Rule: Q[1, 92, 94]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{93}-46\cdot t^{91}+\frac{4095}{8}\cdot t^{89}-\frac{14685}{4}\cdot t^{87}+\frac{1220813}{64}\cdot t^{85}-\frac{4896969}{64}\cdot t^{83}+\frac{504981379}{2048}\cdot t^{81}-\frac{335825055}{512}\cdot t^{79}+\frac{24062255685}{16384}\cdot t^{77}-\frac{46017098127}{16384}\cdot t^{75}+\frac{1216166164785}{262144}\cdot t^{73}-\frac{875160098865}{131072}\cdot t^{71}+\frac{17681080046175}{2097152}\cdot t^{69}-\frac{19696017943175}{2097152}\cdot t^{67}+\frac{1244225590638855}{134217728}\cdot t^{65}-\frac{68248661089895}{8388608}\cdot t^{63}+\frac{3417682951501665}{536870912}\cdot t^{61}-\frac{2388983881301775}{536870912}\cdot t^{59}+\frac{23903809478990275}{8589934592}\cdot t^{57}-\frac{6693066654117277}{4294967296}\cdot t^{55}+\frac{53725426926292737}{68719476736}\cdot t^{53}-\frac{24146653067329221}{68719476736}\cdot t^{51}+\frac{310979622836815725}{2199023255552}\cdot t^{49}-\frac{27993879091862775}{549755813888}\cdot t^{47}+\frac{288203650460034855}{17592186044416}\cdot t^{45}-\frac{82701917088531741}{17592186044416}\cdot t^{43}+\frac{337917787922824263}{281474976710656}\cdot t^{41}-\frac{38293613335643435}{140737488355328}\cdot t^{39}+\frac{122837954466284785}{2251799813685248}\cdot t^{37}-\frac{21700285855317153}{2251799813685248}\cdot t^{35}+\frac{860778005594247069}{576460752303423488}\cdot t^{33}-\frac{14544636039226909}{72057594037927936}\cdot t^{31}+\frac{218169540588403635}{9223372036854775808}\cdot t^{29}-\frac{22001200566043685}{9223372036854775808}\cdot t^{27}+\frac{30284005485024837}{147573952589676412928}\cdot t^{25}-\frac{1099903346913735}{73786976294838206464}\cdot t^{23}+\frac{1066189834364655}{1180591620717411303424}\cdot t^{21}-\frac{53081997443475}{1180591620717411303424}\cdot t^{19}+\frac{68248282427325}{37778931862957161709568}\cdot t^{17}-\frac{540895478445}{9444732965739290427392}\cdot t^{15}+\frac{420696483235}{302231454903657293676544}\cdot t^{13}-\frac{7550466105}{302231454903657293676544}\cdot t^{11}+\frac{1521156175}{4835703278458516698824704}\cdot t^9-\frac{6242775}{2417851639229258349412352}\cdot t^7+\frac{476721}{38685626227668133590597632}\cdot t^5-\frac{1081}{38685626227668133590597632}\cdot t^3+\frac{47}{2475880078570760549798248448}\cdot t$
• $P_3$:
  $2\cdot t^{187}-93\cdot t^{185}+\frac{4255}{2}\cdot t^{183}-\frac{127673}{4}\cdot t^{181}+\frac{45212895}{128}\cdot t^{179}-\frac{787198503}{256}\cdot t^{177}+\frac{5614195917}{256}\cdot t^{175}-\frac{67463403975}{512}\cdot t^{173}+\frac{11152450270445}{16384}\cdot t^{171}-\frac{100621269199825}{32768}\cdot t^{169}+\frac{802482886270065}{65536}\cdot t^{167}-\frac{5713002201638095}{131072}\cdot t^{165}+\frac{1171165451335809475}{8388608}\cdot t^{163}-\frac{6796878001752392307}{16777216}\cdot t^{161}+\frac{8984378967833622015}{8388608}\cdot t^{159}-\frac{43488548830427023557}{16777216}\cdot t^{157}+\frac{6192567081132666633477}{1073741824}\cdot t^{155}-\frac{25424247716999785438785}{2147483648}\cdot t^{153}+\frac{96612141324599184667383}{4294967296}\cdot t^{151}-\frac{340745095142038544490225}{8589934592}\cdot t^{149}+\frac{17890740090648176150234385}{274877906944}\cdot t^{147}-\frac{54743522073779748579459705}{549755813888}\cdot t^{145}+\frac{78247860138316069984879425}{549755813888}\cdot t^{143}-\frac{209341376543958645205923795}{1099511627776}\cdot t^{141}+\frac{8399184497922243203993771775}{35184372088832}\cdot t^{139}-\frac{19768485526275394986381414747}{70368744177664}\cdot t^{137}+\frac{43723459440356500401977507071}{140737488355328}\cdot t^{135}-\frac{90977384549810109532064999185}{281474976710656}\cdot t^{133}+\frac{11408564022546187735320950897799}{36028797018963968}\cdot t^{131}-\frac{21067864379089305696434156776135}{72057594037927936}\cdot t^{129}+\frac{2293463717217316822649794281959}{9007199254740992}\cdot t^{127}-\frac{3770290363972827593593795777677}{18014398509481984}\cdot t^{125}+\frac{374612183599864280132716888166625}{2305843009213693952}\cdot t^{123}-\frac{549504440576692413262126062935325}{4611686018427387904}\cdot t^{121}+\frac{761917921808018892338242020036375}{9223372036854775808}\cdot t^{119}-\frac{998959053037180325510139537381025}{18446744073709551616}\cdot t^{117}+\frac{19821450683948262248280137136455075}{590295810358705651712}\cdot t^{115}-\frac{23255702386483060504291444232944875}{1180591620717411303424}\cdot t^{113}+\frac{12908954798391649725540022728603085}{1180591620717411303424}\cdot t^{111}-\frac{13562066605434696536641169980747175}{2361183241434822606848}\cdot t^{109}+\frac{215746821728617902201810612180210465}{75557863725914323419136}\cdot t^{107}-\frac{203003189982245250271522810962995445}{151115727451828646838272}\cdot t^{105}+\frac{180756265052684126954095653597187725}{302231454903657293676544}\cdot t^{103}-\frac{152287515689133876325559658114839955}{604462909807314587353088}\cdot t^{101}+\frac{3884100778940030684060991280201726125}{38685626227668133590597632}\cdot t^{99}-\frac{2928014433354792361830593426613608925}{77371252455336267181195264}\cdot t^{97}+\frac{521771096207130788299266801680685975}{38685626227668133590597632}\cdot t^{95}-\frac{351547901699839892825747135884150125}{77371252455336267181195264}\cdot t^{93}+\frac{7161532968913881245278791653868543975}{4951760157141521099596496896}\cdot t^{91}-\frac{4305752093334656247161452330434838875}{9903520314283042199192993792}\cdot t^{89}+\frac{2443670318478045487519456134200410005}{19807040628566084398385987584}\cdot t^{87}-\frac{1308397117708081890483796393021859715}{39614081257132168796771975168}\cdot t^{85}+\frac{10567822873796046038522970866715020775}{1267650600228229401496703205376}\cdot t^{83}-\frac{5026177671492375215806243166936578015}{2535301200456458802993406410752}\cdot t^{81}+\frac{1125263657796800421449158917970875675}{2535301200456458802993406410752}\cdot t^{79}-\frac{473949053953785659396426333051027745}{5070602400912917605986812821504}\cdot t^{77}+\frac{3001677341707309176177366775989842385}{162259276829213363391578010288128}\cdot t^{75}-\frac{1115528943784355559648077247003055125}{324518553658426726783156020576256}\cdot t^{73}+\frac{388807700830939842275218435692842025}{649037107316853453566312041152512}\cdot t^{71}-\frac{126946148543540337413469690276798375}{1298074214633706907132624082305024}\cdot t^{69}+\frac{9927188816104854385733329779645632925}{664613997892457936451903530140172288}\cdot t^{67}-\frac{2833227632942795023474427796927390525}{1329227995784915872903807060280344576}\cdot t^{65}+\frac{94295850558771979787935384946380125}{332306998946228968225951765070086144}\cdot t^{63}-\frac{23385370938575450987407975466702271}{664613997892457936451903530140172288}\cdot t^{61}+\frac{690245626090210892047687017807502515}{170141183460469231731687303715884105728}\cdot t^{59}-\frac{147718607409674901350042837707146567}{340282366920938463463374607431768211456}\cdot t^{57}+\frac{29279545134853594455373617608122941}{680564733841876926926749214863536422912}\cdot t^{55}-\frac{5363281673277117030495845830524555}{1361129467683753853853498429727072845824}\cdot t^{53}+\frac{14491376756423269152986814812672229}{43556142965880123323311949751266331066368}\cdot t^{51}-\frac{2250213782053302663507269380849725}{87112285931760246646623899502532662132736}\cdot t^{49}+\frac{160184709908879172656449684738455}{87112285931760246646623899502532662132736}\cdot t^{47}-\frac{20845030866919271173904190345765}{174224571863520493293247799005065324265472}\cdot t^{45}+\frac{39533679230364134984990705828175}{5575186299632655785383929568162090376495104}\cdot t^{43}-\frac{4252401708757452518337892479195}{11150372599265311570767859136324180752990208}\cdot t^{41}+\frac{413343930912886565319709795275}{22300745198530623141535718272648361505980416}\cdot t^{39}-\frac{36140159623179816507599405109}{44601490397061246283071436545296723011960832}\cdot t^{37}+\frac{90486264319690818774666179709}{2854495385411919762116571938898990272765493248}\cdot t^{35}-\frac{6299207589822866171864557965}{5708990770823839524233143877797980545530986496}\cdot t^{33}+\frac{96910885997274864182531661}{2854495385411919762116571938898990272765493248}\cdot t^{31}-\frac{5233255369728581099161215}{5708990770823839524233143877797980545530986496}\cdot t^{29}+\frac{7869265481888162689849827}{365375409332725729550921208179070754913983135744}\cdot t^{27}-\frac{318692994593601604261831}{730750818665451459101842416358141509827966271488}\cdot t^{25}+\frac{10999528115287676171025}{1461501637330902918203684832716283019655932542976}\cdot t^{23}-\frac{319320781774845906055}{2923003274661805836407369665432566039311865085952}\cdot t^{21}+\frac{122815685298017656175}{93536104789177786765035829293842113257979682750464}\cdot t^{19}-\frac{2398798650595204935}{187072209578355573530071658587684226515959365500928}\cdot t^{17}+\frac{18595338376707015}{187072209578355573530071658587684226515959365500928}\cdot t^{15}-\frac{222204453118725}{374144419156711147060143317175368453031918731001856}\cdot t^{13}+\frac{31512631533201}{11972621413014756705924586149611790497021399392059392}\cdot t^{11}-\frac{196708062005}{23945242826029513411849172299223580994042798784118784}\cdot t^9+\frac{802890049}{47890485652059026823698344598447161988085597568237568}\cdot t^7-\frac{1910127}{95780971304118053647396689196894323976171195136475136}\cdot t^5+\frac{138415}{12259964326927110866866776217202473468949912977468817408}\cdot t^3-\frac{47}{24519928653854221733733552434404946937899825954937634816}\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.