Rule: Q[47, 48]

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.

• $P_1$:
  $70368744177664\cdot t^{47}-826832744087552\cdot t^{45}+4547580092481536\cdot t^{43}-15554790998147072\cdot t^{41}+37078280867676160\cdot t^{39}-65416681245114368\cdot t^{37}+88551849002532864\cdot t^{35}-94086339565191168\cdot t^{33}+79611518093623296\cdot t^{31}-54121865370664960\cdot t^{29}+29693888297959424\cdot t^{27}-13159791404777472\cdot t^{25}+4699925501706240\cdot t^{23}-1345114425262080\cdot t^{21}+305707823923200\cdot t^{19}-54454206136320\cdot t^{17}+7465496002560\cdot t^{15}-768506941440\cdot t^{13}+57417185280\cdot t^{11}-2967993600\cdot t^9+98933120\cdot t^7-1902560\cdot t^5+17296\cdot t^3-47\cdot t$
• $P_2$:
  $70368744177664\cdot t^{95}-1688849860263936\cdot t^{93}+19628481579057152\cdot t^{91}-147180626494095360\cdot t^{89}+800319670451175424\cdot t^{87}-3363286222599356416\cdot t^{85}+11367651209755230208\cdot t^{83}-31753236086014345216\cdot t^{81}+74751022671970959360\cdot t^{79}-150494266373676466176\cdot t^{77}+262052025264060235776\cdot t^{75}-398155059719747665920\cdot t^{73}+531563299259799306240\cdot t^{71}-627083646420490649600\cdot t^{69}+656610620604954705920\cdot t^{67}-612421905436422963200\cdot t^{65}+510236902113604075520\cdot t^{63}-380545717554606243840\cdot t^{61}+254474451270937292800\cdot t^{59}-152739605656472899584\cdot t^{57}+82337020616790614528\cdot t^{55}-39870504956734442496\cdot t^{53}+17338760335861612752\cdot t^{51}-6767282227268269200\cdot t^{49}+2368015562799287310\cdot t^{47}-741811135097133192\cdot t^{45}+\frac{1661148461339332119}{8}\cdot t^{43}-\frac{414505014594111133}{8}\cdot t^{41}+\frac{735535767836579745}{64}\cdot t^{39}-\frac{72269120160800969}{32}\cdot t^{37}+\frac{6416051184555438237}{16384}\cdot t^{35}-\frac{977135093908062341}{16384}\cdot t^{33}+\frac{2079882953609447987}{262144}\cdot t^{31}-\frac{30021342644305915}{32768}\cdot t^{29}+\frac{382303214541723797}{4194304}\cdot t^{27}-\frac{32483812178852307}{4194304}\cdot t^{25}+\frac{18664643384984415}{33554432}\cdot t^{23}-\frac{559635915904065}{16777216}\cdot t^{21}+\frac{1766872200618525}{1073741824}\cdot t^{19}-\frac{70411864341105}{1073741824}\cdot t^{17}+\frac{17729351793475}{8589934592}\cdot t^{15}-\frac{107061737335}{2147483648}\cdot t^{13}+\frac{122328613855}{137438953472}\cdot t^{11}-\frac{1533641725}{137438953472}\cdot t^9+\frac{100361121}{1099511627776}\cdot t^7-\frac{238901}{549755813888}\cdot t^5+\frac{69231}{70368744177664}\cdot t^3-\frac{47}{70368744177664}\cdot t$

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.