Rule: Q[32, 64]

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.

• $P_1$:
  $2147483648\cdot t^{32}-17179869184\cdot t^{30}+62277025792\cdot t^{28}-135291469824\cdot t^{26}+196293427200\cdot t^{24}-200655503360\cdot t^{22}+148562247680\cdot t^{20}-80648077312\cdot t^{18}+32133218304\cdot t^{16}-9313976320\cdot t^{14}+1926299648\cdot t^{12}-275185664\cdot t^{10}+25798656\cdot t^8-1462272\cdot t^6+43520\cdot t^4-512\cdot t^2+1$
• $P_2$:
  $2147483648\cdot t^{96}-51539607552\cdot t^{94}+599147937792\cdot t^{92}-4494683275264\cdot t^{90}+24458161029120\cdot t^{88}-102885538922496\cdot t^{86}+348191337742336\cdot t^{84}-974153293234176\cdot t^{82}+2297701055987712\cdot t^{80}-4636484889477120\cdot t^{78}+8094979141337088\cdot t^{76}-12337267675299840\cdot t^{74}+16529246027274240\cdot t^{72}-19577735331655680\cdot t^{70}+20592435028723200\cdot t^{68}-19304348557790720\cdot t^{66}+16174932678305115\cdot t^{64}-12140232419755440\cdot t^{62}+8175633727121630\cdot t^{60}-4945615754273850\cdot t^{58}+\frac{43026857062182495}{16}\cdot t^{56}-\frac{10517676170755721}{8}\cdot t^{54}+\frac{36979839312902793}{64}\cdot t^{52}-\frac{14602521420163521}{64}\cdot t^{50}+\frac{662521805174085675}{8192}\cdot t^{48}-\frac{52628492692702017}{2048}\cdot t^{46}+\frac{119715362498783709}{16384}\cdot t^{44}-\frac{30394721665015939}{16384}\cdot t^{42}+\frac{219914750870409441}{524288}\cdot t^{40}-\frac{22070703252562965}{262144}\cdot t^{38}+\frac{31344857346569221}{2097152}\cdot t^{36}-\frac{4900064547974841}{2097152}\cdot t^{34}+\frac{2748936211413885801}{8589934592}\cdot t^{32}-\frac{40989428837821289}{1073741824}\cdot t^{30}+\frac{33833779021731045}{8589934592}\cdot t^{28}-\frac{2995121421595863}{8589934592}\cdot t^{26}+\frac{7210477496434485}{274877906944}\cdot t^{24}-\frac{227907900711855}{137438953472}\cdot t^{22}+\frac{95547595398255}{1099511627776}\cdot t^{20}-\frac{4083230572575}{1099511627776}\cdot t^{18}+\frac{17849550788685}{140737488355328}\cdot t^{16}-\frac{118733153805}{35184372088832}\cdot t^{14}+\frac{19055938265}{281474976710656}\cdot t^{12}-\frac{275930655}{281474976710656}\cdot t^{10}+\frac{86831325}{9007199254740992}\cdot t^8-\frac{264845}{4503599627370496}\cdot t^6+\frac{6909}{36028797018963968}\cdot t^4-\frac{9}{36028797018963968}\cdot t^2+\frac{1}{18446744073709551616}$

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.