# Structure of zero-divisors of the 64-ions
# that are sums or differences of two units.
#
# In the 64 x 64 matrix below
# a one corresponds to a pair of indices A and B
# such that (A+B) is a zero-divisor.
# For each such pair all of (+-A +-B) are zero divisors.
# If (A + B) is a zero-divisor then trivially also
# (B + A) is a zero-divisor, hence the symmetry.
# The upper left 32 x 32 square gives the structure for
# the 32-ions, the upper left 16 x 16 square for the sedenions.
# The upper left 8x8 square contains no ones:
# there are no zero-divisors for the octonions,
# quaternions, complex, and real numbers.
#
#.
# Generated by Joerg Arndt, 2009-September-14
#


................................................................
..........111111..11111111111111..111111111111111111111111111111
.........1.11111.1.1111111111111.1.11111111111111111111111111111
.........11.1111.11.111111111111.11.1111111111111111111111111111
.........111.111.111.11111111111.111.111111111111111111111111111
.........1111.11.1111.1111111111.1111.11111111111111111111111111
.........11111.1.11111.111111111.11111.1111111111111111111111111
.........111111..111111.11111111.111111.111111111111111111111111
.................1111111.1111111.1111111.11111111111111111111111
..111111.........11111111.111111.11111111.1111111111111111111111
.1.11111.........111111111.11111.111111111.111111111111111111111
.11.1111.........1111111111.1111.1111111111.11111111111111111111
.111.111.........11111111111.111.11111111111.1111111111111111111
.1111.11.........111111111111.11.111111111111.111111111111111111
.11111.1.........1111111111111.1.1111111111111.11111111111111111
.111111..........11111111111111..11111111111111.1111111111111111
.................................111111111111111.111111111111111
..11111111111111..........111111.1111111111111111.11111111111111
.1.1111111111111.........1.11111.11111111111111111.1111111111111
.11.111111111111.........11.1111.111111111111111111.111111111111
.111.11111111111.........111.111.1111111111111111111.11111111111
.1111.1111111111.........1111.11.11111111111111111111.1111111111
.11111.111111111.........11111.1.111111111111111111111.111111111
.111111.11111111.........111111..1111111111111111111111.11111111
.1111111.1111111.................11111111111111111111111.1111111
.11111111.111111..111111.........111111111111111111111111.111111
.111111111.11111.1.11111.........1111111111111111111111111.11111
.1111111111.1111.11.1111.........11111111111111111111111111.1111
.11111111111.111.111.111.........111111111111111111111111111.111
.111111111111.11.1111.11.........1111111111111111111111111111.11
.1111111111111.1.11111.1.........11111111111111111111111111111.1
.11111111111111..111111..........111111111111111111111111111111.
................................................................
..111111111111111111111111111111..........111111..11111111111111
.1.11111111111111111111111111111.........1.11111.1.1111111111111
.11.1111111111111111111111111111.........11.1111.11.111111111111
.111.111111111111111111111111111.........111.111.111.11111111111
.1111.11111111111111111111111111.........1111.11.1111.1111111111
.11111.1111111111111111111111111.........11111.1.11111.111111111
.111111.111111111111111111111111.........111111..111111.11111111
.1111111.11111111111111111111111.................1111111.1111111
.11111111.1111111111111111111111..111111.........11111111.111111
.111111111.111111111111111111111.1.11111.........111111111.11111
.1111111111.11111111111111111111.11.1111.........1111111111.1111
.11111111111.1111111111111111111.111.111.........11111111111.111
.111111111111.111111111111111111.1111.11.........111111111111.11
.1111111111111.11111111111111111.11111.1.........1111111111111.1
.11111111111111.1111111111111111.111111..........11111111111111.
.111111111111111.111111111111111................................
.1111111111111111.11111111111111..11111111111111..........111111
.11111111111111111.1111111111111.1.1111111111111.........1.11111
.111111111111111111.111111111111.11.111111111111.........11.1111
.1111111111111111111.11111111111.111.11111111111.........111.111
.11111111111111111111.1111111111.1111.1111111111.........1111.11
.111111111111111111111.111111111.11111.111111111.........11111.1
.1111111111111111111111.11111111.111111.11111111.........111111.
.11111111111111111111111.1111111.1111111.1111111................
.111111111111111111111111.111111.11111111.111111..111111........
.1111111111111111111111111.11111.111111111.11111.1.11111........
.11111111111111111111111111.1111.1111111111.1111.11.1111........
.111111111111111111111111111.111.11111111111.111.111.111........
.1111111111111111111111111111.11.111111111111.11.1111.11........
.11111111111111111111111111111.1.1111111111111.1.11111.1........
.111111111111111111111111111111..11111111111111..111111.........