Dirichlet character \(\chi_{26752}(3485,\cdot)\)

• Label: 26752.3485
• Modulus: $26752$
• Conductor: $26752$
• Order: $480$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(26752\)
Conductor:	\(26752\)
Order:	\(480\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 26752.kg

\(\chi_{26752}(69,\cdot)\) \(\chi_{26752}(141,\cdot)\) \(\chi_{26752}(445,\cdot)\) \(\chi_{26752}(597,\cdot)\) \(\chi_{26752}(829,\cdot)\) \(\chi_{26752}(1285,\cdot)\) \(\chi_{26752}(1357,\cdot)\) \(\chi_{26752}(1589,\cdot)\) \(\chi_{26752}(1741,\cdot)\) \(\chi_{26752}(1813,\cdot)\) \(\chi_{26752}(2117,\cdot)\) \(\chi_{26752}(2269,\cdot)\) \(\chi_{26752}(2501,\cdot)\) \(\chi_{26752}(2957,\cdot)\) \(\chi_{26752}(3029,\cdot)\) \(\chi_{26752}(3261,\cdot)\) \(\chi_{26752}(3413,\cdot)\) \(\chi_{26752}(3485,\cdot)\) \(\chi_{26752}(3789,\cdot)\) \(\chi_{26752}(3941,\cdot)\) \(\chi_{26752}(4173,\cdot)\) \(\chi_{26752}(4629,\cdot)\) \(\chi_{26752}(4701,\cdot)\) \(\chi_{26752}(4933,\cdot)\) \(\chi_{26752}(5085,\cdot)\) \(\chi_{26752}(5157,\cdot)\) \(\chi_{26752}(5461,\cdot)\) \(\chi_{26752}(5613,\cdot)\) \(\chi_{26752}(5845,\cdot)\) \(\chi_{26752}(6301,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{480})$
Fixed field:	Number field defined by a degree 480 polynomial (not computed)

Values on generators

\((6271,14213,2433,14081)\) → \((1,e\left(\frac{27}{32}\right),e\left(\frac{3}{5}\right),e\left(\frac{1}{6}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)	\(25\)
\( \chi_{ 26752 }(3485, a) \)	\(-1\)	\(1\)	\(e\left(\frac{239}{480}\right)\)	\(e\left(\frac{437}{480}\right)\)	\(e\left(\frac{51}{80}\right)\)	\(e\left(\frac{239}{240}\right)\)	\(e\left(\frac{43}{480}\right)\)	\(e\left(\frac{49}{120}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{13}{96}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{197}{240}\right)\)