Rule: Q[1, 32]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{33}+\frac{43237907514182792004719465672053979135}{40408374355447745272201549220252671}\cdot t^{32}-\frac{21745200821904890576901859452545433370112}{40408374355447745272201549220252671}\cdot t^{31}+\frac{220643460964331313689669308970325370705408}{1303495946949927266845211265169441}\cdot t^{30}-\frac{48731965523020220569054365809478284231923200}{1303495946949927266845211265169441}\cdot t^{29}+\frac{8043181421748883632844353660326531161272798720}{1303495946949927266845211265169441}\cdot t^{28}-\frac{1030913775690033445687238364222511815525519052800}{1303495946949927266845211265169441}\cdot t^{27}+\frac{105272999349422443497395968966908310676857866301440}{1303495946949927266845211265169441}\cdot t^{26}-\frac{8719022027281835055194672061794813205491874203228160}{1303495946949927266845211265169441}\cdot t^{25}+\frac{593227472884546780198568385130963483249254076665600000}{1303495946949927266845211265169441}\cdot t^{24}-\frac{33463716767172448858096389719907740448346572818964480000}{1303495946949927266845211265169441}\cdot t^{23}+\frac{1575339449989741516409411109215261788577509329530265600000}{1303495946949927266845211265169441}\cdot t^{22}-\frac{62168926343113655688604865549983403722276183504256655360000}{1303495946949927266845211265169441}\cdot t^{21}+\frac{2062494633666054766536561231959500049970725800492271984640000}{1303495946949927266845211265169441}\cdot t^{20}-\frac{57600799907701762134672189721767736830143019532795355136000000}{1303495946949927266845211265169441}\cdot t^{19}+\frac{1354307906503195730330414532441316555539584932601958929203200000}{1303495946949927266845211265169441}\cdot t^{18}-\frac{26777720378360973302049296902969813955182989201071520307200000000}{1303495946949927266845211265169441}\cdot t^{17}+\frac{26130705650032233064907699524002967660689383516953372298035200000}{76676232173525133343835956774673}\cdot t^{16}-\frac{362434715330894120217117897173847059430339951400323189886156800000}{76676232173525133343835956774673}\cdot t^{15}+\frac{4183019148357853067894653434285351591023523730310244426055680000000}{76676232173525133343835956774673}\cdot t^{14}-\frac{39925672818096997231853893455764850865961086543674862661271552000000}{76676232173525133343835956774673}\cdot t^{13}+\frac{312712433286024229205690046199291442268651773791536988622684160000000}{76676232173525133343835956774673}\cdot t^{12}-\frac{1990592257170272756713456814445500502525491181308104436072054784000000}{76676232173525133343835956774673}\cdot t^{11}+\frac{10176307785768470330163044891564013014538985262333216458272669696000000}{76676232173525133343835956774673}\cdot t^{10}-\frac{41168205620968592685719527257978086569421900204537558028229017600000000}{76676232173525133343835956774673}\cdot t^9+\frac{129389817316002131146261430595583825273577612283904953836242993152000000}{76676232173525133343835956774673}\cdot t^8-\frac{308663749957085592592717767077707446307023428689497156088674385920000000}{76676232173525133343835956774673}\cdot t^7+\frac{542320182033719952495112570037389881954923510225801735731459129344000000}{76676232173525133343835956774673}\cdot t^6-\frac{674322194377318257032995628343399464596272454590853956245416574976000000}{76676232173525133343835956774673}\cdot t^5+\frac{561530675243716259360335673210724577186391967024598493331613286400000000}{76676232173525133343835956774673}\cdot t^4-\frac{288932860776139523992176153335853588264899728232742321050081034240000000}{76676232173525133343835956774673}\cdot t^3+\frac{80820782348408818933211597697867310266887537628106097126119833600000000}{76676232173525133343835956774673}\cdot t^2-\frac{9719728865387463943264248698568915089366652334064101340196372480000000}{76676232173525133343835956774673}\cdot t+\frac{282935149612843197572031748027406557435526135291361834534174720000000}{76676232173525133343835956774673}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Laguerre type can be downloaded here packed into a single file.