Rule: Q[14, 56]

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.

• $P_1$:
  $8192\cdot t^{14}-28672\cdot t^{12}+39424\cdot t^{10}-26880\cdot t^8+9408\cdot t^6-1568\cdot t^4+98\cdot t^2-1$
• $P_2$:
  $8192\cdot t^{70}-143360\cdot t^{68}+1200640\cdot t^{66}-6406400\cdot t^{64}+24460800\cdot t^{62}-71162112\cdot t^{60}+164006430\cdot t^{58}-307372595\cdot t^{56}+\frac{3817369325}{8}\cdot t^{54}-\frac{9950192175}{16}\cdot t^{52}+\frac{87959698827}{128}\cdot t^{50}-\frac{166025625675}{256}\cdot t^{48}+\frac{269076014025}{512}\cdot t^{46}-\frac{375834918375}{1024}\cdot t^{44}+\frac{3627957477375}{16384}\cdot t^{42}-\frac{3786268349115}{32768}\cdot t^{40}+\frac{27345271410275}{524288}\cdot t^{38}-\frac{21335988680825}{1048576}\cdot t^{36}+\frac{57443046448375}{8388608}\cdot t^{34}-\frac{33256500575375}{16777216}\cdot t^{32}+\frac{8247612142693}{16777216}\cdot t^{30}-\frac{3486599885395}{33554432}\cdot t^{28}+\frac{19968708434535}{1073741824}\cdot t^{26}-\frac{6003543238875}{2147483648}\cdot t^{24}+\frac{6003543238875}{17179869184}\cdot t^{22}-\frac{1232727545049}{34359738368}\cdot t^{20}+\frac{818944872585}{274877906944}\cdot t^{18}-\frac{107922967705}{549755813888}\cdot t^{16}+\frac{11012547725}{1099511627776}\cdot t^{14}-\frac{842844275}{2199023255552}\cdot t^{12}+\frac{370851481}{35184372088832}\cdot t^{10}-\frac{13803405}{70368744177664}\cdot t^8+\frac{5085465}{2251799813685248}\cdot t^6-\frac{62475}{4503599627370496}\cdot t^4+\frac{1225}{36028797018963968}\cdot t^2-\frac{1}{72057594037927936}$

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.