Dirichlet character χ5408(3131,⋅)\chi_{5408}(3131,\cdot)

• Label: 5408.3131
• Modulus: $5408$
• Conductor: $416$
• Order: $24$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$5408$
Conductor:	$416$
Order:	$24$
Real:	no
Primitive:	no, induced from $\chi_{416}(219,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 5408.cd

$\chi_{5408}(19,\cdot)$ $\chi_{5408}(427,\cdot)$ $\chi_{5408}(1939,\cdot)$ $\chi_{5408}(2347,\cdot)$ $\chi_{5408}(2723,\cdot)$ $\chi_{5408}(3131,\cdot)$ $\chi_{5408}(4643,\cdot)$ $\chi_{5408}(5051,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{24})$
Fixed field:	24.24.31808511574029960248322509834333516654369310400053248.2

Values on generators

$(2367,677,1185)$ → $(-1,e\left(\frac{1}{8}\right),e\left(\frac{7}{12}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 5408 }(3131, a)$	$1$	$1$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{12}\right)$