Nice Error Bases

Group G(64,261)

Generators of nice error basis 1:

0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 -E(4) 0 0 0 0
0 0 E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 E(4) 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0

Generators of nice error basis 2:

0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
0 0 -E(4) 0 0 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 E(4) 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 E(4) 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0

Generators of nice error basis 3:

0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 0 -1 0
0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
0 0 -E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 0 0 -E(4) 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1

Generators of nice error basis 4:

0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
0 0 -E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 0 0 -E(4) 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0

Generators of nice error basis 5:

0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
0 0 -E(4) 0 0 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 E(4) 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 E(4) 0
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 0 -1 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 1

Generators of nice error basis 6:

0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 0 -1 0
0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
0 0 -E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 0 0 -E(4) 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1

Generators of nice error basis 7:

0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 1
0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 E(4) 0 0 0 0
0 0 -E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 0 0 -E(4) 0
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0

Generators of nice error basis 8:

0 E(4) 0 0 0 0 0 0
-E(4) 0 0 0 0 0 0 0
0 0 0 -E(4) 0 0 0 0
0 0 E(4) 0 0 0 0 0
0 0 0 0 0 E(4) 0 0
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 0 0 -E(4)
0 0 0 0 0 0 E(4) 0
1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 -1 0 0 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 -1
0 0 0 0 0 0 -1 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 0 0 0 0 E(4) 0
0 0 0 0 0 0 0 E(4)
0 0 0 0 -E(4) 0 0 0
0 0 0 0 0 -E(4) 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0

The Catalogue of Nice Error Bases is a joint project of Andreas Klappenecker and Martin Rötteler.
[Catalogue]