Rule: Q[46, 47]

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.

• $P_1$:
  $70368744177664\cdot t^{46}-791648371998720\cdot t^{44}+4160551999504384\cdot t^{42}-13569072998383616\cdot t^{40}+30767084124241920\cdot t^{38}-51498238427004928\cdot t^{36}+65942866278481920\cdot t^{34}-66060621396836352\cdot t^{32}+52509724700049408\cdot t^{30}-33394342462750720\cdot t^{28}+17058191149891584\cdot t^{26}-6999889045094400\cdot t^{24}+2299963543388160\cdot t^{22}-601008572989440\cdot t^{20}+123584013926400\cdot t^{18}-19696202219520\cdot t^{16}+2382605107200\cdot t^{14}-212565749760\cdot t^{12}+13438064640\cdot t^{10}-568339200\cdot t^8+14734720\cdot t^6-202400\cdot t^4+1104\cdot t^2-1$
• $P_2$:
  $70368744177664\cdot t^{93}-1618481116086272\cdot t^{91}+18010000462970880\cdot t^{89}-129170626031124480\cdot t^{87}+671149044420050944\cdot t^{85}-2692137178179305472\cdot t^{83}+8675514031575924736\cdot t^{81}-23077722054438420480\cdot t^{79}+51673300617532538880\cdot t^{77}-98820965756143927296\cdot t^{75}+163231059507916308480\cdot t^{73}-234924000211831357440\cdot t^{71}+296639299047967948800\cdot t^{69}-330444347372522700800\cdot t^{67}+326166273232432005120\cdot t^{65}-286255632203990958080\cdot t^{63}+223981269909613117440\cdot t^{61}-156564447644993126400\cdot t^{59}+97910003625944166400\cdot t^{57}-54829602030528733184\cdot t^{55}+27507418586261881344\cdot t^{53}-12363086370472561152\cdot t^{51}+4975673965389051600\cdot t^{49}-1791608261879217600\cdot t^{47}+576407300920069710\cdot t^{45}-165403834177063482\cdot t^{43}+\frac{337917787922824263}{8}\cdot t^{41}-\frac{38293613335643435}{4}\cdot t^{39}+\frac{122837954466284785}{64}\cdot t^{37}-\frac{21700285855317153}{64}\cdot t^{35}+\frac{860778005594247069}{16384}\cdot t^{33}-\frac{14544636039226909}{2048}\cdot t^{31}+\frac{218169540588403635}{262144}\cdot t^{29}-\frac{22001200566043685}{262144}\cdot t^{27}+\frac{30284005485024837}{4194304}\cdot t^{25}-\frac{1099903346913735}{2097152}\cdot t^{23}+\frac{1066189834364655}{33554432}\cdot t^{21}-\frac{53081997443475}{33554432}\cdot t^{19}+\frac{68248282427325}{1073741824}\cdot t^{17}-\frac{540895478445}{268435456}\cdot t^{15}+\frac{420696483235}{8589934592}\cdot t^{13}-\frac{7550466105}{8589934592}\cdot t^{11}+\frac{1521156175}{137438953472}\cdot t^9-\frac{6242775}{68719476736}\cdot t^7+\frac{476721}{1099511627776}\cdot t^5-\frac{1081}{1099511627776}\cdot t^3+\frac{47}{70368744177664}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.