The Conjugate Function of the Shifted Square Wave

The Number of Series Terms Added in Each Run
Prec.	Fourier Series		Center Series		Ratios FS/CS
Req.	Average	Maximum	Average	Maximum	Average	Maximum
$10^{-3}$	$751.81$	$3246$	$35.36$	$634$	$21.26$	$5.12$
$10^{-4}$	$7431.74$	$31495$	$113.15$	$1626$	$65.68$	$9.37$
$10^{-5}$	$74074.90$	$317245$	$360.30$	$5121$	$205.59$	$61.95$
$10^{-6}$	$740331.15$	$3179995$	$1133.10$	$15620$	$653.37$	$203.58$
$10^{-7}$	$7402853.82$	$31804995$	$3577.10$	$49119$	$2069.51$	$647.51$
$10^{-8}$	$74022964.40$	$317512995$	$11274.26$	$152369$	$6565.66$	$2083.84$

The Time of Each Run in Seconds
Precision Required	Fourier Series Time	Center Series Time	Ratios FS/CS
$10^{-3}$	$0.10$	$0.00$	N/A
$10^{-4}$	$0.97$	$0.02$	$48.5$
$10^{-5}$	$9.83$	$0.04$	$245.75$
$10^{-6}$	$100.74$	$0.15$	$671.6$
$10^{-7}$	$1029.30$	$0.48$	$2144.38$
$10^{-8}$	$44713.05$	$1.56$	$28662.21$