Dirichlet character \(\chi_{54675}(31477,\cdot)\)

• Label: 54675.31477
• Modulus: $54675$
• Conductor: $54675$
• Order: $14580$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(54675\)
Conductor:	\(54675\)
Order:	\(14580\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 54675.de

\(\chi_{54675}(13,\cdot)\) \(\chi_{54675}(22,\cdot)\) \(\chi_{54675}(52,\cdot)\) \(\chi_{54675}(58,\cdot)\) \(\chi_{54675}(67,\cdot)\) \(\chi_{54675}(88,\cdot)\) \(\chi_{54675}(97,\cdot)\) \(\chi_{54675}(103,\cdot)\) \(\chi_{54675}(112,\cdot)\) \(\chi_{54675}(133,\cdot)\) \(\chi_{54675}(142,\cdot)\) \(\chi_{54675}(148,\cdot)\) \(\chi_{54675}(178,\cdot)\) \(\chi_{54675}(187,\cdot)\) \(\chi_{54675}(202,\cdot)\) \(\chi_{54675}(223,\cdot)\) \(\chi_{54675}(238,\cdot)\) \(\chi_{54675}(247,\cdot)\) \(\chi_{54675}(277,\cdot)\) \(\chi_{54675}(283,\cdot)\) \(\chi_{54675}(292,\cdot)\) \(\chi_{54675}(313,\cdot)\) \(\chi_{54675}(322,\cdot)\) \(\chi_{54675}(328,\cdot)\) \(\chi_{54675}(337,\cdot)\) \(\chi_{54675}(358,\cdot)\) \(\chi_{54675}(367,\cdot)\) \(\chi_{54675}(373,\cdot)\) \(\chi_{54675}(403,\cdot)\) \(\chi_{54675}(412,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{14580})$
Fixed field:	Number field defined by a degree 14580 polynomial (not computed)

Values on generators

\((4376,50302)\) → \((e\left(\frac{664}{729}\right),e\left(\frac{1}{20}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 54675 }(31477, a) \)	\(-1\)	\(1\)	\(e\left(\frac{14009}{14580}\right)\)	\(e\left(\frac{6719}{7290}\right)\)	\(e\left(\frac{349}{2916}\right)\)	\(e\left(\frac{4289}{4860}\right)\)	\(e\left(\frac{851}{3645}\right)\)	\(e\left(\frac{9931}{14580}\right)\)	\(e\left(\frac{587}{7290}\right)\)	\(e\left(\frac{3074}{3645}\right)\)	\(e\left(\frac{3439}{4860}\right)\)	\(e\left(\frac{1327}{2430}\right)\)