*v**k**λ*- an abelian group
*G*, given by its invariant factors - the difference set's status (Yes, No, Open)
- for each
*p*dividing*n*, whether any known theorems imply that must be a multiplier:- 'FMT': First Multiplier Theorem
- 'SMT': Second Multiplier Theorem
- 'McF': McFarland
- 'LMS': Leung, Ma and Schmidt
- '4.3': Corollary 4.3 from the paper
- '5.1': Result 5.1 from the paper
- 'Trivial':
*p*≡ 1 modulo*exp(G)* - 'Exhaust': a search of unions of orbits found all such difference
sets, and
*p*was a multiplier for all of them - 'OPEN': none of the above results apply

The primes are not identified; the status for each, from smallest to largest, are given in order for each set of parameters.

Of the 413586 *(v,k,λ,G,p)* possibilities, 268592 must be multipliers,
leaving 35% of the cases open. Most of these are open cases, most of which
presumably don't have any difference sets. 99% of Paley parameter primes are
covered by known theorems.

As further calculations are done the numbers will be revised. This page was last updated October 4, 2015, with the numbers from the paper.