Rule: Q[36, 74]

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.

• $P_1$:
  $68719476736\cdot t^{36}-601295421440\cdot t^{34}+2409476653056\cdot t^{32}-5858335391744\cdot t^{30}+9652938997760\cdot t^{28}-11402534191104\cdot t^{26}+9961891430400\cdot t^{24}-6546385797120\cdot t^{22}+3259084308480\cdot t^{20}-1228623052800\cdot t^{18}+348109864960\cdot t^{16}-73030041600\cdot t^{14}+11076222976\cdot t^{12}-1171523584\cdot t^{10}+81861120\cdot t^8-3472896\cdot t^6+77520\cdot t^4-684\cdot t^2+1$
• $P_2$:
  $68719476736\cdot t^{110}-1872605741056\cdot t^{108}+24816321036288\cdot t^{106}-213121645936640\cdot t^{104}+1333504130416640\cdot t^{102}-6480075260166144\cdot t^{100}+25457438522081280\cdot t^{98}-83103849790832640\cdot t^{96}+229947545537740800\cdot t^{94}-547440480144588800\cdot t^{92}+1134448440537251840\cdot t^{90}-2065211820159860736\cdot t^{88}+3327285710257553408\cdot t^{86}-4772852932100218880\cdot t^{84}+6125981340685332480\cdot t^{82}-7064022233477774016\cdot t^{80}+7342865216378212464\cdot t^{78}-6899444381972394252\cdot t^{76}+5873182941643167150\cdot t^{74}-\frac{18150420051920130975}{4}\cdot t^{72}+\frac{25490370138850469655}{8}\cdot t^{70}-\frac{65142057021506755785}{32}\cdot t^{68}+\frac{75788358475481302185}{64}\cdot t^{66}-\frac{642553474031254518525}{1024}\cdot t^{64}+\frac{155099114421337297575}{512}\cdot t^{62}-\frac{272830163135580306711}{2048}\cdot t^{60}+\frac{218511035633473820307}{4096}\cdot t^{58}-\frac{637034818169545370313}{32768}\cdot t^{56}+\frac{422131506015963799605}{65536}\cdot t^{54}-\frac{508048936172282756295}{262144}\cdot t^{52}+\frac{277231641713764170719}{524288}\cdot t^{50}-\frac{2191024265157168446005}{16777216}\cdot t^{48}+\frac{3910562296040009504895}{134217728}\cdot t^{46}-\frac{3144857790521685965475}{536870912}\cdot t^{44}+\frac{1136377184810357113575}{1073741824}\cdot t^{42}-\frac{1471309407701830789155}{8589934592}\cdot t^{40}+\frac{425044940002751116867}{17179869184}\cdot t^{38}-\frac{218266320541953276229}{68719476736}\cdot t^{36}+\frac{49570216994026879605}{137438953472}\cdot t^{34}-\frac{79227611776778004155}{2199023255552}\cdot t^{32}+\frac{6918467507267938391}{2199023255552}\cdot t^{30}-\frac{2097235794886099791}{8796093022208}\cdot t^{28}+\frac{273552494985143451}{17592186044416}\cdot t^{26}-\frac{121620466306664325}{140737488355328}\cdot t^{24}+\frac{11386447998860025}{281474976710656}\cdot t^{22}-\frac{1771225244267115}{1125899906842624}\cdot t^{20}+\frac{112552774719315}{2251799813685248}\cdot t^{18}-\frac{366395202809685}{288230376151711744}\cdot t^{16}+\frac{29078984349975}{1152921504606846976}\cdot t^{14}-\frac{1742058970275}{4611686018427387904}\cdot t^{12}+\frac{37697013783}{9223372036854775808}\cdot t^{10}-\frac{2217471399}{73786976294838206464}\cdot t^8+\frac{20237679}{147573952589676412928}\cdot t^6-\frac{197505}{590295810358705651712}\cdot t^4+\frac{385}{1180591620717411303424}\cdot t^2-\frac{1}{18889465931478580854784}$

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.