The format for the *.txt files containing dimensions of spaces of level 1 automorphic forms for O(n) is
[p_1,p_2,...,p_r] : DIM
where r is the integer such that n=2r or n=2r+1, p=[p_1,p_2,...,p_r] is an n-positive n-permissible integer partition (see App. A), W (resp. W') is the irreducible representation of O(R^n) associated with p (resp. ass(p)), and DIM is:
(a) the integer dim M_W(O(n)) if n is even and p_r>0,
(b) the two integers dim M_W(O(n)) dim M_W'(O(n)) if n is even and p_r =0,
(c) the integer dim M_W(O(n)) if n is odd and |p| is even,
(d) the integer dim M_W'(O(n)) if n is odd and |p| is odd.
In cases (a), (c) and (d), DIM is also dim M_U(SO(n)) where U is the irreducible representation of SO(R^n) with highest weight sum_i p_i epsilon_i.
Range: all p with p_1+r <= 15 for n odd, and p_1+r <= 16 for n even.
Only nonzero DIM are printed.