Dirichlet character χ2135(1168,⋅)\chi_{2135}(1168,\cdot)

• Label: 2135.1168
• Modulus: $2135$
• Conductor: $2135$
• Order: $20$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2135$
Conductor:	$2135$
Order:	$20$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2135.ep

$\chi_{2135}(363,\cdot)$ $\chi_{2135}(447,\cdot)$ $\chi_{2135}(888,\cdot)$ $\chi_{2135}(1168,\cdot)$ $\chi_{2135}(1217,\cdot)$ $\chi_{2135}(1728,\cdot)$ $\chi_{2135}(1742,\cdot)$ $\chi_{2135}(2022,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	Number field defined by a degree 20 polynomial

Values on generators

$(1282,1221,246)$ → $(-i,-1,e\left(\frac{1}{5}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 2135 }(1168, a)$	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{17}{20}\right)$	$-i$	$e\left(\frac{4}{5}\right)$