Longest constrained sequences

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The numbers in square brackets show (what we know of) the length of the longest sequence of discrepancy 2 satisfying the given constraints exactly. The notation [math]\displaystyle{ a=b }[/math] is shorthand for [math]\displaystyle{ T_a(x) = T_b(x) }[/math], and [math]\displaystyle{ a=-b }[/math] for [math]\displaystyle{ T_a(x) = -T_b(x) }[/math].

1 = +2 : [170]
1 = -2 : [>=974]
1 = -2,  1 = +3 : [188]
1 = -2,  1 = -3 : [470]
1 = -2,  1 = +5 : [356]
1 = -2,  1 = -5 : [>=974]
1 = -2,  1 = -5,  1 =  +7 : [>=566]
1 = -2,  1 = -5,  1 =  -7 : [284]
1 = -2,  1 = -5, 11 = -13 : [>=974]
1 = -2,  1 = -5, 11 = -13, 17 = -19 : [974]
1 = -2,  1 = -5, 11 = -13, 17 = -19, 23 = +29 : [974]
1 = -2,  1 = -5, 11 = -13, 17 = -19, 23 = +29, 23 = -31 : [854]
1 = +3 : [188]
1 = -3 : [>=516]
1 = -3,  1 = -5 : [>=476]
1 = -3,  1 = +5 : [>=376]
1 = +32 : [>=417]
2 = +3 : [>=514]
2 = -3 : [>=587]