p=4 d=1: n0(shift-coefficient certificate) = 4; smallest n with P>0 for all integers >= n: 4; real roots of P in [4, oo): 0; sign P(3) = -
p=4 d=2: n0(shift-coefficient certificate) = 20; smallest n with P>0 for all integers >= n: 20; real roots of P in [20, oo): 0; sign P(19) = -
p=4 d=3: n0(shift-coefficient certificate) = 54; smallest n with P>0 for all integers >= n: 54; real roots of P in [54, oo): 0; sign P(53) = -
p=4 d=4: n0(shift-coefficient certificate) = 121; smallest n with P>0 for all integers >= n: 121; real roots of P in [121, oo): 0; sign P(120) = -
p=4 d=5: n0(shift-coefficient certificate) = 245; smallest n with P>0 for all integers >= n: 245; real roots of P in [245, oo): 0; sign P(244) = -
p=4 d=6: n0(shift-coefficient certificate) = 469; smallest n with P>0 for all integers >= n: 469; real roots of P in [469, oo): 0; sign P(468) = -
p=6 d=1: n0(shift-coefficient certificate) = 3; smallest n with P>0 for all integers >= n: 3; real roots of P in [3, oo): 0; sign P(2) = n/a
p=6 d=2: n0(shift-coefficient certificate) = 8; smallest n with P>0 for all integers >= n: 8; real roots of P in [8, oo): 0; sign P(7) = -
p=6 d=3: n0(shift-coefficient certificate) = 16; smallest n with P>0 for all integers >= n: 16; real roots of P in [16, oo): 0; sign P(15) = -
p=6 d=4: n0(shift-coefficient certificate) = 26; smallest n with P>0 for all integers >= n: 26; real roots of P in [26, oo): 0; sign P(25) = -
p=8 d=1: n0(shift-coefficient certificate) = 3; smallest n with P>0 for all integers >= n: 3; real roots of P in [3, oo): 0; sign P(2) = n/a
p=8 d=2: n0(shift-coefficient certificate) = 6; smallest n with P>0 for all integers >= n: 6; real roots of P in [6, oo): 0; sign P(5) = -
p=8 d=3: n0(shift-coefficient certificate) = 11; smallest n with P>0 for all integers >= n: 11; real roots of P in [11, oo): 0; sign P(10) = -
p=10 d=1: n0(shift-coefficient certificate) = 3; smallest n with P>0 for all integers >= n: 3; real roots of P in [3, oo): 0; sign P(2) = n/a
p=10 d=2: n0(shift-coefficient certificate) = 5; smallest n with P>0 for all integers >= n: 5; real roots of P in [5, oo): 0; sign P(4) = -
