Dirichlet character χ2025(83,⋅)\chi_{2025}(83,\cdot)

• Label: 2025.83
• Modulus: $2025$
• Conductor: $2025$
• Order: $540$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2025$
Conductor:	$2025$
Order:	$540$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2025.bv

$\chi_{2025}(2,\cdot)$ $\chi_{2025}(23,\cdot)$ $\chi_{2025}(38,\cdot)$ $\chi_{2025}(47,\cdot)$ $\chi_{2025}(77,\cdot)$ $\chi_{2025}(83,\cdot)$ $\chi_{2025}(92,\cdot)$ $\chi_{2025}(113,\cdot)$ $\chi_{2025}(122,\cdot)$ $\chi_{2025}(128,\cdot)$ $\chi_{2025}(137,\cdot)$ $\chi_{2025}(158,\cdot)$ $\chi_{2025}(167,\cdot)$ $\chi_{2025}(173,\cdot)$ $\chi_{2025}(203,\cdot)$ $\chi_{2025}(212,\cdot)$ $\chi_{2025}(227,\cdot)$ $\chi_{2025}(248,\cdot)$ $\chi_{2025}(263,\cdot)$ $\chi_{2025}(272,\cdot)$ $\chi_{2025}(302,\cdot)$ $\chi_{2025}(308,\cdot)$ $\chi_{2025}(317,\cdot)$ $\chi_{2025}(338,\cdot)$ $\chi_{2025}(347,\cdot)$ $\chi_{2025}(353,\cdot)$ $\chi_{2025}(362,\cdot)$ $\chi_{2025}(383,\cdot)$ $\chi_{2025}(392,\cdot)$ $\chi_{2025}(398,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{540})$
Fixed field:	Number field defined by a degree 540 polynomial (not computed)

Values on generators

$(326,1702)$ → $(e\left(\frac{1}{54}\right),e\left(\frac{3}{20}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 2025 }(83, a)$	$1$	$1$	$e\left(\frac{91}{540}\right)$	$e\left(\frac{91}{270}\right)$	$e\left(\frac{5}{108}\right)$	$e\left(\frac{91}{180}\right)$	$e\left(\frac{173}{270}\right)$	$e\left(\frac{539}{540}\right)$	$e\left(\frac{29}{135}\right)$	$e\left(\frac{91}{135}\right)$	$e\left(\frac{101}{180}\right)$	$e\left(\frac{53}{90}\right)$