Table 1Computed spherical designs Y Error to the exact spherical designs Y* ||Y-Y*||_infty< = r Determinant of the interpolation matrix G(Y) Extremal(maximum determinant) points Y0 ||Y-Y0||_infty< = r0 |
|
t | d | points Y | error r | logdetG(Y) | r0 | |
---|---|---|---|---|---|---|
2 | 9 | P2_9 | 1.01e-15 | -3.2157 | 0.0510 | |
3 | 16 | P3_16 | 2.36e-15 | 2.5779 | 0.5484 | |
4 | 25 | P4_25 | 1.80e-14 | 15.9337 | 0.2004 | |
5 | 36 | P5_36 | 1.34e-14 | 35.4829 | 0.5190 | |
6 | 49 | P6_49 | 3.45e-14 | 62.6443 | 0.3636 | |
7 | 64 | P7_64 | 5.07e-14 | 100.4167 | 0.2554 | |
8 | 81 | P8_81 | 1.15e-13 | 144.3611 | 0.5548 | |
9 | 100 | P9_100 | 1.84e-13 | 186.2265 | 0.5052 | |
10 | 121 | P10_121 | 6.14e-11 | 265.5051 | 0.0716 | |
11 | 144 | P11_144 | 1.82e-13 | 341.6779 | 0.0370 | |
12 | 169 | P12_169 | 1.43e-12 | 427.4153 | 0.0346 | |
13 | 196 | P13_196 | 2.43e-11 | 524.2790 | 0.0526 | |
14 | 225 | P14_225 | 5.55e-11 | 632.7154 | 0.0470 | |
15 | 256 | P15_256 | 3.08e-11 | 752.4770 | 0.0182 | |
16 | 289 | P16_256 | 4.60e-11 | 884.3355 | 0.0199 | |
17 | 324 | P17_324 | 4.38e-11 | 1028.0864 | 0.0294 | |
18 | 361 | P18_361 | 2.26e-10 | 1184.3307 | 0.0285 | |