Squares in L's

The following pictures show n unit squares packed inside the smallest known L (of long side s).

1.-3.
           4.-5.
           6.
s = 2
Trivial. 		s = 3
Trivial. 		s = (5√2 + 4) / 3 = 3.690+
Found by David W. Cantrell
in June 2005.

7.
           8.-12.
           13.
s = √2 + 5/2 = 3.914+
Found by Erich Friedman
in June 2005. 		s = 4
Trivial. 		s = 2 + 2√2 = 4.828+
Found by Maurizio Morandi
in October 2008.

14.
           15.-16.
           17.
s = 4.98674+
Found by Jonathan Viquerat
in June 2026. 		s = 5
Trivial. 		s = 4/3 + 3√2 = 5.575+
Found by Maurizio Morandi
in October 2008.

18.
           19.
           20.
s = (2√2 + 14) / 3 = 5.609+
Found by Erich Friedman
in June 2005. 		s = 5.79105+
Found by Joshua Wolk
in September 2026. 		s = 5.937+
Found by David W. Cantrell
in July 2012.

21.-27.
           28.
           29.
s = 6
Trivial. 		s = 6 + √2/2 = 6.707+
Found by Maurizio Morandi
in September 2015. 		s = 6.840+
Found by Maurizio Morandi
in September 2015.

30.
           31.-33.
           34.
s = 6.98539+
Found by Joshua Wolk
in September 2026. 		s = 7
Trivial. 		s = 7.50936+
Found by Joshua Wolk
in September 2026.

35.
           36.
           37.
s = 7.55572+
Found by Joshua Wolk
in September 2026. 		s = 7.63878+
Found by Joshua Wolk
in September 2026. 		s = 7.74697+
Found by Joshua Wolk
in September 2026.

38.
           39.
           40.-48.
s = 7.82078+
Found by Yanis Gomes
in October 2026. 		s = 7.95442+
Found by Yanis Gomes
in October 2026. 		s = 8
Trivial.

49.
           50.
s = 8.65515+
Found by Joshua Wolk
in September 2026. 		s = 8.80640+
Found by Joshua Wolk
in September 2026.