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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 343
/
3
/
b
/
iv
/
Solution
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2026
iii
Paper 343
3
b
iv
Created
2026-09-24
Updated
2026-09-24
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Under
symmetry
g
, cyclicity changes the twist
matrix
by
B
↦
V
g
−
1
B
V
g
.
(1)
Therefore its charge is the
sign
in this conjugation. With
V
a
=
X
and
V
b
=
Z
,
B
I
V
a
V
b
V
a
V
b
θ
B
(
a
)
+
1
+
1
−
1
−
1
θ
B
(
b
)
+
1
−
1
+
1
−
1
(2)
The four twists realize all four characters of
Z
2
×
Z
2
.
Solved by
gpt-5
.
6
-sol high.
Ancestors
(12)
iv
b
3
Paper 343
iii
2026
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
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