Rule: Q[38, 39]

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.

• $P_1$:
  $137438953472\cdot t^{38}-1305670057984\cdot t^{36}+5712306503680\cdot t^{34}-15260018802688\cdot t^{32}+27827093110784\cdot t^{30}-36681168191488\cdot t^{28}+36108024938496\cdot t^{26}-27039419596800\cdot t^{24}+15547666268160\cdot t^{22}-6880289095680\cdot t^{20}+2334383800320\cdot t^{18}-601280675840\cdot t^{16}+115630899200\cdot t^{14}-16188325888\cdot t^{12}+1589924864\cdot t^{10}-103690752\cdot t^8+4124064\cdot t^6-86640\cdot t^4+722\cdot t^2-1$
• $P_2$:
  $137438953472\cdot t^{77}-2680059592704\cdot t^{75}+25116968747008\cdot t^{73}-150650272874496\cdot t^{71}+649718493347840\cdot t^{69}-2146081609613312\cdot t^{67}+5646859523588096\cdot t^{65}-12154705371201536\cdot t^{63}+21810668478922752\cdot t^{61}-33084448534691840\cdot t^{59}+42869761649934336\cdot t^{57}-47829843284328448\cdot t^{55}+46225879642349568\cdot t^{53}-38875093048897536\cdot t^{51}+28541894168985600\cdot t^{49}-18335377600296960\cdot t^{47}+10319653303387680\cdot t^{45}-5091199382087280\cdot t^{43}+2201040542399160\cdot t^{41}-832979036805300\cdot t^{39}+\frac{2203661208153405}{8}\cdot t^{37}-\frac{1270245305056455}{16}\cdot t^{35}+\frac{317986441828055}{16}\cdot t^{33}-\frac{68842914507185}{16}\cdot t^{31}+\frac{410268308308075}{512}\cdot t^{29}-\frac{130597282505669}{1024}\cdot t^{27}+\frac{35249111410527}{2048}\cdot t^{25}-\frac{7990239579257}{4096}\cdot t^{23}+\frac{48115078418451}{262144}\cdot t^{21}-\frac{7410623527505}{524288}\cdot t^{19}+\frac{229488985407}{262144}\cdot t^{17}-\frac{44730788399}{1048576}\cdot t^{15}+\frac{213414110077}{134217728}\cdot t^{13}-\frac{11726954603}{268435456}\cdot t^{11}+\frac{451512295}{536870912}\cdot t^9-\frac{11323221}{1073741824}\cdot t^7+\frac{2641171}{34359738368}\cdot t^5-\frac{18297}{68719476736}\cdot t^3+\frac{19}{68719476736}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev T (first kind) type can be downloaded here packed into a single file.