Two series of non-algebraic tangles: 5
*
, 8
1
*
, 11
1
*
, 14
1
*
, 17
1
*
,... with n=3k+2 crossings,
and 7
*
, 9
1
*
, 11
2
*
, 13
1
*
,... with n=2k+5 crossings.