Dirichlet character \(\chi_{164025}(14,\cdot)\)

• Label: 164025.14
• Modulus: $164025$
• Conductor: $164025$
• Order: $21870$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(164025\)
Conductor:	\(164025\)
Order:	\(21870\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 164025.dn

\(\chi_{164025}(14,\cdot)\) \(\chi_{164025}(29,\cdot)\) \(\chi_{164025}(59,\cdot)\) \(\chi_{164025}(104,\cdot)\) \(\chi_{164025}(119,\cdot)\) \(\chi_{164025}(164,\cdot)\) \(\chi_{164025}(194,\cdot)\) \(\chi_{164025}(209,\cdot)\) \(\chi_{164025}(239,\cdot)\) \(\chi_{164025}(254,\cdot)\) \(\chi_{164025}(284,\cdot)\) \(\chi_{164025}(329,\cdot)\) \(\chi_{164025}(344,\cdot)\) \(\chi_{164025}(389,\cdot)\) \(\chi_{164025}(419,\cdot)\) \(\chi_{164025}(434,\cdot)\) \(\chi_{164025}(464,\cdot)\) \(\chi_{164025}(479,\cdot)\) \(\chi_{164025}(509,\cdot)\) \(\chi_{164025}(554,\cdot)\) \(\chi_{164025}(569,\cdot)\) \(\chi_{164025}(614,\cdot)\) \(\chi_{164025}(644,\cdot)\) \(\chi_{164025}(659,\cdot)\) \(\chi_{164025}(689,\cdot)\) \(\chi_{164025}(704,\cdot)\) \(\chi_{164025}(734,\cdot)\) \(\chi_{164025}(779,\cdot)\) \(\chi_{164025}(794,\cdot)\) \(\chi_{164025}(839,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{10935})$
Fixed field:	Number field defined by a degree 21870 polynomial (not computed)

Values on generators

\((59051,104977)\) → \((e\left(\frac{1853}{4374}\right),e\left(\frac{3}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 164025 }(14, a) \)	\(-1\)	\(1\)	\(e\left(\frac{7913}{10935}\right)\)	\(e\left(\frac{4891}{10935}\right)\)	\(e\left(\frac{353}{4374}\right)\)	\(e\left(\frac{623}{3645}\right)\)	\(e\left(\frac{19951}{21870}\right)\)	\(e\left(\frac{17339}{21870}\right)\)	\(e\left(\frac{17591}{21870}\right)\)	\(e\left(\frac{9782}{10935}\right)\)	\(e\left(\frac{778}{3645}\right)\)	\(e\left(\frac{428}{3645}\right)\)