# -*- GAP -*-

Delta32i :=
rec(
  adjacencies := [ [ 5, 21, 28, 31 ], [ 5, 22, 27, 32 ], [ 5, 23, 26, 30 ], [ 5, 24, 25, 29 ], [ 1, 2, 3, 4 ],
      [ 10, 21, 24, 32 ], [ 10, 28, 29, 30 ], [ 10, 22, 26, 31 ], [ 10, 23, 25, 27 ], [ 6, 7, 8, 9 ],
      [ 15, 21, 25, 26 ], [ 15, 27, 29, 31 ], [ 15, 22, 24, 30 ], [ 15, 23, 28, 32 ], [ 11, 12, 13, 14 ],
      [ 20, 21, 27, 30 ], [ 20, 26, 29, 32 ], [ 20, 22, 25, 28 ], [ 20, 23, 24, 31 ], [ 16, 17, 18, 19 ],
      [ 1, 6, 11, 16 ], [ 2, 8, 13, 18 ], [ 3, 9, 14, 19 ], [ 4, 6, 13, 19 ], [ 4, 9, 11, 18 ], [ 3, 8, 11, 17 ],
      [ 2, 9, 12, 16 ], [ 1, 7, 14, 18 ], [ 4, 7, 12, 17 ], [ 3, 7, 13, 16 ], [ 1, 8, 12, 19 ], [ 2, 6, 14, 17 ] ],
  autGroup := Group( [ ( 2, 4, 3)( 6,11,16)( 7,14,18)( 8,12,19)( 9,13,17)(10,15,20)(22,29,23)(24,26,27)(25,30,32),
      ( 2, 4)( 7, 8)(11,16)(12,18)(13,17)(14,19)(15,20)(22,29)(24,32)(25,27)(26,30)(28,31),
      ( 2, 3)( 6, 7)(11,18)(12,19)(13,17)(14,16)(15,20)(21,28)(22,26)(23,27)(24,29)(30,32),
      ( 2,16)( 3, 6)( 4,11)( 5,21)( 7,14)( 8,19)(10,23)(13,17)(15,29)(20,22)(24,26)(30,32),
      ( 1, 2)( 3, 4)( 6, 8)( 7, 9)(11,13)(12,14)(16,18)(17,19)(21,22)(23,29)(24,26)(25,30)(27,28)(31,32),
      ( 1, 5)( 2,21)( 3,28)( 4,31)( 6,27)( 7,23)( 8,25)( 9,10)(11,22)(12,24)(13,15)(14,30)(16,32)(17,20)(18,26)
        (19,29) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 4]" ] ],
          h := 16 ) ],
  group := Group( [ () ] ),
  h := [ 16 ],
  info := rec(
      bipartite := true,
      distance_regular := true,
      girth := 6,
      pencils := [ [ 4, 32 ] ],
      regular := 4,
      transitive := 3 ),
  isGraph := true,
  isSimple := true,
  names := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
      29, 30, 31, 32 ],
  order := 32,
  real := [  ],
  representatives := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,
      27, 28, 29, 30, 31, 32 ],
  schreierVector := [ -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21,
      -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32 ] );
