Rule: Q[29, 30]

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.

• $P_1$:
  $\frac{1879204156221315}{33554432}\cdot t^{29}-\frac{6692604275665385}{16777216}\cdot t^{27}+\frac{42710983650155457}{33554432}\cdot t^{25}-\frac{20146690401016725}{8388608}\cdot t^{23}+\frac{99943385714847675}{33554432}\cdot t^{21}-\frac{42832879592077575}{16777216}\cdot t^{19}+\frac{51946258228689825}{33554432}\cdot t^{17}-\frac{2803448856786435}{4194304}\cdot t^{15}+\frac{6845630929362225}{33554432}\cdot t^{13}-\frac{723521968143975}{16777216}\cdot t^{11}+\frac{204070298707275}{33554432}\cdot t^9-\frac{4512611027925}{8388608}\cdot t^7+\frac{902522205585}{33554432}\cdot t^5-\frac{10518906825}{16777216}\cdot t^3+\frac{145422675}{33554432}\cdot t$
• $P_2$:
  $\frac{1879204156221315}{33554432}\cdot t^{59}-\frac{1690327654274088445}{2046820352}\cdot t^{57}+\frac{360781177118241010311}{62428020736}\cdot t^{55}-\frac{1264093933764873046170445}{49505420443648}\cdot t^{53}+\frac{679367779092575787417331770235}{8497803440833953792}\cdot t^{51}-\frac{749951074165949798186885104618145}{3974139409163345723392}\cdot t^{49}+\frac{136592823479667109176647183690744468465}{391572949519716744962244608}\cdot t^{47}-\frac{8126294850122682407549507815681320978648487}{15693069097901687987851877154816}\cdot t^{45}+\frac{125323628242382925261050596505499309106597081365}{199539117254164174064201934898724864}\cdot t^{43}-\frac{897158339686468223545002700895222449446845045894215}{1424110679842969710296209209372199354368}\cdot t^{41}+\frac{873385847545677970447947294430254462492530960215764665047}{1657363631928429954691059871461457828320903168}\cdot t^{39}-\frac{740350801681511867672795482482033769544288292368389601}{2002717488711282011769866923380062350737408}\cdot t^{37}+\frac{483490936814322497065713906947269177149792715076336530127824163566943}{2215797718614181651045977631173682115659566491158582394880}\cdot t^{35}-\frac{17223029904446258245822062001646527170257439665760341001538465938089}{158704885521094028235387047555688386366223353378481635328}\cdot t^{33}+\frac{138869407032140248636511524448306484613033705048087800172033586285972516693}{3054560192129154472424253112584649030173996750316361999217328128}\cdot t^{31}-\frac{26462486145961205762693808863211413015500478838287581121681397748472880357493955}{1652792992545894903202196591439465271953191292960930419610503815888896}\cdot t^{29}+\frac{8305604190489999992969911824759092891679683533003100771846345106199134626246645}{1758636878768045808333371742615391619418173986598822515447629676019712}\cdot t^{27}-\frac{29072896984708467804714117965109971330296062656523345924780599802344880645149}{25051807389858202397911278384834638453250341689441916174467659202560}\cdot t^{25}+\frac{590742879715114665467341564633907647135235207213114846832390771549560301755}{2505180738985820239791127838483463845325034168944191617446765920256}\cdot t^{23}-\frac{12821656665504493682811959814068952477300554129673841398840309122968179685}{326762705085106987798842761541321371129352282905764124014795554816}\cdot t^{21}+\frac{164333022139265855236992897983850061912359247225369091192729323418593105}{31120257627153046457032643956316321059938312657691821334742433792}\cdot t^{19}-\frac{6037504845393764603335705676382621621668643540387109505184673013773053245}{10674248366113494934762196877016498123558841241588294717816654790656}\cdot t^{17}+\frac{378162599181580286508139119506335533554296193037215750328410213822102893}{8005686274585121201071647657762373592669130931191221038362491092992}\cdot t^{15}-\frac{1141467518367684669225771008848894637505801948917465964446930163020635}{381223155932624819098649888464874932984244330056724811350594813952}\cdot t^{13}+\frac{16301997304053673146314499277122313353789459845202191479732646951735}{117299432594653790491892273373807671687459793863607634261721481216}\cdot t^{11}-\frac{61690129095094753248580642499392916301952270126910762421082164805505}{13724033613574493487551395984735497587432795882042093208621413302272}\cdot t^9+\frac{71879215283593652565317467178970737052050575862191312301660840405}{762446311865249638197299776929749865968488660113449622701189627904}\cdot t^7-\frac{1757098861613021985082082661361478712748749843024832349946319}{1534097206972333276050904983762072164926536539463681333402796032}\cdot t^5+\frac{2745770343773126031456027753150337217905643122529183853931043545}{416295686278426302455725678203643426818794808421943493994849536835584}\cdot t^3-\frac{1577479406118044017005675656259851708249785510190788130519105}{138765228759475434151908559401214475606264936140647831331616512278528}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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