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  • Left side of the tables: the NS5 brane charges
  • Top of the tables: D5 brane changes
  • Table entries:
      number in red: number of fixed points
      [numbers in black]: possible dimensions (the dimension depends on the order of the charges)

  • The symmetry of red numbers across the main diagonal is (a very weak form of) 3d mirror symmetry.


               D5→

    NS5↓

    [1]
    [1] 1
    [0]

     

               D5→

    NS5↓

    [1, 1] [2]
    [1, 1] 2
    [2]
    1
    [0]
    [2] 1
    [0]

     

               D5→

    NS5↓

    [1, 1, 1] [1, 2] [3]
    [1, 1, 1] 6
    [6]
    3
    [2, 4]
    1
    [0]
    [1, 2] 3
    [4]
    1
    [0, 2]
    [3] 1
    [0]

     

               D5→

    NS5↓

    [1, 1, 1, 1] [1, 1, 2] [2, 2] [1, 3] [4]
    [1, 1, 1, 1] 24
    [12]
    12
    [6, 8, 10]
    6
    [4]
    4
    [2, 6]
    1
    [0]
    [1, 1, 2] 12
    [10]
    5
    [4, 6, 8]
    2
    [2]
    1
    [0, 4]
    [2, 2] 6
    [8]
    2
    [2, 4, 6]
    1
    [0]
    [1, 3] 4
    [6]
    1
    [0, 2, 4]
    [4] 1
    [0]

     

               D5→

    NS5↓

    [1, 1, 1, 1, 1] [1, 1, 1, 2] [1, 2, 2] [1, 1, 3] [2, 3] [1, 4] [5]
    [1, 1, 1, 1, 1] 120
    [20]
    60
    [12, 14, 16, 18]
    30
    [8, 10, 12]
    20
    [6, 10, 14]
    10
    [4, 6]
    5
    [2, 8]
    1
    [0]
    [1, 1, 1, 2] 60
    [18]
    27
    [10, 12, 14, 16]
    12
    [6, 8, 10]
    7
    [4, 8, 12]
    3
    [2, 4]
    1
    [0, 6]
    [1, 2, 2] 30
    [16]
    12
    [8, 10, 12, 14]
    5
    [4, 6, 8]
    2
    [2, 6, 10]
    1
    [0, 2]
    [1, 1, 3] 20
    [14]
    7
    [6, 8, 10, 12]
    2
    [2, 4, 6]
    1
    [0, 4, 8]
    [2, 3] 10
    [12]
    3
    [4, 6, 8, 10]
    1
    [0, 2, 4]
    [1, 4] 5
    [8]
    1
    [0, 2, 4, 6]
    [5] 1
    [0]

     

               D5→

    NS5↓

    [1, 1, 1, 1, 1, 1] [1, 1, 1, 1, 2] [1, 1, 2, 2] [2, 2, 2] [1, 1, 1, 3] [1, 2, 3] [3, 3] [1, 1, 4] [2, 4] [1, 5] [6]
    [1, 1, 1, 1, 1, 1] 720
    [30]
    360
    [20, 22, 24, 26, 28]
    180
    [14, 16, 18, 20, 22]
    90
    [12]
    120
    [12, 16, 20, 24]
    60
    [8, 10, 14, 16]
    20
    [6]
    30
    [6, 12, 18]
    15
    [4, 8]
    6
    [2, 10]
    1
    [0]
    [1, 1, 1, 1, 2] 360
    [28]
    168
    [18, 20, 22, 24, 26]
    78
    [12, 14, 16, 18, 20]
    36
    [10]
    48
    [10, 14, 18, 22]
    22
    [6, 8, 12, 14]
    6
    [4]
    9
    [4, 10, 16]
    4
    [2, 6]
    1
    [0, 8]
    [1, 1, 2, 2] 180
    [26]
    78
    [16, 18, 20, 22, 24]
    34
    [10, 12, 14, 16, 18]
    15
    [8]
    18
    [8, 12, 16, 20]
    8
    [4, 6, 10, 12]
    2
    [2]
    2
    [2, 8, 14]
    1
    [0, 4]
    [2, 2, 2] 90
    [24]
    36
    [14, 16, 18, 20, 22]
    15
    [8, 10, 12, 14, 16]
    6
    [6]
    6
    [6, 10, 14, 18]
    3
    [2, 4, 8, 10]
    1
    [0]
    [1, 1, 1, 3] 120
    [24]
    48
    [14, 16, 18, 20, 22]
    18
    [8, 10, 12, 14, 16]
    6
    [6]
    10
    [6, 10, 14, 18]
    3
    [2, 4, 8, 10]
    1
    [0, 6, 12]
    [1, 2, 3] 60
    [22]
    22
    [12, 14, 16, 18, 20]
    8
    [6, 8, 10, 12, 14]
    3
    [4]
    3
    [4, 8, 12, 16]
    1
    [0, 2, 6, 8]
    [3, 3] 20
    [18]
    6
    [8, 10, 12, 14, 16]
    2
    [2, 4, 6, 8, 10]
    1
    [0]
    [1, 1, 4] 30
    [18]
    9
    [8, 10, 12, 14, 16]
    2
    [2, 4, 6, 8, 10]
    1
    [0, 4, 8, 12]
    [2, 4] 15
    [16]
    4
    [6, 8, 10, 12, 14]
    1
    [0, 2, 4, 6, 8]
    [1, 5] 6
    [10]
    1
    [0, 2, 4, 6, 8]
    [6] 1
    [0]

     

               D5→

    NS5↓

    [1, 1, 1, 1, 1, 1, 1] [1, 1, 1, 1, 1, 2] [1, 1, 1, 2, 2] [1, 2, 2, 2] [1, 1, 1, 1, 3] [1, 1, 2, 3] [2, 2, 3] [1, 3, 3] [1, 1, 1, 4] [1, 2, 4] [3, 4] [1, 1, 5] [2, 5] [1, 6] [7]
    [1, 1, 1, 1, 1, 1, 1] 5040
    [42]
    2520
    [30, 32, 34, 36, 38, 40]
    1260
    [22, 24, 26, 28, 30, 32, 34]
    630
    [18, 20, 22, 24]
    840
    [20, 24, 28, 32, 36]
    420
    [14, 16, 18, 20, 22, 24, 26, 28]
    210
    [12, 14, 16]
    140
    [10, 14, 18]
    210
    [12, 18, 24, 30]
    105
    [8, 10, 12, 16, 18, 20]
    35
    [6, 8]
    42
    [6, 14, 22]
    21
    [4, 10]
    7
    [2, 12]
    1
    [0]
    [1, 1, 1, 1, 1, 2] 2520
    [40]
    1200
    [28, 30, 32, 34, 36, 38]
    570
    [20, 22, 24, 26, 28, 30, 32]
    270
    [16, 18, 20, 22]
    360
    [18, 22, 26, 30, 34]
    170
    [12, 14, 16, 18, 20, 22, 24, 26]
    80
    [10, 12, 14]
    50
    [8, 12, 16]
    75
    [10, 16, 22, 28]
    35
    [6, 8, 10, 14, 16, 18]
    10
    [4, 6]
    11
    [4, 12, 20]
    5
    [2, 8]
    1
    [0, 10]
    [1, 1, 1, 2, 2] 1260
    [38]
    570
    [26, 28, 30, 32, 34, 36]
    258
    [18, 20, 22, 24, 26, 28, 30]
    117
    [14, 16, 18, 20]
    150
    [16, 20, 24, 28, 32]
    68
    [10, 12, 14, 16, 18, 20, 22, 24]
    31
    [8, 10, 12]
    18
    [6, 10, 14]
    24
    [8, 14, 20, 26]
    11
    [4, 6, 8, 12, 14, 16]
    3
    [2, 4]
    2
    [2, 10, 18]
    1
    [0, 6]
    [1, 2, 2, 2] 630
    [36]
    270
    [24, 26, 28, 30, 32, 34]
    117
    [16, 18, 20, 22, 24, 26, 28]
    51
    [12, 14, 16, 18]
    60
    [14, 18, 22, 26, 30]
    27
    [8, 10, 12, 14, 16, 18, 20, 22]
    12
    [6, 8, 10]
    7
    [4, 8, 12]
    6
    [6, 12, 18, 24]
    3
    [2, 4, 6, 10, 12, 14]
    1
    [0, 2]
    [1, 1, 1, 1, 3] 840
    [36]
    360
    [24, 26, 28, 30, 32, 34]
    150
    [16, 18, 20, 22, 24, 26, 28]
    60
    [12, 14, 16, 18]
    88
    [14, 18, 22, 26, 30]
    34
    [8, 10, 12, 14, 16, 18, 20, 22]
    12
    [6, 8, 10]
    6
    [4, 8, 12]
    13
    [6, 12, 18, 24]
    4
    [2, 4, 6, 10, 12, 14]
    1
    [0, 8, 16]
    [1, 1, 2, 3] 420
    [34]
    170
    [22, 24, 26, 28, 30, 32]
    68
    [14, 16, 18, 20, 22, 24, 26]
    27
    [10, 12, 14, 16]
    34
    [12, 16, 20, 24, 28]
    13
    [6, 8, 10, 12, 14, 16, 18, 20]
    5
    [4, 6, 8]
    2
    [2, 6, 10]
    3
    [4, 10, 16, 22]
    1
    [0, 2, 4, 8, 10, 12]
    [2, 2, 3] 210
    [32]
    80
    [20, 22, 24, 26, 28, 30]
    31
    [12, 14, 16, 18, 20, 22, 24]
    12
    [8, 10, 12, 14]
    12
    [10, 14, 18, 22, 26]
    5
    [4, 6, 8, 10, 12, 14, 16, 18]
    2
    [2, 4, 6]
    1
    [0, 4, 8]
    [1, 3, 3] 140
    [30]
    50
    [18, 20, 22, 24, 26, 28]
    18
    [10, 12, 14, 16, 18, 20, 22]
    7
    [6, 8, 10, 12]
    6
    [8, 12, 16, 20, 24]
    2
    [2, 4, 6, 8, 10, 12, 14, 16]
    1
    [0, 2, 4]
    [1, 1, 1, 4] 210
    [30]
    75
    [18, 20, 22, 24, 26, 28]
    24
    [10, 12, 14, 16, 18, 20, 22]
    6
    [6, 8, 10, 12]
    13
    [8, 12, 16, 20, 24]
    3
    [2, 4, 6, 8, 10, 12, 14, 16]
    1
    [0, 6, 12, 18]
    [1, 2, 4] 105
    [28]
    35
    [16, 18, 20, 22, 24, 26]
    11
    [8, 10, 12, 14, 16, 18, 20]
    3
    [4, 6, 8, 10]
    4
    [6, 10, 14, 18, 22]
    1
    [0, 2, 4, 6, 8, 10, 12, 14]
    [3, 4] 35
    [24]
    10
    [12, 14, 16, 18, 20, 22]
    3
    [4, 6, 8, 10, 12, 14, 16]
    1
    [0, 2, 4, 6]
    [1, 1, 5] 42
    [22]
    11
    [10, 12, 14, 16, 18, 20]
    2
    [2, 4, 6, 8, 10, 12, 14]
    1
    [0, 4, 8, 12, 16]
    [2, 5] 21
    [20]
    5
    [8, 10, 12, 14, 16, 18]
    1
    [0, 2, 4, 6, 8, 10, 12]
    [1, 6] 7
    [12]
    1
    [0, 2, 4, 6, 8, 10]
    [7] 1
    [0]

     

               D5→

    NS5↓

    [1, 1, 1, 1, 1, 1, 1, 1]
    [1, 1, 1, 1, 1, 1, 2]
    [1, 1, 1, 1, 2, 2]
    [1, 1, 2, 2, 2]
    [2, 2, 2, 2]
    [1, 1, 1, 1, 1, 3]
    [1, 1, 1, 2, 3]
    [1, 2, 2, 3]
    [1, 1, 3, 3]
    [2, 3, 3]
    [1, 1, 1, 1, 4]
    [1, 1, 2, 4]
    [2, 2, 4]
    [1, 3, 4]
    [4, 4]
    [1, 1, 1, 5]
    [1, 2, 5]
    [3, 5]
    [1, 1, 6]
    [2, 6]
    [1, 7]
    [8]
    [1, 1, 1, 1, 1, 1, 1, 1]
    40320
    [56]
    20160
    [42, 44, 46, 48, 50, 52, 54]
    10080
    [32, 34, 36, 38, 40, 42, 44, 46, 48]
    5040
    [26, 28, 30, 32, 34, 36, 38]
    2520
    [24]
    6720
    [30, 34, 38, 42, 46, 50]
    3360
    [22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42]
    1680
    [18, 20, 22, 26, 28, 30]
    1120
    [16, 20, 24, 28, 32]
    560
    [14, 16, 18]
    1680
    [20, 26, 32, 38, 44]
    840
    [14, 16, 18, 22, 24, 26, 30, 32, 34]
    420
    [12, 16, 20]
    280
    [10, 12, 14, 18, 20, 22]
    70
    [8]
    336
    [12, 20, 28, 36]
    168
    [8, 10, 14, 18, 22, 24]
    56
    [6, 10]
    56
    [6, 16, 26]
    28
    [4, 12]
    8
    [2, 14]
    1
    [0]
    [1, 1, 1, 1, 1, 1, 2] 20160
    [54]
    9720
    [40, 42, 44, 46, 48, 50, 52]
    4680
    [30, 32, 34, 36, 38, 40, 42, 44, 46]
    2250
    [24, 26, 28, 30, 32, 34, 36]
    1080
    [22]
    3000
    [28, 32, 36, 40, 44, 48]
    1440
    [20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40]
    690
    [16, 18, 20, 24, 26, 28]
    440
    [14, 18, 22, 26, 30]
    210
    [12, 14, 16]
    660
    [18, 24, 30, 36, 42]
    315
    [12, 14, 16, 20, 22, 24, 28, 30, 32]
    150
    [10, 14, 18]
    95
    [8, 10, 12, 16, 18, 20]
    20
    [6]
    108
    [10, 18, 26, 34]
    51
    [6, 8, 12, 16, 20, 22]
    15
    [4, 8]
    13
    [4, 14, 24]
    6
    [2, 10]
    1
    [0, 12]
    [1, 1, 1, 1, 2, 2] 10080
    [52]
    4680
    [38, 40, 42, 44, 46, 48, 50]
    2172
    [28, 30, 32, 34, 36, 38, 40, 42, 44]
    1008
    [22, 24, 26, 28, 30, 32, 34]
    468
    [20]
    1320
    [26, 30, 34, 38, 42, 46]
    612
    [18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38]
    284
    [14, 16, 18, 22, 24, 26]
    172
    [12, 16, 20, 24, 28]
    80
    [10, 12, 14]
    246
    [16, 22, 28, 34, 40]
    114
    [10, 12, 14, 18, 20, 22, 26, 28, 30]
    53
    [8, 12, 16]
    32
    [6, 8, 10, 14, 16, 18]
    6
    [4]
    30
    [8, 16, 24, 32]
    14
    [4, 6, 10, 14, 18, 20]
    4
    [2, 6]
    2
    [2, 12, 22]
    1
    [0, 8]
    [1, 1, 2, 2, 2] 5040
    [50]
    2250
    [36, 38, 40, 42, 44, 46, 48]
    1008
    [26, 28, 30, 32, 34, 36, 38, 40, 42]
    453
    [20, 22, 24, 26, 28, 30, 32]
    204
    [18]
    570
    [24, 28, 32, 36, 40, 44]
    258
    [16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36]
    117
    [12, 14, 16, 20, 22, 24]
    68
    [10, 14, 18, 22, 26]
    31
    [8, 10, 12]
    84
    [14, 20, 26, 32, 38]
    39
    [8, 10, 12, 16, 18, 20, 24, 26, 28]
    18
    [6, 10, 14]
    11
    [4, 6, 8, 12, 14, 16]
    2
    [2]
    6
    [6, 14, 22, 30]
    3
    [2, 4, 8, 12, 16, 18]
    1
    [0, 4]
    [2, 2, 2, 2] 2520
    [48]
    1080
    [34, 36, 38, 40, 42, 44, 46]
    468
    [24, 26, 28, 30, 32, 34, 36, 38, 40]
    204
    [18, 20, 22, 24, 26, 28, 30]
    90
    [16]
    240
    [22, 26, 30, 34, 38, 42]
    108
    [14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34]
    48
    [10, 12, 14, 18, 20, 22]
    28
    [8, 12, 16, 20, 24]
    12
    [6, 8, 10]
    24
    [12, 18, 24, 30, 36]
    12
    [6, 8, 10, 14, 16, 18, 22, 24, 26]
    6
    [4, 8, 12]
    4
    [2, 4, 6, 10, 12, 14]
    1
    [0]
    [1, 1, 1, 1, 1, 3] 6720
    [50]
    3000
    [36, 38, 40, 42, 44, 46, 48]
    1320
    [26, 28, 30, 32, 34, 36, 38, 40, 42]
    570
    [20, 22, 24, 26, 28, 30, 32]
    240
    [18]
    800
    [24, 28, 32, 36, 40, 44]
    340
    [16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36]
    140
    [12, 14, 16, 20, 22, 24]
    80
    [10, 14, 18, 22, 26]
    30
    [8, 10, 12]
    140
    [14, 20, 26, 32, 38]
    55
    [8, 10, 12, 16, 18, 20, 24, 26, 28]
    20
    [6, 10, 14]
    10
    [4, 6, 8, 12, 14, 16]
    16
    [6, 14, 22, 30]
    5
    [2, 4, 8, 12, 16, 18]
    1
    [0, 10, 20]
    [1, 1, 1, 2, 3] 3360
    [48]
    1440
    [34, 36, 38, 40, 42, 44, 46]
    612
    [24, 26, 28, 30, 32, 34, 36, 38, 40]
    258
    [18, 20, 22, 24, 26, 28, 30]
    108
    [16]
    340
    [22, 26, 30, 34, 38, 42]
    141
    [14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34]
    58
    [10, 12, 14, 18, 20, 22]
    30
    [8, 12, 16, 20, 24]
    12
    [6, 8, 10]
    46
    [12, 18, 24, 30, 36]
    18
    [6, 8, 10, 14, 16, 18, 22, 24, 26]
    7
    [4, 8, 12]
    3
    [2, 4, 6, 10, 12, 14]
    3
    [4, 12, 20, 28]
    1
    [0, 2, 6, 10, 14, 16]
    [1, 2, 2, 3] 1680
    [46]
    690
    [32, 34, 36, 38, 40, 42, 44]
    284
    [22, 24, 26, 28, 30, 32, 34, 36, 38]
    117
    [16, 18, 20, 22, 24, 26, 28]
    48
    [14]
    140
    [20, 24, 28, 32, 36, 40]
    58
    [12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32]
    24
    [8, 10, 12, 16, 18, 20]
    12
    [6, 10, 14, 18, 22]
    5
    [4, 6, 8]
    12
    [10, 16, 22, 28, 34]
    5
    [4, 6, 8, 12, 14, 16, 20, 22, 24]
    2
    [2, 6, 10]
    1
    [0, 2, 4, 8, 10, 12]
    [1, 1, 3, 3] 1120
    [44]
    440
    [30, 32, 34, 36, 38, 40, 42]
    172
    [20, 22, 24, 26, 28, 30, 32, 34, 36]
    68
    [14, 16, 18, 20, 22, 24, 26]
    28
    [12]
    80
    [18, 22, 26, 30, 34, 38]
    30
    [10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30]
    12
    [6, 8, 10, 14, 16, 18]
    4
    [4, 8, 12, 16, 20]
    2
    [2, 4, 6]
    6
    [8, 14, 20, 26, 32]
    2
    [2, 4, 6, 10, 12, 14, 18, 20, 22]
    1
    [0, 4, 8]
    [2, 3, 3] 560
    [42]
    210
    [28, 30, 32, 34, 36, 38, 40]
    80
    [18, 20, 22, 24, 26, 28, 30, 32, 34]
    31
    [12, 14, 16, 18, 20, 22, 24]
    12
    [10]
    30
    [16, 20, 24, 28, 32, 36]
    12
    [8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28]
    5
    [4, 6, 8, 12, 14, 16]
    2
    [2, 6, 10, 14, 18]
    1
    [0, 2, 4]
    [1, 1, 1, 1, 4] 1680
    [44]
    660
    [30, 32, 34, 36, 38, 40, 42]
    246
    [20, 22, 24, 26, 28, 30, 32, 34, 36]
    84
    [14, 16, 18, 20, 22, 24, 26]
    24
    [12]
    140
    [18, 22, 26, 30, 34, 38]
    46
    [10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30]
    12
    [6, 8, 10, 14, 16, 18]
    6
    [4, 8, 12, 16, 20]
    17
    [8, 14, 20, 26, 32]
    4
    [2, 4, 6, 10, 12, 14, 18, 20, 22]
    1
    [0, 8, 16, 24]
    [1, 1, 2, 4] 840
    [42]
    315
    [28, 30, 32, 34, 36, 38, 40]
    114
    [18, 20, 22, 24, 26, 28, 30, 32, 34]
    39
    [12, 14, 16, 18, 20, 22, 24]
    12
    [10]
    55
    [16, 20, 24, 28, 32, 36]
    18
    [8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28]
    5
    [4, 6, 8, 12, 14, 16]
    2
    [2, 6, 10, 14, 18]
    4
    [6, 12, 18, 24, 30]
    1
    [0, 2, 4, 8, 10, 12, 16, 18, 20]
    [2, 2, 4] 420
    [40]
    150
    [26, 28, 30, 32, 34, 36, 38]
    53
    [16, 18, 20, 22, 24, 26, 28, 30, 32]
    18
    [10, 12, 14, 16, 18, 20, 22]
    6
    [8]
    20
    [14, 18, 22, 26, 30, 34]
    7
    [6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26]
    2
    [2, 4, 6, 10, 12, 14]
    1
    [0, 4, 8, 12, 16]
    [1, 3, 4] 280
    [38]
    95
    [24, 26, 28, 30, 32, 34, 36]
    32
    [14, 16, 18, 20, 22, 24, 26, 28, 30]
    11
    [8, 10, 12, 14, 16, 18, 20]
    4
    [6]
    10
    [12, 16, 20, 24, 28, 32]
    3
    [4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24]
    1
    [0, 2, 4, 8, 10, 12]
    [4, 4] 70
    [32]
    20
    [18, 20, 22, 24, 26, 28, 30]
    6
    [8, 10, 12, 14, 16, 18, 20, 22, 24]
    2
    [2, 4, 6, 8, 10, 12, 14]
    1
    [0]
    [1, 1, 1, 5] 336
    [36]
    108
    [22, 24, 26, 28, 30, 32, 34]
    30
    [12, 14, 16, 18, 20, 22, 24, 26, 28]
    6
    [6, 8, 10, 12, 14, 16, 18]
    16
    [10, 14, 18, 22, 26, 30]
    3
    [2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22]
    1
    [0, 6, 12, 18, 24]
    [1, 2, 5] 168
    [34]
    51
    [20, 22, 24, 26, 28, 30, 32]
    14
    [10, 12, 14, 16, 18, 20, 22, 24, 26]
    3
    [4, 6, 8, 10, 12, 14, 16]
    5
    [8, 12, 16, 20, 24, 28]
    1
    [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
    [3, 5] 56
    [30]
    15
    [16, 18, 20, 22, 24, 26, 28]
    4
    [6, 8, 10, 12, 14, 16, 18, 20, 22]
    1
    [0, 2, 4, 6, 8, 10, 12]
    [1, 1, 6] 56
    [26]
    13
    [12, 14, 16, 18, 20, 22, 24]
    2
    [2, 4, 6, 8, 10, 12, 14, 16, 18]
    1
    [0, 4, 8, 12, 16, 20]
    [2, 6] 28
    [24]
    6
    [10, 12, 14, 16, 18, 20, 22]
    1
    [0, 2, 4, 6, 8, 10, 12, 14, 16]
    [1, 7] 8
    [14]
    1
    [0, 2, 4, 6, 8, 10, 12]
    [8] 1
    [0]




    Type A-hat — this is preliminary

    D5lc = (2)
    q+q^2+2*q^3+3*q^4+5*q^5+7*q^6+11*q^7+15*q^8+22*q^9+30*q^10
    D5lc = (1,1)
    1+2*q+5*q^2+10*q^3+20*q^4+36*q^5+65*q^6+110*q^7+185*q^8+300*q^9+481*q^10
    D5lc = (2,0)
    q+2*q^2+5*q^3+10*q^4+20*q^5+36*q^6+65*q^7+110*q^8+185*q^9+300*q^10
    D5lc = (3,-1)
    q^4+2*q^5+5*q^6+10*q^7+20*q^8+36*q^9+65*q^10+110*q^11+185*q^12+300*q^13
    D5lc = (4,-2)
    q^9+2*q^10+5*q^11+10*q^12+20*q^13+36*q^14+65*q^15
    D5lc = (5,-3)
    q^16+2*q^17+5*q^18+10*q^19+20*q^20+36*q^21+65*q^22+110*q^23+185*q^24+300*q^25
    D5lc = (1,1,0)
    1+3*q+9*q^2+22*q^3+51*q^4+108*q^5+221*q^6+429*q^7+810*q^8+1479*q^9+2640*q^10
    D5lc = (2,0,0)
    q+3*q^2+9*q^3+22*q^4+51*q^5+108*q^6+221*q^7+429*q^8+810*q^9+1479*q^10+2640*q^11
    D5lc = (2,1,-1)
    q^2+3*q^3+9*q^4+22*q^5+51*q^6+108*q^7+221*q^8+429*q^9+810*q^10+1479*q^11