# -*- GAP -*-

Phi26 :=
rec(
  adjacencies := [ [ 2, 5, 18, 19, 20 ], [ 1, 3, 21 ], [ 2, 4, 22, 23 ], [ 3, 5, 24, 25 ], [ 1, 4, 26 ], 
      [ 7, 10, 18, 22 ], [ 6, 8, 19, 24 ], [ 7, 9, 21, 23 ], [ 8, 10, 20 ], [ 6, 9, 25, 26 ], [ 12, 15, 18, 25 ], 
      [ 11, 13, 19, 23 ], [ 12, 14, 24, 26 ], [ 13, 15, 20 ], [ 11, 14, 21, 22 ], [ 20, 22, 24 ], [ 20, 23, 25 ], 
      [ 1, 6, 11 ], [ 1, 7, 12 ], [ 1, 9, 14, 16, 17 ], [ 2, 8, 15, 26 ], [ 3, 6, 15, 16 ], [ 3, 8, 12, 17 ], 
      [ 4, 7, 13, 16 ], [ 4, 10, 11, 17 ], [ 5, 10, 13, 21 ] ],
  autGroup := Group( [ ( 6,12)( 7,11)( 8,15)( 9,14)(10,13)(16,17)(18,19)(22,23)(24,25), 
      ( 3,21)( 4,26)( 6, 7)( 8,22)( 9,16)(10,24)(11,12)(13,25)(14,17)(15,23)(18,19), 
      ( 2, 5)( 3, 4)( 6, 7)( 8,10)(11,12)(13,15)(18,19)(21,26)(22,24)(23,25), ( 1,20)( 2, 9)( 3,10)( 4,25)( 5,17)
        ( 6,22)( 7,15)( 8,21)(11,24)(12,13)(14,19)(16,18)(23,26) ] ),
  forms := [ rec(
          forms := [ [ "[-30] + [4, 1, 4]", "[-6] + [10, 5, 10]" ] ],
          h := 4 ), rec(
          forms := [ [ "[-120] + [2, 1, 2]" ] ],
          h := 6 ), rec(
          forms := [ [ "U(3) + [30]" ] ],
          h := 8 ), rec(
          forms := [ [  ] ],
          h := 10 ), rec(
          forms := [ [ "[-30] + [2, 1, 2]", "[-6] + [2, 1, 8]" ] ],
          h := 12 ), rec(
          forms := [ [ "[-2, -1, -8] + [2, 1, 2]", "[-2, -1, -2] + [2, 1, 8]" ] ],
          h := 14 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6, 8, 10, 12, 14 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 5,
      pencils := [ [ 5, 2 ], [ 4, 16 ], [ 3, 8 ] ],
      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, 20, 21, 22, 23, 24, 25, 26 ],
  order := 26,
  real := [ 6, 12, 14 ],
  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 ]
   ,
  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 ] );

