Dirichlet character χ28900(1523,⋅)\chi_{28900}(1523,\cdot)

• Label: 28900.1523
• Modulus: $28900$
• Conductor: $28900$
• Order: $1360$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

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

Galois orbit 28900.fn

$\chi_{28900}(23,\cdot)$ $\chi_{28900}(163,\cdot)$ $\chi_{28900}(167,\cdot)$ $\chi_{28900}(267,\cdot)$ $\chi_{28900}(283,\cdot)$ $\chi_{28900}(363,\cdot)$ $\chi_{28900}(483,\cdot)$ $\chi_{28900}(547,\cdot)$ $\chi_{28900}(623,\cdot)$ $\chi_{28900}(703,\cdot)$ $\chi_{28900}(787,\cdot)$ $\chi_{28900}(823,\cdot)$ $\chi_{28900}(847,\cdot)$ $\chi_{28900}(887,\cdot)$ $\chi_{28900}(947,\cdot)$ $\chi_{28900}(963,\cdot)$ $\chi_{28900}(1127,\cdot)$ $\chi_{28900}(1163,\cdot)$ $\chi_{28900}(1183,\cdot)$ $\chi_{28900}(1187,\cdot)$ $\chi_{28900}(1227,\cdot)$ $\chi_{28900}(1303,\cdot)$ $\chi_{28900}(1383,\cdot)$ $\chi_{28900}(1467,\cdot)$ $\chi_{28900}(1503,\cdot)$ $\chi_{28900}(1523,\cdot)$ $\chi_{28900}(1527,\cdot)$

Related number fields

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

Values on generators

$(14451,24277,23701)$ → $(-1,e\left(\frac{11}{20}\right),e\left(\frac{115}{272}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(1523, a)$	$-1$	$1$	$e\left(\frac{1051}{1360}\right)$	$e\left(\frac{213}{272}\right)$	$e\left(\frac{371}{680}\right)$	$e\left(\frac{33}{1360}\right)$	$e\left(\frac{27}{85}\right)$	$e\left(\frac{217}{680}\right)$	$e\left(\frac{189}{340}\right)$	$e\left(\frac{1133}{1360}\right)$	$e\left(\frac{433}{1360}\right)$	$e\left(\frac{1291}{1360}\right)$