# -*- GAP -*-

X60ii :=
rec(
  adjacencies := [ [ 7, 14, 18, 21, 24, 26, 28, 33, 35, 36, 38, 40, 41, 43, 46, 49, 52 ], 
      [ 6, 13, 17, 23, 24, 26, 27, 28, 32, 35, 37, 38, 43, 46, 49, 54, 57 ], 
      [ 4, 12, 15, 23, 24, 27, 31, 40, 42, 43, 46, 51, 52, 55, 57, 58, 59 ], 
      [ 3, 12, 17, 18, 19, 20, 22, 25, 26, 29, 30, 38, 41, 43, 47, 49, 53 ], 
      [ 16, 18, 19, 23, 28, 30, 31, 32, 36, 41, 42, 43, 47, 49, 54, 55, 57 ], 
      [ 2, 13, 15, 19, 25, 33, 39, 40, 41, 42, 43, 47, 50, 52, 55, 56, 58 ], 
      [ 1, 14, 15, 20, 25, 27, 30, 32, 39, 42, 43, 47, 50, 53, 57, 58, 59 ], 
      [ 19, 20, 24, 26, 28, 29, 31, 32, 33, 34, 40, 41, 43, 47, 50, 54, 58 ], 
      [ 18, 20, 22, 23, 24, 27, 31, 32, 35, 37, 41, 43, 48, 49, 52, 55, 58 ], 
      [ 15, 16, 19, 20, 23, 26, 30, 32, 33, 34, 38, 42, 43, 48, 49, 53, 58 ], 
      [ 17, 19, 22, 24, 30, 31, 33, 35, 36, 43, 48, 49, 54, 56, 57, 58, 59 ], 
      [ 3, 4, 16, 21, 28, 32, 33, 34, 35, 36, 37, 39, 43, 48, 50, 54, 56 ], 
      [ 2, 6, 16, 18, 20, 21, 22, 29, 30, 31, 34, 36, 43, 48, 51, 53, 59 ], 
      [ 1, 7, 16, 17, 19, 22, 23, 29, 31, 34, 37, 43, 48, 51, 54, 55, 56 ], 
      [ 3, 6, 7, 10, 22, 28, 31, 34, 35, 36, 37, 41, 44, 46, 49, 54, 56 ], 
      [ 5, 10, 12, 13, 14, 24, 25, 35, 38, 40, 41, 44, 46, 50, 52, 57, 58 ], 
      [ 2, 4, 11, 14, 32, 34, 36, 39, 40, 41, 42, 44, 46, 50, 53, 55, 58 ], 
      [ 1, 4, 5, 9, 13, 33, 34, 37, 39, 42, 44, 46, 50, 54, 56, 58, 59 ], 
      [ 4, 5, 6, 8, 10, 11, 14, 21, 27, 35, 37, 39, 44, 46, 51, 52, 59 ], 
      [ 4, 7, 8, 9, 10, 13, 35, 36, 39, 40, 44, 46, 51, 54, 55, 56, 57 ], 
      [ 1, 12, 13, 19, 27, 31, 32, 40, 42, 44, 47, 49, 53, 55, 56, 57, 58 ], 
      [ 4, 9, 11, 13, 14, 15, 28, 32, 33, 38, 40, 42, 44, 47, 50, 52, 57 ], 
      [ 2, 3, 5, 9, 10, 14, 29, 33, 36, 39, 40, 44, 47, 50, 53, 56, 59 ], 
      [ 1, 2, 3, 8, 9, 11, 16, 25, 30, 34, 39, 42, 44, 47, 51, 53, 56 ], 
      [ 4, 6, 7, 16, 24, 29, 31, 32, 33, 36, 37, 44, 48, 49, 54, 55, 59 ], 
      [ 1, 2, 4, 8, 10, 31, 36, 37, 42, 44, 48, 50, 52, 55, 56, 57, 59 ], 
      [ 2, 3, 7, 9, 19, 21, 29, 30, 33, 34, 36, 38, 41, 44, 48, 50, 54 ], 
      [ 1, 2, 5, 8, 12, 15, 22, 29, 30, 39, 44, 48, 51, 53, 55, 58, 59 ], 
      [ 4, 8, 13, 14, 23, 25, 27, 28, 35, 42, 45, 46, 49, 52, 56, 57, 58 ], 
      [ 4, 5, 7, 10, 11, 13, 24, 27, 28, 37, 40, 45, 46, 50, 52, 55, 56 ], 
      [ 3, 5, 8, 9, 11, 13, 14, 15, 21, 25, 26, 38, 39, 45, 46, 50, 53 ], 
      [ 2, 5, 7, 8, 9, 10, 12, 17, 21, 22, 25, 45, 46, 51, 52, 56, 59 ], 
      [ 1, 6, 8, 10, 11, 12, 18, 22, 23, 25, 27, 45, 46, 51, 53, 55, 57 ], 
      [ 8, 10, 12, 13, 14, 15, 17, 18, 24, 27, 45, 47, 49, 52, 55, 57, 59 ], 
      [ 1, 2, 9, 11, 12, 15, 16, 19, 20, 29, 42, 45, 47, 50, 53, 55, 59 ], 
      [ 1, 5, 11, 12, 13, 15, 17, 20, 23, 25, 26, 27, 45, 47, 51, 52, 58 ], 
      [ 2, 9, 12, 14, 15, 18, 19, 25, 26, 30, 40, 45, 47, 51, 53, 57, 58 ], 
      [ 1, 2, 4, 10, 16, 22, 27, 31, 39, 45, 47, 51, 54, 55, 56, 58, 59 ], 
      [ 6, 7, 12, 17, 18, 19, 20, 23, 24, 28, 31, 38, 45, 48, 49, 52, 57 ], 
      [ 1, 3, 6, 8, 16, 17, 20, 21, 22, 23, 30, 37, 45, 48, 49, 54, 59 ], 
      [ 1, 4, 5, 6, 8, 9, 15, 16, 17, 27, 45, 48, 51, 53, 56, 57, 59 ], 
      [ 3, 5, 6, 7, 10, 17, 18, 21, 22, 24, 26, 29, 35, 45, 48, 51, 54 ], 
      [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 44, 45, 60 ], 
      [ 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 43, 45, 60 ], 
      [ 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 60 ], 
      [ 1, 2, 3, 15, 16, 17, 18, 19, 20, 29, 30, 31, 32, 33, 47, 48, 60 ], 
      [ 4, 5, 6, 7, 8, 21, 22, 23, 24, 34, 35, 36, 37, 38, 46, 48, 60 ], 
      [ 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 39, 40, 41, 42, 46, 47, 60 ], 
      [ 1, 2, 4, 5, 9, 10, 11, 15, 21, 25, 29, 34, 39, 40, 50, 51, 60 ], 
      [ 6, 7, 8, 12, 16, 17, 18, 22, 23, 26, 27, 30, 31, 35, 49, 51, 60 ], 
      [ 3, 13, 14, 19, 20, 24, 28, 32, 33, 36, 37, 38, 41, 42, 49, 50, 60 ], 
      [ 1, 3, 6, 9, 16, 19, 22, 26, 29, 30, 32, 34, 36, 39, 53, 54, 60 ], 
      [ 4, 7, 10, 13, 17, 21, 23, 24, 28, 31, 33, 35, 37, 41, 52, 54, 60 ], 
      [ 2, 5, 8, 11, 12, 14, 15, 18, 20, 25, 27, 38, 40, 42, 52, 53, 60 ], 
      [ 3, 5, 6, 9, 14, 17, 20, 21, 25, 26, 28, 30, 33, 34, 35, 38, 60 ], 
      [ 6, 11, 12, 14, 15, 18, 20, 21, 23, 24, 26, 29, 30, 32, 38, 41, 60 ], 
      [ 2, 3, 5, 7, 11, 16, 20, 21, 22, 26, 29, 33, 34, 37, 39, 41, 60 ], 
      [ 3, 6, 7, 8, 9, 10, 11, 16, 17, 18, 21, 28, 29, 36, 37, 38, 60 ], 
      [ 3, 7, 11, 13, 18, 19, 23, 25, 26, 28, 32, 34, 35, 38, 40, 41, 60 ], 
      [ 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ] ],
  autGroup := Group( [ ( 2,53)( 3,19)( 4,27)( 5,58)( 6,31)( 7,49)( 8,55)( 9,47)(10,57)(11,42)(12,44)(14,40)(15,39)
        (17,54)(18,36)(20,34)(21,43)(22,48)(23,37)(24,35)(25,50)(26,33)(29,30)(32,60)(38,41)(45,56)(46,52)(51,59), 
      ( 2,59,53,51)( 3,54,19,17)( 4,42,27,11)( 5,44,58,12)( 6,34,31,20)( 7,33,49,26)( 8,39,55,15)( 9,56,47,45)
        (10,50,57,25)(14,46,40,52)(18,21,36,43)(22,29,48,30)(23,60,37,32)(24,38,35,41), 
      ( 1, 2,39,44,56,59)( 3,33,37,31,22,30)( 4,55,51,53, 9,50)( 5,42,10,58, 8,47)( 6,19,21,32, 7,43)(11,40,46,57,45,
         15)(12,25,14,13,52,27)(16,29,34,36,54,48)(17,20,60,41,35,49)(18,26,38,28,24,23), 
      ( 1, 3,44,41,58,20)( 2,34,50,32,47,30)( 4,28,57,18,51,21)( 5,37,13,49,12,22)( 6,10,35,52,23,45)( 7,46,24,27,17,
          8)( 9,36,40,43,15,16)(11,54,14,31,25,48)(19,53,29,39,33,42)(26,59,60,56,38,55) ] ),
  forms := [ rec(
          forms := [ [ "[4, 1, 14]" ] ],
          h := 4 ) ],
  group := Group( [ () ] ),
  h := [ 4 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 17, 60 ] ],
      regular := 17,
      transitive := 0 ),
  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, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 
      57, 58, 59, 60 ],
  order := 60,
  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, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 
      55, 56, 57, 58, 59, 60 ],
  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, -43, 
      -44, -45, -46, -47, -48, -49, -50, -51, -52, -53, -54, -55, -56, -57, -58, -59, -60 ] );

