Dirichlet character χ28900(23449,⋅)\chi_{28900}(23449,\cdot)

• Label: 28900.23449
• Modulus: $28900$
• Conductor: $85$
• Order: $16$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$28900$
Conductor:	$85$
Order:	$16$
Real:	no
Primitive:	no, induced from $\chi_{85}(74,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 28900.bp

$\chi_{28900}(249,\cdot)$ $\chi_{28900}(4549,\cdot)$ $\chi_{28900}(5649,\cdot)$ $\chi_{28900}(7449,\cdot)$ $\chi_{28900}(16249,\cdot)$ $\chi_{28900}(18049,\cdot)$ $\chi_{28900}(19149,\cdot)$ $\chi_{28900}(23449,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{16})$
Fixed field:	16.0.1118134004496021794140625.1

Values on generators

$(14451,24277,23701)$ → $(1,-1,e\left(\frac{15}{16}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(23449, a)$	$-1$	$1$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{9}{16}\right)$	$i$	$e\left(\frac{1}{8}\right)$	$i$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{3}{16}\right)$