Rule: Q[1, 34, 36]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{35}-\frac{595}{69}\cdot t^{33}+\frac{52360}{1541}\cdot t^{31}-\frac{1623160}{20033}\cdot t^{29}+\frac{23535820}{180297}\cdot t^{27}-\frac{14121492}{94001}\cdot t^{25}+\frac{706074600}{5546059}\cdot t^{23}-\frac{369848600}{4581527}\cdot t^{21}+\frac{176518650}{4581527}\cdot t^{19}-\frac{176518650}{12780049}\cdot t^{17}+\frac{47071640}{12780049}\cdot t^{15}-\frac{9169800}{12780049}\cdot t^{13}+\frac{59603700}{600662303}\cdot t^{11}-\frac{16811300}{1801986909}\cdot t^9+\frac{100867800}{180799353203}\cdot t^7-\frac{20173560}{1058967640189}\cdot t^5+\frac{4202825}{13766579322457}\cdot t^3-\frac{741675}{509363434930909}\cdot t$
• $P_3$:
  $t^{71}-\frac{89389}{5037}\cdot t^{69}+\frac{1346186909}{8926075}\cdot t^{67}-\frac{7954810930399}{9735150425}\cdot t^{65}+\frac{3080571657300729688}{971699062516875}\cdot t^{63}-\frac{4509346482815508710136}{480775102820849375}\cdot t^{61}+\frac{357980206852187549778164990648}{16271106478187095411078125}\cdot t^{59}-\frac{819425452494274766141526582616232}{19507953541483399459210734375}\cdot t^{57}+\frac{95149984548062639639787880203924139868}{1430951172867679024454728442578125}\cdot t^{55}-\frac{2013796185185304154037543632073135464245060676}{22764364291119041188741172875035689296875}\cdot t^{53}+\frac{1174618901297983883215874476868965535566952043572}{11758008914516674576260181272718905556640625}\cdot t^{51}-\frac{140667105918364439191271835727239380482928494348}{1458072999811016196288935844164769755859375}\cdot t^{49}+\frac{30769816671619461718653985763061647114181161526911794069522504}{384108324948714874178020014233767362230479485920654296875}\cdot t^{47}-\frac{29902145304008293178436058373549255074777366465276345224926877112}{520826371077801068435979521002207664416728237409305908203125}\cdot t^{45}+\frac{2748882878939679946018178660982502788736864273697738219074473596827448}{77202382332846384485969931053446687767416302591313308831787109375}\cdot t^{43}-\frac{799648108440232224022142460782198617270240377314315762617270000452909801896}{41790836318972585398072854519333629955028357666538658212440264892578125}\cdot t^{41}+\frac{8975754459795922814309788593347996608834876619624091064738115059543614048994326154}{1007019948932213961428084716874105618398238888610492216052897503173675537109375}\cdot t^{39}-\frac{4264216536964141943996608749605187705594174605736437608324811587976615685613255834126}{1185623974233858165817778613966879684102357308931486438064125503928863067626953125}\cdot t^{37}+\frac{462142567402153481534428427457921863410263516915743852419026508150789111402194984193449762974}{368191684544596562621123819974356805162126861844970115406192941098762019742443084716796875}\cdot t^{35}-\frac{20343334908104078299367345904379642481810443659268118735814700135701598541207686835599524902}{53836431185512438568130709811376541259000062152121680740065186345533270113600921630859375}\cdot t^{33}+\frac{3669050311605962750894630049715837015019185605911634794995456089045240379635972507831416504}{37522361129296548092939585626110922695666709984812080515803008665068642806449127197265625}\cdot t^{31}-\frac{1755554449615040309914457006107136889993151523821037896616759318349317862381385918562541016}{81096715989124797491192007643530058729344179644593851437380696147083840904261016845703125}\cdot t^{29}+\frac{4000502739669895794264893435468873898755235811074208309311564852521752348864160499705322712}{981549907316648411014082575271691400482751967422497994983469805090566488186055755615234375}\cdot t^{27}-\frac{9057313132759368788279662456658992410458867443500846344788122201216752902753966275753032}{13982192411918068532964139248884492884369686145619629558169085542600662224872589111328125}\cdot t^{25}+\frac{2938226327347468453349874038097870789426895149916096080369775217376179638800747040274156}{34116549485080087220432499767278162637862034195311896121932568723945615828689117431640625}\cdot t^{23}-\frac{93087994611047443465584749096234742134684851470100337918885794781474571196572368594948}{9828041109512724498050655013173132645503617848870364867489991315733229019238739013671875}\cdot t^{21}+\frac{23166321069339866604608653943464480289433828542895805390102493413880324957167615352956}{27259195989148095348613565387825246127614640294329747364708773727400595398403778076171875}\cdot t^{19}-\frac{5351762876212524641973656983149458670624057157346685387812429591577043857960244589572}{87516366070422832435022499403017895462341739892321820486696589335338753647506866455078125}\cdot t^{17}+\frac{240248288539765656240350969305647661092349692576623701662436929358222970257021521874904}{69575511025986151785842887025399226892561683214395847286923788521594309149767958831787109375}\cdot t^{15}-\frac{98703143725287307283176863305093979704517851282903850825770520724537424282244348562136}{663286538447734647025035522975472629709088046643907077468673450572532413894454540863037109375}\cdot t^{13}+\frac{240691653021829938538544537477552782627360997468703033211083212017027949448055472744}{51022041419056511309618117151959433054545234357223621343744111582502493376496503143310546875}\cdot t^{11}-\frac{3488852342889405759428314031518521027270473440963365738959053168111012290753278417032}{33354499985857761166133080039976389372294070932981369189351264217252311806398759463958740234375}\cdot t^9+\frac{9445179604203901624737008429123651357757962942355553919859318913981744974370618459}{6261955936042261674867896252715873866829155079371981188805409757261928270166816910858154296875}\cdot t^7-\frac{4142918584565436516626704767084342657724491891541388321448831933907580641517513519}{328094918161542029771439774249440954283023377478019350522703612071664897180589104531097412109375}\cdot t^5+\frac{6884903456863841944132147163095245134293067056058234069947440736660806843904853767}{137209294775156876850416113591116207081160376461307692388594650568370260000922363514904937744140625}\cdot t^3-\frac{35511686012536238048779054127617403430643639568420470730395355083643701162647449}{594573610692346466351803158894836897351694964665666667017243485796271126670663575231254730224609375}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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