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n = 51
 f(x) = 0 for 0 ≤ x < 10/51 f(x) = 0.0002938681556273 for 10/51 ≤ x < 12/51 f(x) = 0.5952882223921177 for 12/51 ≤ x < 14/51 f(x) = 0.7844530825484313 for 14/51 ≤ x < 16/51 f(x) = 0.8950034338013842 for 16/51 ≤ x < 18/51 f(x) = 0.0597964076006748 for 18/51 ≤ x < 20/51 f(x) = 0.0189602838469592 for 20/51 ≤ x < 22/51 f(x) = 0.7420501628172980 for 22/51 ≤ x < 24/51 f(x) = 0.6444559588500921 for 24/51 ≤ x < 26/51 f(x) = 0.3549040817844764 for 26/51 ≤ x < 28/51 f(x) = 0.8762442385073478 for 28/51 ≤ x < 30/51 f(x) = 0.5437907313675501 for 30/51 ≤ x < 32/51 f(x) = 0.2679640048997296 for 32/51 ≤ x < 34/51 f(x) = 0.8518954615823791 for 34/51 ≤ x < 36/51 f(x) = 0.5211171156914872 for 36/51 ≤ x < 38/51 f(x) = 1 for 38/51 ≤ x < 40/51 f(x) = 0.5506146790047043 for 40/51 ≤ x < 42/51 f(x) = 0.9007715390796991 for 42/51 ≤ x < 44/51 f(x) = 0.8229000691941086 for 44/51 ≤ x < 46/51 f(x) = 0.8879541710440111 for 46/51 ≤ x < 48/51 f(x) = 0.9315424878319221 for 48/51 ≤ x < 50/51 f(x) = 1 for 50/51 ≤ x ≤ 1 f(x) = f(2-x) for 1 < x ≤ 2
Illustration
α(f) < 0.3809268534330870
 maximal for 4/51 ≤ |k| ≤ 36/51 and 40/51 ≤ |k| ≤ 42/51

Discovered: May 2011

Published as e-print: September 2016