Dirichlet character χ28900(29,⋅)\chi_{28900}(29,\cdot)

• Label: 28900.29
• Modulus: $28900$
• Conductor: $7225$
• Order: $1360$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$28900$
Conductor:	$7225$
Order:	$1360$
Real:	no
Primitive:	no, induced from $\chi_{7225}(29,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 28900.fl

$\chi_{28900}(29,\cdot)$ $\chi_{28900}(109,\cdot)$ $\chi_{28900}(129,\cdot)$ $\chi_{28900}(209,\cdot)$ $\chi_{28900}(269,\cdot)$ $\chi_{28900}(309,\cdot)$ $\chi_{28900}(369,\cdot)$ $\chi_{28900}(469,\cdot)$ $\chi_{28900}(589,\cdot)$ $\chi_{28900}(609,\cdot)$ $\chi_{28900}(669,\cdot)$ $\chi_{28900}(789,\cdot)$ $\chi_{28900}(809,\cdot)$ $\chi_{28900}(889,\cdot)$ $\chi_{28900}(929,\cdot)$ $\chi_{28900}(989,\cdot)$ $\chi_{28900}(1009,\cdot)$ $\chi_{28900}(1129,\cdot)$ $\chi_{28900}(1229,\cdot)$ $\chi_{28900}(1269,\cdot)$ $\chi_{28900}(1289,\cdot)$ $\chi_{28900}(1329,\cdot)$ $\chi_{28900}(1389,\cdot)$ $\chi_{28900}(1469,\cdot)$ $\chi_{28900}(1489,\cdot)$

Related number fields

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

Values on generators

$(14451,24277,23701)$ → $(1,e\left(\frac{1}{10}\right),e\left(\frac{125}{272}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(29, a)$	$-1$	$1$	$e\left(\frac{217}{1360}\right)$	$e\left(\frac{199}{272}\right)$	$e\left(\frac{217}{680}\right)$	$e\left(\frac{231}{1360}\right)$	$e\left(\frac{331}{340}\right)$	$e\left(\frac{159}{680}\right)$	$e\left(\frac{303}{340}\right)$	$e\left(\frac{791}{1360}\right)$	$e\left(\frac{651}{1360}\right)$	$e\left(\frac{877}{1360}\right)$