Dirichlet character \(\chi_{2675}(129,\cdot)\)

• Label: 2675.129
• Modulus: $2675$
• Conductor: $2675$
• Order: $530$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2675\)
Conductor:	\(2675\)
Order:	\(530\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2675.v

\(\chi_{2675}(54,\cdot)\) \(\chi_{2675}(59,\cdot)\) \(\chi_{2675}(84,\cdot)\) \(\chi_{2675}(94,\cdot)\) \(\chi_{2675}(104,\cdot)\) \(\chi_{2675}(109,\cdot)\) \(\chi_{2675}(114,\cdot)\) \(\chi_{2675}(129,\cdot)\) \(\chi_{2675}(139,\cdot)\) \(\chi_{2675}(179,\cdot)\) \(\chi_{2675}(184,\cdot)\) \(\chi_{2675}(189,\cdot)\) \(\chi_{2675}(204,\cdot)\) \(\chi_{2675}(219,\cdot)\) \(\chi_{2675}(229,\cdot)\) \(\chi_{2675}(234,\cdot)\) \(\chi_{2675}(259,\cdot)\) \(\chi_{2675}(264,\cdot)\) \(\chi_{2675}(269,\cdot)\) \(\chi_{2675}(279,\cdot)\) \(\chi_{2675}(284,\cdot)\) \(\chi_{2675}(294,\cdot)\) \(\chi_{2675}(309,\cdot)\) \(\chi_{2675}(329,\cdot)\) \(\chi_{2675}(339,\cdot)\) \(\chi_{2675}(359,\cdot)\) \(\chi_{2675}(364,\cdot)\) \(\chi_{2675}(379,\cdot)\) \(\chi_{2675}(384,\cdot)\) \(\chi_{2675}(389,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{265})$
Fixed field:	Number field defined by a degree 530 polynomial (not computed)

Values on generators

\((1927,751)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{23}{106}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 2675 }(129, a) \)	\(-1\)	\(1\)	\(e\left(\frac{84}{265}\right)\)	\(e\left(\frac{471}{530}\right)\)	\(e\left(\frac{168}{265}\right)\)	\(e\left(\frac{109}{530}\right)\)	\(e\left(\frac{44}{53}\right)\)	\(e\left(\frac{252}{265}\right)\)	\(e\left(\frac{206}{265}\right)\)	\(e\left(\frac{99}{265}\right)\)	\(e\left(\frac{277}{530}\right)\)	\(e\left(\frac{497}{530}\right)\)