Rule: Q[46, 94]

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.

• $P_1$:
  $70368744177664\cdot t^{46}-791648371998720\cdot t^{44}+4160551999504384\cdot t^{42}-13569072998383616\cdot t^{40}+30767084124241920\cdot t^{38}-51498238427004928\cdot t^{36}+65942866278481920\cdot t^{34}-66060621396836352\cdot t^{32}+52509724700049408\cdot t^{30}-33394342462750720\cdot t^{28}+17058191149891584\cdot t^{26}-6999889045094400\cdot t^{24}+2299963543388160\cdot t^{22}-601008572989440\cdot t^{20}+123584013926400\cdot t^{18}-19696202219520\cdot t^{16}+2382605107200\cdot t^{14}-212565749760\cdot t^{12}+13438064640\cdot t^{10}-568339200\cdot t^8+14734720\cdot t^6-202400\cdot t^4+1104\cdot t^2-1$
• $P_2$:
  $70368744177664\cdot t^{140}-2445313860173824\cdot t^{138}+41574733669466112\cdot t^{136}-460937264596254720\cdot t^{134}+3747638654030315520\cdot t^{132}-23825061619666255872\cdot t^{130}+123316754124013305856\cdot t^{128}-534284956034104557568\cdot t^{126}+1977205840586735616000\cdot t^{124}-6346031877236719616000\cdot t^{122}+17877885986978712780800\cdot t^{120}-44632204876583220019200\cdot t^{118}+99514247500986423705600\cdot t^{116}-199447124648912093184000\cdot t^{114}+361259541581451853824000\cdot t^{112}-594071246156165270732800\cdot t^{110}+890364280176552699510784\cdot t^{108}-1220238332746708135145472\cdot t^{106}+1533565113309717879874560\cdot t^{104}-1771737434617525661045760\cdot t^{102}+1885582546635304685960064\cdot t^{100}-1851911429731102816567920\cdot t^{98}+1681080027790666861563660\cdot t^{96}-1412255881858039957393200\cdot t^{94}+1099175651638442424103575\cdot t^{92}-\frac{3173206398454151715377631}{4}\cdot t^{90}+\frac{8500797074119650581998269}{16}\cdot t^{88}-\frac{5286070695212804163074947}{16}\cdot t^{86}+\frac{24425522618208342877419635}{128}\cdot t^{84}-\frac{209722590756340599188878935}{2048}\cdot t^{82}+\frac{418311545886971249192953119}{8192}\cdot t^{80}-\frac{96910885997274864182531661}{4096}\cdot t^{78}+\frac{2669939363759783643487546587}{262144}\cdot t^{76}-\frac{4270105043050159025779746225}{1048576}\cdot t^{74}+\frac{6340601276128905733167176775}{4194304}\cdot t^{72}-\frac{2184174779216372379241954695}{4194304}\cdot t^{70}+\frac{5581779991330729413618328665}{33554432}\cdot t^{68}-\frac{13217562183213515181104524635}{268435456}\cdot t^{66}+\frac{14487312663767496200035362975}{1073741824}\cdot t^{64}-\frac{458874156770916169231889325}{134217728}\cdot t^{62}+\frac{1718279268225351437658421215}{2147483648}\cdot t^{60}-\frac{1483587465736035143734344171}{8589934592}\cdot t^{58}+\frac{1179591188485649876187047097}{34359738368}\cdot t^{56}-\frac{215539918161829711595639835}{34359738368}\cdot t^{54}+\frac{289069937103634786591715655}{274877906944}\cdot t^{52}-\frac{1419654579997850840817092439}{8796093022208}\cdot t^{50}+\frac{795916183293989601831093015}{35184372088832}\cdot t^{48}-\frac{50803160635786570329644235}{17592186044416}\cdot t^{46}+\frac{188463337842434051222873775}{562949953421312}\cdot t^{44}-\frac{79097745163683501533646225}{2251799813685248}\cdot t^{42}+\frac{29935454323486371349656879}{9007199254740992}\cdot t^{40}-\frac{2543535334675312598336859}{9007199254740992}\cdot t^{38}+\frac{1545467018389580602100961}{72057594037927936}\cdot t^{36}-\frac{835029349558692778150605}{576460752303423488}\cdot t^{34}+\frac{199425911069572860171345}{2305843009213693952}\cdot t^{32}-\frac{2614039426281927554043}{576460752303423488}\cdot t^{30}+\frac{1911104454508636110939}{9223372036854775808}\cdot t^{28}-\frac{301753334922416228043}{36893488147419103232}\cdot t^{26}+\frac{40743595284497413425}{147573952589676412928}\cdot t^{24}-\frac{1162177790256437175}{147573952589676412928}\cdot t^{22}+\frac{220957258888260895}{1180591620717411303424}\cdot t^{20}-\frac{68822752768474705}{18889465931478580854784}\cdot t^{18}+\frac{4299665648663385}{75557863725914323419136}\cdot t^{16}-\frac{26249485034575}{37778931862957161709568}\cdot t^{14}+\frac{31022118677225}{4835703278458516698824704}\cdot t^{12}-\frac{828931106355}{19342813113834066795298816}\cdot t^{10}+\frac{15071474661}{77371252455336267181195264}\cdot t^8-\frac{42557613}{77371252455336267181195264}\cdot t^6+\frac{514395}{618970019642690137449562112}\cdot t^4-\frac{2485}{4951760157141521099596496896}\cdot t^2+\frac{1}{19807040628566084398385987584}$

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.