Dirichlet character χ4160(839,⋅)\chi_{4160}(839,\cdot)

• Label: 4160.839
• 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 $\chi_{2080}(1099,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 4160.ig

$\chi_{4160}(119,\cdot)$ $\chi_{4160}(279,\cdot)$ $\chi_{4160}(839,\cdot)$ $\chi_{4160}(999,\cdot)$ $\chi_{4160}(2199,\cdot)$ $\chi_{4160}(2359,\cdot)$ $\chi_{4160}(2919,\cdot)$ $\chi_{4160}(3079,\cdot)$

Related number fields

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

Values on generators

$(4031,261,2497,1601)$ → $(-1,e\left(\frac{5}{8}\right),-1,e\left(\frac{11}{12}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 4160 }(839, a)$	$1$	$1$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{13}{24}\right)$