After much time has passed:

i read somewhere that a japh is supposed to fit on 4 lines or less. Hmmm, i didn't know that when i first posted this. In deference to the rules, here is an updated version. The output has changed tremendously, and is now only useful if piped to a file :(

#!/usr/local/bin/perl

($j,$a,$p,@h)=($ARGV[0]||68,-1,1,1,2);for(;$j>@h;){$==1;$a++;do{do{$;=
+1;$_==$
p&&next,($*=$=**2+$=+$h[$a])%$_ or$;=0,$_**2>$*-1&&last for@h;$;}?@h=s
+ort{$a
<=>$b}keys%{{map{$_,1}@h,$=**2+$=+$h[$a]}}:8}while++$=<$h[$a]-1}shift@
+h;print
!@ARGV?map{chr}$h[23]+$h[6],$h[24],$h[2]+$h[27],$h[1]+$h[25]:(map$_.$/
+,@h),$/
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jynx