Rule: Q[49]

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.

• $P_1$:
  $\frac{-1}{608281864034267560872252163321295376887552831379210240000000000}\cdot t^{49}+\frac{1}{253345216174205564711475286681089286500438497034240000000000}\cdot t^{48}-\frac{1}{219917722373442330478711186355112227864963973120000000000}\cdot t^{47}+\frac{47}{14037301428092063647577309767347589012657274880000000000}\cdot t^{46}-\frac{47}{26535541451969874570089432452452909286686720000000000}\cdot t^{45}+\frac{47}{65519855436962653259480080129513356263424000000000}\cdot t^{44}-\frac{47}{203057403213727231176074628500557922304000000000}\cdot t^{43}+\frac{2021}{33055856337118386470523776732648964096000000000}\cdot t^{42}-\frac{2021}{149913180667203566759745019195686912000000000}\cdot t^{41}+\frac{82861}{32907771365971514654578174945394688000000000}\cdot t^{40}-\frac{82861}{205673571037321966591113593408716800000000}\cdot t^{39}+\frac{82861}{1487448574234412644643162082508800000000}\cdot t^{38}-\frac{82861}{12361068483942487351605225062400000000}\cdot t^{37}+\frac{3065857}{4343078115979792853266700697600000000}\cdot t^{36}-\frac{3065857}{46915967302250848723560038400000000}\cdot t^{35}+\frac{3065857}{574481232272459372125224960000000}\cdot t^{34}-\frac{3065857}{7951297332490787157442560000000}\cdot t^{33}+\frac{3065857}{124124935401600901447680000000}\cdot t^{32}-\frac{3065857}{2181883630106265845760000000}\cdot t^{31}+\frac{95041567}{1337283515226421002240000000}\cdot t^{30}-\frac{95041567}{29717411449476022272000000}\cdot t^{29}+\frac{2756205443}{21519504842724016128000000}\cdot t^{28}-\frac{2756205443}{603863656300929024000000}\cdot t^{27}+\frac{2756205443}{19051939773554688000000}\cdot t^{26}-\frac{2756205443}{676400228646912000000}\cdot t^{25}+\frac{2756205443}{27056009145876480000}\cdot t^{24}-\frac{2756205443}{1221278190612480000}\cdot t^{23}+\frac{63392725189}{1433674397675520000}\cdot t^{22}-\frac{63392725189}{82939841187840000}\cdot t^{21}+\frac{2185956041}{188072202240000}\cdot t^{20}-\frac{2185956041}{14105415168000}\cdot t^{19}+\frac{1339779509}{742390272000}\cdot t^{18}-\frac{1339779509}{73322496000}\cdot t^{17}+\frac{22776251653}{142331904000}\cdot t^{16}-\frac{1339779509}{1111968000}\cdot t^{15}+\frac{1339779509}{172972800}\cdot t^{14}-\frac{9378456563}{222393600}\cdot t^{13}+\frac{3295133387}{17107200}\cdot t^{12}-\frac{173428073}{237600}\cdot t^{11}+\frac{146746831}{64800}\cdot t^{10}-\frac{146746831}{25920}\cdot t^9+\frac{3579191}{320}\cdot t^8-\frac{511313}{30}\cdot t^7+\frac{582659}{30}\cdot t^6-\frac{158907}{10}\cdot t^5+\frac{52969}{6}\cdot t^4-\frac{9212}{3}\cdot t^3+588\cdot t^2-49\cdot t+1$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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