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.

• $P_1$:
  $8589934592\cdot t^{34}-73014444032\cdot t^{32}+282930970624\cdot t^{30}-661693399040\cdot t^{28}+1042167103488\cdot t^{26}-1167945891840\cdot t^{24}+959384125440\cdot t^{22}-586290298880\cdot t^{20}+267776819200\cdot t^{18}-91044118528\cdot t^{16}+22761029632\cdot t^{14}-4093386752\cdot t^{12}+511673344\cdot t^{10}-42170880\cdot t^8+2108544\cdot t^6-55488\cdot t^4+578\cdot t^2-1$
• $P_2$:
  $8589934592\cdot t^{69}-150323855360\cdot t^{67}+1258425417728\cdot t^{65}-6708738916352\cdot t^{63}+25579248156672\cdot t^{61}-74269899882496\cdot t^{59}+170727844085760\cdot t^{57}-318928798613504\cdot t^{55}+493132064882688\cdot t^{53}-639590712803328\cdot t^{51}+702697600450560\cdot t^{49}-658707035750400\cdot t^{47}+529581364515840\cdot t^{45}-366476168701440\cdot t^{43}+218773898013440\cdot t^{41}-112778408184960\cdot t^{39}+50200089791950\cdot t^{37}-19272728236965\cdot t^{35}+6367972006277\cdot t^{33}-1804965057467\cdot t^{31}+\frac{27964935632513}{64}\cdot t^{29}-\frac{11498361324175}{128}\cdot t^{27}+\frac{3986352710613}{256}\cdot t^{25}-\frac{1154967365955}{512}\cdot t^{23}+\frac{4425469016085}{16384}\cdot t^{21}-\frac{864137913639}{32768}\cdot t^{19}+\frac{33814999485}{16384}\cdot t^{17}-\frac{8305072577}{65536}\cdot t^{15}+\frac{12452236891}{2097152}\cdot t^{13}-\frac{858404477}{4194304}\cdot t^{11}+\frac{41396377}{8388608}\cdot t^9-\frac{1298715}{16777216}\cdot t^7+\frac{1514513}{2147483648}\cdot t^5-\frac{13107}{4294967296}\cdot t^3+\frac{17}{4294967296}\cdot t$

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.