(i) pants with boundary theta(a1), theta(a2), theta(a1 a2):
  twist word: e
  theta(a1) = a   phi_0 -> 120453786
  theta(b1) = b   phi_0 -> 063174285
  theta(a2) = c   phi_0 -> 120453786
  theta(b2) = d   phi_0 -> 138570624
  orbits of <phi_0(theta(a1)), phi_0(theta(a2))> on 9 points: 3
(ii) pants with boundary theta(a1), theta(a1), theta([a1,b1]):
  twist word: B1.B1
  theta(a1) = abb   phi_0 -> 102768435
  theta(b1) = b   phi_0 -> 063174285
  theta(a2) = c   phi_0 -> 120453786
  theta(b2) = d   phi_0 -> 138570624
  orbits of <phi_0(theta(a1)), phi_0(theta(b1 a1 b1^-1))> on 9 points: 2
for phi_0 itself: orbits of <x,uxu^-1,v,wvw^-1>: 1 ; of <x,v>: 3 ; of <x,uxu^-1>: 1
