(1) CYCLOTOMIC SCHEMES OVER Z_p, p < 150, all the groups E of order 2 <= k < p-1: schemes 176 (symmetric 117), with c = k-1: 176, bound N > 2(k-1)(k-2)+2 applies 86, all commutative 139, violations: [] (2) CYCLOTOMIC SCHEMES OVER Z_N, N < 100, groups -1 in E generated by at most 3 elements: groups 360, with c <= km: 360, bound N > 2(k-1)(c-1)+2 applies 132, all commutative 256, violations: [] (4): bound of Theorem 8.2 applies 135, Lemma 6.3 (2) applies to all the pairs 135 (3) COSET SCHEMES, with (4): PSL(2,7) / Z_2 N= 84 k=2 m=4 c= 8 (km= 8) bound= 16 applies=True all commutative=True Lemma 6.3 (2) for all the pairs=True PSL(2,7) / Z_3 N= 56 k=3 m=2 c= 4 (km= 6) bound= 14 applies=True all commutative=True Lemma 6.3 (2) for all the pairs=True A_5 / Z_2 N= 30 k=2 m=2 c= 4 (km= 4) bound= 8 applies=True all commutative=True Lemma 6.3 (2) for all the pairs=True A_5 / Z_3 N= 20 k=3 m=2 c= 4 (km= 6) bound= 14 applies=True all commutative=True Lemma 6.3 (2) for all the pairs=True S_5 / <(12)(34)> N= 60 k=2 m=4 c= 8 (km= 8) bound= 16 applies=True all commutative=True Lemma 6.3 (2) for all the pairs=True S_5 / <(123)> N= 40 k=3 m=4 c= 8 (km=12) bound= 30 applies=True all commutative=True Lemma 6.3 (2) for all the pairs=True