Rule: Q[36, 37]

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.

• $P_1$:
  $68719476736\cdot t^{36}-601295421440\cdot t^{34}+2409476653056\cdot t^{32}-5858335391744\cdot t^{30}+9652938997760\cdot t^{28}-11402534191104\cdot t^{26}+9961891430400\cdot t^{24}-6546385797120\cdot t^{22}+3259084308480\cdot t^{20}-1228623052800\cdot t^{18}+348109864960\cdot t^{16}-73030041600\cdot t^{14}+11076222976\cdot t^{12}-1171523584\cdot t^{10}+81861120\cdot t^8-3472896\cdot t^6+77520\cdot t^4-684\cdot t^2+1$
• $P_2$:
  $68719476736\cdot t^{73}-1236950581248\cdot t^{71}+10672993730560\cdot t^{69}-58776627445760\cdot t^{67}+232062720147456\cdot t^{65}-699551388270592\cdot t^{63}+1674293947662336\cdot t^{61}-3266479663349760\cdot t^{59}+5292563166658560\cdot t^{57}-7219598986313728\cdot t^{55}+8375862886465536\cdot t^{53}-8327517357539328\cdot t^{51}+7135473542246400\cdot t^{49}-5290868149862400\cdot t^{47}+3404421708334080\cdot t^{45}-1904168074152960\cdot t^{43}+926435221422480\cdot t^{41}-391990134967200\cdot t^{39}+144079707346575\cdot t^{37}-45912480905655\cdot t^{35}+\frac{202355008436035}{16}\cdot t^{33}-\frac{5999744185435}{2}\cdot t^{31}+\frac{19509657665925}{32}\cdot t^{29}-\frac{3376351667675}{32}\cdot t^{27}+\frac{15801325804719}{1024}\cdot t^{25}-\frac{967428110493}{512}\cdot t^{23}+\frac{6275879793711}{32768}\cdot t^{21}-\frac{519280833995}{32768}\cdot t^{19}+\frac{551534301945}{524288}\cdot t^{17}-\frac{7184738033}{131072}\cdot t^{15}+\frac{4572106021}{2097152}\cdot t^{13}-\frac{133767543}{2097152}\cdot t^{11}+\frac{350343565}{268435456}\cdot t^9-\frac{2330445}{134217728}\cdot t^7+\frac{575757}{4294967296}\cdot t^5-\frac{2109}{4294967296}\cdot t^3+\frac{37}{68719476736}\cdot t$

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.