Dirichlet character χ1805(1382,⋅)\chi_{1805}(1382,\cdot)

• Label: 1805.1382
• Modulus: $1805$
• Conductor: $95$
• Order: $36$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1805$
Conductor:	$95$
Order:	$36$
Real:	no
Primitive:	no, induced from $\chi_{95}(52,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1805.s

$\chi_{1805}(127,\cdot)$ $\chi_{1805}(262,\cdot)$ $\chi_{1805}(307,\cdot)$ $\chi_{1805}(333,\cdot)$ $\chi_{1805}(477,\cdot)$ $\chi_{1805}(488,\cdot)$ $\chi_{1805}(623,\cdot)$ $\chi_{1805}(668,\cdot)$ $\chi_{1805}(838,\cdot)$ $\chi_{1805}(1382,\cdot)$ $\chi_{1805}(1743,\cdot)$ $\chi_{1805}(1777,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{36})$
Fixed field:	$\Q(\zeta_{95})^+$

Values on generators

$(362,1446)$ → $(i,e\left(\frac{7}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 1805 }(1382, a)$	$1$	$1$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{25}{36}\right)$