Dirichlet character χ28900(27101,⋅)\chi_{28900}(27101,\cdot)

• Label: 28900.27101
• Modulus: $28900$
• Conductor: $17$
• Order: $16$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$28900$
Conductor:	$17$
Order:	$16$
Real:	no
Primitive:	no, induced from $\chi_{17}(3,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 28900.bm

$\chi_{28900}(7001,\cdot)$ $\chi_{28900}(8801,\cdot)$ $\chi_{28900}(9901,\cdot)$ $\chi_{28900}(14201,\cdot)$ $\chi_{28900}(19901,\cdot)$ $\chi_{28900}(24201,\cdot)$ $\chi_{28900}(25301,\cdot)$ $\chi_{28900}(27101,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{16})$
Fixed field:	Number field defined by a degree 16 polynomial

Values on generators

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

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(27101, a)$	$-1$	$1$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{16}\right)$	$i$	$e\left(\frac{7}{8}\right)$	$-i$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{13}{16}\right)$