Stability for m=4, q=16, S=[1, 15], dps=100
  nmax= 30: logK=-5.65994975207997580171402473296504442245750092e-29  K=0.9999999999999999999999999999434005  Im=0.0
  nmax= 40: logK=-2.56197851408213398623664392190796013523644611e-56  K=1.0  Im=0.0
  nmax= 50: logK=-2.56197851408213398623664392190796013523644611e-56  K=1.0  Im=0.0
  nmax= 60: logK=-2.56197851408213398623664392190796013523644611e-56  K=1.0  Im=0.0