Gauss Legendre Abscissas and Weights
| n=2 | |
|---|---|
| +/-x | +/- Weights |
| 0.577350269189626 | 1.00000000000 |
| n=4 | |
| 0.339981043584856 | 0.652145154862546 |
| 0.861136311594053 | 0.347854845137454 |
| n=8 | |
| 0.18343464249565 | 0.362683783378362 |
| 0.52553240991633 | 0.313706645877887 |
| 0.79666647741363 | 0.222381034453374 |
| 0.96028985649754 | 0.101228536290376 |
| n=16 | |
| 0.09501250983764 | 0.18945061045507 |
| 0.28160355077926 | 0.18260341504492 |
| 0.45801677765723 | 0.16915651939500 |
| 0.61787624440264 | 0.14959598881658 |
| 0.75540440835500 | 0.12462897125553 |
| 0.86563120238783 | 0.09515851168249 |
| 0.94457502307323 | 0.06225352393865 |
| 0.98940093499165 | 0.02715245941175 |
| n=32 | |
| 0.04830766568774 | 0.09654008851473 |
| 0.14447196158280 | 0.09563872007927 |
| 0.23928736225214 | 0.09384439908080 |
| 0.33186860228213 | 0.09117387869576 |
| 0.42135127613064 | 0.08765209300440 |
| 0.50689990893223 | 0.08331192422695 |
| 0.58771575724076 | 0.07819389578707 |
| 0.66304426693022 | 0.07234579410885 |
| 0.73218211874029 | 0.06582222277636 |
| 0.79448379596794 | 0.05868409347854 |
| 0.84936761373257 | 0.05099805926238 |
| 0.89632115576605 | 0.04283589802223 |
| 0.93490607593774 | 0.03427386291302 |
| 0.96476225558751 | 0.02539206530926 |
| 0.98561151154527 | 0.01627439473091 |
| 0.99726386184948 | 0.00701861000947 |
| n=64 | |
| 0.02435029266342 | 0.04869095700914 |
| 0.07299312178780 | 0.04857546744150 |
| 0.12146281929612 | 0.04834476223480 |
| 0.16964442042399 | 0.04799938859646 |
| 0.21742364374001 | 0.04754016571483 |
| 0.26468716220877 | 0.04696818281621 |
| 0.31132287199021 | 0.04628479658131 |
| 0.35722015833767 | 0.04549162792742 |
| 0.40227015796399 | 0.04459055816376 |
| 0.44636601725346 | 0.04358372452932 |
| 0.48940314570705 | 0.04247351512365 |
| 0.53127946401989 | 0.04126256324262 |
| 0.57189564620263 | 0.03995374113272 |
| 0.61115535517239 | 0.03855015317862 |
| 0.64896547125466 | 0.03705512854024 |
| 0.68523631305423 | 0.03547221325688 |
| 0.71988185017161 | 0.03380516183714 |
| 0.75281990726053 | 0.03205792835485 |
| 0.78397235894334 | 0.03023465707240 |
| 0.81326531512280 | 0.02833967261426 |
| 0.84062929625258 | 0.02637746971505 |
| 0.86599939815409 | 0.02435270256871 |
| 0.88931544599511 | 0.02227017380838 |
| 0.91052213707850 | 0.02013482315353 |
| 0.92956917213194 | 0.01795171577570 |
| 0.94641137485840 | 0.01572603047602 |
| 0.96100879965205 | 0.01346304789672 |
| 0.97332682778991 | 0.01116813946013 |
| 0.98333625388463 | 0.00884675982636 |
| 0.99101337147674 | 0.00650445796898 |
| 0.99634011677196 | 0.00414703326056 |
| 0.99930504173577 | 0.00178328072170 |
