Dirichlet character χ945(67,⋅)\chi_{945}(67,\cdot)

• Label: 945.67
• Modulus: $945$
• Conductor: $945$
• Order: $36$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$945$
Conductor:	$945$
Order:	$36$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 945.dn

$\chi_{945}(67,\cdot)$ $\chi_{945}(142,\cdot)$ $\chi_{945}(193,\cdot)$ $\chi_{945}(268,\cdot)$ $\chi_{945}(382,\cdot)$ $\chi_{945}(457,\cdot)$ $\chi_{945}(508,\cdot)$ $\chi_{945}(583,\cdot)$ $\chi_{945}(697,\cdot)$ $\chi_{945}(772,\cdot)$ $\chi_{945}(823,\cdot)$ $\chi_{945}(898,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{36})$
Fixed field:	Number field defined by a degree 36 polynomial

Values on generators

$(596,757,136)$ → $(e\left(\frac{4}{9}\right),i,e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$17$	$19$	$22$	$23$
$\chi_{ 945 }(67, a)$	$-1$	$1$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{36}\right)$	$e\left(\frac{35}{36}\right)$

Gauss sum

Jacobi sum

Kloosterman sum