Dirichlet character \(\chi_{164025}(263,\cdot)\)

• Label: 164025.263
• Modulus: $164025$
• Conductor: $164025$
• Order: $43740$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 164025.dq

\(\chi_{164025}(2,\cdot)\) \(\chi_{164025}(23,\cdot)\) \(\chi_{164025}(38,\cdot)\) \(\chi_{164025}(47,\cdot)\) \(\chi_{164025}(77,\cdot)\) \(\chi_{164025}(83,\cdot)\) \(\chi_{164025}(92,\cdot)\) \(\chi_{164025}(113,\cdot)\) \(\chi_{164025}(122,\cdot)\) \(\chi_{164025}(128,\cdot)\) \(\chi_{164025}(137,\cdot)\) \(\chi_{164025}(158,\cdot)\) \(\chi_{164025}(167,\cdot)\) \(\chi_{164025}(173,\cdot)\) \(\chi_{164025}(203,\cdot)\) \(\chi_{164025}(212,\cdot)\) \(\chi_{164025}(227,\cdot)\) \(\chi_{164025}(248,\cdot)\) \(\chi_{164025}(263,\cdot)\) \(\chi_{164025}(272,\cdot)\) \(\chi_{164025}(302,\cdot)\) \(\chi_{164025}(308,\cdot)\) \(\chi_{164025}(317,\cdot)\) \(\chi_{164025}(338,\cdot)\) \(\chi_{164025}(347,\cdot)\) \(\chi_{164025}(353,\cdot)\) \(\chi_{164025}(362,\cdot)\) \(\chi_{164025}(383,\cdot)\) \(\chi_{164025}(392,\cdot)\) \(\chi_{164025}(398,\cdot)\) ...

Related number fields

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

Values on generators

\((59051,104977)\) → \((e\left(\frac{1321}{4374}\right),e\left(\frac{19}{20}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 164025 }(263, a) \)	\(1\)	\(1\)	\(e\left(\frac{11023}{43740}\right)\)	\(e\left(\frac{11023}{21870}\right)\)	\(e\left(\frac{665}{8748}\right)\)	\(e\left(\frac{11023}{14580}\right)\)	\(e\left(\frac{2489}{21870}\right)\)	\(e\left(\frac{9047}{43740}\right)\)	\(e\left(\frac{3587}{10935}\right)\)	\(e\left(\frac{88}{10935}\right)\)	\(e\left(\frac{14333}{14580}\right)\)	\(e\left(\frac{1019}{7290}\right)\)