N=1, # of fermion fields: 0, # of boson fields: 1
weight(t)=1, weight(s)=10, fermion weights={}, boson weights={1}
Problem | Unknowns |
Inequalities | Equations |
Computing time |
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Problem
Find equations
2
b := b *p1
t
with symmetries
11 3
b := b *q18 + Db *Db*b*q7 + Db *Db*b *q6 + Db *Db*b *q5 + Db *Db *b*q4
s 3x 2x 2x x 2x x
5 2 2
+ Db *Db*b *q3 + Db *Db*b *q1 + Db *Db*b *b *q2 + b *q19 + b *b *q8
x x 2x x x 5x 4x
4 2 6 2
+ b *b *q10 + b *b *b*q9 + b *b*q13 + b *b *q14 + b *b *q11
3x 3x x 2x 2x 2x x
3 3 2 2 5 8
+ b *b *b *q12 + b *b *q15 + b *b *q16 + b *b *q17
2x x x x x
Unknowns
All solutions for the following 20 unknowns have to be determined:
p1,q1,q2,q3,q4,q5,q6,q7,q8,q9,q10,q11,q12,q13,q14,q15,q16,q17,q18,q19
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.
{q7,q6,q5,q4,q3,q2,q1}
{p1}
Equations
All comma separated 21 expressions involving 34 terms have to vanish.
q11,
q8,
q4,
q7,
q10,
q6,
q14,
q3,
q19,
q17,
q18,
q13 + 2*q8,
8*(q8 + 3/8*q9),
q1 + 2*q5,
q12 + 3*q15,
6*(q10 + 5/6*q12),
3*(q2 + 2/3*q6),
2*(q14 + 7/2*q16),
2*(q11 + q13 + 3/2*q9),
2*(q1 - 1/2*q4 + 3/2*q7),
q4 + 2*q5 + 3*q7
Computing time
On a Pentium 4 PC with 1.7GHz running REDUCE 3.7 with 120 MB RAM
under Linux it took 1 sec.