| Λ | Quadratic method | Boulton and Straus method | Our improvement method | |
| λ1 | Upp low | 1.000343714729056 0.999656285291227 | 1.000000236289758 0.999999763730525 | 1.000000118025628 0.999999986897263 |
| λ2 | Upp low | 3.001030615492415 2.998969384689878 | 3.000002124427357 2.999997875754936 | 3.000000212522912 2.999999882073825 |
| λ3 | Upp low | 5.002199221800688 4.997800779032315 | 5.000009673565887 4.999990327267100 | 5.000000537815785 4.999999463031893 |
| λ4 | Upp low | 7.003900035336483 6.996099967297225 | 7.000030421847483 6.999969580786066 | 7.000001171500465 6.999998311445117 |
| λ5 | Upp low | 9.006150673512703 8.993849333094289 | 9.000075664791041 8.999924341814951 | 9.000001996954438 8.999996566707424 |