Question about Degrees of Freedom in MANOVA

res <-manova(cbind(Sepal.Length, Sepal.Width) ~ Species, data=iris)

When running the above code, the result will be as follows:

           Df  Pillai approx F num Df den Df    Pr(>F)    
Species     2 0.94531   65.878      4    294 < 2.2e-16 ***
Residuals 147                                             
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Now I'm confused by the result of "num Df" and "den Df".
As iris has only 150 rows of data, I thought the sum of dfs should be 149.
However, the value of "den Df" exceeds that and the sums of them seems twice the value.
Then, what do those values mean and what is the relation between them and the "Df" in the leftmost column?
Which values shold I have to report in a paper?

Any help will be appreciated!

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