# -*- GAP -*-

Phi30i :=
rec(
  adjacencies := [ [ 5, 19, 20, 21 ], [ 5, 22, 23, 25 ], [ 5, 24, 27, 28 ], [ 5, 26, 29, 30 ], [ 1, 2, 3, 4 ], 
      [ 7, 11, 19, 30 ], [ 6, 8, 20, 23 ], [ 7, 9, 24, 29 ], [ 8, 10, 22, 28 ], [ 9, 11, 21, 25 ], [ 6, 10, 26, 27 ], 
      [ 13, 17, 19, 25 ], [ 12, 14, 24, 30 ], [ 13, 15, 21, 27 ], [ 14, 16, 20, 22 ], [ 15, 17, 26, 28 ], 
      [ 12, 16, 23, 29 ], [ 20, 24, 25, 26 ], [ 1, 6, 12, 28 ], [ 1, 7, 15, 18 ], [ 1, 10, 14, 29 ], [ 2, 9, 15, 30 ],
      [ 2, 7, 17, 27 ], [ 3, 8, 13, 18 ], [ 2, 10, 12, 18 ], [ 4, 11, 16, 18 ], [ 3, 11, 14, 23 ], [ 3, 9, 16, 19 ], 
      [ 4, 8, 17, 21 ], [ 4, 6, 13, 22 ] ],
  autGroup := Group( [ ( 3, 4)( 6,14)( 7,15)( 8,16)( 9,17)(10,12)(11,13)(19,21)(22,23)(24,26)(27,30)(28,29), 
      ( 2,12)( 3,28)( 4, 6)( 5,19)( 7,29)( 9,24)(10,18)(11,26)(13,22)(14,15)(16,27)(17,23)(20,21), 
      ( 1, 2)( 3, 4)( 6, 9)( 7,10)( 8,11)(12,15)(13,16)(14,17)(19,22)(20,25)(21,23)(24,26)(27,29)(28,30) ] ),
  forms := [ rec(
          forms := [ [ "[4, 2, 56]", "[16, 6, 16]" ] ],
          h := 4 ), rec(
          forms := [ [ "[14, 4, 14]" ] ],
          h := 6 ), rec(
          forms := [ [ "[12, 2, 12]" ] ],
          h := 8 ), rec(
          forms := [ [ "[10, 0, 10]" ] ],
          h := 10 ), rec(
          forms := [ [ "[8, 2, 8]" ] ],
          h := 12 ), rec(
          forms := [ [ "[4, 2, 6]" ] ],
          h := 14 ) ],
  group := Group( [ () ] ),
  h := [ 4, 6, 8, 10, 12, 14 ],
  info := rec(
      bipartite := false,
      distance_regular := false,
      girth := 5,
      pencils := [ [ 4, 30 ] ],
      regular := 4,
      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 ],
  order := 30,
  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 ],
  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 ] );

