p = 7: PG(3,7) has 400 points and 2850 lines; 4800 configurations
(family, gap = 1 ?, type) -> count
   ('PS', False, 'other') 546
   ('PS', True, 'coplanar') 139
   ('PS', True, 'pseudostar') 115
   ('RAND', False, 'other') 1981
   ('RAND', True, 'coplanar') 19
   ('RICH', False, 'other') 1906
   ('RICH', True, 'coplanar') 88
   ('RICH', True, 'pseudostar') 6
gap-1 configurations by (type, number of lines, alpha): {('coplanar', 2, 1): 228, ('coplanar', 3, 1): 14, ('coplanar', 4, 1): 3, ('coplanar', 5, 1): 1, ('pseudostar', 3, 2): 35, ('pseudostar', 6, 3): 22, ('pseudostar', 10, 4): 21, ('pseudostar', 15, 5): 21, ('pseudostar', 21, 6): 22}
violations: 0
total time 31.6s
RESULT: CLASSIFICATION CONFIRMED on all sampled configurations over F_7
nice -n 10 $S/venv/bin/python survey_Fp.py 7 2000 6  45.78s user 0.27s system 145% cpu 31.740 total
