const small_groups_1_63 = Vector{Tuple{Vector{Perm{Int64}}, Vector{Vector{Int}}, Vector{Vector{Int}}, Vector{Tuple{Int, Int}}, Vector{Tuple{Int, Int}}, Bool, Bool, Bool, Bool, BigInt}}[[ ([ perm"()" ], [
[ 1 ]
], [], [ (1, 1) ], [ (1, 1) ], true, true, true, true, 1) ], [ ([ perm"(1, 2)" ], [
[ 1, 1 ]
], [], [ (1, 1), (2, 1) ], [ (1, 1), (2, 1) ], true, true, true, true, 1) ], [ ([ perm"(1, 3, 2)" ], [
[ -1, -1, -1 ]
], [], [ (1, 1), (3, 2) ], [ (1, 1), (3, 1) ], true, true, true, true, 2) ], [ ([ perm"(1, 4, 2, 3)", perm"(1, 2)(3, 4)" ], [
[ 2, 2 ],
[ -1, -1, 2 ]
], [
[ -1, -1, 2 ]
], [ (1, 1), (2, 1), (4, 2) ], [ (1, 1), (2, 1), (4, 1) ], true, true, true, true, 2), ([ perm"(1, 3)(2, 4)", perm"(1, 2)(3, 4)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 1, 2, 1, 2 ]
], [
[ 1, 2, 1, 2 ]
], [ (1, 1), (2, 3) ], [ (1, 1), (2, 3), (4, 1) ], true, false, true, true, 6) ], [ ([ perm"(1, 5, 4, 3, 2)" ], [
[ -1, -1, -1, -1, -1 ]
], [], [ (1, 1), (5, 4) ], [ (1, 1), (5, 1) ], true, true, true, true, 4) ], [ ([ perm"(1, 4)(2, 5)(3, 6)", perm"(1, 3, 2)(4, 5, 6)" ], [
[ 1, 1 ],
[ -2, -2, -2 ],
[ -2, 1, -2, 1 ]
], [
[ -2, 1, -2, 1 ]
], [ (1, 1), (2, 3), (3, 2) ], [ (1, 1), (2, 3), (3, 1), (6, 1) ], false, false, true, false, 6), ([ perm"(1, 4)(2, 5)(3, 6)", perm"(1, 3, 2)(4, 6, 5)" ], [
[ 1, 1 ],
[ -2, -2, -2 ],
[ -2, 1, 2, 1 ]
], [
[ -2, 1, 2, 1 ]
], [ (1, 1), (2, 1), (3, 2), (6, 2) ], [ (1, 1), (2, 1), (3, 1), (6, 1) ], true, true, true, true, 2) ], [ ([ perm"(1, 7, 6, 5, 4, 3, 2)" ], [
[ -1, -1, -1, -1, -1, -1, -1 ]
], [], [ (1, 1), (7, 6) ], [ (1, 1), (7, 1) ], true, true, true, true, 6) ], [ ([ perm"(1, 8, 4, 6, 2, 7, 3, 5)", perm"(1, 4, 2, 3)(5, 8, 6, 7)", perm"(1, 2)(3, 4)(5, 6)(7, 8)" ], [
[ 3, 3 ],
[ -1, -1, 2 ],
[ 2, 1, 1, 3 ]
], [
[ -1, -1, 2 ],
[ 2, 1, 1, 3 ]
], [ (1, 1), (2, 1), (4, 2), (8, 4) ], [ (1, 1), (2, 1), (4, 1), (8, 1) ], true, true, true, true, 4), ([ perm"(1, 6, 2, 5)(3, 8, 4, 7)", perm"(1, 3)(2, 4)(5, 7)(6, 8)", perm"(1, 2)(3, 4)(5, 6)(7, 8)"
], [
[ 2, 2 ],
[ 3, 3 ],
[ -1, -1, 3 ],
[ -1, 2, 1, 2 ]
], [
[ -1, -1, 3 ],
[ -1, 2, 1, 2 ]
], [ (1, 1), (2, 3), (4, 4) ], [ (1, 1), (2, 3), (4, 3), (8, 1) ], true, false, true, true, 8), ([ perm"(1, 5)(2, 6)(3, 7)(4, 8)", perm"(1, 3)(2, 4)(5, 8)(6, 7)", perm"(1, 2)(3, 4)(5, 6)(7, 8)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 2, 1, 2, 3 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 2, 1, 2, 3 ]
], [ (1, 1), (2, 5), (4, 2) ], [ (1, 1), (2, 5), (4, 3), (8, 1) ], false, false, true, true, 8), ([ perm"(1, 6, 2, 5)(3, 8, 4, 7)", perm"(1, 4, 2, 3)(5, 7, 6, 8)", perm"(1, 2)(3, 4)(5, 6)(7, 8)" ], [
[ 3, 3 ],
[ -1, -1, 3 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ]
], [
[ -1, -1, 3 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ]
], [ (1, 1), (2, 1), (4, 6) ], [ (1, 1), (2, 1), (4, 3), (8, 1) ], false, false, true, true, 24), ([ perm"(1, 5)(2, 6)(3, 7)(4, 8)", perm"(1, 3)(2, 4)(5, 7)(6, 8)", perm"(1, 2)(3, 4)(5, 6)(7, 8)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ]
], [
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ]
], [ (1, 1), (2, 7) ], [ (1, 1), (2, 7), (4, 7), (8, 1) ], true, false, true, true, 168) ], [ ([ perm"(1, 9, 6, 3, 8, 5, 2, 7, 4)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)" ], [
[ 2, 2, 2 ],
[ 1, 1, 1, -2 ]
], [
[ 1, 1, 1, -2 ]
], [ (1, 1), (3, 2), (9, 6) ], [ (1, 1), (3, 1), (9, 1) ], true, true, true, true, 6), ([ perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)" ], [
[ 1, 1, 1 ],
[ 2, 2, 2 ],
[ -1, -2, 1, 2 ]
], [
[ -1, -2, 1, 2 ]
], [ (1, 1), (3, 8) ], [ (1, 1), (3, 4), (9, 1) ], true, false, true, true, 48) ], [ ([ perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)", perm"(1, 5, 4, 3, 2)(6, 7, 8, 9, 10)" ], [
[ 1, 1 ],
[ -2, 1, -2, 1 ],
[ -2, -2, -2, -2, -2 ]
], [
[ -2, 1, -2, 1 ]
], [ (1, 1), (2, 5), (5, 4) ], [ (1, 1), (2, 5), (5, 1), (10, 1) ], false, false, true, false, 20), ([ perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)" ], [
[ 1, 1 ],
[ -2, 1, 2, 1 ],
[ -2, -2, -2, -2, -2 ]
], [
[ -2, 1, 2, 1 ]
], [ (1, 1), (2, 1), (5, 4), (10, 4) ], [ (1, 1), (2, 1), (5, 1), (10, 1) ], true, true, true, true, 4) ], [ ([ perm"(1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
], [], [ (1, 1), (11, 10) ], [ (1, 1), (11, 1) ], true, true, true, true, 10) ], [ ([ perm"(1, 10, 4, 7)(2, 11, 5, 8)(3, 12, 6, 9)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 12)", perm"(1, 3, 2)(4, 6,
5)(7, 8, 9)(10, 11, 12)" ], [
[ 2, 2 ],
[ 3, 3, 3 ],
[ -1, -1, 2 ],
[ -1, -3, 1, -3 ]
], [
[ -1, -1, 2 ],
[ -1, -3, 1, -3 ]
], [ (1, 1), (2, 1), (3, 2), (4, 6), (6, 2) ], [ (1, 1), (2, 1), (3, 1), (4, 3), (6, 1), (12, 1) ], false, false, true, false, 12), ([ perm"(1, 8, 2, 7)(3, 10, 4, 9)(5, 12, 6, 11)", perm"(1, 5, 3)(2, 
6, 4)(7, 11, 9)(8, 12, 10)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)" ], [
[ 2, 2, 2 ],
[ 3, 3 ],
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ]
], [
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ]
], [ (1, 1), (2, 1), (3, 2), (4, 2), (6, 2), (12, 4) ], [ (1, 1), (2, 1), (3, 1), (4, 1), (6, 1), (12, 1) ], true, true, true, true, 4), ([ perm"(1, 9, 5)(2, 10, 6)(3, 11, 7)(4, 12, 8)", perm"(1, 
3)(2, 4)(5, 6)(7, 8)(9, 12)(10, 11)", perm"(1, 2)(3, 4)(5, 8)(6, 7)(9, 11)(10, 12)" ], [
[ 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ -1, 2, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 2, -1, 2, 3 ]
], [
[ -1, 2, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 2, -1, 2, 3 ]
], [ (1, 1), (2, 3), (3, 8) ], [ (1, 1), (2, 3), (3, 4), (4, 1), (12, 1) ], false, false, true, false, 24), ([ perm"(1, 7)(2, 8)(3, 9)(4, 10)(5, 11)(6, 12)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 
12)", perm"(1, 3, 2)(4, 6, 5)(7, 8, 9)(10, 11, 12)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ]
], [
[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 7), (3, 2), (6, 2) ], [ (1, 1), (2, 7), (3, 1), (4, 3), (6, 3), (12, 1) ], false, false, true, false, 12), ([ perm"(1, 7)(2, 8)(3, 9)(4, 10)(5, 11)(6, 12)", perm"(1, 4)(2, 5)(3, 6)(7,
10)(8, 11)(9, 12)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (3, 2), (6, 6) ], [ (1, 1), (2, 3), (3, 1), (4, 1), (6, 3), (12, 1) ], true, false, true, true, 12) ], [ ([ perm"(1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
], [], [ (1, 1), (13, 12) ], [ (1, 1), (13, 1) ], true, true, true, true, 12) ], [ ([ perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 9, 10, 11, 12, 13, 14)" ], [
[ 1, 1 ],
[ -2, 1, -2, 1 ],
[ -2, -2, -2, -2, -2, -2, -2 ]
], [
[ -2, 1, -2, 1 ]
], [ (1, 1), (2, 7), (7, 6) ], [ (1, 1), (2, 7), (7, 1), (14, 1) ], false, false, true, false, 42), ([ perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 
11, 10, 9)" ], [
[ 1, 1 ],
[ -2, 1, 2, 1 ],
[ -2, -2, -2, -2, -2, -2, -2 ]
], [
[ -2, 1, 2, 1 ]
], [ (1, 1), (2, 1), (7, 6), (14, 6) ], [ (1, 1), (2, 1), (7, 1), (14, 1) ], true, true, true, true, 6) ], [ ([ perm"(1, 11, 6)(2, 12, 7)(3, 13, 8)(4, 14, 9)(5, 15, 10)", perm"(1, 5, 4, 3, 2)(6, 10, 
9, 8, 7)(11, 15, 14, 13, 12)" ], [
[ 1, 1, 1 ],
[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2 ]
], [
[ -1, -2, 1, 2 ]
], [ (1, 1), (3, 2), (5, 4), (15, 8) ], [ (1, 1), (3, 1), (5, 1), (15, 1) ], true, true, true, true, 8) ], [ ([ perm"(1, 16, 8, 12, 4, 14, 6, 10, 2, 15, 7, 11, 3, 13, 5, 9)", perm"(1, 8, 4, 6, 2, 7, 
3, 5)(9, 16, 12, 14, 10, 15, 11, 13)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 2 ],
[ 2, 1, 1, -3 ],
[ 3, 2, 2, 4 ]
], [
[ -1, -1, 2 ],
[ 2, 1, 1, -3 ],
[ 3, 2, 2, 4 ]
], [ (1, 1), (2, 1), (4, 2), (8, 4), (16, 8) ], [ (1, 1), (2, 1), (4, 1), (8, 1), (16, 1) ], true, true, true, true, 8), ([ perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)", perm"(1, 6, 
2, 5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ],
[ -2, -2, 4 ]
], [
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ],
[ -2, -2, 4 ]
], [ (1, 1), (2, 3), (4, 12) ], [ (1, 1), (2, 3), (4, 7), (8, 3), (16, 1) ], true, false, true, true, 96), ([ perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)", perm"(1, 5)(2, 6)(3, 7)(4, 
8)(9, 15)(10, 16)(11, 13)(12, 14)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 2, 4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
], [
[ -1, -1, 4 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 2, 4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
], [ (1, 1), (2, 7), (4, 8) ], [ (1, 1), (2, 7), (4, 11), (8, 3), (16, 1) ], false, false, true, true, 32), ([ perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)", perm"(1, 7, 3, 5)(2, 8, 4,
6)(9, 13, 11, 15)(10, 14, 12, 16)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 3 ]
], [
[ -1, -1, 4 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 3 ]
], [ (1, 1), (2, 3), (4, 12) ], [ (1, 1), (2, 3), (4, 7), (8, 3), (16, 1) ], false, false, true, true, 32), ([ perm"(1, 12, 4, 10, 2, 11, 3, 9)(5, 16, 8, 14, 6, 15, 7, 13)", perm"(1, 5)(2, 6)(3, 7)(4,
8)(9, 13)(10, 14)(11, 15)(12, 16)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ -1, 2, 1, 2 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ -1, 2, 1, 2 ]
], [ (1, 1), (2, 3), (4, 4), (8, 8) ], [ (1, 1), (2, 3), (4, 3), (8, 3), (16, 1) ], true, false, true, true, 16), ([ perm"(1, 12, 4, 10, 2, 11, 3, 9)(5, 16, 8, 14, 6, 15, 7, 13)", perm"(1, 5)(2, 6)(3,
7)(4, 8)(9, 14)(10, 13)(11, 16)(12, 15)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ 2, -3, 2, 3 ],
[ -1, 2, -1, 2, -3 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ 2, -3, 2, 3 ],
[ -1, 2, -1, 2, -3 ]
], [ (1, 1), (2, 3), (4, 4), (8, 8) ], [ (1, 1), (2, 3), (4, 3), (8, 3), (16, 1) ], false, false, true, true, 16), ([ perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 15)(10, 16)(11, 14)(12, 13)", perm"(1, 4, 2, 3)(5, 7, 6, 8)(9, 11, 10, 12)(13, 16, 14, 15)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 4 ],
[ 1, 2, 1, 2, 3 ]
], [
[ 1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 4 ],
[ 1, 2, 1, 2, 3 ]
], [ (1, 1), (2, 9), (4, 2), (8, 4) ], [ (1, 1), (2, 9), (4, 5), (8, 3), (16, 1) ], false, false, true, true, 32), ([ perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 15)(10, 16)(11, 14)(12, 13)", perm"(1, 4, 2, 3)(5, 7, 6, 8)(9, 11, 10, 12)(13, 16, 14, 15)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -1, 2, -1, 2, -3 ]
], [
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -1, 2, -1, 2, -3 ]
], [ (1, 1), (2, 5), (4, 6), (8, 4) ], [ (1, 1), (2, 5), (4, 5), (8, 3), (16, 1) ], false, false, true, true, 16), ([ perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 16, 10, 15)(11, 13, 12, 14)", perm"(1, 4, 2, 3)(5, 7, 6, 8)(9, 11, 10, 12)(13, 16, 14, 15)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -1, -2, -1, 2, -3 ]
], [
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -1, -2, -1, 2, -3 ]
], [ (1, 1), (2, 1), (4, 10), (8, 4) ], [ (1, 1), (2, 1), (4, 5), (8, 3), (16, 1) ], false, false, true, true, 32), ([ perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ]
], [
[ -1, -1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ]
], [ (1, 1), (2, 7), (4, 8) ], [ (1, 1), (2, 7), (4, 11), (8, 7), (16, 1) ], true, false, true, true, 192), ([ perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)", perm"(1, 5)(2, 6)(3, 7)(4,
8)(9, 14)(10, 13)(11, 16)(12, 15)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 2, 1, 2, 4 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 2, 1, 2, 4 ]
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21)(7, 22)(8, 23)(9, 24)(10, 25)(11, 26)(12, 27)(13, 28)(14, 29)(15, 30)", perm"(1, 11, 6)(2, 12, 7)(3, 13, 8)(4, 14, 9)(5, 15, 10)(16, 26, 21)(17, 27, 22)(18, 28, 23)(19, 29, 24)(20, 30, 25)", 
perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 25, 24, 23, 22)(26, 30, 29, 28, 27)" ], [
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28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
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25, 9, 17)", perm"(1, 16, 8, 12, 4, 14, 6, 10, 2, 15, 7, 11, 3, 13, 5, 9)(17, 32, 24, 28, 20, 30, 22, 26, 18, 31, 23, 27, 19, 29, 21, 25)", perm"(1, 8, 4, 6, 2, 7, 3, 5)(9, 16, 12, 14, 10, 15, 11, 
13)(17, 24, 20, 22, 18, 23, 19, 21)(25, 32, 28, 30, 26, 31, 27, 29)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 23)(25, 28, 26, 27)(29, 32, 30, 31)", 
perm"(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)" ], [
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], [ (1, 1), (2, 1), (4, 2), (8, 4), (16, 8), (32, 16) ], [ (1, 1), (2, 1), (4, 1), (8, 1), (16, 1), (32, 1) ], true, true, true, true, 16), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 
8, 22)(9, 27, 11, 25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 30, 18, 29)(19, 32, 20, 31)(21, 26, 22, 25)(23, 28, 24, 27)", 
perm"(1, 5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 
20)(21, 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
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4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 22, 18, 21)(19, 24, 20, 23)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 
27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
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], [ (1, 1), (2, 3), (4, 12), (8, 16) ], [ (1, 1), (2, 3), (4, 7), (8, 7), (16, 3), (32, 1) ], true, false, true, true, 128), ([ perm"(1, 22, 6, 18, 2, 21, 5, 17)(3, 24, 8, 20, 4, 23, 7, 19)(9, 30, 
14, 26, 10, 29, 13, 25)(11, 32, 16, 28, 12, 31, 15, 27)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 28, 19, 26)(18, 27, 20, 25)(21, 32, 23, 30)(22, 31, 24, 29)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 22, 18, 21)(19, 24, 20, 23)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
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[ 3, 3, 3, 3 ],
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[ 3, 1, 1, 5 ],
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[ -2, -3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ -1, -2, -1, 2, -3 ]
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[ 3, 1, 1, 5 ],
[ -2, -2, 4 ],
[ -2, -3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ -1, -2, -1, 2, -3 ]
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6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22,
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
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[ 4, 4, 4, 4 ],
[ 5, 5 ],
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[ 4, 1, 1, 5 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 2, -4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
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[ 4, 1, 1, 5 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 2, -4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
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12, 25)(10, 27, 11, 26)(13, 32, 16, 29)(14, 31, 15, 30)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 29)(18, 30)(19, 31)(20, 32)(21, 25)(22, 26)(23, 27)(24, 28)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 12)(10, 11)(13, 16)(14, 15)(17, 19)(18, 20)(21, 23)(22,
24)(25, 28)(26, 27)(29, 32)(30, 31)", perm"(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)" ], [
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[ 5, 5 ],
[ -1, -1, 4 ],
[ 2, 3, 2, 3 ],
[ 3, 4, 3, 4 ],
[ -1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 3, 2, -1, 2, 1 ],
[ 1, 3, -1, 3, 5 ]
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[ 2, 3, 2, 3 ],
[ 3, 4, 3, 4 ],
[ -1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 3, 2, -1, 2, 1 ],
[ 1, 3, -1, 3, 5 ]
], [ (1, 1), (2, 11), (4, 20) ], [ (1, 1), (2, 11), (4, 23), (8, 11), (16, 3), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 27, 11, 26,
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7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 20, 18, 19)(21, 24, 22, 
23)(25, 27, 26, 28)(29, 31, 30, 32)", perm"(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)" ], [
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[ 4, 4, 4, 4 ],
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[ 4, 1, 1, 5 ],
[ 2, 3, 2, 3 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ 3, 2, -1, 2, 1 ]
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[ 4, 1, 1, 5 ],
[ 2, 3, 2, 3 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ 3, 2, -1, 2, 1 ]
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27, 11, 26, 10, 28, 12, 25)(13, 31, 15, 30, 14, 32, 16, 29)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 30, 18, 29)(19, 32, 20, 31)(21, 26, 22, 25)(23, 28, 24, 27)", perm"(1, 
5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 20, 18, 19)(21, 
24, 22, 23)(25, 27, 26, 28)(29, 31, 30, 32)", perm"(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)" ], [
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[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -2, -2, 5 ],
[ -2, 3, 2, 3 ],
[ -2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ 1, -2, -1, -2, 3 ]
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[ 4, 1, 1, 5 ],
[ -2, -2, 5 ],
[ -2, 3, 2, 3 ],
[ -2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ 1, -2, -1, -2, 3 ]
], [ (1, 1), (2, 3), (4, 12), (8, 16) ], [ (1, 1), (2, 3), (4, 7), (8, 11), (16, 3), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27, 
11, 25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 29)(18, 30)(19, 31)(20, 32)(21, 26)(22, 25)(23, 28)(24, 27)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 13, 10, 14)(11, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 5 ],
[ 2, 4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
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[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 5 ],
[ 2, 4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
], [ (1, 1), (2, 11), (4, 12), (8, 8) ], [ (1, 1), (2, 11), (4, 19), (8, 11), (16, 3), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27,
11, 25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 30, 18, 29)(19, 32, 20, 31)(21, 25, 22, 26)(23, 27, 24, 28)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 13, 10, 14)(11, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
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[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -2, -2, 5 ],
[ -3, 2, 2, -3 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -2, 4, 2, 4 ],
[ 1, -2, -1, 2, 3 ]
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[ -2, -2, 5 ],
[ -3, 2, 2, -3 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -2, 4, 2, 4 ],
[ 1, -2, -1, 2, 3 ]
], [ (1, 1), (2, 3), (4, 20), (8, 8) ], [ (1, 1), (2, 3), (4, 11), (8, 11), (16, 3), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 28, 
12, 26, 10, 27, 11, 25)(13, 32, 16, 30, 14, 31, 15, 29)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 29)(18, 30)(19, 31)(20, 32)(21, 26)(22, 25)(23, 28)(24, 27)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 13, 10, 14)(11, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22,
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
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[ 3, 3, 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 5 ],
[ 2, -4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
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[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 5 ],
[ 2, -4, 2, 4 ],
[ 1, 2, -1, 2, 3 ]
], [ (1, 1), (2, 7), (4, 16), (8, 8) ], [ (1, 1), (2, 7), (4, 11), (8, 11), (16, 3), (32, 1) ], false, false, true, true, 32), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 28, 
12, 26, 10, 27, 11, 25)(13, 32, 16, 30, 14, 31, 15, 29)", perm"(1, 13, 5, 9)(2, 14, 6, 10)(3, 15, 7, 11)(4, 16, 8, 12)(17, 25, 21, 29)(18, 26, 22, 30)(19, 27, 23, 31)(20, 28, 24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22,
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
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[ 3, 3 ],
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[ 4, 1, 1, 5 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 3 ]
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[ 4, 1, 1, 5 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 3 ]
], [ (1, 1), (2, 3), (4, 12), (8, 16) ], [ (1, 1), (2, 3), (4, 7), (8, 7), (16, 3), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27, 
11, 25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 14, 6, 10, 2, 13, 5, 9)(3, 16, 8, 12, 4, 15, 7, 11)(17, 26, 21, 30, 18, 25, 22, 29)(19, 28, 23, 32, 20, 27, 24, 31)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
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[ -2, -2, 3 ],
[ 3, 2, 2, 5 ],
[ -1, -3, 1, -3 ],
[ -2, 4, 2, 4 ],
[ 1, -2, -1, 2, 3 ]
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[ -2, -2, 3 ],
[ 3, 2, 2, 5 ],
[ -1, -3, 1, -3 ],
[ -2, 4, 2, 4 ],
[ 1, -2, -1, 2, 3 ]
], [ (1, 1), (2, 3), (4, 20), (8, 8) ], [ (1, 1), (2, 3), (4, 11), (8, 7), (16, 3), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27, 
11, 25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 13, 5, 10, 2, 14, 6, 9)(3, 15, 7, 12, 4, 16, 8, 11)(17, 25, 22, 30, 18, 26, 21, 29)(19, 27, 24, 32, 20, 28, 23, 31)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -1, -2, 1, -2 ],
[ -2, -2, -3 ],
[ -3, 2, 2, 5 ]
], [
[ -1, -1, 4 ],
[ -1, -2, 1, -2 ],
[ -2, -2, -3 ],
[ -3, 2, 2, 5 ]
], [ (1, 1), (2, 3), (4, 20), (8, 8) ], [ (1, 1), (2, 3), (4, 11), (8, 7), (16, 3), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 28, 
12, 26, 10, 27, 11, 25)(13, 32, 16, 30, 14, 31, 15, 29)", perm"(1, 14, 6, 10, 2, 13, 5, 9)(3, 16, 8, 12, 4, 15, 7, 11)(17, 26, 21, 30, 18, 25, 22, 29)(19, 28, 23, 32, 20, 27, 24, 31)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22,
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 3, 3, 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -2, -2, 3 ],
[ 3, 2, 2, 5 ],
[ -1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ -1, -2, -1, -2, -4 ]
], [
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -2, -2, 3 ],
[ 3, 2, 2, 5 ],
[ -1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ -1, -2, -1, -2, -4 ]
], [ (1, 1), (2, 3), (4, 4), (8, 24) ], [ (1, 1), (2, 3), (4, 3), (8, 7), (16, 3), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 24, 8, 20, 4, 22, 6, 18, 2, 23, 7, 19, 3, 21, 5, 17)(9, 32, 16,
28, 12, 30, 14, 26, 10, 31, 15, 27, 11, 29, 13, 25)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 25)(18, 26)(19, 27)(20, 28)(21, 29)(22, 30)(23, 31)(24, 32)", perm"(1, 8, 4, 6, 
2, 7, 3, 5)(9, 16, 12, 14, 10, 15, 11, 13)(17, 24, 20, 22, 18, 23, 19, 21)(25, 32, 28, 30, 26, 31, 27, 29)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 2, 2 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 3 ],
[ 3, 1, 1, -4 ],
[ -1, 2, 1, 2 ],
[ 4, 3, 3, 5 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, -4 ],
[ -1, 2, 1, 2 ],
[ 4, 3, 3, 5 ]
], [ (1, 1), (2, 3), (4, 4), (8, 8), (16, 16) ], [ (1, 1), (2, 3), (4, 3), (8, 3), (16, 3), (32, 1) ], true, false, true, true, 32), ([ perm"(1, 24, 8, 20, 4, 22, 6, 18, 2, 23, 7, 19, 3, 21, 5, 17)(9,
32, 16, 28, 12, 30, 14, 26, 10, 31, 15, 27, 11, 29, 13, 25)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 26)(18, 25)(19, 28)(20, 27)(21, 30)(22, 29)(23, 32)(24, 31)", perm"(1, 8,
4, 6, 2, 7, 3, 5)(9, 16, 12, 14, 10, 15, 11, 13)(17, 24, 20, 22, 18, 23, 19, 21)(25, 32, 28, 30, 26, 31, 27, 29)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 
22, 23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 2, 2 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 3 ],
[ 3, 1, 1, -4 ],
[ 2, -3, 2, 3 ],
[ 4, 3, 3, 5 ],
[ 1, 2, -1, 2, 5 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, -4 ],
[ 2, -3, 2, 3 ],
[ 4, 3, 3, 5 ],
[ 1, 2, -1, 2, 5 ]
], [ (1, 1), (2, 3), (4, 4), (8, 8), (16, 16) ], [ (1, 1), (2, 3), (4, 3), (8, 3), (16, 3), (32, 1) ], false, false, true, true, 32), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 
24)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 29)(18, 30)(19, 31)(20, 32)(21, 28)(22, 27)(23, 25)(24, 26)", 
perm"(1, 7, 3, 6, 2, 8, 4, 5)(9, 13, 12, 16, 10, 14, 11, 15)(17, 21, 20, 24, 18, 22, 19, 23)(25, 31, 27, 30, 26, 32, 28, 29)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 
20)(21, 23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, -4 ],
[ -4, 3, 3, 5 ],
[ 1, 2, 1, 2, 3 ]
], [
[ 1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, -4 ],
[ -4, 3, 3, 5 ],
[ 1, 2, 1, 2, 3 ]
], [ (1, 1), (2, 17), (4, 2), (8, 4), (16, 8) ], [ (1, 1), (2, 17), (4, 9), (8, 5), (16, 3), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 
23)(9, 26, 10, 25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 29)(18, 30)(19, 31)(20, 32)(21, 28)(22, 27)(23, 25)(24, 26)", 
perm"(1, 7, 3, 6, 2, 8, 4, 5)(9, 13, 12, 16, 10, 14, 11, 15)(17, 21, 20, 24, 18, 22, 19, 23)(25, 31, 27, 30, 26, 32, 28, 29)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 
20)(21, 23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, -4 ],
[ 1, 2, -1, 2, 3 ]
], [
[ -1, -1, 5 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, -4 ],
[ 1, 2, -1, 2, 3 ]
], [ (1, 1), (2, 9), (4, 10), (8, 4), (16, 8) ], [ (1, 1), (2, 9), (4, 9), (8, 5), (16, 3), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 
23)(9, 26, 10, 25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 30, 18, 29)(19, 32, 20, 31)(21, 27, 22, 28)(23, 26, 24, 25)", 
perm"(1, 7, 3, 6, 2, 8, 4, 5)(9, 13, 12, 16, 10, 14, 11, 15)(17, 21, 20, 24, 18, 22, 19, 23)(25, 31, 27, 30, 26, 32, 28, 29)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 
20)(21, 23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -3, -3, -4 ],
[ -1, -2, -1, -2, 3 ]
], [
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -3, -3, -4 ],
[ -1, -2, -1, -2, 3 ]
], [ (1, 1), (2, 1), (4, 18), (8, 4), (16, 8) ], [ (1, 1), (2, 1), (4, 9), (8, 5), (16, 3), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 
22)(9, 27, 11, 25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 26, 18, 25)(19, 28, 20, 27)(21, 30, 22, 29)(23, 32, 24, 31)", 
perm"(1, 5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 
20)(21, 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -1, -2, 1, 2 ],
[ -2, -2, 5 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ]
], [
[ -1, -1, 4 ],
[ -1, -2, 1, 2 ],
[ -2, -2, 5 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ]
], [ (1, 1), (2, 7), (4, 24) ], [ (1, 1), (2, 7), (4, 19), (8, 19), (16, 7), (32, 1) ], true, false, true, true, 1536), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 10, 
25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 25)(20, 26)(21, 31)(22, 32)(23, 29)(24, 30)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 2, 5, 2, 5 ],
[ 1, 2, -1, 2, 4 ]
], [
[ -1, -1, 5 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 2, 5, 2, 5 ],
[ 1, 2, -1, 2, 4 ]
], [ (1, 1), (2, 15), (4, 16) ], [ (1, 1), (2, 15), (4, 43), (8, 27), (16, 7), (32, 1) ], false, false, true, true, 512), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 10, 
25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 25, 19, 27)(18, 26, 20, 28)(21, 29, 23, 31)(22, 30, 24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 4 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ]
], [
[ -1, -1, 5 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 4 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ]
], [ (1, 1), (2, 7), (4, 24) ], [ (1, 1), (2, 7), (4, 19), (8, 19), (16, 7), (32, 1) ], false, false, true, true, 512), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 10, 
25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 25)(20, 26)(21, 31)(22, 32)(23, 29)(24, 30)", perm"(1, 7, 3, 
5)(2, 8, 4, 6)(9, 15, 11, 13)(10, 16, 12, 14)(17, 23, 19, 21)(18, 24, 20, 22)(25, 31, 27, 29)(26, 32, 28, 30)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 2, 5, 2, 5 ],
[ 1, 2, -1, 2, 4 ]
], [
[ -1, -1, 5 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 2, 5, 2, 5 ],
[ 1, 2, -1, 2, 4 ]
], [ (1, 1), (2, 7), (4, 24) ], [ (1, 1), (2, 7), (4, 19), (8, 11), (16, 7), (32, 1) ], false, false, true, true, 256), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 10, 
25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 25)(20, 26)(21, 31)(22, 32)(23, 29)(24, 30)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 22, 18, 21)(19, 24, 20, 23)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, -1, 2, 4 ]
], [
[ -1, -1, 5 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, -1, 2, 4 ]
], [ (1, 1), (2, 11), (4, 20) ], [ (1, 1), (2, 11), (4, 23), (8, 19), (16, 7), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 10, 
25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 25, 19, 27)(18, 26, 20, 28)(21, 29, 23, 31)(22, 30, 24, 32)", perm"(1, 8, 4, 
5)(2, 7, 3, 6)(9, 16, 12, 13)(10, 15, 11, 14)(17, 24, 20, 21)(18, 23, 19, 22)(25, 32, 28, 29)(26, 31, 27, 30)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 4 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ],
[ 4, 3, 3, 5 ]
], [
[ -1, -1, 5 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 4 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ],
[ 4, 3, 3, 5 ]
], [ (1, 1), (2, 3), (4, 28) ], [ (1, 1), (2, 3), (4, 15), (8, 11), (16, 7), (32, 1) ], false, false, true, true, 384), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 25)(20, 26)(21, 31)(22, 32)(23, 29)(24, 30)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 4, 5, 4, 5 ],
[ 1, 2, 1, 2, 4 ],
[ 1, 3, 1, 3, 5 ]
], [
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 4, 5, 4, 5 ],
[ 1, 2, 1, 2, 4 ],
[ 1, 3, 1, 3, 5 ]
], [ (1, 1), (2, 19), (4, 12) ], [ (1, 1), (2, 19), (4, 47), (8, 31), (16, 7), (32, 1) ], false, false, true, true, 384), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 25, 19, 27)(18, 26, 20, 28)(21, 29, 23, 31)(22, 30, 24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -2, -2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, 3, 2, 3 ],
[ -2, 5, 2, 5 ],
[ 1, 5, 1, 5 ],
[ 3, 5, 3, 5 ],
[ 1, 3, 1, 3, 5 ]
], [
[ -2, -2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, 3, 2, 3 ],
[ -2, 5, 2, 5 ],
[ 1, 5, 1, 5 ],
[ 3, 5, 3, 5 ],
[ 1, 3, 1, 3, 5 ]
], [ (1, 1), (2, 15), (4, 16) ], [ (1, 1), (2, 15), (4, 27), (8, 23), (16, 7), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27, 11, 
25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 25, 19, 27)(18, 26, 20, 28)(21, 29, 23, 31)(22, 30, 24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -2, 3, 2, 3 ],
[ -1, 5, 1, 5 ],
[ -2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 1, 3, -1, 3, 5 ]
], [
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -2, 3, 2, 3 ],
[ -1, 5, 1, 5 ],
[ -2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 1, 3, -1, 3, 5 ]
], [ (1, 1), (2, 7), (4, 24) ], [ (1, 1), (2, 7), (4, 19), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 25)(20, 26)(21, 31)(22, 32)(23, 29)(24, 30)", perm"(1, 7, 3, 
5)(2, 8, 4, 6)(9, 15, 11, 13)(10, 16, 12, 14)(17, 24, 19, 22)(18, 23, 20, 21)(25, 32, 27, 30)(26, 31, 28, 29)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, 4, 1, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ -3, 5, 3, 5 ],
[ 1, 2, 1, 2, 4 ],
[ 1, -3, 1, 3, 5 ]
], [
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, 4, 1, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ -3, 5, 3, 5 ],
[ 1, 2, 1, 2, 4 ],
[ 1, -3, 1, 3, 5 ]
], [ (1, 1), (2, 11), (4, 20) ], [ (1, 1), (2, 11), (4, 23), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 28, 18, 27)(19, 26, 20, 25)(21, 32, 22, 31)(23, 30, 24, 29)", perm"(1, 7, 3, 
5)(2, 8, 4, 6)(9, 15, 11, 13)(10, 16, 12, 14)(17, 24, 19, 22)(18, 23, 20, 21)(25, 32, 27, 30)(26, 31, 28, 29)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -2, -2, 5 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, 4, 1, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 1, -2, 1, 4 ],
[ -3, 1, 2, 2, 3, 1 ]
], [
[ -2, -2, 5 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, 4, 1, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 1, -2, 1, 4 ],
[ -3, 1, 2, 2, 3, 1 ]
], [ (1, 1), (2, 11), (4, 20) ], [ (1, 1), (2, 11), (4, 23), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 256), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27, 11, 
25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 28, 18, 27)(19, 26, 20, 25)(21, 32, 22, 31)(23, 30, 24, 29)", perm"(1, 7, 3, 
5)(2, 8, 4, 6)(9, 15, 11, 13)(10, 16, 12, 14)(17, 24, 19, 22)(18, 23, 20, 21)(25, 32, 27, 30)(26, 31, 28, 29)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -2, -1, 2 ],
[ -2, -2, 5 ],
[ -2, -3, 2, 3 ],
[ -1, -3, -1, -3, 5 ]
], [
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -2, -1, 2 ],
[ -2, -2, 5 ],
[ -2, -3, 2, 3 ],
[ -1, -3, -1, -3, 5 ]
], [ (1, 1), (2, 3), (4, 28) ], [ (1, 1), (2, 3), (4, 15), (8, 7), (16, 7), (32, 1) ], false, false, true, true, 256), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 12, 4, 9)(2, 11, 3, 10)(5, 16, 8, 13)(6, 15, 7, 14)(17, 26, 20, 27)(18, 25, 19, 28)(21, 30, 24, 31)(22, 29, 23, 32)", perm"(1, 7, 3, 
5)(2, 8, 4, 6)(9, 15, 11, 13)(10, 16, 12, 14)(17, 24, 19, 22)(18, 23, 20, 21)(25, 32, 27, 30)(26, 31, 28, 29)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ 4, 2, 2, 5 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, 4, 1, 4 ],
[ 1, 5, 1, 5 ],
[ -2, 1, -2, 1, 5 ],
[ -3, 1, 2, 2, -3, 1 ]
], [
[ 4, 2, 2, 5 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, 4, 1, 4 ],
[ 1, 5, 1, 5 ],
[ -2, 1, -2, 1, 5 ],
[ -3, 1, 2, 2, -3, 1 ]
], [ (1, 1), (2, 7), (4, 24) ], [ (1, 1), (2, 7), (4, 19), (8, 7), (16, 7), (32, 1) ], false, false, true, true, 192), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 25, 19, 27)(18, 26, 20, 28)(21, 29, 23, 31)(22, 30, 24, 32)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -2, -2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -3, -3, 5 ]
], [
[ -2, -2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -3, -3, 5 ]
], [ (1, 1), (2, 19), (4, 12) ], [ (1, 1), (2, 19), (4, 31), (8, 31), (16, 7), (32, 1) ], false, false, true, true, 1536), ([ perm"(1, 19, 3, 17)(2, 20, 4, 18)(5, 23, 7, 21)(6, 24, 8, 22)(9, 27, 11, 
25)(10, 28, 12, 26)(13, 31, 15, 29)(14, 32, 16, 30)", perm"(1, 11, 3, 9)(2, 12, 4, 10)(5, 15, 7, 13)(6, 16, 8, 14)(17, 25, 19, 27)(18, 26, 20, 28)(21, 29, 23, 31)(22, 30, 24, 32)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 5 ]
], [
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 5 ]
], [ (1, 1), (2, 3), (4, 28) ], [ (1, 1), (2, 3), (4, 15), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 512), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 28, 12, 26, 
10, 27, 11, 25)(13, 32, 16, 30, 14, 31, 15, 29)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 25)(18, 26)(19, 27)(20, 28)(21, 29)(22, 30)(23, 31)(24, 32)", perm"(1, 5)(2, 6)(3, 
7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ]
], [
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ]
], [ (1, 1), (2, 7), (4, 8), (8, 16) ], [ (1, 1), (2, 7), (4, 11), (8, 11), (16, 7), (32, 1) ], true, false, true, true, 384), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 28, 
12, 26, 10, 27, 11, 25)(13, 32, 16, 30, 14, 31, 15, 29)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 26)(18, 25)(19, 28)(20, 27)(21, 30)(22, 29)(23, 32)(24, 31)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22,
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 2, -4, 2, 4 ],
[ -1, 2, -1, 2, -4 ]
], [
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 2, -4, 2, 4 ],
[ -1, 2, -1, 2, -4 ]
], [ (1, 1), (2, 7), (4, 8), (8, 16) ], [ (1, 1), (2, 7), (4, 11), (8, 11), (16, 7), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 20, 4, 18, 2, 19, 3, 17)(5, 24, 8, 22, 6, 23, 7, 21)(9, 28, 
12, 26, 10, 27, 11, 25)(13, 32, 16, 30, 14, 31, 15, 29)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 25)(18, 26)(19, 27)(20, 28)(21, 29)(22, 30)(23, 31)(24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 14)(10, 13)(11, 16)(12, 15)(17, 21)(18, 22)(19, 23)(20, 24)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22,
23)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3, 5 ]
], [
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3, 5 ]
], [ (1, 1), (2, 7), (4, 8), (8, 16) ], [ (1, 1), (2, 7), (4, 7), (8, 11), (16, 7), (32, 1) ], false, false, true, true, 96), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 
25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 26)(20, 25)(21, 31)(22, 32)(23, 30)(24, 29)", perm"(1, 
5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 20)(21, 
23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -4, -4, 5 ],
[ 1, 2, 1, 2, 4 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -4, -4, 5 ],
[ 1, 2, 1, 2, 4 ]
], [ (1, 1), (2, 19), (4, 4), (8, 8) ], [ (1, 1), (2, 19), (4, 27), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 256), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26,
10, 25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 26)(20, 25)(21, 31)(22, 32)(23, 30)(24, 29)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 20)(21, 23, 22,
24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -4, 1, 1, -4 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -1, 2, -1, 2, -4 ]
], [
[ -1, -1, 5 ],
[ -4, 1, 1, -4 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -1, 2, -1, 2, -4 ]
], [ (1, 1), (2, 11), (4, 12), (8, 8) ], [ (1, 1), (2, 11), (4, 19), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 128), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 
26, 10, 25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 28, 18, 27)(19, 25, 20, 26)(21, 32, 22, 31)(23, 29, 24, 30)", perm"(1, 
5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 20)(21, 
23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -4, 1, 1, -4 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -1, -2, -1, 2, -4 ]
], [
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -4, 1, 1, -4 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -1, -2, -1, 2, -4 ]
], [ (1, 1), (2, 3), (4, 20), (8, 8) ], [ (1, 1), (2, 3), (4, 11), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 256), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 
25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 26)(20, 25)(21, 31)(22, 32)(23, 30)(24, 29)", perm"(1, 6,
2, 5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 22, 18, 21)(19, 24, 20, 23)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 20)(21, 23, 
22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 5 ],
[ -4, 3, 3, -4 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ 1, 2, 1, 2, 4 ]
], [
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 5 ],
[ -4, 3, 3, -4 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ 1, 2, 1, 2, 4 ]
], [ (1, 1), (2, 11), (4, 12), (8, 8) ], [ (1, 1), (2, 11), (4, 11), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 
25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 27)(18, 28)(19, 26)(20, 25)(21, 31)(22, 32)(23, 30)(24, 29)", perm"(1, 
5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 20)(21, 
23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -4, -4, 5 ],
[ 1, 2, 1, 2, 4 ],
[ 1, 3, 1, 3, 5 ]
], [
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ 3, -4, 3, 4 ],
[ -4, -4, 5 ],
[ 1, 2, 1, 2, 4 ],
[ 1, 3, 1, 3, 5 ]
], [ (1, 1), (2, 15), (4, 8), (8, 8) ], [ (1, 1), (2, 15), (4, 19), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 
25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 28, 18, 27)(19, 25, 20, 26)(21, 32, 22, 31)(23, 29, 24, 30)", perm"(1, 
5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 11, 10, 12)(13, 15, 14, 16)(17, 19, 18, 20)(21, 
23, 22, 24)(25, 28, 26, 27)(29, 32, 30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -2, -2, 5 ],
[ -4, 2, 2, -4 ],
[ -2, 3, 2, 3 ],
[ -2, -4, 2, -4 ],
[ 1, -4, 1, -4 ],
[ 3, -4, 3, 4 ],
[ -2, 1, -2, 1, 4 ],
[ 3, 1, 2, 2, 3, 1 ]
], [
[ -2, -2, 5 ],
[ -4, 2, 2, -4 ],
[ -2, 3, 2, 3 ],
[ -2, -4, 2, -4 ],
[ 1, -4, 1, -4 ],
[ 3, -4, 3, 4 ],
[ -2, 1, -2, 1, 4 ],
[ 3, 1, 2, 2, 3, 1 ]
], [ (1, 1), (2, 7), (4, 16), (8, 8) ], [ (1, 1), (2, 7), (4, 11), (8, 15), (16, 7), (32, 1) ], false, false, true, true, 64), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 
10, 25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 25)(18, 26)(19, 27)(20, 28)(21, 29)(22, 30)(23, 31)(24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ]
], [
[ -1, -1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ]
], [ (1, 1), (2, 15), (4, 16) ], [ (1, 1), (2, 15), (4, 43), (8, 43), (16, 15), (32, 1) ], true, false, true, true, 21504), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 26)(18, 25)(19, 28)(20, 27)(21, 30)(22, 29)(23, 32)(24, 31)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 4, 5, 4, 5 ],
[ 1, 2, 1, 2, 5 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 4, 5, 4, 5 ],
[ 1, 2, 1, 2, 5 ]
], [ (1, 1), (2, 23), (4, 8) ], [ (1, 1), (2, 23), (4, 67), (8, 51), (16, 15), (32, 1) ], false, false, true, true, 3072), ([ perm"(1, 18, 2, 17)(3, 20, 4, 19)(5, 22, 6, 21)(7, 24, 8, 23)(9, 26, 10, 
25)(11, 28, 12, 27)(13, 30, 14, 29)(15, 32, 16, 31)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 25, 18, 26)(19, 27, 20, 28)(21, 29, 22, 30)(23, 31, 24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ -2, 4, 2, 4 ],
[ 3, 4, 3, 4 ]
], [
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ],
[ -1, 4, 1, 4 ],
[ -2, 4, 2, 4 ],
[ 3, 4, 3, 4 ]
], [ (1, 1), (2, 7), (4, 24) ], [ (1, 1), (2, 7), (4, 19), (8, 35), (16, 15), (32, 1) ], false, false, true, true, 9216), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 26)(18, 25)(19, 28)(20, 27)(21, 30)(22, 29)(23, 32)(24, 31)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 14, 10, 13)(11, 16, 12, 15)(17, 22, 18, 21)(19, 24, 20, 23)(25, 30, 26, 29)(27, 32, 28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 5 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, 1, 2, 5 ]
], [
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 5 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, 1, 2, 5 ]
], [ (1, 1), (2, 15), (4, 16) ], [ (1, 1), (2, 15), (4, 27), (8, 35), (16, 15), (32, 1) ], false, false, true, true, 768), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 26)(18, 25)(19, 28)(20, 27)(21, 30)(22, 29)(23, 32)(24, 31)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 14)(10, 13)(11, 16)(12, 15)(17, 21)(18, 22)(19, 23)(20, 24)(25, 30)(26, 29)(27, 32)(28, 31)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 20)(18, 19)(21, 24)(22,
23)(25, 28)(26, 27)(29, 32)(30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ 1, 3, 1, 3 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 4, 5, 4, 5 ],
[ 1, 2, 1, 2, 5 ],
[ 1, 4, 1, 4, 5 ],
[ 3, 1, 2, 1, 3, 2 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ 4, 5, 4, 5 ],
[ 1, 2, 1, 2, 5 ],
[ 1, 4, 1, 4, 5 ],
[ 3, 1, 2, 1, 3, 2 ]
], [ (1, 1), (2, 19), (4, 12) ], [ (1, 1), (2, 19), (4, 39), (8, 35), (16, 15), (32, 1) ], false, false, true, true, 1152), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 10, 2, 9)(3, 12, 4, 11)(5, 14, 6, 13)(7, 16, 8, 15)(17, 25, 18, 26)(19, 27, 20, 28)(21, 29, 22, 30)(23, 31, 24, 32)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 13, 10, 14)(11, 15, 12, 16)(17, 22, 18, 21)(19, 24, 20, 23)(25, 29, 26, 30)(27, 31, 28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 20)(18, 19)(21, 24)(22,
23)(25, 28)(26, 27)(29, 32)(30, 31)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -2, -2, 5 ],
[ -3, 2, 2, -3 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, -3 ],
[ 1, -3, 1, 3 ],
[ -2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 4, 1, 2, 2, 4, 1 ]
], [
[ -2, -2, 5 ],
[ -3, 2, 2, -3 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, -3 ],
[ 1, -3, 1, 3 ],
[ -2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 4, 1, 2, 2, 4, 1 ]
], [ (1, 1), (2, 11), (4, 20) ], [ (1, 1), (2, 11), (4, 15), (8, 35), (16, 15), (32, 1) ], false, false, true, true, 1920), ([ perm"(1, 17)(2, 18)(3, 19)(4, 20)(5, 21)(6, 22)(7, 23)(8, 24)(9, 25)(10, 
26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 13)(6, 14)(7, 15)(8, 16)(17, 25)(18, 26)(19, 27)(20, 28)(21, 29)(22, 30)(23, 31)(24, 32)", perm"(1, 5)(2, 
6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22,
24)(25, 27)(26, 28)(29, 31)(30, 32)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
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29, 18)(8, 30, 19)(9, 31, 20)(10, 32, 21)(11, 33, 22)", perm"(1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13)(23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24)" ], [
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29)(13, 30)(14, 31)(15, 32)(16, 33)(17, 34)", perm"(1, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(18, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19)" ], [
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33, 26, 19, 12)(6, 34, 27, 20, 13)(7, 35, 28, 21, 14)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(29, 35, 34, 33, 32, 31, 30)" ], [
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33, 15, 24)(7, 34, 16, 25)(8, 35, 17, 26)(9, 36, 18, 27)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20, 29)(21, 30)(22, 31)(23, 32)(24, 33)(25, 34)(26, 35)(27, 
36)", perm"(1, 8, 5, 2, 9, 6, 3, 7, 4)(10, 17, 14, 11, 18, 15, 12, 16, 13)(19, 22, 25, 21, 24, 27, 20, 23, 26)(28, 31, 34, 30, 33, 36, 29, 32, 35)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 
15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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33, 27, 21, 32, 26, 20, 31, 25)(22, 36, 30, 24, 35, 29, 23, 34, 28)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 
35)(33, 36)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)" ], [
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17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 22)(23, 24)(25, 28)(26, 
27)(29, 32)(30, 31)(33, 36)(34, 35)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 16)(14, 15)(17, 20)(18, 19)(21, 24)(22, 23)(25, 27)(26, 28)(29, 31)(30, 32)(33, 35)(34, 36)" ], [
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[ 3, 4, 3, 4 ],
[ 1, 3, -1, 3, 4 ]
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[ -1, 3, 1, 4 ],
[ -2, 3, 2, 3 ],
[ 3, 4, 3, 4 ],
[ 1, 3, -1, 3, 4 ]
], [ (1, 1), (2, 3), (3, 2), (6, 6), (9, 24) ], [ (1, 1), (2, 3), (3, 1), (4, 1), (6, 3), (9, 4), (12, 1), (36, 1) ], false, false, true, false, 72), ([ perm"(1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 
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31)(23, 32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 8, 5, 2, 9, 6, 3, 7, 4)(10, 17, 14, 11, 18, 15, 12, 16, 13)(19, 22, 25, 21, 24, 27, 20, 23, 26)(28, 31, 34, 30, 33, 36, 29, 32, 35)", perm"(1, 3,
2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ 3, 3, 3, 4 ]
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[ 2, -3, 2, 3 ],
[ 3, 3, 3, 4 ]
], [ (1, 1), (2, 19), (3, 2), (6, 2), (9, 6), (18, 6) ], [ (1, 1), (2, 19), (3, 1), (4, 9), (6, 7), (9, 1), (12, 3), (18, 3), (36, 1) ], false, false, true, false, 108), ([ perm"(1, 19)(2, 20)(3, 
21)(4, 22)(5, 23)(6, 24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20,
29)(21, 30)(22, 31)(23, 32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 9, 6, 3, 8, 5, 2, 7, 4)(10, 18, 15, 12, 17, 14, 11, 16, 13)(19, 27, 24, 21, 26, 23, 20, 25, 22)(28, 36, 33, 30, 35, 32, 29, 34, 
31)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)" ], [
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[ 1, -3, 1, 3 ],
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[ 3, 3, 3, -4 ]
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[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 3, 3, 3, -4 ]
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20)(3, 24, 6, 21)(7, 28, 10, 25)(8, 29, 11, 26)(9, 30, 12, 27)(13, 34, 16, 31)(14, 35, 17, 32)(15, 36, 18, 33)", perm"(1, 13, 7)(2, 14, 8)(3, 15, 9)(4, 16, 10)(5, 17, 11)(6, 18, 12)(19, 31, 25)(20, 
32, 26)(21, 33, 27)(22, 34, 28)(23, 35, 29)(24, 36, 30)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)",
perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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[ 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4 ],
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, 4 ]
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[ -1, -2, 1, 2 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, 4 ]
], [ (1, 1), (2, 1), (3, 8), (4, 6), (6, 8), (12, 12) ], [ (1, 1), (2, 1), (3, 4), (4, 3), (6, 4), (9, 1), (12, 4), (18, 1), (36, 1) ], false, false, true, false, 24), ([ perm"(1, 28, 10, 19)(2, 29, 
11, 20)(3, 30, 12, 21)(4, 31, 13, 22)(5, 32, 14, 23)(6, 33, 15, 24)(7, 34, 16, 25)(8, 35, 17, 26)(9, 36, 18, 27)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20, 
29)(21, 30)(22, 31)(23, 32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 22, 25)(20, 23, 26)(21, 24, 27)(28, 31, 34)(29, 32, 35)(30, 33, 
36)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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[ 4, 4, 4 ],
[ -1, -1, 2 ],
[ -1, -3, 1, -3 ],
[ -1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
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[ -1, -3, 1, -3 ],
[ -1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 1), (3, 8), (4, 18), (6, 8) ], [ (1, 1), (2, 1), (3, 4), (4, 9), (6, 4), (9, 1), (12, 12), (18, 1), (36, 1) ], false, false, true, false, 864), ([ perm"(1, 20, 2, 19)(3, 22, 4, 21)(5,
24, 6, 23)(7, 26, 8, 25)(9, 28, 10, 27)(11, 30, 12, 29)(13, 32, 14, 31)(15, 34, 16, 33)(17, 36, 18, 35)", perm"(1, 13, 7)(2, 14, 8)(3, 15, 9)(4, 16, 10)(5, 17, 11)(6, 18, 12)(19, 31, 25)(20, 32, 
26)(21, 33, 27)(22, 34, 28)(23, 35, 29)(24, 36, 30)", perm"(1, 5, 3)(2, 6, 4)(7, 11, 9)(8, 12, 10)(13, 17, 15)(14, 18, 16)(19, 23, 21)(20, 24, 22)(25, 29, 27)(26, 30, 28)(31, 35, 33)(32, 36, 34)", 
perm"(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)" ], [
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[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -1, -2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ]
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[ -1, -2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ]
], [ (1, 1), (2, 1), (3, 8), (4, 2), (6, 8), (12, 16) ], [ (1, 1), (2, 1), (3, 4), (4, 1), (6, 4), (9, 1), (12, 4), (18, 1), (36, 1) ], true, false, true, true, 96), ([ perm"(1, 28, 10, 19)(2, 29, 11,
20)(3, 30, 12, 21)(4, 31, 13, 22)(5, 32, 14, 23)(6, 33, 15, 24)(7, 34, 16, 25)(8, 35, 17, 26)(9, 36, 18, 27)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20, 29)(21, 
30)(22, 31)(23, 32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 13, 16)(11, 14, 17)(12, 15, 18)(19, 26, 24)(20, 27, 22)(21, 25, 23)(28, 33, 35)(29, 31, 36)(30, 32, 34)", 
perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 11, 12)(13, 14, 15)(16, 17, 18)(19, 23, 27)(20, 24, 25)(21, 22, 26)(28, 36, 32)(29, 34, 33)(30, 35, 31)" ], [
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[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -1, -1, 2 ],
[ 2, -3, 2, -3 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ 1, -3, -1, -3, 4 ]
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[ 2, -3, 2, -3 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ 1, -3, -1, -3, 4 ]
], [ (1, 1), (2, 9), (3, 8), (4, 18) ], [ (1, 1), (2, 9), (3, 4), (4, 9), (6, 12), (9, 1), (18, 1), (36, 1) ], false, false, true, false, 144), ([ perm"(1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 
25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20, 29)(21, 30)(22, 31)(23, 
32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 13, 16)(11, 14, 17)(12, 15, 18)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 31, 34)(29, 32, 35)(30, 33, 36)", perm"(1, 3, 2)(4, 
6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, -3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ -3, -4, 3, 4 ]
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[ 1, -3, 1, 3 ],
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[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 15), (3, 8), (6, 12) ], [ (1, 1), (2, 15), (3, 4), (4, 9), (6, 20), (9, 1), (12, 6), (18, 3), (36, 1) ], false, false, true, false, 72), ([ perm"(1, 25, 13)(2, 26, 14)(3, 27, 15)(4, 
28, 16)(5, 29, 17)(6, 30, 18)(7, 31, 19)(8, 32, 20)(9, 33, 21)(10, 34, 22)(11, 35, 23)(12, 36, 24)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 
33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21, 22)(23, 24)(25, 28)(26, 27)(29, 32)(30, 31)(33, 36)(34, 35)", perm"(1, 
2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 16)(14, 15)(17, 20)(18, 19)(21, 24)(22, 23)(25, 27)(26, 28)(29, 31)(30, 32)(33, 35)(34, 36)" ], [
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[ 2, 2, 2 ],
[ 3, 3 ],
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[ -1, -2, 1, 2 ],
[ -1, 3, 1, 4 ],
[ -2, 3, 2, 3 ],
[ 3, 4, 3, 4 ],
[ 1, 3, -1, 3, 4 ]
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[ -1, -2, 1, 2 ],
[ -1, 3, 1, 4 ],
[ -2, 3, 2, 3 ],
[ 3, 4, 3, 4 ],
[ 1, 3, -1, 3, 4 ]
], [ (1, 1), (2, 3), (3, 26), (6, 6) ], [ (1, 1), (2, 3), (3, 13), (4, 1), (6, 3), (9, 4), (12, 4), (36, 1) ], false, false, true, false, 144), ([ perm"(1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 24)(7, 
25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20, 29)(21, 30)(22, 31)(23, 
32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 34, 31)(29, 35, 32)(30, 36, 33)", perm"(1, 3, 2)(4, 
6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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[ 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ -3, -4, 3, 4 ]
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[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 7), (3, 8), (6, 20) ], [ (1, 1), (2, 7), (3, 4), (4, 3), (6, 12), (9, 1), (12, 4), (18, 3), (36, 1) ], false, false, true, false, 24), ([ perm"(1, 19)(2, 20)(3, 21)(4, 22)(5, 23)(6, 
24)(7, 25)(8, 26)(9, 27)(10, 28)(11, 29)(12, 30)(13, 31)(14, 32)(15, 33)(16, 34)(17, 35)(18, 36)", perm"(1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)(19, 28)(20, 29)(21, 30)(22, 
31)(23, 32)(24, 33)(25, 34)(26, 35)(27, 36)", perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 22, 25)(20, 23, 26)(21, 24, 27)(28, 31, 34)(29, 32, 35)(30, 33, 36)", perm"(1, 3,
2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)" ], [
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29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
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38, 29, 33, 37, 28, 32, 36)" ], [
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33)(24, 39, 29, 34)(25, 40, 30, 35)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 29)(25, 30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", 
perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 38, 39, 40)" ], [
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3, 21)(5, 28, 8, 26, 6, 27, 7, 25)(9, 32, 12, 30, 10, 31, 11, 29)(13, 36, 16, 34, 14, 35, 15, 33)(17, 40, 20, 38, 18, 39, 19, 37)", perm"(1, 17, 13, 9, 5)(2, 18, 14, 10, 6)(3, 19, 15, 11, 7)(4, 20, 
16, 12, 8)(21, 37, 33, 29, 25)(22, 38, 34, 30, 26)(23, 39, 35, 31, 27)(24, 40, 36, 32, 28)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 23)(25, 28, 26, 
27)(29, 32, 30, 31)(33, 36, 34, 35)(37, 40, 38, 39)", perm"(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)" ], [
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[ -1, -2, 1, 2 ]
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6, 31, 11, 21)(2, 37, 17, 27, 7, 32, 12, 22)(3, 38, 18, 28, 8, 33, 13, 23)(4, 39, 19, 29, 9, 34, 14, 24)(5, 40, 20, 30, 10, 35, 15, 25)", perm"(1, 16, 6, 11)(2, 17, 7, 12)(3, 18, 8, 13)(4, 19, 9, 
14)(5, 20, 10, 15)(21, 36, 26, 31)(22, 37, 27, 32)(23, 38, 28, 33)(24, 39, 29, 34)(25, 40, 30, 35)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 
28)(24, 29)(25, 30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 12, 13, 14, 15)(16, 17, 18, 19, 20)(21, 24, 22, 25, 23)(26, 29, 27, 30, 28)(31, 33, 35, 32, 
34)(36, 38, 40, 37, 39)" ], [
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[ -2, -4, 2, -4 ],
[ 1, -4, -1, -4, -4 ]
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[ 1, -4, -1, -4, -4 ]
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28, 8, 23)(4, 29, 9, 24)(5, 30, 10, 25)(11, 36, 16, 31)(12, 37, 17, 32)(13, 38, 18, 33)(14, 39, 19, 34)(15, 40, 20, 35)", perm"(1, 16, 6, 11)(2, 17, 7, 12)(3, 18, 8, 13)(4, 19, 9, 14)(5, 20, 10, 
15)(21, 31, 26, 36)(22, 32, 27, 37)(23, 33, 28, 38)(24, 34, 29, 39)(25, 35, 30, 40)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 29)(25, 
30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 38, 39, 
40)" ], [
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[ -1, -1, 3 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, 4 ]
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24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)", perm"(1, 16, 6, 11)(2, 17, 7, 12)(3, 18, 8, 13)(4, 19, 9, 14)(5, 20, 
10, 15)(21, 36, 26, 31)(22, 37, 27, 32)(23, 38, 28, 33)(24, 39, 29, 34)(25, 40, 30, 35)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 
29)(25, 30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 
38, 39, 40)" ], [
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[ 1, -4, 1, -4 ]
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24)(5, 25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)", perm"(1, 16, 6, 11)(2, 17, 7, 12)(3, 18, 8, 13)(4, 19, 9, 14)(5, 20, 
10, 15)(21, 31, 26, 36)(22, 32, 27, 37)(23, 33, 28, 38)(24, 34, 29, 39)(25, 35, 30, 40)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 
29)(25, 30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 
38, 39, 40)" ], [
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[ -2, -2, 3 ],
[ -2, 1, -2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ]
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[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ]
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22)(3, 28, 8, 23)(4, 29, 9, 24)(5, 30, 10, 25)(11, 36, 16, 31)(12, 37, 17, 32)(13, 38, 18, 33)(14, 39, 19, 34)(15, 40, 20, 35)", perm"(1, 11)(2, 12)(3, 13)(4, 14)(5, 15)(6, 16)(7, 17)(8, 18)(9, 
19)(10, 20)(21, 31)(22, 32)(23, 33)(24, 34)(25, 35)(26, 36)(27, 37)(28, 38)(29, 39)(30, 40)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 
29)(25, 30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 
38, 39, 40)" ], [
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[ -1, -1, 3 ],
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[ 2, -4, 2, 4 ]
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[ 2, -4, 2, 4 ]
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25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)", perm"(1, 11)(2, 12)(3, 13)(4, 14)(5, 15)(6, 16)(7, 17)(8, 18)(9, 19)(10, 
20)(21, 36)(22, 37)(23, 38)(24, 39)(25, 40)(26, 31)(27, 32)(28, 33)(29, 34)(30, 35)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 29)(25, 
30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 38, 39, 
40)" ], [
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[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
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[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ 1, 2, 1, 2, 3 ]
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[ 2, -4, 2, 4 ],
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[ 1, 2, 1, 2, 3 ]
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6, 25)(7, 28, 8, 27)(9, 30, 10, 29)(11, 32, 12, 31)(13, 34, 14, 33)(15, 36, 16, 35)(17, 38, 18, 37)(19, 40, 20, 39)", perm"(1, 11)(2, 12)(3, 13)(4, 14)(5, 15)(6, 16)(7, 17)(8, 18)(9, 19)(10, 20)(21, 
31)(22, 32)(23, 33)(24, 34)(25, 35)(26, 36)(27, 37)(28, 38)(29, 39)(30, 40)", perm"(1, 9, 7, 5, 3)(2, 10, 8, 6, 4)(11, 19, 17, 15, 13)(12, 20, 18, 16, 14)(21, 29, 27, 25, 23)(22, 30, 28, 26, 24)(31, 
39, 37, 35, 33)(32, 40, 38, 36, 34)", perm"(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)" ], [
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[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
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[ -1, 2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
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25)(6, 26)(7, 27)(8, 28)(9, 29)(10, 30)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17, 37)(18, 38)(19, 39)(20, 40)", perm"(1, 11)(2, 12)(3, 13)(4, 14)(5, 15)(6, 16)(7, 17)(8, 18)(9, 19)(10, 
20)(21, 32)(22, 31)(23, 34)(24, 33)(25, 36)(26, 35)(27, 38)(28, 37)(29, 40)(30, 39)", perm"(1, 9, 7, 5, 3)(2, 10, 8, 6, 4)(11, 19, 17, 15, 13)(12, 20, 18, 16, 14)(21, 29, 27, 25, 23)(22, 30, 28, 26, 
24)(31, 39, 37, 35, 33)(32, 40, 38, 36, 34)", perm"(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)" ], [
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[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, 1, 2, 4 ]
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[ 1, 4, 1, 4 ],
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26, 6, 25)(7, 28, 8, 27)(9, 30, 10, 29)(11, 32, 12, 31)(13, 34, 14, 33)(15, 36, 16, 35)(17, 38, 18, 37)(19, 40, 20, 39)", perm"(1, 12, 2, 11)(3, 14, 4, 13)(5, 16, 6, 15)(7, 18, 8, 17)(9, 20, 10, 
19)(21, 31, 22, 32)(23, 33, 24, 34)(25, 35, 26, 36)(27, 37, 28, 38)(29, 39, 30, 40)", perm"(1, 9, 7, 5, 3)(2, 10, 8, 6, 4)(11, 19, 17, 15, 13)(12, 20, 18, 16, 14)(21, 29, 27, 25, 23)(22, 30, 28, 26, 
24)(31, 39, 37, 35, 33)(32, 40, 38, 36, 34)", perm"(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)" ], [
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28, 8, 23)(4, 29, 9, 24)(5, 30, 10, 25)(11, 36, 16, 31)(12, 37, 17, 32)(13, 38, 18, 33)(14, 39, 19, 34)(15, 40, 20, 35)", perm"(1, 11)(2, 12)(3, 13)(4, 14)(5, 15)(6, 16)(7, 17)(8, 18)(9, 19)(10, 
20)(21, 31)(22, 32)(23, 33)(24, 34)(25, 35)(26, 36)(27, 37)(28, 38)(29, 39)(30, 40)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 29)(25, 
30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 7, 8, 9, 10)(11, 15, 14, 13, 12)(16, 17, 18, 19, 20)(21, 24, 22, 25, 23)(26, 28, 30, 27, 29)(31, 34, 32, 35, 33)(36, 38, 40, 37, 
39)" ], [
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20)(21, 31)(22, 32)(23, 33)(24, 34)(25, 35)(26, 36)(27, 37)(28, 38)(29, 39)(30, 40)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 29)(25, 
30)(31, 36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 22, 23, 24, 25)(26, 27, 28, 29, 30)(31, 32, 33, 34, 35)(36, 37, 38, 39, 
40)" ], [
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31)(22, 32)(23, 33)(24, 34)(25, 35)(26, 36)(27, 37)(28, 38)(29, 39)(30, 40)", perm"(1, 6)(2, 7)(3, 8)(4, 9)(5, 10)(11, 16)(12, 17)(13, 18)(14, 19)(15, 20)(21, 26)(22, 27)(23, 28)(24, 29)(25, 30)(31, 
36)(32, 37)(33, 38)(34, 39)(35, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 25, 24, 23, 22)(26, 30, 29, 28, 27)(31, 35, 34, 33, 32)(36, 40, 39, 38, 37)" ], [
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[ 3, -4, 3, 4 ]
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31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
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36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)", perm"(1, 15, 8)(2, 16, 9)(3, 17, 10)(4, 18, 11)(5, 19, 12)(6, 20, 13)(7, 21, 14)(22, 36, 29)(23, 37, 30)(24, 38, 31)(25, 39, 32)(26, 40, 33)(27, 
41, 34)(28, 42, 35)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 13, 11, 9, 14, 12, 10)(15, 18, 21, 17, 20, 16, 19)(22, 23, 24, 25, 26, 27, 28)(29, 31, 33, 35, 30, 32, 34)(36, 40, 37, 41, 38, 42, 39)" ], [
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14)(22, 36, 29)(23, 37, 30)(24, 38, 31)(25, 39, 32)(26, 40, 33)(27, 41, 34)(28, 42, 35)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 13, 11, 9, 14, 12, 10)(15, 18, 21, 17, 20, 16, 19)(22, 28, 27, 26, 25, 24, 
23)(29, 34, 32, 30, 35, 33, 31)(36, 39, 42, 38, 41, 37, 40)" ], [
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26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)", perm"(1, 19, 16, 13, 10, 7, 4)(2, 20, 17, 14, 11, 8, 5)(3, 21, 18, 15,
12, 9, 6)(22, 40, 37, 34, 31, 28, 25)(23, 41, 38, 35, 32, 29, 26)(24, 42, 39, 36, 33, 30, 27)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 23, 24)(25, 26, 
27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)" ], [
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[ -2, -2, -2, -2, -2, -2, -2 ]
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], [ (1, 1), (2, 3), (3, 2), (7, 6), (14, 18), (21, 12) ], [ (1, 1), (2, 3), (3, 1), (6, 1), (7, 1), (14, 3), (21, 1), (42, 1) ], false, false, true, false, 36), ([ perm"(1, 22)(2, 23)(3, 24)(4, 
25)(5, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)", perm"(1, 15, 8)(2, 16, 9)(3, 17, 10)(4, 18, 11)(5, 19, 12)(6, 
20, 13)(7, 21, 14)(22, 36, 29)(23, 37, 30)(24, 38, 31)(25, 39, 32)(26, 40, 33)(27, 41, 34)(28, 42, 35)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 23, 24, 
25, 26, 27, 28)(29, 30, 31, 32, 33, 34, 35)(36, 37, 38, 39, 40, 41, 42)" ], [
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -3, -3, -3, -3, -3, -3, -3 ]
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26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)", perm"(1, 15, 8)(2, 16, 9)(3, 17, 10)(4, 18, 11)(5, 19, 12)(6, 20, 
13)(7, 21, 14)(22, 29, 36)(23, 30, 37)(24, 31, 38)(25, 32, 39)(26, 33, 40)(27, 34, 41)(28, 35, 42)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 23, 24, 25, 
26, 27, 28)(29, 30, 31, 32, 33, 34, 35)(36, 37, 38, 39, 40, 41, 42)" ], [
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[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -3, -3, -3, -3, -3, -3, -3 ]
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[ -2, -3, 2, 3 ],
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26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)", perm"(1, 15, 8)(2, 16, 9)(3, 17, 10)(4, 18, 11)(5, 19, 12)(6, 20, 
13)(7, 21, 14)(22, 36, 29)(23, 37, 30)(24, 38, 31)(25, 39, 32)(26, 40, 33)(27, 41, 34)(28, 42, 35)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 
25, 24, 23)(29, 35, 34, 33, 32, 31, 30)(36, 42, 41, 40, 39, 38, 37)" ], [
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ],
[ -3, -3, -3, -3, -3, -3, -3 ]
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ]
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41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
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], [], [ (1, 1), (43, 42) ], [ (1, 1), (43, 1) ], true, true, true, true, 42) ], [ ([ perm"(1, 34, 12, 23)(2, 35, 13, 24)(3, 36, 14, 25)(4, 37, 15, 26)(5, 38, 16, 27)(6, 39, 17, 28)(7, 40, 18, 29)(8, 
41, 19, 30)(9, 42, 20, 31)(10, 43, 21, 32)(11, 44, 22, 33)", perm"(1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 22)(23, 34)(24, 35)(25, 36)(26, 37)(27, 38)(28, 39)(29, 
40)(30, 41)(31, 42)(32, 43)(33, 44)", perm"(1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13)(23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33)(34, 35, 36, 37, 38, 39, 40, 41, 
42, 43, 44)" ], [
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[ -1, -1, 2 ],
[ -1, -3, 1, -3 ],
[ -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3 ]
], [
[ -1, -1, 2 ],
[ -1, -3, 1, -3 ]
], [ (1, 1), (2, 1), (4, 22), (11, 10), (22, 10) ], [ (1, 1), (2, 1), (4, 11), (11, 1), (22, 1), (44, 1) ], false, false, true, false, 220), ([ perm"(1, 24, 2, 23)(3, 26, 4, 25)(5, 28, 6, 27)(7, 30, 
8, 29)(9, 32, 10, 31)(11, 34, 12, 33)(13, 36, 14, 35)(15, 38, 16, 37)(17, 40, 18, 39)(19, 42, 20, 41)(21, 44, 22, 43)", perm"(1, 21, 19, 17, 15, 13, 11, 9, 7, 5, 3)(2, 22, 20, 18, 16, 14, 12, 10, 8, 
6, 4)(23, 43, 41, 39, 37, 35, 33, 31, 29, 27, 25)(24, 44, 42, 40, 38, 36, 34, 32, 30, 28, 26)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 3, 3 ],
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
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[ -1, -2, 1, 2 ]
], [ (1, 1), (2, 1), (4, 2), (11, 10), (22, 10), (44, 20) ], [ (1, 1), (2, 1), (4, 1), (11, 1), (22, 1), (44, 1) ], true, true, true, true, 20), ([ perm"(1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 
29)(8, 30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)", perm"(1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 
21)(11, 22)(23, 34)(24, 35)(25, 36)(26, 37)(27, 38)(28, 39)(29, 40)(30, 41)(31, 42)(32, 43)(33, 44)", perm"(1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13)(23, 24, 25, 
26, 27, 28, 29, 30, 31, 32, 33)(34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44)" ], [
[ 1, 1 ],
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[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3 ]
], [
[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 23), (11, 10), (22, 10) ], [ (1, 1), (2, 23), (4, 11), (11, 1), (22, 3), (44, 1) ], false, false, true, false, 220), ([ perm"(1, 23)(2, 24)(3, 25)(4, 26)(5, 27)(6, 28)(7, 29)(8, 
30)(9, 31)(10, 32)(11, 33)(12, 34)(13, 35)(14, 36)(15, 37)(16, 38)(17, 39)(18, 40)(19, 41)(20, 42)(21, 43)(22, 44)", perm"(1, 12)(2, 13)(3, 14)(4, 15)(5, 16)(6, 17)(7, 18)(8, 19)(9, 20)(10, 21)(11, 
22)(23, 34)(24, 35)(25, 36)(26, 37)(27, 38)(28, 39)(29, 40)(30, 41)(31, 42)(32, 43)(33, 44)", perm"(1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13)(23, 33, 32, 31, 30, 
29, 28, 27, 26, 25, 24)(34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35)" ], [
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[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3 ]
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[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (11, 10), (22, 30) ], [ (1, 1), (2, 3), (4, 1), (11, 1), (22, 3), (44, 1) ], true, false, true, true, 60) ], [ ([ perm"(1, 33, 18, 3, 32, 17, 2, 31, 16)(4, 36, 21, 6, 35, 20, 5, 
34, 19)(7, 39, 24, 9, 38, 23, 8, 37, 22)(10, 42, 27, 12, 41, 26, 11, 40, 25)(13, 45, 30, 15, 44, 29, 14, 43, 28)", perm"(1, 13, 10, 7, 4)(2, 14, 11, 8, 5)(3, 15, 12, 9, 6)(16, 28, 25, 22, 19)(17, 29, 
26, 23, 20)(18, 30, 27, 24, 21)(31, 43, 40, 37, 34)(32, 44, 41, 38, 35)(33, 45, 42, 39, 36)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 
26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)" ], [
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[ 3, 3, 3 ],
[ 1, 1, 1, -3 ],
[ -1, -2, 1, 2 ]
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[ 1, 1, 1, -3 ],
[ -1, -2, 1, 2 ]
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20)(6, 36, 21)(7, 37, 22)(8, 38, 23)(9, 39, 24)(10, 40, 25)(11, 41, 26)(12, 42, 27)(13, 43, 28)(14, 44, 29)(15, 45, 30)", perm"(1, 11, 6)(2, 12, 7)(3, 13, 8)(4, 14, 9)(5, 15, 10)(16, 26, 21)(17, 27, 
22)(18, 28, 23)(19, 29, 24)(20, 30, 25)(31, 41, 36)(32, 42, 37)(33, 43, 38)(34, 44, 39)(35, 45, 40)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 25, 24, 23, 
22)(26, 30, 29, 28, 27)(31, 35, 34, 33, 32)(36, 40, 39, 38, 37)(41, 45, 44, 43, 42)" ], [
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], [ (1, 1), (3, 8), (5, 4), (15, 32) ], [ (1, 1), (3, 4), (5, 1), (9, 1), (15, 4), (45, 1) ], true, false, true, true, 192) ], [ ([ perm"(1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 
32)(10, 33)(11, 34)(12, 35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)", perm"(1, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4,
3, 2)(24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46)" ], [
[ 1, 1 ],
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[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
], [
[ -2, 1, -2, 1 ]
], [ (1, 1), (2, 23), (23, 22) ], [ (1, 1), (2, 23), (23, 1), (46, 1) ], false, false, true, false, 506), ([ perm"(1, 24)(2, 25)(3, 26)(4, 27)(5, 28)(6, 29)(7, 30)(8, 31)(9, 32)(10, 33)(11, 34)(12, 
35)(13, 36)(14, 37)(15, 38)(16, 39)(17, 40)(18, 41)(19, 42)(20, 43)(21, 44)(22, 45)(23, 46)", perm"(1, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(24, 46, 45, 44, 
43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25)" ], [
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[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
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[ -2, 1, 2, 1 ]
], [ (1, 1), (2, 1), (23, 22), (46, 22) ], [ (1, 1), (2, 1), (23, 1), (46, 1) ], true, true, true, true, 22) ], [ ([ perm"(1, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 
29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
], [], [ (1, 1), (47, 46) ], [ (1, 1), (47, 1) ], true, true, true, true, 46) ], [ ([ perm"(1, 46, 22, 34, 10, 40, 16, 28, 4, 43, 19, 31, 7, 37, 13, 25)(2, 47, 23, 35, 11, 41, 17, 29, 5, 44, 20, 32, 
8, 38, 14, 26)(3, 48, 24, 36, 12, 42, 18, 30, 6, 45, 21, 33, 9, 39, 15, 27)", perm"(1, 22, 10, 16, 4, 19, 7, 13)(2, 23, 11, 17, 5, 20, 8, 14)(3, 24, 12, 18, 6, 21, 9, 15)(25, 46, 34, 40, 28, 43, 31, 
37)(26, 47, 35, 41, 29, 44, 32, 38)(27, 48, 36, 42, 30, 45, 33, 39)", perm"(1, 10, 4, 7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 34, 28, 31)(26, 35, 29, 32)(27, 
36, 30, 33)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 
36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 
38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 2 ],
[ 2, 1, 1, -3 ],
[ 3, 2, 2, 4 ],
[ -1, -5, 1, -5 ]
], [
[ -1, -1, 2 ],
[ 2, 1, 1, -3 ],
[ 3, 2, 2, 4 ],
[ -1, -5, 1, -5 ]
], [ (1, 1), (2, 1), (3, 2), (4, 2), (6, 2), (8, 4), (12, 4), (16, 24), (24, 8) ], [ (1, 1), (2, 1), (3, 1), (4, 1), (6, 1), (8, 1), (12, 1), (16, 3), (24, 1), (48, 1) ], false, false, true, false, 
48), ([ perm"(1, 32, 8, 28, 4, 30, 6, 26, 2, 31, 7, 27, 3, 29, 5, 25)(9, 40, 16, 36, 12, 38, 14, 34, 10, 39, 15, 35, 11, 37, 13, 33)(17, 48, 24, 44, 20, 46, 22, 42, 18, 47, 23, 43, 19, 45, 21, 41)", 
perm"(1, 17, 9)(2, 18, 10)(3, 19, 11)(4, 20, 12)(5, 21, 13)(6, 22, 14)(7, 23, 15)(8, 24, 16)(25, 41, 33)(26, 42, 34)(27, 43, 35)(28, 44, 36)(29, 45, 37)(30, 46, 38)(31, 47, 39)(32, 48, 40)", perm"(1, 
8, 4, 6, 2, 7, 3, 5)(9, 16, 12, 14, 10, 15, 11, 13)(17, 24, 20, 22, 18, 23, 19, 21)(25, 32, 28, 30, 26, 31, 27, 29)(33, 40, 36, 38, 34, 39, 35, 37)(41, 48, 44, 46, 42, 47, 43, 45)", perm"(1, 4, 2, 
3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 23)(25, 28, 26, 27)(29, 32, 30, 31)(33, 36, 34, 35)(37, 40, 38, 39)(41, 44, 42, 43)(45, 48, 46, 47)", perm"(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)" ], [
[ 2, 2, 2 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 3 ],
[ 3, 1, 1, -4 ],
[ -1, -2, 1, 2 ],
[ 4, 3, 3, 5 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, -4 ],
[ -1, -2, 1, 2 ],
[ 4, 3, 3, 5 ]
], [ (1, 1), (2, 1), (3, 2), (4, 2), (6, 2), (8, 4), (12, 4), (16, 8), (24, 8), (48, 16) ], [ (1, 1), (2, 1), (3, 1), (4, 1), (6, 1), (8, 1), (12, 1), (16, 1), (24, 1), (48, 1) ], true, true, true, 
true, 16), ([ perm"(1, 33, 17)(2, 34, 18)(3, 35, 19)(4, 36, 20)(5, 37, 21)(6, 38, 22)(7, 39, 23)(8, 40, 24)(9, 41, 25)(10, 42, 26)(11, 43, 27)(12, 44, 28)(13, 45, 29)(14, 46, 30)(15, 47, 31)(16, 48, 
32)", perm"(1, 12, 4, 9)(2, 11, 3, 10)(5, 16, 8, 13)(6, 15, 7, 14)(17, 23, 19, 21)(18, 24, 20, 22)(25, 31, 27, 29)(26, 32, 28, 30)(33, 45, 34, 46)(35, 47, 36, 48)(37, 43, 38, 44)(39, 41, 40, 42)", 
perm"(1, 7, 3, 5)(2, 8, 4, 6)(9, 15, 11, 13)(10, 16, 12, 14)(17, 29, 18, 30)(19, 31, 20, 32)(21, 27, 22, 28)(23, 25, 24, 26)(33, 44, 36, 41)(34, 43, 35, 42)(37, 48, 40, 45)(38, 47, 39, 46)", perm"(1, 
3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 36)(34, 35)(37, 40)(38, 39)(41, 44)(42, 43)(45, 48)(46, 47)", perm"(1, 2)(3, 
4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 20)(18, 19)(21, 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)" ], [
[ 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5 ],
[ -1, -2, 1, 3 ],
[ 4, 2, 2, 5 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ -1, 4, 1, 5 ],
[ 1, -2, -1, -2, -3 ]
], [
[ -1, -2, 1, 3 ],
[ 4, 2, 2, 5 ],
[ -2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ -1, 4, 1, 5 ],
[ 1, -2, -1, -2, -3 ]
], [ (1, 1), (2, 3), (3, 32), (4, 12) ], [ (1, 1), (2, 3), (3, 16), (4, 7), (8, 3), (12, 4), (16, 1), (48, 1) ], false, false, true, false, 384), ([ perm"(1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 
31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 22, 10, 16, 4, 19, 7, 13)(2, 23, 11, 17, 5, 20, 8, 
14)(3, 24, 12, 18, 6, 21, 9, 15)(25, 46, 34, 40, 28, 43, 31, 37)(26, 47, 35, 41, 29, 44, 32, 38)(27, 48, 36, 42, 30, 45, 33, 39)", perm"(1, 10, 4, 7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 
17, 20)(15, 24, 18, 21)(25, 34, 28, 31)(26, 35, 29, 32)(27, 36, 30, 33)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 
22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 
20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -2, -2, 3 ],
[ 3, 2, 2, 4 ],
[ -2, 1, 2, 1 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ]
], [
[ -2, -2, 3 ],
[ 3, 2, 2, 4 ],
[ -2, 1, 2, 1 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ]
], [ (1, 1), (2, 7), (3, 2), (4, 8), (6, 2), (8, 16), (12, 4), (24, 8) ], [ (1, 1), (2, 7), (3, 1), (4, 7), (6, 3), (8, 7), (12, 3), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 48), ([ 
perm"(1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 
22, 10, 16, 4, 19, 7, 13)(2, 23, 11, 17, 5, 20, 8, 14)(3, 24, 12, 18, 6, 21, 9, 15)(25, 43, 34, 37, 28, 46, 31, 40)(26, 44, 35, 38, 29, 47, 32, 41)(27, 45, 36, 39, 30, 48, 33, 42)", perm"(1, 10, 4, 
7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 34, 28, 31)(26, 35, 29, 32)(27, 36, 30, 33)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 
6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 
8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -2, -2, 3 ],
[ 3, 2, 2, 4 ],
[ 1, -3, 1, 3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -2, 1, -2, 1, -3 ]
], [
[ -2, -2, 3 ],
[ 3, 2, 2, 4 ],
[ 1, -3, 1, 3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -2, 1, -2, 1, -3 ]
], [ (1, 1), (2, 7), (3, 2), (4, 8), (6, 2), (8, 16), (12, 4), (24, 8) ], [ (1, 1), (2, 7), (3, 1), (4, 7), (6, 3), (8, 7), (12, 3), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 48), ([ 
perm"(1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 
22, 10, 16, 4, 19, 7, 13)(2, 23, 11, 17, 5, 20, 8, 14)(3, 24, 12, 18, 6, 21, 9, 15)(25, 40, 31, 46, 28, 37, 34, 43)(26, 41, 32, 47, 29, 38, 35, 44)(27, 42, 33, 48, 30, 39, 36, 45)", perm"(1, 10, 4, 
7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 43, 40, 46)(38, 44, 41, 47)(39, 45, 42, 48)", perm"(1, 4)(2, 5)(3, 
6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 
8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -2, -2, 3 ],
[ 3, 2, 2, 4 ],
[ 1, -3, 1, -3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -2, 1, -2, 1, 4 ]
], [
[ -2, -2, 3 ],
[ 3, 2, 2, 4 ],
[ 1, -3, 1, -3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -2, 1, -2, 1, 4 ]
], [ (1, 1), (2, 13), (3, 2), (4, 14), (6, 2), (8, 4), (12, 4), (24, 8) ], [ (1, 1), (2, 13), (3, 1), (4, 13), (6, 5), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ 
perm"(1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 
19, 7, 16, 4, 22, 10, 13)(2, 20, 8, 17, 5, 23, 11, 14)(3, 21, 9, 18, 6, 24, 12, 15)(25, 37, 34, 46, 28, 40, 31, 43)(26, 38, 35, 47, 29, 41, 32, 44)(27, 39, 36, 48, 30, 42, 33, 45)", perm"(1, 10, 4, 
7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 43, 40, 46)(38, 44, 41, 47)(39, 45, 42, 48)", perm"(1, 4)(2, 5)(3, 
6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 
8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -2, -2, -3 ],
[ -3, 2, 2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ]
], [
[ -2, -2, -3 ],
[ -3, 2, 2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ]
], [ (1, 1), (2, 25), (3, 2), (4, 2), (6, 2), (8, 4), (12, 4), (24, 8) ], [ (1, 1), (2, 25), (3, 1), (4, 13), (6, 9), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 192), ([ 
perm"(1, 28, 4, 25)(2, 29, 5, 26)(3, 30, 6, 27)(7, 34, 10, 31)(8, 35, 11, 32)(9, 36, 12, 33)(13, 40, 16, 37)(14, 41, 17, 38)(15, 42, 18, 39)(19, 46, 22, 43)(20, 47, 23, 44)(21, 48, 24, 45)", perm"(1, 
19, 7, 16, 4, 22, 10, 13)(2, 20, 8, 17, 5, 23, 11, 14)(3, 21, 9, 18, 6, 24, 12, 15)(25, 37, 34, 46, 28, 40, 31, 43)(26, 38, 35, 47, 29, 41, 32, 44)(27, 39, 36, 48, 30, 42, 33, 45)", perm"(1, 10, 4, 
7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 43, 40, 46)(38, 44, 41, 47)(39, 45, 42, 48)", perm"(1, 4)(2, 5)(3, 
6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 
8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -2, 1, -2 ],
[ -2, -2, -3 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -2, 1, -2 ],
[ -2, -2, -3 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [ (1, 1), (2, 1), (3, 2), (4, 26), (6, 2), (8, 4), (12, 4), (24, 8) ], [ (1, 1), (2, 1), (3, 1), (4, 13), (6, 1), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 192), ([ 
perm"(1, 34, 10, 28, 4, 31, 7, 25)(2, 35, 11, 29, 5, 32, 8, 26)(3, 36, 12, 30, 6, 33, 9, 27)(13, 46, 22, 40, 16, 43, 19, 37)(14, 47, 23, 41, 17, 44, 20, 38)(15, 48, 24, 42, 18, 45, 21, 39)", perm"(1, 
13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 10, 4, 
7)(2, 11, 5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 34, 28, 31)(26, 35, 29, 32)(27, 36, 30, 33)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 
6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 
8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ]
], [ (1, 1), (2, 3), (3, 2), (4, 4), (6, 6), (8, 24), (12, 8) ], [ (1, 1), (2, 3), (3, 1), (4, 3), (6, 3), (8, 7), (12, 3), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 34,
10, 28, 4, 31, 7, 25)(2, 35, 11, 29, 5, 32, 8, 26)(3, 36, 12, 30, 6, 33, 9, 27)(13, 46, 22, 40, 16, 43, 19, 37)(14, 47, 23, 41, 17, 44, 20, 38)(15, 48, 24, 42, 18, 45, 21, 39)", perm"(1, 13)(2, 14)(3,
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 40)(26, 41)(27, 42)(28, 37)(29, 38)(30, 39)(31, 46)(32, 47)(33, 48)(34, 43)(35, 44)(36, 45)", perm"(1, 10, 4, 7)(2, 11, 5, 
8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 34, 28, 31)(26, 35, 29, 32)(27, 36, 30, 33)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ 2, -3, 2, 3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -1, 2, -1, 2, -3 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ 2, -3, 2, 3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -1, 2, -1, 2, -3 ]
], [ (1, 1), (2, 3), (3, 2), (4, 4), (6, 6), (8, 24), (12, 8) ], [ (1, 1), (2, 3), (3, 1), (4, 3), (6, 3), (8, 7), (12, 3), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 31,
7, 25)(2, 32, 8, 26)(3, 33, 9, 27)(4, 34, 10, 28)(5, 35, 11, 29)(6, 36, 12, 30)(13, 43, 19, 37)(14, 44, 20, 38)(15, 45, 21, 39)(16, 46, 22, 40)(17, 47, 23, 41)(18, 48, 24, 42)", perm"(1, 16, 4, 13)(2,
17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 40, 28, 37)(26, 41, 29, 38)(27, 42, 30, 39)(31, 46, 34, 43)(32, 47, 35, 44)(33, 48, 36, 45)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ],
[ -2, -2, 4 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [
[ -1, -1, 3 ],
[ -1, -2, 1, 2 ],
[ -2, -2, 4 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [ (1, 1), (2, 3), (3, 2), (4, 28), (6, 6), (12, 8) ], [ (1, 1), (2, 3), (3, 1), (4, 15), (6, 3), (8, 7), (12, 7), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 192), ([ perm"(1, 28, 4, 
25)(2, 29, 5, 26)(3, 30, 6, 27)(7, 34, 10, 31)(8, 35, 11, 32)(9, 36, 12, 33)(13, 40, 16, 37)(14, 41, 17, 38)(15, 42, 18, 39)(19, 46, 22, 43)(20, 47, 23, 44)(21, 48, 24, 45)", perm"(1, 19, 7, 13)(2, 
20, 8, 14)(3, 21, 9, 15)(4, 22, 10, 16)(5, 23, 11, 17)(6, 24, 12, 18)(25, 46, 31, 40)(26, 47, 32, 41)(27, 48, 33, 42)(28, 43, 34, 37)(29, 44, 35, 38)(30, 45, 36, 39)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 4 ],
[ -1, -2, -1, 2 ],
[ -2, -2, 3 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [
[ -1, -1, 4 ],
[ -1, -2, -1, 2 ],
[ -2, -2, 3 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [ (1, 1), (2, 3), (3, 2), (4, 28), (6, 6), (12, 8) ], [ (1, 1), (2, 3), (3, 1), (4, 15), (6, 3), (8, 7), (12, 7), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 31, 7, 
25)(2, 32, 8, 26)(3, 33, 9, 27)(4, 34, 10, 28)(5, 35, 11, 29)(6, 36, 12, 30)(13, 43, 19, 37)(14, 44, 20, 38)(15, 45, 21, 39)(16, 46, 22, 40)(17, 47, 23, 41)(18, 48, 24, 42)", perm"(1, 16, 4, 13)(2, 
17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 37, 28, 40)(26, 38, 29, 41)(27, 39, 30, 42)(31, 43, 34, 46)(32, 44, 35, 47)(33, 45, 36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 3 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 4 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [
[ -1, -1, 3 ],
[ -1, -2, 1, -2 ],
[ -2, -2, 4 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ]
], [ (1, 1), (2, 3), (3, 2), (4, 28), (6, 6), (12, 8) ], [ (1, 1), (2, 3), (3, 1), (4, 15), (6, 3), (8, 7), (12, 7), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 192), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 19, 7, 13)(2, 
20, 8, 14)(3, 21, 9, 15)(4, 22, 10, 16)(5, 23, 11, 17)(6, 24, 12, 18)(25, 46, 31, 40)(26, 47, 32, 41)(27, 48, 33, 42)(28, 43, 34, 37)(29, 44, 35, 38)(30, 45, 36, 39)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -2, -2, 3 ],
[ 1, 3, 1, 3 ],
[ -2, 4, 2, 4 ],
[ 1, 4, 1, 4 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ 4, -5, 4, 5 ],
[ 2, 1, -2, 1, 4 ]
], [
[ -2, -2, 3 ],
[ 1, 3, 1, 3 ],
[ -2, 4, 2, 4 ],
[ 1, 4, 1, 4 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ 4, -5, 4, 5 ],
[ 2, 1, -2, 1, 4 ]
], [ (1, 1), (2, 15), (3, 2), (4, 16), (6, 6), (12, 8) ], [ (1, 1), (2, 15), (3, 1), (4, 27), (6, 7), (8, 7), (12, 11), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 43)(26, 44)(27, 45)(28, 46)(29, 47)(30, 48)(31, 40)(32, 41)(33, 42)(34, 37)(35, 38)(36, 39)", perm"(1, 10, 4, 7)(2, 11, 5, 
8)(3, 12, 6, 9)(13, 19, 16, 22)(14, 20, 17, 23)(15, 21, 18, 24)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ],
[ 1, 2, 1, 2, 3 ]
], [
[ 1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -3, -3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ],
[ 1, 2, 1, 2, 3 ]
], [ (1, 1), (2, 17), (3, 2), (4, 2), (6, 10), (8, 12), (12, 4) ], [ (1, 1), (2, 17), (3, 1), (4, 9), (6, 9), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 
28, 4, 25)(2, 29, 5, 26)(3, 30, 6, 27)(7, 34, 10, 31)(8, 35, 11, 32)(9, 36, 12, 33)(13, 40, 16, 37)(14, 41, 17, 38)(15, 42, 18, 39)(19, 46, 22, 43)(20, 47, 23, 44)(21, 48, 24, 45)", perm"(1, 13)(2, 
14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 43)(26, 44)(27, 45)(28, 46)(29, 47)(30, 48)(31, 40)(32, 41)(33, 42)(34, 37)(35, 38)(36, 39)", perm"(1, 10, 4, 7)(2, 11,
5, 8)(3, 12, 6, 9)(13, 19, 16, 22)(14, 20, 17, 23)(15, 21, 18, 24)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ],
[ -1, 2, -1, 2, -3 ]
], [
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, -3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ],
[ -1, 2, -1, 2, -3 ]
], [ (1, 1), (2, 5), (3, 2), (4, 14), (6, 10), (8, 12), (12, 4) ], [ (1, 1), (2, 5), (3, 1), (4, 9), (6, 5), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 
25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 16, 4, 
13)(2, 17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 46, 28, 43)(26, 47, 29, 44)(27, 48, 30, 45)(31, 37, 34, 40)(32, 38, 35, 41)(33, 39, 36, 42)", perm"(1, 10, 4, 7)(2, 11,
5, 8)(3, 12, 6, 9)(13, 19, 16, 22)(14, 20, 17, 23)(15, 21, 18, 24)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -2, -2, 4 ],
[ -3, 2, 2, -3 ],
[ -2, -3, 2, -3 ],
[ 1, -3, 1, -3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -3, -5, 3, 5 ],
[ -2, 1, -2, 1, 3 ]
], [
[ -2, -2, 4 ],
[ -3, 2, 2, -3 ],
[ -2, -3, 2, -3 ],
[ 1, -3, 1, -3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -3, -5, 3, 5 ],
[ -2, 1, -2, 1, 3 ]
], [ (1, 1), (2, 13), (3, 2), (4, 6), (6, 2), (8, 12), (12, 12) ], [ (1, 1), (2, 13), (3, 1), (4, 9), (6, 5), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 
28, 4, 25)(2, 29, 5, 26)(3, 30, 6, 27)(7, 34, 10, 31)(8, 35, 11, 32)(9, 36, 12, 33)(13, 40, 16, 37)(14, 41, 17, 38)(15, 42, 18, 39)(19, 46, 22, 43)(20, 47, 23, 44)(21, 48, 24, 45)", perm"(1, 16, 4, 
13)(2, 17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 46, 28, 43)(26, 47, 29, 44)(27, 48, 30, 45)(31, 37, 34, 40)(32, 38, 35, 41)(33, 39, 36, 42)", perm"(1, 10, 4, 7)(2, 11,
5, 8)(3, 12, 6, 9)(13, 19, 16, 22)(14, 20, 17, 23)(15, 21, 18, 24)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ],
[ -3, -5, 3, 5 ],
[ -1, -2, -1, 2, -3 ]
], [
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -3, 1, 1, -3 ],
[ -1, -3, 1, -3 ],
[ -2, -3, 2, -3 ],
[ -1, -5, 1, -5 ],
[ -2, -5, 2, 5 ],
[ -3, -5, 3, 5 ],
[ -1, -2, -1, 2, -3 ]
], [ (1, 1), (2, 1), (3, 2), (4, 18), (6, 2), (8, 12), (12, 12) ], [ (1, 1), (2, 1), (3, 1), (4, 9), (6, 1), (8, 7), (12, 5), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 
31, 7, 25)(2, 32, 8, 26)(3, 33, 9, 27)(4, 34, 10, 28)(5, 35, 11, 29)(6, 36, 12, 30)(13, 43, 19, 37)(14, 44, 20, 38)(15, 45, 21, 39)(16, 46, 22, 40)(17, 47, 23, 41)(18, 48, 24, 42)", perm"(1, 13)(2, 
14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 40)(26, 41)(27, 42)(28, 37)(29, 38)(30, 39)(31, 46)(32, 47)(33, 48)(34, 43)(35, 44)(36, 45)", perm"(1, 7)(2, 8)(3, 
9)(4, 10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 
10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10,
12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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], [ (1, 1), (2, 7), (3, 2), (4, 24), (6, 14) ], [ (1, 1), (2, 7), (3, 1), (4, 19), (6, 7), (8, 7), (12, 11), (16, 3), (24, 3), (48, 1) ], false, false, true, false, 192), ([ perm"(1, 27, 3, 25)(2, 
28, 4, 26)(5, 31, 7, 29)(6, 32, 8, 30)(9, 35, 11, 33)(10, 36, 12, 34)(13, 39, 15, 37)(14, 40, 16, 38)(17, 43, 19, 41)(18, 44, 20, 42)(21, 47, 23, 45)(22, 48, 24, 46)", perm"(1, 14, 2, 13)(3, 16, 4, 
15)(5, 18, 6, 17)(7, 20, 8, 19)(9, 22, 10, 21)(11, 24, 12, 23)(25, 38, 26, 37)(27, 40, 28, 39)(29, 42, 30, 41)(31, 44, 32, 43)(33, 46, 34, 45)(35, 48, 36, 47)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 7)(4, 
12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 
12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)", perm"(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)" ], [
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], [
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[ -2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (3, 2), (4, 12), (6, 6), (12, 24) ], [ (1, 1), (2, 3), (3, 1), (4, 7), (6, 3), (8, 3), (12, 7), (16, 1), (24, 3), (48, 1) ], true, false, true, true, 192), ([ perm"(1, 26, 2, 
25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 39)(26, 40)(27, 37)(28, 38)(29, 43)(30, 44)(31, 41)(32, 42)(33, 47)(34, 48)(35, 45)(36, 46)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 
7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 
12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)", perm"(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)" ], [
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[ 2, 5, 2, 5 ],
[ 1, 2, -1, 2, 4 ]
], [
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[ -3, 4, 3, 4 ],
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[ 1, 2, -1, 2, 4 ]
], [ (1, 1), (2, 7), (3, 2), (4, 8), (6, 14), (12, 16) ], [ (1, 1), (2, 7), (3, 1), (4, 11), (6, 7), (8, 3), (12, 11), (16, 1), (24, 3), (48, 1) ], false, false, true, true, 64), ([ perm"(1, 26, 2, 
25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 15, 3, 13)(2, 
16, 4, 14)(5, 19, 7, 17)(6, 20, 8, 18)(9, 23, 11, 21)(10, 24, 12, 22)(25, 37, 27, 39)(26, 38, 28, 40)(29, 41, 31, 43)(30, 42, 32, 44)(33, 45, 35, 47)(34, 46, 36, 48)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 
7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 
12)(13, 15)(14, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
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[ -1, -1, 5 ],
[ -1, -2, 1, -2 ],
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[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ]
], [
[ -1, -1, 5 ],
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[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (3, 2), (4, 12), (6, 6), (12, 24) ], [ (1, 1), (2, 3), (3, 1), (4, 7), (6, 3), (8, 3), (12, 7), (16, 1), (24, 3), (48, 1) ], false, false, true, true, 64), ([ perm"(1, 28, 4, 26, 
2, 27, 3, 25)(5, 32, 8, 30, 6, 31, 7, 29)(9, 36, 12, 34, 10, 35, 11, 33)(13, 40, 16, 38, 14, 39, 15, 37)(17, 44, 20, 42, 18, 43, 19, 41)(21, 48, 24, 46, 22, 47, 23, 45)", perm"(1, 13)(2, 14)(3, 15)(4,
16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 7)(4, 
12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 
11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 23)(25, 28, 26, 27)(29, 32, 30, 31)(33, 36, 34, 35)(37, 40, 38, 39)(41, 44, 42, 43)(45, 48, 46, 47)", perm"(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)" ], [
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[ 5, 5 ],
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[ 4, 1, 1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (3, 2), (4, 4), (6, 6), (8, 8), (12, 8), (24, 16) ], [ (1, 1), (2, 3), (3, 1), (4, 3), (6, 3), (8, 3), (12, 3), (16, 1), (24, 3), (48, 1) ], true, false, true, true, 32), ([ 
perm"(1, 28, 4, 26, 2, 27, 3, 25)(5, 32, 8, 30, 6, 31, 7, 29)(9, 36, 12, 34, 10, 35, 11, 33)(13, 40, 16, 38, 14, 39, 15, 37)(17, 44, 20, 42, 18, 43, 19, 41)(21, 48, 24, 46, 22, 47, 23, 45)", perm"(1, 
13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 38)(26, 37)(27, 40)(28, 39)(29, 42)(30, 41)(31, 44)(32, 43)(33, 46)(34, 45)(35, 48)(36, 47)", perm"(1, 9, 5)(2, 
10, 6)(3, 11, 7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 4, 2, 3)(5, 8, 6, 
7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 23)(25, 28, 26, 27)(29, 32, 30, 31)(33, 36, 34, 35)(37, 40, 38, 39)(41, 44, 42, 43)(45, 48, 46, 47)", perm"(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)" ], [
[ 2, 2 ],
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[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 2, -4, 2, 4 ],
[ -1, 2, -1, 2, -4 ]
], [
[ -1, -1, 4 ],
[ 4, 1, 1, 5 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 2, -4, 2, 4 ],
[ -1, 2, -1, 2, -4 ]
], [ (1, 1), (2, 3), (3, 2), (4, 4), (6, 6), (8, 8), (12, 8), (24, 16) ], [ (1, 1), (2, 3), (3, 1), (4, 3), (6, 3), (8, 3), (12, 3), (16, 1), (24, 3), (48, 1) ], false, false, true, true, 32), ([ 
perm"(1, 25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 
13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 39)(26, 40)(27, 38)(28, 37)(29, 43)(30, 44)(31, 42)(32, 41)(33, 47)(34, 48)(35, 46)(36, 45)", perm"(1, 9, 5)(2, 
10, 6)(3, 11, 7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 4, 2, 3)(5, 8, 6, 
7)(9, 12, 10, 11)(13, 15, 14, 16)(17, 19, 18, 20)(21, 23, 22, 24)(25, 27, 26, 28)(29, 31, 30, 32)(33, 35, 34, 36)(37, 40, 38, 39)(41, 44, 42, 43)(45, 48, 46, 47)", perm"(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)" ], [
[ 1, 1 ],
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[ 3, 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ 1, -3, 1, 3 ],
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[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ -4, -4, 5 ],
[ 1, 2, 1, 2, 4 ]
], [
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ -4, -4, 5 ],
[ 1, 2, 1, 2, 4 ]
], [ (1, 1), (2, 9), (3, 2), (4, 2), (6, 18), (8, 4), (12, 4), (24, 8) ], [ (1, 1), (2, 9), (3, 1), (4, 5), (6, 9), (8, 3), (12, 5), (16, 1), (24, 3), (48, 1) ], false, false, true, true, 64), ([ 
perm"(1, 26, 2, 25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 
13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 39)(26, 40)(27, 38)(28, 37)(29, 43)(30, 44)(31, 42)(32, 41)(33, 47)(34, 48)(35, 46)(36, 45)", perm"(1, 9, 5)(2, 
10, 6)(3, 11, 7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 4, 2, 3)(5, 8, 6, 
7)(9, 12, 10, 11)(13, 15, 14, 16)(17, 19, 18, 20)(21, 23, 22, 24)(25, 27, 26, 28)(29, 31, 30, 32)(33, 35, 34, 36)(37, 40, 38, 39)(41, 44, 42, 43)(45, 48, 46, 47)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
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[ 3, 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ -1, 2, -1, 2, -4 ]
], [
[ -1, -1, 5 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ 2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ -1, 2, -1, 2, -4 ]
], [ (1, 1), (2, 5), (3, 2), (4, 6), (6, 10), (8, 4), (12, 12), (24, 8) ], [ (1, 1), (2, 5), (3, 1), (4, 5), (6, 5), (8, 3), (12, 5), (16, 1), (24, 3), (48, 1) ], false, false, true, true, 32), ([ 
perm"(1, 26, 2, 25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 
14, 2, 13)(3, 16, 4, 15)(5, 18, 6, 17)(7, 20, 8, 19)(9, 22, 10, 21)(11, 24, 12, 23)(25, 40, 26, 39)(27, 37, 28, 38)(29, 44, 30, 43)(31, 41, 32, 42)(33, 48, 34, 47)(35, 45, 36, 46)", perm"(1, 9, 5)(2, 
10, 6)(3, 11, 7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 4, 2, 3)(5, 8, 6, 
7)(9, 12, 10, 11)(13, 15, 14, 16)(17, 19, 18, 20)(21, 23, 22, 24)(25, 27, 26, 28)(29, 31, 30, 32)(33, 35, 34, 36)(37, 40, 38, 39)(41, 44, 42, 43)(45, 48, 46, 47)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, -4 ],
[ -3, -4, 3, 4 ],
[ -1, -2, -1, 2, -4 ]
], [
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -4, 1, 1, -4 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ],
[ -1, -4, 1, -4 ],
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[ -3, -4, 3, 4 ],
[ -1, -2, -1, 2, -4 ]
], [ (1, 1), (2, 1), (3, 2), (4, 10), (6, 2), (8, 4), (12, 20), (24, 8) ], [ (1, 1), (2, 1), (3, 1), (4, 5), (6, 1), (8, 3), (12, 5), (16, 1), (24, 3), (48, 1) ], false, false, true, true, 64), ([ 
perm"(1, 26, 2, 25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 
17, 9)(2, 18, 10)(3, 19, 11)(4, 20, 12)(5, 21, 13)(6, 22, 14)(7, 23, 15)(8, 24, 16)(25, 33, 41)(26, 34, 42)(27, 35, 43)(28, 36, 44)(29, 37, 45)(30, 38, 46)(31, 39, 47)(32, 40, 48)", perm"(1, 6, 2, 
5)(3, 8, 4, 7)(9, 11, 10, 12)(13, 16, 14, 15)(17, 23, 18, 24)(19, 22, 20, 21)(25, 28, 26, 27)(29, 31, 30, 32)(33, 40, 34, 39)(35, 37, 36, 38)(41, 45, 42, 46)(43, 47, 44, 48)", perm"(1, 4, 2, 3)(5, 7, 
6, 8)(9, 16, 10, 15)(11, 13, 12, 14)(17, 21, 18, 22)(19, 23, 20, 24)(25, 30, 26, 29)(27, 32, 28, 31)(33, 35, 34, 36)(37, 40, 38, 39)(41, 47, 42, 48)(43, 46, 44, 45)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
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[ 3, 3, 3, 3 ],
[ 4, 4, 4, 4 ],
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[ -3, 1, 1, -3 ],
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[ -1, -2, 1, -2 ],
[ -1, -3, 1, 4 ],
[ -2, -3, 2, -4 ],
[ -3, -4, 3, -4 ],
[ 2, -3, -2, 3, -4 ]
], [
[ -1, -1, 5 ],
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26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 17, 9)(2, 18, 
10)(3, 19, 11)(4, 20, 12)(5, 21, 13)(6, 22, 14)(7, 23, 15)(8, 24, 16)(25, 33, 41)(26, 34, 42)(27, 35, 43)(28, 36, 44)(29, 37, 45)(30, 38, 46)(31, 39, 47)(32, 40, 48)", perm"(1, 6, 2, 5)(3, 8, 4, 7)(9,
11, 10, 12)(13, 16, 14, 15)(17, 23, 18, 24)(19, 22, 20, 21)(25, 28, 26, 27)(29, 31, 30, 32)(33, 40, 34, 39)(35, 37, 36, 38)(41, 45, 42, 46)(43, 47, 44, 48)", perm"(1, 4, 2, 3)(5, 7, 6, 8)(9, 16, 10, 
15)(11, 13, 12, 14)(17, 21, 18, 22)(19, 23, 20, 24)(25, 30, 26, 29)(27, 32, 28, 31)(33, 35, 34, 36)(37, 40, 38, 39)(41, 47, 42, 48)(43, 46, 44, 45)", perm"(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)" ], [
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], [ (1, 1), (2, 13), (3, 8), (4, 6), (6, 8), (8, 12) ], [ (1, 1), (2, 13), (3, 4), (4, 9), (6, 12), (8, 7), (12, 4), (16, 3), (24, 1), (48, 1) ], false, false, true, false, 48), ([ perm"(1, 37, 13, 
25)(2, 38, 14, 26)(3, 39, 15, 27)(4, 40, 16, 28)(5, 41, 17, 29)(6, 42, 18, 30)(7, 43, 19, 31)(8, 44, 20, 32)(9, 45, 21, 33)(10, 46, 22, 34)(11, 47, 23, 35)(12, 48, 24, 36)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 
7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 29, 33)(26, 30, 34)(27, 31, 35)(28, 32, 36)(37, 41, 45)(38, 42, 46)(39, 43, 47)(40, 44, 48)", perm"(1, 3)(2, 4)(5, 6)(7, 8)(9, 12)(10, 
11)(13, 15)(14, 16)(17, 18)(19, 20)(21, 24)(22, 23)(25, 26)(27, 28)(29, 32)(30, 31)(33, 35)(34, 36)(37, 38)(39, 40)(41, 44)(42, 43)(45, 47)(46, 48)", perm"(1, 2)(3, 4)(5, 8)(6, 7)(9, 11)(10, 12)(13, 
14)(15, 16)(17, 20)(18, 19)(21, 23)(22, 24)(25, 27)(26, 28)(29, 30)(31, 32)(33, 36)(34, 35)(37, 39)(38, 40)(41, 42)(43, 44)(45, 48)(46, 47)" ], [
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[ -1, 4, 1, 5 ],
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], [ (1, 1), (2, 7), (3, 8), (4, 24), (6, 8) ], [ (1, 1), (2, 7), (3, 4), (4, 19), (6, 4), (8, 7), (12, 5), (16, 3), (24, 1), (48, 1) ], false, false, true, false, 48), ([ perm"(1, 29, 5, 25)(2, 30, 
6, 26)(3, 31, 7, 27)(4, 32, 8, 28)(9, 37, 13, 33)(10, 38, 14, 34)(11, 39, 15, 35)(12, 40, 16, 36)(17, 45, 21, 41)(18, 46, 22, 42)(19, 47, 23, 43)(20, 48, 24, 44)", perm"(1, 17, 9)(2, 18, 10)(3, 19, 
11)(4, 20, 12)(5, 21, 13)(6, 22, 14)(7, 23, 15)(8, 24, 16)(25, 41, 33)(26, 42, 34)(27, 43, 35)(28, 44, 36)(29, 45, 37)(30, 46, 38)(31, 47, 39)(32, 48, 40)", perm"(1, 5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 
14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 10)(11, 12)(13, 
14)(15, 16)(17, 20)(18, 19)(21, 24)(22, 23)(25, 27)(26, 28)(29, 31)(30, 32)(33, 34)(35, 36)(37, 38)(39, 40)(41, 44)(42, 43)(45, 48)(46, 47)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 12)(10, 11)(13, 16)(14, 
15)(17, 19)(18, 20)(21, 23)(22, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 36)(34, 35)(37, 40)(38, 39)(41, 43)(42, 44)(45, 47)(46, 48)" ], [
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[ -1, -2, 1, 2 ],
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[ -2, 4, 2, 5 ],
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[ 2, 4, -2, 4, 5 ]
], [ (1, 1), (2, 7), (3, 8), (4, 8), (6, 8), (12, 16) ], [ (1, 1), (2, 7), (3, 4), (4, 11), (6, 4), (8, 7), (12, 5), (16, 1), (24, 1), (48, 1) ], false, false, true, false, 48), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 17, 9)(2, 18, 
10)(3, 19, 11)(4, 20, 12)(5, 21, 13)(6, 22, 14)(7, 23, 15)(8, 24, 16)(25, 41, 33)(26, 42, 34)(27, 43, 35)(28, 44, 36)(29, 45, 37)(30, 46, 38)(31, 47, 39)(32, 48, 40)", perm"(1, 6, 2, 5)(3, 8, 4, 7)(9,
12, 10, 11)(13, 15, 14, 16)(17, 24, 18, 23)(19, 21, 20, 22)(25, 30, 26, 29)(27, 32, 28, 31)(33, 36, 34, 35)(37, 39, 38, 40)(41, 48, 42, 47)(43, 45, 44, 46)", perm"(1, 4, 2, 3)(5, 7, 6, 8)(9, 16, 10, 
15)(11, 13, 12, 14)(17, 22, 18, 21)(19, 24, 20, 23)(25, 28, 26, 27)(29, 31, 30, 32)(33, 40, 34, 39)(35, 37, 36, 38)(41, 46, 42, 45)(43, 48, 44, 47)", perm"(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)" ], [
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[ -2, 1, 2, 1 ],
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[ 1, -3, 1, 3 ],
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[ -4, 3, 3, -4 ],
[ -3, -4, 3, -4 ],
[ 2, -3, -2, 3, 4 ]
], [
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[ 1, -3, 1, 3 ],
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[ -4, 3, 3, -4 ],
[ -3, -4, 3, -4 ],
[ 2, -3, -2, 3, 4 ]
], [ (1, 1), (2, 3), (3, 8), (4, 12), (6, 24) ], [ (1, 1), (2, 3), (3, 4), (4, 7), (6, 12), (8, 7), (12, 4), (16, 1), (24, 1), (48, 1) ], false, false, true, false, 48), ([ perm"(1, 26, 2, 25)(3, 28, 
4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 17, 9)(2, 18, 10)(3, 19, 
11)(4, 20, 12)(5, 21, 13)(6, 22, 14)(7, 23, 15)(8, 24, 16)(25, 41, 33)(26, 42, 34)(27, 43, 35)(28, 44, 36)(29, 45, 37)(30, 46, 38)(31, 47, 39)(32, 48, 40)", perm"(1, 6, 2, 5)(3, 8, 4, 7)(9, 12, 10, 
11)(13, 15, 14, 16)(17, 24, 18, 23)(19, 21, 20, 22)(25, 30, 26, 29)(27, 32, 28, 31)(33, 36, 34, 35)(37, 39, 38, 40)(41, 48, 42, 47)(43, 45, 44, 46)", perm"(1, 4, 2, 3)(5, 7, 6, 8)(9, 16, 10, 15)(11, 
13, 12, 14)(17, 22, 18, 21)(19, 24, 20, 23)(25, 28, 26, 27)(29, 31, 30, 32)(33, 40, 34, 39)(35, 37, 36, 38)(41, 46, 42, 45)(43, 48, 44, 47)", perm"(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)" ], [
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[ -3, 1, 1, -3 ],
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[ -1, -2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 4 ],
[ -3, -4, 3, -4 ],
[ 2, -3, -2, 3, 4 ]
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[ -3, 1, 1, -3 ],
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[ -1, -2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 4 ],
[ -3, -4, 3, -4 ],
[ 2, -3, -2, 3, 4 ]
], [ (1, 1), (2, 7), (3, 8), (4, 8), (6, 8), (12, 16) ], [ (1, 1), (2, 7), (3, 4), (4, 7), (6, 4), (8, 7), (12, 4), (16, 1), (24, 1), (48, 1) ], false, false, true, false, 48), ([ perm"(1, 28, 4, 
25)(2, 29, 5, 26)(3, 30, 6, 27)(7, 34, 10, 31)(8, 35, 11, 32)(9, 36, 12, 33)(13, 40, 16, 37)(14, 41, 17, 38)(15, 42, 18, 39)(19, 46, 22, 43)(20, 47, 23, 44)(21, 48, 24, 45)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 10, 4, 7)(2, 11, 5, 
8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 43, 40, 46)(38, 44, 41, 47)(39, 45, 42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, 2, 1, 2 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ]
], [
[ -1, -1, 4 ],
[ -3, 1, 1, -3 ],
[ -1, 2, 1, 2 ],
[ -1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ]
], [ (1, 1), (2, 3), (3, 2), (4, 28), (6, 6), (12, 8) ], [ (1, 1), (2, 3), (3, 1), (4, 15), (6, 3), (8, 19), (12, 7), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 384), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 10, 4, 7)(2, 11, 5, 
8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 34, 28, 31)(26, 35, 29, 32)(27, 36, 30, 33)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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[ 3, 3, 3, 3 ],
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[ 5, 5, 5 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ]
], [
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ]
], [ (1, 1), (2, 15), (3, 2), (4, 16), (6, 6), (12, 8) ], [ (1, 1), (2, 15), (3, 1), (4, 27), (6, 7), (8, 19), (12, 11), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 192), ([ perm"(1, 
25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 
14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 10, 4, 7)(2, 11,
5, 8)(3, 12, 6, 9)(13, 22, 16, 19)(14, 23, 17, 20)(15, 24, 18, 21)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 43, 40, 46)(38, 44, 41, 47)(39, 45, 42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
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[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ]
], [
[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ -3, -5, 3, 5 ]
], [ (1, 1), (2, 27), (3, 2), (4, 4), (6, 6), (12, 8) ], [ (1, 1), (2, 27), (3, 1), (4, 39), (6, 11), (8, 19), (12, 15), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 384), ([ perm"(1, 
25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 16, 4, 
13)(2, 17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 40, 28, 37)(26, 41, 29, 38)(27, 42, 30, 39)(31, 46, 34, 43)(32, 47, 35, 44)(33, 48, 36, 45)", perm"(1, 7)(2, 8)(3, 
9)(4, 10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 34)(26, 35)(27, 36)(28, 31)(29, 32)(30, 33)(37, 46)(38, 47)(39, 48)(40, 43)(41, 44)(42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 
10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10,
12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
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[ 3, 3 ],
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[ 5, 5, 5 ],
[ -2, -2, 4 ],
[ -2, 1, 2, 1 ],
[ -2, 3, 2, 3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ 3, -5, 3, 5 ],
[ 3, 1, 2, 2, 3, 1 ]
], [
[ -2, -2, 4 ],
[ -2, 1, 2, 1 ],
[ -2, 3, 2, 3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ 3, -5, 3, 5 ],
[ 3, 1, 2, 2, 3, 1 ]
], [ (1, 1), (2, 15), (3, 2), (4, 16), (6, 6), (12, 8) ], [ (1, 1), (2, 15), (3, 1), (4, 15), (6, 7), (8, 19), (12, 7), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 22)(14, 23)(15, 24)(16, 19)(17, 20)(18, 21)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 46)(38, 47)(39, 48)(40, 43)(41, 44)(42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
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[ 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
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[ 2, 3, 2, 3, 4 ]
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], [ (1, 1), (2, 23), (3, 2), (4, 8), (6, 10), (12, 4) ], [ (1, 1), (2, 23), (3, 1), (4, 39), (6, 11), (8, 19), (12, 15), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 
25)(2, 26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 16, 4, 
13)(2, 17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 40, 28, 37)(26, 41, 29, 38)(27, 42, 30, 39)(31, 46, 34, 43)(32, 47, 35, 44)(33, 48, 36, 45)", perm"(1, 7)(2, 8)(3, 
9)(4, 10)(5, 11)(6, 12)(13, 22)(14, 23)(15, 24)(16, 19)(17, 20)(18, 21)(25, 34)(26, 35)(27, 36)(28, 31)(29, 32)(30, 33)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 
10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10,
12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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[ 3, 1, 2, 2, 3, 1 ]
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[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ 3, -5, 3, 5 ],
[ 3, 1, 2, 2, 3, 1 ]
], [ (1, 1), (2, 11), (3, 2), (4, 20), (6, 10), (12, 4) ], [ (1, 1), (2, 11), (3, 1), (4, 15), (6, 7), (8, 19), (12, 7), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 96), ([ perm"(1, 25)(2,
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 16, 4, 13)(2, 
17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 40, 28, 37)(26, 41, 29, 38)(27, 42, 30, 39)(31, 46, 34, 43)(32, 47, 35, 44)(33, 48, 36, 45)", perm"(1, 10, 4, 7)(2, 11, 5, 
8)(3, 12, 6, 9)(13, 19, 16, 22)(14, 20, 17, 23)(15, 21, 18, 24)(25, 34, 28, 31)(26, 35, 29, 32)(27, 36, 30, 33)(37, 43, 40, 46)(38, 44, 41, 47)(39, 45, 42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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[ 3, 3, 3, 3 ],
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[ -2, 1, 2, 1 ],
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[ 1, -3, 1, 3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -3, -5, 3, 5 ]
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[ -2, -5, 2, 5 ],
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[ -3, -5, 3, 5 ]
], [ (1, 1), (2, 7), (3, 2), (4, 24), (6, 2), (12, 12) ], [ (1, 1), (2, 7), (3, 1), (4, 15), (6, 3), (8, 19), (12, 7), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 288), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 16, 4, 13)(2, 
17, 5, 14)(3, 18, 6, 15)(7, 22, 10, 19)(8, 23, 11, 20)(9, 24, 12, 21)(25, 40, 28, 37)(26, 41, 29, 38)(27, 42, 30, 39)(31, 46, 34, 43)(32, 47, 35, 44)(33, 48, 36, 45)", perm"(1, 10, 4, 7)(2, 11, 5, 
8)(3, 12, 6, 9)(13, 19, 16, 22)(14, 20, 17, 23)(15, 21, 18, 24)(25, 31, 28, 34)(26, 32, 29, 35)(27, 33, 30, 36)(37, 46, 40, 43)(38, 47, 41, 44)(39, 48, 42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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[ 3, 3, 3, 3 ],
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[ -2, -2, 4 ],
[ -3, 2, 2, -3 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, -3 ],
[ 1, -3, 1, -3 ],
[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -3, -5, 3, 5 ]
], [
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[ -3, 2, 2, -3 ],
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[ -2, -5, 2, 5 ],
[ 1, -5, 1, -5 ],
[ -3, -5, 3, 5 ]
], [ (1, 1), (2, 19), (3, 2), (4, 12), (6, 2), (12, 12) ], [ (1, 1), (2, 19), (3, 1), (4, 15), (6, 7), (8, 19), (12, 7), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 288), ([ perm"(1, 28, 
4, 25)(2, 29, 5, 26)(3, 30, 6, 27)(7, 34, 10, 31)(8, 35, 11, 32)(9, 36, 12, 33)(13, 40, 16, 37)(14, 41, 17, 38)(15, 42, 18, 39)(19, 46, 22, 43)(20, 47, 23, 44)(21, 48, 24, 45)", perm"(1, 13)(2, 14)(3,
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 
11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 
11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1, 1, 1 ],
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[ 3, 3 ],
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[ 5, 5, 5 ],
[ -1, -1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ 3, -5, 3, 5 ]
], [
[ -1, -1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ 3, -5, 3, 5 ]
], [ (1, 1), (2, 7), (3, 2), (4, 24), (6, 14) ], [ (1, 1), (2, 7), (3, 1), (4, 19), (6, 7), (8, 19), (12, 11), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 1152), ([ perm"(1, 25)(2, 26)(3, 
27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 15)(4, 
16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 10)(5, 
11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 34)(26, 35)(27, 36)(28, 31)(29, 32)(30, 33)(37, 46)(38, 47)(39, 48)(40, 43)(41, 44)(42, 45)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 
12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 
15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
[ 1, 1 ],
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[ 3, 3 ],
[ 4, 4 ],
[ 5, 5, 5 ],
[ 1, 2, 1, 2 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ 3, -5, 3, 5 ],
[ 4, -5, 4, 5 ],
[ 1, 3, 1, 3, 4 ]
], [
[ 1, 2, 1, 2 ],
[ 2, 3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ 3, 4, 3, 4 ],
[ 1, -5, 1, -5 ],
[ 2, -5, 2, 5 ],
[ 3, -5, 3, 5 ],
[ 4, -5, 4, 5 ],
[ 1, 3, 1, 3, 4 ]
], [ (1, 1), (2, 19), (3, 2), (4, 12), (6, 14) ], [ (1, 1), (2, 19), (3, 1), (4, 31), (6, 11), (8, 19), (12, 15), (16, 3), (24, 7), (48, 1) ], false, false, true, false, 192), ([ perm"(1, 26, 2, 
25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 5, 3)(2, 6, 4)(7, 11, 9)(8,
12, 10)(13, 17, 15)(14, 18, 16)(19, 23, 21)(20, 24, 22)(25, 29, 27)(26, 30, 28)(31, 35, 33)(32, 36, 34)(37, 41, 39)(38, 42, 40)(43, 47, 45)(44, 48, 46)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
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[ 3, 3 ],
[ 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ]
], [
[ -1, -1, 5 ],
[ -1, 2, 1, 2 ],
[ -1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ -1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ]
], [ (1, 1), (2, 7), (3, 2), (4, 8), (6, 14), (12, 16) ], [ (1, 1), (2, 7), (3, 1), (4, 11), (6, 7), (8, 7), (12, 11), (16, 1), (24, 7), (48, 1) ], true, false, true, true, 384), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 38)(26, 37)(27, 40)(28, 39)(29, 42)(30, 41)(31, 44)(32, 43)(33, 46)(34, 45)(35, 48)(36, 47)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 5, 3)(2, 6, 4)(7, 11, 9)(8,
12, 10)(13, 17, 15)(14, 18, 16)(19, 23, 21)(20, 24, 22)(25, 29, 27)(26, 30, 28)(31, 35, 33)(32, 36, 34)(37, 41, 39)(38, 42, 40)(43, 47, 45)(44, 48, 46)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4 ],
[ 5, 5 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ -4, 5, 4, 5 ],
[ 1, 2, 1, 2, 5 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ 1, 5, 1, 5 ],
[ 2, 5, 2, 5 ],
[ 3, 5, 3, 5 ],
[ -4, 5, 4, 5 ],
[ 1, 2, 1, 2, 5 ]
], [ (1, 1), (2, 11), (3, 2), (4, 4), (6, 22), (12, 8) ], [ (1, 1), (2, 11), (3, 1), (4, 15), (6, 11), (8, 7), (12, 15), (16, 1), (24, 7), (48, 1) ], false, false, true, true, 128), ([ perm"(1, 26, 2,
25)(3, 28, 4, 27)(5, 30, 6, 29)(7, 32, 8, 31)(9, 34, 10, 33)(11, 36, 12, 35)(13, 38, 14, 37)(15, 40, 16, 39)(17, 42, 18, 41)(19, 44, 20, 43)(21, 46, 22, 45)(23, 48, 24, 47)", perm"(1, 14, 2, 13)(3, 
16, 4, 15)(5, 18, 6, 17)(7, 20, 8, 19)(9, 22, 10, 21)(11, 24, 12, 23)(25, 37, 26, 38)(27, 39, 28, 40)(29, 41, 30, 42)(31, 43, 32, 44)(33, 45, 34, 46)(35, 47, 36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 
10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 5, 3)(2, 6, 4)(7, 11, 9)(8,
12, 10)(13, 17, 15)(14, 18, 16)(19, 23, 21)(20, 24, 22)(25, 29, 27)(26, 30, 28)(31, 35, 33)(32, 36, 34)(37, 41, 39)(38, 42, 40)(43, 47, 45)(44, 48, 46)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ 4, 4, 4 ],
[ 5, 5 ],
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ],
[ -1, -4, 1, 4 ],
[ -2, -4, 2, 4 ],
[ 3, -4, 3, 4 ]
], [
[ -1, -1, 5 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, 3, 1, 3 ],
[ -2, 3, 2, 3 ],
[ -1, -4, 1, 4 ],
[ -2, -4, 2, 4 ],
[ 3, -4, 3, 4 ]
], [ (1, 1), (2, 3), (3, 2), (4, 12), (6, 6), (12, 24) ], [ (1, 1), (2, 3), (3, 1), (4, 7), (6, 3), (8, 7), (12, 7), (16, 1), (24, 7), (48, 1) ], false, false, true, true, 384), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 38)(26, 37)(27, 40)(28, 39)(29, 42)(30, 41)(31, 44)(32, 43)(33, 46)(34, 45)(35, 48)(36, 47)", perm"(1, 8, 2, 7)(3, 10, 4, 
9)(5, 12, 6, 11)(13, 20, 14, 19)(15, 22, 16, 21)(17, 24, 18, 23)(25, 32, 26, 31)(27, 34, 28, 33)(29, 36, 30, 35)(37, 44, 38, 43)(39, 46, 40, 45)(41, 48, 42, 47)", perm"(1, 5, 3)(2, 6, 4)(7, 11, 9)(8, 
12, 10)(13, 17, 15)(14, 18, 16)(19, 23, 21)(20, 24, 22)(25, 29, 27)(26, 30, 28)(31, 35, 33)(32, 36, 34)(37, 41, 39)(38, 42, 40)(43, 47, 45)(44, 48, 46)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3, 3, 3 ],
[ 4, 4, 4 ],
[ 5, 5 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 5 ],
[ 1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ -3, -4, 3, 4 ],
[ 1, 2, 1, 2, 5 ]
], [
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, 5 ],
[ 1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ -3, -4, 3, 4 ],
[ 1, 2, 1, 2, 5 ]
], [ (1, 1), (2, 7), (3, 2), (4, 8), (6, 14), (12, 16) ], [ (1, 1), (2, 7), (3, 1), (4, 7), (6, 7), (8, 7), (12, 7), (16, 1), (24, 7), (48, 1) ], false, false, true, true, 96), ([ perm"(1, 25)(2, 
26)(3, 27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 
15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 
7)(4, 12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 29, 33)(26, 30, 34)(27, 31, 35)(28, 32, 36)(37, 41, 45)(38, 42, 46)(39, 43, 47)(40, 44, 48)", perm"(1, 3)(2, 4)(5, 6)(7, 8)(9, 12)(10, 
11)(13, 15)(14, 16)(17, 18)(19, 20)(21, 24)(22, 23)(25, 26)(27, 28)(29, 32)(30, 31)(33, 35)(34, 36)(37, 38)(39, 40)(41, 44)(42, 43)(45, 47)(46, 48)", perm"(1, 2)(3, 4)(5, 8)(6, 7)(9, 11)(10, 12)(13, 
14)(15, 16)(17, 20)(18, 19)(21, 23)(22, 24)(25, 27)(26, 28)(29, 30)(31, 32)(33, 36)(34, 35)(37, 39)(38, 40)(41, 42)(43, 44)(45, 48)(46, 47)" ], [
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27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 15)(4, 
16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 9, 5)(2, 10, 6)(3, 11, 7)(4, 
12, 8)(13, 21, 17)(14, 22, 18)(15, 23, 19)(16, 24, 20)(25, 33, 29)(26, 34, 30)(27, 35, 31)(28, 36, 32)(37, 45, 41)(38, 46, 42)(39, 47, 43)(40, 48, 44)", perm"(1, 3)(2, 4)(5, 6)(7, 8)(9, 12)(10, 
11)(13, 15)(14, 16)(17, 18)(19, 20)(21, 24)(22, 23)(25, 27)(26, 28)(29, 30)(31, 32)(33, 36)(34, 35)(37, 39)(38, 40)(41, 42)(43, 44)(45, 48)(46, 47)", perm"(1, 2)(3, 4)(5, 8)(6, 7)(9, 11)(10, 12)(13, 
14)(15, 16)(17, 20)(18, 19)(21, 23)(22, 24)(25, 26)(27, 28)(29, 32)(30, 31)(33, 35)(34, 36)(37, 38)(39, 40)(41, 44)(42, 43)(45, 47)(46, 48)" ], [
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35, 19)(4, 36, 20)(5, 37, 21)(6, 38, 22)(7, 39, 23)(8, 40, 24)(9, 41, 25)(10, 42, 26)(11, 43, 27)(12, 44, 28)(13, 45, 29)(14, 46, 30)(15, 47, 31)(16, 48, 32)", perm"(1, 9)(2, 10)(3, 11)(4, 12)(5, 
13)(6, 14)(7, 15)(8, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 45)(34, 46)(35, 47)(36, 48)(37, 41)(38, 42)(39, 43)(40, 44)", perm"(1, 5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 
14)(11, 15)(12, 16)(17, 29)(18, 30)(19, 31)(20, 32)(21, 25)(22, 26)(23, 27)(24, 28)(33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 
15)(14, 16)(17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 36)(34, 35)(37, 40)(38, 39)(41, 44)(42, 43)(45, 48)(46, 47)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 
16)(17, 20)(18, 19)(21, 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)" ], [
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31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 
20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 10)(5, 11)(6, 12)(13, 19)(14, 20)(15, 
21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 12)(13, 16)(14, 17)(15, 18)(19, 
22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 
20)(22, 24, 23)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)" ], [
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27)(4, 28)(5, 29)(6, 30)(7, 31)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)", perm"(1, 13)(2, 14)(3, 15)(4, 
16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)(25, 37)(26, 38)(27, 39)(28, 40)(29, 41)(30, 42)(31, 43)(32, 44)(33, 45)(34, 46)(35, 47)(36, 48)", perm"(1, 7)(2, 8)(3, 9)(4, 10)(5, 
11)(6, 12)(13, 19)(14, 20)(15, 21)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)", perm"(1, 4)(2, 5)(3, 6)(7, 10)(8, 11)(9, 
12)(13, 16)(14, 17)(15, 18)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(31, 34)(32, 35)(33, 36)(37, 40)(38, 41)(39, 42)(43, 46)(44, 47)(45, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 
15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 48, 47)" ], [
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21, 14, 7, 48, 41, 34, 27, 20, 13, 6, 47, 40, 33, 26, 19, 12, 5, 46, 39, 32, 25, 18, 11, 4, 45, 38, 31, 24, 17, 10, 3, 44, 37, 30, 23, 16, 9, 2, 43, 36, 29, 22, 15, 8)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 
14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(29, 35, 34, 33, 32, 31, 30)(36, 42, 41, 40, 39, 38, 37)(43, 49, 48, 47, 46, 45, 44)" ], [
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23)(29, 35, 34, 33, 32, 31, 30)(36, 42, 41, 40, 39, 38, 37)(43, 49, 48, 47, 46, 45, 44)" ], [
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[ -2, -2, -2, -2, -2, -2, -2 ]
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39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)", perm"(1, 25, 20, 15, 10, 5, 24, 19, 14, 9, 4, 23, 18, 13, 8, 3, 22, 17, 12, 7, 2, 21, 16, 11, 6)(26, 31, 
36, 41, 46, 27, 32, 37, 42, 47, 28, 33, 38, 43, 48, 29, 34, 39, 44, 49, 30, 35, 40, 45, 50)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 17)(21, 25, 24, 23, 22)(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)" ], [
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22, 17, 12, 7, 2, 21, 16, 11, 6)(26, 50, 45, 40, 35, 30, 49, 44, 39, 34, 29, 48, 43, 38, 33, 28, 47, 42, 37, 32, 27, 46, 41, 36, 31)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 
19, 18, 17)(21, 25, 24, 23, 22)(26, 30, 29, 28, 27)(31, 35, 34, 33, 32)(36, 40, 39, 38, 37)(41, 45, 44, 43, 42)(46, 50, 49, 48, 47)" ], [
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[ 1, -3, 1, 3 ],
[ 2, 2, 2, 2, 2, -3 ]
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[ -2, -3, 2, 3 ],
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[ 2, 2, 2, 2, 2, -3 ]
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32)(8, 33)(9, 34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)", perm"(1, 21, 16, 11, 6)(2, 22, 17, 12, 7)(3, 23, 18,
13, 8)(4, 24, 19, 14, 9)(5, 25, 20, 15, 10)(26, 46, 41, 36, 31)(27, 47, 42, 37, 32)(28, 48, 43, 38, 33)(29, 49, 44, 39, 34)(30, 50, 45, 40, 35)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 
12)(16, 20, 19, 18, 17)(21, 25, 24, 23, 22)(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)" ], [
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[ 2, 2, 2, 2, 2 ],
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ]
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ]
], [ (1, 1), (2, 5), (5, 24), (10, 20) ], [ (1, 1), (2, 5), (5, 6), (10, 6), (25, 1), (50, 1) ], false, false, true, false, 80), ([ perm"(1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 
34)(10, 35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)", perm"(1, 21, 16, 11, 6)(2, 22, 17, 12, 7)(3, 23, 18, 13, 8)(4, 24,
19, 14, 9)(5, 25, 20, 15, 10)(26, 31, 36, 41, 46)(27, 32, 37, 42, 47)(28, 33, 38, 43, 48)(29, 34, 39, 44, 49)(30, 35, 40, 45, 50)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19,
18, 17)(21, 25, 24, 23, 22)(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)" ], [
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ]
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ]
], [ (1, 1), (2, 25), (5, 24) ], [ (1, 1), (2, 25), (5, 6), (10, 30), (25, 1), (50, 1) ], false, false, true, false, 12000), ([ perm"(1, 26)(2, 27)(3, 28)(4, 29)(5, 30)(6, 31)(7, 32)(8, 33)(9, 34)(10,
35)(11, 36)(12, 37)(13, 38)(14, 39)(15, 40)(16, 41)(17, 42)(18, 43)(19, 44)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 50)", perm"(1, 21, 16, 11, 6)(2, 22, 17, 12, 7)(3, 23, 18, 13, 8)(4, 24, 19, 14,
9)(5, 25, 20, 15, 10)(26, 46, 41, 36, 31)(27, 47, 42, 37, 32)(28, 48, 43, 38, 33)(29, 49, 44, 39, 34)(30, 50, 45, 40, 35)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 12)(16, 20, 19, 18, 
17)(21, 25, 24, 23, 22)(26, 30, 29, 28, 27)(31, 35, 34, 33, 32)(36, 40, 39, 38, 37)(41, 45, 44, 43, 42)(46, 50, 49, 48, 47)" ], [
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[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ]
], [
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[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ]
], [ (1, 1), (2, 1), (5, 24), (10, 24) ], [ (1, 1), (2, 1), (5, 6), (10, 6), (25, 1), (50, 1) ], true, false, true, true, 480) ], [ ([ perm"(1, 35, 18)(2, 36, 19)(3, 37, 20)(4, 38, 21)(5, 39, 22)(6, 
40, 23)(7, 41, 24)(8, 42, 25)(9, 43, 26)(10, 44, 27)(11, 45, 28)(12, 46, 29)(13, 47, 30)(14, 48, 31)(15, 49, 32)(16, 50, 33)(17, 51, 34)", perm"(1, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3,
2)(18, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19)(35, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36)" ], [
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[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
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], [ (1, 1), (3, 2), (17, 16), (51, 32) ], [ (1, 1), (3, 1), (17, 1), (51, 1) ], true, true, true, true, 32) ], [ ([ perm"(1, 40, 14, 27)(2, 41, 15, 28)(3, 42, 16, 29)(4, 43, 17, 30)(5, 44, 18, 31)(6,
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23)(11, 24)(12, 25)(13, 26)(27, 40)(28, 41)(29, 42)(30, 43)(31, 44)(32, 45)(33, 46)(34, 47)(35, 48)(36, 49)(37, 50)(38, 51)(39, 52)", perm"(1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(14, 26, 25, 24, 
23, 22, 21, 20, 19, 18, 17, 16, 15)(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)" ], [
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[ -1, -3, 1, -3 ],
[ -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3 ]
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8, 33)(9, 36, 10, 35)(11, 38, 12, 37)(13, 40, 14, 39)(15, 42, 16, 41)(17, 44, 18, 43)(19, 46, 20, 45)(21, 48, 22, 47)(23, 50, 24, 49)(25, 52, 26, 51)", perm"(1, 25, 23, 21, 19, 17, 15, 13, 11, 9, 7, 
5, 3)(2, 26, 24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4)(27, 51, 49, 47, 45, 43, 41, 39, 37, 35, 33, 31, 29)(28, 52, 50, 48, 46, 44, 42, 40, 38, 36, 34, 32, 30)", perm"(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)" ], [
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[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
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[ -1, -2, 1, 2 ]
], [ (1, 1), (2, 1), (4, 2), (13, 12), (26, 12), (52, 24) ], [ (1, 1), (2, 1), (4, 1), (13, 1), (26, 1), (52, 1) ], true, true, true, true, 24), ([ perm"(1, 40, 14, 27)(2, 41, 15, 28)(3, 42, 16, 
29)(4, 43, 17, 30)(5, 44, 18, 31)(6, 45, 19, 32)(7, 46, 20, 33)(8, 47, 21, 34)(9, 48, 22, 35)(10, 49, 23, 36)(11, 50, 24, 37)(12, 51, 25, 38)(13, 52, 26, 39)", perm"(1, 14)(2, 15)(3, 16)(4, 17)(5, 
18)(6, 19)(7, 20)(8, 21)(9, 22)(10, 23)(11, 24)(12, 25)(13, 26)(27, 40)(28, 41)(29, 42)(30, 43)(31, 44)(32, 45)(33, 46)(34, 47)(35, 48)(36, 49)(37, 50)(38, 51)(39, 52)", perm"(1, 13, 12, 11, 10, 9, 8,
7, 6, 5, 4, 3, 2)(14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)(27, 32, 37, 29, 34, 39, 31, 36, 28, 33, 38, 30, 35)(40, 48, 43, 51, 46, 41, 49, 44, 52, 47, 42, 50, 45)" ], [
[ 1, 1, 1, 1 ],
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[ 2, -3, 2, -3 ],
[ 1, -3, -3, -1, -3, -3, -3 ]
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[ -1, -1, 2 ],
[ 2, -3, 2, -3 ],
[ 1, -3, -3, -1, -3, -3, -3 ]
], [ (1, 1), (2, 13), (4, 26), (13, 12) ], [ (1, 1), (2, 13), (4, 13), (13, 1), (26, 1), (52, 1) ], false, false, true, false, 156), ([ perm"(1, 27)(2, 28)(3, 29)(4, 30)(5, 31)(6, 32)(7, 33)(8, 34)(9,
35)(10, 36)(11, 37)(12, 38)(13, 39)(14, 40)(15, 41)(16, 42)(17, 43)(18, 44)(19, 45)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 51)(26, 52)", perm"(1, 14)(2, 15)(3, 16)(4, 17)(5, 18)(6, 19)(7, 20)(8, 
21)(9, 22)(10, 23)(11, 24)(12, 25)(13, 26)(27, 40)(28, 41)(29, 42)(30, 43)(31, 44)(32, 45)(33, 46)(34, 47)(35, 48)(36, 49)(37, 50)(38, 51)(39, 52)", perm"(1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 
2)(14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15)(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)" ], [
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[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3 ]
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[ 1, 2, 1, 2 ],
[ 1, -3, 1, -3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 27), (13, 12), (26, 12) ], [ (1, 1), (2, 27), (4, 13), (13, 1), (26, 3), (52, 1) ], false, false, true, false, 312), ([ perm"(1, 27)(2, 28)(3, 29)(4, 30)(5, 31)(6, 32)(7, 33)(8, 
34)(9, 35)(10, 36)(11, 37)(12, 38)(13, 39)(14, 40)(15, 41)(16, 42)(17, 43)(18, 44)(19, 45)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 51)(26, 52)", perm"(1, 14)(2, 15)(3, 16)(4, 17)(5, 18)(6, 19)(7, 
20)(8, 21)(9, 22)(10, 23)(11, 24)(12, 25)(13, 26)(27, 40)(28, 41)(29, 42)(30, 43)(31, 44)(32, 45)(33, 46)(34, 47)(35, 48)(36, 49)(37, 50)(38, 51)(39, 52)", perm"(1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 
3, 2)(14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15)(27, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28)(40, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3 ]
], [
[ 1, 2, 1, 2 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (13, 12), (26, 36) ], [ (1, 1), (2, 3), (4, 1), (13, 1), (26, 3), (52, 1) ], true, false, true, true, 72) ], [ ([ perm"(1, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 
39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
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-1, -1, -1, -1 ]
], [], [ (1, 1), (53, 52) ], [ (1, 1), (53, 1) ], true, true, true, true, 52) ], [ ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 
42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 22, 13, 4, 25, 16, 7, 21, 12, 3, 24, 15, 6, 27, 18, 9, 20, 11, 2, 23, 14, 5, 26, 17, 8, 
19, 10)(28, 37, 46, 35, 44, 53, 32, 41, 50, 29, 38, 47, 36, 45, 54, 33, 42, 51, 30, 39, 48, 34, 43, 52, 31, 40, 49)", perm"(1, 8, 5, 2, 9, 6, 3, 7, 4)(10, 17, 14, 11, 18, 15, 12, 16, 13)(19, 26, 23, 
20, 27, 24, 21, 25, 22)(28, 31, 34, 30, 33, 36, 29, 32, 35)(37, 40, 43, 39, 42, 45, 38, 41, 44)(46, 49, 52, 48, 51, 54, 47, 50, 53)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 
17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
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[ 2, 2, 2, 3 ],
[ -2, 1, -2, 1 ],
[ 3, 3, 3, 4 ]
], [
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[ -2, 1, -2, 1 ],
[ 3, 3, 3, 4 ]
], [ (1, 1), (2, 27), (3, 2), (9, 6), (27, 18) ], [ (1, 1), (2, 27), (3, 1), (6, 9), (9, 1), (18, 3), (27, 1), (54, 1) ], false, false, true, false, 486), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 
32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 27, 18, 9, 
24, 15, 6, 21, 12, 3, 26, 17, 8, 23, 14, 5, 20, 11, 2, 25, 16, 7, 22, 13, 4, 19, 10)(28, 54, 45, 36, 51, 42, 33, 48, 39, 30, 53, 44, 35, 50, 41, 32, 47, 38, 29, 52, 43, 34, 49, 40, 31, 46, 37)", 
perm"(1, 9, 6, 3, 8, 5, 2, 7, 4)(10, 18, 15, 12, 17, 14, 11, 16, 13)(19, 27, 24, 21, 26, 23, 20, 25, 22)(28, 36, 33, 30, 35, 32, 29, 34, 31)(37, 45, 42, 39, 44, 41, 38, 43, 40)(46, 54, 51, 48, 53, 50,
47, 52, 49)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 48, 
47)(49, 51, 50)(52, 54, 53)" ], [
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[ 2, 2, 2, -3 ],
[ -2, 1, 2, 1 ],
[ 3, 3, 3, -4 ]
], [
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[ 3, 3, 3, -4 ]
], [ (1, 1), (2, 1), (3, 2), (6, 2), (9, 6), (18, 6), (27, 18), (54, 18) ], [ (1, 1), (2, 1), (3, 1), (6, 1), (9, 1), (18, 1), (27, 1), (54, 1) ], true, true, true, true, 18), ([ perm"(1, 28)(2, 
29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", 
perm"(1, 19, 10)(2, 20, 11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 
44)(36, 54, 45)", perm"(1, 8, 5, 2, 9, 6, 3, 7, 4)(10, 17, 14, 11, 18, 15, 12, 16, 13)(19, 26, 23, 20, 27, 24, 21, 25, 22)(28, 31, 34, 30, 33, 36, 29, 32, 35)(37, 40, 43, 39, 42, 45, 38, 41, 44)(46, 
49, 52, 48, 51, 54, 47, 50, 53)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ 3, 3, 3, 4 ]
], [
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ 3, 3, 3, 4 ]
], [ (1, 1), (2, 9), (3, 8), (6, 18), (9, 18) ], [ (1, 1), (2, 9), (3, 4), (6, 12), (9, 4), (18, 4), (27, 1), (54, 1) ], false, false, true, false, 108), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6,
33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 25, 16, 7, 22, 13, 
4, 19, 10)(2, 26, 17, 8, 23, 14, 5, 20, 11)(3, 27, 18, 9, 24, 15, 6, 21, 12)(28, 52, 43, 34, 49, 40, 31, 46, 37)(29, 53, 44, 35, 50, 41, 32, 47, 38)(30, 54, 45, 36, 51, 42, 33, 48, 39)", perm"(1, 7, 
4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 34, 31)(29, 35, 32)(30, 36, 33)(37, 43, 40)(38, 44, 41)(39, 45, 42)(46, 52, 49)(47, 53, 50)(48, 54, 
51)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ 2, 2, 2, -3 ],
[ -2, 1, 2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ]
], [
[ 2, 2, 2, -3 ],
[ -2, 1, 2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ]
], [ (1, 1), (2, 3), (3, 8), (6, 6), (9, 18), (18, 18) ], [ (1, 1), (2, 3), (3, 4), (6, 4), (9, 4), (18, 4), (27, 1), (54, 1) ], false, false, true, false, 36), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5,
32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 
20, 11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 44)(36, 54, 45)", 
perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 18, 14)(11, 16, 15)(12, 17, 13)(19, 26, 24)(20, 27, 22)(21, 25, 23)(28, 31, 34)(29, 32, 35)(30, 33, 36)(37, 41, 45)(38, 42, 43)(39, 40, 44)(46, 51, 53)(47, 49, 
54)(48, 50, 52)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ],
[ 2, -3, -2, 3, -4 ]
], [
[ -2, 1, 2, 1 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ],
[ 2, -3, -2, 3, -4 ]
], [ (1, 1), (2, 9), (3, 26), (6, 18) ], [ (1, 1), (2, 9), (3, 13), (6, 21), (9, 4), (18, 4), (27, 1), (54, 1) ], false, false, true, false, 108), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7,
34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 20, 11)(3, 21, 
12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 44)(36, 54, 45)", perm"(1, 8, 5, 2, 9,
6, 3, 7, 4)(10, 16, 15, 11, 17, 13, 12, 18, 14)(19, 27, 22, 20, 25, 23, 21, 26, 24)(28, 31, 34, 30, 33, 36, 29, 32, 35)(37, 41, 45, 39, 40, 44, 38, 42, 43)(46, 51, 53, 48, 50, 52, 47, 49, 54)", 
perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ 1, -3, 1, -3 ],
[ 3, 3, 3, 4 ],
[ -2, -4, 2, 4 ],
[ 2, -3, -2, 3, -4 ]
], [
[ -2, 1, 2, 1 ],
[ 1, -3, 1, -3 ],
[ 3, 3, 3, 4 ],
[ -2, -4, 2, 4 ],
[ 2, -3, -2, 3, -4 ]
], [ (1, 1), (2, 9), (3, 8), (6, 18), (9, 18) ], [ (1, 1), (2, 9), (3, 4), (6, 12), (9, 4), (18, 4), (27, 1), (54, 1) ], false, false, true, false, 54), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 
33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 20, 11, 2, 21, 12, 
3, 19, 10)(4, 23, 14, 5, 24, 15, 6, 22, 13)(7, 26, 17, 8, 27, 18, 9, 25, 16)(28, 37, 46, 30, 39, 48, 29, 38, 47)(31, 40, 49, 33, 42, 51, 32, 41, 50)(34, 43, 52, 36, 45, 54, 35, 44, 53)", perm"(1, 7, 
4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 31, 34)(29, 32, 35)(30, 33, 36)(37, 40, 43)(38, 41, 44)(39, 42, 45)(46, 49, 52)(47, 50, 53)(48, 51, 
54)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ 2, 2, 2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ]
], [
[ 2, 2, 2, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ]
], [ (1, 1), (2, 27), (3, 8), (9, 18) ], [ (1, 1), (2, 27), (3, 4), (6, 36), (9, 4), (18, 12), (27, 1), (54, 1) ], false, false, true, false, 2916), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 
33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 20, 
11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 37, 46)(29, 38, 47)(30, 39, 48)(31, 40, 49)(32, 41, 50)(33, 42, 51)(34, 43, 52)(35, 44, 53)(36, 45, 54)", perm"(1, 
7, 4)(2, 8, 5)(3, 9, 6)(10, 18, 14)(11, 16, 15)(12, 17, 13)(19, 26, 24)(20, 27, 22)(21, 25, 23)(28, 31, 34)(29, 32, 35)(30, 33, 36)(37, 41, 45)(38, 42, 43)(39, 40, 44)(46, 51, 53)(47, 49, 54)(48, 50, 
52)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 48, 47)(49, 
51, 50)(52, 54, 53)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, -2, 1 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, 4 ],
[ -3, -4, 3, 4 ],
[ 2, -3, -2, 3, -4 ]
], [
[ -2, 1, -2, 1 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, 4 ],
[ -3, -4, 3, 4 ],
[ 2, -3, -2, 3, -4 ]
], [ (1, 1), (2, 9), (3, 26), (6, 18) ], [ (1, 1), (2, 9), (3, 13), (6, 21), (9, 4), (18, 12), (27, 1), (54, 1) ], false, false, true, false, 432), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 
33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 21, 12, 3, 20, 11, 
2, 19, 10)(4, 24, 15, 6, 23, 14, 5, 22, 13)(7, 27, 18, 9, 26, 17, 8, 25, 16)(28, 48, 39, 30, 47, 38, 29, 46, 37)(31, 51, 42, 33, 50, 41, 32, 49, 40)(34, 54, 45, 36, 53, 44, 35, 52, 43)", perm"(1, 7, 
4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 34, 31)(29, 35, 32)(30, 36, 33)(37, 43, 40)(38, 44, 41)(39, 45, 42)(46, 52, 49)(47, 53, 50)(48, 54, 
51)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 48, 47)(49, 
51, 50)(52, 54, 53)" ], [
[ 1, 1 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ 2, 2, 2, -4 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ]
], [
[ 2, 2, 2, -4 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ]
], [ (1, 1), (2, 1), (3, 8), (6, 8), (9, 18), (18, 18) ], [ (1, 1), (2, 1), (3, 4), (6, 4), (9, 4), (18, 4), (27, 1), (54, 1) ], true, false, true, true, 108), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 
32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 
20, 11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 44)(36, 54, 45)", 
perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 18, 14)(11, 16, 15)(12, 17, 13)(19, 26, 24)(20, 27, 22)(21, 25, 23)(28, 34, 31)(29, 35, 32)(30, 36, 33)(37, 45, 41)(38, 43, 42)(39, 44, 40)(46, 53, 51)(47, 54, 
49)(48, 52, 50)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 
48, 47)(49, 51, 50)(52, 54, 53)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ 1, -3, 1, 3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, 4 ],
[ -3, -4, 3, 4 ],
[ 2, -3, -2, 3, -4 ]
], [
[ -2, 1, 2, 1 ],
[ 1, -3, 1, 3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, 4 ],
[ -3, -4, 3, 4 ],
[ 2, -3, -2, 3, -4 ]
], [ (1, 1), (2, 1), (3, 26), (6, 26) ], [ (1, 1), (2, 1), (3, 13), (6, 13), (9, 4), (18, 4), (27, 1), (54, 1) ], false, false, true, true, 432), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 
34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 21, 12, 3, 20, 11, 2, 19, 
10)(4, 24, 15, 6, 23, 14, 5, 22, 13)(7, 27, 18, 9, 26, 17, 8, 25, 16)(28, 48, 39, 30, 47, 38, 29, 46, 37)(31, 51, 42, 33, 50, 41, 32, 49, 40)(34, 54, 45, 36, 53, 44, 35, 52, 43)", perm"(1, 7, 4)(2, 8,
5)(3, 9, 6)(10, 18, 14)(11, 16, 15)(12, 17, 13)(19, 26, 24)(20, 27, 22)(21, 25, 23)(28, 34, 31)(29, 35, 32)(30, 36, 33)(37, 45, 41)(38, 43, 42)(39, 44, 40)(46, 53, 51)(47, 54, 49)(48, 52, 50)", 
perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 48, 47)(49, 51, 
50)(52, 54, 53)" ], [
[ 1, 1 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ 2, 2, 2, -4 ],
[ -2, 1, 2, 1 ],
[ 1, -3, 1, 3 ],
[ -3, -4, 3, 4 ],
[ 3, -2, -2, -3, -2 ]
], [
[ 2, 2, 2, -4 ],
[ -2, 1, 2, 1 ],
[ 1, -3, 1, 3 ],
[ -3, -4, 3, 4 ],
[ 3, -2, -2, -3, -2 ]
], [ (1, 1), (2, 1), (3, 8), (6, 8), (9, 18), (18, 18) ], [ (1, 1), (2, 1), (3, 4), (6, 4), (9, 4), (18, 4), (27, 1), (54, 1) ], false, false, true, true, 54), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 
32)(6, 33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 
20, 11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 44)(36, 54, 45)", 
perm"(1, 7, 4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 34, 31)(29, 35, 32)(30, 36, 33)(37, 43, 40)(38, 44, 41)(39, 45, 42)(46, 52, 49)(47, 53, 
50)(48, 54, 51)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 3), (3, 26), (6, 24) ], [ (1, 1), (2, 3), (3, 13), (6, 13), (9, 13), (18, 7), (27, 1), (54, 1) ], false, false, true, false, 288), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 
33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 20, 
11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 44)(36, 54, 45)", perm"(1, 
7, 4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 31, 34)(29, 32, 35)(30, 33, 36)(37, 40, 43)(38, 41, 44)(39, 42, 45)(46, 49, 52)(47, 50, 53)(48, 51, 
54)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 9), (3, 26), (6, 18) ], [ (1, 1), (2, 9), (3, 13), (6, 21), (9, 13), (18, 13), (27, 1), (54, 1) ], false, false, true, false, 864), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 
33)(7, 34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 20, 
11)(3, 21, 12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 37, 46)(29, 38, 47)(30, 39, 48)(31, 40, 49)(32, 41, 50)(33, 42, 51)(34, 43, 52)(35, 44, 53)(36, 45, 54)", perm"(1, 
7, 4)(2, 8, 5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 31, 34)(29, 32, 35)(30, 33, 36)(37, 40, 43)(38, 41, 44)(39, 42, 45)(46, 49, 52)(47, 50, 53)(48, 51, 
54)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [
[ -2, 1, -2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, -3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 27), (3, 26) ], [ (1, 1), (2, 27), (3, 13), (6, 117), (9, 13), (18, 39), (27, 1), (54, 1) ], false, false, true, false, 303264), ([ perm"(1, 28)(2, 29)(3, 30)(4, 31)(5, 32)(6, 33)(7, 
34)(8, 35)(9, 36)(10, 37)(11, 38)(12, 39)(13, 40)(14, 41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 52)(26, 53)(27, 54)", perm"(1, 19, 10)(2, 20, 11)(3, 21, 
12)(4, 22, 13)(5, 23, 14)(6, 24, 15)(7, 25, 16)(8, 26, 17)(9, 27, 18)(28, 46, 37)(29, 47, 38)(30, 48, 39)(31, 49, 40)(32, 50, 41)(33, 51, 42)(34, 52, 43)(35, 53, 44)(36, 54, 45)", perm"(1, 7, 4)(2, 8,
5)(3, 9, 6)(10, 16, 13)(11, 17, 14)(12, 18, 15)(19, 25, 22)(20, 26, 23)(21, 27, 24)(28, 34, 31)(29, 35, 32)(30, 36, 33)(37, 43, 40)(38, 44, 41)(39, 45, 42)(46, 52, 49)(47, 53, 50)(48, 54, 51)", 
perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 42, 41)(43, 45, 44)(46, 48, 47)(49, 51, 
50)(52, 54, 53)" ], [
[ 1, 1 ],
[ 2, 2, 2 ],
[ 3, 3, 3 ],
[ 4, 4, 4 ],
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, 4 ],
[ -3, -4, 3, 4 ]
], [
[ -2, 1, 2, 1 ],
[ -2, -3, 2, 3 ],
[ 1, -3, 1, 3 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, 4 ],
[ -3, -4, 3, 4 ]
], [ (1, 1), (2, 1), (3, 26), (6, 26) ], [ (1, 1), (2, 1), (3, 13), (6, 13), (9, 13), (18, 13), (27, 1), (54, 1) ], true, false, true, true, 11232) ], [ ([ perm"(1, 45, 34, 23, 12)(2, 46, 35, 24, 
13)(3, 47, 36, 25, 14)(4, 48, 37, 26, 15)(5, 49, 38, 27, 16)(6, 50, 39, 28, 17)(7, 51, 40, 29, 18)(8, 52, 41, 30, 19)(9, 53, 42, 31, 20)(10, 54, 43, 32, 21)(11, 55, 44, 33, 22)", perm"(1, 11, 10, 9, 
8, 7, 6, 5, 4, 3, 2)(12, 19, 15, 22, 18, 14, 21, 17, 13, 20, 16)(23, 29, 24, 30, 25, 31, 26, 32, 27, 33, 28)(34, 36, 38, 40, 42, 44, 35, 37, 39, 41, 43)(45, 53, 50, 47, 55, 52, 49, 46, 54, 51, 48)" ],
[
[ 1, 1, 1, 1, 1 ],
[ 2, 1, -2, -1, 2, 2 ],
[ 1, -2, -1, -1, 2, 1, -2 ]
], [
[ 2, 1, -2, -1, 2, 2 ],
[ 1, -2, -1, -1, 2, 1, -2 ]
], [ (1, 1), (5, 44), (11, 10) ], [ (1, 1), (5, 11), (11, 1), (55, 1) ], false, false, true, false, 110), ([ perm"(1, 45, 34, 23, 12)(2, 46, 35, 24, 13)(3, 47, 36, 25, 14)(4, 48, 37, 26, 15)(5, 49, 
38, 27, 16)(6, 50, 39, 28, 17)(7, 51, 40, 29, 18)(8, 52, 41, 30, 19)(9, 53, 42, 31, 20)(10, 54, 43, 32, 21)(11, 55, 44, 33, 22)", perm"(1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(12, 22, 21, 20, 19, 18, 17, 
16, 15, 14, 13)(23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24)(34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35)(45, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46)" ], [
[ 1, 1, 1, 1, 1 ],
[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
], [
[ -1, -2, 1, 2 ]
], [ (1, 1), (5, 4), (11, 10), (55, 40) ], [ (1, 1), (5, 1), (11, 1), (55, 1) ], true, true, true, true, 40) ], [ ([ perm"(1, 50, 22, 36, 8, 43, 15, 29)(2, 51, 23, 37, 9, 44, 16, 30)(3, 52, 24, 38, 
10, 45, 17, 31)(4, 53, 25, 39, 11, 46, 18, 32)(5, 54, 26, 40, 12, 47, 19, 33)(6, 55, 27, 41, 13, 48, 20, 34)(7, 56, 28, 42, 14, 49, 21, 35)", perm"(1, 22, 8, 15)(2, 23, 9, 16)(3, 24, 10, 17)(4, 25, 
11, 18)(5, 26, 12, 19)(6, 27, 13, 20)(7, 28, 14, 21)(29, 50, 36, 43)(30, 51, 37, 44)(31, 52, 38, 45)(32, 53, 39, 46)(33, 54, 40, 47)(34, 55, 41, 48)(35, 56, 42, 49)", perm"(1, 8)(2, 9)(3, 10)(4, 
11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 51)(45, 52)(46, 53)(47, 54)(48, 55)(49, 56)", 
perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ -1, -1, 2 ],
[ 2, 1, 1, 3 ],
[ -1, -4, 1, -4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ -1, -1, 2 ],
[ 2, 1, 1, 3 ],
[ -1, -4, 1, -4 ]
], [ (1, 1), (2, 1), (4, 2), (7, 6), (8, 28), (14, 6), (28, 12) ], [ (1, 1), (2, 1), (4, 1), (7, 1), (8, 7), (14, 1), (28, 1), (56, 1) ], false, false, true, false, 168), ([ perm"(1, 32, 4, 30, 2, 31,
3, 29)(5, 36, 8, 34, 6, 35, 7, 33)(9, 40, 12, 38, 10, 39, 11, 37)(13, 44, 16, 42, 14, 43, 15, 41)(17, 48, 20, 46, 18, 47, 19, 45)(21, 52, 24, 50, 22, 51, 23, 49)(25, 56, 28, 54, 26, 55, 27, 53)", 
perm"(1, 25, 21, 17, 13, 9, 5)(2, 26, 22, 18, 14, 10, 6)(3, 27, 23, 19, 15, 11, 7)(4, 28, 24, 20, 16, 12, 8)(29, 53, 49, 45, 41, 37, 33)(30, 54, 50, 46, 42, 38, 34)(31, 55, 51, 47, 43, 39, 35)(32, 56,
52, 48, 44, 40, 36)", perm"(1, 4, 2, 3)(5, 8, 6, 7)(9, 12, 10, 11)(13, 16, 14, 15)(17, 20, 18, 19)(21, 24, 22, 23)(25, 28, 26, 27)(29, 32, 30, 31)(33, 36, 34, 35)(37, 40, 38, 39)(41, 44, 42, 43)(45, 
48, 46, 47)(49, 52, 50, 51)(53, 56, 54, 55)", perm"(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)" ], [
[ 3, 3, 3, 3 ],
[ 4, 4 ],
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2, -2, -2 ]
], [
[ -1, -1, 3 ],
[ 3, 1, 1, 4 ],
[ -1, -2, 1, 2 ]
], [ (1, 1), (2, 1), (4, 2), (7, 6), (8, 4), (14, 6), (28, 12), (56, 24) ], [ (1, 1), (2, 1), (4, 1), (7, 1), (8, 1), (14, 1), (28, 1), (56, 1) ], true, true, true, true, 24), ([ perm"(1, 36, 8, 
29)(2, 37, 9, 30)(3, 38, 10, 31)(4, 39, 11, 32)(5, 40, 12, 33)(6, 41, 13, 34)(7, 42, 14, 35)(15, 50, 22, 43)(16, 51, 23, 44)(17, 52, 24, 45)(18, 53, 25, 46)(19, 54, 26, 47)(20, 55, 27, 48)(21, 56, 28,
49)", perm"(1, 22, 8, 15)(2, 23, 9, 16)(3, 24, 10, 17)(4, 25, 11, 18)(5, 26, 12, 19)(6, 27, 13, 20)(7, 28, 14, 21)(29, 43, 36, 50)(30, 44, 37, 51)(31, 45, 38, 52)(32, 46, 39, 53)(33, 47, 40, 54)(34, 
48, 41, 55)(35, 49, 42, 56)", perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 
50)(44, 51)(45, 52)(46, 53)(47, 54)(48, 55)(49, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ -1, -1, 3 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, 4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ -1, -1, 3 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -4, 1, -4 ],
[ -2, -4, 2, 4 ]
], [ (1, 1), (2, 1), (4, 30), (7, 6), (14, 6), (28, 12) ], [ (1, 1), (2, 1), (4, 15), (7, 1), (8, 7), (14, 1), (28, 3), (56, 1) ], false, false, true, false, 336), ([ perm"(1, 29)(2, 30)(3, 31)(4, 
32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)", 
perm"(1, 22, 8, 15)(2, 23, 9, 16)(3, 24, 10, 17)(4, 25, 11, 18)(5, 26, 12, 19)(6, 27, 13, 20)(7, 28, 14, 21)(29, 50, 36, 43)(30, 51, 37, 44)(31, 52, 38, 45)(32, 53, 39, 46)(33, 54, 40, 47)(34, 55, 41,
48)(35, 56, 42, 49)", perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 
51)(45, 52)(46, 53)(47, 54)(48, 55)(49, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ -2, -2, 3 ],
[ -2, 1, 2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ -2, -2, 3 ],
[ -2, 1, 2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ]
], [ (1, 1), (2, 15), (4, 16), (7, 6), (14, 6), (28, 12) ], [ (1, 1), (2, 15), (4, 15), (7, 1), (8, 7), (14, 3), (28, 3), (56, 1) ], false, false, true, false, 168), ([ perm"(1, 29)(2, 30)(3, 31)(4, 
32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)", 
perm"(1, 22, 8, 15)(2, 23, 9, 16)(3, 24, 10, 17)(4, 25, 11, 18)(5, 26, 12, 19)(6, 27, 13, 20)(7, 28, 14, 21)(29, 43, 36, 50)(30, 44, 37, 51)(31, 45, 38, 52)(32, 46, 39, 53)(33, 47, 40, 54)(34, 48, 41,
55)(35, 49, 42, 56)", perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 
51)(45, 52)(46, 53)(47, 54)(48, 55)(49, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 1, 1 ],
[ 2, 2, 2, 2 ],
[ 3, 3 ],
[ -2, -2, 3 ],
[ -2, 1, -2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ -2, -2, 3 ],
[ -2, 1, -2, 1 ],
[ -2, -4, 2, 4 ],
[ 1, -4, 1, -4 ]
], [ (1, 1), (2, 29), (4, 2), (7, 6), (14, 6), (28, 12) ], [ (1, 1), (2, 29), (4, 15), (7, 1), (8, 7), (14, 5), (28, 3), (56, 1) ], false, false, true, false, 336), ([ perm"(1, 36, 8, 29)(2, 37, 9, 
30)(3, 38, 10, 31)(4, 39, 11, 32)(5, 40, 12, 33)(6, 41, 13, 34)(7, 42, 14, 35)(15, 50, 22, 43)(16, 51, 23, 44)(17, 52, 24, 45)(18, 53, 25, 46)(19, 54, 26, 47)(20, 55, 27, 48)(21, 56, 28, 49)", 
perm"(1, 15)(2, 16)(3, 17)(4, 18)(5, 19)(6, 20)(7, 21)(8, 22)(9, 23)(10, 24)(11, 25)(12, 26)(13, 27)(14, 28)(29, 43)(30, 44)(31, 45)(32, 46)(33, 47)(34, 48)(35, 49)(36, 50)(37, 51)(38, 52)(39, 53)(40,
54)(41, 55)(42, 56)", perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 
51)(45, 52)(46, 53)(47, 54)(48, 55)(49, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ -1, -1, 3 ],
[ -1, 2, 1, 2 ],
[ -1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ -1, -1, 3 ],
[ -1, 2, 1, 2 ],
[ -1, -4, 1, -4 ],
[ 2, -4, 2, 4 ]
], [ (1, 1), (2, 3), (4, 28), (7, 6), (14, 18) ], [ (1, 1), (2, 3), (4, 15), (7, 1), (8, 7), (14, 3), (28, 3), (56, 1) ], false, false, true, false, 336), ([ perm"(1, 29)(2, 30)(3, 31)(4, 32)(5, 
33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)", perm"(1, 
15)(2, 16)(3, 17)(4, 18)(5, 19)(6, 20)(7, 21)(8, 22)(9, 23)(10, 24)(11, 25)(12, 26)(13, 27)(14, 28)(29, 50)(30, 51)(31, 52)(32, 53)(33, 54)(34, 55)(35, 56)(36, 43)(37, 44)(38, 45)(39, 46)(40, 47)(41, 
48)(42, 49)", perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 51)(45, 
52)(46, 53)(47, 54)(48, 55)(49, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ 1, 2, 1, 2, 3 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ 1, 2, 1, 2, 3 ]
], [ (1, 1), (2, 17), (4, 14), (7, 6), (14, 18) ], [ (1, 1), (2, 17), (4, 15), (7, 1), (8, 7), (14, 5), (28, 3), (56, 1) ], false, false, true, false, 168), ([ perm"(1, 30, 2, 29)(3, 32, 4, 31)(5, 34,
6, 33)(7, 36, 8, 35)(9, 38, 10, 37)(11, 40, 12, 39)(13, 42, 14, 41)(15, 44, 16, 43)(17, 46, 18, 45)(19, 48, 20, 47)(21, 50, 22, 49)(23, 52, 24, 51)(25, 54, 26, 53)(27, 56, 28, 55)", perm"(1, 15)(2, 
16)(3, 17)(4, 18)(5, 19)(6, 20)(7, 21)(8, 22)(9, 23)(10, 24)(11, 25)(12, 26)(13, 27)(14, 28)(29, 43)(30, 44)(31, 45)(32, 46)(33, 47)(34, 48)(35, 49)(36, 50)(37, 51)(38, 52)(39, 53)(40, 54)(41, 55)(42,
56)", perm"(1, 13, 11, 9, 7, 5, 3)(2, 14, 12, 10, 8, 6, 4)(15, 27, 25, 23, 21, 19, 17)(16, 28, 26, 24, 22, 20, 18)(29, 41, 39, 37, 35, 33, 31)(30, 42, 40, 38, 36, 34, 32)(43, 55, 53, 51, 49, 47, 
45)(44, 56, 54, 52, 50, 48, 46)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ -3, -3, -3, -3, -3, -3, -3 ]
], [
[ -1, -1, 4 ],
[ -1, 2, 1, 2 ],
[ -1, -3, 1, 3 ],
[ 2, -3, 2, 3 ]
], [ (1, 1), (2, 3), (4, 4), (7, 6), (14, 18), (28, 24) ], [ (1, 1), (2, 3), (4, 3), (7, 1), (8, 1), (14, 3), (28, 3), (56, 1) ], true, false, true, true, 48), ([ perm"(1, 29)(2, 30)(3, 31)(4, 32)(5, 
33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)", perm"(1, 
15)(2, 16)(3, 17)(4, 18)(5, 19)(6, 20)(7, 21)(8, 22)(9, 23)(10, 24)(11, 25)(12, 26)(13, 27)(14, 28)(29, 44)(30, 43)(31, 46)(32, 45)(33, 48)(34, 47)(35, 50)(36, 49)(37, 52)(38, 51)(39, 54)(40, 53)(41, 
56)(42, 55)", perm"(1, 13, 11, 9, 7, 5, 3)(2, 14, 12, 10, 8, 6, 4)(15, 27, 25, 23, 21, 19, 17)(16, 28, 26, 24, 22, 20, 18)(29, 41, 39, 37, 35, 33, 31)(30, 42, 40, 38, 36, 34, 32)(43, 55, 53, 51, 49, 
47, 45)(44, 56, 54, 52, 50, 48, 46)", perm"(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 4, 4 ],
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, 1, 2, 4 ],
[ -3, -3, -3, -3, -3, -3, -3 ]
], [
[ 1, -3, 1, 3 ],
[ 2, -3, 2, 3 ],
[ 1, 4, 1, 4 ],
[ 2, 4, 2, 4 ],
[ -3, 4, 3, 4 ],
[ 1, 2, 1, 2, 4 ]
], [ (1, 1), (2, 5), (4, 2), (7, 6), (14, 30), (28, 12) ], [ (1, 1), (2, 5), (4, 3), (7, 1), (8, 1), (14, 5), (28, 3), (56, 1) ], false, false, true, true, 48), ([ perm"(1, 30, 2, 29)(3, 32, 4, 31)(5,
34, 6, 33)(7, 36, 8, 35)(9, 38, 10, 37)(11, 40, 12, 39)(13, 42, 14, 41)(15, 44, 16, 43)(17, 46, 18, 45)(19, 48, 20, 47)(21, 50, 22, 49)(23, 52, 24, 51)(25, 54, 26, 53)(27, 56, 28, 55)", perm"(1, 16, 
2, 15)(3, 18, 4, 17)(5, 20, 6, 19)(7, 22, 8, 21)(9, 24, 10, 23)(11, 26, 12, 25)(13, 28, 14, 27)(29, 43, 30, 44)(31, 45, 32, 46)(33, 47, 34, 48)(35, 49, 36, 50)(37, 51, 38, 52)(39, 53, 40, 54)(41, 55, 
42, 56)", perm"(1, 13, 11, 9, 7, 5, 3)(2, 14, 12, 10, 8, 6, 4)(15, 27, 25, 23, 21, 19, 17)(16, 28, 26, 24, 22, 20, 18)(29, 41, 39, 37, 35, 33, 31)(30, 42, 40, 38, 36, 34, 32)(43, 55, 53, 51, 49, 47, 
45)(44, 56, 54, 52, 50, 48, 46)", perm"(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)" ], [
[ 1, 1, 1, 1 ],
[ 2, 2, 2, 2 ],
[ 4, 4 ],
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ],
[ -3, -3, -3, -3, -3, -3, -3 ]
], [
[ -1, -1, 4 ],
[ -2, 1, 1, -2 ],
[ -1, -2, 1, -2 ],
[ -1, -3, 1, 3 ],
[ -2, -3, 2, 3 ]
], [ (1, 1), (2, 1), (4, 6), (7, 6), (14, 6), (28, 36) ], [ (1, 1), (2, 1), (4, 3), (7, 1), (8, 1), (14, 1), (28, 3), (56, 1) ], false, false, true, true, 144), ([ perm"(1, 49, 41, 33, 25, 17, 9)(2, 
50, 42, 34, 26, 18, 10)(3, 51, 43, 35, 27, 19, 11)(4, 52, 44, 36, 28, 20, 12)(5, 53, 45, 37, 29, 21, 13)(6, 54, 46, 38, 30, 22, 14)(7, 55, 47, 39, 31, 23, 15)(8, 56, 48, 40, 32, 24, 16)", perm"(1, 
5)(2, 6)(3, 7)(4, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 18)(19, 20)(21, 22)(23, 24)(25, 30)(26, 29)(27, 32)(28, 31)(33, 40)(34, 39)(35, 38)(36, 37)(41, 47)(42, 48)(43, 45)(44, 46)(49, 52)(50, 51)(53, 
56)(54, 55)", perm"(1, 3)(2, 4)(5, 7)(6, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 22)(18, 21)(19, 24)(20, 23)(25, 32)(26, 31)(27, 30)(28, 29)(33, 39)(34, 40)(35, 37)(36, 38)(41, 44)(42, 43)(45, 48)(46, 
47)(49, 53)(50, 54)(51, 55)(52, 56)", perm"(1, 2)(3, 4)(5, 6)(7, 8)(9, 14)(10, 13)(11, 16)(12, 15)(17, 24)(18, 23)(19, 22)(20, 21)(25, 31)(26, 32)(27, 29)(28, 30)(33, 36)(34, 35)(37, 40)(38, 39)(41, 
45)(42, 46)(43, 47)(44, 48)(49, 51)(50, 52)(53, 55)(54, 56)" ], [
[ 2, 2 ],
[ 3, 3 ],
[ 4, 4 ],
[ -1, 2, 1, 3 ],
[ -1, 3, 1, 4 ],
[ 2, 3, 2, 3 ],
[ 2, 4, 2, 4 ],
[ 1, 2, -1, 3, 4 ],
[ -1, -1, -1, -1, -1, -1, -1 ]
], [
[ -1, 2, 1, 3 ],
[ -1, 3, 1, 4 ],
[ 2, 3, 2, 3 ],
[ 2, 4, 2, 4 ],
[ 1, 2, -1, 3, 4 ]
], [ (1, 1), (2, 7), (7, 48) ], [ (1, 1), (2, 7), (4, 7), (7, 8), (8, 1), (56, 1) ], false, false, true, false, 168), ([ perm"(1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 34)(7, 35)(8, 36)(9, 37)(10, 
38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)", perm"(1, 15)(2, 16)(3, 17)(4, 18)(5, 19)(6, 20)(7,
21)(8, 22)(9, 23)(10, 24)(11, 25)(12, 26)(13, 27)(14, 28)(29, 43)(30, 44)(31, 45)(32, 46)(33, 47)(34, 48)(35, 49)(36, 50)(37, 51)(38, 52)(39, 53)(40, 54)(41, 55)(42, 56)", perm"(1, 8)(2, 9)(3, 10)(4, 
11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 51)(45, 52)(46, 53)(47, 54)(48, 55)(49, 56)", 
perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(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)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, -4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ]
], [ (1, 1), (2, 31), (7, 6), (14, 18) ], [ (1, 1), (2, 31), (4, 43), (7, 1), (8, 7), (14, 7), (28, 7), (56, 1) ], false, false, true, false, 1008), ([ perm"(1, 29)(2, 30)(3, 31)(4, 32)(5, 33)(6, 
34)(7, 35)(8, 36)(9, 37)(10, 38)(11, 39)(12, 40)(13, 41)(14, 42)(15, 43)(16, 44)(17, 45)(18, 46)(19, 47)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 53)(26, 54)(27, 55)(28, 56)", perm"(1, 15)(2, 
16)(3, 17)(4, 18)(5, 19)(6, 20)(7, 21)(8, 22)(9, 23)(10, 24)(11, 25)(12, 26)(13, 27)(14, 28)(29, 43)(30, 44)(31, 45)(32, 46)(33, 47)(34, 48)(35, 49)(36, 50)(37, 51)(38, 52)(39, 53)(40, 54)(41, 55)(42,
56)", perm"(1, 8)(2, 9)(3, 10)(4, 11)(5, 12)(6, 13)(7, 14)(15, 22)(16, 23)(17, 24)(18, 25)(19, 26)(20, 27)(21, 28)(29, 36)(30, 37)(31, 38)(32, 39)(33, 40)(34, 41)(35, 42)(43, 50)(44, 51)(45, 52)(46, 
53)(47, 54)(48, 55)(49, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(29, 35, 34, 33, 32, 31, 30)(36, 42, 41, 40, 39, 38, 37)(43, 
49, 48, 47, 46, 45, 44)(50, 56, 55, 54, 53, 52, 51)" ], [
[ 1, 1 ],
[ 2, 2 ],
[ 3, 3 ],
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ],
[ -4, -4, -4, -4, -4, -4, -4 ]
], [
[ 1, 2, 1, 2 ],
[ 1, 3, 1, 3 ],
[ 2, 3, 2, 3 ],
[ 1, -4, 1, 4 ],
[ 2, -4, 2, 4 ],
[ 3, -4, 3, 4 ]
], [ (1, 1), (2, 7), (7, 6), (14, 42) ], [ (1, 1), (2, 7), (4, 7), (7, 1), (8, 1), (14, 7), (28, 7), (56, 1) ], true, false, true, true, 1008) ], [ ([ perm"(1, 39, 20)(2, 40, 21)(3, 41, 22)(4, 42, 
23)(5, 43, 24)(6, 44, 25)(7, 45, 26)(8, 46, 27)(9, 47, 28)(10, 48, 29)(11, 49, 30)(12, 50, 31)(13, 51, 32)(14, 52, 33)(15, 53, 34)(16, 54, 35)(17, 55, 36)(18, 56, 37)(19, 57, 38)", perm"(1, 19, 18, 
17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(20, 32, 25, 37, 30, 23, 35, 28, 21, 33, 26, 38, 31, 24, 36, 29, 22, 34, 27)(39, 47, 55, 44, 52, 41, 49, 57, 46, 54, 43, 51, 40, 48, 56, 45, 53, 
42, 50)" ], [
[ 1, 1, 1 ],
[ -2, -1, -2, -1, -2, -1 ],
[ -2, 1, -2, 1, -2, 1 ],
[ 1, -2, -2, -1, 2, 2, 2 ]
], [
[ -2, -1, -2, -1, -2, -1 ],
[ -2, 1, -2, 1, -2, 1 ],
[ 1, -2, -2, -1, 2, 2, 2 ]
], [ (1, 1), (3, 38), (19, 18) ], [ (1, 1), (3, 19), (19, 1), (57, 1) ], false, false, true, false, 342), ([ perm"(1, 39, 20)(2, 40, 21)(3, 41, 22)(4, 42, 23)(5, 43, 24)(6, 44, 25)(7, 45, 26)(8, 46, 
27)(9, 47, 28)(10, 48, 29)(11, 49, 30)(12, 50, 31)(13, 51, 32)(14, 52, 33)(15, 53, 34)(16, 54, 35)(17, 55, 36)(18, 56, 37)(19, 57, 38)", perm"(1, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5,
4, 3, 2)(20, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21)(39, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40)" ], [
[ 1, 1, 1 ],
[ -1, -2, 1, 2 ],
[ -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2 ]
], [
[ -1, -2, 1, 2 ]
], [ (1, 1), (3, 2), (19, 18), (57, 36) ], [ (1, 1), (3, 1), (19, 1), (57, 1) ], true, true, true, true, 36) ], [ ([ perm"(1, 30)(2, 31)(3, 32)(4, 33)(5, 34)(6, 35)(7, 36)(8, 37)(9, 38)(10, 39)(11, 
40)(12, 41)(13, 42)(14, 43)(15, 44)(16, 45)(17, 46)(18, 47)(19, 48)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 54)(26, 55)(27, 56)(28, 57)(29, 58)", perm"(1, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 
19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(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)" ], [
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29, 24)(20, 30, 25)(31, 41, 36)(32, 42, 37)(33, 43, 38)(34, 44, 39)(35, 45, 40)(46, 56, 51)(47, 57, 52)(48, 58, 53)(49, 59, 54)(50, 60, 55)", perm"(1, 5, 4, 3, 2)(6, 10, 9, 8, 7)(11, 15, 14, 13, 
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18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)" ], [
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43)(13, 44)(14, 45)(15, 46)(16, 47)(17, 48)(18, 49)(19, 50)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 56)(26, 57)(27, 58)(28, 59)(29, 60)(30, 61)(31, 62)", perm"(1, 31, 30, 29, 28, 27, 26, 25, 24, 
23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2)(32, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 
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17, 10)(4, 18, 11)(5, 19, 12)(6, 20, 13)(7, 21, 14)(22, 36, 29)(23, 37, 30)(24, 38, 31)(25, 39, 32)(26, 40, 33)(27, 41, 34)(28, 42, 35)(43, 57, 50)(44, 58, 51)(45, 59, 52)(46, 60, 53)(47, 61, 54)(48, 
62, 55)(49, 63, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 27, 25, 23, 28, 26, 24)(29, 34, 32, 30, 35, 33, 31)(36, 41, 39, 37, 42, 40, 38)(43, 46, 49, 
45, 48, 44, 47)(50, 53, 56, 52, 55, 51, 54)(57, 60, 63, 59, 62, 58, 61)" ], [
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19, 16, 13, 10, 7, 4)(2, 20, 17, 14, 11, 8, 5)(3, 21, 18, 15, 12, 9, 6)(22, 40, 37, 34, 31, 28, 25)(23, 41, 38, 35, 32, 29, 26)(24, 42, 39, 36, 33, 30, 27)(43, 61, 58, 55, 52, 49, 46)(44, 62, 59, 56, 
53, 50, 47)(45, 63, 60, 57, 54, 51, 48)", perm"(1, 3, 2)(4, 6, 5)(7, 9, 8)(10, 12, 11)(13, 15, 14)(16, 18, 17)(19, 21, 20)(22, 24, 23)(25, 27, 26)(28, 30, 29)(31, 33, 32)(34, 36, 35)(37, 39, 38)(40, 
42, 41)(43, 45, 44)(46, 48, 47)(49, 51, 50)(52, 54, 53)(55, 57, 56)(58, 60, 59)(61, 63, 62)" ], [
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47, 26)(6, 48, 27)(7, 49, 28)(8, 50, 29)(9, 51, 30)(10, 52, 31)(11, 53, 32)(12, 54, 33)(13, 55, 34)(14, 56, 35)(15, 57, 36)(16, 58, 37)(17, 59, 38)(18, 60, 39)(19, 61, 40)(20, 62, 41)(21, 63, 42)", 
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52)(46, 60, 53)(47, 61, 54)(48, 62, 55)(49, 63, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 27, 25, 23, 28, 26, 24)(29, 34, 32, 30, 35, 33, 31)(36, 41, 
39, 37, 42, 40, 38)(43, 46, 49, 45, 48, 44, 47)(50, 53, 56, 52, 55, 51, 54)(57, 60, 63, 59, 62, 58, 61)" ], [
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8)(2, 16, 9)(3, 17, 10)(4, 18, 11)(5, 19, 12)(6, 20, 13)(7, 21, 14)(22, 36, 29)(23, 37, 30)(24, 38, 31)(25, 39, 32)(26, 40, 33)(27, 41, 34)(28, 42, 35)(43, 57, 50)(44, 58, 51)(45, 59, 52)(46, 60, 
53)(47, 61, 54)(48, 62, 55)(49, 63, 56)", perm"(1, 7, 6, 5, 4, 3, 2)(8, 14, 13, 12, 11, 10, 9)(15, 21, 20, 19, 18, 17, 16)(22, 28, 27, 26, 25, 24, 23)(29, 35, 34, 33, 32, 31, 30)(36, 42, 41, 40, 39, 
38, 37)(43, 49, 48, 47, 46, 45, 44)(50, 56, 55, 54, 53, 52, 51)(57, 63, 62, 61, 60, 59, 58)" ], [
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