Dirichlet character \(\chi_{164025}(412,\cdot)\)

• Label: 164025.412
• Modulus: $164025$
• Conductor: $164025$
• Order: $43740$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(164025\)
Conductor:	\(164025\)
Order:	\(43740\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 164025.dr

\(\chi_{164025}(13,\cdot)\) \(\chi_{164025}(22,\cdot)\) \(\chi_{164025}(52,\cdot)\) \(\chi_{164025}(58,\cdot)\) \(\chi_{164025}(67,\cdot)\) \(\chi_{164025}(88,\cdot)\) \(\chi_{164025}(97,\cdot)\) \(\chi_{164025}(103,\cdot)\) \(\chi_{164025}(112,\cdot)\) \(\chi_{164025}(133,\cdot)\) \(\chi_{164025}(142,\cdot)\) \(\chi_{164025}(148,\cdot)\) \(\chi_{164025}(178,\cdot)\) \(\chi_{164025}(187,\cdot)\) \(\chi_{164025}(202,\cdot)\) \(\chi_{164025}(223,\cdot)\) \(\chi_{164025}(238,\cdot)\) \(\chi_{164025}(247,\cdot)\) \(\chi_{164025}(277,\cdot)\) \(\chi_{164025}(283,\cdot)\) \(\chi_{164025}(292,\cdot)\) \(\chi_{164025}(313,\cdot)\) \(\chi_{164025}(322,\cdot)\) \(\chi_{164025}(328,\cdot)\) \(\chi_{164025}(337,\cdot)\) \(\chi_{164025}(358,\cdot)\) \(\chi_{164025}(367,\cdot)\) \(\chi_{164025}(373,\cdot)\) \(\chi_{164025}(403,\cdot)\) \(\chi_{164025}(412,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{43740})$
Fixed field:	Number field defined by a degree 43740 polynomial (not computed)

Values on generators

\((59051,104977)\) → \((e\left(\frac{1142}{2187}\right),e\left(\frac{9}{20}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 164025 }(412, a) \)	\(-1\)	\(1\)	\(e\left(\frac{42523}{43740}\right)\)	\(e\left(\frac{20653}{21870}\right)\)	\(e\left(\frac{2807}{8748}\right)\)	\(e\left(\frac{13363}{14580}\right)\)	\(e\left(\frac{4597}{10935}\right)\)	\(e\left(\frac{35057}{43740}\right)\)	\(e\left(\frac{6409}{21870}\right)\)	\(e\left(\frac{9718}{10935}\right)\)	\(e\left(\frac{10913}{14580}\right)\)	\(e\left(\frac{1109}{7290}\right)\)