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Hamiltonian Circle Actions with a Minimal Number of Fixed Points

The archives on the right contain the .txt files obtained by running the most relevant steps of MinimalIW.nb.

The first contains the files Part#toprk.txt and Part#smallrk.txt obtained by running Part III of MinimalIW.nb, which sorts the partitions according to the rank of the matrices that they originate.

The second contains the files FIWaux#.txt with the initial lists of isotropy weights obtained by running Part V b) of MinimalIW.nb.

The last archives contain the files

ShortFIWaux#.txt,
C1FIWaux#.txt
FinalIWaux#.txt,

with the lists of Isotropy weights obtained by running MinimalIW.nb Part V. c)
4. (which uses Lemmas 8.1 and 8.2 in [GS]),
8. (which uses equation (8.2)),
9. (which uses the polynomial equations in (1.1)).

Sorted Partitions:

(compressed archive)

Initial Lists of IWs for non-maximal rank:

(compressed archive)

Intermediate Lists of IWs:

i (compressed archive)
ii (compressed archive)
iii (compressed archive)