Dirichlet character χ9405(16,⋅)\chi_{9405}(16,\cdot)

• Label: 9405.16
• Modulus: $9405$
• Conductor: $1881$
• Order: $45$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$9405$
Conductor:	$1881$
Order:	$45$
Real:	no
Primitive:	no, induced from $\chi_{1881}(16,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 9405.ku

$\chi_{9405}(16,\cdot)$ $\chi_{9405}(256,\cdot)$ $\chi_{9405}(346,\cdot)$ $\chi_{9405}(511,\cdot)$ $\chi_{9405}(1336,\cdot)$ $\chi_{9405}(1411,\cdot)$ $\chi_{9405}(2821,\cdot)$ $\chi_{9405}(3436,\cdot)$ $\chi_{9405}(3766,\cdot)$ $\chi_{9405}(3931,\cdot)$ $\chi_{9405}(3976,\cdot)$ $\chi_{9405}(4756,\cdot)$ $\chi_{9405}(5146,\cdot)$ $\chi_{9405}(5476,\cdot)$ $\chi_{9405}(5641,\cdot)$ $\chi_{9405}(6241,\cdot)$ $\chi_{9405}(6466,\cdot)$ $\chi_{9405}(6856,\cdot)$ $\chi_{9405}(7186,\cdot)$ $\chi_{9405}(7351,\cdot)$ $\chi_{9405}(7396,\cdot)$ $\chi_{9405}(7951,\cdot)$ $\chi_{9405}(8176,\cdot)$ $\chi_{9405}(9106,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 45 polynomial

Values on generators

$(1046,1882,5986,496)$ → $(e\left(\frac{2}{3}\right),1,e\left(\frac{2}{5}\right),e\left(\frac{2}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$23$	$26$
$\chi_{ 9405 }(16, a)$	$1$	$1$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{2}{15}\right)$