Dirichlet character χ925(141,⋅)\chi_{925}(141,\cdot)

• Label: 925.141
• Modulus: $925$
• Conductor: $925$
• Order: $90$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$925$
Conductor:	$925$
Order:	$90$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 925.ca

$\chi_{925}(21,\cdot)$ $\chi_{925}(41,\cdot)$ $\chi_{925}(136,\cdot)$ $\chi_{925}(141,\cdot)$ $\chi_{925}(206,\cdot)$ $\chi_{925}(321,\cdot)$ $\chi_{925}(336,\cdot)$ $\chi_{925}(361,\cdot)$ $\chi_{925}(391,\cdot)$ $\chi_{925}(411,\cdot)$ $\chi_{925}(506,\cdot)$ $\chi_{925}(511,\cdot)$ $\chi_{925}(521,\cdot)$ $\chi_{925}(546,\cdot)$ $\chi_{925}(596,\cdot)$ $\chi_{925}(691,\cdot)$ $\chi_{925}(696,\cdot)$ $\chi_{925}(706,\cdot)$ $\chi_{925}(731,\cdot)$ $\chi_{925}(761,\cdot)$ $\chi_{925}(781,\cdot)$ $\chi_{925}(881,\cdot)$ $\chi_{925}(891,\cdot)$ $\chi_{925}(916,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Values on generators

$(852,76)$ → $(e\left(\frac{1}{5}\right),e\left(\frac{7}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 925 }(141, a)$	$1$	$1$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{7}{90}\right)$

Gauss sum

Jacobi sum

Kloosterman sum