Dirichlet character χ4256(2781,⋅)\chi_{4256}(2781,\cdot)

• Label: 4256.2781
• Modulus: $4256$
• Conductor: $4256$
• Order: $24$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4256$
Conductor:	$4256$
Order:	$24$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4256.hr

$\chi_{4256}(277,\cdot)$ $\chi_{4256}(653,\cdot)$ $\chi_{4256}(1341,\cdot)$ $\chi_{4256}(1717,\cdot)$ $\chi_{4256}(2405,\cdot)$ $\chi_{4256}(2781,\cdot)$ $\chi_{4256}(3469,\cdot)$ $\chi_{4256}(3845,\cdot)$

Related number fields

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

Values on generators

$(799,2661,3041,3137)$ → $(1,e\left(\frac{3}{8}\right),e\left(\frac{1}{3}\right),e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$23$	$25$	$27$
$\chi_{ 4256 }(2781, a)$	$1$	$1$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{12}\right)$	$-i$	$e\left(\frac{3}{8}\right)$