p=5 q=25: #E(F_q)=32 = N(pi^2-1), pi=-1-2i; nonzero Y: 1023; explicit M in SL_2(Z[i]) with M.Y = pi(Y) verified: 1023; max |entry|^2 = 75961
p=5 q=125: #E(F_q)=104 = N(pi^3-1), pi=-1-2i; nonzero Y: 10815; explicit M in SL_2(Z[i]) with M.Y = pi(Y) verified: 10815; max |entry|^2 = 1270306900
p=13 q=169: #E(F_q)=160 = N(pi^2-1), pi=3+2i; nonzero Y: 25599; explicit M in SL_2(Z[i]) with M.Y = pi(Y) verified: 25599; max |entry|^2 = 325673620
p=5 q=625: #E(F_q)=640 = N(pi^4-1), pi=-1-2i; nonzero Y: 409599; explicit M in SL_2(Z[i]) with M.Y = pi(Y) verified: 409599; max |entry|^2 = 57860121892
p=17 q=289: #E(F_q)=320 = N(pi^2-1), pi=1+4i; nonzero Y: 102399; explicit M in SL_2(Z[i]) with M.Y = pi(Y) verified: 102399; max |entry|^2 = 720468548
