Rule: Q[43, 44]

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.

• $P_1$:
  $4398046511104\cdot t^{43}-47278999994368\cdot t^{41}+236394999971840\cdot t^{39}-729869562413056\cdot t^{37}+1557990796689408\cdot t^{35}-2439485589553152\cdot t^{33}+2901009890279424\cdot t^{31}-2676526982103040\cdot t^{29}+1940482062024704\cdot t^{27}-1112923535572992\cdot t^{25}+505874334351360\cdot t^{23}-181798588907520\cdot t^{21}+51314117836800\cdot t^{19}-11249633525760\cdot t^{17}+1884175073280\cdot t^{15}-235521884160\cdot t^{13}+21262392320\cdot t^{11}-1322886400\cdot t^9+52915456\cdot t^7-1218448\cdot t^5+13244\cdot t^3-43\cdot t$
• $P_2$:
  $4398046511104\cdot t^{87}-96757023244288\cdot t^{85}+1027768494063616\cdot t^{83}-7021206377070592\cdot t^{81}+34668632415928320\cdot t^{79}-131833918071504896\cdot t^{77}+401711242911154176\cdot t^{75}-1007640360685404160\cdot t^{73}+2121289813846917120\cdot t^{71}-3802303807933644800\cdot t^{69}+5866983249485496320\cdot t^{67}-7859650409428680704\cdot t^{65}+9202528147667419136\cdot t^{63}-9466658485564342272\cdot t^{61}+8590941486552842240\cdot t^{59}-6899134710656139264\cdot t^{57}+4914314202361999360\cdot t^{55}-3109888090887266304\cdot t^{53}+1750112349035052288\cdot t^{51}-876195558317164800\cdot t^{49}+390200429760173760\cdot t^{47}-154466412511031040\cdot t^{45}+\frac{217160000552617605}{4}\cdot t^{43}-\frac{67647602652164535}{4}\cdot t^{41}+\frac{298151153683675425}{64}\cdot t^{39}-\frac{36208289698311549}{32}\cdot t^{37}+\frac{247263912916191801}{1024}\cdot t^{35}-\frac{46165231018240817}{1024}\cdot t^{33}+\frac{15005344154945683}{2048}\cdot t^{31}-\frac{32968493968795}{32}\cdot t^{29}+\frac{8156405407879883}{65536}\cdot t^{27}-\frac{839333382817293}{65536}\cdot t^{25}+\frac{4661706374467415}{4194304}\cdot t^{23}-\frac{168538268481765}{2097152}\cdot t^{21}+\frac{320212591254325}{67108864}\cdot t^{19}-\frac{15333776480505}{67108864}\cdot t^{17}+\frac{2316478771061}{268435456}\cdot t^{15}-\frac{16765348991}{67108864}\cdot t^{13}+\frac{91743450617}{17179869184}\cdot t^{11}-\frac{1376030315}{17179869184}\cdot t^9+\frac{215320479}{274877906944}\cdot t^7-\frac{612535}{137438953472}\cdot t^5+\frac{53019}{4398046511104}\cdot t^3-\frac{43}{4398046511104}\cdot t$

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.