Dirichlet character χ2135(39,⋅)\chi_{2135}(39,\cdot)

• Label: 2135.39
• Modulus: $2135$
• Conductor: $2135$
• Order: $30$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2135$
Conductor:	$2135$
Order:	$30$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2135.ev

$\chi_{2135}(39,\cdot)$ $\chi_{2135}(219,\cdot)$ $\chi_{2135}(249,\cdot)$ $\chi_{2135}(324,\cdot)$ $\chi_{2135}(919,\cdot)$ $\chi_{2135}(1269,\cdot)$ $\chi_{2135}(1509,\cdot)$ $\chi_{2135}(1754,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{15})$
Fixed field:	Number field defined by a degree 30 polynomial

Values on generators

$(1282,1221,246)$ → $(-1,e\left(\frac{2}{3}\right),e\left(\frac{23}{30}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 2135 }(39, a)$	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{5}\right)$