Table 1: Lowest minima located for the Thomson problem in D.J. Wales, H. Mackay and E.L. Altshuler, Phys. Rev. B, 79, 224115 (2009).

$N$	Energy	Point Group	Voronoi Image	xyz coordinates
400	75582.4485122	$T$	rep1 400.gif rep2 400.gif rep3	rep4 400.xyz rep2 400.xyz rep3
410	79465.7432085	$C_2$	rep1 410.gif rep2 410.gif rep3	rep4 410.xyz rep2 410.xyz rep3
420	83446.9975989	$C_2$	rep1 420.gif rep2 420.gif rep3	rep4 420.xyz rep2 420.xyz rep3
430	87526.1187028	$C_2$	rep1 430.gif rep2 430.gif rep3	rep4 430.xyz rep2 430.xyz rep3
432	88360.9238182	$D_3$	rep1 432.gif rep2 432.gif rep3	rep4 432.xyz rep2 432.xyz rep3
440	91703.3295563	$D_2$	rep1 440.gif rep2 440.gif rep3	rep4 440.xyz rep2 440.xyz rep3
450	95978.4413762	$C_2$	rep1 450.gif rep2 450.gif rep3	rep4 450.xyz rep2 450.xyz rep3
460	100351.7631087	$T$	rep1 460.gif rep2 460.gif rep3	rep4 460.xyz rep2 460.xyz rep3
470	104822.8863243	$S_6$	rep1 470.gif rep2 470.gif rep3	rep4 470.xyz rep2 470.xyz rep3
480	109392.3186786	$C_1$	rep1 480.gif rep2 480.gif rep3	rep4 480.xyz rep2 480.xyz rep3
490	114059.8425561	$C_2$	rep1 590.gif rep2 490.gif rep3	rep4 490.xyz rep2 490.xyz rep3
500	118825.4625421	$C_2$	rep1 500.gif rep2 500.gif rep3	rep4 500.xyz rep2 500.xyz rep3
510	123689.3168005	$C_2$	rep1 510.gif rep2 510.gif rep3	rep4 510.xyz rep2 510.xyz rep3
520	128651.1439930	$C_2$	rep1 520.gif rep2 520.gif rep3	rep4 520.xyz rep2 520.xyz rep3
530	133711.2618723	$C_2$	rep1 530.gif rep2 530.gif rep3	rep4 530.xyz rep2 530.xyz rep3
540	138869.5942030	$C_2$	rep1 540.gif rep2 540.gif rep3	rep4 540.xyz rep2 540.xyz rep3
550	144126.0927100	$C_2$	rep1 550.gif rep2 550.gif rep3	rep4 550.xyz rep2 550.xyz rep3
560	149480.8992800	$D_2$	rep1 560.gif rep2 560.gif rep3	rep4 560.xyz rep2 560.xyz rep3
570	154933.7024553	$T_h$	rep1 570.gif rep2 570.gif rep3	rep4 570.xyz rep2 570.xyz rep3
582	161613.2267094	$D_3$	rep1 582.gif rep2 582.gif rep3	rep4 582.xyz rep2 582.xyz rep3
752	271365.3818886	$C_2$	rep1 752.gif rep2 752.gif rep3	rep4 752.xyz rep2 752.xyz rep3
942	427713.0332165	$C_3$	rep1 942.gif rep2 942.gif rep3	rep4 942.xyz rep2 942.xyz rep3
1152	641951.6761546	$C_2$	rep1 1152.gif rep2 1152.gif rep3	rep4 1152.xyz rep2 1152.xyz rep3
1382	926576.7160510	$C_1$	rep1 1382.gif rep2 1382.gif rep3	rep4 1382.xyz rep2 1382.xyz rep3
1500	1092900.8642237	$C_1$	rep1 1500.gif rep2 1500.gif rep3	rep4 1500.xyz rep2 1500.xyz rep3
1632	1295282.2378931	$I$	rep1 1632.gif rep2 1632.gif rep3	rep4 1632.xyz rep2 1632.xyz rep3
1902	1762965.4579074	$I$	rep1 1902.gif rep2 1902.gif rep3	rep4 1902.xyz rep2 1902.xyz rep3
2000	1950575.6389387	$C_1$	rep1 2000.gif rep2 2000.gif rep3	rep4 2000.xyz rep2 2000.xyz rep3
2192	2345723.5209933	$C_1$	rep1 2192.gif rep2 2192.gif rep3	rep4 2192.xyz rep2 2192.xyz rep3
2500	3055924.2131105	$C_1$	rep1 2500.gif rep2 2500.gif rep3	rep4 2500.xyz rep2 2500.xyz rep3
2502	3060847.3069053	$C_1$	rep1 2502.gif rep2 2502.gif rep3	rep4 2502.xyz rep2 2502.xyz rep3
2832	3926833.9521952	$C_1$	rep1 2832.gif rep2 2832.gif rep3	rep4 2832.xyz rep2 2832.xyz rep3
3182	4963378.7006027	$C_1$	rep1 3182.gif rep2 3182.gif rep3	rep4 3182.xyz rep2 3182.xyz rep3
3552	6191369.8423152	$C_1$	rep1 3552.gif rep2 3552.gif rep3	rep4 3552.xyz rep2 3552.xyz rep3
3942	7632923.4474897	$C_1$	rep1 3942.gif rep2 3942.gif rep3	rep4 3942.xyz rep2 3942.xyz rep3
4352	9311298.8725923	$C_1$	rep1 4352.gif rep2 4352.gif rep3	rep4 4352.xyz rep2 4352.xyz rep3