Dirichlet character χ4160(4153,⋅)\chi_{4160}(4153,\cdot)

• Label: 4160.4153
• Modulus: $4160$
• Conductor: $2080$
• Order: $24$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$4160$
Conductor:	$2080$
Order:	$24$
Real:	no
Primitive:	no, induced from $\chi_{2080}(1813,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 4160.it

$\chi_{4160}(137,\cdot)$ $\chi_{4160}(297,\cdot)$ $\chi_{4160}(1913,\cdot)$ $\chi_{4160}(2073,\cdot)$ $\chi_{4160}(2217,\cdot)$ $\chi_{4160}(2377,\cdot)$ $\chi_{4160}(3993,\cdot)$ $\chi_{4160}(4153,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{24})$
Fixed field:	Number field defined by a degree 24 polynomial

Values on generators

$(4031,261,2497,1601)$ → $(1,e\left(\frac{5}{8}\right),-i,e\left(\frac{5}{12}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 4160 }(4153, a)$	$1$	$1$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{24}\right)$