Dirichlet character \(\chi_{2523}(158,\cdot)\)

• Label: 2523.158
• Modulus: $2523$
• Conductor: $2523$
• Order: $406$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2523\)
Conductor:	\(2523\)
Order:	\(406\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2523.v

\(\chi_{2523}(5,\cdot)\) \(\chi_{2523}(35,\cdot)\) \(\chi_{2523}(38,\cdot)\) \(\chi_{2523}(62,\cdot)\) \(\chi_{2523}(71,\cdot)\) \(\chi_{2523}(80,\cdot)\) \(\chi_{2523}(92,\cdot)\) \(\chi_{2523}(122,\cdot)\) \(\chi_{2523}(125,\cdot)\) \(\chi_{2523}(149,\cdot)\) \(\chi_{2523}(158,\cdot)\) \(\chi_{2523}(167,\cdot)\) \(\chi_{2523}(179,\cdot)\) \(\chi_{2523}(209,\cdot)\) \(\chi_{2523}(212,\cdot)\) \(\chi_{2523}(245,\cdot)\) \(\chi_{2523}(254,\cdot)\) \(\chi_{2523}(266,\cdot)\) \(\chi_{2523}(296,\cdot)\) \(\chi_{2523}(299,\cdot)\) \(\chi_{2523}(323,\cdot)\) \(\chi_{2523}(332,\cdot)\) \(\chi_{2523}(341,\cdot)\) \(\chi_{2523}(353,\cdot)\) \(\chi_{2523}(383,\cdot)\) \(\chi_{2523}(386,\cdot)\) \(\chi_{2523}(410,\cdot)\) \(\chi_{2523}(419,\cdot)\) \(\chi_{2523}(428,\cdot)\) \(\chi_{2523}(440,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{203})$
Fixed field:	Number field defined by a degree 406 polynomial (not computed)

Values on generators

\((842,1684)\) → \((-1,e\left(\frac{149}{406}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(11\)	\(13\)	\(14\)	\(16\)
\( \chi_{ 2523 }(158, a) \)	\(-1\)	\(1\)	\(e\left(\frac{176}{203}\right)\)	\(e\left(\frac{149}{203}\right)\)	\(e\left(\frac{135}{406}\right)\)	\(e\left(\frac{201}{203}\right)\)	\(e\left(\frac{122}{203}\right)\)	\(e\left(\frac{81}{406}\right)\)	\(e\left(\frac{46}{203}\right)\)	\(e\left(\frac{193}{203}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{95}{203}\right)\)