Dirichlet character χ28900(471,⋅)\chi_{28900}(471,\cdot)

• Label: 28900.471
• 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.fj

$\chi_{28900}(11,\cdot)$ $\chi_{28900}(31,\cdot)$ $\chi_{28900}(71,\cdot)$ $\chi_{28900}(91,\cdot)$ $\chi_{28900}(211,\cdot)$ $\chi_{28900}(231,\cdot)$ $\chi_{28900}(311,\cdot)$ $\chi_{28900}(371,\cdot)$ $\chi_{28900}(411,\cdot)$ $\chi_{28900}(431,\cdot)$ $\chi_{28900}(471,\cdot)$ $\chi_{28900}(571,\cdot)$ $\chi_{28900}(691,\cdot)$ $\chi_{28900}(711,\cdot)$ $\chi_{28900}(771,\cdot)$ $\chi_{28900}(811,\cdot)$ $\chi_{28900}(891,\cdot)$ $\chi_{28900}(911,\cdot)$ $\chi_{28900}(991,\cdot)$ $\chi_{28900}(1031,\cdot)$ $\chi_{28900}(1111,\cdot)$ $\chi_{28900}(1331,\cdot)$ $\chi_{28900}(1371,\cdot)$ $\chi_{28900}(1391,\cdot)$ $\chi_{28900}(1431,\cdot)$ $\chi_{28900}(1491,\cdot)$

Related number fields

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

Values on generators

$(14451,24277,23701)$ → $(-1,e\left(\frac{3}{5}\right),e\left(\frac{269}{272}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(471, a)$	$1$	$1$	$e\left(\frac{937}{1360}\right)$	$e\left(\frac{215}{272}\right)$	$e\left(\frac{257}{680}\right)$	$e\left(\frac{1151}{1360}\right)$	$e\left(\frac{81}{340}\right)$	$e\left(\frac{99}{680}\right)$	$e\left(\frac{163}{340}\right)$	$e\left(\frac{871}{1360}\right)$	$e\left(\frac{91}{1360}\right)$	$e\left(\frac{1117}{1360}\right)$