The Conjugate Function of the Standard 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
$10^{-3}$	$752.57$	$3246$	$35.40$	$634$	$21.26$	$5.12$
$10^{-4}$	$7439.19$	$31495$	$113.26$	$1626$	$65.68$	$19.37$
$10^{-5}$	$74149.12$	$317245$	$360.66$	$5121$	$205.59$	$61.95$
$10^{-6}$	$741072.71$	$3179995$	$1134.23$	$15620$	$653.37$	$203.58$
$10^{-7}$	$7410279.77$	$31805495$	$3580.69$	$49119$	$2069.51$	$647.52$
$10^{-8}$	$74098529.06$	$317815995$	$11285.56$	$152369$	$6565.78$	$2085.83$

The Time of Each Run in Seconds
Precision Required	Fourier Series Time	Center Series Time	Ratios FS/CS
$10^{-3}$	$0.06$	$0.00$	N/A
$10^{-4}$	$0.58$	$0.01$	$58.00$
$10^{-5}$	$5.75$	$0.03$	$191.67$
$10^{-6}$	$57.95$	$0.09$	$643.89$
$10^{-7}$	$924.20$	$0.30$	$3080.67$
$10^{-8}$	$23562.93$	$0.92$	$25611.88$