Rule: Q[1, 46, 48]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{47}-\frac{47}{4}\cdot t^{45}+\frac{517}{8}\cdot t^{43}-\frac{14147}{64}\cdot t^{41}+\frac{67445}{128}\cdot t^{39}-\frac{475969}{512}\cdot t^{37}+\frac{1288599}{1024}\cdot t^{35}-\frac{21906183}{16384}\cdot t^{33}+\frac{18536001}{16384}\cdot t^{31}-\frac{50404915}{65536}\cdot t^{29}+\frac{55309177}{131072}\cdot t^{27}-\frac{196096173}{1048576}\cdot t^{25}+\frac{140068695}{2097152}\cdot t^{23}-\frac{160350135}{8388608}\cdot t^{21}+\frac{72886425}{16777216}\cdot t^{19}-\frac{830905245}{1073741824}\cdot t^{17}+\frac{455657715}{4294967296}\cdot t^{15}-\frac{187623765}{17179869184}\cdot t^{13}+\frac{28035735}{34359738368}\cdot t^{11}-\frac{11593725}{274877906944}\cdot t^9+\frac{772915}{549755813888}\cdot t^7-\frac{59455}{2199023255552}\cdot t^5+\frac{1081}{4398046511104}\cdot t^3-\frac{47}{70368744177664}\cdot t$
• $P_3$:
  $t^{95}-24\cdot t^{93}+\frac{4463}{16}\cdot t^{91}-\frac{33465}{16}\cdot t^{89}+\frac{1455773}{128}\cdot t^{87}-\frac{3058891}{64}\cdot t^{85}+\frac{661684387}{4096}\cdot t^{83}-\frac{1848281599}{4096}\cdot t^{81}+\frac{34808657445}{32768}\cdot t^{79}-\frac{17519838453}{8192}\cdot t^{77}+\frac{1952439734817}{524288}\cdot t^{75}-\frac{2966486362515}{524288}\cdot t^{73}+\frac{31683641628015}{4194304}\cdot t^{71}-\frac{18688548994675}{2097152}\cdot t^{69}+\frac{2504770739002055}{268435456}\cdot t^{67}-\frac{2336204168077175}{268435456}\cdot t^{65}+\frac{7785597261254945}{1073741824}\cdot t^{63}-\frac{362916677050215}{67108864}\cdot t^{61}+\frac{62127551579818675}{17179869184}\cdot t^{59}-\frac{37289942787224829}{17179869184}\cdot t^{57}+\frac{160814493392169169}{137438953472}\cdot t^{55}-\frac{38936039996810979}{68719476736}\cdot t^{53}+\frac{1083672520991350797}{4398046511104}\cdot t^{51}-\frac{422955139204266825}{4398046511104}\cdot t^{49}+\frac{1184007781399643655}{35184372088832}\cdot t^{47}-\frac{92726391887141649}{8796093022208}\cdot t^{45}+\frac{1661148461339332119}{562949953421312}\cdot t^{43}-\frac{414505014594111133}{562949953421312}\cdot t^{41}+\frac{735535767836579745}{4503599627370496}\cdot t^{39}-\frac{72269120160800969}{2251799813685248}\cdot t^{37}+\frac{6416051184555438237}{1152921504606846976}\cdot t^{35}-\frac{977135093908062341}{1152921504606846976}\cdot t^{33}+\frac{2079882953609447987}{18446744073709551616}\cdot t^{31}-\frac{30021342644305915}{2305843009213693952}\cdot t^{29}+\frac{382303214541723797}{295147905179352825856}\cdot t^{27}-\frac{32483812178852307}{295147905179352825856}\cdot t^{25}+\frac{18664643384984415}{2361183241434822606848}\cdot t^{23}-\frac{559635915904065}{1180591620717411303424}\cdot t^{21}+\frac{1766872200618525}{75557863725914323419136}\cdot t^{19}-\frac{70411864341105}{75557863725914323419136}\cdot t^{17}+\frac{17729351793475}{604462909807314587353088}\cdot t^{15}-\frac{107061737335}{151115727451828646838272}\cdot t^{13}+\frac{122328613855}{9671406556917033397649408}\cdot t^{11}-\frac{1533641725}{9671406556917033397649408}\cdot t^9+\frac{100361121}{77371252455336267181195264}\cdot t^7-\frac{238901}{38685626227668133590597632}\cdot t^5+\frac{69231}{4951760157141521099596496896}\cdot t^3-\frac{47}{4951760157141521099596496896}\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.