Rule: Q[34, 35]

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.

• $P_1$:
  $\frac{7113260368810144185}{4294967296}\cdot t^{34}-\frac{59560284580634192355}{4294967296}\cdot t^{32}+\frac{28405674184610153277}{536870912}\cdot t^{30}-\frac{65378138996324955955}{536870912}\cdot t^{28}+\frac{202565053611564207795}{1073741824}\cdot t^{26}-\frac{223164889572062262825}{1073741824}\cdot t^{24}+\frac{90048990529077755175}{536870912}\cdot t^{22}-\frac{54029394317446653105}{536870912}\cdot t^{20}+\frac{96845140757687397075}{2147483648}\cdot t^{18}-\frac{32281713585895799025}{2147483648}\cdot t^{16}+\frac{1976431444034436675}{536870912}\cdot t^{14}-\frac{347882517228498525}{536870912}\cdot t^{12}+\frac{85037948655855195}{1073741824}\cdot t^{10}-\frac{6845630929362225}{1073741824}\cdot t^8+\frac{166966608033225}{536870912}\cdot t^6-\frac{4281195077775}{536870912}\cdot t^4+\frac{347123925225}{4294967296}\cdot t^2-\frac{583401555}{4294967296}$
• $P_2$:
  $\frac{7113260368810144185}{4294967296}\cdot t^{69}-\frac{8710134237575418493755}{304942678016}\cdot t^{67}+\frac{372364875759478920694336863}{1580517900156928}\cdot t^{65}-\frac{138836583081902647093087598845}{112216770911141888}\cdot t^{63}+\frac{3715313293871594261198081855589555}{799726844994616557568}\cdot t^{61}-\frac{59574543452636153607578293309595719143}{4485667873574804271398912}\cdot t^{59}+\frac{698680911777189792077705171040366925742327}{23249216588738210538660560896}\cdot t^{57}-\frac{37844888063015916024844963093673644229317035963}{685038166787171373521633426800640}\cdot t^{55}+\frac{22319035023048495031133746076598205603551086538808455}{265581350820651610326404428622857240576}\cdot t^{53}-\frac{175868163849035470672233847471072374410435007759571349491}{1640496004019164996986200155603389175037952}\cdot t^{51}+\frac{397899344405320052609176422926256736299755225254365001991655163}{3435771203234086008805579976037231379797287895040}\cdot t^{49}-\frac{754909657996760976352533435387643851504468840934566495761079209581}{7074252907458983092130689170660659411002615775887360}\cdot t^{47}+\frac{23717092840345904835944102773310446254089553077305100273898247290116571737}{281318755756538904614573769726596132062145762928389573836800}\cdot t^{45}-\frac{25438405328611970202511323835997387591326644739532215437760993147201102343}{443858481304761382836327503346407230586941092620347994275840}\cdot t^{43}+\frac{5142938812452858009151632275670269477191293447715696944761453952676411242388757}{153070037295531879905245938485103266706939366646658873396895416320}\cdot t^{41}-\frac{26496044781202095615774050055373460983931683357224972480520203873432984049072925423719}{1558304258131008540615171911167743764670989577150813961902983298102067200}\cdot t^{39}+\frac{1510654413774237716324155886284507224760297373587415133558940401452079071418537555669201357851}{203392616464492556137468441368406786284208400112699459941235611856197534718361600}\cdot t^{37}-\frac{20803263184514034821884796051655485186863014561332466615815065363810849692540746022609031777401347}{7437051021024170315166533558635794140482080150120855752751280147521862856976891904000}\cdot t^{35}+\frac{77856825878391633186638058336821032707775811947073916573642020770135608659219912633737566365813}{85903904841776512731335360891194199697547022054871916716271471222712426583262494720}\cdot t^{33}-\frac{1162981677177658740115449635890809500820467796528507020094145088931251055607088950558270082083}{4618489507622393157598675316730870951481022691122146060014595227027549816304435200}\cdot t^{31}+\frac{118902387075627903993602408712980315517664838590152556952525679751819169323040195589022729}{1990728236044134981723566946866754720465958056518166405178704839236012851855360}\cdot t^{29}-\frac{6045604064365284441002014263264516511299846975068468041661508973118761761329443045499}{502709150516195702455446198703725939511605569827819799287551727079801225216}\cdot t^{27}+\frac{9027921333614602342921450349255538928704623123465710595360969056148266495540251460807791}{4423840524542522181607926548592788267702129014484814233730455198302250781900800}\cdot t^{25}-\frac{255936464702756169994905998631321840650312407200243403976282216087641026980443626479709}{884768104908504436321585309718557653540425802896962846746091039660450156380160}\cdot t^{23}+\frac{89914349668684513223960789929125309911141417814933410670316217035236837459961216991387}{2654304314725513308964755929155672960621277408690888540238273118981350469140480}\cdot t^{21}-\frac{2860310530528381197877718724083709005251575387703220508847415718025426498321034656849}{884768104908504436321585309718557653540425802896962846746091039660450156380160}\cdot t^{19}+\frac{437397515872557851328245637188679179956064491308255961271669737099947213501639871859}{1769536209817008872643170619437115307080851605793925693492182079320900312760320}\cdot t^{17}-\frac{12980343674571981417684341116850859085706994047483643285966755396892201189364000471051}{875920423859419391958369456621372077005021544867993218278630129263845654816358400}\cdot t^{15}+\frac{4945738879266111939331629369236189328739090063469563921673116718582952458062632577}{7299336865495161599653078805178100641708512873899943485655251077198713790136320}\cdot t^{13}-\frac{7556556618717609878673864464391604727157882115600357704217617902642626840127239}{331788039340689163620594491144459120077659676086361067529784139872668808642560}\cdot t^{11}+\frac{1420592672586947970864927763443728331597532972106534247582041805658293423901309}{2654304314725513308964755929155672960621277408690888540238273118981350469140480}\cdot t^9-\frac{7234096656486268841045781228915303101959779559965283018589897582076008499369}{884768104908504436321585309718557653540425802896962846746091039660450156380160}\cdot t^7+\frac{116618621091273835703020372747152801045918807299406188142720857224465614843}{1608669281651826247857427835851923006437137823449023357720165526655363920691200}\cdot t^5-\frac{18352768741426383412674893122403445347619273800856702162700727586213704217}{60164231133778301669867801060861920440748954596993473578734190696910610633850880}\cdot t^3+\frac{2312887691345454491923809918022880113850289650812673770652742600818583}{6016423113377830166986780106086192044074895459699347357873419069691061063385088}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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