  We study the equivalence classes of the non-resonant subquotients of spaces
of pseudodifferential operators between tensor density modules over the 1|1
superline, as modules of the Lie superalgebra of contact vector fields. There
is a 2-parameter family of subquotients with any given Jordan-Holder
composition series. We give a complete set of even equivalence invariants for
subquotients of all lengths. In the critical case of length 6, the even
equivalence classes within each non-resonant 2-parameter family are specified
by a pencil of conics. In lengths exceeding 6 our invariants are not fully
simplified: in length 7 we expect that there are only finitely many
equivalences other than conjugation, and in lengths exceeding 7 we expect that
conjugation is the only equivalence. We prove this in lengths exceeding 14. We
also analyze certain lacunary subquotients.

Representation Theory