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%gp
ii
=
Mod
(
x
,
x
^2
+
1
)
2
+
ii
Mod(x, x^2 + 1) Mod(x + 2, x^2 + 1)
%gp
(
2.5
+
I
)
^2
5.2500000000000000000000000000000000000 + 5.0000000000000000000000000000000000000*I
s
=
2
+
QuadraticField
(
-
1
)
.0
pari
(
s
)
Mod(y + 2, y^2 + 1)
(
2.5
+
I
)
^
2
5.25000000000000 + 5.00000000000000*I