Dirichlet character \(\chi_{1060}(43,\cdot)\)

• Label: 1060.43
• Modulus: $1060$
• Conductor: $1060$
• Order: $52$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1060\)
Conductor:	\(1060\)
Order:	\(52\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1060.bj

\(\chi_{1060}(7,\cdot)\) \(\chi_{1060}(43,\cdot)\) \(\chi_{1060}(123,\cdot)\) \(\chi_{1060}(143,\cdot)\) \(\chi_{1060}(163,\cdot)\) \(\chi_{1060}(223,\cdot)\) \(\chi_{1060}(303,\cdot)\) \(\chi_{1060}(327,\cdot)\) \(\chi_{1060}(343,\cdot)\) \(\chi_{1060}(347,\cdot)\) \(\chi_{1060}(467,\cdot)\) \(\chi_{1060}(483,\cdot)\) \(\chi_{1060}(547,\cdot)\) \(\chi_{1060}(567,\cdot)\) \(\chi_{1060}(587,\cdot)\) \(\chi_{1060}(623,\cdot)\) \(\chi_{1060}(643,\cdot)\) \(\chi_{1060}(647,\cdot)\) \(\chi_{1060}(727,\cdot)\) \(\chi_{1060}(767,\cdot)\) \(\chi_{1060}(907,\cdot)\) \(\chi_{1060}(963,\cdot)\) \(\chi_{1060}(983,\cdot)\) \(\chi_{1060}(1047,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{52})$
Fixed field:	Number field defined by a degree 52 polynomial

Values on generators

\((531,637,161)\) → \((-1,-i,e\left(\frac{11}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\( \chi_{ 1060 }(43, a) \)	\(1\)	\(1\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(i\)	\(e\left(\frac{43}{52}\right)\)