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