  We present a symplectic rearrangement of the effective four-dimensional
non-geometric scalar potential resulting from type IIB superstring
compactification on Calabi Yau orientifolds. The strategy has two main steps.
In the first step, we rewrite the four dimensional scalar potential utilizing
some interesting flux combinations which we call new generalized flux orbits.
After invoking a couple of non-trivial symplectic relations, in the second
step, we further rearrange all the pieces of scalar potential into a completely
`symplectic-formulation' which involves only the symplectic ingredients (such
as period matrix etc.) without the need of knowing Calabi Yau metric. Moreover,
the scalar potential under consideration is induced by a generic tree level
K\"{a}hler potential and (non-geometric) flux superpotential for arbitrary
numbers of complex structure moduli, K\"ahler moduli and odd-axions. Finally,
we exemplify our symplectic formulation for the two well known toroidal
examples based on type IIB superstring compactification on ${\mathbb
T}^6/{({\mathbb Z}_2 \times {\mathbb Z}_2)}$-orientifold and ${\mathbb
T}^6/{{\mathbb Z}_4}$-orientifold.
