Dirichlet character χ28900(39,⋅)\chi_{28900}(39,\cdot)

• Label: 28900.39
• Modulus: $28900$
• Conductor: $28900$
• Order: $1360$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$28900$
Conductor:	$28900$
Order:	$1360$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 28900.fk

$\chi_{28900}(39,\cdot)$ $\chi_{28900}(79,\cdot)$ $\chi_{28900}(139,\cdot)$ $\chi_{28900}(159,\cdot)$ $\chi_{28900}(279,\cdot)$ $\chi_{28900}(379,\cdot)$ $\chi_{28900}(419,\cdot)$ $\chi_{28900}(439,\cdot)$ $\chi_{28900}(479,\cdot)$ $\chi_{28900}(539,\cdot)$ $\chi_{28900}(619,\cdot)$ $\chi_{28900}(639,\cdot)$ $\chi_{28900}(719,\cdot)$ $\chi_{28900}(759,\cdot)$ $\chi_{28900}(779,\cdot)$ $\chi_{28900}(819,\cdot)$ $\chi_{28900}(839,\cdot)$ $\chi_{28900}(879,\cdot)$ $\chi_{28900}(959,\cdot)$ $\chi_{28900}(979,\cdot)$ $\chi_{28900}(1059,\cdot)$ $\chi_{28900}(1119,\cdot)$ $\chi_{28900}(1159,\cdot)$ $\chi_{28900}(1179,\cdot)$ $\chi_{28900}(1219,\cdot)$ $\chi_{28900}(1319,\cdot)$ $\chi_{28900}(1439,\cdot)$ $\chi_{28900}(1459,\cdot)$ $\chi_{28900}(1519,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{1360})$
Fixed field:	Number field defined by a degree 1360 polynomial (not computed)

Values on generators

$(14451,24277,23701)$ → $(-1,e\left(\frac{3}{10}\right),e\left(\frac{197}{272}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(39, a)$	$1$	$1$	$e\left(\frac{441}{1360}\right)$	$e\left(\frac{71}{272}\right)$	$e\left(\frac{441}{680}\right)$	$e\left(\frac{1303}{1360}\right)$	$e\left(\frac{223}{340}\right)$	$e\left(\frac{27}{680}\right)$	$e\left(\frac{199}{340}\right)$	$e\left(\frac{423}{1360}\right)$	$e\left(\frac{1323}{1360}\right)$	$e\left(\frac{181}{1360}\right)$