Rule: Q[33, 34]

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.

• $P_1$:
  $\frac{1804857108504066435}{2147483648}\cdot t^{33}-\frac{916312070471295267}{134217728}\cdot t^{31}+\frac{6763255758240512685}{268435456}\cdot t^{29}-\frac{7502409393020896585}{134217728}\cdot t^{27}+\frac{44632977914412452565}{536870912}\cdot t^{25}-\frac{11745520503792750675}{134217728}\cdot t^{23}+\frac{18009798105815551035}{268435456}\cdot t^{21}-\frac{5097112671457231425}{134217728}\cdot t^{19}+\frac{17090318957238952425}{1073741824}\cdot t^{17}-\frac{658810481344812225}{134217728}\cdot t^{15}+\frac{294362129962575675}{268435456}\cdot t^{13}-\frac{23192167815233235}{134217728}\cdot t^{11}+\frac{9888133564634325}{536870912}\cdot t^9-\frac{166966608033225}{134217728}\cdot t^7+\frac{12843585233325}{268435456}\cdot t^5-\frac{115707975075}{134217728}\cdot t^3+\frac{9917826435}{2147483648}\cdot t$
• $P_2$:
  $\frac{1804857108504066435}{2147483648}\cdot t^{67}-\frac{695166168453409834531}{49392123904}\cdot t^{65}+\frac{6809719596358751192738345}{60493003751424}\cdot t^{63}-\frac{174411603249689835494190630905}{304703259895922688}\cdot t^{61}+\frac{3101748286656242414110810256532985}{1492741270230125248512}\cdot t^{59}-\frac{6495458904321781314039201853120014119}{1132990624104665063620608}\cdot t^{57}+\frac{2000148501693753548026696314371690915430681521}{160049274981038225819441635000320}\cdot t^{55}-\frac{48785605959280726767986582158628773455136805557}{2208679994738327516308294563004416}\cdot t^{53}+\frac{14475303529473233761167891243354957060735469504193039}{449043416710257259849364905162583310336}\cdot t^{51}-\frac{11128139271183081421464246041550066770195140990574927389}{282728961246195727232656378412991516770304}\cdot t^{49}+\frac{1434882577401765779994802044365513692222099644229103517858685753}{35347475902823280384030237417010663645584996433920}\cdot t^{47}-\frac{38649482822397162754327419847014331420568455659565966390574035589341}{1085344247596188824191648439889312427237687315503513600}\cdot t^{45}+\frac{163755381002663917770732961127382237065832574368483515221346895443934137011}{6132744834314299085941149174474263139568571944988885919989760}\cdot t^{43}-\frac{225232084333912646954102955542771822273692859279394516011742615241015934868673}{13117941200598285744828118084200448855537175390331226982858096640}\cdot t^{41}+\frac{4203905057333227699274446961824871682870225907481091295011469007491279289335049}{443205475460213805958020348237917234091562911980915041303598727168}\cdot t^{39}-\frac{7779006702475463477483193162893616724853748323355784653067811365025813827013373504725183}{1726948927395802465832805051303595554313311987024700310445984888103580467200}\cdot t^{37}+\frac{12905267688379580797651217569199071428168486590245536654643973396653828061597631995559398447213}{7022067920108990112495376915459141135082159802280225661326150372460135788314624000}\cdot t^{35}-\frac{6294174682731815362844866987441424079826633799504658782676453660944076233828765253190136119283867}{9787358267047910418796056344766950914077514332418178526756388389134937261752922931200}\cdot t^{33}+\frac{390940453278493439914159483671954660779540172948834344367880832318123668829454511422219277373}{2031415165431280701286022487498329371954652206811577112236693314473835048101478400}\cdot t^{31}-\frac{234640608308644221390228447840987738523661523106095448216208820350843683626091927099327825847}{4783655066983338425609020696367033682344826164427262232041245546986772855206707200}\cdot t^{29}+\frac{3144482266430051902303734636066908024027041791482017786064770109033817420812417447835010013}{296916521398965833313663353567608987180023692964450759230146275330213487564554240}\cdot t^{27}-\frac{105769066272707790418121771265228468192465301223125067509157509625624604318615217908748763}{54984540999808487650678398808816479107411794993416807264841902838928423623065600}\cdot t^{25}+\frac{640881913716401748622868800062794003893135512514653036054074166862472718641448778822277}{2199381639992339506027135952352659164296471799736672290593676113557136944922624}\cdot t^{23}-\frac{10446835102262248616047984085570578954468515115752959205726079939990900381729849360429}{286875866085957326873104689437303369256061539096087690077436014811800471076864}\cdot t^{21}+\frac{221389183806410951619247280915772965098259324189392708460065444371304860642838930973}{59765805434574443098563476966104868595012820645018268766132503085791764807680}\cdot t^{19}-\frac{72093565307884251860414065852695358918800539362633259521053172959203535159041762581}{239063221738297772394253907864419474380051282580073075064530012343167059230720}\cdot t^{17}+\frac{1517279012582424281395063506320322177344804040010191435124435024298199963288211077151}{78890863173638264890103789595258426545416923251424114771294904073245129546137600}\cdot t^{15}-\frac{4916013170758374798118201428363516187661995068847901988951401237242152676383988613}{5259390878242550992673585973017228436361128216761607651419660271549675303075840}\cdot t^{13}+\frac{175532805575618505696797636203605615801590103860681741816985966185792303717460851}{5259390878242550992673585973017228436361128216761607651419660271549675303075840}\cdot t^{11}-\frac{3583129090577805242478325130013201785280815575104368972926882607719097136406481}{4303137991289359903096570341559550538840923086441315351161540222177007066152960}\cdot t^9+\frac{6454646918263861259404257124435201812850427825430495726698404844956478418499}{478126443476595544788507815728838948760102565160146150129060024686334118461440}\cdot t^7-\frac{303577596394795399041579129390975781000460580484359363979024510574846288747}{2390632217382977723942539078644194743800512825800730750645300123431670592307200}\cdot t^5+\frac{3251856886941652738567520916691639778839973951748767702690263170775805677}{5737517321719146537462093788746067385121230781921753801548720296236009421537280}\cdot t^3-\frac{1448746936641679717732780770718397188276636593443213889170410877364113}{1912505773906382179154031262915355795040410260640584600516240098745336473845760}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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