Dirichlet character χ495(97,⋅)\chi_{495}(97,\cdot)

• Label: 495.97
• Modulus: $495$
• Conductor: $495$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$495$
Conductor:	$495$
Order:	$60$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 495.bt

$\chi_{495}(58,\cdot)$ $\chi_{495}(97,\cdot)$ $\chi_{495}(103,\cdot)$ $\chi_{495}(148,\cdot)$ $\chi_{495}(157,\cdot)$ $\chi_{495}(202,\cdot)$ $\chi_{495}(223,\cdot)$ $\chi_{495}(247,\cdot)$ $\chi_{495}(268,\cdot)$ $\chi_{495}(313,\cdot)$ $\chi_{495}(322,\cdot)$ $\chi_{495}(328,\cdot)$ $\chi_{495}(367,\cdot)$ $\chi_{495}(412,\cdot)$ $\chi_{495}(427,\cdot)$ $\chi_{495}(493,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(56,397,46)$ → $(e\left(\frac{2}{3}\right),i,e\left(\frac{3}{5}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$19$	$23$
$\chi_{ 495 }(97, a)$	$-1$	$1$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{12}\right)$

Gauss sum

Jacobi sum

Kloosterman sum