Rule: Q[48, 98]

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.

• $P_1$:
  $281474976710656\cdot t^{48}-3307330976350208\cdot t^{46}+18207912555970560\cdot t^{44}-62408279992565760\cdot t^{42}+149259802982219776\cdot t^{40}-264596923468480512\cdot t^{38}+360487668989034496\cdot t^{36}-386236788202536960\cdot t^{34}+330303106984181760\cdot t^{32}-227542140366880768\cdot t^{30}+126898501358452736\cdot t^{28}-57377552049635328\cdot t^{26}+20999667135283200\cdot t^{24}-6192209539891200\cdot t^{22}+1459592248688640\cdot t^{20}-271884830638080\cdot t^{18}+39392404439040\cdot t^{16}-4344750489600\cdot t^{14}+354276249600\cdot t^{12}-20510730240\cdot t^{10}+795674880\cdot t^8-18944640\cdot t^6+239200\cdot t^4-1200\cdot t^2+1$
• $P_2$:
  $281474976710656\cdot t^{146}-10203467905761280\cdot t^{144}+181129147513307136\cdot t^{142}-2098708212680228864\cdot t^{140}+17850027018687610880\cdot t^{138}-118828384089897172992\cdot t^{136}+644707190274974023680\cdot t^{134}-2931115190071578329088\cdot t^{132}+11394973890898770788352\cdot t^{130}-38464917904664328929280\cdot t^{128}+114103230923033454575616\cdot t^{126}-300321839411393200128000\cdot t^{124}+706868625725705106227200\cdot t^{122}-1497530805534279388364800\cdot t^{120}+2871205679783768752128000\cdot t^{118}-5005033537259433256550400\cdot t^{116}+7963638762767275720704000\cdot t^{114}-11604931509272403374899200\cdot t^{112}+15533215818612674284748800\cdot t^{110}-19145071717225119723904000\cdot t^{108}+21775634720891090898566400\cdot t^{106}-22898980956492615429048000\cdot t^{104}+22299444000540808770542016\cdot t^{102}-20137523851119513670592904\cdot t^{100}+16883594692249592254308075\cdot t^{98}-\frac{52621459391647417694902479}{4}\cdot t^{96}+9534085140889710135440055\cdot t^{94}-\frac{102897496668713390128416001}{16}\cdot t^{92}+\frac{258540768940716837381482221}{64}\cdot t^{90}-\frac{605175791705184648575591055}{256}\cdot t^{88}+\frac{330001841972570774180535977}{256}\cdot t^{86}-\frac{1341664885884033570222312565}{2048}\cdot t^{84}+\frac{20334973009529308807804267833}{65536}\cdot t^{82}-\frac{35902416461800550000381697753}{262144}\cdot t^{80}+\frac{7382329256851232300963441235}{131072}\cdot t^{78}-\frac{90486264319690818774666179709}{4194304}\cdot t^{76}+\frac{129071998654213630384283589675}{16777216}\cdot t^{74}-\frac{171313743668319909419140037205}{67108864}\cdot t^{72}+\frac{52858272430737045928937944845}{67108864}\cdot t^{70}-\frac{121227661842573566874059958975}{536870912}\cdot t^{68}+\frac{258090293156432322746830454715}{4294967296}\cdot t^{66}-\frac{254764693428691823420134065975}{17179869184}\cdot t^{64}+\frac{7278991240819766383432401885}{2147483648}\cdot t^{62}-\frac{24623564286923395762201559865}{34359738368}\cdot t^{60}+\frac{19233763807526218225550203425}{137438953472}\cdot t^{58}-\frac{13853338376401236918010669395}{549755813888}\cdot t^{56}+\frac{2295968693462968666997033025}{549755813888}\cdot t^{54}-\frac{2796196766251496308487450433}{4398046511104}\cdot t^{52}+\frac{6242015003450309941168955007}{70368744177664}\cdot t^{50}-\frac{3184701532372607112841303575}{281474976710656}\cdot t^{48}+\frac{185172336521458805323968579}{140737488355328}\cdot t^{46}-\frac{1252636394115750741897434505}{9007199254740992}\cdot t^{44}+\frac{479754667543927207220636859}{36028797018963968}\cdot t^{42}-\frac{165824475614340154723792989}{144115188075855872}\cdot t^{40}+\frac{12877647449142305922397305}{144115188075855872}\cdot t^{38}-\frac{7156510795847463291261111}{1152921504606846976}\cdot t^{36}+\frac{3538933910034459869304945}{9223372036854775808}\cdot t^{34}-\frac{774012445820402333988333}{36893488147419103232}\cdot t^{32}+\frac{9296546230310915286183}{9223372036854775808}\cdot t^{30}-\frac{6231121125092832279645}{147573952589676412928}\cdot t^{28}+\frac{902438231909996399121}{590295810358705651712}\cdot t^{26}-\frac{111815640629336191275}{2361183241434822606848}\cdot t^{24}+\frac{2927999697694192485}{2361183241434822606848}\cdot t^{22}-\frac{511238042454541545}{18889465931478580854784}\cdot t^{20}+\frac{585151976303390925}{1208925819614629174706176}\cdot t^{18}-\frac{33594090947249085}{4835703278458516698824704}\cdot t^{16}+\frac{188519028884675}{2417851639229258349412352}\cdot t^{14}-\frac{51209646652255}{77371252455336267181195264}\cdot t^{12}+\frac{1258315963905}{309485009821345068724781056}\cdot t^{10}-\frac{21042072975}{1237940039285380274899124224}\cdot t^8+\frac{54654735}{1237940039285380274899124224}\cdot t^6-\frac{607725}{9903520314283042199192993792}\cdot t^4+\frac{2701}{79228162514264337593543950336}\cdot t^2-\frac{1}{316912650057057350374175801344}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.