No, no, no, you guys have it all wrong, you take a pencil and a big sheet of
paper and write:
(brute force spoiler)

 power     1     3    -1     -2

                9    -3    -6
               -3     1     2
               -6     2     4

 power    2     9     -6   -11     4       4

               81    -54   -99    36      36
                     -54    36    66     -24    -24
                           -99    66     121    -44    -44
                                  36     -24    -44     16    16
                                          36    -24    -44    16    16

 power    4           81   -108  -162   204     145   -136    -72    32
16

                     729   -972 -1458  1836    1305  -1224   -648   288
144
                           -486   648   972   -1224   -870    816   432
-192    -96
                                 -891  1188    1782  -2244  -1595  1496
792   -352  -176
                                        324    -432   -648    816   580
-544   -288   128   64
                                                324   -432   -648   816
580   -544  -288  128  64

  power   6          729  -1458 -1701  4320    1755  -5418  -1259  3612
780  -1280  -336  192  64

even exp sum          32

You may need to widen your windows for this one. :)

Cheers,
David
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