Rule: Q[7, 46]

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.

• $P_1$:
  $\frac{429}{16}\cdot t^7-\frac{693}{16}\cdot t^5+\frac{315}{16}\cdot t^3-\frac{35}{16}\cdot t$
• $P_2$:
  $\frac{429}{16}\cdot t^{53}-\frac{497358798350424908828226205924038373588938096455279}{1392216927491724944003352357446270251538189444912}\cdot t^{51}+\frac{327194656212913383799399550094596930985379678180504533}{145706492648278686902666640146416231325457353221448}\cdot t^{49}-\frac{18297696487623419705472728178730870762920689878510344847169}{2066430293951123806037461528647924480690682677294178600}\cdot t^{47}+\frac{590163907500237533503215305009775041734493243988465319925078}{24022252167181814245185490270532122088029186123544826225}\cdot t^{45}-\frac{96506073580832861293259597509779551532522625406831708359122}{1892662291959779304166129536466167194814420724885349945}\cdot t^{43}+\frac{2700703794591859301296902958060031042027850988898444784975351}{32867696387203972306494737316192952261167501368740711240}\cdot t^{41}-\frac{20079065699465624831431616178566823852703880825495275761935455}{190632639045783039377669476433919123114771507938696125192}\cdot t^{39}+\frac{4212212860353897748500016584883042694729399683464942828643011}{38589603045705068699933092395530186865338361930910146800}\cdot t^{37}-\frac{296106350108222153248772131270168511675852624112134010951649761}{3202937052793520702094446668829005509823084040265542184400}\cdot t^{35}+\frac{92874466340957230128384161220592550463694283095363764447126577}{1441321673757084315942501000973052479420387818119493982980}\cdot t^{33}-\frac{1408297698915622756593713786213653150063647999471320445019828429}{37954804075603220319819193025623715291403545877146674885140}\cdot t^{31}+\frac{223852976632152204726443058373406568831672069944891860799717}{12665674330012198104500286882855522344183608190371526658}\cdot t^{29}-\frac{33041577798594303688943253194797311058240700680906829210633387}{4749627873754574289187607581070820879068853071389322496750}\cdot t^{27}+\frac{637136884985299551718479569503470579482759980658582229572292217}{282514902416660974386492510192582901177206593801898219621500}\cdot t^{25}-\frac{480410346313682796793552454922578143183203150135146548926525927}{802342322863317167257638728946935439343266726397390943725060}\cdot t^{23}+\frac{113021670977037134118064609631153254755389558133684189349050031}{875282534032709637008333158851202297465381883342608302245520}\cdot t^{21}-\frac{87444186110735387422731393039229738654711341592734553908894139}{3909595318679436378637221442868703595345372412263650416696656}\cdot t^{19}+\frac{102510725286147609494580815585082736108879742729742588430407619}{33437328383442547975186762340324438644401211420675957511221400}\cdot t^{17}-\frac{10902705387532248631752538220072065720159610627003959851386243}{33437328383442547975186762340324438644401211420675957511221400}\cdot t^{15}+\frac{832815176265220066405840805914774905924010912497863234863779}{31765461964270420576427424223308216712181150849642159635660330}\cdot t^{13}-\frac{593666867868161013745826167222076901094780269318102424159}{385815327501260168944462642388358907435398593315491817437170}\cdot t^{11}+\frac{1238080545216305081867312122282242653813241459581705208648023}{19721953585078416812035463568551175286719731133663984527026281192}\cdot t^9-\frac{5540063536849463783796737258915185044731173604165459674393099}{3341775468582731737594897993560060256916398886537508489301675424200}\cdot t^7+\frac{169310667468326343351876426943305505544247363930250670711031}{6683550937165463475189795987120120513832797773075016978603350848400}\cdot t^5-\frac{8089518484463856892709832714013988119266975342906963279203}{44111436185292058936252653514992795391296465302295112058782115599440}\cdot t^3+\frac{365209129699223673062347438715834152500383700021073174}{918988253860251227838596948229016570652009693797814834557960741655}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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