1097 equilateral minimal stick candidate (12 vertices)

-1.574405 2.491773 4.067429
0.104049 1.383114 -3.675546
-0.665634 -4.667884 1.500651
1.905282 2.875438 0.801587
-5.059679 -0.806076 2.192913
2.170987 -3.503669 0.085673
3.023683 4.401106 -0.801712
-4.177785 0.975323 -1.436434
2.695244 1.219621 2.650348
0.592556 -5.075738 -1.815877
-2.880917 2.004374 -3.160126
3.866617 -1.297381 -0.408907