# -*- GAP -*-

X60i :=
rec(
  adjacencies := [ [ 17, 21, 22, 25, 30, 32, 33, 34, 38, 41, 42, 43, 44, 45, 46, 47 ], 
      [ 7, 13, 20, 22, 26, 32, 34, 35, 36, 39, 42, 45, 47, 51, 54, 57 ], 
      [ 8, 11, 18, 20, 21, 23, 24, 33, 34, 36, 37, 39, 40, 41, 42, 46, 47, 52, 54, 57 ], 
      [ 6, 12, 18, 21, 22, 23, 25, 31, 35, 37, 42, 47, 49, 50, 54, 57 ], 
      [ 14, 19, 23, 24, 25, 27, 32, 35, 36, 41, 42, 46, 47, 50, 53, 55 ], 
      [ 4, 12, 16, 17, 19, 24, 26, 27, 28, 29, 34, 36, 38, 39, 43, 45, 46, 47, 53, 58 ], 
      [ 2, 13, 14, 24, 25, 29, 30, 37, 40, 41, 43, 47, 49, 52, 53, 58 ], 
      [ 3, 11, 15, 25, 26, 27, 28, 30, 35, 38, 43, 47, 50, 51, 53, 58 ], 
      [ 14, 17, 18, 24, 25, 32, 35, 36, 38, 40, 46, 47, 50, 54, 55, 58 ], 
      [ 19, 21, 22, 25, 27, 30, 32, 33, 39, 40, 43, 45, 46, 47, 54, 56 ], 
      [ 3, 8, 14, 16, 17, 19, 22, 29, 31, 32, 44, 45, 47, 49, 55, 56 ], 
      [ 4, 6, 14, 15, 20, 30, 32, 33, 40, 41, 44, 47, 51, 52, 55, 56 ], 
      [ 2, 7, 15, 16, 17, 18, 19, 21, 23, 27, 28, 31, 33, 38, 44, 46, 47, 50, 55, 56 ], 
      [ 5, 7, 9, 11, 12, 21, 26, 27, 31, 33, 34, 37, 38, 39, 42, 43, 45, 48, 51, 54 ], 
      [ 8, 12, 13, 22, 24, 31, 32, 34, 35, 39, 42, 43, 46, 48, 52, 54 ], 
      [ 6, 11, 13, 20, 25, 32, 33, 36, 40, 41, 42, 43, 48, 49, 50, 54 ], 
      [ 1, 6, 9, 11, 13, 30, 35, 37, 39, 40, 42, 48, 51, 52, 53, 57 ], 
      [ 3, 4, 9, 13, 27, 29, 30, 32, 39, 41, 43, 44, 45, 48, 51, 58 ], 
      [ 5, 6, 10, 11, 13, 30, 34, 35, 37, 41, 48, 51, 52, 54, 57, 58 ], 
      [ 2, 3, 12, 16, 25, 27, 30, 35, 37, 38, 45, 46, 48, 53, 55, 58 ], 
      [ 1, 3, 4, 10, 13, 14, 26, 28, 35, 36, 48, 49, 52, 53, 55, 58 ], 
      [ 1, 2, 4, 10, 11, 15, 24, 27, 29, 36, 37, 38, 40, 41, 48, 50, 51, 53, 55, 58 ], 
      [ 3, 4, 5, 13, 29, 30, 32, 34, 38, 40, 43, 45, 48, 51, 53, 56 ], 
      [ 3, 5, 6, 7, 9, 15, 22, 28, 30, 33, 44, 45, 48, 49, 56, 57 ], 
      [ 1, 4, 5, 7, 8, 9, 10, 16, 20, 28, 29, 31, 34, 39, 44, 48, 51, 52, 56, 57 ], 
      [ 2, 6, 8, 14, 21, 29, 30, 32, 40, 41, 44, 46, 48, 50, 56, 57 ], 
      [ 5, 6, 8, 10, 13, 14, 18, 20, 22, 40, 42, 44, 49, 52, 57, 59 ], 
      [ 6, 8, 13, 21, 24, 25, 32, 37, 40, 41, 42, 45, 51, 54, 55, 59 ], 
      [ 6, 7, 11, 18, 22, 23, 25, 26, 33, 35, 42, 46, 52, 54, 55, 59 ], 
      [ 1, 7, 8, 10, 12, 17, 18, 19, 20, 23, 24, 26, 31, 36, 42, 49, 50, 54, 55, 59 ], 
      [ 4, 11, 13, 14, 15, 25, 30, 36, 40, 41, 45, 46, 53, 57, 58, 59 ], 
      [ 1, 2, 5, 9, 10, 11, 12, 15, 16, 18, 23, 26, 28, 37, 49, 52, 53, 57, 58, 59 ], 
      [ 1, 3, 10, 12, 13, 14, 16, 24, 29, 35, 50, 51, 53, 57, 58, 59 ], 
      [ 1, 2, 3, 6, 14, 15, 19, 23, 25, 40, 44, 49, 50, 55, 58, 59 ], 
      [ 2, 4, 5, 8, 9, 15, 17, 19, 20, 21, 29, 33, 40, 41, 43, 44, 45, 49, 56, 59 ], 
      [ 2, 3, 5, 6, 9, 16, 21, 22, 30, 31, 43, 44, 51, 52, 56, 59 ], 
      [ 3, 4, 7, 14, 17, 19, 20, 22, 28, 32, 43, 44, 46, 50, 56, 59 ], 
      [ 1, 6, 8, 9, 13, 14, 20, 22, 23, 41, 49, 52, 54, 56, 57, 59 ], 
      [ 2, 3, 6, 10, 14, 15, 17, 18, 25, 41, 49, 50, 53, 55, 56, 59 ], 
      [ 3, 7, 9, 10, 12, 16, 17, 22, 23, 26, 27, 28, 31, 34, 35, 60 ], 
      [ 1, 3, 5, 7, 12, 16, 18, 19, 22, 26, 28, 31, 35, 38, 39, 60 ], 
      [ 1, 2, 3, 4, 5, 14, 15, 16, 17, 27, 28, 29, 30, 56, 58, 60 ], 
      [ 1, 6, 7, 8, 10, 14, 15, 16, 18, 23, 35, 36, 37, 55, 57, 60 ], 
      [ 1, 11, 12, 13, 18, 24, 25, 26, 27, 34, 35, 36, 37, 53, 54, 60 ], 
      [ 1, 2, 6, 10, 11, 14, 18, 20, 23, 24, 28, 31, 35, 50, 52, 60 ], 
      [ 1, 3, 5, 6, 9, 10, 13, 15, 20, 26, 29, 31, 37, 49, 51, 60 ], 
      [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 48, 59, 60 ], 
      [ 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 47, 59, 60 ], 
      [ 4, 7, 11, 16, 21, 24, 27, 30, 32, 34, 35, 38, 39, 46, 51, 60 ], 
      [ 4, 5, 8, 9, 13, 16, 22, 26, 30, 33, 34, 37, 39, 45, 52, 60 ], 
      [ 2, 8, 12, 14, 17, 18, 19, 22, 23, 25, 28, 33, 36, 46, 49, 60 ], 
      [ 3, 7, 12, 15, 17, 19, 21, 25, 27, 29, 32, 36, 38, 45, 50, 60 ], 
      [ 5, 6, 7, 8, 17, 20, 21, 22, 23, 31, 32, 33, 39, 44, 54, 60 ], 
      [ 2, 3, 4, 9, 10, 14, 15, 16, 19, 28, 29, 30, 38, 44, 53, 60 ], 
      [ 5, 9, 11, 12, 13, 20, 21, 22, 28, 29, 30, 34, 39, 43, 57, 60 ], 
      [ 10, 11, 12, 13, 23, 24, 25, 26, 35, 36, 37, 38, 39, 42, 58, 60 ], 
      [ 2, 3, 4, 17, 19, 24, 25, 26, 27, 31, 32, 33, 38, 43, 55, 60 ], 
      [ 6, 7, 8, 9, 18, 19, 20, 21, 22, 31, 32, 33, 34, 42, 56, 60 ], 
      [ 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 47, 48, 60 ], 
      [ 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ] ],
  autGroup := Group( [ ( 2,11)( 3,13)( 4,48)( 5, 9)( 6,60)( 7, 8)(12,59)(14,35)(15,37)(16,57)(17,42)(18,23)(19,54)
        (20,31)(24,50)(26,49)(27,40)(28,52)(29,51)(34,44)(36,55)(38,41)(39,56)(53,58), 
      ( 2,37)( 3,35)( 4,36)( 5,18)( 9,23)(11,15)(12,16)(13,14)(17,34)(19,39)(24,29)(25,30)(26,28)(42,44)(43,47)(45,46)
        (48,55)(49,52)(50,51)(53,58)(54,56)(57,59), ( 2,15)( 4,29)( 7,31)( 8,20)(11,37)(12,26)(16,28)(21,33)(24,36)
        (43,45)(46,47)(48,51)(49,59)(50,55)(52,57), ( 2,12)( 3,60)( 4, 7)( 6,13)( 8,48)(11,59)(14,35)(15,26)(16,28)
        (17,38)(18,58)(19,27)(20,51)(21,43)(22,30)(23,53)(24,50)(29,31)(33,45)(34,44)(36,55)(37,49)(39,56)(40,54)
        (41,42)(52,57), ( 1, 5,39,38,19,18)( 2, 8,37,29,21,24)( 3,22,35)( 4,33,36,15,20,11)( 6,13,30,32,25,14)
        ( 7,26,28)( 9,34,27,17,23,10)(12,16,31)(42,53,56,54,58,44)(43,46,55,49,57,51)(45,47,50,59,52,48) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 16]" ] ],
          h := 4 ) ],
  group := Group( [ () ] ),
  h := [ 4 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 3,
      pencils := [ [ 20, 10 ], [ 16, 50 ] ],
      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, 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 ] );

