Bi-linear algebraic problem N1t2s9f6+7

N=1, # of fermion fields: 1, # of boson fields: 0
weight(t)=2, weight(s)=9, fermion weights={6+7}, boson weights={}

Problem

Find equations


f(1)  := p2*f(1)
    t           x

f(2)  := p1*f(2)
    t           x

with symmetries

f(1)  := Df(1) *f(1)*q6 + Df(2)*f(2)*q7 + Df(1)*f(1) *q8 + f(2)  *q9
    s         x                                     x          4x

f(2)  := Df(2) *f(1)*q1 + Df(1) *f(2)*q2 + Df(2)*f(1) *q3 + Df(1)*f(2) *q4
    s         x                x                     x                x

          + f(1)  *q5
                5x

SYSTEM & SYMMETRY DO NOT SATISFY MINIMAL REQUIREMENTS!

N=1, # of fermion fields: 1, # of boson fields: 0 weight(t)=2, weight(s)=9, fermion weights={6+7}, boson weights={}

Problem

N=1, # of fermion fields: 1, # of boson fields: 0
weight(t)=2, weight(s)=9, fermion weights={6+7}, boson weights={}