# -*- GAP -*-

a8p_pencil :=
rec(
  graph := [ rec(
          adjacencies := [ [ 2, 9 ], [ 1, 3 ], [ 2, 4 ], [ 3, 5 ], [ 4, 6 ], [ 5, 7 ], [ 6, 8 ], [ 7, 9 ], [ 1, 8 ], 
              [ 11, 18 ], [ 10, 12 ], [ 11, 13 ], [ 12, 14 ], [ 13, 15 ], [ 14, 16 ], [ 15, 17 ], [ 16, 18 ], 
              [ 10, 17 ], [  ], [  ] ],
          autGroup := Group( [ (11,18)(12,17)(13,16)(14,15), (10,11)(12,18)(13,17)(14,16), 
              ( 2, 9)( 3, 8)( 4, 7)( 5, 6), ( 1, 2)( 3, 9)( 4, 8)( 5, 7), ( 1,10)( 2,11)( 3,12)( 4,13)( 5,14)( 6,15)
                ( 7,16)( 8,17)( 9,18), (19,20) ] ),
          forms := [ rec(
                  forms := [ [ "[36, 18, 90]" ] ],
                  h := 180 ), rec(
                  forms := [ [ "[36, 18, 90]" ] ],
                  h := 186 ), rec(
                  forms := [ [ "[36, 18, 90]" ] ],
                  h := 192 ), rec(
                  forms := [ [ "[18, 0, 18]" ], [ "[4, 2, 10]" ] ],
                  h := 194 ) ],
          group := Group( [ () ] ),
          h := [ 180, 186, 192, 194 ],
          info := rec(
              bipartite := false,
              distance_regular := false,
              girth := 9,
              pencils := [ [ 2, 18 ], [ 0, 2 ] ],
              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 ],
          order := 20,
          real := [  ],
          representatives := [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ],
          schreierVector := [ -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, 
              -20 ] ) ],
  h := [ 180, 182, 184, 186, 188, 190, 192, 194, 196 ],
  hh := [ rec(
          count := [ 20 ],
          deg := 9,
          h := 180,
          real := [  ] ), rec(
          count := [  ],
          deg := 9,
          h := 182,
          real := [  ] ), rec(
          count := [  ],
          deg := 9,
          h := 184,
          real := [  ] ), rec(
          count := [ 20 ],
          deg := 9,
          h := 186,
          real := [  ] ), rec(
          count := [  ],
          deg := 9,
          h := 188,
          real := [  ] ), rec(
          count := [  ],
          deg := 9,
          h := 190,
          real := [  ] ), rec(
          count := [ 20 ],
          deg := 9,
          h := 192,
          real := [  ] ), rec(
          count := [ 20 ],
          deg := 9,
          h := 194,
          real := [  ] ), rec(
          count := [  ],
          deg := 9,
          h := 196,
          real := [  ] ) ] );

