Rule: Q[21, 64]

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.

• $P_1$:
  $1048576\cdot t^{21}-5505024\cdot t^{19}+12386304\cdot t^{17}-15597568\cdot t^{15}+12042240\cdot t^{13}-5870592\cdot t^{11}+1793792\cdot t^9-329472\cdot t^7+33264\cdot t^5-1540\cdot t^3+21\cdot t$
• $P_2$:
  $1048576\cdot t^{85}-22544384\cdot t^{83}+233832448\cdot t^{81}-1558446080\cdot t^{79}+7500353536\cdot t^{77}-27772000256\cdot t^{75}+82313763840\cdot t^{73}-200612129280\cdot t^{71}+409852981200\cdot t^{69}-712033449656\cdot t^{67}+1063421527432\cdot t^{65}-1376896296464\cdot t^{63}+\frac{3111484832911}{2}\cdot t^{61}-\frac{6167298918865}{4}\cdot t^{59}+\frac{10764573301519}{8}\cdot t^{57}-\frac{16594616082417}{16}\cdot t^{55}+\frac{724590381004479}{1024}\cdot t^{53}-\frac{876386828841381}{2048}\cdot t^{51}+\frac{117537743465025}{512}\cdot t^{49}-\frac{447564281106705}{4096}\cdot t^{47}+\frac{48368073978063525}{1048576}\cdot t^{45}-\frac{36183601418599635}{2097152}\cdot t^{43}+\frac{23947643403612915}{4194304}\cdot t^{41}-\frac{13992539490017025}{8388608}\cdot t^{39}+\frac{115172762172777855}{268435456}\cdot t^{37}-\frac{51988764864122541}{536870912}\cdot t^{35}+\frac{10253511006056829}{536870912}\cdot t^{33}-\frac{1758390578322763}{536870912}\cdot t^{31}+\frac{8341028974105135}{17179869184}\cdot t^{29}-\frac{2122571584427329}{34359738368}\cdot t^{27}+\frac{459760634073923}{68719476736}\cdot t^{25}-\frac{83925275384405}{137438953472}\cdot t^{23}+\frac{816426728002655}{17592186044416}\cdot t^{21}-\frac{101842634229525}{35184372088832}\cdot t^{19}+\frac{2560318641699}{17592186044416}\cdot t^{17}-\frac{405953191227}{70368744177664}\cdot t^{15}+\frac{789130130801}{4503599627370496}\cdot t^{13}-\frac{35385125399}{9007199254740992}\cdot t^{11}+\frac{1113061235}{18014398509481984}\cdot t^9-\frac{22825561}{36028797018963968}\cdot t^7+\frac{4356373}{1152921504606846976}\cdot t^5-\frac{24703}{2305843009213693952}\cdot t^3+\frac{21}{2305843009213693952}\cdot t$

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.