Rule: Q[44, 88]

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.

• $P_1$:
  $8796093022208\cdot t^{44}-96757023244288\cdot t^{42}+495879744126976\cdot t^{40}-1572301627719680\cdot t^{38}+3454150138396672\cdot t^{36}-5579780992794624\cdot t^{34}+6864598984556544\cdot t^{32}-6573052309536768\cdot t^{30}+4964023879598080\cdot t^{28}-2978414327758848\cdot t^{26}+1423506847825920\cdot t^{24}-541167892561920\cdot t^{22}+162773155184640\cdot t^{20}-38370843033600\cdot t^{18}+6988974981120\cdot t^{16}-963996549120\cdot t^{14}+97905899520\cdot t^{12}-7038986240\cdot t^{10}+338412800\cdot t^8-9974272\cdot t^6+155848\cdot t^4-968\cdot t^2+1$
• $P_2$:
  $8796093022208\cdot t^{132}-290271069732864\cdot t^{130}+4680620999442432\cdot t^{128}-49152567808098304\cdot t^{126}+378004366688256000\cdot t^{124}-2269812047531212800\cdot t^{122}+11080345716156006400\cdot t^{120}-45207810521916506112\cdot t^{118}+157293102839107682304\cdot t^{116}-473868561850428293120\cdot t^{114}+1250896478228937965568\cdot t^{112}-2920951355623996391424\cdot t^{110}+6080244228113145266176\cdot t^{108}-11354767663231335923712\cdot t^{106}+19125085364976508600320\cdot t^{104}-29183463593964153864192\cdot t^{102}+40496772891301012002816\cdot t^{100}-51268293046531971717120\cdot t^{98}+59375778959592217731840\cdot t^{96}-63053924558858992281600\cdot t^{94}+61519800055083181978320\cdot t^{92}-55238499148558172406960\cdot t^{90}+45708716754127165390470\cdot t^{88}-34896882276585318929940\cdot t^{86}+\frac{393666989879380681138675}{16}\cdot t^{84}-\frac{256508995648508608308303}{16}\cdot t^{82}+\frac{1236380804860227994472967}{128}\cdot t^{80}-\frac{172264697678938291998879}{32}\cdot t^{78}+\frac{5684735023404963635963007}{2048}\cdot t^{76}-\frac{2712001141061959551806925}{2048}\cdot t^{74}+\frac{9575313832690657188798045}{16384}\cdot t^{72}-\frac{1954208092970083022562105}{8192}\cdot t^{70}+\frac{188776501780910019979499343}{2097152}\cdot t^{68}-\frac{65814642035034133075191231}{2097152}\cdot t^{66}+\frac{169474678469565684809466015}{16777216}\cdot t^{64}-\frac{3144890940672352913990091}{1048576}\cdot t^{62}+\frac{220258843289311828161306003}{268435456}\cdot t^{60}-\frac{55456351724335979494382877}{268435456}\cdot t^{58}+\frac{102653246808877238638538517}{2147483648}\cdot t^{56}-\frac{10896470918505028088182335}{1073741824}\cdot t^{54}+\frac{135589998994614740819034099}{68719476736}\cdot t^{52}-\frac{24094390065245128159479927}{68719476736}\cdot t^{50}+\frac{31233468603095536503029535}{549755813888}\cdot t^{48}-\frac{1150749692457922823863905}{137438953472}\cdot t^{46}+\frac{9843189518131819195860675}{8796093022208}\cdot t^{44}-\frac{1189228261066756188925185}{8796093022208}\cdot t^{42}+\frac{1035313986631422728680065}{70368744177664}\cdot t^{40}-\frac{50534725254850421049465}{35184372088832}\cdot t^{38}+\frac{563903362764441999964665}{4503599627370496}\cdot t^{36}-\frac{43675819835455920823425}{4503599627370496}\cdot t^{34}+\frac{23904521880673923494577}{36028797018963968}\cdot t^{32}-\frac{179385179932435639877}{4503599627370496}\cdot t^{30}+\frac{1200500819547838513023}{576460752303423488}\cdot t^{28}-\frac{54190268663611530681}{576460752303423488}\cdot t^{26}+\frac{16725391562843065025}{4611686018427387904}\cdot t^{24}-\frac{272503428060489135}{2305843009213693952}\cdot t^{22}+\frac{473295427684007445}{147573952589676412928}\cdot t^{20}-\frac{10517676170755721}{147573952589676412928}\cdot t^{18}+\frac{1499724561160881}{1180591620717411303424}\cdot t^{16}-\frac{5223094594245}{295147905179352825856}\cdot t^{14}+\frac{3520752652417}{18889465931478580854784}\cdot t^{12}-\frac{26826330531}{18889465931478580854784}\cdot t^{10}+\frac{1112612787}{151115727451828646838272}\cdot t^8-\frac{1791647}{75557863725914323419136}\cdot t^6+\frac{1580865}{38685626227668133590597632}\cdot t^4-\frac{1089}{38685626227668133590597632}\cdot t^2+\frac{1}{309485009821345068724781056}$

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.