Rule: Q[43, 86]

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.

• $P_1$:
  $4398046511104\cdot t^{43}-47278999994368\cdot t^{41}+236394999971840\cdot t^{39}-729869562413056\cdot t^{37}+1557990796689408\cdot t^{35}-2439485589553152\cdot t^{33}+2901009890279424\cdot t^{31}-2676526982103040\cdot t^{29}+1940482062024704\cdot t^{27}-1112923535572992\cdot t^{25}+505874334351360\cdot t^{23}-181798588907520\cdot t^{21}+51314117836800\cdot t^{19}-11249633525760\cdot t^{17}+1884175073280\cdot t^{15}-235521884160\cdot t^{13}+21262392320\cdot t^{11}-1322886400\cdot t^9+52915456\cdot t^7-1218448\cdot t^5+13244\cdot t^3-43\cdot t$
• $P_2$:
  $4398046511104\cdot t^{129}-141836999983104\cdot t^{127}+2233932749733888\cdot t^{125}-22900765622272000\cdot t^{123}+171824444463906816\cdot t^{121}-1006004408716099584\cdot t^{119}+4785336689428004864\cdot t^{117}-19012467666544754688\cdot t^{115}+64373308654029373440\cdot t^{113}-188589952390137905152\cdot t^{111}+483756999723441979392\cdot t^{109}-1096838867631810281472\cdot t^{107}+2215161402542733656064\cdot t^{105}-4010205987361845411840\cdot t^{103}+6542115543978811785216\cdot t^{101}-9660141373419005706240\cdot t^{99}+12959442976342808816640\cdot t^{97}-15845369353427551956480\cdot t^{95}+17705098639402907779200\cdot t^{93}-18120194253436755856320\cdot t^{91}+17018852171519154869640\cdot t^{89}-14692642218621915888340\cdot t^{87}+11674845909062146843305\cdot t^{85}-\frac{17095652130989279832075}{2}\cdot t^{83}+\frac{184687314926211172281115}{32}\cdot t^{81}-\frac{230148807831124691611851}{64}\cdot t^{79}+\frac{529565703456083028271929}{256}\cdot t^{77}-\frac{562639523715504335774751}{512}\cdot t^{75}+\frac{2208380025898903156683075}{4096}\cdot t^{73}-\frac{2001249209676661205435559}{8192}\cdot t^{71}+\frac{3348891775115490300004959}{32768}\cdot t^{69}-\frac{2586076400401889481175653}{65536}\cdot t^{67}+\frac{58946545580294614875045039}{4194304}\cdot t^{65}-\frac{38702277401203535018968965}{8388608}\cdot t^{63}+\frac{46802196758235606125106123}{33554432}\cdot t^{61}-\frac{26032832847286066628858421}{67108864}\cdot t^{59}+\frac{53216459978143918759828863}{536870912}\cdot t^{57}-\frac{24951078180116831474937387}{1073741824}\cdot t^{55}+\frac{21429931230464716448977455}{4294967296}\cdot t^{53}-\frac{8413232260849110902191149}{8589934592}\cdot t^{51}+\frac{24105328387826104270322955}{137438953472}\cdot t^{49}-\frac{7856947390267045072588635}{274877906944}\cdot t^{47}+\frac{4648801384170046920343905}{1099511627776}\cdot t^{45}-\frac{1244541203441954151200775}{2199023255552}\cdot t^{43}+\frac{1201947279901694757790695}{17592186044416}\cdot t^{41}-\frac{260739886116240661742955}{35184372088832}\cdot t^{39}+\frac{101209143851301377868795}{140737488355328}\cdot t^{37}-\frac{17489696368699200223305}{281474976710656}\cdot t^{35}+\frac{42824565182617383262825}{9007199254740992}\cdot t^{33}-\frac{5768206738883157745605}{18014398509481984}\cdot t^{31}+\frac{1358084118268692836307}{72057594037927936}\cdot t^{29}-\frac{138607881351706709789}{144115188075855872}\cdot t^{27}+\frac{48602763590858196939}{1152921504606846976}\cdot t^{25}-\frac{3619868191970570775}{2305843009213693952}\cdot t^{23}+\frac{452260075342496003}{9223372036854775808}\cdot t^{21}-\frac{23335286442733209}{18446744073709551616}\cdot t^{19}+\frac{7808872762636749}{295147905179352825856}\cdot t^{17}-\frac{258773561334941}{590295810358705651712}\cdot t^{15}+\frac{13196320514895}{2361183241434822606848}\cdot t^{13}-\frac{249228329337}{4722366482869645213696}\cdot t^{11}+\frac{13244017501}{37778931862957161709568}\cdot t^9-\frac{114943257}{75557863725914323419136}\cdot t^7+\frac{1162161}{302231454903657293676544}\cdot t^5-\frac{2795}{604462909807314587353088}\cdot t^3+\frac{129}{77371252455336267181195264}\cdot t$

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.