Rule: Q[47, 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.

• $P_1$:
  $70368744177664\cdot t^{47}-826832744087552\cdot t^{45}+4547580092481536\cdot t^{43}-15554790998147072\cdot t^{41}+37078280867676160\cdot t^{39}-65416681245114368\cdot t^{37}+88551849002532864\cdot t^{35}-94086339565191168\cdot t^{33}+79611518093623296\cdot t^{31}-54121865370664960\cdot t^{29}+29693888297959424\cdot t^{27}-13159791404777472\cdot t^{25}+4699925501706240\cdot t^{23}-1345114425262080\cdot t^{21}+305707823923200\cdot t^{19}-54454206136320\cdot t^{17}+7465496002560\cdot t^{15}-768506941440\cdot t^{13}+57417185280\cdot t^{11}-2967993600\cdot t^9+98933120\cdot t^7-1902560\cdot t^5+17296\cdot t^3-47\cdot t$
• $P_2$:
  $70368744177664\cdot t^{141}-2480498232262656\cdot t^{139}+42788594506530816\cdot t^{137}-481423365244977152\cdot t^{135}+3973060527956951040\cdot t^{133}-25643768613533908992\cdot t^{131}+134788080089037799424\cdot t^{129}-593182510242588524544\cdot t^{127}+2230288188181837774848\cdot t^{125}-7274719469027459072000\cdot t^{123}+20832908464165276876800\cdot t^{121}-52883536870573395148800\cdot t^{119}+119927426475547741388800\cdot t^{117}-244539518047796566425600\cdot t^{115}+450775180203404525568000\cdot t^{113}-754631042414588316876800\cdot t^{111}+1151755628485265418633216\cdot t^{109}-1607977616049400439771136\cdot t^{107}+2059358866444478295831552\cdot t^{105}-2425388138651175904926720\cdot t^{103}+2632347911639385749706624\cdot t^{101}-2637570824162479769051280\cdot t^{99}+2443631792974062138973980\cdot t^{97}-2096085045705090884130960\cdot t^{95}+1666492117000219159124775\cdot t^{93}-\frac{4916726397604784526024681}{4}\cdot t^{91}+\frac{13467554915178322832154561}{16}\cdot t^{89}-\frac{8567080092241441229811121}{16}\cdot t^{87}+\frac{40517631637263251126072571}{128}\cdot t^{85}-\frac{356275726465590656453396745}{2048}\cdot t^{83}+\frac{728171950247690693039585059}{8192}\cdot t^{81}-\frac{172967530703996909490341319}{4096}\cdot t^{79}+\frac{4889109744027655762749922971}{262144}\cdot t^{77}-\frac{8027797480934298968465922903}{1048576}\cdot t^{75}+\frac{12246914793618845320227012675}{4194304}\cdot t^{73}-\frac{4337586533373359232015712845}{4194304}\cdot t^{71}+\frac{11406246069241055758263541185}{33554432}\cdot t^{69}-\frac{27816063699001576724413999605}{268435456}\cdot t^{67}+\frac{31426324393711030218538248915}{1073741824}\cdot t^{65}-\frac{1027004065153955235899942775}{134217728}\cdot t^{63}+\frac{3971760275734009060817006415}{2147483648}\cdot t^{61}-\frac{3545522587606456868924449629}{8589934592}\cdot t^{59}+\frac{2917936097832923377936379661}{34359738368}\cdot t^{57}-\frac{552565972014872533363367577}{34359738368}\cdot t^{55}+\frac{769035115690801979423243535}{274877906944}\cdot t^{53}-\frac{3924927368229352324611961449}{8796093022208}\cdot t^{51}+\frac{2290289425396990486901716635}{35184372088832}\cdot t^{49}-\frac{152409481907359710988932705}{17592186044416}\cdot t^{47}+\frac{590518458572960027165004495}{562949953421312}\cdot t^{45}-\frac{259367024839055202703351575}{2251799813685248}\cdot t^{43}+\frac{102948757551501911226868779}{9007199254740992}\cdot t^{41}-\frac{9195858517672284009371721}{9007199254740992}\cdot t^{39}+\frac{5889482421430563916114473}{72057594037927936}\cdot t^{37}-\frac{3363975379650733763406723}{576460752303423488}\cdot t^{35}+\frac{852092529115447675277565}{2305843009213693952}\cdot t^{33}-\frac{11889663196959735003873}{576460752303423488}\cdot t^{31}+\frac{9291921658128196263531}{9223372036854775808}\cdot t^{29}-\frac{1575822971261506968669}{36893488147419103232}\cdot t^{27}+\frac{229793877404565411717}{147573952589676412928}\cdot t^{25}-\frac{7124655148963375725}{147573952589676412928}\cdot t^{23}+\frac{1483570166821180295}{1180591620717411303424}\cdot t^{21}-\frac{510737270544996495}{18889465931478580854784}\cdot t^{19}+\frac{35661932733031605}{75557863725914323419136}\cdot t^{17}-\frac{246745159325005}{37778931862957161709568}\cdot t^{15}+\frac{336470671806825}{4835703278458516698824704}\cdot t^{13}-\frac{10625389636005}{19342813113834066795298816}\cdot t^{11}+\frac{236119769689}{77371252455336267181195264}\cdot t^9-\frac{857231919}{77371252455336267181195264}\cdot t^7+\frac{14505939}{618970019642690137449562112}\cdot t^5-\frac{116795}{4951760157141521099596496896}\cdot t^3+\frac{141}{19807040628566084398385987584}\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.