| x | HPM 2 terms | HPM 3 terms | Abbassi [2] | HPM 2 Error | HPM 3 Error |
| 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0.92171 | 0.860729 | 0.861666 | 0.06098172 | 0.000937481 |
| 2 | 0.996004 | 0.932566 | 0.931693 | 0.063437934 | 0.000873401 |
| 3 | 0.154577 | 0.145325 | 0.145255 | 0.009251442 | 7.01962E−05 |
| 4 | −0.82897 | −0.7828 | −0.783643 | 0.046167623 | 0.000842517 |
| 5 | −1.05036 | −0.99452 | −0.993778 | 0.055838839 | 0.000746558 |
| 6 | −0.30606 | −0.29088 | −0.290629 | 0.015181896 | 0.000248529 |
| 7 | 0.719634 | 0.687061 | 0.687723 | 0.032572757 | 0.000661586 |
| 8 | 1.083699 | 1.037556 | 1.036991 | 0.046143471 | 0.000564957 |
| 9 | 0.451416 | 0.433663 | 0.433154 | 0.0177533 | 0.000509129 |
| 10 | −0.5959 | −0.57511 | −0.575549 | 0.020785844 | 0.00043809 |
| 11 | −1.09535 | −1.06034 | −1.059976 | 0.03500432 | 0.000364889 |
| 12 | −0.58774 | −0.57069 | −0.569876 | 0.017048117 | 0.000814214 |
| 13 | 0.460232 | 0.448929 | 0.433154 | 0.011303398 | 0.01577506 |
| 14 | 1.085068 | 1.061946 | 1.061763 | 0.023121451 | 0.000183197 |
| 15 | 0.712297 | 0.699029 | 0.697907 | 0.013267577 | 0.001122069 |
| 16 | −0.31536 | −0.31084 | −0.310907 | 0.004517348 | 6.77414E−05 |
| 17 | −1.05307 | −1.04186 | −1.041802 | 0.011215634 | 5.4816E−05 |
| 18 | −0.8226 | −0.81587 | −0.814473 | 0.006727765 | 0.001397574 |
| 19 | 0.164169 | 0.163462 | 0.163476 | 0.000707021 | 1.413E−05 |
| 20 | 1 | 1 | 1 | 0 | 0 |