# -*- GAP -*-

Psi42 :=
rec(
  adjacencies := [ [ 2, 4, 6, 11, 12, 31, 35, 40, 42 ], [ 1, 5, 9, 13, 14, 15, 18, 22, 27 ], 
      [ 4, 7, 8, 14, 15, 18, 29, 33, 38 ], [ 1, 3, 5, 9, 17, 19, 21, 28, 38 ], [ 2, 4, 6, 7, 23, 25, 32, 36, 41 ], 
      [ 1, 5, 9, 10, 16, 20, 26, 29, 33 ], [ 3, 5, 10, 12, 23, 31, 37, 39, 42 ], [ 3, 9, 10, 11, 25, 32, 34, 35, 40 ],
      [ 2, 4, 6, 8, 24, 30, 34, 37, 39 ], [ 6, 7, 8, 13, 16, 17, 19, 22, 27 ], [ 1, 8, 13, 14, 19, 20, 21, 23, 29 ], 
      [ 1, 7, 13, 14, 17, 26, 28, 33, 34 ], [ 2, 10, 11, 12, 24, 32, 37, 38, 41 ], 
      [ 2, 3, 11, 12, 16, 25, 30, 36, 39 ], [ 2, 3, 16, 17, 20, 32, 35, 41, 42 ], 
      [ 6, 10, 14, 15, 18, 21, 23, 28, 34 ], [ 4, 10, 12, 15, 20, 25, 30, 37, 40 ], 
      [ 2, 3, 16, 19, 24, 26, 31, 37, 40 ], [ 4, 10, 11, 18, 26, 32, 36, 39, 42 ], 
      [ 6, 11, 15, 17, 24, 31, 36, 38, 39 ], [ 4, 11, 16, 22, 30, 33, 37, 41, 42 ], 
      [ 2, 10, 21, 25, 31, 33, 36, 38, 40 ], [ 5, 7, 11, 16, 24, 30, 35, 38, 40 ], 
      [ 9, 13, 18, 20, 23, 25, 28, 33, 42 ], [ 5, 8, 14, 17, 22, 24, 26, 29, 42 ], 
      [ 6, 12, 18, 19, 25, 30, 35, 38, 41 ], [ 2, 10, 28, 29, 30, 35, 38, 39, 42 ], 
      [ 4, 12, 16, 24, 27, 29, 32, 36, 40 ], [ 3, 6, 11, 25, 27, 28, 31, 37, 41 ], 
      [ 9, 14, 17, 21, 23, 26, 27, 31, 32 ], [ 1, 7, 18, 20, 22, 29, 30, 32, 34 ], 
      [ 5, 8, 13, 15, 19, 28, 30, 31, 33 ], [ 3, 6, 12, 21, 22, 24, 32, 35, 39 ], [ 8, 9, 12, 16, 31, 36, 38, 41, 42 ]
        , [ 1, 8, 15, 23, 26, 27, 33, 36, 37 ], [ 5, 14, 19, 20, 22, 28, 34, 35, 37 ], 
      [ 7, 9, 13, 17, 18, 21, 29, 35, 36 ], [ 3, 4, 13, 20, 22, 23, 26, 27, 34 ], [ 7, 9, 14, 19, 20, 27, 33, 40, 41 ]
        , [ 1, 8, 17, 18, 22, 23, 28, 39, 41 ], [ 5, 13, 15, 21, 26, 29, 34, 39, 40 ], 
      [ 1, 7, 15, 19, 21, 24, 25, 27, 34 ] ],
  autGroup := Group( [ ( 3,38)( 5, 9)( 7,34)( 8,23)(10,16)(13,14)(15,27)(17,28)(18,22)(19,21)(20,29)(24,25)(26,33)
        (30,32)(36,37)(39,41), ( 3,10)( 4, 6)(13,14)(15,22)(16,38)(17,33)(18,27)(19,29)(20,21)(24,30)(25,32)(26,28)
        (31,42)(35,40)(36,41)(37,39), ( 3,30,36)( 4,31,35)( 5,18,27)( 6,40,42)( 7,26,28)( 8,21,20)( 9,22,15)(10,41,24)
        (16,39,25)(17,34,33)(19,29,23)(32,37,38), ( 5, 9)( 7, 8)(11,12)(15,18)(17,19)(20,26)(21,28)(22,27)(23,34)
        (24,41)(25,39)(29,33)(30,36)(31,35)(32,37)(40,42), ( 2,11)( 5,21)( 6,42)( 7,33)( 8,18)( 9,19)(10,24)(15,29)
        (16,25)(17,28)(20,27)(22,23)(26,34)(30,36)(31,35)(32,37), ( 1, 2)( 3, 7)( 4, 5)( 6, 9)( 8,10)(11,13)(12,14)
        (15,42)(16,34)(17,25)(18,31)(19,32)(20,24)(21,41)(22,40)(23,38)(26,30)(27,35)(28,36)(29,37)(33,39) ] ),
  forms := [ rec(
          forms := [ [ "[-18] + [2, 1, 2]" ] ],
          h := 6 ) ],
  group := Group( [ () ] ),
  h := [ 6 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 9, 42 ] ],
      regular := 9,
      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, 27, 28, 
      29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42 ],
  order := 42,
  real := [ 6 ],
  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, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42 ],
  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, -33, -34, -35, -36, -37, -38, -39, -40, -41, -42 ] );

