%I #8 Oct 27 2023 11:52:56
%S 1,1,2,0,8,7,3,4,8,9,9,3,7,0,5,9,3,0,2,8,5,6,0,5,5,3,5,7,3,7,3,6,3,2,
%T 1,7,3,4,8,8,5,9,1,4,1,7,3,3,3,0,7,6,1,5,7,5,5,6,9,3,6,4,8,2,1,9,4,2,
%U 8,3,5,6,8,3,8,3,4,7,5,7,0,5,1,9,1,3,7,9,3,6,4
%N Decimal expansion of the absolute value of the imaginary part of the larger pair of the 4 complex roots of x^4 + x^2 + x + 1 = 0.
%C The 4 roots are (A366162) + i*(A366163) and (A366162) + i*D, where D is the constant given by this sequence.
%H <a href="/index/Al#algebraic_12">Index entries for algebraic numbers, degree 12</a>
%e 1.120873489937059302856055357373632173488591417333...
%o (PARI) vecmax (abs (imag (polroots (x^4 + x^2 + x + 1))))
%o (PARI) polrootsreal(4096*x^12  8192*x^10 + 7680*x^8  4480*x^6  368*x^4  312*x^2 + 257)[4] \\ _Charles R Greathouse IV_, Oct 27 2023
%Y Cf. A366162, A366163.
%K nonn,cons
%O 1,3
%A _Hugo Pfoertner_, Oct 02 2023
