Let E be an elliptic curve of conductor <= 539, and let r and 
deg(phi) be the congruence modulus and modular degree of E. 
The data below gives 
 
   N_E, ord_p(r / deg(phi)), ord_p(N), and ord_p(N) - ord_p(r/deg(phi)).

In all cases, ord_p(r/deg(phi)) <= ord_p(N) - 1.

The table is divided into three subtables.  The first gives
the above data for p=2, the second for p=3, and the third
for all primes p>=5. 


The table was created using the following MAGMA program:
//////////////////////////////////////////////////
load "degphi_r_table.m";
procedure analysis2(N,d,ell)
   for E in d do
      if E[2] ne E[3] then
         dif := E[3] div E[2];
         for p in Factorization(dif) do
            if p[1] eq ell or (ell eq 0 and p[1] gt 3) then
               printf 
                 "N=%o: ord_{%o}(r/deg(phi))=%o, ord_{%o}(N)=%o, diff=%o\n",
                      N, p[1],p[2], p[1], Valuation(N,p[1]), 
                           Valuation(N,p[1])-p[2];
            end if;
         end for;
      end if;
   end for;
end procedure;

procedure iterate(ell)
   for N in [1..#dat] do
      if not (dat[N] cmpeq []) then
         analysis2(N,dat[N],ell);
      end if;
   end for;
end procedure;

"ell = 2";
iterate(2);
"\n\nell = 3";
iterate(3);
"\n\nell > 3";
iterate(0);
//////////////////////////////////////////////////

This is the output it produces:

ell = 2
N=64: ord_{2}(r/deg(phi))=1, ord_{2}(N)=6, diff=5
N=72: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=80: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=88: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=92: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=96: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=96: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=112: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=112: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=112: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=120: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=124: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=128: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=128: ord_{2}(r/deg(phi))=2, ord_{2}(N)=7, diff=5
N=128: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=128: ord_{2}(r/deg(phi))=2, ord_{2}(N)=7, diff=5
N=144: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=144: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=152: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=160: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=160: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=168: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=168: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=176: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=176: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=176: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=184: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=184: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=184: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=192: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=192: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=192: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=192: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=200: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=200: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=200: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=208: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=208: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=208: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=216: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=216: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=224: ord_{2}(r/deg(phi))=2, ord_{2}(N)=5, diff=3
N=224: ord_{2}(r/deg(phi))=2, ord_{2}(N)=5, diff=3
N=236: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=240: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=240: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=240: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=240: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=248: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=248: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=256: ord_{2}(r/deg(phi))=3, ord_{2}(N)=8, diff=5
N=256: ord_{2}(r/deg(phi))=2, ord_{2}(N)=8, diff=6
N=256: ord_{2}(r/deg(phi))=3, ord_{2}(N)=8, diff=5
N=256: ord_{2}(r/deg(phi))=2, ord_{2}(N)=8, diff=6
N=260: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=264: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=272: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=272: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=272: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=272: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=280: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=280: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=288: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=288: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=288: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=288: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=288: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=296: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=296: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=304: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=304: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=304: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=304: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=304: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=304: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=312: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=312: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=312: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=312: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=312: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=312: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=320: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=320: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=320: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=320: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=320: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=320: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=336: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=336: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=336: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=336: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=336: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=336: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=340: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=344: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=348: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=348: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=352: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=352: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=352: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=352: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=352: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=352: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=360: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=360: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=368: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=368: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=368: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=368: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=368: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=368: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=368: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=384: ord_{2}(r/deg(phi))=3, ord_{2}(N)=7, diff=4
N=392: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=392: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=392: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=392: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=400: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=408: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=408: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=416: ord_{2}(r/deg(phi))=2, ord_{2}(N)=5, diff=3
N=416: ord_{2}(r/deg(phi))=2, ord_{2}(N)=5, diff=3
N=428: ord_{2}(r/deg(phi))=1, ord_{2}(N)=2, diff=1
N=432: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=432: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=432: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=432: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=432: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=432: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=432: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=432: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=440: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=440: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=440: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=448: ord_{2}(r/deg(phi))=2, ord_{2}(N)=6, diff=4
N=456: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=456: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=464: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=464: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=464: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=464: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=464: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=464: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=472: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=480: ord_{2}(r/deg(phi))=1, ord_{2}(N)=5, diff=4
N=496: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=496: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=496: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=496: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=496: ord_{2}(r/deg(phi))=2, ord_{2}(N)=4, diff=2
N=496: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=504: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=504: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=504: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=504: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=504: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=504: ord_{2}(r/deg(phi))=1, ord_{2}(N)=3, diff=2
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3
N=528: ord_{2}(r/deg(phi))=1, ord_{2}(N)=4, diff=3


ell = 3
N=54: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=99: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=108: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=126: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=135: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=153: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=153: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=162: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=162: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=162: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=162: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=171: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=189: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=189: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=189: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=216: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=216: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=234: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=234: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=234: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=243: ord_{3}(r/deg(phi))=2, ord_{3}(N)=5, diff=3
N=243: ord_{3}(r/deg(phi))=1, ord_{3}(N)=5, diff=4
N=270: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=270: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=270: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=288: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=288: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=297: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=297: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=315: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=324: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=324: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=324: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=324: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=333: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=333: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=333: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=342: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=342: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=360: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=360: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=378: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=378: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=378: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=378: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=378: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=378: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=387: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=405: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=405: ord_{3}(r/deg(phi))=2, ord_{3}(N)=4, diff=2
N=405: ord_{3}(r/deg(phi))=2, ord_{3}(N)=4, diff=2
N=405: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=405: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=405: ord_{3}(r/deg(phi))=1, ord_{3}(N)=4, diff=3
N=414: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=423: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=432: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=432: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=432: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=432: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=432: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=432: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=441: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=459: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=459: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=459: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=459: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=468: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=468: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=477: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=486: ord_{3}(r/deg(phi))=2, ord_{3}(N)=5, diff=3
N=486: ord_{3}(r/deg(phi))=2, ord_{3}(N)=5, diff=3
N=486: ord_{3}(r/deg(phi))=1, ord_{3}(N)=5, diff=4
N=486: ord_{3}(r/deg(phi))=2, ord_{3}(N)=5, diff=3
N=486: ord_{3}(r/deg(phi))=2, ord_{3}(N)=5, diff=3
N=486: ord_{3}(r/deg(phi))=1, ord_{3}(N)=5, diff=4
N=495: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=504: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=504: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=504: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=513: ord_{3}(r/deg(phi))=1, ord_{3}(N)=3, diff=2
N=522: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=522: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1
N=522: ord_{3}(r/deg(phi))=1, ord_{3}(N)=2, diff=1


ell > 3
N=147: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=150: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=175: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=196: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=200: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=200: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=225: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=242: ord_{11}(r/deg(phi))=1, ord_{11}(N)=2, diff=1
N=245: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=275: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=294: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=294: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=294: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=300: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=300: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=325: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=338: ord_{13}(r/deg(phi))=1, ord_{13}(N)=2, diff=1
N=338: ord_{13}(r/deg(phi))=1, ord_{13}(N)=2, diff=1
N=350: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=350: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=350: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=363: ord_{11}(r/deg(phi))=1, ord_{11}(N)=2, diff=1
N=392: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=392: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=400: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=400: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=425: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=425: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=441: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=441: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=450: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=475: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=475: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=490: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=490: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=490: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=490: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=490: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1
N=507: ord_{13}(r/deg(phi))=1, ord_{13}(N)=2, diff=1
N=525: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=525: ord_{5}(r/deg(phi))=1, ord_{5}(N)=2, diff=1
N=539: ord_{7}(r/deg(phi))=1, ord_{7}(N)=2, diff=1