Dirichlet character χ2070(361,⋅)\chi_{2070}(361,\cdot)

• Label: 2070.361
• Modulus: $2070$
• Conductor: $23$
• Order: $11$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2070$
Conductor:	$23$
Order:	$11$
Real:	no
Primitive:	no, induced from $\chi_{23}(16,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 2070.u

$\chi_{2070}(271,\cdot)$ $\chi_{2070}(361,\cdot)$ $\chi_{2070}(541,\cdot)$ $\chi_{2070}(721,\cdot)$ $\chi_{2070}(811,\cdot)$ $\chi_{2070}(901,\cdot)$ $\chi_{2070}(991,\cdot)$ $\chi_{2070}(1531,\cdot)$ $\chi_{2070}(1711,\cdot)$ $\chi_{2070}(1981,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{11})$
Fixed field:	$\Q(\zeta_{23})^+$

Values on generators

$(461,1657,1891)$ → $(1,1,e\left(\frac{4}{11}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 2070 }(361, a)$	$1$	$1$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{9}{11}\right)$