The phase transitions in a realistic system with triplet pairing, dense neu
tron matter, have been investigated. The spectrum of phases of the P-3(2)-F
-3(2) model, which adequately describes pairing in this system, is analytic
ally constructed with the aid of a separation method for solving BCS gap eq
uations in states of arbitrary angular momentum. In addition to solutions i
nvolving a single value of the magnetic quantum number (and its negative),
there exist ten real multicomponent solutions. Five of the corresponding an
gle-dependent order parameters have nodes, and five do not. In contrast to
the case of superfluid He-3, transitions occur between phases with nodeless
order parameters.