Dimensions of spaces of cusp forms, with character
This is a MAGMA-readable table of dimensions of spaces Sk(N,eps) of cusp
forms with Dirichlet character eps:(Z/NZ)*-->C*.
The format is as follows. For each integer N <= 400, information
is given about the dimensions of the spaces Sk(N,eps)
for all Galois conjugacy classes of mod-N Dirichlet characters eps.
First N is given, then a list of 3-tuples (eps, degs, dims), where
- eps is a vector that defines the character uniquely,
- degs is an ordered list of degrees of images of the
cyclic factors (Z/p^iZ)^* of (Z/NZ)^* (suitably
modified when N is even), and
- dims is the power series
dim(S_2(N,eps))t^2 + dim(S_3(N,eps))t^3 + dim(S_4(N,eps))t^4 + ...
The table below actually only gives the power series to up to t^16;
however, by looking
at the explicit formula in Cohen-Oesterle [Springer Lecture Notes in
Mathematics, Volume 627] it is evident that your guess at the pattern
is correct. (Right click here
to download a compressed (62KB) version of this web page.)
The format is:
<
N,
[*
<(eps), [degrees], sum_{k=2..16} dim S_k(N,eps)*t^k>
...
*]>,
dimSk := [* // This part of the file can be read into MAGMA.
<1,
[*
<(0), [ 1 ], t^12 + t^16>
*]>,
<2,
[*
<(0), [ 1 ], t^8 + t^10 + 2*t^12 + 2*t^14 + 3*t^16>
*]>,
<3,
[*
<(0), [ 1 ], t^6 + t^8 + 2*t^10 + 3*t^12 + 3*t^14 + 4*t^16>,
<(1), [ 2 ], t^7 + 2*t^9 + 2*t^11 + 3*t^13 + 4*t^15>
*]>,
<4,
[*
<(0), [ 1 ], t^6 + 2*t^8 + 3*t^10 + 4*t^12 + 5*t^14 + 6*t^16>,
<(1), [ 2 ], t^5 + 2*t^7 + 3*t^9 + 4*t^11 + 5*t^13 + 6*t^15>
*]>,
<5,
[*
<(0), [ 1 ], t^4 + t^6 + 3*t^8 + 3*t^10 + 5*t^12 + 5*t^14 + 7*t^16>,
<(1), [ 4 ], t^5 + 2*t^7 + 3*t^9 + 4*t^11 + 5*t^13 + 6*t^15>,
<(2), [ 2 ], 2*t^6 + 2*t^8 + 4*t^10 + 4*t^12 + 6*t^14 + 6*t^16>
*]>,
<6,
[*
<(0 0), [ 1, 1 ], t^4 + 3*t^6 + 5*t^8 + 7*t^10 + 9*t^12 + 11*t^14 + 13*t^16>,
<(0 1), [ 1, 2 ], 2*t^5 + 4*t^7 + 6*t^9 + 8*t^11 + 10*t^13 + 12*t^15>
*]>,
<7,
[*
<(0), [ 1 ], t^4 + 3*t^6 + 3*t^8 + 5*t^10 + 7*t^12 + 7*t^14 + 9*t^16>,
<(1), [ 6 ], 2*t^5 + 3*t^7 + 4*t^9 + 6*t^11 + 7*t^13 + 8*t^15>,
<(2), [ 3 ], t^4 + 2*t^6 + 4*t^8 + 5*t^10 + 6*t^12 + 8*t^14 + 9*t^16>,
<(3), [ 2 ], t^3 + t^5 + 3*t^7 + 5*t^9 + 5*t^11 + 7*t^13 + 9*t^15>
*]>,
<8,
[*
<(0 0), [ 1, 1 ], t^4 + 3*t^6 + 5*t^8 + 7*t^10 + 9*t^12 + 11*t^14 + 13*t^16>,
<(1 0), [ 2, 1 ], 2*t^5 + 4*t^7 + 6*t^9 + 8*t^11 + 10*t^13 + 12*t^15>,
<(0 1), [ 1, 2 ], 2*t^4 + 4*t^6 + 6*t^8 + 8*t^10 + 10*t^12 + 12*t^14 + 14*t^16>,
<(1 1), [ 2, 2 ], t^3 + 3*t^5 + 5*t^7 + 7*t^9 + 9*t^11 + 11*t^13 + 13*t^15>
*]>,
<9,
[*
<(0), [ 1 ], t^4 + 3*t^6 + 5*t^8 + 7*t^10 + 9*t^12 + 11*t^14 + 13*t^16>,
<(1), [ 6 ], t^3 + 3*t^5 + 5*t^7 + 7*t^9 + 9*t^11 + 11*t^13 + 13*t^15>,
<(2), [ 3 ], 2*t^4 + 4*t^6 + 6*t^8 + 8*t^10 + 10*t^12 + 12*t^14 + 14*t^16>,
<(3), [ 2 ], 2*t^5 + 4*t^7 + 6*t^9 + 8*t^11 + 10*t^13 + 12*t^15>
*]>,
<10,
[*
<(0 0), [ 1, 1 ], 3*t^4 + 5*t^6 + 9*t^8 + 11*t^10 + 15*t^12 + 17*t^14 + 21*t^16>,
<(0 1), [ 1, 4 ], t^3 + 4*t^5 + 7*t^7 + 10*t^9 + 13*t^11 + 16*t^13 + 19*t^15>,
<(0 2), [ 1, 2 ], 2*t^4 + 6*t^6 + 8*t^8 + 12*t^10 + 14*t^12 + 18*t^14 + 20*t^16>
*]>,
<11,
[*
<(0), [ 1 ], t^2 + 2*t^4 + 4*t^6 + 6*t^8 + 8*t^10 + 10*t^12 + 12*t^14 + 14*t^16>,
<(1), [ 10 ], t^3 + 3*t^5 + 5*t^7 + 7*t^9 + 9*t^11 + 11*t^13 + 13*t^15>,
<(2), [ 5 ], 2*t^4 + 4*t^6 + 6*t^8 + 8*t^10 + 10*t^12 + 12*t^14 + 14*t^16>,
<(5), [ 2 ], t^3 + 3*t^5 + 5*t^7 + 7*t^9 + 9*t^11 + 11*t^13 + 13*t^15>
*]>,
<12,
[*
<(0 0), [ 1, 1 ], 3*t^4 + 7*t^6 + 11*t^8 + 15*t^10 + 19*t^12 + 23*t^14 + 27*t^16>,
<(1 0), [ 2, 1 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>,
<(0 1), [ 1, 2 ], t^3 + 5*t^5 + 9*t^7 + 13*t^9 + 17*t^11 + 21*t^13 + 25*t^15>,
<(1 1), [ 2, 2 ], 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>
*]>,
<13,
[*
<(0), [ 1 ], 3*t^4 + 5*t^6 + 7*t^8 + 9*t^10 + 13*t^12 + 13*t^14 + 17*t^16>,
<(1), [ 12 ], t^3 + 4*t^5 + 6*t^7 + 8*t^9 + 11*t^11 + 13*t^13 + 15*t^15>,
<(2), [ 6 ], t^2 + 2*t^4 + 5*t^6 + 7*t^8 + 10*t^10 + 11*t^12 + 15*t^14 + 16*t^16>,
<(3), [ 4 ], 2*t^3 + 3*t^5 + 6*t^7 + 9*t^9 + 10*t^11 + 13*t^13 + 16*t^15>,
<(4), [ 3 ], 3*t^4 + 4*t^6 + 8*t^8 + 9*t^10 + 12*t^12 + 14*t^14 + 17*t^16>,
<(6), [ 2 ], 2*t^4 + 6*t^6 + 6*t^8 + 10*t^10 + 12*t^12 + 14*t^14 + 16*t^16>
*]>,
<14,
[*
<(0 0), [ 1, 1 ], t^2 + 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>,
<(0 1), [ 1, 6 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>,
<(0 2), [ 1, 3 ], 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>,
<(0 3), [ 1, 2 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>
*]>,
<15,
[*
<(0 0), [ 1, 1 ], t^2 + 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>,
<(2 0), [ 2, 1 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>,
<(0 1), [ 1, 4 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>,
<(2 1), [ 2, 4 ], 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>,
<(0 2), [ 1, 2 ], 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>,
<(2 2), [ 2, 2 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>
*]>,
<16,
[*
<(0 0), [ 1, 1 ], 3*t^4 + 7*t^6 + 11*t^8 + 15*t^10 + 19*t^12 + 23*t^14 + 27*t^16>,
<(2 0), [ 2, 1 ], t^3 + 5*t^5 + 9*t^7 + 13*t^9 + 17*t^11 + 21*t^13 + 25*t^15>,
<(0 1), [ 1, 4 ], t^2 + 5*t^4 + 9*t^6 + 13*t^8 + 17*t^10 + 21*t^12 + 25*t^14 + 29*t^16>,
<(2 1), [ 2, 4 ], 3*t^3 + 7*t^5 + 11*t^7 + 15*t^9 + 19*t^11 + 23*t^13 + 27*t^15>,
<(0 2), [ 1, 2 ], 4*t^4 + 8*t^6 + 12*t^8 + 16*t^10 + 20*t^12 + 24*t^14 + 28*t^16>,
<(2 2), [ 2, 2 ], 2*t^3 + 6*t^5 + 10*t^7 + 14*t^9 + 18*t^11 + 22*t^13 + 26*t^15>
*]>,
<17,
[*
<(0), [ 1 ], t^2 + 4*t^4 + 6*t^6 + 10*t^8 + 12*t^10 + 16*t^12 + 18*t^14 + 22*t^16>,
<(1), [ 16 ], 2*t^3 + 5*t^5 + 8*t^7 + 11*t^9 + 14*t^11 + 17*t^13 + 20*t^15>,
<(2), [ 8 ], t^2 + 3*t^4 + 7*t^6 + 9*t^8 + 13*t^10 + 15*t^12 + 19*t^14 + 21*t^16>,
<(4), [ 4 ], 4*t^4 + 6*t^6 + 10*t^8 + 12*t^10 + 16*t^12 + 18*t^14 + 22*t^16>,
<(8), [ 2 ], 4*t^4 + 6*t^6 + 10*t^8 + 12*t^10 + 16*t^12 + 18*t^14 + 22*t^16>
*]>,
<18,
[*
<(0 0), [ 1, 1 ], 5*t^4 + 11*t^6 + 17*t^8 + 23*t^10 + 29*t^12 + 35*t^14 + 41*t^16>,
<(0 1), [ 1, 6 ], 4*t^3 + 10*t^5 + 16*t^7 + 22*t^9 + 28*t^11 + 34*t^13 + 40*t^15>,
<(0 2), [ 1, 3 ], t^2 + 7*t^4 + 13*t^6 + 19*t^8 + 25*t^10 + 31*t^12 + 37*t^14 + 43*t^16>,
<(0 3), [ 1, 2 ], 2*t^3 + 8*t^5 + 14*t^7 + 20*t^9 + 26*t^11 + 32*t^13 + 38*t^15>
*]>,
<19,
[*
<(0), [ 1 ], t^2 + 4*t^4 + 8*t^6 + 10*t^8 + 14*t^10 + 18*t^12 + 20*t^14 + 24*t^16>,
<(1), [ 18 ], 2*t^3 + 6*t^5 + 9*t^7 + 12*t^9 + 16*t^11 + 19*t^13 + 22*t^15>,
<(2), [ 9 ], t^2 + 4*t^4 + 7*t^6 + 11*t^8 + 14*t^10 + 17*t^12 + 21*t^14 + 24*t^16>,
<(3), [ 6 ], 3*t^3 + 5*t^5 + 9*t^7 + 13*t^9 + 15*t^11 + 19*t^13 + 23*t^15>,
<(6), [ 3 ], 4*t^4 + 8*t^6 + 10*t^8 + 14*t^10 + 18*t^12 + 20*t^14 + 24*t^16>,
<(9), [ 2 ], 3*t^3 + 5*t^5 + 9*t^7 + 13*t^9 + 15*t^11 + 19*t^13 + 23*t^15>
*]>,
<20,
[*
<(0 0), [ 1, 1 ], t^2 + 6*t^4 + 12*t^6 + 18*t^8 + 24*t^10 + 30*t^12 + 36*t^14 + 42*t^16>,
<(2 0), [ 2, 1 ], 4*t^3 + 10*t^5 + 16*t^7 + 22*t^9 + 28*t^11 + 34*t^13 + 40*t^15>,
<(0 1), [ 1, 4 ], 3*t^3 + 9*t^5 + 15*t^7 + 21*t^9 + 27*t^11 + 33*t^13 + 39*t^15>,
<(2 1), [ 2, 4 ], t^2 + 7*t^4 + 13*t^6 + 19*t^8 + 25*t^10 + 31*t^12 + 37*t^14 + 43*t^16>,
<(0 2), [ 1, 2 ], 6*t^4 + 12*t^6 + 18*t^8 + 24*t^10 + 30*t^12 + 36*t^14 + 42*t^16>,
<(2 2), [ 2, 2 ], 4*t^3 + 10*t^5 + 16*t^7 + 22*t^9 + 28*t^11 + 34*t^13 + 40*t^15>
*]>,
<21,
[*
<(0 0), [ 1, 1 ], t^2 + 6*t^4 + 12*t^6 + 16*t^8 + 22*t^10 + 28*t^12 + 32*t^14 + 38*t^16>,
<(3 0), [ 2, 1 ], 4*t^3 + 8*t^5 + 14*t^7 + 20*t^9 + 24*t^11 + 30*t^13 + 36*t^15>,
<(0 1), [ 1, 6 ], 3*t^3 + 9*t^5 + 14*t^7 + 19*t^9 + 25*t^11 + 30*t^13 + 35*t^15>,
<(3 1), [ 2, 6 ], t^2 + 6*t^4 + 11*t^6 + 17*t^8 + 22*t^10 + 27*t^12 + 33*t^14 + 38*t^16>,
<(0 2), [ 1, 3 ], t^2 + 6*t^4 + 11*t^6 + 17*t^8 + 22*t^10 + 27*t^12 + 33*t^14 + 38*t^16>,
<(3 2), [ 2, 3 ], 3*t^3 + 9*t^5 + 14*t^7 + 19*t^9 + 25*t^11 + 30*t^13 + 35*t^15>,
<(0 3), [ 1, 2 ], 4*t^3 + 8*t^5 + 14*t^7 + 20*t^9 + 24*t^11 + 30*t^13 + 36*t^15>,
<(3 3), [ 2, 2 ], 6*t^4 + 12*t^6 + 16*t^8 + 22*t^10 + 28*t^12 + 32*t^14 + 38*t^16>
*]>,
<22,
[*
<(0 0), [ 1, 1 ], 2*t^2 + 7*t^4 + 13*t^6 + 19*t^8 + 25*t^10 + 31*t^12 + 37*t^14 + 43*t^16>,
<(0 1), [ 1, 10 ], 4*t^3 + 10*t^5 + 16*t^7 + 22*t^9 + 28*t^11 + 34*t^13 + 40*t^15>,
<(0 2), [ 1, 5 ], t^2 + 7*t^4 + 13*t^6 + 19*t^8 + 25*t^10 + 31*t^12 + 37*t^14 + 43*t^16>,
<(0 5), [ 1, 2 ], 4*t^3 + 10*t^5 + 16*t^7 + 22*t^9 + 28*t^11 + 34*t^13 + 40*t^15>
*]>,
<23,
[*
<(0), [ 1 ], 2*t^2 + 5*t^4 + 9*t^6 + 13*t^8 + 17*t^10 + 21*t^12 + 25*t^14 + 29*t^16>,
<(1), [ 22 ], 3*t^3 + 7*t^5 + 11*t^7 + 15*t^9 + 19*t^11 + 23*t^13 + 27*t^15>,
<(2), [ 11 ], t^2 + 5*t^4 + 9*t^6 + 13*t^8 + 17*t^10 + 21*t^12 + 25*t^14 + 29*t^16>,
<(11), [ 2 ], 3*t^3 + 7*t^5 + 11*t^7 + 15*t^9 + 19*t^11 + 23*t^13 + 27*t^15>
*]>,
<24,
[*
<(0 0 0), [ 1, 1, 1 ], t^2 + 8*t^4 + 16*t^6 + 24*t^8 + 32*t^10 + 40*t^12 + 48*t^14 + 56*t^16>,
<(1 0 0), [ 2, 1, 1 ], 4*t^3 + 12*t^5 + 20*t^7 + 28*t^9 + 36*t^11 + 44*t^13 + 52*t^15>,
<(0 1 0), [ 1, 2, 1 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(1 1 0), [ 2, 2, 1 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(0 0 1), [ 1, 1, 2 ], 4*t^3 + 12*t^5 + 20*t^7 + 28*t^9 + 36*t^11 + 44*t^13 + 52*t^15>,
<(1 0 1), [ 2, 1, 2 ], 8*t^4 + 16*t^6 + 24*t^8 + 32*t^10 + 40*t^12 + 48*t^14 + 56*t^16>,
<(0 1 1), [ 1, 2, 2 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(1 1 1), [ 2, 2, 2 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>
*]>,
<25,
[*
<(0), [ 1 ], 5*t^4 + 9*t^6 + 15*t^8 + 19*t^10 + 25*t^12 + 29*t^14 + 35*t^16>,
<(1), [ 20 ], 4*t^3 + 9*t^5 + 14*t^7 + 19*t^9 + 24*t^11 + 29*t^13 + 34*t^15>,
<(2), [ 10 ], 2*t^2 + 6*t^4 + 12*t^6 + 16*t^8 + 22*t^10 + 26*t^12 + 32*t^14 + 36*t^16>,
<(4), [ 5 ], t^2 + 7*t^4 + 11*t^6 + 17*t^8 + 21*t^10 + 27*t^12 + 31*t^14 + 37*t^16>,
<(5), [ 4 ], 2*t^3 + 7*t^5 + 12*t^7 + 17*t^9 + 22*t^11 + 27*t^13 + 32*t^15>,
<(10), [ 2 ], 4*t^4 + 10*t^6 + 14*t^8 + 20*t^10 + 24*t^12 + 30*t^14 + 34*t^16>
*]>,
<26,
[*
<(0 0), [ 1, 1 ], 2*t^2 + 9*t^4 + 15*t^6 + 23*t^8 + 29*t^10 + 37*t^12 + 43*t^14 + 51*t^16>,
<(0 1), [ 1, 12 ], 5*t^3 + 12*t^5 + 19*t^7 + 26*t^9 + 33*t^11 + 40*t^13 + 47*t^15>,
<(0 2), [ 1, 6 ], 2*t^2 + 8*t^4 + 16*t^6 + 22*t^8 + 30*t^10 + 36*t^12 + 44*t^14 + 50*t^16>,
<(0 3), [ 1, 4 ], 5*t^3 + 12*t^5 + 19*t^7 + 26*t^9 + 33*t^11 + 40*t^13 + 47*t^15>,
<(0 4), [ 1, 3 ], t^2 + 9*t^4 + 15*t^6 + 23*t^8 + 29*t^10 + 37*t^12 + 43*t^14 + 51*t^16>,
<(0 6), [ 1, 2 ], 2*t^2 + 8*t^4 + 16*t^6 + 22*t^8 + 30*t^10 + 36*t^12 + 44*t^14 + 50*t^16>
*]>,
<27,
[*
<(0), [ 1 ], t^2 + 6*t^4 + 12*t^6 + 18*t^8 + 24*t^10 + 30*t^12 + 36*t^14 + 42*t^16>,
<(1), [ 18 ], 5*t^3 + 11*t^5 + 17*t^7 + 23*t^9 + 29*t^11 + 35*t^13 + 41*t^15>,
<(2), [ 9 ], 2*t^2 + 8*t^4 + 14*t^6 + 20*t^8 + 26*t^10 + 32*t^12 + 38*t^14 + 44*t^16>,
<(3), [ 6 ], 3*t^3 + 9*t^5 + 15*t^7 + 21*t^9 + 27*t^11 + 33*t^13 + 39*t^15>,
<(6), [ 3 ], 6*t^4 + 12*t^6 + 18*t^8 + 24*t^10 + 30*t^12 + 36*t^14 + 42*t^16>,
<(9), [ 2 ], 3*t^3 + 9*t^5 + 15*t^7 + 21*t^9 + 27*t^11 + 33*t^13 + 39*t^15>
*]>,
<28,
[*
<(0 0), [ 1, 1 ], 2*t^2 + 9*t^4 + 17*t^6 + 25*t^8 + 33*t^10 + 41*t^12 + 49*t^14 + 57*t^16>,
<(3 0), [ 2, 1 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(0 1), [ 1, 6 ], 5*t^3 + 13*t^5 + 21*t^7 + 29*t^9 + 37*t^11 + 45*t^13 + 53*t^15>,
<(3 1), [ 2, 6 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(0 2), [ 1, 3 ], t^2 + 9*t^4 + 17*t^6 + 25*t^8 + 33*t^10 + 41*t^12 + 49*t^14 + 57*t^16>,
<(3 2), [ 2, 3 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(0 3), [ 1, 2 ], 5*t^3 + 13*t^5 + 21*t^7 + 29*t^9 + 37*t^11 + 45*t^13 + 53*t^15>,
<(3 3), [ 2, 2 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>
*]>,
<29,
[*
<(0), [ 1 ], 2*t^2 + 7*t^4 + 11*t^6 + 17*t^8 + 21*t^10 + 27*t^12 + 31*t^14 + 37*t^16>,
<(1), [ 28 ], 4*t^3 + 9*t^5 + 14*t^7 + 19*t^9 + 24*t^11 + 29*t^13 + 34*t^15>,
<(2), [ 14 ], 2*t^2 + 6*t^4 + 12*t^6 + 16*t^8 + 22*t^10 + 26*t^12 + 32*t^14 + 36*t^16>,
<(4), [ 7 ], t^2 + 7*t^4 + 11*t^6 + 17*t^8 + 21*t^10 + 27*t^12 + 31*t^14 + 37*t^16>,
<(7), [ 4 ], 4*t^3 + 9*t^5 + 14*t^7 + 19*t^9 + 24*t^11 + 29*t^13 + 34*t^15>,
<(14), [ 2 ], 2*t^2 + 6*t^4 + 12*t^6 + 16*t^8 + 22*t^10 + 26*t^12 + 32*t^14 + 36*t^16>
*]>,
<30,
[*
<(0 0 0), [ 1, 1, 1 ], 3*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(0 2 0), [ 1, 2, 1 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(0 0 1), [ 1, 1, 4 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(0 2 1), [ 1, 2, 4 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(0 0 2), [ 1, 1, 2 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(0 2 2), [ 1, 2, 2 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>
*]>,
<31,
[*
<(0), [ 1 ], 2*t^2 + 7*t^4 + 13*t^6 + 17*t^8 + 23*t^10 + 29*t^12 + 33*t^14 + 39*t^16>,
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<(2), [ 15 ], 2*t^2 + 7*t^4 + 12*t^6 + 18*t^8 + 23*t^10 + 28*t^12 + 34*t^14 + 39*t^16>,
<(3), [ 10 ], 5*t^3 + 9*t^5 + 15*t^7 + 21*t^9 + 25*t^11 + 31*t^13 + 37*t^15>,
<(5), [ 6 ], 4*t^3 + 10*t^5 + 15*t^7 + 20*t^9 + 26*t^11 + 31*t^13 + 36*t^15>,
<(6), [ 5 ], t^2 + 7*t^4 + 13*t^6 + 17*t^8 + 23*t^10 + 29*t^12 + 33*t^14 + 39*t^16>,
<(10), [ 3 ], 2*t^2 + 7*t^4 + 12*t^6 + 18*t^8 + 23*t^10 + 28*t^12 + 34*t^14 + 39*t^16>,
<(15), [ 2 ], 5*t^3 + 9*t^5 + 15*t^7 + 21*t^9 + 25*t^11 + 31*t^13 + 37*t^15>
*]>,
<32,
[*
<(0 0), [ 1, 1 ], t^2 + 8*t^4 + 16*t^6 + 24*t^8 + 32*t^10 + 40*t^12 + 48*t^14 + 56*t^16>,
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<(0 1), [ 1, 8 ], 3*t^2 + 11*t^4 + 19*t^6 + 27*t^8 + 35*t^10 + 43*t^12 + 51*t^14 + 59*t^16>,
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<(0 2), [ 1, 4 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
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<(0 4), [ 1, 2 ], 8*t^4 + 16*t^6 + 24*t^8 + 32*t^10 + 40*t^12 + 48*t^14 + 56*t^16>,
<(4 4), [ 2, 2 ], 4*t^3 + 12*t^5 + 20*t^7 + 28*t^9 + 36*t^11 + 44*t^13 + 52*t^15>
*]>,
<33,
[*
<(0 0), [ 1, 1 ], 3*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(5 0), [ 2, 1 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
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<(0 2), [ 1, 5 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
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<(0 5), [ 1, 2 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(5 5), [ 2, 2 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>
*]>,
<34,
[*
<(0 0), [ 1, 1 ], 3*t^2 + 12*t^4 + 20*t^6 + 30*t^8 + 38*t^10 + 48*t^12 + 56*t^14 + 66*t^16>,
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<(0 2), [ 1, 8 ], 3*t^2 + 11*t^4 + 21*t^6 + 29*t^8 + 39*t^10 + 47*t^12 + 57*t^14 + 65*t^16>,
<(0 4), [ 1, 4 ], 2*t^2 + 12*t^4 + 20*t^6 + 30*t^8 + 38*t^10 + 48*t^12 + 56*t^14 + 66*t^16>,
<(0 8), [ 1, 2 ], 2*t^2 + 12*t^4 + 20*t^6 + 30*t^8 + 38*t^10 + 48*t^12 + 56*t^14 + 66*t^16>
*]>,
<35,
[*
<(0 0), [ 1, 1 ], 3*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(3 0), [ 4, 1 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(6 0), [ 2, 1 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(0 2), [ 1, 6 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(3 2), [ 4, 6 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
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<(0 4), [ 1, 3 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(3 4), [ 4, 3 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(6 4), [ 2, 3 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(0 6), [ 1, 2 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>,
<(3 6), [ 4, 2 ], 2*t^2 + 10*t^4 + 18*t^6 + 26*t^8 + 34*t^10 + 42*t^12 + 50*t^14 + 58*t^16>,
<(6 6), [ 2, 2 ], 6*t^3 + 14*t^5 + 22*t^7 + 30*t^9 + 38*t^11 + 46*t^13 + 54*t^15>
*]>,
<36,
[*
<(0 0), [ 1, 1 ], t^2 + 12*t^4 + 24*t^6 + 36*t^8 + 48*t^10 + 60*t^12 + 72*t^14 + 84*t^16>,
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<(0 1), [ 1, 6 ], 9*t^3 + 21*t^5 + 33*t^7 + 45*t^9 + 57*t^11 + 69*t^13 + 81*t^15>,
<(3 1), [ 2, 6 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(0 2), [ 1, 3 ], 3*t^2 + 15*t^4 + 27*t^6 + 39*t^8 + 51*t^10 + 63*t^12 + 75*t^14 + 87*t^16>,
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<(0 3), [ 1, 2 ], 6*t^3 + 18*t^5 + 30*t^7 + 42*t^9 + 54*t^11 + 66*t^13 + 78*t^15>,
<(3 3), [ 2, 2 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>
*]>,
<37,
[*
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<(6), [ 6 ], 2*t^2 + 8*t^4 + 16*t^6 + 20*t^8 + 28*t^10 + 34*t^12 + 40*t^14 + 46*t^16>,
<(9), [ 4 ], 6*t^3 + 11*t^5 + 18*t^7 + 25*t^9 + 30*t^11 + 37*t^13 + 44*t^15>,
<(12), [ 3 ], t^2 + 9*t^4 + 15*t^6 + 21*t^8 + 27*t^10 + 35*t^12 + 39*t^14 + 47*t^16>,
<(18), [ 2 ], 2*t^2 + 8*t^4 + 16*t^6 + 20*t^8 + 28*t^10 + 34*t^12 + 40*t^14 + 46*t^16>
*]>,
<38,
[*
<(0 0), [ 1, 1 ], 4*t^2 + 13*t^4 + 23*t^6 + 33*t^8 + 43*t^10 + 53*t^12 + 63*t^14 + 73*t^16>,
<(0 1), [ 1, 18 ], 8*t^3 + 18*t^5 + 28*t^7 + 38*t^9 + 48*t^11 + 58*t^13 + 68*t^15>,
<(0 2), [ 1, 9 ], 3*t^2 + 13*t^4 + 23*t^6 + 33*t^8 + 43*t^10 + 53*t^12 + 63*t^14 + 73*t^16>,
<(0 3), [ 1, 6 ], 8*t^3 + 18*t^5 + 28*t^7 + 38*t^9 + 48*t^11 + 58*t^13 + 68*t^15>,
<(0 6), [ 1, 3 ], 3*t^2 + 13*t^4 + 23*t^6 + 33*t^8 + 43*t^10 + 53*t^12 + 63*t^14 + 73*t^16>,
<(0 9), [ 1, 2 ], 8*t^3 + 18*t^5 + 28*t^7 + 38*t^9 + 48*t^11 + 58*t^13 + 68*t^15>
*]>,
<39,
[*
<(0 0), [ 1, 1 ], 3*t^2 + 12*t^4 + 22*t^6 + 30*t^8 + 40*t^10 + 50*t^12 + 58*t^14 + 68*t^16>,
<(6 0), [ 2, 1 ], 8*t^3 + 16*t^5 + 26*t^7 + 36*t^9 + 44*t^11 + 54*t^13 + 64*t^15>,
<(0 1), [ 1, 12 ], 7*t^3 + 17*t^5 + 26*t^7 + 35*t^9 + 45*t^11 + 54*t^13 + 63*t^15>,
<(6 1), [ 2, 12 ], 3*t^2 + 12*t^4 + 21*t^6 + 31*t^8 + 40*t^10 + 49*t^12 + 59*t^14 + 68*t^16>,
<(0 2), [ 1, 6 ], 3*t^2 + 12*t^4 + 21*t^6 + 31*t^8 + 40*t^10 + 49*t^12 + 59*t^14 + 68*t^16>,
<(6 2), [ 2, 6 ], 7*t^3 + 17*t^5 + 26*t^7 + 35*t^9 + 45*t^11 + 54*t^13 + 63*t^15>,
<(0 3), [ 1, 4 ], 8*t^3 + 16*t^5 + 26*t^7 + 36*t^9 + 44*t^11 + 54*t^13 + 64*t^15>,
<(6 3), [ 2, 4 ], 2*t^2 + 12*t^4 + 22*t^6 + 30*t^8 + 40*t^10 + 50*t^12 + 58*t^14 + 68*t^16>,
<(0 4), [ 1, 3 ], 3*t^2 + 12*t^4 + 21*t^6 + 31*t^8 + 40*t^10 + 49*t^12 + 59*t^14 + 68*t^16>,
<(6 4), [ 2, 3 ], 7*t^3 + 17*t^5 + 26*t^7 + 35*t^9 + 45*t^11 + 54*t^13 + 63*t^15>,
<(0 6), [ 1, 2 ], 2*t^2 + 12*t^4 + 22*t^6 + 30*t^8 + 40*t^10 + 50*t^12 + 58*t^14 + 68*t^16>,
<(6 6), [ 2, 2 ], 8*t^3 + 16*t^5 + 26*t^7 + 36*t^9 + 44*t^11 + 54*t^13 + 64*t^15>
*]>,
<40,
[*
<(0 0 0), [ 1, 1, 1 ], 3*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(2 0 0), [ 2, 1, 1 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(0 2 0), [ 1, 2, 1 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(2 2 0), [ 2, 2, 1 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 0 1), [ 1, 1, 4 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(2 0 1), [ 2, 1, 4 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(0 2 1), [ 1, 2, 4 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(2 2 1), [ 2, 2, 4 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(0 0 2), [ 1, 1, 2 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(2 0 2), [ 2, 1, 2 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(0 2 2), [ 1, 2, 2 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(2 2 2), [ 2, 2, 2 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>
*]>,
<41,
[*
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<(4), [ 10 ], 2*t^2 + 10*t^4 + 16*t^6 + 24*t^8 + 30*t^10 + 38*t^12 + 44*t^14 + 52*t^16>,
<(5), [ 8 ], 6*t^3 + 13*t^5 + 20*t^7 + 27*t^9 + 34*t^11 + 41*t^13 + 48*t^15>,
<(8), [ 5 ], 2*t^2 + 10*t^4 + 16*t^6 + 24*t^8 + 30*t^10 + 38*t^12 + 44*t^14 + 52*t^16>,
<(10), [ 4 ], 3*t^2 + 9*t^4 + 17*t^6 + 23*t^8 + 31*t^10 + 37*t^12 + 45*t^14 + 51*t^16>,
<(20), [ 2 ], 2*t^2 + 10*t^4 + 16*t^6 + 24*t^8 + 30*t^10 + 38*t^12 + 44*t^14 + 52*t^16>
*]>,
<42,
[*
<(0 0 0), [ 1, 1, 1 ], 5*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(0 3 0), [ 1, 2, 1 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 0 1), [ 1, 1, 6 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 3 1), [ 1, 2, 6 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(0 0 2), [ 1, 1, 3 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(0 3 2), [ 1, 2, 3 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 0 3), [ 1, 1, 2 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 3 3), [ 1, 2, 2 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>
*]>,
<43,
[*
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<(6), [ 7 ], 2*t^2 + 10*t^4 + 18*t^6 + 24*t^8 + 32*t^10 + 40*t^12 + 46*t^14 + 54*t^16>,
<(7), [ 6 ], 6*t^3 + 14*t^5 + 21*t^7 + 28*t^9 + 36*t^11 + 43*t^13 + 50*t^15>,
<(14), [ 3 ], 3*t^2 + 10*t^4 + 17*t^6 + 25*t^8 + 32*t^10 + 39*t^12 + 47*t^14 + 54*t^16>,
<(21), [ 2 ], 7*t^3 + 13*t^5 + 21*t^7 + 29*t^9 + 35*t^11 + 43*t^13 + 51*t^15>
*]>,
<44,
[*
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<(5 0), [ 2, 1 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 1), [ 1, 10 ], 9*t^3 + 21*t^5 + 33*t^7 + 45*t^9 + 57*t^11 + 69*t^13 + 81*t^15>,
<(5 1), [ 2, 10 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(0 2), [ 1, 5 ], 3*t^2 + 15*t^4 + 27*t^6 + 39*t^8 + 51*t^10 + 63*t^12 + 75*t^14 + 87*t^16>,
<(5 2), [ 2, 5 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 5), [ 1, 2 ], 9*t^3 + 21*t^5 + 33*t^7 + 45*t^9 + 57*t^11 + 69*t^13 + 81*t^15>,
<(5 5), [ 2, 2 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>
*]>,
<45,
[*
<(0 0), [ 1, 1 ], 3*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(2 0), [ 6, 1 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(4 0), [ 3, 1 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(6 0), [ 2, 1 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(0 3), [ 1, 4 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>,
<(2 3), [ 6, 4 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(4 3), [ 3, 4 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(6 3), [ 2, 4 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(0 6), [ 1, 2 ], 2*t^2 + 14*t^4 + 26*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 74*t^14 + 86*t^16>,
<(2 6), [ 6, 2 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(4 6), [ 3, 2 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(6 6), [ 2, 2 ], 8*t^3 + 20*t^5 + 32*t^7 + 44*t^9 + 56*t^11 + 68*t^13 + 80*t^15>
*]>,
<46,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(0 1), [ 1, 22 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 2), [ 1, 11 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<( 0 11), [ 1, 2 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>
*]>,
<47,
[*
<(0), [ 1 ], 4*t^2 + 11*t^4 + 19*t^6 + 27*t^8 + 35*t^10 + 43*t^12 + 51*t^14 + 59*t^16>,
<(1), [ 46 ], 7*t^3 + 15*t^5 + 23*t^7 + 31*t^9 + 39*t^11 + 47*t^13 + 55*t^15>,
<(2), [ 23 ], 3*t^2 + 11*t^4 + 19*t^6 + 27*t^8 + 35*t^10 + 43*t^12 + 51*t^14 + 59*t^16>,
<(23), [ 2 ], 7*t^3 + 15*t^5 + 23*t^7 + 31*t^9 + 39*t^11 + 47*t^13 + 55*t^15>
*]>,
<48,
[*
<(0 0 0), [ 1, 1, 1 ], 3*t^2 + 18*t^4 + 34*t^6 + 50*t^8 + 66*t^10 + 82*t^12 + 98*t^14 + 114*t^16>,
<(2 0 0), [ 2, 1, 1 ], 10*t^3 + 26*t^5 + 42*t^7 + 58*t^9 + 74*t^11 + 90*t^13 + 106*t^15>,
<(0 1 0), [ 1, 4, 1 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(2 1 0), [ 2, 4, 1 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(0 2 0), [ 1, 2, 1 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(2 2 0), [ 2, 2, 1 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 0 2), [ 1, 1, 2 ], 10*t^3 + 26*t^5 + 42*t^7 + 58*t^9 + 74*t^11 + 90*t^13 + 106*t^15>,
<(2 0 2), [ 2, 1, 2 ], 2*t^2 + 18*t^4 + 34*t^6 + 50*t^8 + 66*t^10 + 82*t^12 + 98*t^14 + 114*t^16>,
<(0 1 2), [ 1, 4, 2 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(2 1 2), [ 2, 4, 2 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(0 2 2), [ 1, 2, 2 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(2 2 2), [ 2, 2, 2 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>
*]>,
<49,
[*
<(0), [ 1 ], t^2 + 10*t^4 + 20*t^6 + 28*t^8 + 38*t^10 + 48*t^12 + 56*t^14 + 66*t^16>,
<(1), [ 42 ], 8*t^3 + 18*t^5 + 27*t^7 + 36*t^9 + 46*t^11 + 55*t^13 + 64*t^15>,
<(2), [ 21 ], 4*t^2 + 13*t^4 + 22*t^6 + 32*t^8 + 41*t^10 + 50*t^12 + 60*t^14 + 69*t^16>,
<(3), [ 14 ], 9*t^3 + 17*t^5 + 27*t^7 + 37*t^9 + 45*t^11 + 55*t^13 + 65*t^15>,
<(6), [ 7 ], 3*t^2 + 13*t^4 + 23*t^6 + 31*t^8 + 41*t^10 + 51*t^12 + 59*t^14 + 69*t^16>,
<(7), [ 6 ], 5*t^3 + 15*t^5 + 24*t^7 + 33*t^9 + 43*t^11 + 52*t^13 + 61*t^15>,
<(14), [ 3 ], t^2 + 10*t^4 + 19*t^6 + 29*t^8 + 38*t^10 + 47*t^12 + 57*t^14 + 66*t^16>,
<(21), [ 2 ], 6*t^3 + 14*t^5 + 24*t^7 + 34*t^9 + 42*t^11 + 52*t^13 + 62*t^15>
*]>,
<50,
[*
<(0 0), [ 1, 1 ], 2*t^2 + 17*t^4 + 31*t^6 + 47*t^8 + 61*t^10 + 77*t^12 + 91*t^14 + 107*t^16>,
<(0 1), [ 1, 20 ], 13*t^3 + 28*t^5 + 43*t^7 + 58*t^9 + 73*t^11 + 88*t^13 + 103*t^15>,
<(0 2), [ 1, 10 ], 6*t^2 + 20*t^4 + 36*t^6 + 50*t^8 + 66*t^10 + 80*t^12 + 96*t^14 + 110*t^16>,
<(0 4), [ 1, 5 ], 5*t^2 + 21*t^4 + 35*t^6 + 51*t^8 + 65*t^10 + 81*t^12 + 95*t^14 + 111*t^16>,
<(0 5), [ 1, 4 ], 9*t^3 + 24*t^5 + 39*t^7 + 54*t^9 + 69*t^11 + 84*t^13 + 99*t^15>,
<( 0 10), [ 1, 2 ], 2*t^2 + 16*t^4 + 32*t^6 + 46*t^8 + 62*t^10 + 76*t^12 + 92*t^14 + 106*t^16>
*]>,
<51,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(8 0), [ 2, 1 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 1), [ 1, 16 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(8 1), [ 2, 16 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(0 2), [ 1, 8 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(8 2), [ 2, 8 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 4), [ 1, 4 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(8 4), [ 2, 4 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 8), [ 1, 2 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(8 8), [ 2, 2 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>
*]>,
<52,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 18*t^4 + 32*t^6 + 46*t^8 + 60*t^10 + 74*t^12 + 88*t^14 + 102*t^16>,
<(6 0), [ 2, 1 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(0 1), [ 1, 12 ], 11*t^3 + 25*t^5 + 39*t^7 + 53*t^9 + 67*t^11 + 81*t^13 + 95*t^15>,
<(6 1), [ 2, 12 ], 5*t^2 + 19*t^4 + 33*t^6 + 47*t^8 + 61*t^10 + 75*t^12 + 89*t^14 + 103*t^16>,
<(0 2), [ 1, 6 ], 4*t^2 + 18*t^4 + 32*t^6 + 46*t^8 + 60*t^10 + 74*t^12 + 88*t^14 + 102*t^16>,
<(6 2), [ 2, 6 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(0 3), [ 1, 4 ], 11*t^3 + 25*t^5 + 39*t^7 + 53*t^9 + 67*t^11 + 81*t^13 + 95*t^15>,
<(6 3), [ 2, 4 ], 5*t^2 + 19*t^4 + 33*t^6 + 47*t^8 + 61*t^10 + 75*t^12 + 89*t^14 + 103*t^16>,
<(0 4), [ 1, 3 ], 4*t^2 + 18*t^4 + 32*t^6 + 46*t^8 + 60*t^10 + 74*t^12 + 88*t^14 + 102*t^16>,
<(6 4), [ 2, 3 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(0 6), [ 1, 2 ], 4*t^2 + 18*t^4 + 32*t^6 + 46*t^8 + 60*t^10 + 74*t^12 + 88*t^14 + 102*t^16>,
<(6 6), [ 2, 2 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>
*]>,
<53,
[*
<(0), [ 1 ], 4*t^2 + 13*t^4 + 21*t^6 + 31*t^8 + 39*t^10 + 49*t^12 + 57*t^14 + 67*t^16>,
<(1), [ 52 ], 8*t^3 + 17*t^5 + 26*t^7 + 35*t^9 + 44*t^11 + 53*t^13 + 62*t^15>,
<(2), [ 26 ], 4*t^2 + 12*t^4 + 22*t^6 + 30*t^8 + 40*t^10 + 48*t^12 + 58*t^14 + 66*t^16>,
<(4), [ 13 ], 3*t^2 + 13*t^4 + 21*t^6 + 31*t^8 + 39*t^10 + 49*t^12 + 57*t^14 + 67*t^16>,
<(13), [ 4 ], 8*t^3 + 17*t^5 + 26*t^7 + 35*t^9 + 44*t^11 + 53*t^13 + 62*t^15>,
<(26), [ 2 ], 4*t^2 + 12*t^4 + 22*t^6 + 30*t^8 + 40*t^10 + 48*t^12 + 58*t^14 + 66*t^16>
*]>,
<54,
[*
<(0 0), [ 1, 1 ], 4*t^2 + 21*t^4 + 39*t^6 + 57*t^8 + 75*t^10 + 93*t^12 + 111*t^14 + 129*t^16>,
<(0 1), [ 1, 18 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(0 2), [ 1, 9 ], 7*t^2 + 25*t^4 + 43*t^6 + 61*t^8 + 79*t^10 + 97*t^12 + 115*t^14 + 133*t^16>,
<(0 3), [ 1, 6 ], 12*t^3 + 30*t^5 + 48*t^7 + 66*t^9 + 84*t^11 + 102*t^13 + 120*t^15>,
<(0 6), [ 1, 3 ], 3*t^2 + 21*t^4 + 39*t^6 + 57*t^8 + 75*t^10 + 93*t^12 + 111*t^14 + 129*t^16>,
<(0 9), [ 1, 2 ], 12*t^3 + 30*t^5 + 48*t^7 + 66*t^9 + 84*t^11 + 102*t^13 + 120*t^15>
*]>,
<55,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(5 0), [ 4, 1 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(10 0), [ 2, 1 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(0 2), [ 1, 10 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(5 2), [ 4, 10 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(10 2), [ 2, 10 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(0 4), [ 1, 5 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(5 4), [ 4, 5 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<(10 4), [ 2, 5 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<( 0 10), [ 1, 2 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>,
<( 5 10), [ 4, 2 ], 4*t^2 + 16*t^4 + 28*t^6 + 40*t^8 + 52*t^10 + 64*t^12 + 76*t^14 + 88*t^16>,
<(10 10), [ 2, 2 ], 10*t^3 + 22*t^5 + 34*t^7 + 46*t^9 + 58*t^11 + 70*t^13 + 82*t^15>
*]>,
<56,
[*
<(0 0 0), [ 1, 1, 1 ], 5*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(3 0 0), [ 2, 1, 1 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 3 0), [ 1, 2, 1 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(3 3 0), [ 2, 2, 1 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(0 0 1), [ 1, 1, 6 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(3 0 1), [ 2, 1, 6 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(0 3 1), [ 1, 2, 6 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(3 3 1), [ 2, 2, 6 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(0 0 2), [ 1, 1, 3 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(3 0 2), [ 2, 1, 3 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(0 3 2), [ 1, 2, 3 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(3 3 2), [ 2, 2, 3 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(0 0 3), [ 1, 1, 2 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(3 0 3), [ 2, 1, 2 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
<(0 3 3), [ 1, 2, 2 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(3 3 3), [ 2, 2, 2 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>
*]>,
<57,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 18*t^4 + 32*t^6 + 44*t^8 + 58*t^10 + 72*t^12 + 84*t^14 + 98*t^16>,
<(9 0), [ 2, 1 ], 12*t^3 + 24*t^5 + 38*t^7 + 52*t^9 + 64*t^11 + 78*t^13 + 92*t^15>,
<(0 1), [ 1, 18 ], 11*t^3 + 25*t^5 + 38*t^7 + 51*t^9 + 65*t^11 + 78*t^13 + 91*t^15>,
<(9 1), [ 2, 18 ], 5*t^2 + 18*t^4 + 31*t^6 + 45*t^8 + 58*t^10 + 71*t^12 + 85*t^14 + 98*t^16>,
<(0 2), [ 1, 9 ], 5*t^2 + 18*t^4 + 31*t^6 + 45*t^8 + 58*t^10 + 71*t^12 + 85*t^14 + 98*t^16>,
<(9 2), [ 2, 9 ], 11*t^3 + 25*t^5 + 38*t^7 + 51*t^9 + 65*t^11 + 78*t^13 + 91*t^15>,
<(0 3), [ 1, 6 ], 12*t^3 + 24*t^5 + 38*t^7 + 52*t^9 + 64*t^11 + 78*t^13 + 92*t^15>,
<(9 3), [ 2, 6 ], 4*t^2 + 18*t^4 + 32*t^6 + 44*t^8 + 58*t^10 + 72*t^12 + 84*t^14 + 98*t^16>,
<(0 6), [ 1, 3 ], 4*t^2 + 18*t^4 + 32*t^6 + 44*t^8 + 58*t^10 + 72*t^12 + 84*t^14 + 98*t^16>,
<(9 6), [ 2, 3 ], 12*t^3 + 24*t^5 + 38*t^7 + 52*t^9 + 64*t^11 + 78*t^13 + 92*t^15>,
<(0 9), [ 1, 2 ], 12*t^3 + 24*t^5 + 38*t^7 + 52*t^9 + 64*t^11 + 78*t^13 + 92*t^15>,
<(9 9), [ 2, 2 ], 4*t^2 + 18*t^4 + 32*t^6 + 44*t^8 + 58*t^10 + 72*t^12 + 84*t^14 + 98*t^16>
*]>,
<58,
[*
<(0 0), [ 1, 1 ], 6*t^2 + 21*t^4 + 35*t^6 + 51*t^8 + 65*t^10 + 81*t^12 + 95*t^14 + 111*t^16>,
<(0 1), [ 1, 28 ], 13*t^3 + 28*t^5 + 43*t^7 + 58*t^9 + 73*t^11 + 88*t^13 + 103*t^15>,
<(0 2), [ 1, 14 ], 6*t^2 + 20*t^4 + 36*t^6 + 50*t^8 + 66*t^10 + 80*t^12 + 96*t^14 + 110*t^16>,
<(0 4), [ 1, 7 ], 5*t^2 + 21*t^4 + 35*t^6 + 51*t^8 + 65*t^10 + 81*t^12 + 95*t^14 + 111*t^16>,
<(0 7), [ 1, 4 ], 13*t^3 + 28*t^5 + 43*t^7 + 58*t^9 + 73*t^11 + 88*t^13 + 103*t^15>,
<( 0 14), [ 1, 2 ], 6*t^2 + 20*t^4 + 36*t^6 + 50*t^8 + 66*t^10 + 80*t^12 + 96*t^14 + 110*t^16>
*]>,
<59,
[*
<(0), [ 1 ], 5*t^2 + 14*t^4 + 24*t^6 + 34*t^8 + 44*t^10 + 54*t^12 + 64*t^14 + 74*t^16>,
<(1), [ 58 ], 9*t^3 + 19*t^5 + 29*t^7 + 39*t^9 + 49*t^11 + 59*t^13 + 69*t^15>,
<(2), [ 29 ], 4*t^2 + 14*t^4 + 24*t^6 + 34*t^8 + 44*t^10 + 54*t^12 + 64*t^14 + 74*t^16>,
<(29), [ 2 ], 9*t^3 + 19*t^5 + 29*t^7 + 39*t^9 + 49*t^11 + 59*t^13 + 69*t^15>
*]>,
<60,
[*
<(0 0 0), [ 1, 1, 1 ], 7*t^2 + 30*t^4 + 54*t^6 + 78*t^8 + 102*t^10 + 126*t^12 + 150*t^14 + 174*t^16>,
<(2 0 0), [ 2, 1, 1 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 2 0), [ 1, 2, 1 ], 18*t^3 + 42*t^5 + 66*t^7 + 90*t^9 + 114*t^11 + 138*t^13 + 162*t^15>,
<(2 2 0), [ 2, 2, 1 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 0 1), [ 1, 1, 4 ], 18*t^3 + 42*t^5 + 66*t^7 + 90*t^9 + 114*t^11 + 138*t^13 + 162*t^15>,
<(2 0 1), [ 2, 1, 4 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 2 1), [ 1, 2, 4 ], 6*t^2 + 30*t^4 + 54*t^6 + 78*t^8 + 102*t^10 + 126*t^12 + 150*t^14 + 174*t^16>,
<(2 2 1), [ 2, 2, 4 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 0 2), [ 1, 1, 2 ], 6*t^2 + 30*t^4 + 54*t^6 + 78*t^8 + 102*t^10 + 126*t^12 + 150*t^14 + 174*t^16>,
<(2 0 2), [ 2, 1, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 2 2), [ 1, 2, 2 ], 18*t^3 + 42*t^5 + 66*t^7 + 90*t^9 + 114*t^11 + 138*t^13 + 162*t^15>,
<(2 2 2), [ 2, 2, 2 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>
*]>,
<61,
[*
<(0), [ 1 ], 4*t^2 + 15*t^4 + 25*t^6 + 35*t^8 + 45*t^10 + 57*t^12 + 65*t^14 + 77*t^16>,
<(1), [ 60 ], 9*t^3 + 20*t^5 + 30*t^7 + 40*t^9 + 51*t^11 + 61*t^13 + 71*t^15>,
<(2), [ 30 ], 5*t^2 + 14*t^4 + 25*t^6 + 35*t^8 + 46*t^10 + 55*t^12 + 67*t^14 + 76*t^16>,
<(3), [ 20 ], 10*t^3 + 19*t^5 + 30*t^7 + 41*t^9 + 50*t^11 + 61*t^13 + 72*t^15>,
<(4), [ 15 ], 4*t^2 + 15*t^4 + 24*t^6 + 36*t^8 + 45*t^10 + 56*t^12 + 66*t^14 + 77*t^16>,
<(5), [ 12 ], 9*t^3 + 20*t^5 + 30*t^7 + 40*t^9 + 51*t^11 + 61*t^13 + 71*t^15>,
<(6), [ 10 ], 4*t^2 + 14*t^4 + 26*t^6 + 34*t^8 + 46*t^10 + 56*t^12 + 66*t^14 + 76*t^16>,
<(10), [ 6 ], 5*t^2 + 14*t^4 + 25*t^6 + 35*t^8 + 46*t^10 + 55*t^12 + 67*t^14 + 76*t^16>,
<(12), [ 5 ], 3*t^2 + 15*t^4 + 25*t^6 + 35*t^8 + 45*t^10 + 57*t^12 + 65*t^14 + 77*t^16>,
<(15), [ 4 ], 10*t^3 + 19*t^5 + 30*t^7 + 41*t^9 + 50*t^11 + 61*t^13 + 72*t^15>,
<(20), [ 3 ], 4*t^2 + 15*t^4 + 24*t^6 + 36*t^8 + 45*t^10 + 56*t^12 + 66*t^14 + 77*t^16>,
<(30), [ 2 ], 4*t^2 + 14*t^4 + 26*t^6 + 34*t^8 + 46*t^10 + 56*t^12 + 66*t^14 + 76*t^16>
*]>,
<62,
[*
<(0 0), [ 1, 1 ], 7*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(0 1), [ 1, 30 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
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<(0 3), [ 1, 10 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(0 5), [ 1, 6 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(0 6), [ 1, 5 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<( 0 10), [ 1, 3 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<( 0 15), [ 1, 2 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>
*]>,
<63,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>,
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<(3 2), [ 2, 3 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(4 2), [ 3, 3 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(5 2), [ 6, 3 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(0 3), [ 1, 2 ], 12*t^3 + 28*t^5 + 44*t^7 + 60*t^9 + 76*t^11 + 92*t^13 + 108*t^15>,
<(1 3), [ 6, 2 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
<(2 3), [ 3, 2 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(3 3), [ 2, 2 ], 4*t^2 + 20*t^4 + 36*t^6 + 52*t^8 + 68*t^10 + 84*t^12 + 100*t^14 + 116*t^16>
*]>,
<64,
[*
<(0 0), [ 1, 1 ], 3*t^2 + 18*t^4 + 34*t^6 + 50*t^8 + 66*t^10 + 82*t^12 + 98*t^14 + 114*t^16>,
<(8 0), [ 2, 1 ], 10*t^3 + 26*t^5 + 42*t^7 + 58*t^9 + 74*t^11 + 90*t^13 + 106*t^15>,
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<(0 8), [ 1, 2 ], 2*t^2 + 18*t^4 + 34*t^6 + 50*t^8 + 66*t^10 + 82*t^12 + 98*t^14 + 114*t^16>,
<(8 8), [ 2, 2 ], 10*t^3 + 26*t^5 + 42*t^7 + 58*t^9 + 74*t^11 + 90*t^13 + 106*t^15>
*]>,
<65,
[*
<(0 0), [ 1, 1 ], 5*t^2 + 20*t^4 + 32*t^6 + 48*t^8 + 60*t^10 + 76*t^12 + 88*t^14 + 104*t^16>,
<(3 0), [ 4, 1 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(6 0), [ 2, 1 ], 6*t^2 + 18*t^4 + 34*t^6 + 46*t^8 + 62*t^10 + 74*t^12 + 90*t^14 + 102*t^16>,
<(0 1), [ 1, 12 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
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<(9 1), [ 4, 12 ], 5*t^2 + 19*t^4 + 33*t^6 + 47*t^8 + 61*t^10 + 75*t^12 + 89*t^14 + 103*t^16>,
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<(6 2), [ 2, 6 ], 4*t^2 + 20*t^4 + 32*t^6 + 48*t^8 + 60*t^10 + 76*t^12 + 88*t^14 + 104*t^16>,
<(0 3), [ 1, 4 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(3 3), [ 4, 4 ], 5*t^2 + 19*t^4 + 33*t^6 + 47*t^8 + 61*t^10 + 75*t^12 + 89*t^14 + 103*t^16>,
<(6 3), [ 2, 4 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(9 3), [ 4, 4 ], 5*t^2 + 19*t^4 + 33*t^6 + 47*t^8 + 61*t^10 + 75*t^12 + 89*t^14 + 103*t^16>,
<(0 4), [ 1, 3 ], 4*t^2 + 20*t^4 + 32*t^6 + 48*t^8 + 60*t^10 + 76*t^12 + 88*t^14 + 104*t^16>,
<(3 4), [ 4, 3 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(6 4), [ 2, 3 ], 6*t^2 + 18*t^4 + 34*t^6 + 46*t^8 + 62*t^10 + 74*t^12 + 90*t^14 + 102*t^16>,
<(0 6), [ 1, 2 ], 6*t^2 + 18*t^4 + 34*t^6 + 46*t^8 + 62*t^10 + 74*t^12 + 90*t^14 + 102*t^16>,
<(3 6), [ 4, 2 ], 12*t^3 + 26*t^5 + 40*t^7 + 54*t^9 + 68*t^11 + 82*t^13 + 96*t^15>,
<(6 6), [ 2, 2 ], 4*t^2 + 20*t^4 + 32*t^6 + 48*t^8 + 60*t^10 + 76*t^12 + 88*t^14 + 104*t^16>
*]>,
<66,
[*
<(0 0 0), [ 1, 1, 1 ], 9*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 5 0), [ 1, 2, 1 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 0 1), [ 1, 1, 10 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
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<(0 0 2), [ 1, 1, 5 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 5 2), [ 1, 2, 5 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 0 5), [ 1, 1, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 5 5), [ 1, 2, 2 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>
*]>,
<67,
[*
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<(6), [ 11 ], 4*t^2 + 16*t^4 + 28*t^6 + 38*t^8 + 50*t^10 + 62*t^12 + 72*t^14 + 84*t^16>,
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<(22), [ 3 ], 5*t^2 + 16*t^4 + 27*t^6 + 39*t^8 + 50*t^10 + 61*t^12 + 73*t^14 + 84*t^16>,
<(33), [ 2 ], 11*t^3 + 21*t^5 + 33*t^7 + 45*t^9 + 55*t^11 + 67*t^13 + 79*t^15>
*]>,
<68,
[*
<(0 0), [ 1, 1 ], 7*t^2 + 24*t^4 + 42*t^6 + 60*t^8 + 78*t^10 + 96*t^12 + 114*t^14 + 132*t^16>,
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<(0 1), [ 1, 16 ], 15*t^3 + 33*t^5 + 51*t^7 + 69*t^9 + 87*t^11 + 105*t^13 + 123*t^15>,
<(8 1), [ 2, 16 ], 7*t^2 + 25*t^4 + 43*t^6 + 61*t^8 + 79*t^10 + 97*t^12 + 115*t^14 + 133*t^16>,
<(0 2), [ 1, 8 ], 6*t^2 + 24*t^4 + 42*t^6 + 60*t^8 + 78*t^10 + 96*t^12 + 114*t^14 + 132*t^16>,
<(8 2), [ 2, 8 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(0 4), [ 1, 4 ], 6*t^2 + 24*t^4 + 42*t^6 + 60*t^8 + 78*t^10 + 96*t^12 + 114*t^14 + 132*t^16>,
<(8 4), [ 2, 4 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(0 8), [ 1, 2 ], 6*t^2 + 24*t^4 + 42*t^6 + 60*t^8 + 78*t^10 + 96*t^12 + 114*t^14 + 132*t^16>,
<(8 8), [ 2, 2 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>
*]>,
<69,
[*
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<(11 0), [ 2, 1 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
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<( 0 11), [ 1, 2 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(11 11), [ 2, 2 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>
*]>,
<70,
[*
<(0 0 0), [ 1, 1, 1 ], 9*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
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<(0 0 2), [ 1, 1, 6 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 3 2), [ 1, 4, 6 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 6 2), [ 1, 2, 6 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 0 4), [ 1, 1, 3 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 3 4), [ 1, 4, 3 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 6 4), [ 1, 2, 3 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 0 6), [ 1, 1, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 3 6), [ 1, 4, 2 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 6 6), [ 1, 2, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>
*]>,
<71,
[*
<(0), [ 1 ], 6*t^2 + 17*t^4 + 29*t^6 + 41*t^8 + 53*t^10 + 65*t^12 + 77*t^14 + 89*t^16>,
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<(2), [ 35 ], 5*t^2 + 17*t^4 + 29*t^6 + 41*t^8 + 53*t^10 + 65*t^12 + 77*t^14 + 89*t^16>,
<(5), [ 14 ], 11*t^3 + 23*t^5 + 35*t^7 + 47*t^9 + 59*t^11 + 71*t^13 + 83*t^15>,
<(7), [ 10 ], 11*t^3 + 23*t^5 + 35*t^7 + 47*t^9 + 59*t^11 + 71*t^13 + 83*t^15>,
<(10), [ 7 ], 5*t^2 + 17*t^4 + 29*t^6 + 41*t^8 + 53*t^10 + 65*t^12 + 77*t^14 + 89*t^16>,
<(14), [ 5 ], 5*t^2 + 17*t^4 + 29*t^6 + 41*t^8 + 53*t^10 + 65*t^12 + 77*t^14 + 89*t^16>,
<(35), [ 2 ], 11*t^3 + 23*t^5 + 35*t^7 + 47*t^9 + 59*t^11 + 71*t^13 + 83*t^15>
*]>,
<72,
[*
<(0 0 0), [ 1, 1, 1 ], 5*t^2 + 28*t^4 + 52*t^6 + 76*t^8 + 100*t^10 + 124*t^12 + 148*t^14 + 172*t^16>,
<(3 0 0), [ 2, 1, 1 ], 16*t^3 + 40*t^5 + 64*t^7 + 88*t^9 + 112*t^11 + 136*t^13 + 160*t^15>,
<(0 3 0), [ 1, 2, 1 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(3 3 0), [ 2, 2, 1 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 0 1), [ 1, 1, 6 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(3 0 1), [ 2, 1, 6 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 3 1), [ 1, 2, 6 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(3 3 1), [ 2, 2, 6 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(0 0 2), [ 1, 1, 3 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(3 0 2), [ 2, 1, 3 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 3 2), [ 1, 2, 3 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(3 3 2), [ 2, 2, 3 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(0 0 3), [ 1, 1, 2 ], 16*t^3 + 40*t^5 + 64*t^7 + 88*t^9 + 112*t^11 + 136*t^13 + 160*t^15>,
<(3 0 3), [ 2, 1, 2 ], 4*t^2 + 28*t^4 + 52*t^6 + 76*t^8 + 100*t^10 + 124*t^12 + 148*t^14 + 172*t^16>,
<(0 3 3), [ 1, 2, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(3 3 3), [ 2, 2, 2 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>
*]>,
<73,
[*
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<(2), [ 36 ], 6*t^2 + 17*t^4 + 30*t^6 + 42*t^8 + 55*t^10 + 66*t^12 + 80*t^14 + 91*t^16>,
<(3), [ 24 ], 12*t^3 + 23*t^5 + 36*t^7 + 49*t^9 + 60*t^11 + 73*t^13 + 86*t^15>,
<(4), [ 18 ], 5*t^2 + 18*t^4 + 29*t^6 + 43*t^8 + 54*t^10 + 67*t^12 + 79*t^14 + 92*t^16>,
<(6), [ 12 ], 5*t^2 + 17*t^4 + 31*t^6 + 41*t^8 + 55*t^10 + 67*t^12 + 79*t^14 + 91*t^16>,
<(8), [ 9 ], 5*t^2 + 18*t^4 + 29*t^6 + 43*t^8 + 54*t^10 + 67*t^12 + 79*t^14 + 92*t^16>,
<(9), [ 8 ], 12*t^3 + 23*t^5 + 36*t^7 + 49*t^9 + 60*t^11 + 73*t^13 + 86*t^15>,
<(12), [ 6 ], 4*t^2 + 18*t^4 + 30*t^6 + 42*t^8 + 54*t^10 + 68*t^12 + 78*t^14 + 92*t^16>,
<(18), [ 4 ], 5*t^2 + 17*t^4 + 31*t^6 + 41*t^8 + 55*t^10 + 67*t^12 + 79*t^14 + 91*t^16>,
<(24), [ 3 ], 4*t^2 + 18*t^4 + 30*t^6 + 42*t^8 + 54*t^10 + 68*t^12 + 78*t^14 + 92*t^16>,
<(36), [ 2 ], 4*t^2 + 18*t^4 + 30*t^6 + 42*t^8 + 54*t^10 + 68*t^12 + 78*t^14 + 92*t^16>
*]>,
<74,
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<( 0 12), [ 1, 3 ], 7*t^2 + 27*t^4 + 45*t^6 + 65*t^8 + 83*t^10 + 103*t^12 + 121*t^14 + 141*t^16>,
<( 0 18), [ 1, 2 ], 8*t^2 + 26*t^4 + 46*t^6 + 64*t^8 + 84*t^10 + 102*t^12 + 122*t^14 + 140*t^16>
*]>,
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[*
<(0 0), [ 1, 1 ], 5*t^2 + 24*t^4 + 44*t^6 + 64*t^8 + 84*t^10 + 104*t^12 + 124*t^14 + 144*t^16>,
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<(10 5), [ 2, 4 ], 4*t^2 + 24*t^4 + 44*t^6 + 64*t^8 + 84*t^10 + 104*t^12 + 124*t^14 + 144*t^16>,
<( 0 10), [ 1, 2 ], 4*t^2 + 24*t^4 + 44*t^6 + 64*t^8 + 84*t^10 + 104*t^12 + 124*t^14 + 144*t^16>,
<(10 10), [ 2, 2 ], 14*t^3 + 34*t^5 + 54*t^7 + 74*t^9 + 94*t^11 + 114*t^13 + 134*t^15>
*]>,
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<(0 9), [ 1, 2 ], 17*t^3 + 37*t^5 + 57*t^7 + 77*t^9 + 97*t^11 + 117*t^13 + 137*t^15>,
<(9 9), [ 2, 2 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>
*]>,
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[*
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<(5 3), [ 6, 10 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>,
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<(10 15), [ 3, 2 ], 14*t^3 + 30*t^5 + 46*t^7 + 62*t^9 + 78*t^11 + 94*t^13 + 110*t^15>,
<(15 15), [ 2, 2 ], 6*t^2 + 22*t^4 + 38*t^6 + 54*t^8 + 70*t^10 + 86*t^12 + 102*t^14 + 118*t^16>
*]>,
<78,
[*
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<(0 0 4), [ 1, 1, 3 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
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<(0 0 6), [ 1, 1, 2 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(0 6 6), [ 1, 2, 2 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>
*]>,
<79,
[*
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<(39), [ 2 ], 13*t^3 + 25*t^5 + 39*t^7 + 53*t^9 + 65*t^11 + 79*t^13 + 93*t^15>
*]>,
<80,
[*
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<(2 2 2), [ 2, 2, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>
*]>,
<81,
[*
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<(27), [ 2 ], 12*t^3 + 30*t^5 + 48*t^7 + 66*t^9 + 84*t^11 + 102*t^13 + 120*t^15>
*]>,
<82,
[*
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<(0 2), [ 1, 20 ], 9*t^2 + 29*t^4 + 51*t^6 + 71*t^8 + 93*t^10 + 113*t^12 + 135*t^14 + 155*t^16>,
<(0 4), [ 1, 10 ], 8*t^2 + 30*t^4 + 50*t^6 + 72*t^8 + 92*t^10 + 114*t^12 + 134*t^14 + 156*t^16>,
<(0 5), [ 1, 8 ], 19*t^3 + 40*t^5 + 61*t^7 + 82*t^9 + 103*t^11 + 124*t^13 + 145*t^15>,
<(0 8), [ 1, 5 ], 8*t^2 + 30*t^4 + 50*t^6 + 72*t^8 + 92*t^10 + 114*t^12 + 134*t^14 + 156*t^16>,
<( 0 10), [ 1, 4 ], 9*t^2 + 29*t^4 + 51*t^6 + 71*t^8 + 93*t^10 + 113*t^12 + 135*t^14 + 155*t^16>,
<( 0 20), [ 1, 2 ], 8*t^2 + 30*t^4 + 50*t^6 + 72*t^8 + 92*t^10 + 114*t^12 + 134*t^14 + 156*t^16>
*]>,
<83,
[*
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<(41), [ 2 ], 13*t^3 + 27*t^5 + 41*t^7 + 55*t^9 + 69*t^11 + 83*t^13 + 97*t^15>
*]>,
<84,
[*
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<(3 3 0), [ 2, 2, 1 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 0 1), [ 1, 1, 6 ], 26*t^3 + 58*t^5 + 90*t^7 + 122*t^9 + 154*t^11 + 186*t^13 + 218*t^15>,
<(3 0 1), [ 2, 1, 6 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
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<(3 3 1), [ 2, 2, 6 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 0 2), [ 1, 1, 3 ], 10*t^2 + 42*t^4 + 74*t^6 + 106*t^8 + 138*t^10 + 170*t^12 + 202*t^14 + 234*t^16>,
<(3 0 2), [ 2, 1, 3 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 3 2), [ 1, 2, 3 ], 26*t^3 + 58*t^5 + 90*t^7 + 122*t^9 + 154*t^11 + 186*t^13 + 218*t^15>,
<(3 3 2), [ 2, 2, 3 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 0 3), [ 1, 1, 2 ], 26*t^3 + 58*t^5 + 90*t^7 + 122*t^9 + 154*t^11 + 186*t^13 + 218*t^15>,
<(3 0 3), [ 2, 1, 2 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 3 3), [ 1, 2, 2 ], 10*t^2 + 42*t^4 + 74*t^6 + 106*t^8 + 138*t^10 + 170*t^12 + 202*t^14 + 234*t^16>,
<(3 3 3), [ 2, 2, 2 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>
*]>,
<85,
[*
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<(8 0), [ 2, 1 ], 8*t^2 + 24*t^4 + 44*t^6 + 60*t^8 + 80*t^10 + 96*t^12 + 116*t^14 + 132*t^16>,
<(0 1), [ 1, 16 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(4 1), [ 4, 16 ], 7*t^2 + 25*t^4 + 43*t^6 + 61*t^8 + 79*t^10 + 97*t^12 + 115*t^14 + 133*t^16>,
<(8 1), [ 2, 16 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(12 1), [ 4, 16 ], 7*t^2 + 25*t^4 + 43*t^6 + 61*t^8 + 79*t^10 + 97*t^12 + 115*t^14 + 133*t^16>,
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<(4 2), [ 4, 8 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(8 2), [ 2, 8 ], 6*t^2 + 26*t^4 + 42*t^6 + 62*t^8 + 78*t^10 + 98*t^12 + 114*t^14 + 134*t^16>,
<(12 2), [ 4, 8 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(0 4), [ 1, 4 ], 6*t^2 + 26*t^4 + 42*t^6 + 62*t^8 + 78*t^10 + 98*t^12 + 114*t^14 + 134*t^16>,
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<(8 4), [ 2, 4 ], 8*t^2 + 24*t^4 + 44*t^6 + 60*t^8 + 80*t^10 + 96*t^12 + 116*t^14 + 132*t^16>,
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<(0 8), [ 1, 2 ], 6*t^2 + 26*t^4 + 42*t^6 + 62*t^8 + 78*t^10 + 98*t^12 + 114*t^14 + 134*t^16>,
<(4 8), [ 4, 2 ], 16*t^3 + 34*t^5 + 52*t^7 + 70*t^9 + 88*t^11 + 106*t^13 + 124*t^15>,
<(8 8), [ 2, 2 ], 8*t^2 + 24*t^4 + 44*t^6 + 60*t^8 + 80*t^10 + 96*t^12 + 116*t^14 + 132*t^16>
*]>,
<86,
[*
<(0 0), [ 1, 1 ], 10*t^2 + 31*t^4 + 53*t^6 + 75*t^8 + 97*t^10 + 119*t^12 + 141*t^14 + 163*t^16>,
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<(0 6), [ 1, 7 ], 9*t^2 + 31*t^4 + 53*t^6 + 75*t^8 + 97*t^10 + 119*t^12 + 141*t^14 + 163*t^16>,
<(0 7), [ 1, 6 ], 20*t^3 + 42*t^5 + 64*t^7 + 86*t^9 + 108*t^11 + 130*t^13 + 152*t^15>,
<( 0 14), [ 1, 3 ], 9*t^2 + 31*t^4 + 53*t^6 + 75*t^8 + 97*t^10 + 119*t^12 + 141*t^14 + 163*t^16>,
<( 0 21), [ 1, 2 ], 20*t^3 + 42*t^5 + 64*t^7 + 86*t^9 + 108*t^11 + 130*t^13 + 152*t^15>
*]>,
<87,
[*
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<( 0 14), [ 1, 2 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<(14 14), [ 2, 2 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>
*]>,
<88,
[*
<(0 0 0), [ 1, 1, 1 ], 9*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(5 0 0), [ 2, 1, 1 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 5 0), [ 1, 2, 1 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
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<(0 5 1), [ 1, 2, 10 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
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<(0 5 2), [ 1, 2, 5 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(5 5 2), [ 2, 2, 5 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(0 0 5), [ 1, 1, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
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<(0 5 5), [ 1, 2, 2 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(5 5 5), [ 2, 2, 2 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>
*]>,
<89,
[*
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<(11), [ 8 ], 14*t^3 + 29*t^5 + 44*t^7 + 59*t^9 + 74*t^11 + 89*t^13 + 104*t^15>,
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<(44), [ 2 ], 6*t^2 + 22*t^4 + 36*t^6 + 52*t^8 + 66*t^10 + 82*t^12 + 96*t^14 + 112*t^16>
*]>,
<90,
[*
<(0 0 0), [ 1, 1, 1 ], 11*t^2 + 46*t^4 + 82*t^6 + 118*t^8 + 154*t^10 + 190*t^12 + 226*t^14 + 262*t^16>,
<(0 2 0), [ 1, 6, 1 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<(0 4 0), [ 1, 3, 1 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 6 0), [ 1, 2, 1 ], 28*t^3 + 64*t^5 + 100*t^7 + 136*t^9 + 172*t^11 + 208*t^13 + 244*t^15>,
<(0 0 3), [ 1, 1, 4 ], 28*t^3 + 64*t^5 + 100*t^7 + 136*t^9 + 172*t^11 + 208*t^13 + 244*t^15>,
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<(0 0 6), [ 1, 1, 2 ], 10*t^2 + 46*t^4 + 82*t^6 + 118*t^8 + 154*t^10 + 190*t^12 + 226*t^14 + 262*t^16>,
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<(0 4 6), [ 1, 3, 2 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 6 6), [ 1, 2, 2 ], 28*t^3 + 64*t^5 + 100*t^7 + 136*t^9 + 172*t^11 + 208*t^13 + 244*t^15>
*]>,
<91,
[*
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<(8 4), [ 3, 3 ], 7*t^2 + 26*t^4 + 45*t^6 + 63*t^8 + 82*t^10 + 101*t^12 + 119*t^14 + 138*t^16>,
<(10 4), [ 6, 3 ], 17*t^3 + 35*t^5 + 54*t^7 + 73*t^9 + 91*t^11 + 110*t^13 + 129*t^15>,
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<(2 6), [ 6, 2 ], 16*t^3 + 36*t^5 + 54*t^7 + 72*t^9 + 92*t^11 + 110*t^13 + 128*t^15>,
<(4 6), [ 3, 2 ], 8*t^2 + 26*t^4 + 44*t^6 + 64*t^8 + 82*t^10 + 100*t^12 + 120*t^14 + 138*t^16>,
<(6 6), [ 2, 2 ], 18*t^3 + 34*t^5 + 54*t^7 + 74*t^9 + 90*t^11 + 110*t^13 + 130*t^15>
*]>,
<92,
[*
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<( 0 11), [ 1, 2 ], 21*t^3 + 45*t^5 + 69*t^7 + 93*t^9 + 117*t^11 + 141*t^13 + 165*t^15>,
<(11 11), [ 2, 2 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>
*]>,
<93,
[*
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<(15 1), [ 2, 30 ], 9*t^2 + 30*t^4 + 51*t^6 + 73*t^8 + 94*t^10 + 115*t^12 + 137*t^14 + 158*t^16>,
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<(0 3), [ 1, 10 ], 20*t^3 + 40*t^5 + 62*t^7 + 84*t^9 + 104*t^11 + 126*t^13 + 148*t^15>,
<(15 3), [ 2, 10 ], 8*t^2 + 30*t^4 + 52*t^6 + 72*t^8 + 94*t^10 + 116*t^12 + 136*t^14 + 158*t^16>,
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<(15 5), [ 2, 6 ], 9*t^2 + 30*t^4 + 51*t^6 + 73*t^8 + 94*t^10 + 115*t^12 + 137*t^14 + 158*t^16>,
<(0 6), [ 1, 5 ], 8*t^2 + 30*t^4 + 52*t^6 + 72*t^8 + 94*t^10 + 116*t^12 + 136*t^14 + 158*t^16>,
<(15 6), [ 2, 5 ], 20*t^3 + 40*t^5 + 62*t^7 + 84*t^9 + 104*t^11 + 126*t^13 + 148*t^15>,
<( 0 10), [ 1, 3 ], 9*t^2 + 30*t^4 + 51*t^6 + 73*t^8 + 94*t^10 + 115*t^12 + 137*t^14 + 158*t^16>,
<(15 10), [ 2, 3 ], 19*t^3 + 41*t^5 + 62*t^7 + 83*t^9 + 105*t^11 + 126*t^13 + 147*t^15>,
<( 0 15), [ 1, 2 ], 20*t^3 + 40*t^5 + 62*t^7 + 84*t^9 + 104*t^11 + 126*t^13 + 148*t^15>,
<(15 15), [ 2, 2 ], 8*t^2 + 30*t^4 + 52*t^6 + 72*t^8 + 94*t^10 + 116*t^12 + 136*t^14 + 158*t^16>
*]>,
<94,
[*
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<(0 2), [ 1, 23 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<( 0 23), [ 1, 2 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>
*]>,
<95,
[*
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<(18 0), [ 2, 1 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
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<(9 2), [ 4, 18 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<(18 2), [ 2, 18 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>,
<(0 4), [ 1, 9 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<(9 4), [ 4, 9 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>,
<(18 4), [ 2, 9 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<(0 6), [ 1, 6 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>,
<(9 6), [ 4, 6 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<(18 6), [ 2, 6 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>,
<( 0 12), [ 1, 3 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<( 9 12), [ 4, 3 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>,
<(18 12), [ 2, 3 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<( 0 18), [ 1, 2 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>,
<( 9 18), [ 4, 2 ], 8*t^2 + 28*t^4 + 48*t^6 + 68*t^8 + 88*t^10 + 108*t^12 + 128*t^14 + 148*t^16>,
<(18 18), [ 2, 2 ], 18*t^3 + 38*t^5 + 58*t^7 + 78*t^9 + 98*t^11 + 118*t^13 + 138*t^15>
*]>,
<96,
[*
<(0 0 0), [ 1, 1, 1 ], 9*t^2 + 40*t^4 + 72*t^6 + 104*t^8 + 136*t^10 + 168*t^12 + 200*t^14 + 232*t^16>,
<(4 0 0), [ 2, 1, 1 ], 24*t^3 + 56*t^5 + 88*t^7 + 120*t^9 + 152*t^11 + 184*t^13 + 216*t^15>,
<(0 1 0), [ 1, 8, 1 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(4 1 0), [ 2, 8, 1 ], 30*t^3 + 62*t^5 + 94*t^7 + 126*t^9 + 158*t^11 + 190*t^13 + 222*t^15>,
<(0 2 0), [ 1, 4, 1 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(4 2 0), [ 2, 4, 1 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 4 0), [ 1, 2, 1 ], 8*t^2 + 40*t^4 + 72*t^6 + 104*t^8 + 136*t^10 + 168*t^12 + 200*t^14 + 232*t^16>,
<(4 4 0), [ 2, 2, 1 ], 24*t^3 + 56*t^5 + 88*t^7 + 120*t^9 + 152*t^11 + 184*t^13 + 216*t^15>,
<(0 0 4), [ 1, 1, 2 ], 24*t^3 + 56*t^5 + 88*t^7 + 120*t^9 + 152*t^11 + 184*t^13 + 216*t^15>,
<(4 0 4), [ 2, 1, 2 ], 8*t^2 + 40*t^4 + 72*t^6 + 104*t^8 + 136*t^10 + 168*t^12 + 200*t^14 + 232*t^16>,
<(0 1 4), [ 1, 8, 2 ], 30*t^3 + 62*t^5 + 94*t^7 + 126*t^9 + 158*t^11 + 190*t^13 + 222*t^15>,
<(4 1 4), [ 2, 8, 2 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(0 2 4), [ 1, 4, 2 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(4 2 4), [ 2, 4, 2 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 4 4), [ 1, 2, 2 ], 24*t^3 + 56*t^5 + 88*t^7 + 120*t^9 + 152*t^11 + 184*t^13 + 216*t^15>,
<(4 4 4), [ 2, 2, 2 ], 8*t^2 + 40*t^4 + 72*t^6 + 104*t^8 + 136*t^10 + 168*t^12 + 200*t^14 + 232*t^16>
*]>,
<97,
[*
<(0), [ 1 ], 7*t^2 + 24*t^4 + 40*t^6 + 56*t^8 + 72*t^10 + 90*t^12 + 104*t^14 + 122*t^16>,
<(1), [ 96 ], 15*t^3 + 32*t^5 + 48*t^7 + 64*t^9 + 81*t^11 + 97*t^13 + 113*t^15>,
<(2), [ 48 ], 8*t^2 + 23*t^4 + 40*t^6 + 56*t^8 + 73*t^10 + 88*t^12 + 106*t^14 + 121*t^16>,
<(3), [ 32 ], 16*t^3 + 31*t^5 + 48*t^7 + 65*t^9 + 80*t^11 + 97*t^13 + 114*t^15>,
<(4), [ 24 ], 7*t^2 + 24*t^4 + 39*t^6 + 57*t^8 + 72*t^10 + 89*t^12 + 105*t^14 + 122*t^16>,
<(6), [ 16 ], 7*t^2 + 23*t^4 + 41*t^6 + 55*t^8 + 73*t^10 + 89*t^12 + 105*t^14 + 121*t^16>,
<(8), [ 12 ], 7*t^2 + 24*t^4 + 39*t^6 + 57*t^8 + 72*t^10 + 89*t^12 + 105*t^14 + 122*t^16>,
<(12), [ 8 ], 6*t^2 + 24*t^4 + 40*t^6 + 56*t^8 + 72*t^10 + 90*t^12 + 104*t^14 + 122*t^16>,
<(16), [ 6 ], 7*t^2 + 24*t^4 + 39*t^6 + 57*t^8 + 72*t^10 + 89*t^12 + 105*t^14 + 122*t^16>,
<(24), [ 4 ], 6*t^2 + 24*t^4 + 40*t^6 + 56*t^8 + 72*t^10 + 90*t^12 + 104*t^14 + 122*t^16>,
<(32), [ 3 ], 7*t^2 + 24*t^4 + 39*t^6 + 57*t^8 + 72*t^10 + 89*t^12 + 105*t^14 + 122*t^16>,
<(48), [ 2 ], 6*t^2 + 24*t^4 + 40*t^6 + 56*t^8 + 72*t^10 + 90*t^12 + 104*t^14 + 122*t^16>
*]>,
<98,
[*
<(0 0), [ 1, 1 ], 7*t^2 + 34*t^4 + 62*t^6 + 90*t^8 + 118*t^10 + 146*t^12 + 174*t^14 + 202*t^16>,
<(0 1), [ 1, 42 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(0 2), [ 1, 21 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(0 3), [ 1, 14 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(0 6), [ 1, 7 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(0 7), [ 1, 6 ], 20*t^3 + 48*t^5 + 76*t^7 + 104*t^9 + 132*t^11 + 160*t^13 + 188*t^15>,
<( 0 14), [ 1, 3 ], 6*t^2 + 34*t^4 + 62*t^6 + 90*t^8 + 118*t^10 + 146*t^12 + 174*t^14 + 202*t^16>,
<( 0 21), [ 1, 2 ], 20*t^3 + 48*t^5 + 76*t^7 + 104*t^9 + 132*t^11 + 160*t^13 + 188*t^15>
*]>,
<99,
[*
<(0 0), [ 1, 1 ], 9*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(5 0), [ 6, 1 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(10 0), [ 3, 1 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(15 0), [ 2, 1 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(0 3), [ 1, 10 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<(5 3), [ 6, 10 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(10 3), [ 3, 10 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(15 3), [ 2, 10 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(0 6), [ 1, 5 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>,
<(5 6), [ 6, 5 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(10 6), [ 3, 5 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(15 6), [ 2, 5 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<( 0 15), [ 1, 2 ], 20*t^3 + 44*t^5 + 68*t^7 + 92*t^9 + 116*t^11 + 140*t^13 + 164*t^15>,
<( 5 15), [ 6, 2 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(10 15), [ 3, 2 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(15 15), [ 2, 2 ], 8*t^2 + 32*t^4 + 56*t^6 + 80*t^8 + 104*t^10 + 128*t^12 + 152*t^14 + 176*t^16>
*]>,
<100,
[*
<(0 0), [ 1, 1 ], 7*t^2 + 36*t^4 + 66*t^6 + 96*t^8 + 126*t^10 + 156*t^12 + 186*t^14 + 216*t^16>,
<(10 0), [ 2, 1 ], 24*t^3 + 54*t^5 + 84*t^7 + 114*t^9 + 144*t^11 + 174*t^13 + 204*t^15>,
<(0 1), [ 1, 20 ], 27*t^3 + 57*t^5 + 87*t^7 + 117*t^9 + 147*t^11 + 177*t^13 + 207*t^15>,
<(10 1), [ 2, 20 ], 13*t^2 + 43*t^4 + 73*t^6 + 103*t^8 + 133*t^10 + 163*t^12 + 193*t^14 + 223*t^16>,
<(0 2), [ 1, 10 ], 12*t^2 + 42*t^4 + 72*t^6 + 102*t^8 + 132*t^10 + 162*t^12 + 192*t^14 + 222*t^16>,
<(10 2), [ 2, 10 ], 28*t^3 + 58*t^5 + 88*t^7 + 118*t^9 + 148*t^11 + 178*t^13 + 208*t^15>,
<(0 4), [ 1, 5 ], 12*t^2 + 42*t^4 + 72*t^6 + 102*t^8 + 132*t^10 + 162*t^12 + 192*t^14 + 222*t^16>,
<(10 4), [ 2, 5 ], 28*t^3 + 58*t^5 + 88*t^7 + 118*t^9 + 148*t^11 + 178*t^13 + 208*t^15>,
<(0 5), [ 1, 4 ], 21*t^3 + 51*t^5 + 81*t^7 + 111*t^9 + 141*t^11 + 171*t^13 + 201*t^15>,
<(10 5), [ 2, 4 ], 9*t^2 + 39*t^4 + 69*t^6 + 99*t^8 + 129*t^10 + 159*t^12 + 189*t^14 + 219*t^16>,
<( 0 10), [ 1, 2 ], 6*t^2 + 36*t^4 + 66*t^6 + 96*t^8 + 126*t^10 + 156*t^12 + 186*t^14 + 216*t^16>,
<(10 10), [ 2, 2 ], 24*t^3 + 54*t^5 + 84*t^7 + 114*t^9 + 144*t^11 + 174*t^13 + 204*t^15>
*]>,
<101,
[*
<(0), [ 1 ], 8*t^2 + 25*t^4 + 41*t^6 + 59*t^8 + 75*t^10 + 93*t^12 + 109*t^14 + 127*t^16>,
<(1), [ 100 ], 16*t^3 + 33*t^5 + 50*t^7 + 67*t^9 + 84*t^11 + 101*t^13 + 118*t^15>,
<(2), [ 50 ], 8*t^2 + 24*t^4 + 42*t^6 + 58*t^8 + 76*t^10 + 92*t^12 + 110*t^14 + 126*t^16>,
<(4), [ 25 ], 7*t^2 + 25*t^4 + 41*t^6 + 59*t^8 + 75*t^10 + 93*t^12 + 109*t^14 + 127*t^16>,
<(5), [ 20 ], 16*t^3 + 33*t^5 + 50*t^7 + 67*t^9 + 84*t^11 + 101*t^13 + 118*t^15>,
<(10), [ 10 ], 8*t^2 + 24*t^4 + 42*t^6 + 58*t^8 + 76*t^10 + 92*t^12 + 110*t^14 + 126*t^16>,
<(20), [ 5 ], 7*t^2 + 25*t^4 + 41*t^6 + 59*t^8 + 75*t^10 + 93*t^12 + 109*t^14 + 127*t^16>,
<(25), [ 4 ], 16*t^3 + 33*t^5 + 50*t^7 + 67*t^9 + 84*t^11 + 101*t^13 + 118*t^15>,
<(50), [ 2 ], 8*t^2 + 24*t^4 + 42*t^6 + 58*t^8 + 76*t^10 + 92*t^12 + 110*t^14 + 126*t^16>
*]>,
<102,
[*
<(0 0 0), [ 1, 1, 1 ], 15*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 8 0), [ 1, 2, 1 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<(0 0 1), [ 1, 1, 16 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<(0 8 1), [ 1, 2, 16 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 0 2), [ 1, 1, 8 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 8 2), [ 1, 2, 8 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<(0 0 4), [ 1, 1, 4 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 8 4), [ 1, 2, 4 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<(0 0 8), [ 1, 1, 2 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 8 8), [ 1, 2, 2 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>
*]>,
<103,
[*
<(0), [ 1 ], 8*t^2 + 25*t^4 + 43*t^6 + 59*t^8 + 77*t^10 + 95*t^12 + 111*t^14 + 129*t^16>,
<(1), [ 102 ], 16*t^3 + 34*t^5 + 51*t^7 + 68*t^9 + 86*t^11 + 103*t^13 + 120*t^15>,
<(2), [ 51 ], 8*t^2 + 25*t^4 + 42*t^6 + 60*t^8 + 77*t^10 + 94*t^12 + 112*t^14 + 129*t^16>,
<(3), [ 34 ], 17*t^3 + 33*t^5 + 51*t^7 + 69*t^9 + 85*t^11 + 103*t^13 + 121*t^15>,
<(6), [ 17 ], 7*t^2 + 25*t^4 + 43*t^6 + 59*t^8 + 77*t^10 + 95*t^12 + 111*t^14 + 129*t^16>,
<(17), [ 6 ], 16*t^3 + 34*t^5 + 51*t^7 + 68*t^9 + 86*t^11 + 103*t^13 + 120*t^15>,
<(34), [ 3 ], 8*t^2 + 25*t^4 + 42*t^6 + 60*t^8 + 77*t^10 + 94*t^12 + 112*t^14 + 129*t^16>,
<(51), [ 2 ], 17*t^3 + 33*t^5 + 51*t^7 + 69*t^9 + 85*t^11 + 103*t^13 + 121*t^15>
*]>,
<104,
[*
<(0 0 0), [ 1, 1, 1 ], 11*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(6 0 0), [ 2, 1, 1 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(0 6 0), [ 1, 2, 1 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 6 0), [ 2, 2, 1 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(0 0 1), [ 1, 1, 12 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(6 0 1), [ 2, 1, 12 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(0 6 1), [ 1, 2, 12 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(6 6 1), [ 2, 2, 12 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(0 0 2), [ 1, 1, 6 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(6 0 2), [ 2, 1, 6 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(0 6 2), [ 1, 2, 6 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 6 2), [ 2, 2, 6 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(0 0 3), [ 1, 1, 4 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(6 0 3), [ 2, 1, 4 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(0 6 3), [ 1, 2, 4 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(6 6 3), [ 2, 2, 4 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(0 0 4), [ 1, 1, 3 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(6 0 4), [ 2, 1, 3 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(0 6 4), [ 1, 2, 3 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 6 4), [ 2, 2, 3 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(0 0 6), [ 1, 1, 2 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(6 0 6), [ 2, 1, 2 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(0 6 6), [ 1, 2, 2 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 6 6), [ 2, 2, 2 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>
*]>,
<105,
[*
<(0 0 0), [ 1, 1, 1 ], 13*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 0 0), [ 2, 1, 1 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 3 0), [ 1, 4, 1 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 3 0), [ 2, 4, 1 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 6 0), [ 1, 2, 1 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 6 0), [ 2, 2, 1 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 0 2), [ 1, 1, 6 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 0 2), [ 2, 1, 6 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 3 2), [ 1, 4, 6 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 3 2), [ 2, 4, 6 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 6 2), [ 1, 2, 6 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 6 2), [ 2, 2, 6 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 0 4), [ 1, 1, 3 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 0 4), [ 2, 1, 3 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 3 4), [ 1, 4, 3 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 3 4), [ 2, 4, 3 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 6 4), [ 1, 2, 3 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 6 4), [ 2, 2, 3 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 0 6), [ 1, 1, 2 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 0 6), [ 2, 1, 2 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 3 6), [ 1, 4, 2 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 3 6), [ 2, 4, 2 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 6 6), [ 1, 2, 2 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 6 6), [ 2, 2, 2 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>
*]>,
<106,
[*
<(0 0), [ 1, 1 ], 12*t^2 + 39*t^4 + 65*t^6 + 93*t^8 + 119*t^10 + 147*t^12 + 173*t^14 + 201*t^16>,
<(0 1), [ 1, 52 ], 25*t^3 + 52*t^5 + 79*t^7 + 106*t^9 + 133*t^11 + 160*t^13 + 187*t^15>,
<(0 2), [ 1, 26 ], 12*t^2 + 38*t^4 + 66*t^6 + 92*t^8 + 120*t^10 + 146*t^12 + 174*t^14 + 200*t^16>,
<(0 4), [ 1, 13 ], 11*t^2 + 39*t^4 + 65*t^6 + 93*t^8 + 119*t^10 + 147*t^12 + 173*t^14 + 201*t^16>,
<( 0 13), [ 1, 4 ], 25*t^3 + 52*t^5 + 79*t^7 + 106*t^9 + 133*t^11 + 160*t^13 + 187*t^15>,
<( 0 26), [ 1, 2 ], 12*t^2 + 38*t^4 + 66*t^6 + 92*t^8 + 120*t^10 + 146*t^12 + 174*t^14 + 200*t^16>
*]>,
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[*
<(0), [ 1 ], 9*t^2 + 26*t^4 + 44*t^6 + 62*t^8 + 80*t^10 + 98*t^12 + 116*t^14 + 134*t^16>,
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<(53), [ 2 ], 17*t^3 + 35*t^5 + 53*t^7 + 71*t^9 + 89*t^11 + 107*t^13 + 125*t^15>
*]>,
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[*
<(0 0), [ 1, 1 ], 10*t^2 + 45*t^4 + 81*t^6 + 117*t^8 + 153*t^10 + 189*t^12 + 225*t^14 + 261*t^16>,
<(9 0), [ 2, 1 ], 30*t^3 + 66*t^5 + 102*t^7 + 138*t^9 + 174*t^11 + 210*t^13 + 246*t^15>,
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<(0 2), [ 1, 9 ], 15*t^2 + 51*t^4 + 87*t^6 + 123*t^8 + 159*t^10 + 195*t^12 + 231*t^14 + 267*t^16>,
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<(9 3), [ 2, 6 ], 12*t^2 + 48*t^4 + 84*t^6 + 120*t^8 + 156*t^10 + 192*t^12 + 228*t^14 + 264*t^16>,
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<(0 9), [ 1, 2 ], 27*t^3 + 63*t^5 + 99*t^7 + 135*t^9 + 171*t^11 + 207*t^13 + 243*t^15>,
<(9 9), [ 2, 2 ], 12*t^2 + 48*t^4 + 84*t^6 + 120*t^8 + 156*t^10 + 192*t^12 + 228*t^14 + 264*t^16>
*]>,
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<(9), [ 12 ], 18*t^3 + 35*t^5 + 54*t^7 + 73*t^9 + 90*t^11 + 109*t^13 + 128*t^15>,
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<(27), [ 4 ], 18*t^3 + 35*t^5 + 54*t^7 + 73*t^9 + 90*t^11 + 109*t^13 + 128*t^15>,
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<(54), [ 2 ], 8*t^2 + 26*t^4 + 46*t^6 + 62*t^8 + 82*t^10 + 100*t^12 + 118*t^14 + 136*t^16>
*]>,
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[*
<(0 0 0), [ 1, 1, 1 ], 15*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 5 0), [ 1, 4, 1 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<( 0 10 0), [ 1, 2, 1 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 0 2), [ 1, 1, 10 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<(0 5 2), [ 1, 4, 10 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
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<(0 0 4), [ 1, 1, 5 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<(0 5 4), [ 1, 4, 5 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<( 0 10 4), [ 1, 2, 5 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<( 0 0 10), [ 1, 1, 2 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>,
<( 0 5 10), [ 1, 4, 2 ], 14*t^2 + 50*t^4 + 86*t^6 + 122*t^8 + 158*t^10 + 194*t^12 + 230*t^14 + 266*t^16>,
<( 0 10 10), [ 1, 2, 2 ], 32*t^3 + 68*t^5 + 104*t^7 + 140*t^9 + 176*t^11 + 212*t^13 + 248*t^15>
*]>,
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[*
<(0 0), [ 1, 1 ], 11*t^2 + 36*t^4 + 62*t^6 + 86*t^8 + 112*t^10 + 138*t^12 + 162*t^14 + 188*t^16>,
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<(0 3), [ 1, 12 ], 24*t^3 + 48*t^5 + 74*t^7 + 100*t^9 + 124*t^11 + 150*t^13 + 176*t^15>,
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<(0 6), [ 1, 6 ], 10*t^2 + 36*t^4 + 62*t^6 + 86*t^8 + 112*t^10 + 138*t^12 + 162*t^14 + 188*t^16>,
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<( 0 12), [ 1, 3 ], 10*t^2 + 36*t^4 + 62*t^6 + 86*t^8 + 112*t^10 + 138*t^12 + 162*t^14 + 188*t^16>,
<(18 12), [ 2, 3 ], 24*t^3 + 48*t^5 + 74*t^7 + 100*t^9 + 124*t^11 + 150*t^13 + 176*t^15>,
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<(18 18), [ 2, 2 ], 24*t^3 + 48*t^5 + 74*t^7 + 100*t^9 + 124*t^11 + 150*t^13 + 176*t^15>
*]>,
<112,
[*
<(0 0 0), [ 1, 1, 1 ], 11*t^2 + 42*t^4 + 74*t^6 + 106*t^8 + 138*t^10 + 170*t^12 + 202*t^14 + 234*t^16>,
<(6 0 0), [ 2, 1, 1 ], 26*t^3 + 58*t^5 + 90*t^7 + 122*t^9 + 154*t^11 + 186*t^13 + 218*t^15>,
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<(6 6 0), [ 2, 2, 1 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
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<(6 3 2), [ 2, 4, 6 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(0 6 2), [ 1, 2, 6 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 6 2), [ 2, 2, 6 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(0 0 4), [ 1, 1, 3 ], 10*t^2 + 42*t^4 + 74*t^6 + 106*t^8 + 138*t^10 + 170*t^12 + 202*t^14 + 234*t^16>,
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<(0 3 4), [ 1, 4, 3 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(6 3 4), [ 2, 4, 3 ], 30*t^3 + 62*t^5 + 94*t^7 + 126*t^9 + 158*t^11 + 190*t^13 + 222*t^15>,
<(0 6 4), [ 1, 2, 3 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>,
<(6 6 4), [ 2, 2, 3 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(0 0 6), [ 1, 1, 2 ], 26*t^3 + 58*t^5 + 90*t^7 + 122*t^9 + 154*t^11 + 186*t^13 + 218*t^15>,
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<(0 3 6), [ 1, 4, 2 ], 30*t^3 + 62*t^5 + 94*t^7 + 126*t^9 + 158*t^11 + 190*t^13 + 222*t^15>,
<(6 3 6), [ 2, 4, 2 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(0 6 6), [ 1, 2, 2 ], 28*t^3 + 60*t^5 + 92*t^7 + 124*t^9 + 156*t^11 + 188*t^13 + 220*t^15>,
<(6 6 6), [ 2, 2, 2 ], 12*t^2 + 44*t^4 + 76*t^6 + 108*t^8 + 140*t^10 + 172*t^12 + 204*t^14 + 236*t^16>
*]>,
<113,
[*
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<(56), [ 2 ], 8*t^2 + 28*t^4 + 46*t^6 + 66*t^8 + 84*t^10 + 104*t^12 + 122*t^14 + 142*t^16>
*]>,
<114,
[*
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<(0 0 2), [ 1, 1, 9 ], 16*t^2 + 56*t^4 + 96*t^6 + 136*t^8 + 176*t^10 + 216*t^12 + 256*t^14 + 296*t^16>,
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<(0 0 3), [ 1, 1, 6 ], 36*t^3 + 76*t^5 + 116*t^7 + 156*t^9 + 196*t^11 + 236*t^13 + 276*t^15>,
<(0 9 3), [ 1, 2, 6 ], 16*t^2 + 56*t^4 + 96*t^6 + 136*t^8 + 176*t^10 + 216*t^12 + 256*t^14 + 296*t^16>,
<(0 0 6), [ 1, 1, 3 ], 16*t^2 + 56*t^4 + 96*t^6 + 136*t^8 + 176*t^10 + 216*t^12 + 256*t^14 + 296*t^16>,
<(0 9 6), [ 1, 2, 3 ], 36*t^3 + 76*t^5 + 116*t^7 + 156*t^9 + 196*t^11 + 236*t^13 + 276*t^15>,
<(0 0 9), [ 1, 1, 2 ], 36*t^3 + 76*t^5 + 116*t^7 + 156*t^9 + 196*t^11 + 236*t^13 + 276*t^15>,
<(0 9 9), [ 1, 2, 2 ], 16*t^2 + 56*t^4 + 96*t^6 + 136*t^8 + 176*t^10 + 216*t^12 + 256*t^14 + 296*t^16>
*]>,
<115,
[*
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<(22 0), [ 2, 1 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
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<(22 4), [ 2, 11 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<( 0 22), [ 1, 2 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(11 22), [ 4, 2 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(22 22), [ 2, 2 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>
*]>,
<116,
[*
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<(0 2), [ 1, 14 ], 12*t^2 + 42*t^4 + 72*t^6 + 102*t^8 + 132*t^10 + 162*t^12 + 192*t^14 + 222*t^16>,
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<(0 4), [ 1, 7 ], 12*t^2 + 42*t^4 + 72*t^6 + 102*t^8 + 132*t^10 + 162*t^12 + 192*t^14 + 222*t^16>,
<(14 4), [ 2, 7 ], 28*t^3 + 58*t^5 + 88*t^7 + 118*t^9 + 148*t^11 + 178*t^13 + 208*t^15>,
<(0 7), [ 1, 4 ], 27*t^3 + 57*t^5 + 87*t^7 + 117*t^9 + 147*t^11 + 177*t^13 + 207*t^15>,
<(14 7), [ 2, 4 ], 13*t^2 + 43*t^4 + 73*t^6 + 103*t^8 + 133*t^10 + 163*t^12 + 193*t^14 + 223*t^16>,
<( 0 14), [ 1, 2 ], 12*t^2 + 42*t^4 + 72*t^6 + 102*t^8 + 132*t^10 + 162*t^12 + 192*t^14 + 222*t^16>,
<(14 14), [ 2, 2 ], 28*t^3 + 58*t^5 + 88*t^7 + 118*t^9 + 148*t^11 + 178*t^13 + 208*t^15>
*]>,
<117,
[*
<(0 0), [ 1, 1 ], 11*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(2 0), [ 6, 1 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(4 0), [ 3, 1 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 0), [ 2, 1 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(0 1), [ 1, 12 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(2 1), [ 6, 12 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
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<(6 1), [ 2, 12 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(8 1), [ 3, 12 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(10 1), [ 6, 12 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
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<(4 2), [ 3, 6 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 2), [ 2, 6 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(8 2), [ 3, 6 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
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<(6 3), [ 2, 4 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
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<(6 4), [ 2, 3 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>,
<(8 4), [ 3, 3 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(10 4), [ 6, 3 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(0 6), [ 1, 2 ], 10*t^2 + 38*t^4 + 66*t^6 + 94*t^8 + 122*t^10 + 150*t^12 + 178*t^14 + 206*t^16>,
<(2 6), [ 6, 2 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(4 6), [ 3, 2 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(6 6), [ 2, 2 ], 24*t^3 + 52*t^5 + 80*t^7 + 108*t^9 + 136*t^11 + 164*t^13 + 192*t^15>
*]>,
<118,
[*
<(0 0), [ 1, 1 ], 14*t^2 + 43*t^4 + 73*t^6 + 103*t^8 + 133*t^10 + 163*t^12 + 193*t^14 + 223*t^16>,
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<(0 2), [ 1, 29 ], 13*t^2 + 43*t^4 + 73*t^6 + 103*t^8 + 133*t^10 + 163*t^12 + 193*t^14 + 223*t^16>,
<( 0 29), [ 1, 2 ], 28*t^3 + 58*t^5 + 88*t^7 + 118*t^9 + 148*t^11 + 178*t^13 + 208*t^15>
*]>,
<119,
[*
<(0 0), [ 1, 1 ], 11*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
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<(24 3), [ 2, 16 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
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<(8 6), [ 6, 8 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
<(16 6), [ 3, 8 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(24 6), [ 2, 8 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
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<( 8 12), [ 6, 4 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
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<(24 12), [ 2, 4 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>,
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<(16 24), [ 3, 2 ], 10*t^2 + 34*t^4 + 58*t^6 + 82*t^8 + 106*t^10 + 130*t^12 + 154*t^14 + 178*t^16>,
<(24 24), [ 2, 2 ], 22*t^3 + 46*t^5 + 70*t^7 + 94*t^9 + 118*t^11 + 142*t^13 + 166*t^15>
*]>,
<120,
[*
<(0 0 0 0), [ 1, 1, 1, 1 ], 17*t^2 + 64*t^4 + 112*t^6 + 160*t^8 + 208*t^10 + 256*t^12 + 304*t^14 + 352*t^16>,
<(2 0 0 0), [ 2, 1, 1, 1 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
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<(0 2 0 1), [ 1, 2, 1, 4 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(2 2 0 1), [ 2, 2, 1, 4 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
<(0 0 2 1), [ 1, 1, 2, 4 ], 16*t^2 + 64*t^4 + 112*t^6 + 160*t^8 + 208*t^10 + 256*t^12 + 304*t^14 + 352*t^16>,
<(2 0 2 1), [ 2, 1, 2, 4 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
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<(2 2 2 1), [ 2, 2, 2, 4 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(0 0 0 2), [ 1, 1, 1, 2 ], 16*t^2 + 64*t^4 + 112*t^6 + 160*t^8 + 208*t^10 + 256*t^12 + 304*t^14 + 352*t^16>,
<(2 0 0 2), [ 2, 1, 1, 2 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
<(0 2 0 2), [ 1, 2, 1, 2 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
<(2 2 0 2), [ 2, 2, 1, 2 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(0 0 2 2), [ 1, 1, 2, 2 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
<(2 0 2 2), [ 2, 1, 2, 2 ], 16*t^2 + 64*t^4 + 112*t^6 + 160*t^8 + 208*t^10 + 256*t^12 + 304*t^14 + 352*t^16>,
<(0 2 2 2), [ 1, 2, 2, 2 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(2 2 2 2), [ 2, 2, 2, 2 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>
*]>,
<121,
[*
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<(11), [ 10 ], 16*t^3 + 38*t^5 + 60*t^7 + 82*t^9 + 104*t^11 + 126*t^13 + 148*t^15>,
<(22), [ 5 ], 5*t^2 + 27*t^4 + 49*t^6 + 71*t^8 + 93*t^10 + 115*t^12 + 137*t^14 + 159*t^16>,
<(55), [ 2 ], 16*t^3 + 38*t^5 + 60*t^7 + 82*t^9 + 104*t^11 + 126*t^13 + 148*t^15>
*]>,
<122,
[*
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<(0 4), [ 1, 15 ], 13*t^2 + 45*t^4 + 75*t^6 + 107*t^8 + 137*t^10 + 169*t^12 + 199*t^14 + 231*t^16>,
<(0 5), [ 1, 12 ], 29*t^3 + 60*t^5 + 91*t^7 + 122*t^9 + 153*t^11 + 184*t^13 + 215*t^15>,
<(0 6), [ 1, 10 ], 14*t^2 + 44*t^4 + 76*t^6 + 106*t^8 + 138*t^10 + 168*t^12 + 200*t^14 + 230*t^16>,
<( 0 10), [ 1, 6 ], 14*t^2 + 44*t^4 + 76*t^6 + 106*t^8 + 138*t^10 + 168*t^12 + 200*t^14 + 230*t^16>,
<( 0 12), [ 1, 5 ], 13*t^2 + 45*t^4 + 75*t^6 + 107*t^8 + 137*t^10 + 169*t^12 + 199*t^14 + 231*t^16>,
<( 0 15), [ 1, 4 ], 29*t^3 + 60*t^5 + 91*t^7 + 122*t^9 + 153*t^11 + 184*t^13 + 215*t^15>,
<( 0 20), [ 1, 3 ], 13*t^2 + 45*t^4 + 75*t^6 + 107*t^8 + 137*t^10 + 169*t^12 + 199*t^14 + 231*t^16>,
<( 0 30), [ 1, 2 ], 14*t^2 + 44*t^4 + 76*t^6 + 106*t^8 + 138*t^10 + 168*t^12 + 200*t^14 + 230*t^16>
*]>,
<123,
[*
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<(0 5), [ 1, 8 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<(20 5), [ 2, 8 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(0 8), [ 1, 5 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(20 8), [ 2, 5 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<( 0 10), [ 1, 4 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(20 10), [ 2, 4 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>,
<( 0 20), [ 1, 2 ], 12*t^2 + 40*t^4 + 68*t^6 + 96*t^8 + 124*t^10 + 152*t^12 + 180*t^14 + 208*t^16>,
<(20 20), [ 2, 2 ], 26*t^3 + 54*t^5 + 82*t^7 + 110*t^9 + 138*t^11 + 166*t^13 + 194*t^15>
*]>,
<124,
[*
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<(0 3), [ 1, 10 ], 29*t^3 + 61*t^5 + 93*t^7 + 125*t^9 + 157*t^11 + 189*t^13 + 221*t^15>,
<(15 3), [ 2, 10 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(0 5), [ 1, 6 ], 29*t^3 + 61*t^5 + 93*t^7 + 125*t^9 + 157*t^11 + 189*t^13 + 221*t^15>,
<(15 5), [ 2, 6 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>,
<(0 6), [ 1, 5 ], 13*t^2 + 45*t^4 + 77*t^6 + 109*t^8 + 141*t^10 + 173*t^12 + 205*t^14 + 237*t^16>,
<(15 6), [ 2, 5 ], 30*t^3 + 62*t^5 + 94*t^7 + 126*t^9 + 158*t^11 + 190*t^13 + 222*t^15>,
<( 0 10), [ 1, 3 ], 13*t^2 + 45*t^4 + 77*t^6 + 109*t^8 + 141*t^10 + 173*t^12 + 205*t^14 + 237*t^16>,
<(15 10), [ 2, 3 ], 30*t^3 + 62*t^5 + 94*t^7 + 126*t^9 + 158*t^11 + 190*t^13 + 222*t^15>,
<( 0 15), [ 1, 2 ], 29*t^3 + 61*t^5 + 93*t^7 + 125*t^9 + 157*t^11 + 189*t^13 + 221*t^15>,
<(15 15), [ 2, 2 ], 14*t^2 + 46*t^4 + 78*t^6 + 110*t^8 + 142*t^10 + 174*t^12 + 206*t^14 + 238*t^16>
*]>,
<125,
[*
<(0), [ 1 ], 8*t^2 + 33*t^4 + 57*t^6 + 83*t^8 + 107*t^10 + 133*t^12 + 157*t^14 + 183*t^16>,
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<(2), [ 50 ], 12*t^2 + 36*t^4 + 62*t^6 + 86*t^8 + 112*t^10 + 136*t^12 + 162*t^14 + 186*t^16>,
<(4), [ 25 ], 11*t^2 + 37*t^4 + 61*t^6 + 87*t^8 + 111*t^10 + 137*t^12 + 161*t^14 + 187*t^16>,
<(5), [ 20 ], 20*t^3 + 45*t^5 + 70*t^7 + 95*t^9 + 120*t^11 + 145*t^13 + 170*t^15>,
<(10), [ 10 ], 8*t^2 + 32*t^4 + 58*t^6 + 82*t^8 + 108*t^10 + 132*t^12 + 158*t^14 + 182*t^16>,
<(20), [ 5 ], 7*t^2 + 33*t^4 + 57*t^6 + 83*t^8 + 107*t^10 + 133*t^12 + 157*t^14 + 183*t^16>,
<(25), [ 4 ], 20*t^3 + 45*t^5 + 70*t^7 + 95*t^9 + 120*t^11 + 145*t^13 + 170*t^15>,
<(50), [ 2 ], 8*t^2 + 32*t^4 + 58*t^6 + 82*t^8 + 108*t^10 + 132*t^12 + 158*t^14 + 182*t^16>
*]>,
<126,
[*
<(0 0 0), [ 1, 1, 1 ], 17*t^2 + 64*t^4 + 112*t^6 + 160*t^8 + 208*t^10 + 256*t^12 + 304*t^14 + 352*t^16>,
<(0 1 0), [ 1, 6, 1 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
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<(0 3 0), [ 1, 2, 1 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
<(0 0 1), [ 1, 1, 6 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
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<(0 4 1), [ 1, 3, 6 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
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<(0 1 2), [ 1, 6, 3 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(0 2 2), [ 1, 3, 3 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
<(0 3 2), [ 1, 2, 3 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
<(0 4 2), [ 1, 3, 3 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
<(0 5 2), [ 1, 6, 3 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(0 0 3), [ 1, 1, 2 ], 40*t^3 + 88*t^5 + 136*t^7 + 184*t^9 + 232*t^11 + 280*t^13 + 328*t^15>,
<(0 1 3), [ 1, 6, 2 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
<(0 2 3), [ 1, 3, 2 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>,
<(0 3 3), [ 1, 2, 2 ], 16*t^2 + 64*t^4 + 112*t^6 + 160*t^8 + 208*t^10 + 256*t^12 + 304*t^14 + 352*t^16>
*]>,
<127,
[*
<(0), [ 1 ], 10*t^2 + 31*t^4 + 53*t^6 + 73*t^8 + 95*t^10 + 117*t^12 + 137*t^14 + 159*t^16>,
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<(63), [ 2 ], 21*t^3 + 41*t^5 + 63*t^7 + 85*t^9 + 105*t^11 + 127*t^13 + 149*t^15>
*]>,
<128,
[*
<(0 0), [ 1, 1 ], 9*t^2 + 40*t^4 + 72*t^6 + 104*t^8 + 136*t^10 + 168*t^12 + 200*t^14 + 232*t^16>,
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<(16 16), [ 2, 2 ], 24*t^3 + 56*t^5 + 88*t^7 + 120*t^9 + 152*t^11 + 184*t^13 + 216*t^15>
*]>,
<129,
[*
<(0 0), [ 1, 1 ], 13*t^2 + 42*t^4 + 72*t^6 + 100*t^8 + 130*t^10 + 160*t^12 + 188*t^14 + 218*t^16>,
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<(0 2), [ 1, 21 ], 13*t^2 + 42*t^4 + 71*t^6 + 101*t^8 + 130*t^10 + 159*t^12 + 189*t^14 + 218*t^16>,
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<(0 3), [ 1, 14 ], 28*t^3 + 56*t^5 + 86*t^7 + 116*t^9 + 144*t^11 + 174*t^13 + 204*t^15>,
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<(21 7), [ 2, 6 ], 13*t^2 + 42*t^4 + 71*t^6 + 101*t^8 + 130*t^10 + 159*t^12 + 189*t^14 + 218*t^16>,
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<(21 14), [ 2, 3 ], 27*t^3 + 57*t^5 + 86*t^7 + 115*t^9 + 145*t^11 + 174*t^13 + 203*t^15>,
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<(21 21), [ 2, 2 ], 12*t^2 + 42*t^4 + 72*t^6 + 100*t^8 + 130*t^10 + 160*t^12 + 188*t^14 + 218*t^16>
*]>,
<130,
[*
<(0 0 0), [ 1, 1, 1 ], 17*t^2 + 60*t^4 + 100*t^6 + 144*t^8 + 184*t^10 + 228*t^12 + 268*t^14 + 312*t^16>,
<(0 3 0), [ 1, 4, 1 ], 38*t^3 + 80*t^5 + 122*t^7 + 164*t^9 + 206*t^11 + 248*t^13 + 290*t^15>,
<(0 6 0), [ 1, 2, 1 ], 18*t^2 + 58*t^4 + 102*t^6 + 142*t^8 + 186*t^10 + 226*t^12 + 270*t^14 + 310*t^16>,
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<(0 6 1), [ 1, 2, 12 ], 38*t^3 + 80*t^5 + 122*t^7 + 164*t^9 + 206*t^11 + 248*t^13 + 290*t^15>,
<(0 9 1), [ 1, 4, 12 ], 17*t^2 + 59*t^4 + 101*t^6 + 143*t^8 + 185*t^10 + 227*t^12 + 269*t^14 + 311*t^16>,
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<(0 6 2), [ 1, 2, 6 ], 16*t^2 + 60*t^4 + 100*t^6 + 144*t^8 + 184*t^10 + 228*t^12 + 268*t^14 + 312*t^16>,
<(0 0 3), [ 1, 1, 4 ], 38*t^3 + 80*t^5 + 122*t^7 + 164*t^9 + 206*t^11 + 248*t^13 + 290*t^15>,
<(0 3 3), [ 1, 4, 4 ], 17*t^2 + 59*t^4 + 101*t^6 + 143*t^8 + 185*t^10 + 227*t^12 + 269*t^14 + 311*t^16>,
<(0 6 3), [ 1, 2, 4 ], 38*t^3 + 80*t^5 + 122*t^7 + 164*t^9 + 206*t^11 + 248*t^13 + 290*t^15>,
<(0 9 3), [ 1, 4, 4 ], 17*t^2 + 59*t^4 + 101*t^6 + 143*t^8 + 185*t^10 + 227*t^12 + 269*t^14 + 311*t^16>,
<(0 0 4), [ 1, 1, 3 ], 16*t^2 + 60*t^4 + 100*t^6 + 144*t^8 + 184*t^10 + 228*t^12 + 268*t^14 + 312*t^16>,
<(0 3 4), [ 1, 4, 3 ], 38*t^3 + 80*t^5 + 122*t^7 + 164*t^9 + 206*t^11 + 248*t^13 + 290*t^15>,
<(0 6 4), [ 1, 2, 3 ], 18*t^2 + 58*t^4 + 102*t^6 + 142*t^8 + 186*t^10 + 226*t^12 + 270*t^14 + 310*t^16>,
<(0 0 6), [ 1, 1, 2 ], 18*t^2 + 58*t^4 + 102*t^6 + 142*t^8 + 186*t^10 + 226*t^12 + 270*t^14 + 310*t^16>,
<(0 3 6), [ 1, 4, 2 ], 38*t^3 + 80*t^5 + 122*t^7 + 164*t^9 + 206*t^11 + 248*t^13 + 290*t^15>,
<(0 6 6), [ 1, 2, 2 ], 16*t^2 + 60*t^4 + 100*t^6 + 144*t^8 + 184*t^10 + 228*t^12 + 268*t^14 + 312*t^16>
*]>,
<131,
[*
<(0), [ 1 ], 11*t^2 + 32*t^4 + 54*t^6 + 76*t^8 + 98*t^10 + 120*t^12 + 142*t^14 + 164*t^16>,
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<(65), [ 2 ], 21*t^3 + 43*t^5 + 65*t^7 + 87*t^9 + 109*t^11 + 131*t^13 + 153*t^15>
*]>,
<132,
[*
<(0 0 0), [ 1, 1, 1 ], 19*t^2 + 66*t^4 + 114*t^6 + 162*t^8 + 210*t^10 + 258*t^12 + 306*t^14 + 354*t^16>,
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<(5 5 0), [ 2, 2, 1 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
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<(0 5 2), [ 1, 2, 5 ], 42*t^3 + 90*t^5 + 138*t^7 + 186*t^9 + 234*t^11 + 282*t^13 + 330*t^15>,
<(5 5 2), [ 2, 2, 5 ], 20*t^2 + 68*t^4 + 116*t^6 + 164*t^8 + 212*t^10 + 260*t^12 + 308*t^14 + 356*t^16>,
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<(0 5 5), [ 1, 2, 2 ], 18*t^2 + 66*t^4 + 114*t^6 + 162*t^8 + 210*t^10 + 258*t^12 + 306*t^14 + 354*t^16>,
<(5 5 5), [ 2, 2, 2 ], 44*t^3 + 92*t^5 + 140*t^7 + 188*t^9 + 236*t^11 + 284*t^13 + 332*t^15>
*]>,
<133,
[*
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<(12 2), [ 3, 9 ], 11*t^2 + 38*t^4 + 65*t^6 + 91*t^8 + 118*t^10 + 145*t^12 + 171*t^14 + 198*t^16>,
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<(6 3), [ 3, 6 ], 24*t^3 + 52*t^5 + 78*t^7 + 104*t^9 + 132*t^11 + 158*t^13 + 184*t^15>,
<(9 3), [ 2, 6 ], 10*t^2 + 38*t^4 + 66*t^6 + 90*t^8 + 118*t^10 + 146*t^12 + 170*t^14 + 198*t^16>,
<(12 3), [ 3, 6 ], 24*t^3 + 52*t^5 + 78*t^7 + 104*t^9 + 132*t^11 + 158*t^13 + 184*t^15>,
<(15 3), [ 6, 6 ], 12*t^2 + 38*t^4 + 64*t^6 + 92*t^8 + 118*t^10 + 144*t^12 + 172*t^14 + 198*t^16>,
<(0 6), [ 1, 3 ], 10*t^2 + 38*t^4 + 66*t^6 + 90*t^8 + 118*t^10 + 146*t^12 + 170*t^14 + 198*t^16>,
<(3 6), [ 6, 3 ], 24*t^3 + 52*t^5 + 78*t^7 + 104*t^9 + 132*t^11 + 158*t^13 + 184*t^15>,
<(6 6), [ 3, 3 ], 12*t^2 + 38*t^4 + 64*t^6 + 92*t^8 + 118*t^10 + 144*t^12 + 172*t^14 + 198*t^16>,
<(9 6), [ 2, 3 ], 26*t^3 + 50*t^5 + 78*t^7 + 106*t^9 + 130*t^11 + 158*t^13 + 186*t^15>,
<(12 6), [ 3, 3 ], 12*t^2 + 38*t^4 + 64*t^6 + 92*t^8 + 118*t^10 + 144*t^12 + 172*t^14 + 198*t^16>,
<(15 6), [ 6, 3 ], 24*t^3 + 52*t^5 + 78*t^7 + 104*t^9 + 132*t^11 + 158*t^13 + 184*t^15>,
<(0 9), [ 1, 2 ], 26*t^3 + 50*t^5 + 78*t^7 + 106*t^9 + 130*t^11 + 158*t^13 + 186*t^15>,
<(3 9), [ 6, 2 ], 12*t^2 + 38*t^4 + 64*t^6 + 92*t^8 + 118*t^10 + 144*t^12 + 172*t^14 + 198*t^16>,
<(6 9), [ 3, 2 ], 24*t^3 + 52*t^5 + 78*t^7 + 104*t^9 + 132*t^11 + 158*t^13 + 184*t^15>,
<(9 9), [ 2, 2 ], 10*t^2 + 38*t^4 + 66*t^6 + 90*t^8 + 118*t^10 + 146*t^12 + 170*t^14 + 198*t^16>
*]>,
<134,
[*
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<(0 1), [ 1, 66 ], 32*t^3 + 66*t^5 + 100*t^7 + 134*t^9 + 168*t^11 + 202*t^13 + 236*t^15>,
<(0 2), [ 1, 33 ], 15*t^2 + 49*t^4 + 83*t^6 + 117*t^8 + 151*t^10 + 185*t^12 + 219*t^14 + 253*t^16>,
<(0 3), [ 1, 22 ], 32*t^3 + 66*t^5 + 100*t^7 + 134*t^9 + 168*t^11 + 202*t^13 + 236*t^15>,
<(0 6), [ 1, 11 ], 15*t^2 + 49*t^4 + 83*t^6 + 117*t^8 + 151*t^10 + 185*t^12 + 219*t^14 + 253*t^16>,
<( 0 11), [ 1, 6 ], 32*t^3 + 66*t^5 + 100*t^7 + 134*t^9 + 168*t^11 + 202*t^13 + 236*t^15>,
<( 0 22), [ 1, 3 ], 15*t^2 + 49*t^4 + 83*t^6 + 117*t^8 + 151*t^10 + 185*t^12 + 219*t^14 + 253*t^16>,
<( 0 33), [ 1, 2 ], 32*t^3 + 66*t^5 + 100*t^7 + 134*t^9 + 168*t^11 + 202*t^13 + 236*t^15>
*]>,
<135,
[*
<(0 0), [ 1, 1 ], 13*t^2 + 48*t^4 + 84*t^6 + 120*t^8 + 156*t^10 + 192*t^12 + 228*t^14 + 264*t^16>,
<(2 0), [ 18, 1 ], 34*t^3 + 70*t^5 + 106*t^7 + 142*t^9 + 178*t^11 + 214*t^13 + 250*t^15>,
<(4 0), [ 9, 1 ], 16*t^2 + 52*t^4 + 88*t^6 + 124*t^8 + 160*t^10 + 196*t^12 + 2