<s>
In	O
mathematics	O
,	O
Brandt	B-Algorithm
matrices	I-Algorithm
are	O
matrices	B-Architecture
,	O
introduced	O
by	O
,	O
that	O
are	O
related	O
to	O
the	O
number	O
of	O
ideals	O
of	O
given	O
norm	O
in	O
an	O
ideal	O
class	O
of	O
a	O
definite	O
quaternion	O
algebra	O
over	O
the	O
rationals	O
,	O
and	O
that	O
give	O
a	O
representation	O
of	O
the	O
Hecke	O
algebra	O
.	O
</s>
<s>
calculated	O
the	O
traces	O
of	O
the	O
Brandt	B-Algorithm
matrices	I-Algorithm
.	O
</s>
<s>
The	O
Brandt	B-Algorithm
matrix	I-Algorithm
B(m )	O
is	O
the	O
H×H	O
matrix	O
with	O
entries	O
Bij	O
.	O
</s>
<s>
Up	O
to	O
conjugation	O
by	O
a	O
permutation	B-Algorithm
matrix	I-Algorithm
it	O
is	O
independent	O
of	O
the	O
choice	O
of	O
representatives	O
Ij	O
;	O
it	O
is	O
dependent	O
only	O
on	O
the	O
level	O
of	O
the	O
order	O
O	O
.	O
</s>
