Dirichlet character χ2925(2063,⋅)\chi_{2925}(2063,\cdot)

• Label: 2925.2063
• Modulus: $2925$
• Conductor: $2925$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2925$
Conductor:	$2925$
Order:	$60$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2925.gh

$\chi_{2925}(302,\cdot)$ $\chi_{2925}(308,\cdot)$ $\chi_{2925}(542,\cdot)$ $\chi_{2925}(653,\cdot)$ $\chi_{2925}(887,\cdot)$ $\chi_{2925}(1127,\cdot)$ $\chi_{2925}(1238,\cdot)$ $\chi_{2925}(1472,\cdot)$ $\chi_{2925}(1478,\cdot)$ $\chi_{2925}(1712,\cdot)$ $\chi_{2925}(1823,\cdot)$ $\chi_{2925}(2063,\cdot)$ $\chi_{2925}(2297,\cdot)$ $\chi_{2925}(2408,\cdot)$ $\chi_{2925}(2642,\cdot)$ $\chi_{2925}(2648,\cdot)$

Related number fields

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

Values on generators

$(326,352,2251)$ → $(e\left(\frac{1}{6}\right),e\left(\frac{19}{20}\right),e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$14$	$16$	$17$	$19$	$22$
$\chi_{ 2925 }(2063, a)$	$1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{17}{30}\right)$	$-i$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{49}{60}\right)$