1.
| 2.
| 3.
| ||
| s = 1/2 Trivial. | s = 1/√2 = .707+ Trivial. | s = (1+√7) / 4 = .911+ Found by Erich Friedman in July 2011. |
4.
| 5.
| 6.
| ||
| s = (√6 + √2) / 4 = .965+ Found by Maurizio Morandi in July 2012. | s = 0.99960+ Found by Joshua Wolk in September 2026. | s = 1 Trivial. |
7.
| 8.
| 9.
| ||
| s = (2 + √2) / 3 = 1.138+ Found by David W. Cantrell in July 2012. | s = (1 + 2√2) / 3 = 1.276+ Found by Maurizio Morandi in July 2012. | s = 4/3 = 1.333+ Found by Maurizio Morandi in July 2012. |
10.
| 11.-12.
| 13.
| ||
| s = 1.400+ Found by Maurizio Morandi in July 2012. | s = √2 = 1.414+ Trivial. | s = 1.499+ Found by Maurizio Morandi in July 2012. |
14.
| 15.
| 16.
| ||
| s = 1.607+ Found by Maurizio Morandi in August 2012. | s = 1.680+ Found by Maurizio Morandi in August 2012. | s = 1 + 1/√2 = 1.70711+ Found by Edoardo Gnaldi in September 2026. |
17.
| 18.
| 19.
| |||
| s = 1.76578+ Found by Joshua Wolk in September 2026. | s = 1.83040+ Found by Joshua Wolk in September 2026. | s = 1.86666+ Found by Yanis Gomes in October 2026. |
20.
| 21.
| 22.
| ||
| s = 1.90447+ Found by Yanis Gomes in October 2026. | s = 1.94834+ Found by Joshua Wolk in September 2026. | s = 1.97322+ Found by Joshua Wolk in September 2026. |
23.
| 24.
| 25.
| ||
| s = 1.99896+ Found by Joshua Wolk in September 2026. | s = 2 Trivial. | s = 2.07683+ Found by Yanis Gomes in October 2026. |
26.
| 27.
| 28.
| ||
| s = 2.12022+ Found by Yanis Gomes in October 2026. | s = 2.16951+ Found by Joshua Wolk in September 2026. | s = (3 + √2)/2 = 2.20710+ Found by Maurizio Morandi in September 2026. |
29.
| 30.
| 31.
| ||
| s = (4 + 2√2)/3 = 2.27614+ Found by Maurizio Morandi in September 2026. | s = (11 + 2√2)/6 = 2.30473+ Found by Maurizio Morandi in September 2026. | s = 7/3 = 2.33333+ Found by Joshua Wolk in September 2026. |
32.
| 33.
| 34.
| ||
| s = 2.39264+ Found by Joshua Wolk in September 2026. | s = 2.41007+ Found by Joshua Wolk in September 2026. | s = 1+√2 =2.41421 Found by Maurizio Morandi in October 2026. |
35.
| 36.
| 37.
| ||
| s = 2.48514+ Found by Joshua Wolk in September 2026. | s = 2.54539+ Found by Joshua Wolk in September 2026. | s = 2.57508+ Found by Joshua Wolk in September 2026. |
38.
| 39.
| 40.
| ||
| s = 2.60249+ Found by Joshua Wolk in September 2026. | s = 2.65096+ Found by Joshua Wolk in September 2026. | s = 2.67717+ Found by Joshua Wolk in September 2026. |
41.
| 42.
| 43.
| ||
| s = 2.70577+ Found by Yanis Gomes in October 2026. | s = 2.74275+ Found by Joshua Wolk in September 2026. | s = 2.75773+ Found by Yanis Gomes in October 2026. |
44.
| 45.
| 46.
| ||
| s = 2.77958+ Found by Yanis Gomes in October 2026. | s = 2.80254+ Found by Yanis Gomes in October 2026. | s = 2.82248+ Found by Joshua Wolk in September 2026. |
47.-48.
| 49.
| 50.
| ||
| s = 2√2 = 2.82842+ Trivial. | s = 2.91552+ Found by Yanis Gomes in October 2026. | s = 2.96887+ Found by Yanis Gomes in October 2026. |