$SPAD/src/input shannonmatrix.input

Barry Trager December 3, 2016

Abstract

Contents

2

— * —

)set break resume
)spool shannonmatrix.output
)set message test on
)set message auto off
)clear all
--S 1 of 27
vprod(v1:Vector PF 2,v2:Vector PF 2):Vector PF 2 ==
   [v1.i * v2.i for i in 1..#v1]
--
--   Function declaration vprod : (Vector PrimeField 2,Vector PrimeField
--      2) -> Vector PrimeField 2 has been added to workspace.
--                                                                   Type: Void
--E 1
--S 2 of 27
varmat(nvar) ==
   N := 2^nvar
   vmat := zero(nvar, N)$Matrix PF 2
   for i in 0..N-1 repeat
    for j in 0..nvar-1 repeat
        if bit?(i,j) then vmat(nvar-j,i+1):=1
   vmat
--
--                                                                   Type: Void
--E 2
--S 3 of 27
prodvec(bvec:Vector PF 2, vmat:Matrix PF 2):Vector PF 2 ==
   vec := new(ncols vmat,1)$Vector PF 2
   for i in 1..#bvec repeat
       if bvec(i)=1 then
           vec := vprod(vec, row(vmat,i))
   vec
--
--   Function declaration prodvec : (Vector PrimeField 2,Matrix
--      PrimeField 2) -> Vector PrimeField 2 has been added to workspace.
--                                                                   Type: Void
--E 3
--S 4 of 27
B(r,m) ==
   vmat := varmat m
   r = 0 => matrix [prodvec(column(vmat,1), vmat)]
   r = 1 => vmat
   rows : List Vector PF 2 := []
   for j in 1..ncols vmat repeat

       colj := column(vmat,j)
       if reduce(+, colj::Vector INT) = r then
           rows := concat(prodvec(colj, vmat),rows)
   matrix rows
--
--                                                                   Type: Void
--E 4
--S 5 of 27
G(r,m) ==
   gmat := B(0, m)
   for i in 1..r repeat
       gmat := vertConcat(gmat, B(i,m))
   gmat
--
--                                                                   Type: Void
--E 5
--S 6 of 27
Galt(r,m) ==
   vmat := varmat m
   rows : List Vector PF 2 := []
   for j in 1..ncols vmat repeat
       colj := column(vmat,j)
       if reduce(+, colj::Vector INT) <= r then
           rows := concat(prodvec(colj, vmat),rows)
   matrix rows
--
--                                                                   Type: Void
--E 6
--S 7 of 27
orvec(vec:Vector PF 2):INT ==
   for i in 1..#vec repeat
       if vec(i) = 1 then return 1
   return 0
--
--   Function declaration orvec : Vector PrimeField 2 -> Integer has been
--      added to workspace.
--                                                                   Type: Void
--E 7
--S 8 of 27
countNonzRows(mat) ==
   reduce(+,[orvec(row(mat,i)) for i in 1..nrows mat])
--
--                                                                   Type: Void
--E 8
--S 9 of 27

testTOGM(mat) == -- 0 if test succeeds otherise failing col
   for i in 1..ncols(mat) repeat
       mi := subMatrix(mat,1,nrows(mat),1,i)
       if rank(mi) ~= countNonzRows mi then return( i)
       rmi := subMatrix(mat,1,nrows(mat),ncols(mat)-i+1,ncols mat)
       if rank(rmi) ~= countNonzRows rmi then return(-i)
   return 0
--
--                                                                   Type: Void
--E 9
--S 10 of 27
leftind(v:Vector PF 2):INT ==
   n := #v
   for i in 1..n repeat
       if v.i = 1 then return i
   return( -1)
--
--   Function declaration leftind : Vector PrimeField 2 -> Integer has
--      been added to workspace.
--                                                                   Type: Void
--E 10
--S 11 of 27
rightind(v:Vector PF 2):INT ==
   n := #v
   for i in n..1 by -1 repeat
       if v.i = 1 then return i
   return( -1)
--
--   Function declaration rightind : Vector PrimeField 2 -> Integer has
--      been added to workspace.
--                                                                   Type: Void
--E 11
--S 12 of 27
makeActive m ==
   mm := copy m
   for i in 1..nrows mm repeat
       v := row(mm,i)
       for j in leftind(v)..rightind(v) repeat
           mm(i,j) := 1
   mm
--
--                                                                   Type: Void
--E 12
--S 13 of 27
makeTOGM(mat) ==
   m := rowEchelon mat

   nr := nrows m
   for i in nr..1 by -1 repeat
       r := rightind(row(m,i))
       for ii in 1.. i-1 repeat
           if m(ii,r) = 1 then
              setRow!(m,ii,row(m,ii)+row(m,i))
   m
--
--                                                                   Type: Void
--E 13
--S 14 of 27
countActives m ==
   mm := makeActive m
   nc1 : NNI := (ncols(mm)-1)::NNI
   v:=new(nc1,0)$Vector INT
   for j in 1..nc1 repeat
       for i in 1..nrows(mm) repeat
           if mm(i,j)=1 and mm(i,j+1) = 1 then v.j := v.j + 1
   v::List INT
--
--                                                                   Type: Void
--E 14
--S 15 of 27
nstates m ==
   reduce(+,[2^i for i in countActives m])
--
--                                                                   Type: Void
--E 15
--S 16 of 27
rowmats(vec:Vector PF 2):Vector Matrix POLY INT ==
   left := leftind(vec)
   right := rightind(vec)
   lmat:Matrix POLY INT := matrix [[1]]
   lmats : Vector Matrix POLY INT := new(#vec, lmat)
   lmats.left := matrix [[1, I*D]]
   for i in left+1..right-1 repeat
       if vec.i = 0 then lmats.i := matrix [[1,0],[0,1]]
       else lmats.i := matrix [[1, 0],[0,D]]
   lmats.right := matrix [[1], [D]]
   lmats
--
--   Function declaration rowmats : Vector PrimeField 2 -> Vector Matrix
--      Polynomial Integer has been added to workspace.
--                                                                   Type: Void
--E 16
--S 17 of 27

rowmats1(vec:Vector PF 2):Vector Matrix POLY INT == -- no input weights I=1
   left := leftind(vec)
   right := rightind(vec)
   lmat:Matrix POLY INT := matrix [[1]]
   lmats : Vector Matrix POLY INT := new(#vec, lmat)
   lmats.left := matrix [[1, D]]
   for i in left+1..right-1 repeat
       if vec.i = 0 then lmats.i := matrix [[1,0],[0,1]]
       else lmats.i := matrix [[1, 0],[0,D]]
   lmats.right := matrix [[1], [D]]
   lmats
--
--   Function declaration rowmats1 : Vector PrimeField 2 -> Vector Matrix
--      Polynomial Integer has been added to workspace.
--                                                                   Type: Void
--E 17
--S 18 of 27
shannonMatProd(mat1, mat2) ==
   mat:Matrix POLY INT:=zero(nrows(mat1)*nrows(mat2), ncols(mat1)*ncols(mat2))
   for i1 in 1..nrows(mat1) repeat
       for i2 in 1..nrows(mat2) repeat
           for j1 in 1..ncols(mat1) repeat
               for j2 in 1..ncols(mat2) repeat
                   p1 := mat1(i1,j1)
                   p2 := mat2(i2,j2)
                   if p1 ~= 0 and p2~=0 then
                       mat((i1-1)*nrows(mat2)+i2, (j1-1)*ncols(mat2)+j2) := _
                          I^(degree(p1,I) + degree(p2,I))_
                            * D ^((degree(p1,D) + degree(p2,D)) rem 2)
   mat
--
--                                                                   Type: Void
--E 18
--S 19 of 27
shannonProd(lpmats1, lpmats2) ==
   olmats := copy lpmats1
   for i in 1..#olmats repeat
       olmats.i := shannonMatProd(olmats.i, lpmats2.i)
   olmats
--
--                                                                   Type: Void
--E 19
--S 20 of 27
makeMatList(m) ==
   lpmats := rowmats(row(m,1))
   for i in 2..nrows m repeat
       print ["processing row",i]

       lpmats := shannonProd(lpmats, rowmats(row(m,i)))
   lpmats
--
--                                                                   Type: Void
--E 20
--S 21 of 27
part(l,i,k) == -- extracts section i out of k from list l
   n := (#l/k)::INT
   [l.j for j in (i-1)*n+1..i*n]
--
--                                                                   Type: Void
--E 21
--S 22 of 27
saveMatList(m, fn) ==
   lpmats := makeMatList m
   fn.'lpmats1:=part(lpmats,1,8)
   fn.'lpmats2:=part(lpmats,2,8)
   fn.'lpmats3:=part(lpmats,3,8)
   fn.'lpmats4:=part(lpmats,4,8)
   fn.'lpmats5:=part(lpmats,5,8)
   fn.'lpmats6:=part(lpmats,6,8)
   fn.'lpmats7:=part(lpmats,7,8)
   fn.'lpmats8:=part(lpmats,8,8)
   keys fn
--
--                                                                   Type: Void
--E 22
--S 23 of 27
wtpoly(m:Matrix PF 2):POLY INT ==
   lpmats := rowmats1(row(m,1))
   for i in 2..nrows m repeat
       print ["processing row",i]
       lpmats := shannonProd(lpmats, rowmats1(row(m,i)))
   pmat := lpmats.1
   print "multiplying matrices"
   for i in 2..#lpmats repeat
       pmat := pmat * lpmats.i
   pmat(1,1)
--
--   Function declaration wtpoly : Matrix PrimeField 2 -> Polynomial
--      Integer has been added to workspace.
--                                                                   Type: Void
--E 23
--S 24 of 27
saveWtPoly(m, fn) ==
   pol := wtpoly m

   fn.'T := pol
--
--                                                                   Type: Void
--E 24
--S 25 of 27
g57 := makeTOGM G(5,7)
--
--   Compiling function varmat with type PositiveInteger -> Matrix
--      PrimeField 2
--   Compiling function vprod with type (Vector PrimeField 2,Vector
--      PrimeField 2) -> Vector PrimeField 2
--   Compiling function prodvec with type (Vector PrimeField 2,Matrix
--      PrimeField 2) -> Vector PrimeField 2
--   Compiling function B with type (NonNegativeInteger,PositiveInteger)
--       -> Matrix PrimeField 2
--   Compiling function G with type (PositiveInteger,PositiveInteger) ->
--      Matrix PrimeField 2
--   Compiling function rightind with type Vector PrimeField 2 -> Integer
--
--   Compiling function makeTOGM with type Matrix PrimeField 2 -> Matrix
--      PrimeField 2
--
--   (25)
--   [
--     [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
--      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0,
--      1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0,
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--
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--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
--      1, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0,
--      1, 0, 0, 0, 1, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1,
--      0, 0, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1,
--      1, 0, 1, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,

--      1, 1, 0, 0, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      1, 1, 1, 1, 0, 0, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 1, 0, 1, 1, 0, 1, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 1, 1, 1, 1, 0, 0]
--     ,
--
--     [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
--      0, 0, 0, 0, 1, 1, 1, 1]
--     ]
--                                                    Type: Matrix PrimeField 2
--E 25
--S 26 of 27
p:=wtpoly g57
--
--   Compiling function leftind with type Vector PrimeField 2 -> Integer
--   Compiling function rowmats1 with type Vector PrimeField 2 -> Vector
--      Matrix Polynomial Integer
--   Compiling function shannonMatProd with type (Matrix Polynomial
--      Integer,Matrix Polynomial Integer) -> Matrix Polynomial Integer
--   Compiling function shannonProd with type (Vector Matrix Polynomial
--      Integer,Vector Matrix Polynomial Integer) -> Vector Matrix
--      Polynomial Integer
--   Compiling function wtpoly with type Matrix PrimeField 2 ->
--      Polynomial Integer

--   ["processing row",2]
--   ["processing row",3]
--   ["processing row",4]
--   ["processing row",5]
--   ["processing row",6]
--   ["processing row",7]
--   ["processing row",8]
--   ["processing row",9]
--   ["processing row",10]
--   ["processing row",11]
--   ["processing row",12]
--   ["processing row",13]
--   ["processing row",14]
--   ["processing row",15]
--   ["processing row",16]
--   ["processing row",17]
--   ["processing row",18]
--   ["processing row",19]
--   ["processing row",20]
--   ["processing row",21]
--   ["processing row",22]
--   ["processing row",23]
--   ["processing row",24]
--   ["processing row",25]
--   ["processing row",26]
--   ["processing row",27]
--   ["processing row",28]
--   ["processing row",29]
--   ["processing row",30]
--   ["processing row",31]
--   ["processing row",32]
--   ["processing row",33]
--   ["processing row",34]
--   ["processing row",35]
--   ["processing row",36]
--   ["processing row",37]
--   ["processing row",38]
--   ["processing row",39]
--   ["processing row",40]
--   ["processing row",41]
--   ["processing row",42]
--   ["processing row",43]
--   ["processing row",44]
--   ["processing row",45]
--   ["processing row",46]
--   ["processing row",47]
--   ["processing row",48]
--   ["processing row",49]
--   ["processing row",50]
--   ["processing row",51]

--   ["processing row",52]
--   ["processing row",53]
--   ["processing row",54]
--   ["processing row",55]
--   ["processing row",56]
--   ["processing row",57]
--   ["processing row",58]
--   ["processing row",59]
--   ["processing row",60]
--   ["processing row",61]
--   ["processing row",62]
--   ["processing row",63]
--   ["processing row",64]
--   ["processing row",65]
--   ["processing row",66]
--   ["processing row",67]
--   ["processing row",68]
--   ["processing row",69]
--   ["processing row",70]
--   ["processing row",71]
--   ["processing row",72]
--   ["processing row",73]
--   ["processing row",74]
--   ["processing row",75]
--   ["processing row",76]
--   ["processing row",77]
--   ["processing row",78]
--   ["processing row",79]
--   ["processing row",80]
--   ["processing row",81]
--   ["processing row",82]
--   ["processing row",83]
--   ["processing row",84]
--   ["processing row",85]
--   ["processing row",86]
--   ["processing row",87]
--   ["processing row",88]
--   ["processing row",89]
--   ["processing row",90]
--   ["processing row",91]
--   ["processing row",92]
--   ["processing row",93]
--   ["processing row",94]
--   ["processing row",95]
--   ["processing row",96]
--   ["processing row",97]
--   ["processing row",98]
--   ["processing row",99]
--   ["processing row",100]
--   ["processing row",101]

--   ["processing row",102]
--   ["processing row",103]
--   ["processing row",104]
--   ["processing row",105]
--   ["processing row",106]
--   ["processing row",107]
--   ["processing row",108]
--   ["processing row",109]
--   ["processing row",110]
--   ["processing row",111]
--   ["processing row",112]
--   ["processing row",113]
--   ["processing row",114]
--   ["processing row",115]
--   ["processing row",116]
--   ["processing row",117]
--   ["processing row",118]
--   ["processing row",119]
--   ["processing row",120]
--   "multiplying matrices"
--
--   (26)
--      128         124            122               120                 118
--     D    + 85344D    + 42330624D    + 11170182384D    + 1772228014592D
--   +
--                     116                     114                      112
--     185359804775712D    + 13586256544975872D    + 729242357526446712D
--   +
--                          110                         108
--     29627257927486958592D    + 934817955092922629344D
--   +
--                             106                            104
--     23382589365749366429184D    + 471464166034059302122704D
--   +
--                               102                               100
--     7769729456174562056216064D    + 105877979970476869275385504D
--   +
--                                  98                                 96
--     1204818392766796825789470720D   + 11545366574237052418777217820D
--   +
--                                   94                                  92
--     93844690870798540052434360320D   + 651103402851220082586931517920D
--   +
--                                     90                                    88
--     3876982708869397190103809681920D   + 19906815062848699462140058602480D
--   +
--                                      86                                     84
--     88505561045975275152200314606080D   + 341953304041268345847846829061280D
--   +
--                                        82

--     1151738374770880217441839661716480D
--   +
--                                        80
--     3390889310828097487679807613566280D
--   +
--                                        78
--     8747110385483091255323050018747392D
--   +
--                                         76
--     19809632343594061105640384790579552D
--   +
--                                         74
--     39453146176969302060067713110615552D
--   +
--                                         72
--     69196719366229927819863672056678992D
--   +
--                                          70
--     106997468058126854441956301420662272D
--   +
--                                          68
--     145988070825071389633119654266397216D
--   +
--                                          66
--     175865058349821585715411392357912576D
--   +
--                                          64
--     187118328452563149209991044344449606D
--   +
--                                          62
--     175865058349821585715411392357912576D
--   +
--                                          60
--     145988070825071389633119654266397216D
--   +
--                                          58
--     106997468058126854441956301420662272D
--   +
--                                         56
--     69196719366229927819863672056678992D
--   +
--                                         54
--     39453146176969302060067713110615552D
--   +
--                                         52
--     19809632343594061105640384790579552D
--   +
--                                        50
--     8747110385483091255323050018747392D
--   +

--                                        48
--     3390889310828097487679807613566280D
--   +
--                                        46
--     1151738374770880217441839661716480D
--   +
--                                       44                                    42
--     341953304041268345847846829061280D   + 88505561045975275152200314606080D
--   +
--                                      40                                   38
--     19906815062848699462140058602480D   + 3876982708869397190103809681920D
--   +
--                                    36                                 34
--     651103402851220082586931517920D   + 93844690870798540052434360320D
--   +
--                                   32                                30
--     11545366574237052418777217820D   + 1204818392766796825789470720D
--   +
--                                 28                             26
--     105877979970476869275385504D   + 7769729456174562056216064D
--   +
--                              24                           22
--     471464166034059302122704D   + 23382589365749366429184D
--   +
--                           20                        18                      16
--     934817955092922629344D   + 29627257927486958592D   + 729242357526446712D
--   +
--                       14                   12                 10
--     13586256544975872D   + 185359804775712D   + 1772228014592D
--   +
--                 8            6         4
--     11170182384D  + 42330624D  + 85344D  + 1
--                                                     Type: Polynomial Integer
--E 26
--S 27 of 27
reduce(+,coefficients p)-2^120
--
--
--   (27)  0
--                                                     Type: NonNegativeInteger
--E 27
)spool
)lisp (bye)

———-

References^{[1] nothing}

34