The list of primitive

exact convering sequences with exactly one repeated  modulus (that must be th\

    e largest) for up to, 24,  repeats

                    and where the largest modulus is <=, 300

[{}, {}, {}, {[3, [6, 4]]}, {}, {[3, [9, 6]], [4, [8, 6]], [3, 6, [12, 6]]},

    {[4, 6, [12, 7]], [3, 6, 9, [18, 7]]}, {[3, [12, 8]]}, {[4, [12, 9]],

    [3, 6, [18, 9]], [4, 6, 8, 12, [24, 9]], [3, 6, 9, 12, 18, [36, 9]]},

    {[6, [12, 10]], [3, 9, [18, 10]], [4, 8, [16, 10]], [3, 6, 12, [24, 10]]},

    {[4, 6, 8, [24, 11]], [3, 6, 9, 12, [36, 11]]}, {[3, [18, 12]],

    [4, [16, 12]], [3, 6, [24, 12]], [4, 6, 12, [24, 12]],

    [3, 6, 9, 18, [36, 12]]}, {[6, 9, [18, 13]], [3, 6, 15, [30, 13]],

    [4, 8, 12, [24, 13]], [3, 6, 12, 18, [36, 13]],

    [4, 6, 8, 12, 16, 24, [48, 13]], [3, 6, 9, 12, 18, 24, 36, [72, 13]]},

    {[8, [16, 14]], [3, 12, [24, 14]], [4, 6, [24, 14]], [3, 6, 9, [36, 14]]},

    {[6, [18, 15]], [3, 6, [30, 15]], [3, 9, [27, 15]], [4, 8, [24, 15]],

    [3, 6, 12, [36, 15]], [6, 8, 12, [24, 15]], [3, 9, 12, 18, [36, 15]],

    [4, 6, 8, 12, 16, [48, 15]], [3, 6, 9, 12, 18, 24, [72, 15]]}, {

    [3, [24, 16]], [9, [18, 16]], [4, 12, [24, 16]], [3, 6, 18, [36, 16]],

    [4, 6, 12, 18, [36, 16]], [3, 6, 9, 18, 27, [54, 16]],

    [4, 6, 8, 12, 24, [48, 16]], [3, 6, 9, 12, 18, 36, [72, 16]]}, {

    [6, 8, [24, 17]], [3, 9, 12, [36, 17]], [4, 6, 8, 16, 24, [48, 17]],

    [3, 6, 9, 12, 24, 36, [72, 17]]}, {[3, [27, 18]], [4, [24, 18]],

    [3, 6, [36, 18]], [3, 15, [30, 18]], [6, 12, [24, 18]],

    [3, 9, 18, [36, 18]], [4, 6, 12, [36, 18]], [4, 8, 16, [32, 18]],

    [3, 6, 9, 18, [54, 18]], [3, 6, 12, 24, [48, 18]], [4, 6, 8, 12, [48, 18]],

    [3, 6, 9, 12, 18, [72, 18]], [4, 6, 8, 12, 18, 24, 36, [72, 18]],

    [3, 6, 9, 12, 18, 27, 36, 54, [108, 18]]}, {[4, 14, [28, 19]],

    [8, 12, [24, 19]], [3, 6, 21, [42, 19]], [3, 12, 18, [36, 19]],

    [4, 6, 18, [36, 19]], [5, 10, 15, [30, 19]], [3, 6, 9, 27, [54, 19]],

    [4, 6, 8, 16, [48, 19]], [4, 8, 10, 20, [40, 19]],

    [3, 6, 9, 12, 24, [72, 19]], [3, 6, 12, 15, 30, [60, 19]],

    [4, 6, 12, 16, 24, [48, 19]], [3, 6, 9, 18, 24, 36, [72, 19]]}, {

    [3, [30, 20]], [6, [24, 20]], [11, [22, 20]], [3, 9, [36, 20]],

    [4, 8, [32, 20]], [3, 6, 12, [48, 20]], [6, 10, 15, [30, 20]],

    [4, 6, 8, 24, [48, 20]], [3, 6, 9, 12, 36, [72, 20]],

    [4, 6, 8, 12, 18, 24, [72, 20]], [3, 6, 9, 12, 18, 27, 36, [108, 20]]}, {

    [4, [28, 21]], [8, [24, 21]], [3, 6, [42, 21]], [3, 12, [36, 21]],

    [4, 6, [36, 21]], [5, 10, [30, 21]], [3, 6, 9, [54, 21]],

    [4, 8, 10, [40, 21]], [3, 6, 12, 15, [60, 21]], [4, 6, 12, 16, [48, 21]],

    [6, 9, 12, 18, [36, 21]], [3, 6, 9, 18, 24, [72, 21]],

    [4, 8, 12, 16, 24, [48, 21]], [3, 6, 12, 18, 24, 36, [72, 21]],

    [4, 6, 8, 12, 18, 36, [72, 21]], [3, 6, 9, 12, 18, 27, 54, [108, 21]],

    [4, 6, 8, 12, 16, 24, 32, 48, [96, 21]],

    [3, 6, 9, 12, 18, 24, 36, 48, 72, [144, 21]]}, {[3, [33, 22]],

    [12, [24, 22]], [3, 18, [36, 22]], [4, 16, [32, 22]], [5, 15, [30, 22]],

    [6, 10, [30, 22]], [7, 14, [28, 22]], [3, 6, 24, [48, 22]],

    [3, 9, 15, [45, 22]], [4, 6, 8, [48, 22]], [4, 12, 18, [36, 22]],

    [3, 6, 9, 12, [72, 22]], [3, 6, 18, 27, [54, 22]], [4, 6, 12, 24, [48, 22]],

    [3, 6, 9, 18, 36, [72, 22]], [4, 6, 8, 12, 24, 36, [72, 22]],

    [3, 6, 9, 12, 18, 36, 54, [108, 22]],

    [4, 6, 8, 12, 16, 18, 24, 36, 48, 72, [144, 22]],

    [3, 6, 9, 12, 18, 24, 27, 36, 54, 72, 108, [216, 22]]}, {[6, 15, [30, 23]],

    [4, 8, 20, [40, 23]], [6, 9, 12, [36, 23]], [3, 6, 12, 30, [60, 23]],

    [4, 6, 16, 24, [48, 23]], [4, 8, 12, 16, [48, 23]],

    [3, 6, 9, 24, 36, [72, 23]], [3, 6, 12, 18, 24, [72, 23]],

    [4, 6, 8, 12, 18, [72, 23]], [3, 6, 9, 12, 18, 27, [108, 23]],

    [4, 6, 8, 12, 16, 24, 32, [96, 23]],

    [3, 6, 9, 12, 18, 24, 36, 48, [144, 23]]}, {[3, [36, 24]], [4, [32, 24]],

    [5, [30, 24]], [7, [28, 24]], [13, [26, 24]], [3, 6, [48, 24]],

    [4, 12, [36, 24]], [3, 6, 18, [54, 24]], [4, 6, 12, [48, 24]],

    [4, 10, 20, [40, 24]], [6, 9, 18, [36, 24]], [3, 6, 9, 18, [72, 24]],

    [3, 6, 15, 30, [60, 24]], [4, 8, 12, 24, [48, 24]],

    [3, 6, 12, 18, 36, [72, 24]], [4, 6, 8, 12, 24, [72, 24]],

    [3, 6, 9, 12, 18, 36, [108, 24]], [4, 6, 8, 18, 24, 36, [72, 24]],

    [3, 6, 9, 12, 27, 36, 54, [108, 24]], [4, 6, 8, 12, 16, 24, 48, [96, 24]],

    [3, 6, 9, 12, 18, 24, 36, 72, [144, 24]],

    [4, 6, 8, 12, 16, 18, 24, 36, 48, [144, 24]],

    [3, 6, 9, 12, 18, 24, 27, 36, 54, 72, [216, 24]]}]



                        The list of the implied ones is



[{}, {}, {}, {}, {}, {}, {}, {[5, [10, 8]]}, {}, {[3, [15, 10]]}, {},

    {[5, [15, 12]], [7, [14, 12]]}, {[4, 10, [20, 13]]},

    {[3, [21, 14]], [5, 10, [20, 14]]}, {[4, [20, 15]]}, {[5, [20, 16]]}, {},

    {[7, [21, 18]], [10, [20, 18]]}, {}, {[5, [25, 20]]}, {},

    {[3, 15, 9, [45, 22]]}, {}, {[9, [27, 24]]}]



   The list of the abstract systems implied by the above primitive systems is



[{}, {}, {}, {[[p[2], [p[1]*p[2], (p[2]-1)*p[1]]], [2, 3]]}, {}, {[[p[1], [p[1]
^2, (p[1]-1)*p[1]]], [3]], [[p[1]^2, [p[1]^3, (p[1]^2-1)*p[1]]], [2]], [[p[2],
p[1]*p[2], [p[1]^2*p[2], (p[1]*p[2]-p[1]-1)*p[1]]], [2, 3]]}, {[[p[1]^2, p[1]*p
[2], [p[1]^2*p[2], p[1]^2*p[2]-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2,
[p[1]*p[2]^2, p[1]*p[2]^2-p[1]*p[2]-p[1]-p[2]]], [2, 3]]}, {[[p[2], [p[1]^2*p[2
], (p[2]-1)*p[1]^2]], [2, 3]]}, {[[p[1]^2, [p[1]^2*p[2], (p[1]^2-1)*p[2]]], [2,
3]], [[p[2], p[1]*p[2], [p[1]*p[2]^2, (p[1]*p[2]-p[1]-1)*p[2]]], [2, 3]], [[p[1
]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], [p[1]^3*p[2], p[1]^3*p[2]-p[1]^2-p[1]*p[2]
-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, [p[
1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]]], [2, 3]]},
{[[p[1]*p[2], [p[1]^2*p[2], (p[1]*p[2]-1)*p[1]]], [2, 3]], [[p[2], p[2]^2, [p[1
]*p[2]^2, (p[2]^2-p[2]-1)*p[1]]], [2, 3]], [[p[1]^2, p[1]^3, [p[1]^4, (p[1]^3-p
[1]-1)*p[1]]], [2]], [[p[2], p[1]*p[2], p[1]^2*p[2], [p[1]^3*p[2], (p[1]^2*p[2]
-p[1]^2-p[1]-1)*p[1]]], [2, 3]]}, {[[p[1]^2, p[1]*p[2], p[1]^3, [p[1]^3*p[2], p
[1]^3*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*
p[2], [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]
]}, {[[p[2], [p[1]*p[2]^2, (p[2]-1)*p[1]*p[2]]], [2, 3]], [[p[1]^2, [p[1]^4, (p
[1]^2-1)*p[1]^2]], [2]], [[p[2], p[1]*p[2], [p[1]^3*p[2], (p[1]*p[2]-p[1]-1)*p[
1]^2]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^2*p[2], [p[1]^3*p[2], (p[1]^2*p[2]-p
[1]-p[2]-1)*p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]*p[2]^2, [p[1]^2*p[
2]^2, (p[1]*p[2]^2-p[1]*p[2]-p[1]-p[2]-1)*p[1]]], [2, 3]]}, {[[p[1]*p[2], p[2]^
2, [p[1]*p[2]^2, p[1]*p[2]^2-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]*p[3]
, [p[1]*p[2]*p[3], p[1]*p[2]*p[3]-p[1]*p[3]-p[1]-p[3]]], [2, 3, 5]], [[p[1]^2,
p[1]^3, p[1]^2*p[2], [p[1]^3*p[2], p[1]^3*p[2]-p[1]*p[2]-p[1]-p[2]]], [2, 3]],
[[p[2], p[1]*p[2], p[1]^2*p[2], p[1]*p[2]^2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]
^2*p[2]-p[1]*p[2]-p[1]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2
], p[1]^4, p[1]^3*p[2], [p[1]^4*p[2], p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1
]*p[2]-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^
2, p[1]^3*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^3*p[2]-p[1]^3
-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]]], [2, 3]]}, {[[p[1]^3, [p[1]^4, (p[1]^
3-1)*p[1]]], [2]], [[p[2], p[1]^2*p[2], [p[1]^3*p[2], (p[1]^2*p[2]-p[1]^2-1)*p[
1]]], [2, 3]], [[p[1]^2, p[1]*p[2], [p[1]^3*p[2], (p[1]^2*p[2]-p[1]-p[2])*p[1]]
], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, [p[1]^2*p[2]^2, (p[1]*p[2]^2-p[1]*p[2]-p
[1]-p[2])*p[1]]], [2, 3]]}, {[[p[1]*p[2], [p[1]*p[2]^2, (p[1]*p[2]-1)*p[2]]], [
2, 3]], [[p[1], p[1]^2, [p[1]^3, (p[1]^2-p[1]-1)*p[1]]], [3]], [[p[2], p[1]*p[2
], [p[1]*p[2]*p[3], (p[1]*p[2]-p[1]-1)*p[3]]], [2, 3, 5]], [[p[1]^2, p[1]^3, [p
[1]^3*p[2], (p[1]^3-p[1]-1)*p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[1]^2*p[2], [p
[1]^2*p[2]^2, (p[1]^2*p[2]-p[1]^2-p[1]-1)*p[2]]], [2, 3]], [[p[1]*p[2], p[1]^3,
p[1]^2*p[2], [p[1]^3*p[2], p[1]^3*p[2]-p[1]^2-p[1]-p[2]]], [2, 3]], [[p[2], p[2
]^2, p[1]^2*p[2], p[1]*p[2]^2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2
-p[1]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^4, [p[1]^
4*p[2], p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]], [[p[2]
, p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, p[1]^3*p[2], [p[1]^3*p[2]^2, p[1
]^3*p[2]^2-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]]}, {[
[p[2], [p[1]^3*p[2], (p[2]-1)*p[1]^3]], [2, 3]], [[p[2]^2, [p[1]*p[2]^2, (p[2]^
2-1)*p[1]]], [2, 3]], [[p[1]^2, p[1]^2*p[2], [p[1]^3*p[2], (p[1]^2*p[2]-p[2]-1)
*p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[1]*p[2]^2, [p[1]^2*p[2]^2, (p[1]*p[2]^2-
p[1]*p[2]-p[2]-1)*p[1]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^2*p[2], p[1]*p[2]^
2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]*p[2]-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[2],
p[1]*p[2], p[2]^2, p[1]*p[2]^2, p[2]^3, [p[1]*p[2]^3, p[1]*p[2]^3-p[1]*p[2]^2-p
[1]*p[2]-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2],
p[1]^3*p[2], [p[1]^4*p[2], (p[1]^3*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]-1)*p[1]]], [
2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, p[1]^2*p[2]^2, [p[
1]^3*p[2]^2, (p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]-1)*p[1]]], [
2, 3]]}, {[[p[1]*p[2], p[1]^3, [p[1]^3*p[2], p[1]^3*p[2]-p[1]^2-p[2]]], [2, 3]]
, [[p[2], p[2]^2, p[1]^2*p[2], [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2
-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^4, p[1]^3*p[2], [p[1]^4*p[2
], p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]*p[2]-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*
p[2], p[2]^2, p[1]^2*p[2], p[1]^3*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p
[2]^2-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]*p[2]-p[1]-p[2]]], [2, 3]]}, {[[p[1],
[p[1]^3, (p[1]-1)*p[1]^2]], [3]], [[p[1]^2, [p[1]^3*p[2], (p[1]^2-1)*p[1]*p[2]]
], [2, 3]], [[p[2], p[1]*p[2], [p[1]^2*p[2]^2, (p[1]*p[2]-p[1]-1)*p[1]*p[2]]],
[2, 3]], [[p[2], p[2]*p[3], [p[1]*p[2]*p[3], (p[2]*p[3]-p[3]-1)*p[1]]], [2, 3,
5]], [[p[1]*p[2], p[1]^2*p[2], [p[1]^3*p[2], (p[1]^2*p[2]-p[1]-1)*p[1]]], [2, 3
]], [[p[2], p[2]^2, p[1]*p[2]^2, [p[1]^2*p[2]^2, (p[1]*p[2]^2-p[1]*p[2]-p[1]-1)
*p[1]]], [2, 3]], [[p[1]^2, p[1]^3, p[1]^4, [p[1]^5, (p[1]^4-p[1]^2-p[1]-1)*p[1
]]], [2]], [[p[1]^2, p[1]*p[2], p[1]^2*p[2], [p[1]^2*p[2]^2, (p[1]^2*p[2]-p[1]-
p[2]-1)*p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]*p[2]^2, [p[1]*p[2]^3,
(p[1]*p[2]^2-p[1]*p[2]-p[1]-p[2]-1)*p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[1]^2*
p[2], p[1]^3*p[2], [p[1]^4*p[2], (p[1]^3*p[2]-p[1]^3-p[1]^2-p[1]-1)*p[1]]], [2,
3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], [p[1]^4*p[2], (p[1]^3*p[2]-p[1]^
2-p[1]*p[2]-p[1]-p[2])*p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2],
p[1]*p[2]^2, [p[1]^3*p[2]^2, (p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p
[2])*p[1]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]*p[2]^2, p[
1]^3*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2
-p[1]^2-p[1]*p[2]-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^
2*p[2], p[1]*p[2]^2, p[2]^3, p[1]^2*p[2]^2, p[1]*p[2]^3, [p[1]^2*p[2]^3, p[1]^2
*p[2]^3-p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[1]-p[2]
]], [2, 3]]}, {[[p[1]^2, p[1]*p[2], [p[1]^2*p[2], p[1]^2*p[2]-p[1]-p[2]]], [2,
7]], [[p[1]^3, p[1]^2*p[2], [p[1]^3*p[2], p[1]^3*p[2]-p[1]-p[2]]], [2, 3]], [[p
[2], p[1]*p[2], p[2]*p[3], [p[1]*p[2]*p[3], p[1]*p[2]*p[3]-p[1]*p[3]-p[1]-p[3]]
], [2, 3, 7]], [[p[2], p[1]^2*p[2], p[1]*p[2]^2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-
p[1]^2*p[2]-p[1]-p[2]]], [2, 3]], [[p[3], p[1]*p[3], p[2]*p[3], [p[1]*p[2]*p[3]
, p[1]*p[2]*p[3]-p[1]*p[2]-p[1]-p[2]]], [2, 3, 5]], [[p[1]^2, p[1]*p[2], p[1]*p
[2]^2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]*p[2]-p[2]^2-p[1]]], [2, 3]], [[p[2],
p[1]*p[2], p[2]^2, p[2]^3, [p[1]*p[2]^3, p[1]*p[2]^3-p[1]*p[2]^2-p[1]*p[2]-p[2]
^2-p[1]]], [2, 3]], [[p[1]^2, p[1]^3, p[1]*p[2], p[1]^2*p[2], [p[1]^3*p[2], p[1
]^3*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]]], [2, 5]], [[p[1]^2, p[1]*p[2], p[1]^3, p[
1]^4, [p[1]^4*p[2], p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]*p[2]-p[2]]], [2, 3]], [
[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]^3*p[2], [p[1]^3*p[2]^2, p[1]^3*p[2]
^2-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]*p[2]-p[2]]], [2, 3]], [[p[2], p[1]*p[2],
p[1]^2*p[2], p[2]*p[3], p[1]*p[2]*p[3], [p[1]^2*p[2]*p[3], p[1]^2*p[2]*p[3]-p[1
]^2*p[3]-p[1]^2-p[1]*p[3]-p[1]-p[3]]], [2, 3, 5]], [[p[1]^2, p[1]*p[2], p[1]^2*
p[2], p[1]^4, p[1]^3*p[2], [p[1]^4*p[2], p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-
p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]*p[2]^2, p[1]^3*p[2], p[1]
^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-
p[1]-p[2]]], [2, 3]]}, {[[p[2], [p[1]*p[2], (p[2]-1)*p[1]]], [2, 11]], [[p[2],
[p[1]*p[2]*p[3], (p[2]-1)*p[1]*p[3]]], [2, 3, 5]], [[p[1]*p[2], [p[1]^3*p[2], (
p[1]*p[2]-1)*p[1]^2]], [2, 3]], [[p[2], p[2]^2, [p[1]^2*p[2]^2, (p[2]^2-p[2]-1)
*p[1]^2]], [2, 3]], [[p[1]^2, p[1]^3, [p[1]^5, (p[1]^3-p[1]-1)*p[1]^2]], [2]],
[[p[2], p[1]*p[2], p[1]^2*p[2], [p[1]^4*p[2], (p[1]^2*p[2]-p[1]^2-p[1]-1)*p[1]^
2]], [2, 3]], [[p[1]*p[2], p[1]*p[3], p[2]*p[3], [p[1]*p[2]*p[3], p[1]*p[2]*p[3
]-p[1]-p[2]-p[3]]], [2, 3, 5]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^3*p[2], [p[1]
^4*p[2], (p[1]^3*p[2]-p[1]^2-p[1]*p[2]-p[2]-1)*p[1]]], [2, 3]], [[p[2], p[1]*p[
2], p[2]^2, p[1]^2*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2, (p[1]^2*p[2]^2-p[1]^2*p
[2]-p[1]^2-p[1]*p[2]-p[2]-1)*p[1]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]
^2*p[2], p[1]*p[2]^2, p[1]^3*p[2], [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^2*p[2]-p[
1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p
[1]^2*p[2], p[1]*p[2]^2, p[2]^3, p[1]^2*p[2]^2, [p[1]^2*p[2]^3, p[1]^2*p[2]^3-p
[1]^2*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[2]]], [2, 3]]},
{[[p[1]^2, [p[1]^2*p[2], (p[1]^2-1)*p[2]]], [2, 7]], [[p[1]^3, [p[1]^3*p[2], (p
[1]^3-1)*p[2]]], [2, 3]], [[p[2], p[1]*p[2], [p[1]*p[2]*p[3], (p[1]*p[2]-p[1]-1
)*p[3]]], [2, 3, 7]], [[p[2], p[1]^2*p[2], [p[1]^2*p[2]^2, (p[1]^2*p[2]-p[1]^2-\
1)*p[2]]], [2, 3]], [[p[3], p[1]*p[3], [p[1]*p[2]*p[3], (p[1]*p[3]-p[1]-1)*p[2]
]], [2, 3, 5]], [[p[1]^2, p[1]*p[2], [p[1]^2*p[2]^2, (p[1]^2*p[2]-p[1]-p[2])*p[
2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, [p[1]*p[2]^3, (p[1]*p[2]^2-p[1]*p[2]-
p[1]-p[2])*p[2]]], [2, 3]], [[p[1]^2, p[1]^3, p[1]*p[2], [p[1]^3*p[2], p[1]^3*p
[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 5]], [[p[2], p[1]*p[2], p[1]^2*p[2], p[2]*p[3]
, [p[1]^2*p[2]*p[3], p[1]^2*p[2]*p[3]-p[1]^2*p[3]-p[1]^2-p[1]*p[3]-p[3]]], [2,
3, 5]], [[p[1]^2, p[1]*p[2], p[1]^2*p[2], p[1]^4, [p[1]^4*p[2], p[1]^4*p[2]-p[1
]^3-p[1]^2*p[2]-p[1]^2-p[2]]], [2, 3]], [[p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*
p[2]^2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[1]^2-p[1]*p[2]-p[1]-p[2]]], [2, 3]], [[
p[2], p[1]*p[2], p[2]^2, p[1]*p[2]^2, p[1]^3*p[2], [p[1]^3*p[2]^2, p[1]^3*p[2]^
2-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[2]]], [2, 3]], [[p[1]^2, p[1]^3, p[1]
^2*p[2], p[1]^4, p[1]^3*p[2], [p[1]^4*p[2], p[1]^4*p[2]-p[1]^2*p[2]-p[1]^2-p[1]
*p[2]-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[1]^2*p[2], p[1]*p[2]^2, p[1]^3
*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^3*p[2]-p[1]^2*p[2]-p[1
]^2-p[1]*p[2]-p[1]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p
[1]*p[2]^2, p[1]^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^
2-p[1]^2-p[1]*p[2]-p[2]^2-p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[
2], p[1]*p[2]^2, p[2]^3, p[1]*p[2]^3, [p[1]^2*p[2]^3, p[1]^2*p[2]^3-p[1]^2*p[2]
^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[1]]], [2, 3]], [[p[1]^2, p
[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^4, p[1]^3*p[2], p[1]^5, p[1]^4*p[2], [p[1]^
5*p[2], p[1]^5*p[2]-p[1]^4-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]
-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, p[1]^3*p
[2], p[1]^2*p[2]^2, p[1]^4*p[2], p[1]^3*p[2]^2, [p[1]^4*p[2]^2, p[1]^4*p[2]^2-p
[1]^4*p[2]-p[1]^4-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]]],
[2, 3]]}, {[[p[1], [p[1]*p[2], (p[1]-1)*p[2]]], [3, 11]], [[p[1]^2*p[2], [p[1]^
3*p[2], (p[1]^2*p[2]-1)*p[1]]], [2, 3]], [[p[2], p[1]*p[2], [p[1]^2*p[2], (p[1]
*p[2]-p[1]-1)*p[1]]], [2, 7]], [[p[2], p[1]*p[2]^2, [p[1]^2*p[2]^2, (p[1]*p[2]^
2-p[1]*p[2]-1)*p[1]]], [2, 3]], [[p[3], p[2]*p[3], [p[1]*p[2]*p[3], (p[2]*p[3]-
p[2]-1)*p[1]]], [2, 3, 5]], [[p[1]^2, p[1]^4, [p[1]^5, (p[1]^4-p[1]^2-1)*p[1]]]
, [2]], [[p[1]*p[2], p[1]*p[3], [p[1]*p[2]*p[3], p[1]*p[2]*p[3]-p[2]-p[3]]], [2
, 3, 5]], [[p[1], p[1]^2, p[1]*p[2], [p[1]^2*p[2], p[1]^2*p[2]-p[1]*p[2]-p[1]-p
[2]]], [3, 5]], [[p[2], p[1]*p[2], p[1]^3*p[2], [p[1]^4*p[2], (p[1]^3*p[2]-p[1]
^3-p[1]^2-1)*p[1]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, [p[1]^4*p[2], (p[1]^
3*p[2]-p[1]^2-p[1]*p[2]-p[2])*p[1]]], [2, 3]], [[p[1]^2, p[1]^2*p[2], p[1]*p[2]
^2, [p[1]^2*p[2]^2, p[1]^2*p[2]^2-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2
], p[2]^2, p[1]^2*p[2], [p[1]^3*p[2]^2, (p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*
p[2]-p[2])*p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[1]*p[2]^2, p[2]^3, [p[1]*p[2]^
3, p[1]*p[2]^3-p[1]*p[2]^2-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[
1]^2*p[2], p[1]^3*p[2], [p[1]^4*p[2], (p[1]^3*p[2]-p[1]^2-p[1]*p[2]-p[1]-1)*p[1
]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]*p[2]^2, p[1]^2*p[2]^2, [p[1]^3*p[
2]^2, (p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-1)*p[1]]], [2, 3]], [[p[
1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^3*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^
2, p[1]^3*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]*p[2]-p[2]^2-p[1]-p[2]]], [2, 3]],
[[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, p[1]^2*p[2]^2, p[1]*p[2]^3
, [p[1]^2*p[2]^3, p[1]^2*p[2]^3-p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]*p[2]
-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^4,
p[1]*p[2]^2, p[1]^3*p[2], p[1]^2*p[2]^2, p[1]^4*p[2], p[1]^3*p[2]^2, [p[1]^4*p[
2]^2, p[1]^4*p[2]^2-p[1]^3*p[2]-p[1]^2*p[2]^2-p[1]^3-p[1]^2*p[2]-p[1]*p[2]^2-p[
1]^2-p[1]*p[2]-p[2]^2-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p
[2], p[1]*p[2]^2, p[1]^3*p[2], p[2]^3, p[1]^2*p[2]^2, p[1]*p[2]^3, p[1]^3*p[2]^
2, p[1]^2*p[2]^3, [p[1]^3*p[2]^3, p[1]^3*p[2]^3-p[1]^3*p[2]^2-p[1]^3*p[2]-p[1]^
2*p[2]^2-p[1]^3-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[1]-p[2]]], [2
, 3]]}, {[[p[1]*p[2], p[2]*p[3], [p[1]*p[2]*p[3], p[1]*p[2]*p[3]-p[1]-p[3]]], [
2, 3, 5]], [[p[1]^2, p[1]^3, p[1]^2*p[2], [p[1]^3*p[2], p[1]^3*p[2]-p[1]*p[2]-p
[1]-p[2]]], [2, 5]], [[p[1]*p[2], p[2]^2, p[1]^2*p[2], [p[1]^2*p[2]^2, p[1]^2*p
[2]^2-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[1]^2*p[2], p[1]*p[
2]*p[3], [p[1]^2*p[2]*p[3], p[1]^2*p[2]*p[3]-p[1]^2*p[3]-p[1]*p[3]-p[1]-p[3]]],
[2, 3, 5]], [[p[1]^2, p[1]^3, p[1]^2*p[2], p[1]^4, [p[1]^4*p[2], p[1]^4*p[2]-p[
1]^2*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^4, p[1]^3
*p[2], [p[1]^4*p[2], p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]-p[2]]], [2, 3]], [[p[2
], p[1]*p[2], p[2]^2, p[1]^3*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2
-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[1]^2
*p[2], p[1]*p[2]^2, p[1]^3*p[2], [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^3*p[2]-p[1]
^2*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p
[2], p[1]*p[2]^2, [p[1]^3*p[2]^2, p[1]^3*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-
p[1]*p[2]-p[2]^2]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^
2, p[2]^3, [p[1]^2*p[2]^3, p[1]^2*p[2]^3-p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-
p[1]^2-p[1]*p[2]-p[2]^2]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p
[1]^4, p[1]^3*p[2], p[1]^5, [p[1]^5*p[2], p[1]^5*p[2]-p[1]^4-p[1]^3*p[2]-p[1]^3
-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^
2*p[2], p[1]*p[2]^2, p[1]^3*p[2], p[1]^2*p[2]^2, p[1]^4*p[2], [p[1]^4*p[2]^2, p
[1]^4*p[2]^2-p[1]^4*p[2]-p[1]^4-p[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]
-p[2]]], [2, 3]]}, {[[p[2], [p[1]*p[2], (p[2]-1)*p[1]]], [2, 13]], [[p[2], [p[1
]^2*p[2], (p[2]-1)*p[1]^2]], [2, 7]], [[p[2], [p[1]^2*p[2]^2, (p[2]-1)*p[1]^2*p
[2]]], [2, 3]], [[p[3], [p[1]*p[2]*p[3], (p[3]-1)*p[1]*p[2]]], [2, 3, 5]], [[p[
1]^2, [p[1]^5, (p[1]^2-1)*p[1]^3]], [2]], [[p[2], p[1]*p[2], [p[1]^4*p[2], (p[1
]*p[2]-p[1]-1)*p[1]^3]], [2, 3]], [[p[1]^2, p[1]^2*p[2], [p[1]^2*p[2]^2, (p[1]^
2*p[2]-p[2]-1)*p[2]]], [2, 3]], [[p[2], p[1]*p[2], p[1]*p[2]^2, [p[1]*p[2]^3, (
p[1]*p[2]^2-p[1]*p[2]-p[2]-1)*p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^2*p[2]
, [p[1]^3*p[2], (p[1]^2*p[2]-p[1]-p[2]-1)*p[1]]], [2, 5]], [[p[1]^2, p[1]*p[2],
p[1]^2*p[2], [p[1]^4*p[2], (p[1]^2*p[2]-p[1]-p[2]-1)*p[1]^2]], [2, 3]], [[p[1]*
p[2], p[2]^2, p[1]*p[2]^2, [p[1]^2*p[2]^2, (p[1]*p[2]^2-p[1]-p[2]-1)*p[1]]], [2
, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]*p[2]^2, [p[1]^3*p[2]^2, (p[1]*p[2]^2-p[1
]*p[2]-p[1]-p[2]-1)*p[1]^2]], [2, 3]], [[p[2], p[1]*p[2], p[2]*p[3], p[1]*p[2]*
p[3], [p[1]^2*p[2]*p[3], (p[1]*p[2]*p[3]-p[1]*p[3]-p[1]-p[3]-1)*p[1]]], [2, 3,
5]], [[p[1]^2, p[1]^3, p[1]^2*p[2], p[1]^3*p[2], [p[1]^4*p[2], (p[1]^3*p[2]-p[1
]*p[2]-p[1]-p[2]-1)*p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[1]^2*p[2], p[1]*p[2]^
2, p[1]^2*p[2]^2, [p[1]^3*p[2]^2, (p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]*p[2]-p[1]-p[2
]-1)*p[1]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^3*p[2], [p
[1]^3*p[2]^2, (p[1]^3*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]-1)*p[2]]], [2, 3]], [[p[2
], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, p[1]^2*p[2]^2, [p[1]^2*p[2]^3,
(p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]-1)*p[2]]], [2, 3]], [[p[1
]^2, p[1]*p[2], p[1]^3, p[1]*p[2]^2, p[1]^3*p[2], p[1]^2*p[2]^2, [p[1]^3*p[2]^2
, p[1]^3*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[2]^2-p[1]-p[2]]], [2, 3]], [[p
[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[2]^3, p[1]^2*p[2]^2, p[1]*p[2]^3, [p[1]^
2*p[2]^3, p[1]^2*p[2]^3-p[1]^2*p[2]^2-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[2]^2-p[1
]-p[2]]], [2, 3]], [[p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^4, p[1]^3*p[2
], p[1]^4*p[2], [p[1]^5*p[2], (p[1]^4*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-
p[1]-p[2]-1)*p[1]]], [2, 3]], [[p[2], p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]
^2, p[1]^3*p[2], p[1]^2*p[2]^2, p[1]^3*p[2]^2, [p[1]^4*p[2]^2, (p[1]^3*p[2]^2-p
[1]^3*p[2]-p[1]^3-p[1]^2*p[2]-p[1]^2-p[1]*p[2]-p[1]-p[2]-1)*p[1]]], [2, 3]], [[
p[1]^2, p[1]*p[2], p[1]^3, p[1]^2*p[2], p[1]^4, p[1]*p[2]^2, p[1]^3*p[2], p[1]^
2*p[2]^2, p[1]^4*p[2], [p[1]^4*p[2]^2, p[1]^4*p[2]^2-p[1]^3*p[2]-p[1]^2*p[2]^2-
p[1]^3-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[2]]], [2, 3]], [[p[2],
p[1]*p[2], p[2]^2, p[1]^2*p[2], p[1]*p[2]^2, p[1]^3*p[2], p[2]^3, p[1]^2*p[2]^2
, p[1]*p[2]^3, p[1]^3*p[2]^2, [p[1]^3*p[2]^3, p[1]^3*p[2]^3-p[1]^3*p[2]^2-p[1]^
3*p[2]-p[1]^2*p[2]^2-p[1]^3-p[1]^2*p[2]-p[1]*p[2]^2-p[1]^2-p[1]*p[2]-p[2]^2-p[2
]]], [2, 3]]}]


                          This took, 39.580, seconds.