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FQHESphereFermionsWithSpinThreeBodyGeneric handles SU(2) symmetric three-body interactions on the sphere geometry. A typical pseudo-potential file should look like

   ThreebodyPseudopotentials32 = 0 0 0 1
   ThreebodyPseudopotentials12 = 0 1 1

where ThreebodyPseudopotentials32 gives the pseudo-potential in the spin 3/2 sector (starting from relative angular momentum 0) and ThreebodyPseudopotentials12 gives the pseudo-potential in the spin 1/2 sector. For example, this pseudo-potential file reproduces the model interaction for the Spin-Charge separated state of arXiv:1107.2232

$PATHTODIAGHAM/build/FQHE/src/Programs/FQHEOnSphere/FQHESphereFermionsWithSpinThreeBodyGeneric -p 8 -l 9 --use-lapack --interaction-name spinchargeseparated --interaction-file pseudopotentials_spinchargeseparated_fermions.dat --full-diag 4000