Bi-linear algebraic problem N1t11s12f3

N=1, # of fermion fields: 1, # of boson fields: 0
weight(t)=11, weight(s)=12, fermion weights={3}, boson weights={}

Problem

Find equations


f  := 0
 t

with symmetries

                                                                 2
f  := Df  *f*q4 + Df  *f *q5 + Df  *Df*f*q3 + Df  *f  *q8 + (Df ) *f*q2
 s      4x          3x  x        2x             2x  2x         x

                                         3            2
       + Df *Df*f *q6 + Df *f  *q9 + (Df) *f*q1 + (Df) *f  *q7 + Df*f  *q10
           x     x        x  3x                          2x          4x

       + f  *q12 + f  *f *f*q11
          6x        2x  x

SYSTEM & SYMMETRY DO NOT SATISFY MINIMAL REQUIREMENTS!

N=1, # of fermion fields: 1, # of boson fields: 0 weight(t)=11, weight(s)=12, fermion weights={3}, boson weights={}

Problem

N=1, # of fermion fields: 1, # of boson fields: 0
weight(t)=11, weight(s)=12, fermion weights={3}, boson weights={}