[],
"Warning: some commands like subs might change arguments order",
0,0,0,1,0,1e-10,10,[1,50,0,25],0,0,0,
{1,4,5,6,7},
"Done",
0,
3,
8,
2,
"Warning: some commands like subs might change arguments order",
1,
ln(e),
"Warning: some commands like subs might change arguments order",
2.718281828,
"Warning: some commands like subs might change arguments order",
2.718281828,
1,
1,
proc(n) 
  i:=3;  
  a:=0;  
  SQ:=evalf(sqrt(n));  
  while i<SQ do  
    if (irem(n,i))<>0 then  
      i:=i+2 else  
      a:=i; 
      i:=n 
    fi ; 
   od;;  
  if a<>0 then  
    a else  
    n 
  fi ;  
 
end;,
4,
328032433,
15439,
5,
21218879939,
105437,
proc(n) 
  local x,y; 
  x:=1;  
  y:=x^2+1;  
  while member(igcd(y-x,n),{1,n}) do  
    x:=irem(x^2+1,n); 
    y:=irem((y^2+1)^2+1,n); 
   od;;  
  igcd(y-x,n);  
 
end;,
"Done",
1000003,
"Done",
100000837,
proc(n) 
  local x,y,j; 
  x:=1;  
  y:=x^2+1;  
  j:=0;  
  while member(igcd(y-x,n),{1,n}) do  
    x:=irem(x^2+1,n); 
    y:=irem((y^2+1)^2+1,n); 
    j:=j+1; 
   od;;  
  evalf(j/(sqrt(igcd(y-x,n))));  
 
end;,
[],
[0.7986208585,0.9878783399,1.013004447,0.8535950652,0.3255153835,1.497078868,1.12367198,0.9878783399,1.027314262,0.2322012897,0.334491606,0.8945202781,1.182904911,1.161101553,0.6173889037,0.5162071565,0.4357752317,0.8575000744,0.7457392124,2.071411209,0.4585946144,0.7336093941,0.9318344006,0.9657369075,1.646061612,1.632254274,0.7960076979,1.447519769,1.501543756,0.7752618191,2.010554083,0.9869723081,1.452206524,1.201730844,0.8282126259,0.4748462437,0.2068678395,0.6073406343,0.884690237,0.8380854603,1.485043914,1.39913588,0.6833508053,0.9304893284,0.2681675272,1.29146573,1.487123965,1.110307532,0.4640559186,0.6155374813,0.8786924454,1.151705177,1.232424972,0.6561924334,0.9407065781,1.008676215,1.494339777,1.266414429,1.522366997,0.7720465938,0.3161250195,0.5452392433,1.440783901,0.5900174743,1.043849436,0.8994326437,0.8422873508,0.768769426,0.8070957352,0.4676176951,0.7523674814,1.881124651],
pnt(pnt[group[1.0+0.7986208585*I,2.0+0.9878783399*I,3.0+1.013004447*I,4.0+0.8535950652*I,5.0+0.3255153835*I,6.0+1.497078868*I,7.0+1.12367198*I,8.0+0.9878783399*I,9.0+1.027314262*I,10.0+0.2322012897*I,11.0+0.334491606*I,12.0+0.8945202781*I,13.0+1.182904911*I,14.0+1.161101553*I,15.0+0.6173889037*I,16.0+0.5162071565*I,17.0+0.4357752317*I,18.0+0.8575000744*I,19.0+0.7457392124*I,20.0+2.071411209*I,21.0+0.4585946144*I,22.0+0.7336093941*I,23.0+0.9318344006*I,24.0+0.9657369075*I,25.0+1.646061612*I,26.0+1.632254274*I,27.0+0.7960076979*I,28.0+1.447519769*I,29.0+1.501543756*I,30.0+0.7752618191*I,31.0+2.010554083*I,32.0+0.9869723081*I,33.0+1.452206524*I,34.0+1.201730844*I,35.0+0.8282126259*I,36.0+0.4748462437*I,37.0+0.2068678395*I,38.0+0.6073406343*I,39.0+0.884690237*I,40.0+0.8380854603*I,41.0+1.485043914*I,42.0+1.39913588*I,43.0+0.6833508053*I,44.0+0.9304893284*I,45.0+0.2681675272*I,46.0+1.29146573*I,47.0+1.487123965*I,48.0+1.110307532*I,49.0+0.4640559186*I,50.0+0.6155374813*I,51.0+0.8786924454*I,52.0+1.151705177*I,53.0+1.232424972*I,54.0+0.6561924334*I,55.0+0.9407065781*I,56.0+1.008676215*I,57.0+1.494339777*I,58.0+1.266414429*I,59.0+1.522366997*I,60.0+0.7720465938*I,61.0+0.3161250195*I,62.0+0.5452392433*I,63.0+1.440783901*I,64.0+0.5900174743*I,65.0+1.043849436*I,66.0+0.8994326437*I,67.0+0.8422873508*I,68.0+0.768769426*I,69.0+0.8070957352*I,70.0+0.4676176951*I,71.0+0.7523674814*I,72.0+1.881124651*I],0]),
 (i)->product(1-(j/p),j=(1 .. (i-1))),
2,
-1,
-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
1.177410023,
54321123,
10007,
proc(n,a,c) 
  local x,y; 
  x:=1;  
  y:=irem(a*x+c,n);  
  j:=0;  
  while member(igcd(y-x,n),{1,n}) do  
    x:=irem(a*x+c,n); 
    y:=irem(a*(a*y+c)+c,n); 
    j:=j+1; 
   od;;  
  evalf(j/(sqrt(igcd(y-x,n))));  
 
end;,
[],
22,
[0.130188911,3.049971407,0.5773502692,1.30243429,7.533900494,13.35114712,2.971076195,19.31971793,20.35316567,3.871132963,22.03976303,10.48797049,72.34120615,77.82333987,560.0580327,361.9153907],
pnt(pnt[group[1.0+0.130188911*I,2.0+3.049971407*I,3.0+0.5773502692*I,4.0+1.30243429*I,5.0+7.533900494*I,6.0+13.35114712*I,7.0+2.971076195*I,8.0+19.31971793*I,9.0+20.35316567*I,10.0+3.871132963*I,11.0+22.03976303*I,12.0+10.48797049*I,13.0+72.34120615*I,14.0+77.82333987*I,15.0+560.0580327*I,16.0+361.9153907*I],0]),
"Done",
[pnt(pnt[line[0.0,0.42*I,1.0+0.42*I,1.0,0.0],0]),pnt(pnt[line[1.0,1.0+0.58*I,2.0+0.58*I,2.0,1.0],0])],
"Done",
[pnt(pnt[line[0.0,0.501*I,1.0+0.501*I,1.0,0.0],0]),pnt(pnt[line[1.0,1.0+0.499*I,2.0+0.499*I,2.0,1.0],0])],
2000009000009,
 (n)->if n=0 then  
  2 else  
  irem((u(n-1))^2+1,N) 
fi ,
1997309223146,
proc(n,M) 
  local x,l; 
  x:=12345;  
  l:=[];  
  for i from 1 to M+abs(1)/2 by abs(1) do  
  x:=irem(x^2+1,n); 
  l:=[op(l),x]; 
   od;;  
  l;  
 
end;,
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"Done",
"Done",
1000003,
"Done",
100001029,
100001029