Rule: Q[25, 26]

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.

• $P_1$:
  $\frac{15801325804719}{4194304}\cdot t^{25}-\frac{24185702762325}{1048576}\cdot t^{23}+\frac{130191123380175}{2097152}\cdot t^{21}-\frac{101259762629025}{1048576}\cdot t^{19}+\frac{402684172315425}{4194304}\cdot t^{17}-\frac{33393321606645}{524288}\cdot t^{15}+\frac{29968365544425}{1048576}\cdot t^{13}-\frac{4512611027925}{524288}\cdot t^{11}+\frac{7091245901025}{4194304}\cdot t^9-\frac{214886239425}{1048576}\cdot t^7+\frac{29113619535}{2097152}\cdot t^5-\frac{456326325}{1048576}\cdot t^3+\frac{16900975}{4194304}\cdot t$
• $P_2$:
  $\frac{15801325804719}{4194304}\cdot t^{51}-\frac{10673634343069269}{222298112}\cdot t^{49}+\frac{23326249653164929653}{80999874560}\cdot t^{47}-\frac{4006062564012627264237}{3707585167360}\cdot t^{45}+\frac{159577319738215998137645530677}{56113115080740044800}\cdot t^{43}-\frac{1559893582858087962178663772439}{279528044770466201600}\cdot t^{41}+\frac{10638853855760176687551397408471653201}{1255949729123545450446848000}\cdot t^{39}-\frac{123275978125997190758607996167010266043}{12102788298826892522487808000}\cdot t^{37}+\frac{120960969454791211339671099722254925797214263203}{12272512476702789379390467124756480000}\cdot t^{35}-\frac{135845739078098387119641614123375823097168304781}{17518869736389109695905245551709388800}\cdot t^{33}+\frac{1119413580327626577191823855183058886652448326317252566791}{224283615825076976875415016946149730919219200000}\cdot t^{31}-\frac{51992409205301219232011174932117038399187335296575833130557}{19721666127891427807522288649196666111964979200000}\cdot t^{29}+\frac{12965223980791473699129533607010574693998852999993980640210529843327}{11342282024674081715178154399782504349514496993148928000000}\cdot t^{27}-\frac{376005714143592894057048313006916328987684978658739367087354782961}{926257237762290186293439419396722235014280956297216000000}\cdot t^{25}+\frac{88296552676415850134043488387234723441792079954453007462674194049}{751426184134657913630552728985590913155335425796116480000}\cdot t^{23}-\frac{653797249584476684688185485291066983165118320344201036238424671}{23760511751293530865788228584524613854714163661537280000}\cdot t^{21}+\frac{1960638236996477423599534445125495026974644261662214042672812753}{380168188020696493852611657352393821675426618584596480000}\cdot t^{19}-\frac{76293104025613917094264296501793215383830822436995410342740841}{100044260005446445750687278250629953072480689101209600000}\cdot t^{17}+\frac{1091316981339749374493558112244022886178729326401289516360693}{12505532500680805718835909781328744134060086137651200000}\cdot t^{15}-\frac{9419758973264594871300926447455372868004959819914155503379}{1250553250068080571883590978132874413406008613765120000}\cdot t^{13}+\frac{4738444910409675106221882262249190422556497140361571076279}{10004426000544644575068727825062995307248068910120960000}\cdot t^{11}-\frac{206757385233507138910172481384008105466285539850355196901}{10004426000544644575068727825062995307248068910120960000}\cdot t^9+\frac{331308686755532981323280794183912399970725928062957647}{568433295485491169037995899151306551548185733529600000}\cdot t^7-\frac{1306719840068345111413942709617484178374478270083712801}{137560857507488862907195007594616185474660947514163200000}\cdot t^5+\frac{133271030231119226709288228735468346710023276134491}{1818986545553571740921586877284180964954194347294720000}\cdot t^3-\frac{37195802433697605465648415993798269768915251846853}{220097372011982180651512012151385896759457516022661120000}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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