Root subsystems of B^{1}

so(17), type $B^{1}_8$
Structure constants and notation.
Root subalgebras / root subsystems.
sl(2)-subalgebras.

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g: B^{1}_8. There are 185 table entries (= 183 larger than the Cartan subalgebra + the Cartan subalgebra + the full subalgebra).

Type k_{ss}: B^{1}_8 (Full subalgebra) Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_8 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_7+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_6+2A^{1}_1 Type C(k_{ss})_{ss}: 0
Type k_{ss}: D^{1}_6+B^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_6+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_5+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_5+B^{1}_3 Type C(k_{ss})_{ss}: 0
Type k_{ss}: D^{1}_5+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_5+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_4+D^{1}_4 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_4+4A^{1}_1 Type C(k_{ss})_{ss}: 0
Type k_{ss}: 2D^{1}_4 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+A^{1}_3+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+B^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+4A^{1}_1 Type C(k_{ss})_{ss}: 0
Type k_{ss}: B^{1}_3+A^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 2A^{1}_3+B^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 2A^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+A^{2}_1+4A^{1}_1 Type C(k_{ss})_{ss}: 0
Type k_{ss}: B^{1}_2+6A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 8A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_7 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_7 Type C(k_{ss})_{ss}: A^{2}_1
Type k_{ss}: A^{1}_7 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_6+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: D^{1}_6+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_6+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: A^{1}_6+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_5+A^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_5+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_5+B^{1}_2 Type C(k_{ss})_{ss}: 0
Type k_{ss}: D^{1}_5+A^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_5+A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: D^{1}_5+2A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: A^{1}_5+B^{1}_2 Type C(k_{ss})_{ss}: 0
Type k_{ss}: A^{1}_5+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_4+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_4+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_4+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: D^{1}_4+B^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+A^{1}_3 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: D^{1}_4+B^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: D^{1}_4+A^{1}_2+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: D^{1}_4+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_4+B^{1}_3 Type C(k_{ss})_{ss}: 0
Type k_{ss}: A^{1}_4+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_4+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_3+A^{1}_3+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: B^{1}_3+A^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0
Type k_{ss}: B^{1}_3+4A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 2A^{1}_3+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 2A^{1}_3+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 2A^{1}_3+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: A^{1}_3+B^{1}_2+A^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+B^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+B^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+A^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0
Type k_{ss}: A^{1}_3+A^{2}_1+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_3+4A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: A^{1}_3+4A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_2+5A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: A^{1}_2+A^{2}_1+4A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{2}_1+6A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 7A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: B^{1}_6 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: D^{1}_6 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: A^{1}_6 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: B^{1}_5+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: D^{1}_5+A^{2}_1 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: D^{1}_5+A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1+A^{1}_1	Type k_{ss}: A^{1}_5+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_5+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: B^{1}_4+A^{1}_2 Type C(k_{ss})_{ss}: 0
Type k_{ss}: B^{1}_4+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: B^{1}_4+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: D^{1}_4+B^{1}_2 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: D^{1}_4+A^{1}_2 Type C(k_{ss})_{ss}: A^{2}_1
Type k_{ss}: D^{1}_4+A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: D^{1}_4+2A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: D^{1}_4+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: A^{1}_4+B^{1}_2 Type C(k_{ss})_{ss}: 0
Type k_{ss}: A^{1}_4+A^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_4+A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_4+2A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: B^{1}_3+A^{1}_3 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: B^{1}_3+A^{1}_3 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_3+A^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: B^{1}_3+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: 2A^{1}_3 Type C(k_{ss})_{ss}: 0
Type k_{ss}: 2A^{1}_3 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: 2A^{1}_3 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: A^{1}_3+B^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_3+B^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: A^{1}_3+A^{1}_2+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+A^{1}_2+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+A^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_3+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: A^{1}_3+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_3+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: A^{1}_3+3A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1+A^{1}_1	Type k_{ss}: A^{1}_3+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: B^{1}_2+2A^{1}_2 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_2+A^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: B^{1}_2+4A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: B^{1}_2+4A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: 2A^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: A^{1}_2+A^{2}_1+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_2+4A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1	Type k_{ss}: A^{2}_1+5A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: 6A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: 6A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: B^{1}_5 Type C(k_{ss})_{ss}: A^{1}_3	Type k_{ss}: D^{1}_5 Type C(k_{ss})_{ss}: B^{1}_3
Type k_{ss}: A^{1}_5 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: B^{1}_4+A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1	Type k_{ss}: D^{1}_4+A^{2}_1 Type C(k_{ss})_{ss}: A^{1}_3	Type k_{ss}: D^{1}_4+A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2+A^{1}_1
Type k_{ss}: A^{1}_4+A^{2}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: A^{1}_4+A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1+A^{1}_1	Type k_{ss}: B^{1}_3+A^{1}_2 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: B^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: B^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_3	Type k_{ss}: A^{1}_3+B^{1}_2 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: A^{1}_3+B^{1}_2 Type C(k_{ss})_{ss}: A^{1}_3	Type k_{ss}: A^{1}_3+A^{1}_2 Type C(k_{ss})_{ss}: A^{2}_1
Type k_{ss}: A^{1}_3+A^{1}_2 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: A^{1}_3+A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1	Type k_{ss}: A^{1}_3+A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1	Type k_{ss}: A^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1+2A^{1}_1
Type k_{ss}: A^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: A^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_3	Type k_{ss}: A^{1}_3+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: B^{1}_2+A^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: B^{1}_2+3A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1	Type k_{ss}: B^{1}_2+3A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1	Type k_{ss}: 2A^{1}_2+A^{2}_1 Type C(k_{ss})_{ss}: 0	Type k_{ss}: 2A^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_1
Type k_{ss}: A^{1}_2+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: A^{1}_2+A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1	Type k_{ss}: A^{1}_2+3A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1+A^{1}_1	Type k_{ss}: A^{2}_1+4A^{1}_1 Type C(k_{ss})_{ss}: 2A^{1}_1
Type k_{ss}: A^{2}_1+4A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_3	Type k_{ss}: 5A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1	Type k_{ss}: 5A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2+A^{1}_1	Type k_{ss}: B^{1}_4 Type C(k_{ss})_{ss}: D^{1}_4
Type k_{ss}: D^{1}_4 Type C(k_{ss})_{ss}: B^{1}_4	Type k_{ss}: A^{1}_4 Type C(k_{ss})_{ss}: B^{1}_3	Type k_{ss}: B^{1}_3+A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_3+A^{1}_1	Type k_{ss}: A^{1}_3+A^{2}_1 Type C(k_{ss})_{ss}: D^{1}_4
Type k_{ss}: A^{1}_3+A^{2}_1 Type C(k_{ss})_{ss}: A^{1}_3	Type k_{ss}: A^{1}_3+A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_3+A^{1}_1	Type k_{ss}: A^{1}_3+A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2+A^{1}_1	Type k_{ss}: B^{1}_2+A^{1}_2 Type C(k_{ss})_{ss}: A^{1}_3
Type k_{ss}: B^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: D^{1}_4	Type k_{ss}: B^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: 4A^{1}_1	Type k_{ss}: 2A^{1}_2 Type C(k_{ss})_{ss}: B^{1}_2	Type k_{ss}: A^{1}_2+A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1
Type k_{ss}: A^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: A^{2}_1+2A^{1}_1	Type k_{ss}: A^{1}_2+2A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_3	Type k_{ss}: A^{2}_1+3A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_3+A^{1}_1	Type k_{ss}: A^{2}_1+3A^{1}_1 Type C(k_{ss})_{ss}: 3A^{1}_1
Type k_{ss}: 4A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2+2A^{1}_1	Type k_{ss}: 4A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_4	Type k_{ss}: 4A^{1}_1 Type C(k_{ss})_{ss}: 4A^{1}_1	Type k_{ss}: B^{1}_3 Type C(k_{ss})_{ss}: D^{1}_5
Type k_{ss}: A^{1}_3 Type C(k_{ss})_{ss}: B^{1}_5	Type k_{ss}: A^{1}_3 Type C(k_{ss})_{ss}: B^{1}_4	Type k_{ss}: B^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: D^{1}_4+A^{1}_1	Type k_{ss}: A^{1}_2+A^{2}_1 Type C(k_{ss})_{ss}: D^{1}_4
Type k_{ss}: A^{1}_2+A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_3+A^{1}_1	Type k_{ss}: A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: A^{1}_3+2A^{1}_1	Type k_{ss}: A^{2}_1+2A^{1}_1 Type C(k_{ss})_{ss}: D^{1}_5	Type k_{ss}: 3A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_4+A^{1}_1
Type k_{ss}: 3A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_2+3A^{1}_1	Type k_{ss}: B^{1}_2 Type C(k_{ss})_{ss}: D^{1}_6	Type k_{ss}: A^{1}_2 Type C(k_{ss})_{ss}: B^{1}_5	Type k_{ss}: A^{2}_1+A^{1}_1 Type C(k_{ss})_{ss}: D^{1}_5+A^{1}_1
Type k_{ss}: 2A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_6	Type k_{ss}: 2A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_4+2A^{1}_1	Type k_{ss}: A^{2}_1 Type C(k_{ss})_{ss}: D^{1}_7	Type k_{ss}: A^{1}_1 Type C(k_{ss})_{ss}: B^{1}_6+A^{1}_1
Type k_{ss}: 0 (Cartan subalgebra) Type C(k_{ss})_{ss}: B^{1}_8

There are 67 parabolic, 75 pseudo-parabolic but not parabolic and 43 non pseudo-parabolic root subsystems.

The roots needed to generate the root subsystems are listed below.
["parabolic","0", []],
["parabolic","A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2]]],
["parabolic","A^{2}_1", [[1, 1, 1, 1, 1, 1, 1, 1]]],
["parabolic","2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, 0, 1, 2, 2, 2, 2, 2]]],
["parabolic","A^{2}_1+A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2]]],
["parabolic","A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0]]],
["parabolic","B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1]]],
["parabolic","3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, 0, 1, 2, 2, 2]]],
["parabolic","A^{2}_1+2A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 0, 0, 1, 2, 2, 2, 2]]],
["parabolic","A^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2]]],
["parabolic","A^{1}_2+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1]]],
["parabolic","B^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2]]],
["parabolic","A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0]]],
["parabolic","B^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1]]],
["parabolic","4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","A^{2}_1+3A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1, 2, 2]]],
["parabolic","A^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1, 2, 2]]],
["parabolic","A^{1}_2+A^{2}_1+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2]]],
["parabolic","2A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0]]],
["parabolic","B^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, 0, 1, 2, 2, 2]]],
["parabolic","B^{1}_2+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, -1, 0, 0, 0, 0]]],
["parabolic","A^{1}_3+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2]]],
["parabolic","A^{1}_3+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 1]]],
["parabolic","B^{1}_3+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2]]],
["parabolic","A^{1}_4", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0]]],
["parabolic","B^{1}_4", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1]]],
["parabolic","A^{1}_2+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","2A^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","2A^{1}_2+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1]]],
["parabolic","B^{1}_2+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","B^{1}_2+A^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2]]],
["parabolic","A^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","A^{1}_3+A^{2}_1+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 2, 2]]],
["parabolic","A^{1}_3+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0]]],
["parabolic","A^{1}_3+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, -1, -1]]],
["parabolic","B^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1, 2, 2]]],
["parabolic","B^{1}_3+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0]]],
["parabolic","A^{1}_4+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2, 2]]],
["parabolic","A^{1}_4+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 1, 1]]],
["parabolic","B^{1}_4+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2]]],
["parabolic","A^{1}_5", [[1, 2, 2, 2, 2, 2, 2, 2], [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]]],
["parabolic","B^{1}_5", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1]]],
["parabolic","B^{1}_2+2A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0]]],
["parabolic","A^{1}_3+A^{1}_2+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1]]],
["parabolic","A^{1}_3+B^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","2A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0]]],
["parabolic","B^{1}_3+A^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","B^{1}_3+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0]]],
["parabolic","A^{1}_4+A^{2}_1+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","A^{1}_4+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0]]],
["parabolic","A^{1}_4+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, -1]]],
["parabolic","B^{1}_4+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","B^{1}_4+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0]]],
["parabolic","A^{1}_5+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2]]],
["parabolic","A^{1}_5+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 1]]],
["parabolic","B^{1}_5+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2]]],
["parabolic","A^{1}_6", [[1, 2, 2, 2, 2, 2, 2, 2], [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]]],
["parabolic","B^{1}_6", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1]]],
["parabolic","A^{1}_4+B^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, -1]]],
["parabolic","B^{1}_4+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0]]],
["parabolic","A^{1}_5+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2], [0, 0, 0, 0, 0, 0, 0, -1]]],
["parabolic","B^{1}_5+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0]]],
["parabolic","A^{1}_6+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1]]],
["parabolic","B^{1}_6+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1], [0, 0, 0, 0, 0, 0, 1, 2]]],
["parabolic","A^{1}_7", [[1, 2, 2, 2, 2, 2, 2, 2], [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]]],
["parabolic","B^{1}_7", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1]]],
["parabolic","B^{1}_8", [[1, 2, 2, 2, 2, 2, 2, 2], [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]]],
["pseudoParabolicNonParabolic","2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2]]],
["pseudoParabolicNonParabolic","A^{2}_1+2A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, 0, 1, 2, 2, 2]]],
["pseudoParabolicNonParabolic","A^{2}_1+3A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","B^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1]]],
["pseudoParabolicNonParabolic","D^{1}_4", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2]]],
["pseudoParabolicNonParabolic","5A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","A^{2}_1+4A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_2+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_2+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["pseudoParabolicNonParabolic","B^{1}_2+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{2}_1+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, -1, -1, -1]]],
["pseudoParabolicNonParabolic","B^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_4+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2]]],
["pseudoParabolicNonParabolic","D^{1}_4+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 1, 1, 1]]],
["pseudoParabolicNonParabolic","D^{1}_5", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2]]],
["pseudoParabolicNonParabolic","A^{1}_2+A^{2}_1+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","2A^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["pseudoParabolicNonParabolic","B^{1}_2+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","B^{1}_2+A^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","A^{1}_3+A^{1}_2+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1]]],
["pseudoParabolicNonParabolic","A^{1}_3+B^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","2A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0]]],
["pseudoParabolicNonParabolic","B^{1}_3+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","B^{1}_3+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_4+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_4+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","D^{1}_4+A^{2}_1+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","D^{1}_4+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_4+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, -1, -1]]],
["pseudoParabolicNonParabolic","B^{1}_4+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_5+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 2, 2]]],
["pseudoParabolicNonParabolic","D^{1}_5+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 1, 1]]],
["pseudoParabolicNonParabolic","D^{1}_6", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2]]],
["pseudoParabolicNonParabolic","A^{1}_3+B^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["pseudoParabolicNonParabolic","A^{1}_3+B^{1}_2+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0]]],
["pseudoParabolicNonParabolic","2A^{1}_3+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1]]],
["pseudoParabolicNonParabolic","B^{1}_3+A^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["pseudoParabolicNonParabolic","B^{1}_3+A^{1}_3+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","A^{1}_4+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["pseudoParabolicNonParabolic","A^{1}_4+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_4+A^{1}_2+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1]]],
["pseudoParabolicNonParabolic","D^{1}_4+B^{1}_2+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","D^{1}_4+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0]]],
["pseudoParabolicNonParabolic","D^{1}_4+B^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, -1]]],
["pseudoParabolicNonParabolic","B^{1}_4+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","B^{1}_4+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0]]],
["pseudoParabolicNonParabolic","A^{1}_5+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["pseudoParabolicNonParabolic","D^{1}_5+A^{2}_1+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","D^{1}_5+A^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0]]],
["pseudoParabolicNonParabolic","D^{1}_5+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, -1]]],
["pseudoParabolicNonParabolic","B^{1}_5+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_6+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["pseudoParabolicNonParabolic","D^{1}_6+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2], [0, 0, 0, 0, 0, 0, 1, 1]]],
["pseudoParabolicNonParabolic","D^{1}_7", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2]]],
["pseudoParabolicNonParabolic","B^{1}_4+D^{1}_4", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, -1, -2]]],
["pseudoParabolicNonParabolic","D^{1}_5+B^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, -1]]],
["pseudoParabolicNonParabolic","B^{1}_5+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0, 0]]],
["pseudoParabolicNonParabolic","D^{1}_6+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 0, -1]]],
["pseudoParabolicNonParabolic","B^{1}_6+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -1], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["pseudoParabolicNonParabolic","D^{1}_7+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 1]]],
["pseudoParabolicNonParabolic","D^{1}_8", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2]]],
["nonPseudoParabolic","4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0]]],
["nonPseudoParabolic","5A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2]]],
["nonPseudoParabolic","A^{2}_1+4A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0]]],
["nonPseudoParabolic","A^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0]]],
["nonPseudoParabolic","6A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, 0, 1, 2]]],
["nonPseudoParabolic","6A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["nonPseudoParabolic","A^{2}_1+5A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2]]],
["nonPseudoParabolic","A^{1}_2+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","B^{1}_2+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["nonPseudoParabolic","A^{1}_3+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2]]],
["nonPseudoParabolic","A^{1}_3+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["nonPseudoParabolic","2A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0]]],
["nonPseudoParabolic","D^{1}_4+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0]]],
["nonPseudoParabolic","7A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["nonPseudoParabolic","A^{2}_1+6A^{1}_1", [[1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","A^{1}_2+A^{2}_1+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","B^{1}_2+5A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["nonPseudoParabolic","A^{1}_3+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","A^{1}_3+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","A^{1}_3+A^{2}_1+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["nonPseudoParabolic","A^{1}_3+A^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","A^{1}_3+B^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","2A^{1}_3+A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["nonPseudoParabolic","2A^{1}_3+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1]]],
["nonPseudoParabolic","B^{1}_3+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","D^{1}_4+3A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2]]],
["nonPseudoParabolic","D^{1}_4+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","D^{1}_4+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0]]],
["nonPseudoParabolic","D^{1}_5+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 1, 0, 0]]],
["nonPseudoParabolic","8A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","B^{1}_2+6A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 2, 2, 2, 2, 2], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","A^{1}_3+A^{2}_1+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","2A^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","2A^{1}_3+B^{1}_2", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 0, -1]]],
["nonPseudoParabolic","B^{1}_3+A^{1}_3+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 2, 2, 2, 2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","D^{1}_4+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","D^{1}_4+B^{1}_2+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","D^{1}_4+A^{1}_3+A^{2}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1]]],
["nonPseudoParabolic","2D^{1}_4", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, -2, -2, -2, -2, -2], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, -1, -2]]],
["nonPseudoParabolic","B^{1}_4+4A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 2, 2, 2], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","D^{1}_5+A^{2}_1+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]],
["nonPseudoParabolic","D^{1}_5+A^{1}_3", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2, -2], [0, 0, 0, 0, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0, 0]]],
["nonPseudoParabolic","D^{1}_6+2A^{1}_1", [[1, 2, 2, 2, 2, 2, 2, 2], [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, -1, -2, -2, -2], [0, 0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 1, 0]]]

LaTeX table with root subalgebra details.
\documentclass{article}
\usepackage{longtable, amssymb, lscape}
\begin{document}
Lie algebra type: $B^{1}_8$. There are 185 table entries (= 183 larger than the Cartan subalgebra + the Cartan subalgebra + the full subalgebra).
Let $\mathfrak g$ stand for the type of the regular subalgebra and $C(\mathfrak g)$ for the type of the centralizer. Let $r$ stand for the rank of $\mathfrak g$, let $r_c$ stand for the rank of the semisimple part of the centralizer, let $p$ stand for the number of positive roots of $\mathfrak g$, let $q$ stand for the number of positive roots of the centralizer, and let $m$ stand for the number of $A_1$ components (of all root lengths) of $\mathfrak g$. \begin{longtable}{cccccccc}
$\mathfrak g$ & $C(\mathfrak g)$& $p$ & $q$& $m$& $r$ & $c_r$ \\\endhead
$B^{1}_8$&$0$&$64$&$0$&$0$&$8$&$0$&\\
$D^{1}_8$&$0$&$56$&$0$&$0$&$8$&$0$&\\
$D^{1}_7+A^{2}_1$&$0$&$43$&$0$&$1$&$8$&$0$&\\
$B^{1}_6+2A^{1}_1$&$0$&$38$&$0$&$2$&$8$&$0$&\\
$D^{1}_6+B^{1}_2$&$0$&$34$&$0$&$0$&$8$&$0$&\\
$D^{1}_6+2A^{1}_1$&$0$&$32$&$0$&$2$&$8$&$0$&\\
$B^{1}_5+A^{1}_3$&$0$&$31$&$0$&$0$&$8$&$0$&\\
$D^{1}_5+B^{1}_3$&$0$&$29$&$0$&$0$&$8$&$0$&\\
$D^{1}_5+A^{1}_3$&$0$&$26$&$0$&$0$&$8$&$0$&\\
$D^{1}_5+A^{2}_1+2A^{1}_1$&$0$&$23$&$0$&$3$&$8$&$0$&\\
$B^{1}_4+D^{1}_4$&$0$&$28$&$0$&$0$&$8$&$0$&\\
$B^{1}_4+4A^{1}_1$&$0$&$20$&$0$&$4$&$8$&$0$&\\
$2D^{1}_4$&$0$&$24$&$0$&$0$&$8$&$0$&\\
$D^{1}_4+A^{1}_3+A^{2}_1$&$0$&$19$&$0$&$1$&$8$&$0$&\\
$D^{1}_4+B^{1}_2+2A^{1}_1$&$0$&$18$&$0$&$2$&$8$&$0$&\\
$D^{1}_4+4A^{1}_1$&$0$&$16$&$0$&$4$&$8$&$0$&\\
$B^{1}_3+A^{1}_3+2A^{1}_1$&$0$&$17$&$0$&$2$&$8$&$0$&\\
$2A^{1}_3+B^{1}_2$&$0$&$16$&$0$&$0$&$8$&$0$&\\
$2A^{1}_3+2A^{1}_1$&$0$&$14$&$0$&$2$&$8$&$0$&\\
$A^{1}_3+A^{2}_1+4A^{1}_1$&$0$&$11$&$0$&$5$&$8$&$0$&\\
$B^{1}_2+6A^{1}_1$&$0$&$10$&$0$&$6$&$8$&$0$&\\
$8A^{1}_1$&$0$&$8$&$0$&$8$&$8$&$0$&\\
$B^{1}_7$&$0$&$49$&$0$&$0$&$7$&$0$&\\
$D^{1}_7$&$A^{2}_1$&$42$&$1$&$0$&$7$&$1$&\\
$A^{1}_7$&$0$&$28$&$0$&$0$&$7$&$0$&\\
$B^{1}_6+A^{1}_1$&$A^{1}_1$&$37$&$1$&$1$&$7$&$1$&\\
$D^{1}_6+A^{2}_1$&$0$&$31$&$0$&$1$&$7$&$0$&\\
$D^{1}_6+A^{1}_1$&$A^{1}_1$&$31$&$1$&$1$&$7$&$1$&\\
$A^{1}_6+A^{2}_1$&$0$&$22$&$0$&$1$&$7$&$0$&\\
$B^{1}_5+A^{1}_2$&$0$&$28$&$0$&$0$&$7$&$0$&\\
$B^{1}_5+2A^{1}_1$&$0$&$27$&$0$&$2$&$7$&$0$&\\
$D^{1}_5+B^{1}_2$&$0$&$24$&$0$&$0$&$7$&$0$&\\
$D^{1}_5+A^{1}_2$&$0$&$23$&$0$&$0$&$7$&$0$&\\
$D^{1}_5+A^{2}_1+A^{1}_1$&$A^{1}_1$&$22$&$1$&$2$&$7$&$1$&\\
$D^{1}_5+2A^{1}_1$&$A^{2}_1$&$22$&$1$&$2$&$7$&$1$&\\
$A^{1}_5+B^{1}_2$&$0$&$19$&$0$&$0$&$7$&$0$&\\
$A^{1}_5+2A^{1}_1$&$0$&$17$&$0$&$2$&$7$&$0$&\\
$B^{1}_4+A^{1}_3$&$0$&$22$&$0$&$0$&$7$&$0$&\\
$B^{1}_4+A^{1}_3$&$0$&$22$&$0$&$0$&$7$&$0$&\\
$B^{1}_4+3A^{1}_1$&$A^{1}_1$&$19$&$1$&$3$&$7$&$1$&\\
$D^{1}_4+B^{1}_3$&$0$&$21$&$0$&$0$&$7$&$0$&\\
$D^{1}_4+A^{1}_3$&$0$&$18$&$0$&$0$&$7$&$0$&\\
$D^{1}_4+A^{1}_3$&$A^{2}_1$&$18$&$1$&$0$&$7$&$1$&\\
$D^{1}_4+B^{1}_2+A^{1}_1$&$A^{1}_1$&$17$&$1$&$1$&$7$&$1$&\\
$D^{1}_4+A^{1}_2+A^{2}_1$&$0$&$16$&$0$&$1$&$7$&$0$&\\
$D^{1}_4+A^{2}_1+2A^{1}_1$&$0$&$15$&$0$&$3$&$7$&$0$&\\
$D^{1}_4+3A^{1}_1$&$A^{1}_1$&$15$&$1$&$3$&$7$&$1$&\\
$A^{1}_4+B^{1}_3$&$0$&$19$&$0$&$0$&$7$&$0$&\\
$A^{1}_4+A^{1}_3$&$0$&$16$&$0$&$0$&$7$&$0$&\\
$A^{1}_4+A^{2}_1+2A^{1}_1$&$0$&$13$&$0$&$3$&$7$&$0$&\\
$B^{1}_3+A^{1}_3+A^{1}_1$&$A^{1}_1$&$16$&$1$&$1$&$7$&$1$&\\
$B^{1}_3+A^{1}_2+2A^{1}_1$&$0$&$14$&$0$&$2$&$7$&$0$&\\
$B^{1}_3+4A^{1}_1$&$0$&$13$&$0$&$4$&$7$&$0$&\\
$2A^{1}_3+A^{2}_1$&$0$&$13$&$0$&$1$&$7$&$0$&\\
$2A^{1}_3+A^{2}_1$&$0$&$13$&$0$&$1$&$7$&$0$&\\
$2A^{1}_3+A^{1}_1$&$A^{1}_1$&$13$&$1$&$1$&$7$&$1$&\\
$A^{1}_3+B^{1}_2+A^{1}_2$&$0$&$13$&$0$&$0$&$7$&$0$&\\
$A^{1}_3+B^{1}_2+2A^{1}_1$&$0$&$12$&$0$&$2$&$7$&$0$&\\
$A^{1}_3+B^{1}_2+2A^{1}_1$&$0$&$12$&$0$&$2$&$7$&$0$&\\
$A^{1}_3+A^{1}_2+2A^{1}_1$&$0$&$11$&$0$&$2$&$7$&$0$&\\
$A^{1}_3+A^{2}_1+3A^{1}_1$&$A^{1}_1$&$10$&$1$&$4$&$7$&$1$&\\
$A^{1}_3+4A^{1}_1$&$A^{2}_1$&$10$&$1$&$4$&$7$&$1$&\\
$A^{1}_3+4A^{1}_1$&$0$&$10$&$0$&$4$&$7$&$0$&\\
$B^{1}_2+5A^{1}_1$&$A^{1}_1$&$9$&$1$&$5$&$7$&$1$&\\
$A^{1}_2+A^{2}_1+4A^{1}_1$&$0$&$8$&$0$&$5$&$7$&$0$&\\
$A^{2}_1+6A^{1}_1$&$0$&$7$&$0$&$7$&$7$&$0$&\\
$7A^{1}_1$&$A^{1}_1$&$7$&$1$&$7$&$7$&$1$&\\
$B^{1}_6$&$2A^{1}_1$&$36$&$2$&$0$&$6$&$2$&\\
$D^{1}_6$&$B^{1}_2$&$30$&$4$&$0$&$6$&$2$&\\
$A^{1}_6$&$A^{2}_1$&$21$&$1$&$0$&$6$&$1$&\\
$B^{1}_5+A^{1}_1$&$A^{1}_1$&$26$&$1$&$1$&$6$&$1$&\\
$D^{1}_5+A^{2}_1$&$2A^{1}_1$&$21$&$2$&$1$&$6$&$2$&\\
$D^{1}_5+A^{1}_1$&$A^{2}_1+A^{1}_1$&$21$&$2$&$1$&$6$&$2$&\\
$A^{1}_5+A^{2}_1$&$0$&$16$&$0$&$1$&$6$&$0$&\\
$A^{1}_5+A^{1}_1$&$A^{1}_1$&$16$&$1$&$1$&$6$&$1$&\\
$B^{1}_4+A^{1}_2$&$0$&$19$&$0$&$0$&$6$&$0$&\\
$B^{1}_4+2A^{1}_1$&$2A^{1}_1$&$18$&$2$&$2$&$6$&$2$&\\
$B^{1}_4+2A^{1}_1$&$2A^{1}_1$&$18$&$2$&$2$&$6$&$2$&\\
$D^{1}_4+B^{1}_2$&$2A^{1}_1$&$16$&$2$&$0$&$6$&$2$&\\
$D^{1}_4+A^{1}_2$&$A^{2}_1$&$15$&$1$&$0$&$6$&$1$&\\
$D^{1}_4+A^{2}_1+A^{1}_1$&$A^{1}_1$&$14$&$1$&$2$&$6$&$1$&\\
$D^{1}_4+2A^{1}_1$&$B^{1}_2$&$14$&$4$&$2$&$6$&$2$&\\
$D^{1}_4+2A^{1}_1$&$2A^{1}_1$&$14$&$2$&$2$&$6$&$2$&\\
$A^{1}_4+B^{1}_2$&$0$&$14$&$0$&$0$&$6$&$0$&\\
$A^{1}_4+A^{1}_2$&$0$&$13$&$0$&$0$&$6$&$0$&\\
$A^{1}_4+A^{2}_1+A^{1}_1$&$A^{1}_1$&$12$&$1$&$2$&$6$&$1$&\\
$A^{1}_4+2A^{1}_1$&$A^{2}_1$&$12$&$1$&$2$&$6$&$1$&\\
$B^{1}_3+A^{1}_3$&$2A^{1}_1$&$15$&$2$&$0$&$6$&$2$&\\
$B^{1}_3+A^{1}_3$&$0$&$15$&$0$&$0$&$6$&$0$&\\
$B^{1}_3+A^{1}_2+A^{1}_1$&$A^{1}_1$&$13$&$1$&$1$&$6$&$1$&\\
$B^{1}_3+3A^{1}_1$&$A^{1}_1$&$12$&$1$&$3$&$6$&$1$&\\
$2A^{1}_3$&$0$&$12$&$0$&$0$&$6$&$0$&\\
$2A^{1}_3$&$B^{1}_2$&$12$&$4$&$0$&$6$&$2$&\\
$2A^{1}_3$&$A^{2}_1$&$12$&$1$&$0$&$6$&$1$&\\
$A^{1}_3+B^{1}_2+A^{1}_1$&$A^{1}_1$&$11$&$1$&$1$&$6$&$1$&\\
$A^{1}_3+B^{1}_2+A^{1}_1$&$A^{1}_1$&$11$&$1$&$1$&$6$&$1$&\\
$A^{1}_3+A^{1}_2+A^{2}_1$&$0$&$10$&$0$&$1$&$6$&$0$&\\
$A^{1}_3+A^{1}_2+A^{2}_1$&$0$&$10$&$0$&$1$&$6$&$0$&\\
$A^{1}_3+A^{1}_2+A^{1}_1$&$A^{1}_1$&$10$&$1$&$1$&$6$&$1$&\\
$A^{1}_3+A^{2}_1+2A^{1}_1$&$2A^{1}_1$&$9$&$2$&$3$&$6$&$2$&\\
$A^{1}_3+A^{2}_1+2A^{1}_1$&$0$&$9$&$0$&$3$&$6$&$0$&\\
$A^{1}_3+A^{2}_1+2A^{1}_1$&$2A^{1}_1$&$9$&$2$&$3$&$6$&$2$&\\
$A^{1}_3+3A^{1}_1$&$A^{2}_1+A^{1}_1$&$9$&$2$&$3$&$6$&$2$&\\
$A^{1}_3+3A^{1}_1$&$A^{1}_1$&$9$&$1$&$3$&$6$&$1$&\\
$B^{1}_2+2A^{1}_2$&$0$&$10$&$0$&$0$&$6$&$0$&\\
$B^{1}_2+A^{1}_2+2A^{1}_1$&$0$&$9$&$0$&$2$&$6$&$0$&\\
$B^{1}_2+4A^{1}_1$&$2A^{1}_1$&$8$&$2$&$4$&$6$&$2$&\\
$B^{1}_2+4A^{1}_1$&$2A^{1}_1$&$8$&$2$&$4$&$6$&$2$&\\
$2A^{1}_2+2A^{1}_1$&$0$&$8$&$0$&$2$&$6$&$0$&\\
$A^{1}_2+A^{2}_1+3A^{1}_1$&$A^{1}_1$&$7$&$1$&$4$&$6$&$1$&\\
$A^{1}_2+4A^{1}_1$&$A^{2}_1$&$7$&$1$&$4$&$6$&$1$&\\
$A^{2}_1+5A^{1}_1$&$A^{1}_1$&$6$&$1$&$6$&$6$&$1$&\\
$6A^{1}_1$&$2A^{1}_1$&$6$&$2$&$6$&$6$&$2$&\\
$6A^{1}_1$&$B^{1}_2$&$6$&$4$&$6$&$6$&$2$&\\
$B^{1}_5$&$A^{1}_3$&$25$&$6$&$0$&$5$&$3$&\\
$D^{1}_5$&$B^{1}_3$&$20$&$9$&$0$&$5$&$3$&\\
$A^{1}_5$&$B^{1}_2$&$15$&$4$&$0$&$5$&$2$&\\
$B^{1}_4+A^{1}_1$&$3A^{1}_1$&$17$&$3$&$1$&$5$&$3$&\\
$D^{1}_4+A^{2}_1$&$A^{1}_3$&$13$&$6$&$1$&$5$&$3$&\\
$D^{1}_4+A^{1}_1$&$B^{1}_2+A^{1}_1$&$13$&$5$&$1$&$5$&$3$&\\
$A^{1}_4+A^{2}_1$&$2A^{1}_1$&$11$&$2$&$1$&$5$&$2$&\\
$A^{1}_4+A^{1}_1$&$A^{2}_1+A^{1}_1$&$11$&$2$&$1$&$5$&$2$&\\
$B^{1}_3+A^{1}_2$&$2A^{1}_1$&$12$&$2$&$0$&$5$&$2$&\\
$B^{1}_3+2A^{1}_1$&$2A^{1}_1$&$11$&$2$&$2$&$5$&$2$&\\
$B^{1}_3+2A^{1}_1$&$A^{1}_3$&$11$&$6$&$2$&$5$&$3$&\\
$A^{1}_3+B^{1}_2$&$2A^{1}_1$&$10$&$2$&$0$&$5$&$2$&\\
$A^{1}_3+B^{1}_2$&$A^{1}_3$&$10$&$6$&$0$&$5$&$3$&\\
$A^{1}_3+A^{1}_2$&$A^{2}_1$&$9$&$1$&$0$&$5$&$1$&\\
$A^{1}_3+A^{1}_2$&$B^{1}_2$&$9$&$4$&$0$&$5$&$2$&\\
$A^{1}_3+A^{2}_1+A^{1}_1$&$A^{1}_1$&$8$&$1$&$2$&$5$&$1$&\\
$A^{1}_3+A^{2}_1+A^{1}_1$&$3A^{1}_1$&$8$&$3$&$2$&$5$&$3$&\\
$A^{1}_3+2A^{1}_1$&$A^{2}_1+2A^{1}_1$&$8$&$3$&$2$&$5$&$3$&\\
$A^{1}_3+2A^{1}_1$&$B^{1}_2$&$8$&$4$&$2$&$5$&$2$&\\
$A^{1}_3+2A^{1}_1$&$B^{1}_3$&$8$&$9$&$2$&$5$&$3$&\\
$A^{1}_3+2A^{1}_1$&$2A^{1}_1$&$8$&$2$&$2$&$5$&$2$&\\
$B^{1}_2+A^{1}_2+A^{1}_1$&$A^{1}_1$&$8$&$1$&$1$&$5$&$1$&\\
$B^{1}_2+3A^{1}_1$&$3A^{1}_1$&$7$&$3$&$3$&$5$&$3$&\\
$B^{1}_2+3A^{1}_1$&$3A^{1}_1$&$7$&$3$&$3$&$5$&$3$&\\
$2A^{1}_2+A^{2}_1$&$0$&$7$&$0$&$1$&$5$&$0$&\\
$2A^{1}_2+A^{1}_1$&$A^{1}_1$&$7$&$1$&$1$&$5$&$1$&\\
$A^{1}_2+A^{2}_1+2A^{1}_1$&$2A^{1}_1$&$6$&$2$&$3$&$5$&$2$&\\
$A^{1}_2+A^{2}_1+2A^{1}_1$&$2A^{1}_1$&$6$&$2$&$3$&$5$&$2$&\\
$A^{1}_2+3A^{1}_1$&$A^{2}_1+A^{1}_1$&$6$&$2$&$3$&$5$&$2$&\\
$A^{2}_1+4A^{1}_1$&$2A^{1}_1$&$5$&$2$&$5$&$5$&$2$&\\
$A^{2}_1+4A^{1}_1$&$A^{1}_3$&$5$&$6$&$5$&$5$&$3$&\\
$5A^{1}_1$&$3A^{1}_1$&$5$&$3$&$5$&$5$&$3$&\\
$5A^{1}_1$&$B^{1}_2+A^{1}_1$&$5$&$5$&$5$&$5$&$3$&\\
$B^{1}_4$&$D^{1}_4$&$16$&$12$&$0$&$4$&$4$&\\
$D^{1}_4$&$B^{1}_4$&$12$&$16$&$0$&$4$&$4$&\\
$A^{1}_4$&$B^{1}_3$&$10$&$9$&$0$&$4$&$3$&\\
$B^{1}_3+A^{1}_1$&$A^{1}_3+A^{1}_1$&$10$&$7$&$1$&$4$&$4$&\\
$A^{1}_3+A^{2}_1$&$D^{1}_4$&$7$&$12$&$1$&$4$&$4$&\\
$A^{1}_3+A^{2}_1$&$A^{1}_3$&$7$&$6$&$1$&$4$&$3$&\\
$A^{1}_3+A^{1}_1$&$B^{1}_3+A^{1}_1$&$7$&$10$&$1$&$4$&$4$&\\
$A^{1}_3+A^{1}_1$&$B^{1}_2+A^{1}_1$&$7$&$5$&$1$&$4$&$3$&\\
$B^{1}_2+A^{1}_2$&$A^{1}_3$&$7$&$6$&$0$&$4$&$3$&\\
$B^{1}_2+2A^{1}_1$&$D^{1}_4$&$6$&$12$&$2$&$4$&$4$&\\
$B^{1}_2+2A^{1}_1$&$4A^{1}_1$&$6$&$4$&$2$&$4$&$4$&\\
$2A^{1}_2$&$B^{1}_2$&$6$&$4$&$0$&$4$&$2$&\\
$A^{1}_2+A^{2}_1+A^{1}_1$&$3A^{1}_1$&$5$&$3$&$2$&$4$&$3$&\\
$A^{1}_2+2A^{1}_1$&$A^{2}_1+2A^{1}_1$&$5$&$3$&$2$&$4$&$3$&\\
$A^{1}_2+2A^{1}_1$&$B^{1}_3$&$5$&$9$&$2$&$4$&$3$&\\
$A^{2}_1+3A^{1}_1$&$A^{1}_3+A^{1}_1$&$4$&$7$&$4$&$4$&$4$&\\
$A^{2}_1+3A^{1}_1$&$3A^{1}_1$&$4$&$3$&$4$&$4$&$3$&\\
$4A^{1}_1$&$B^{1}_2+2A^{1}_1$&$4$&$6$&$4$&$4$&$4$&\\
$4A^{1}_1$&$B^{1}_4$&$4$&$16$&$4$&$4$&$4$&\\
$4A^{1}_1$&$4A^{1}_1$&$4$&$4$&$4$&$4$&$4$&\\
$B^{1}_3$&$D^{1}_5$&$9$&$20$&$0$&$3$&$5$&\\
$A^{1}_3$&$B^{1}_5$&$6$&$25$&$0$&$3$&$5$&\\
$A^{1}_3$&$B^{1}_4$&$6$&$16$&$0$&$3$&$4$&\\
$B^{1}_2+A^{1}_1$&$D^{1}_4+A^{1}_1$&$5$&$13$&$1$&$3$&$5$&\\
$A^{1}_2+A^{2}_1$&$D^{1}_4$&$4$&$12$&$1$&$3$&$4$&\\
$A^{1}_2+A^{1}_1$&$B^{1}_3+A^{1}_1$&$4$&$10$&$1$&$3$&$4$&\\
$A^{2}_1+2A^{1}_1$&$A^{1}_3+2A^{1}_1$&$3$&$8$&$3$&$3$&$5$&\\
$A^{2}_1+2A^{1}_1$&$D^{1}_5$&$3$&$20$&$3$&$3$&$5$&\\
$3A^{1}_1$&$B^{1}_4+A^{1}_1$&$3$&$17$&$3$&$3$&$5$&\\
$3A^{1}_1$&$B^{1}_2+3A^{1}_1$&$3$&$7$&$3$&$3$&$5$&\\
$B^{1}_2$&$D^{1}_6$&$4$&$30$&$0$&$2$&$6$&\\
$A^{1}_2$&$B^{1}_5$&$3$&$25$&$0$&$2$&$5$&\\
$A^{2}_1+A^{1}_1$&$D^{1}_5+A^{1}_1$&$2$&$21$&$2$&$2$&$6$&\\
$2A^{1}_1$&$B^{1}_6$&$2$&$36$&$2$&$2$&$6$&\\
$2A^{1}_1$&$B^{1}_4+2A^{1}_1$&$2$&$18$&$2$&$2$&$6$&\\
$A^{2}_1$&$D^{1}_7$&$1$&$42$&$1$&$1$&$7$&\\
$A^{1}_1$&$B^{1}_6+A^{1}_1$&$1$&$37$&$1$&$1$&$7$&\\
$0$&$B^{1}_8$&$0$&$64$&$0$&$0$&$8$&\\
\end{longtable}
\end{document}