Rule: Q[10, 31]

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.

• $P_1$:
  $\frac{46189}{256}\cdot t^{10}-\frac{109395}{256}\cdot t^8+\frac{45045}{128}\cdot t^6-\frac{15015}{128}\cdot t^4+\frac{3465}{256}\cdot t^2-\frac{63}{256}$
• $P_2$:
  $\frac{46189}{256}\cdot t^{41}-\frac{485744801018966872005680324261858886773010097250985}{269876328992539857155697506407398442230832338688}\cdot t^{39}+\frac{51615984620059618713968189693153959781398885078335345}{6207155566828416714581042647370164171309143789824}\cdot t^{37}-\frac{29457349694680006114193027739397931208235697902416803041}{1247638268932511759630789572121402998433137901754624}\cdot t^{35}+\frac{412205833890364903018018299130185449771736468032152928495}{8941407594016334277353991933536721488770821629241472}\cdot t^{33}-\frac{293414261846176136383896494661851402672635194084774433423}{4470703797008167138676995966768360744385410814620736}\cdot t^{31}+\frac{172979115362557054804822416115130654982381971164289662786945}{2454416384557483759133670785755830048667590537226784064}\cdot t^{29}-\frac{937373593140681452663402737994025354814820191056014022368355}{16090062965432393532098508484399330319043093521820028864}\cdot t^{27}+\frac{1206826062191709454953356813047099856088158886381338654966169}{32180125930864787064197016968798660638086187043640057728}\cdot t^{25}-\frac{6689443616202974051526276431949556997599987709123183968949125}{353981385239512657706167186656785267018948057480040635008}\cdot t^{23}+\frac{552769691768355472635330473736602447774351718551781482484795}{74154203231992770191410517362883870166024691883170567808}\cdot t^{21}-\frac{169864846724869955075326518611088421812728652186347485416675}{74154203231992770191410517362883870166024691883170567808}\cdot t^{19}+\frac{5033902856615758907577329053431524865838603943883694693775}{9269275403999096273926314670360483770753086485396320976}\cdot t^{17}-\frac{170455914119509745420312851343078667874973577115218295122345}{1742623775951830099498147158027770948901580259254508343488}\cdot t^{15}+\frac{3396912681511424654102763194107915229012368392454931690475}{259539711311974695669936810770093545581086421591096987328}\cdot t^{13}-\frac{1982726180301075145066919716189134312829674795402904684931765}{1573589269684502579846826883699077166858126974106821034169664}\cdot t^{11}+\frac{174840921885121663349371770414698639535397418896630054051275}{2098119026246003439795769178265436222477502632142428045559552}\cdot t^9-\frac{1058995009121446955654212140698273289560975270821937513175}{299731289463714777113681311180776603211071804591775435079936}\cdot t^7+\frac{25764134631377243550721635505717497702193411691697605785}{299731289463714777113681311180776603211071804591775435079936}\cdot t^5-\frac{294415919040899179517732199606619201149044897374205025}{299731289463714777113681311180776603211071804591775435079936}\cdot t^3+\frac{5472636429176224517556988168512311256267619693374975}{1648522092050431274125247211494271317660894925254764892939648}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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