Dirichlet character χ2016(797,⋅)\chi_{2016}(797,\cdot)

• Label: 2016.797
• Modulus: $2016$
• Conductor: $2016$
• Order: $24$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2016$
Conductor:	$2016$
Order:	$24$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2016.fb

$\chi_{2016}(293,\cdot)$ $\chi_{2016}(461,\cdot)$ $\chi_{2016}(797,\cdot)$ $\chi_{2016}(965,\cdot)$ $\chi_{2016}(1301,\cdot)$ $\chi_{2016}(1469,\cdot)$ $\chi_{2016}(1805,\cdot)$ $\chi_{2016}(1973,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{24})$
Fixed field:	24.24.20574592712627357116606755731219706996406776278896607232.1

Values on generators

$(127,1765,1793,577)$ → $(1,e\left(\frac{3}{8}\right),e\left(\frac{5}{6}\right),-1)$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{ 2016 }(797, a)$	$1$	$1$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{19}{24}\right)$	$-1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{8}\right)$