pentagon (Gamma: j ~ j+-2): [(1, 2, 3), (1, 2, 5), (1, 4, 5), (2, 3, 4), (3, 4, 5)]
hexagon C_6 (j ~ j+1): [(1, 4), (2, 5), (3, 6), (1, 3, 5), (2, 4, 6)]
pentagon + pendant p at 1: [(2, 'p'), (5, 'p'), (1, 2, 3), (1, 2, 5), (1, 4, 5), (2, 3, 4), (3, 4, 5)]
pentagon + q adjacent to 1 and 3 (triangle on the edge 1-3): [(2, 'q'), (1, 2, 3), (1, 2, 5), (1, 4, 5), (2, 3, 4), (3, 4, 5), (4, 5, 'q')]
pentagon + false twin t of 4 (t ~ 1, 2): [(1, 2, 3), (1, 2, 5), (1, 4, 5), (1, 5, 't'), (2, 3, 4), (2, 3, 't'), (3, 4, 5), (3, 5, 't')]
pentagon + true twin t of 4 (t ~ 4, 1, 2): [(1, 2, 3), (1, 2, 5), (1, 4, 5), (1, 5, 't'), (2, 3, 4), (2, 3, 't'), (3, 4, 5), (3, 5, 't')]
complement of C_5 + triangle on a Lambda-edge (Lambda: 6 ~ 1, 2): [(1, 2, 3), (1, 2, 5), (1, 4, 5), (2, 3, 4)]
C_4 as Lambda = (a1,b1,a2,b2), Gamma = 2K_2: [('a1', 'b1'), ('a1', 'b2'), ('b1', 'a2'), ('a2', 'b2')]
diamond as Lambda (two triangles along an edge k1k2), Gamma = edge v-w + isolated k1, k2: [('k1',), ('k2',)]
