simulation of pairing at finite momentum in two or more dimensions and so could be the first numerical evidence of a FFLO or other exotic spatially modulated pairing phase, but not the BCS phase. The result is qualitatively consistent with the spatially modulated pairing phase observed in experimental [@ffloexptopt2] and numerical studies of one-dimensional systems [@fflo1d], and with few-particle studies [@multipartsupconfew; @fewpart]. We therefore now proceed to characterise the pairing to understand the correlations in the ground state.

The condensate fraction exhibits the six-fold rotational symmetry of the underlying momentum space lattice, in agreement with low temperature studies of spin-imbalanced pairing [@fflorevision1; @fflorevision2] that predicts an increase in the number of pairing momenta, ${\mathbf{q}}$, in the ground state. However, a key characteristic of the DMC results in [Fig. \[2\_1tri\]]{} is that they show statistically significant pairing at several momenta, $q<4G$, that are not at the optimal magnitude predicted by FFLO theory, and decays radially. This is a significant departure as the family of FFLO theories [@ffloff; @fflolo; @fflorevision1; @fflorevision2] predicts a single optimal magnitude of pairing momenta and zero pairing amplitude otherwise.

Similar results are seen in Fig. \[2\_1sq\] where 25 majority and 9 minority fermions have been placed in 