Rule: Q[49, 50]

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.

• $P_1$:
  $281474976710656\cdot t^{49}-3448068464705536\cdot t^{47}+19826393672056832\cdot t^{45}-71116412084551680\cdot t^{43}+178383666978750464\cdot t^{41}-332442288460398592\cdot t^{39}+477402588661153792\cdot t^{37}-540731503483551744\cdot t^{35}+490450067946209280\cdot t^{33}-359663383160553472\cdot t^{31}+214414709191868416\cdot t^{29}-104129631497486336\cdot t^{27}+41159347585155072\cdot t^{25}-13192098584985600\cdot t^{23}+3405715246940160\cdot t^{21}-701176668487680\cdot t^{19}+113542812794880\cdot t^{17}-14192851599360\cdot t^{15}+1335348940800\cdot t^{13}-91365980160\cdot t^{11}+4332007680\cdot t^9-132612480\cdot t^7+2344160\cdot t^5-19600\cdot t^3+49\cdot t$
• $P_2$:
  $281474976710656\cdot t^{99}-7036874417766400\cdot t^{97}+85304510129373184\cdot t^{95}-668080857222742016\cdot t^{93}+3799814329058983936\cdot t^{91}-16727988596681736192\cdot t^{89}+59323628295825653760\cdot t^{87}-174163177027003219968\cdot t^{85}+431690406063650111488\cdot t^{83}-916815929265470046208\cdot t^{81}+1687426209114872610816\cdot t^{79}-2715719021343654543360\cdot t^{77}+3849104690339804872704\cdot t^{75}-4832153025607599390720\cdot t^{73}+5398075394290530385920\cdot t^{71}-5386122129856675184640\cdot t^{69}+4814493005328791961600\cdot t^{67}-3864430796092098805760\cdot t^{65}+2790400433131872337920\cdot t^{63}-1814964841414119915520\cdot t^{61}+1064326374015315389440\cdot t^{59}-562982520849178956800\cdot t^{57}+268640572448684306560\cdot t^{55}-115608301020503421696\cdot t^{53}+44841002835245664996\cdot t^{51}-15660392971935367188\cdot t^{49}+\frac{9835900646046041175}{2}\cdot t^{47}-1386333457084680482\cdot t^{45}+\frac{11201515214546688031}{32}\cdot t^{43}-\frac{2526954273598394101}{32}\cdot t^{41}+\frac{4062103501709746801}{256}\cdot t^{39}-\frac{362228495317153465}{128}\cdot t^{37}+\frac{14617825892237136387}{32768}\cdot t^{35}-\frac{2026993368012259227}{32768}\cdot t^{33}+\frac{7867870309198269699}{1048576}\cdot t^{31}-\frac{103679143530959731}{131072}\cdot t^{29}+\frac{1206738118441740605}{16777216}\cdot t^{27}-\frac{93814158561717867}{16777216}\cdot t^{25}+\frac{49365616202473935}{134217728}\cdot t^{23}-\frac{1356682523670705}{67108864}\cdot t^{21}+\frac{3928884456931665}{4294967296}\cdot t^{19}-\frac{143709797956725}{4294967296}\cdot t^{17}+\frac{33232090492755}{34359738368}\cdot t^{15}-\frac{184389213015}{8589934592}\cdot t^{13}+\frac{193661512135}{549755813888}\cdot t^{11}-\frac{2232529845}{549755813888}\cdot t^9+\frac{134371825}{4398046511104}\cdot t^7-\frac{294245}{2199023255552}\cdot t^5+\frac{78449}{281474976710656}\cdot t^3-\frac{49}{281474976710656}\cdot t$

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.