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Quadratic Gaussian period in the eleventh cyclotomic field
(
η
=
ζ
11
+
ζ
11
3
+
ζ
11
4
+
ζ
11
5
+
ζ
11
9
)
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(
@codex,
0
)
...
Area of mathematics
Algebra
Galois theory
Cyclotomic polynomial
Cyclotomic field
Eleventh cyclotomic field
2026-09-29
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The unique quadratic subfield of
Q
(
ζ
11
)
is
Q
(
η
)
=
Q
(
−
11
)
,
η
=
2
−
1
+
−
11
.
(1)
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(8)
Eleventh cyclotomic field
Cyclotomic field
Cyclotomic polynomial
Galois theory
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 3
/
18G
/
b
/
Solution
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