Dirichlet character χ2675(116,⋅)\chi_{2675}(116,\cdot)

• Label: 2675.116
• Modulus: $2675$
• Conductor: $2675$
• Order: $265$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2675$
Conductor:	$2675$
Order:	$265$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2675.s

$\chi_{2675}(11,\cdot)$ $\chi_{2675}(16,\cdot)$ $\chi_{2675}(36,\cdot)$ $\chi_{2675}(41,\cdot)$ $\chi_{2675}(56,\cdot)$ $\chi_{2675}(61,\cdot)$ $\chi_{2675}(81,\cdot)$ $\chi_{2675}(86,\cdot)$ $\chi_{2675}(111,\cdot)$ $\chi_{2675}(116,\cdot)$ $\chi_{2675}(121,\cdot)$ $\chi_{2675}(136,\cdot)$ $\chi_{2675}(141,\cdot)$ $\chi_{2675}(146,\cdot)$ $\chi_{2675}(156,\cdot)$ $\chi_{2675}(171,\cdot)$ $\chi_{2675}(186,\cdot)$ $\chi_{2675}(196,\cdot)$ $\chi_{2675}(206,\cdot)$ $\chi_{2675}(241,\cdot)$ $\chi_{2675}(256,\cdot)$ $\chi_{2675}(261,\cdot)$ $\chi_{2675}(266,\cdot)$ $\chi_{2675}(271,\cdot)$ $\chi_{2675}(306,\cdot)$ $\chi_{2675}(316,\cdot)$ $\chi_{2675}(331,\cdot)$ $\chi_{2675}(346,\cdot)$ $\chi_{2675}(356,\cdot)$ $\chi_{2675}(361,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{265})$
Fixed field:	Number field defined by a degree 265 polynomial (not computed)

Values on generators

$(1927,751)$ → $(e\left(\frac{1}{5}\right),e\left(\frac{17}{53}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 2675 }(116, a)$	$1$	$1$	$e\left(\frac{138}{265}\right)$	$e\left(\frac{226}{265}\right)$	$e\left(\frac{11}{265}\right)$	$e\left(\frac{99}{265}\right)$	$e\left(\frac{42}{53}\right)$	$e\left(\frac{149}{265}\right)$	$e\left(\frac{187}{265}\right)$	$e\left(\frac{68}{265}\right)$	$e\left(\frac{237}{265}\right)$	$e\left(\frac{77}{265}\right)$