Rule: Q[6, 47]

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.

• $P_1$:
  $\frac{231}{16}\cdot t^6-\frac{315}{16}\cdot t^4+\frac{105}{16}\cdot t^2-\frac{5}{16}$
• $P_2$:
  $\frac{231}{16}\cdot t^{53}-\frac{377885281662251628888375807965790413832377890993}{1947686432166362134893345826539401964625412640}\cdot t^{51}+\frac{387383846799490496670420859234711709618825063226761}{314875973200228545141090908623869984281108376800}\cdot t^{49}-\frac{9004546883747939586109197571196507694052393696253077867}{1839662873422335274986823633634960383162375691454000}\cdot t^{47}+\frac{468933798001611795183602806227644875531194841619342956277}{34217729445655436114754919585610263126820187861044400}\cdot t^{45}-\frac{47753710749223822347070013896924355103099429093168081932}{1663361848052694811133919702078276679775981354356325}\cdot t^{43}+\frac{183769013715708113030029301821649709286998031863468455779}{3934596796722653506735384810231671083058135296683400}\cdot t^{41}-\frac{34809364768901554510865166925595021260988813329349442257}{575794653178924903424690460033903085325580775124400}\cdot t^{39}+\frac{23170632768041781447014490187857855382481207717829338689}{366185196100632065774474196074192751632496545583500}\cdot t^{37}-\frac{2632765369298792809553206951281762067187177512723900206021}{48629394042163938334850173238652797416795541253488800}\cdot t^{35}+\frac{50065228392922643244030160674427055420926869525260120485349}{1312993639138426335040954677443625530253479613844197600}\cdot t^{33}-\frac{191827811421483905752476524908567936546637301049416258059663}{8643874790994640039019618293170534740835407457807634200}\cdot t^{31}+\frac{62579548800298220727555571143479620206942221632404876945199}{5855528084222175510303612392147781598630437310127752200}\cdot t^{29}-\frac{4601681093976934030639537708598768021493324053805564315217}{1081686222454835377519140220224343891372617729703402500}\cdot t^{27}+\frac{81603910436823718848551082774149817080733922584467918641}{58491180917928135228812767463983040052000810569146950}\cdot t^{25}-\frac{6226534204722267092855149686982284994295071691708481345991}{16611495380691590404982825959771183374768230201637733800}\cdot t^{23}+\frac{8155736508404897963841098458038252281307318553223951698561}{99668972284149542429896955758627100248609381209826402800}\cdot t^{21}-\frac{63899148722556606812420950721486069832200561040997022982829}{4451880762025346228535397357218677144437885694038912658400}\cdot t^{19}+\frac{14788112139270823478226794904000066970024490088230508056013}{7419801270042243714225662262031128574063142823398187764000}\cdot t^{17}-\frac{3347383564198680372324731495450409137324489936914342732901}{15581582667088711799873890750265370005532599929136194304400}\cdot t^{15}+\frac{792692644592177260541473113873878248499065482187870401907}{45260787747257686656776539798389884301785171222728945360400}\cdot t^{13}-\frac{106183552684070783231060090847761665768197399907412093887}{101836772431329794977747214546377239679016635251140127060900}\cdot t^{11}+\frac{501202435093386791600568682402557946932241085519021508929}{11609392057171596627463182458287005323407896418629974484942600}\cdot t^9-\frac{881062342448139438051191373700214893466515080508344426329}{761060145970138001133697516709925904534517654110187216235126000}\cdot t^7+\frac{17314520164864503775406488841558679861328690400578819}{963367273379921520422401919885982157638629941911629387639400}\cdot t^5-\frac{120800197893031562200060789836994205070128836074461699}{913272175164165601360437020051911085441421184932224659482151200}\cdot t^3+\frac{52403559290286972156973350085835370811122196899929}{179720227241141021954463509970054791914175253259755053472391200}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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