Pi(n,phi,m) for n=2, phi=1+k*pi, m=1/2
Mathematica (10.3.1 Linux/ARM)
   k=0    0.704583746768798 - 1.813799364234218 I
   k=8    0.704583746768798 - 1.813799364234218 I
   k=-4   0.704583746768798 - 1.813799364234218 I
MPMath
   k=0    0.70458374676879831  -1.813799364234217 I
   k=8   -4.3121311886741438  -30.834589191981706 I
   k=-4   3.212941214490268    12.696595549639525 I
Maxima
   k=0    0.7045837467687983
   k=8   -4.312131188674136
   k=-4   3.212941214490266