194 Proceedings of the Royal Society of Edinburgh. [Sess. 
The last but one is not a new invariant; hence, out of we have 
the two invariants 
’ lE • 
We proceed similarly with the others: the results need only be stated. 
Out of iulA), the new invariants are 
the invariant 
oR b » 
is a numerical multiple of A . J-2 , and therefore is not new ; and the 
invariant 
is a numerical multiple of A^, and therefore is not new. 
Out of l^(u + iulA), the new invariants are 
of 5 "" f 5 ’ 
2f5 = D^f5; 
the invariant 
3b = D^b 
is a numerical multiple of AI3 , and therefore is not new; the invariant 
4l5-D^l5 
is a numerical multiple of A^I^ , and therefore is not new ; and 
= 0 . 
For purposes of enumeration, I retain Ig instead of □. Out of 
l6(t6 + /xA), the new invariants are 
ofe ^ fe 5 
A -Dig, 
■2b-Dng, 
Tliere is an invariant 
3f6-D3Jg, 
,L = D 4 L 
it is a linear combination A . 2b and A^Ig , so that it is not new. There is 
an invariant 
which (after the last result) is a linear combination of AD(2l4) and A'^DIo ; 
that is, it is a numerical multiple of A^ . ^ Ig . The invariant 
is a numerical multiple of A^. 
ob = D«Ig 
