Rule: Q[46, 47, 92]

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.

• $P_1$:
  $35184372088832\cdot t^{46}-404620279021568\cdot t^{44}+2174833999740928\cdot t^{42}-7257876254949376\cdot t^{40}+16848641306132480\cdot t^{38}-28889255702953984\cdot t^{36}+37917148110127104\cdot t^{34}-38958828003262464\cdot t^{32}+31782201792135168\cdot t^{30}-20758645314682880\cdot t^{28}+10898288790208512\cdot t^{26}-4599927086776320\cdot t^{24}+1555857691115520\cdot t^{22}-418884762992640\cdot t^{20}+88826010009600\cdot t^{18}-14613311324160\cdot t^{16}+1826663915520\cdot t^{14}-168586629120\cdot t^{12}+11038410240\cdot t^{10}-484140800\cdot t^8+13034560\cdot t^6-186208\cdot t^4+1058\cdot t^2-1$
• $P_2$:
  $35184372088832\cdot t^{93}-826832744087552\cdot t^{91}+9403023440740352\cdot t^{89}-68939379061555200\cdot t^{87}+366252683331371008\cdot t^{85}-1502547304383512576\cdot t^{83}+4953461099023302656\cdot t^{81}-13483577413749178368\cdot t^{79}+30902660173230243840\cdot t^{77}-60508706657053704192\cdot t^{75}+102361175724329533440\cdot t^{73}-150921515944577597440\cdot t^{71}+195287538539912232960\cdot t^{69}-222997648978450841600\cdot t^{67}+225701556160839024640\cdot t^{65}-203181445235699875840\cdot t^{63}+163125114893159792640\cdot t^{61}-117038791476371177472\cdot t^{59}+75152543323697684480\cdot t^{57}-43228299712703049728\cdot t^{55}+22284358512234225792\cdot t^{53}-10295316643016763072\cdot t^{51}+4260858832333159680\cdot t^{49}-1578321564036453600\cdot t^{47}+522599458251060645\cdot t^{45}-\frac{308807070568503507}{2}\cdot t^{43}+\frac{162463414094057979}{4}\cdot t^{41}-\frac{75890979156093353}{8}\cdot t^{39}+\frac{4015856203705464125}{2048}\cdot t^{37}-\frac{1463563723797501319}{4096}\cdot t^{35}+\frac{234036416267560263}{4096}\cdot t^{33}-\frac{32665821924165353}{4096}\cdot t^{31}+\frac{506201021496372587}{524288}\cdot t^{29}-\frac{105531182376107845}{1048576}\cdot t^{27}+\frac{18779269327651287}{2097152}\cdot t^{25}-\frac{2823284876560785}{4194304}\cdot t^{23}+\frac{5667640698464745}{134217728}\cdot t^{21}-\frac{584729223786435}{268435456}\cdot t^{19}+\frac{12178986426425}{134217728}\cdot t^{17}-\frac{1602275285205}{536870912}\cdot t^{15}+\frac{1293840127685}{17179869184}\cdot t^{13}-\frac{48252375395}{34359738368}\cdot t^{11}+\frac{1263454423}{68719476736}\cdot t^9-\frac{21582165}{137438953472}\cdot t^7+\frac{6865431}{8796093022208}\cdot t^5-\frac{32453}{17592186044416}\cdot t^3+\frac{23}{17592186044416}\cdot t$
• $P_3$:
  $35184372088832\cdot t^{185}-1636073302130688\cdot t^{183}+37422977762983936\cdot t^{181}-561311681095925760\cdot t^{179}+6209535348574257152\cdot t^{177}-54030189130523082752\cdot t^{175}+385094233786909982720\cdot t^{173}-2311983560206309130240\cdot t^{171}+11932779052602595737600\cdot t^{169}-53773896472115441303552\cdot t^{167}+214171311105489317658624\cdot t^{165}-761315681634013212049408\cdot t^{163}+2434849802299045205508096\cdot t^{161}-7053311193102298927595520\cdot t^{159}+18611645477824318433918976\cdot t^{157}-44951638717568639113887744\cdot t^{155}+99789110617341469944102912\cdot t^{153}-204346519648323923290742784\cdot t^{151}+387230292535623072859699200\cdot t^{149}-680917078473625091887764480\cdot t^{147}+1113794416995449376702816000\cdot t^{145}-1698412169533423750113617280\cdot t^{143}+2419046625408247812942342560\cdot t^{141}-3223681549759230163405146800\cdot t^{139}+\frac{32204698643180796448560168415}{8}\cdot t^{137}-\frac{75472030246924984697143642523}{16}\cdot t^{135}+\frac{332329282478033365476264947823}{64}\cdot t^{133}-\frac{688137480963416528514942586037}{128}\cdot t^{131}+\frac{670689770203644317688626986845}{128}\cdot t^{129}-\frac{615894201438880847997386711839}{128}\cdot t^{127}+\frac{2133108001461816210960992016741}{512}\cdot t^{125}-\frac{3485265442266576995312149531675}{1024}\cdot t^{123}+\frac{344057991910542927778895678797925}{131072}\cdot t^{121}-\frac{501247036820913865619058796884625}{262144}\cdot t^{119}+\frac{1380018930222223946366987466872065}{1048576}\cdot t^{117}-\frac{1795638952132243571467379684053635}{2097152}\cdot t^{115}+\frac{4418063191633426170077023365238655}{8388608}\cdot t^{113}-\frac{5139889275294415251629207789624595}{16777216}\cdot t^{111}+\frac{11311166673776893726466103000285725}{67108864}\cdot t^{109}-\frac{11772521054931605169968238989945835}{134217728}\cdot t^{107}+\frac{370877974077151887718544981200383585}{8589934592}\cdot t^{105}-\frac{345364912311014653820032645558822485}{17179869184}\cdot t^{103}+\frac{608348435486582744820798070878729705}{68719476736}\cdot t^{101}-\frac{506676340057205542543997364160843875}{137438953472}\cdot t^{99}+\frac{398984114960756200509729820493647725}{274877906944}\cdot t^{97}-\frac{296972119913798864405241143565898875}{549755813888}\cdot t^{95}+\frac{417738626870868328967244438344557425}{2199023255552}\cdot t^{93}-\frac{277524547605933725221676641972996575}{4398046511104}\cdot t^{91}+\frac{5570568947728566570081057800907997125}{281474976710656}\cdot t^{89}-\frac{3297515145181599952983532119453203425}{562949953421312}\cdot t^{87}+\frac{3682172319652761141212276084507621785}{2251799813685248}\cdot t^{85}-\frac{1937871230722566256403905122910704155}{4503599627370496}\cdot t^{83}+\frac{1921383208990836572892295913205134765}{18014398509481984}\cdot t^{81}-\frac{896574206177543867075135344872799425}{36028797018963968}\cdot t^{79}+\frac{786946530571533323284377487428433815}{144115188075855872}\cdot t^{77}-\frac{324520060553834775127288543685037105}{288230376151711744}\cdot t^{75}+\frac{32160360200786971964537537204386110525}{147573952589676412928}\cdot t^{73}-\frac{11674602078170160763652650882931862225}{295147905179352825856}\cdot t^{71}+\frac{7939155963263113422648987645421084125}{1180591620717411303424}\cdot t^{69}-\frac{2525310078889455346628016593814316911}{2361183241434822606848}\cdot t^{67}+\frac{187605221450159883479627753557936581}{1180591620717411303424}\cdot t^{65}-\frac{104010623065119610095843654849148653}{4722366482869645213696}\cdot t^{63}+\frac{53707236640205933463606514860191919}{18889465931478580854784}\cdot t^{61}-\frac{12892358298126155704608105805569585}{37778931862957161709568}\cdot t^{59}+\frac{367625402995301214320408736735208683}{9671406556917033397649408}\cdot t^{57}-\frac{75849455731312863864149684728147359}{19342813113834066795298816}\cdot t^{55}+\frac{28923933873358952775230404995099423}{77371252455336267181195264}\cdot t^{53}-\frac{5084172723073688084902743559099197}{154742504910672534362390528}\cdot t^{51}+\frac{1643493370137898243812342277187925}{618970019642690137449562112}\cdot t^{49}-\frac{243558184031803021436670770281665}{1237940039285380274899124224}\cdot t^{47}+\frac{65982672865656637192548457012575}{4951760157141521099596496896}\cdot t^{45}-\frac{8141467316685871778950699334745}{9903520314283042199192993792}\cdot t^{43}+\frac{29171869960751188177843468886985}{633825300114114700748351602688}\cdot t^{41}-\frac{2951934090678756267371732785725}{1267650600228229401496703205376}\cdot t^{39}+\frac{537408867123907661054562582465}{5070602400912917605986812821504}\cdot t^{37}-\frac{43778982829604336284137156171}{10141204801825835211973625643008}\cdot t^{35}+\frac{3173362274098328707579474563}{20282409603651670423947251286016}\cdot t^{33}-\frac{203354338400390258938335297}{40564819207303340847894502572032}\cdot t^{31}+\frac{22872323731007621810697555}{162259276829213363391578010288128}\cdot t^{29}-\frac{1119423185032180132241277}{324518553658426726783156020576256}\cdot t^{27}+\frac{1511132094829167548800293}{20769187434139310514121985316880384}\cdot t^{25}-\frac{54334515996580076198305}{41538374868278621028243970633760768}\cdot t^{23}+\frac{3286901245744513877865}{166153499473114484112975882535043072}\cdot t^{21}-\frac{82334308730217388075}{332306998946228968225951765070086144}\cdot t^{19}+\frac{3351984649049537193}{1329227995784915872903807060280344576}\cdot t^{17}-\frac{54170290559495677}{2658455991569831745807614120560689152}\cdot t^{15}+\frac{1349678368141771}{10633823966279326983230456482242756608}\cdot t^{13}-\frac{12474072276029}{21267647932558653966460912964485513216}\cdot t^{11}+\frac{5197223168215}{2722258935367507707706996859454145691648}\cdot t^9-\frac{22127614899}{5444517870735015415413993718908291383296}\cdot t^7+\frac{109846919}{21778071482940061661655974875633165533184}\cdot t^5-\frac{129789}{43556142965880123323311949751266331066368}\cdot t^3+\frac{23}{43556142965880123323311949751266331066368}\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.