Dirichlet character χ2652(1907,⋅)\chi_{2652}(1907,\cdot)

• Label: 2652.1907
• Modulus: $2652$
• Conductor: $2652$
• Order: $48$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2652$
Conductor:	$2652$
Order:	$48$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2652.fa

$\chi_{2652}(107,\cdot)$ $\chi_{2652}(347,\cdot)$ $\chi_{2652}(419,\cdot)$ $\chi_{2652}(503,\cdot)$ $\chi_{2652}(575,\cdot)$ $\chi_{2652}(887,\cdot)$ $\chi_{2652}(1043,\cdot)$ $\chi_{2652}(1127,\cdot)$ $\chi_{2652}(1355,\cdot)$ $\chi_{2652}(1439,\cdot)$ $\chi_{2652}(1595,\cdot)$ $\chi_{2652}(1907,\cdot)$ $\chi_{2652}(1979,\cdot)$ $\chi_{2652}(2063,\cdot)$ $\chi_{2652}(2135,\cdot)$ $\chi_{2652}(2375,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{48})$
Fixed field:	Number field defined by a degree 48 polynomial

Values on generators

$(1327,1769,613,1873)$ → $(-1,-1,e\left(\frac{2}{3}\right),e\left(\frac{1}{16}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$19$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 2652 }(1907, a)$	$-1$	$1$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{25}{48}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{35}{48}\right)$