Rule: Q[6, 96]

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.

• $P_1$:
  $32\cdot t^6-48\cdot t^4+18\cdot t^2-1$
• $P_2$:
  $32\cdot t^{102}-816\cdot t^{100}+10098\cdot t^{98}-80801\cdot t^{96}+469965\cdot t^{94}-\frac{4235499}{2}\cdot t^{92}+\frac{984988823}{128}\cdot t^{90}-\frac{5932150731}{256}\cdot t^{88}+\frac{120788686161}{2048}\cdot t^{86}-\frac{527458360715}{4096}\cdot t^{84}+\frac{7994434110663}{32768}\cdot t^{82}-\frac{26522992688823}{65536}\cdot t^{80}+\frac{77604311941371}{131072}\cdot t^{78}-\frac{201422427623109}{262144}\cdot t^{76}+\frac{3727622848869225}{4194304}\cdot t^{74}-\frac{7715179551567645}{8388608}\cdot t^{72}+\frac{114651156591900585}{134217728}\cdot t^{70}-\frac{191614216726255995}{268435456}\cdot t^{68}+\frac{1154754459530188245}{2147483648}\cdot t^{66}-\frac{1570671094288049325}{4294967296}\cdot t^{64}+\frac{482694043610473695}{2147483648}\cdot t^{62}-\frac{536610485871490745}{4294967296}\cdot t^{60}+\frac{8634550545386714715}{137438953472}\cdot t^{58}-\frac{7855207513221925935}{274877906944}\cdot t^{56}+\frac{25848332415302918675}{2199023255552}\cdot t^{54}-\frac{19215046070804403441}{4398046511104}\cdot t^{52}+\frac{51577228926896030289}{35184372088832}\cdot t^{50}-\frac{31201039721208709681}{70368744177664}\cdot t^{48}+\frac{16985894211159953919}{140737488355328}\cdot t^{46}-\frac{8304393249197237745}{281474976710656}\cdot t^{44}+\frac{29096133384224395951}{4503599627370496}\cdot t^{42}-\frac{11381994931311769611}{9007199254740992}\cdot t^{40}+\frac{63413971760165573547}{288230376151711744}\cdot t^{38}-\frac{19578402348439349233}{576460752303423488}\cdot t^{36}+\frac{21339781106430432555}{4611686018427387904}\cdot t^{34}-\frac{5105167249768645059}{9223372036854775808}\cdot t^{32}+\frac{532862574891676757}{9223372036854775808}\cdot t^{30}-\frac{96380548888931139}{18446744073709551616}\cdot t^{28}+\frac{958732828421472909}{2361183241434822606848}\cdot t^{26}-\frac{126816511695962025}{4722366482869645213696}\cdot t^{24}+\frac{56453801980783095}{37778931862957161709568}\cdot t^{22}-\frac{5214245604782445}{75557863725914323419136}\cdot t^{20}+\frac{1572550261759785}{604462909807314587353088}\cdot t^{18}-\frac{94836495880665}{1208925819614629174706176}\cdot t^{16}+\frac{4459396358025}{2417851639229258349412352}\cdot t^{14}-\frac{158208603735}{4835703278458516698824704}\cdot t^{12}+\frac{32427850455}{77371252455336267181195264}\cdot t^{10}-\frac{564508035}{154742504910672534362390528}\cdot t^8+\frac{48784645}{2475880078570760549798248448}\cdot t^6-\frac{281775}{4951760157141521099596496896}\cdot t^4+\frac{2601}{39614081257132168796771975168}\cdot t^2-\frac{1}{79228162514264337593543950336}$

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.