Bi-linear algebraic problem N1t2s12f6+7

N=1, # of fermion fields: 1, # of boson fields: 0
weight(t)=2, weight(s)=12, 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(2)  *f(1)*q9 + Df(2) *f(1) *q11 + Df(1)  *f(2)*q10
    s         2x                x     x            2x

          + Df(1) *f(2) *q12 + Df(2)*f(1)  *q13 + Df(1)*f(2)  *q14 + f(1)  *q15
                 x     x                 2x                 2x           6x

f(2)  := Df(2)  *f(2)*q2 + Df(2) *f(2) *q4 + Df(1)  *f(1)*q1 + Df(1)  *f(1) *q3
    s         2x                x     x           3x                2x     x

          + Df(1) *f(1)  *q5 + Df(2)*f(2)  *q6 + Df(1)*f(1)  *q7 + f(2)  *q8
                 x     2x                2x                3x          6x

SYSTEM & SYMMETRY DO NOT SATISFY MINIMAL REQUIREMENTS!

N=1, # of fermion fields: 1, # of boson fields: 0 weight(t)=2, weight(s)=12, fermion weights={6+7}, boson weights={}

Problem

N=1, # of fermion fields: 1, # of boson fields: 0
weight(t)=2, weight(s)=12, fermion weights={6+7}, boson weights={}