Bi-linear algebraic problem N1t1s9f6+7

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

Problem

Find equations


f(1)  := p2*f(2)
    t

f(2)  := p1*f(1)
    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

Unknowns

All solutions for the following 11 unknowns have to be determined:

p1,p2,q1,q2,q3,q4,q5,q6,q7,q8,q9

Inequalities

Each of the following lists represents one inequality which states that not all unknowns in this list may vanish. These inequalities filter out solutions which are trivial for the application.

{q8,q7,q6,q4,q3,q2,q1}
{q5,q4,q3,q2,q1}
{q9,q8,q7,q6}
{p1}
{p2}

Equations

All comma separated 8 expressions involving 22 terms have to vanish.

q4 - q8,
q1 - q6,
q2 + q3 - q6 - q8,
p1*q9 - p2*q5,
p1*q7 - p2*q3 - p2*q4,
p1*q7 - p2*q1 - p2*q2,
p1*q7 - p2*q3 + p2*q8,
p1*q7 - p2*q2 + p2*q6

Computing time