220022785500\cdot t^{93}-18155851495273800\cdot t^{91}+12391368645524368500\cdot t^{89}-6932085659410489578000\cdot t^{87}+3241616556481830188912250\cdot t^{85}-1285841234071125974935192500\cdot t^{83}+437571771954404169270446007750\cdot t^{81}-128884776466569955312385915010000\cdot t^{79}+33091166357791836026455083678817500\cdot t^{77}-7448057904838377862569813449555385000\cdot t^{75}+1476311477566178469187945165894013812500\cdot t^{73}-258649770869594467801727993064631219950000\cdot t^{71}+40171542538183890780455878922850536348484375\cdot t^{69}-5543672870269376927702911291353374016090843750\cdot t^{67}+680947817564755132619507603621239441643158640625\cdot t^{65}-74545866343931088202556621870114633611461577500000\cdot t^{63}+7279403848484870762979654125616693972159223042875000\cdot t^{61}-634348049653681595059655573803740474716732293736250000\cdot t^{59}+49334977861702236779412303944463634192742225208305625000\cdot t^{57}-3423418463794642169562697265015824355287677888367642500000\cdot t^{55}+211824017447293484241691893272854131983425069342747879687500\cdot t^{53}-11675739841694816851402057157199719754926389822172263128375000\cdot t^{51}+572560319160034287905293187516524718751197962433447518795312500\cdot t^{49}-24938182790081493428763881056275298861163289030434603040862500000\cdot t^{47}+962791985574217657017634122208342788175625551496421638827584375000\cdot t^{45}-32867726404085361394739923482284805527374803309705428359976156250000\cdot t^{43}+989318564762969377981671696816772646373981579622133393635282303125000\cdot t^{41}-26169071713084996449837767464185599033118222428714496218739725437500000\cdot t^{39}+605977566856124449041555802842547777610643838114920053065191767162109375\cdot t^{37}-12229729076550875244293217111913236966323902914682931980042961119089843750\cdot t^{35}+214020258839640316775131299458481646910668301006951309650751819584072265625\cdot t^{33}-3228648476209431064493409317545094559109510369476294042731341735439718750000\cdot t^{31}+41703376151038484583039870351624138055164508939068798051946497416096367187500\cdot t^{29}-457610019387070938938221280074578379740453800790863027272710214890138515625000\cdot t^{27}+4226871494864786830718833402794131876023665370462971646650560142801016289062500\cdot t^{25}-32514396114344514082452564636877937507874349003561320358850462636930894531250000\cdot t^{23}+205653555423229051571512471328252954737305257447525351269729176178587907910156250\cdot t^{21}-1053347478997026849512624853144710255971563513755617652844954317012279528320312500\cdot t^{19}+4288629021630752173015686902089177470741365734576443300868742576407138079589843750\cdot t^{17}-13564035975390285942561242294979724093507575346567355556236023032357459972656250000\cdot t^{15}+32368722213999545999293873658474341586779441167944825759199600418125756752929687500\cdot t^{13}-56105785170932546398776047674688858750417698024437697982612640724751311705078125000\cdot t^{11}+67083004008723696781145274393649722418977682420523334544428157388289611821289062500\cdot t^9-51382726474767086896196380386625319299642480151890213693604546084647362246093750000\cdot t^7+22479942832710600517085916419148577193593585066451968490951988912033220982666015625\cdot t^5-4587743435247061330017533963091546366039507156418769079786120186129228771972656250\cdot t^3+275264606114823679801052037785492781962370429385126144787167211167753726318359375\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.