# -*- GAP -*-

Delta19ii :=
rec(
  adjacencies := [ [ 5, 16 ], [ 5, 17 ], [ 5, 18 ], [ 5, 19 ], [ 1, 2, 3, 4 ], [ 10, 16 ], [ 10, 19 ], [ 10, 17 ], 
      [ 10, 18 ], [ 6, 7, 8, 9 ], [ 12 ], [ 11, 13 ], [ 12 ], [ 16, 19 ], [ 17, 18 ], [ 1, 6, 14 ], [ 2, 8, 15 ], 
      [ 3, 9, 15 ], [ 4, 7, 14 ] ],
  autGroup := Group( [ ( 2, 3)( 8, 9)(17,18), ( 1, 2)( 3, 4)( 6, 8)( 7, 9)(14,15)(16,17)(18,19), 
      ( 1, 6)( 2, 8)( 3, 9)( 4, 7)( 5,10), (11,13) ] ),
  forms := [ rec(
          forms := [ [ "[-4] + [-4] + [4] + [16]", "[-4] + U(4) + [16]" ], 
              [ "[-4] + [-4] + [4] + [64]", "[-4] + U(4) + [64]" ] ],
          h := 4 ), rec(
          forms := 
           [ [ "[-6, -2, -10] + [4] + [4]", "[-4] + [-4] + [2] + [28]", "[-4] + [-4] + [4] + [14]", 
                  "[-4] + [-2] + [4] + [28]", "[-4] + [-2] + [8, 4, 16]", "[-4] + U(4) + [14]", "[-2] + U(4) + [28]" 
                 ] ],
          h := 6 ), rec(
          forms := 
           [ [ "[-16] + [-4] + [4] + [12]", "[-16] + U(4) + [12]", "[-4] + [-4] + [4] + [48]", "[-4] + U(4) + [48]" ],
              [ "[-8, -4, -8] + [2] + [2]", "[-6] + U(4) + [2]" ], 
              [ "[-8, -4, -8] + [4] + [4]", "[-4] + [-4] + [4] + [12]", "[-4] + U(4) + [12]" ] ],
          h := 8 ), rec(
          forms := 
           [ [ "[-10] + [-4] + [4] + [4]", "[-10] + U(4) + [4]", "[-8, -4, -12] + [2] + [4]", 
                  "[-4] + [-4] + [4] + [10]", "[-4] + [-2] + [8, 4, 12]", "[-4] + U(4) + [10]" ] ],
          h := 10 ), rec(
          forms := [ [ "[-4] + [-4] + [4] + [32]", "[-4] + U(4) + [32]" ], 
              [ "[-8] + [-4] + [2] + [2]", "[-8] + [-2] + [2] + [4]", "[-4] + [-2] + [2] + [8]", 
                  "[-2] + [-2] + [4] + [8]" ], 
              [ "[-8] + [-4] + [4] + [4]", "[-8] + U(4) + [4]", "[-4] + [-4] + [4] + [8]", "[-4] + U(4) + [8]" ] ],
          h := 12 ), rec(
          forms := 
           [ [ "[-12] + [-4] + [2] + [4]", "[-12] + [-2] + [4] + [4]", "[-12] + U(4) + [2]", 
                  "[-4] + [-4] + [4] + [6]", "[-4] + [-2] + [8, 4, 8]", "[-4] + U(4) + [6]" ] ],
          h := 14 ), rec(
          forms := [ [ "[-4] + [-4] + [4] + [16]", "[-4] + U(4) + [16]" ], 
              [ "[-4] + [-4] + [4] + [4]", "[-4] + U(4) + [4]" ] ],
          h := 16 ), rec(
          forms := [ [ "[-4] + [-4] + [2] + [4]", "[-4] + [-2] + [4] + [4]", "[-4] + U(4) + [2]", "[-2] + U(4) + [4]" 
                 ] ],
          h := 18 ), rec(
          forms := [ [ "[-4] + [-4] + U(1) + [4]", "[-4] + U(1) + U(4)" ] ],
          h := 20 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6, 8, 10, 12, 14, 16, 18, 20 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 6,
      pencils := [ [ 4, 2 ], [ 3, 4 ], [ 2, 11 ], [ 1, 2 ] ],
      regular := false,
      transitive := -1 ),
  isGraph := true,
  isSimple := true,
  names := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ],
  order := 19,
  real := [ 6, 8, 10, 12, 14, 18, 20 ],
  representatives := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ],
  schreierVector := [ -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19 ] );

