Summary table.
Each entry shows the following:
  X  ... there exist sum matrices
  D  ... there exist only sum matrices with GCD of all elements >1
  .  ... there exist no sum matrices
Ranges are: n=2..100, b=2..100.

       000000001111111111222222222233333333334444444444555555555566666666667777777777888888888899999999990
n:     234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890

b=  2: ..XX...X.X..X.XX.X...XX....XX.XXXX...X.X..X..X.XX..XX....X.XX.XX.X.X.X..X..X.X...XX....X..X.XX..XX.
b=  3: X.XX..XX.XXXX..X.XX..XXXXX.X..X.XX..XXXX..X..X.XXX.XXXX..X..X.XX..XX.XX.X..X.XXX.XX.X..XX.X.XX.XXX.
b=  4: ..XX...X.X..X.XX.X...XX....XX.XXXX...X.X..X..X.XX..XX....X.XX.XX.X.X.X..X..X.X...XX....X..X.XX..XX.
b=  5: ..XX...X.XX.X..X.X...XXX...XX...XX..XX.X..X..X.X.X.XX....X.XX.XX...X.X..X..X.X...XX....XX.X.XX...X.
b=  6: D.XX..DX.XDDX.DX.XD..XXDDD.XD.XDXX..DXDX..X..X.XXD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.X.XX.DXX.
b=  7: .XXX.X.X.X..XX.X.XX..XX..X.X.X..XX...X.XXXX..X.X.X.XXXX..X..XXXX.X.X.X..XX.X.X...XXX.X.X.X..XX...X.
b=  8: ..XX...X.X..X.XX.X...XX....XX.XXXX...X.X..X..X.XX..XX....X.XX.XX.X.X.X..X..X.X...XX....X..X.XX..XX.
b=  9: D.XX..XX.XDDX..X.XD..XXDXD.X..D.XX..XXDX..X..X.XDD.XXDD..X..X.XX..DX.XD.X..X.XXD.XX.D..XD.D.XX.DXX.
b= 10: ..XX...X.XD.X.DX.X...XXD...XX.DDXX..DX.X..X..X.XDD.XX....X.XX.XX.D.X.X..X..X.X...XX....XD.X.XX..DX.
b= 11: ..XX...X.X..X..X.X...XX....X..X.XX...X.X..X..X.X...XX....XX...XX...X.X..X..X.X...XX....X....XX..XX.
b= 12: D.XX..DX.XDDX.DX.XD..XXDDD.XD.XDXX..DXDX..X..X.XXD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.X.XX.DXX.
b= 13: ..XXX..X.X.XX..X.XX..XX..X.X....XX..XX.X..X..XXX...XXX...X..X.XX...X.X..X.XX.X...XX....XX...XX.X.X.
b= 14: .DXX.D.X.X..XDDX.XD..XX..D.XDDDDXX...X.XDDX..X.XDD.XXDD..X.DXDXX.X.X.X..XD.X.X...XXD.D.X.DD.XX..DX.
b= 15: D.XX..DX.XXDX..X.XD..XXXDD.XD.D.XX..XXDX..X..X.XDX.XXDD..X.DX.XX..DX.XD.X..X.XDD.XX.D..XX.X.XX.DDX.
b= 16: ..XX...X.X..X.DX.X...XX....XD.DXXX...X.X..X..X.XD..XX....X.XD.XX.X.X.X..X..X.X...XX....X..D.XX..DX.
b= 17: ..XX.XXX.X..XX.X.X...XX.X.XX.X..XX...X.X..X..X.XX..XXX.X.X..XXXX...X.X..X..X.XX..XX.XX.X....XX..XX.
b= 18: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b= 19: ..XX..XX.X..X..X.X...XX.X..X....XX...X.X..X..X.X...XX.X..X..X.XX...X.X..X..X.XX..XX....X....XX..XX.
b= 20: ..XX...X.XD.X.DX.X...XXD...XX.DDXX..DX.X..X..X.XDD.XX....X.XX.XX.D.X.X..X..X.X...XX....XD.X.XX..DX.
b= 21: DDXX.DDX.XDDXD.X.XX..XXDDX.X.DD.XX..DXDXDDX..X.XDX.XXXX..X..XDXX.DDX.XD.XD.X.XDD.XXDDD.XDDD.XX.DDX.
b= 22: ..XX...X.X..X.DX.X...XX....XD.XDXX...X.X..X..X.XD..XX....XDDD.XX.D.X.X..X..X.X...XX....X..D.XX..XX.
b= 23: ..XX...XXX..X..X.X.X.XX....X..X.XX...X.X.XX..X.X..XXX....X....XX..XX.X..X.XX.X...XX..X.X....XX..XX.
b= 24: D.XX..DX.XDDX.DX.XD..XXDDD.XD.XDXX..DXDX..X..X.XXD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.X.XX.DXX.
b= 25: ..XX...X.XD.X..X.X...XXD...XD...XX..DX.X..X..X.X.D.XX....X.DD.XX...X.X..X..X.X...XX....XD.D.XX...X.
b= 26: ..XXD..X.X.DX.DX.XD..XX..D.XD.DDXX..DX.X..X..XDXD..XXD...X.DX.XX.D.X.X..X.DX.X...XX....XD.D.XX.DDX.
b= 27: D.XX..XX.XDDX..X.XD..XXDXD.X..D.XX..XXDX..X..X.XDD.XXDD..X..X.XX..DX.XD.X..X.XXD.XX.D..XD.D.XX.DXX.
b= 28: .DXX.D.X.X..XDDX.XD..XX..D.XDDDDXX...X.XDDX..X.XDD.XXDD..X.DXDXX.X.X.X..XD.X.X...XXD.D.X.DD.XX..DX.
b= 29: ..XX...X.X.XX..X.X...XX..X.X....XX...X.X..X..X.X...XXX...X....XX...X.X..X..X.X...XX.X..X....XX.X.X.
b= 30: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.X.XX.DDX.
b= 31: ..XX...X.X..XX.X.X...XX....X.X..XXX..X.X..X..X.X...XX....X...XXX...X.X.XX..X.X...XX....X..X.XX...X.
b= 32: ..XX...X.X..X.DX.X...XX....XD.DXXX...X.X..X..X.XD..XX....X.XD.XX.X.X.X..X..X.X...XX....X..D.XX..DX.
b= 33: D.XX..DX.XDDX..X.XD..XXDDD.X..X.XX..DXDX..X..X.XDD.XXDD..XD.D.XX..DX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b= 34: ..XX.DDX.X..XDDX.X...XX.D.DXDDDDXX...X.X..X..X.XX..XXD.D.X.DXDXX.D.X.X..X..X.XD..XX.DD.X..D.XX..XX.
b= 35: .DXX.D.X.XD.XD.X.XD..XXD.D.XDD..XX..DX.XDDX..X.X.X.XXDD..X.DXDXX.D.X.X..XD.X.X...XXD.D.XDDD.XX...X.
b= 36: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b= 37: ..XX...X.X..X..XXX...XX....X....XX.X.X.X..X..X.X...XX.X..X....XX...X.X..XX.X.X...XX....X....XX...X.
b= 38: ..XX..DX.X..X.DX.X...XX.D..XD.DDXX...X.X..X..X.XD..XX.D..X.DX.XX.D.X.X..X..X.XD..XX....X..D.XX..XX.
b= 39: D.XXD.DX.XDXX..X.XX..XXDDX.X..D.XX..XXDX..X..XDXDD.XXXD..X..X.XX..DX.XD.X.DX.XDD.XX.D..XX.D.XX.XDX.
b= 40: ..XX...X.XD.X.DX.X...XXD...XX.DDXX..DX.X..X..X.XDD.XX....X.XX.XX.D.X.X..X..X.X...XX....XD.X.XX..DX.
b= 41: ..XX...X.X..X..X.XX..XX....X....XX...X.X..X..X.X...XXX...X..X.XX...X.X..X..X.X...XX....X....XX...X.
b= 42: DDXX.DDX.XDDXDDX.XD..XXDDD.XDDDDXX..DXDXDDX..X.XDD.XXDD..X.DXDXX.DDX.XD.XD.X.XDD.XXDDD.XDDD.XX.DDX.
b= 43: ..XX...XXX..X..X.XXX.XX....X..X.XX...X.X.XX..X.X...XX....X..X.XX...X.X..X.XX.X...XX..X.X....XX..XX.
b= 44: ..XX...X.X..X.DX.X...XX....XD.XDXX...X.X..X..X.XD..XX....XDDD.XX.D.X.X..X..X.X...XX....X..D.XX..XX.
b= 45: D.XX..DX.XDDX..X.XD..XXDDD.XD.D.XX..XXDX..X..X.XDD.XXDD..X.DX.XX..DX.XD.X..X.XDD.XX.D..XD.D.XX.DDX.
b= 46: ..XX...XDX..X.DX.X.D.XX....XD.XDXX...X.X.DX..X.XD.DXX....X.DD.XX.DDX.X..X.DX.X...XX..D.X..D.XX..XX.
b= 47: ..XX...X.X..X..X.X..XXX....X....XX...X.X..XX.X.X...XX....X....XX..XX.X..X..X.X...XX....X.X..XX...X.
b= 48: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DD.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DDX.
b= 49: .DXX.D.X.X..XD.X.XX..XX..X.X.D..XX...X.XDDX..X.X.D.XXXD..X..XDXX.D.X.X..XD.X.X...XXD.D.X.D..XX...X.
b= 50: ..XX...X.XD.X.DX.X...XXD...XD.DDXX..DX.X..X..X.XDD.XX....X.DD.XX.D.X.X..X..X.X...XX....XD.D.XX..DX.
b= 51: D.XX.DXX.XDDXD.X.XD..XXDXDDX.DD.XX..DXDX..X..X.XXD.XXXDD.X..XDXX..DX.XD.X..X.XXD.XX.XD.XD.D.XX.DXX.
b= 52: ..XXD..X.X.DX.DX.XD..XX..D.XD.DDXX..DX.X..X..XDXD..XXD...X.DX.XX.D.X.X..X.DX.X...XX....XD.D.XX.DDX.
b= 53: ..XX...X.XX.X..X.X...XXXX..X....XX..XX.X..X..X.X.X.XX....X....XX...X.X..X..X.XX..XX....XX...XX...X.
b= 54: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b= 55: ..XX...X.XD.X..X.X...XXD...XD.D.XX..DX.X..X..X.X.D.XX....XDDD.XX...X.X..X..X.X...XX....XD.D.XX..DX.
b= 56: .DXX.D.X.X..XDDX.XD..XX..D.XDDDDXX...X.XDDX..X.XDD.XXDD..X.DXDXX.X.X.X..XD.X.X...XXD.D.X.DD.XX..DX.
b= 57: D.XX..XX.XDDX..X.XD..XXDXD.X..D.XX..DXDX..X..X.XDD.XXDX..X..X.XX..DX.XD.X..X.XXD.XX.D..XD.D.XX.DXX.
b= 58: ..XX...X.X.DX.DX.X...XX..D.XD.DDXX...X.X..X..X.XD..XXD...X.DD.XX.D.X.X..X..X.X...XX.D..X..D.XX.DDX.
b= 59: ..XX...X.X..X..X.X...XX...XX....XX...X.X..X..X.X...XX..X.X....XX...X.X..X..X.X...XX.X..X....XX...X.
b= 60: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.X.XX.DDX.
b= 61: ..XX...X.X..X..X.X...XX....XX...XX...X.X..X..X.X...XX....X.X..XX...X.X..X..X.X...XX....X..X.XX...X.
b= 62: ..XX...X.X..XDDX.X...XX....XDDDDXXD..X.X..X..X.XD..XX....X.DDDXX.D.X.X.DX..X.X...XX....X..X.XX..DX.
b= 63: DDXX.DDX.XDDXD.X.XD..XXDDD.X.DD.XX..DXDXDDX..X.XDD.XXDD..X..XDXX.DDX.XD.XD.X.XDD.XXDDD.XDDD.XX.DDX.
b= 64: ..XX...X.X..X.DX.X...XX....XD.DDXX...X.X..X..X.XD..XX....X.DD.XX.X.X.X..X..X.X...XX....X..D.XX..DX.
b= 65: ..XXD..X.XDDX..X.XD..XXD.D.XD...XX..XX.X..X..XDX.D.XXD...X.DX.XX...X.X..X.DX.X...XX....XX.D.XX.D.X.
b= 66: D.XX..DX.XDDX.DX.XD..XXDDD.XD.XDXX..DXDX..X..X.XDD.XXDD..XDDD.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b= 67: ..XX...X.X..X.XX.X...XX....X..XXXX...X.X.XX..X.XX..XX....X....XX.X.X.X..X..X.X...XX..X.X....XX..XX.
b= 68: ..XX.DDX.X..XDDX.X...XX.D.DXDDDDXX...X.X..X..X.XX..XXD.D.X.DXDXX.D.X.X..X..X.XD..XX.DD.X..D.XX..XX.
b= 69: D.XX..DXDXDDX..X.XDD.XXDDD.X..X.XX..DXDX.DX..X.XDDDXXDD..X..D.XX..XX.XD.X.DX.XDD.XX.DD.XD.D.XX.DXX.
b= 70: .DXX.D.X.XD.XDDX.XD..XXD.D.XDDDDXX..DX.XDDX..X.XDD.XXDD..X.DXDXX.D.X.X..XD.X.X...XXD.D.XDDD.XX..DX.
b= 71: ..XX...X.X..X..X.X...XX....X....XX...X.X..X..X.X...XX....X....XX...X.X..X..X.X...XX....X....XX...X.
b= 72: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b= 73: ..XX...X.X..X..X.X...XX....X....XXX..X.X..X..X.X...XX....X....XX...X.X.XX..X.X...XX....X....XX...X.
b= 74: ..XX...X.X..X.DXDX...XX....XD.DDXX.D.X.X..X..X.XD..XX.D..X.DD.XX.D.X.X..XD.X.X...XX....X..D.XX..DX.
b= 75: D.XX..DX.XDDX..X.XD..XXDDD.XD.D.XX..DXDX..X..X.XDD.XXDD..X.DD.XX..DX.XD.X..X.XDD.XX.D..XD.D.XX.DDX.
b= 76: ..XX..DX.X..X.DX.X...XX.D..XD.DDXX...X.X..X..X.XD..XX.D..X.DX.XX.D.X.X..X..X.XD..XX....X..D.XX..XX.
b= 77: .DXX.D.X.X..XD.X.XD..XX..D.X.DD.XX...X.XDDX..X.X.D.XXDD..XD.DDXX.D.X.X..XD.X.X...XXD.D.X.D..XX..DX.
b= 78: D.XXD.DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..XDXDD.XXDD..X.DX.XX.DDX.XD.X.DX.XDD.XX.D..XD.D.XX.DDX.
b= 79: ..XX...X.XX.X..X.X...XXX...X....XX..XX.X..X..X.X.X.XX....X....XX...X.X..X..X.X...XX....XX...XX...X.
b= 80: ..XX...X.XD.X.DX.X...XXD...XD.DDXX..DX.X..X..X.XDD.XX....X.XD.XX.D.X.X..X..X.X...XX....XD.D.XX..DX.
b= 81: D.XX..DX.XDDX..X.XD..XXDXD.X..D.XX..DXDX..X..X.XDD.XXDD..X..D.XX..DX.XD.X..X.XXD.XX.D..XD.D.XX.DDX.
b= 82: ..XX...X.X..X.DX.XD..XX....XD.DDXX...X.X..X..X.XD..XXD...X.DX.XX.D.X.X..X..X.X...XX....X..D.XX..DX.
b= 83: ..XX...X.X..X..X.XX..XX....X....XX...XXX..X..X.X...XX....X..X.XX...X.X..X..X.X.X.XX....X....XX...X.
b= 84: DDXX.DDX.XDDXDDX.XD..XXDDD.XDDDDXX..DXDXDDX..X.XDD.XXDD..X.DXDXX.DDX.XD.XD.X.XDD.XXDDD.XDDD.XX.DDX.
b= 85: ..XX.DDX.XD.XD.X.X...XXDD.DXDD..XX..DX.X..X..X.XDD.XXD.D.X.DXDXX...X.X..X..X.XD..XX.DD.XD.D.XX..DX.
b= 86: ..XX...XDX..X.DX.XDD.XX....XD.XDXX...X.X.DX..X.XD..XX....X.DX.XX.D.X.X..X.DX.X...XX..D.X..D.XX..XX.
b= 87: D.XX..DX.XDXX..X.XD..XXDDX.X..D.XX..DXDX..X..X.XDD.XXXD..X..D.XX..DX.XD.X..X.XDD.XX.X..XD.D.XX.XDX.
b= 88: ..XX...X.X..X.DX.X...XX....XD.XDXX...X.X..X..X.XD..XX....XDDD.XX.D.X.X..X..X.X...XX....X..D.XX..XX.
b= 89: ..XX...X.X..X..X.X.X.XX....X....XX...X.X.XX..X.X...XX....X....XX...X.X..X..X.X...XX..X.X....XX..XX.
b= 90: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DX.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DDX.
b= 91: .DXXDD.X.X.DXD.X.XX..XX..X.X.D..XX..DX.XDDX..XDX.D.XXXD..X..XDXX.D.X.X..XDDX.X...XXD.D.XDD..XX.D.X.
b= 92: ..XX...XDX..X.DX.X.D.XX....XD.XDXX...X.X.DX..X.XD.DXX....X.DD.XX.DDX.X..X.DX.X...XX..D.X..D.XX..XX.
b= 93: D.XX..DX.XDDXD.X.XD..XXDDD.X.DD.XXD.DXDX..X..X.XDD.XXDD..X..DDXX..DX.XDDX..X.XDD.XX.D..XD.X.XX.DDX.
b= 94: ..XX...X.X..X.DX.X..DXX....XD.DDXX...X.X..XD.X.XD..XX....X.DD.XX.DDX.X..X..X.X...XX....X.DD.XX..DX.
b= 95: ..XX..DX.XD.X..X.X...XXDD..XD...XX..DX.X..X..X.X.D.XX.D..X.DX.XX...X.X..X..X.XD..XX....XD.D.XX..DX.
b= 96: D.XX..DX.XDDX.DX.XD..XXDDD.XD.DDXX..DXDX..X..X.XDD.XXDD..X.DD.XX.DDX.XD.X..X.XDD.XX.D..XD.D.XX.DDX.
b= 97: ..XX...X.X..X..X.X...XX....X....XX...X.X..X..XXX...XX....X....XX...X.X..X..X.X...XX....X....XX.X.X.
b= 98: .DXX.D.X.X..XDDX.XD..XX..D.XDDDDXX...X.XDDX..X.XDD.XXDD..X.DXDXX.D.X.X..XD.X.X...XXD.D.X.DD.XX..DX.
b= 99: D.XX..DX.XDDX..X.XD..XXDDD.X..D.XX..DXDX..X..X.XDD.XXDD..XD.D.XX..DX.XD.X..X.XDD.XX.D..XD.D.XX.DXX.
b=100: ..XX...X.XD.X.DX.X...XXD...XD.DDXX..DX.X..X..X.XDD.XX....X.DD.XX.D.X.X..X..X.X...XX....XD.D.XX..DX.