Dirichlet character χ1805(441,⋅)\chi_{1805}(441,\cdot)

• Label: 1805.441
• Modulus: $1805$
• Conductor: $361$
• Order: $171$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1805$
Conductor:	$361$
Order:	$171$
Real:	no
Primitive:	no, induced from $\chi_{361}(80,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1805.bc

$\chi_{1805}(6,\cdot)$ $\chi_{1805}(16,\cdot)$ $\chi_{1805}(36,\cdot)$ $\chi_{1805}(61,\cdot)$ $\chi_{1805}(66,\cdot)$ $\chi_{1805}(81,\cdot)$ $\chi_{1805}(101,\cdot)$ $\chi_{1805}(111,\cdot)$ $\chi_{1805}(131,\cdot)$ $\chi_{1805}(156,\cdot)$ $\chi_{1805}(161,\cdot)$ $\chi_{1805}(176,\cdot)$ $\chi_{1805}(196,\cdot)$ $\chi_{1805}(206,\cdot)$ $\chi_{1805}(226,\cdot)$ $\chi_{1805}(251,\cdot)$ $\chi_{1805}(256,\cdot)$ $\chi_{1805}(271,\cdot)$ $\chi_{1805}(291,\cdot)$ $\chi_{1805}(301,\cdot)$ $\chi_{1805}(321,\cdot)$ $\chi_{1805}(346,\cdot)$ $\chi_{1805}(351,\cdot)$ $\chi_{1805}(366,\cdot)$ $\chi_{1805}(386,\cdot)$ $\chi_{1805}(396,\cdot)$ $\chi_{1805}(416,\cdot)$ $\chi_{1805}(441,\cdot)$ $\chi_{1805}(446,\cdot)$ $\chi_{1805}(461,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{171})$
Fixed field:	Number field defined by a degree 171 polynomial (not computed)

Values on generators

$(362,1446)$ → $(1,e\left(\frac{118}{171}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 1805 }(441, a)$	$1$	$1$	$e\left(\frac{118}{171}\right)$	$e\left(\frac{157}{171}\right)$	$e\left(\frac{65}{171}\right)$	$e\left(\frac{104}{171}\right)$	$e\left(\frac{29}{57}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{143}{171}\right)$	$e\left(\frac{22}{57}\right)$	$e\left(\frac{17}{57}\right)$	$e\left(\frac{5}{171}\right)$