# -*- GAP -*-

Theta19i :=
rec(
  adjacencies := [ [ 2, 4, 14, 15, 16, 17 ], [ 1, 3, 13 ], [ 2, 4, 18, 19 ], [ 1, 3, 13 ], [ 6, 8, 14, 15, 18, 19 ], 
      [ 5, 7, 13 ], [ 6, 8, 16, 17 ], [ 5, 7, 13 ], [ 10, 12, 14, 15 ], [ 9, 11, 13 ], [ 10, 12, 16, 17, 18, 19 ], 
      [ 9, 11, 13 ], [ 2, 4, 6, 8, 10, 12 ], [ 1, 5, 9 ], [ 1, 5, 9 ], [ 1, 7, 11 ], [ 1, 7, 11 ], [ 3, 5, 11 ], 
      [ 3, 5, 11 ] ],
  autGroup := Group( [ (14,15), (16,17), (10,12), (6,8), ( 5,11)( 6,10)( 7, 9)( 8,12)(14,16)(15,17), 
      ( 1,13)( 6,14)( 7, 9)( 8,15)(10,16)(12,17), (18,19), (2,4), ( 1, 5)( 2, 6)( 3, 7)( 4, 8)(16,18)(17,19) ] ),
  forms := [ rec(
          forms := [ fail ],
          h := 4 ), rec(
          forms := [ fail ],
          h := 8 ) ],
  group := Group( [ () ] ),
  h := [ 4, 8 ],
  info := rec(
      bipartite := true,
      distance_regular := false,
      girth := 4,
      pencils := [ [ 6, 4 ], [ 4, 3 ], [ 3, 12 ] ],
      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 := [ 4, 8 ],
  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 ] );

