Dirichlet character χ5184(2521,⋅)\chi_{5184}(2521,\cdot)

• Label: 5184.2521
• Modulus: $5184$
• Conductor: $864$
• Order: $72$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$5184$
Conductor:	$864$
Order:	$72$
Real:	no
Primitive:	no, induced from $\chi_{864}(229,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 5184.ck

$\chi_{5184}(73,\cdot)$ $\chi_{5184}(361,\cdot)$ $\chi_{5184}(505,\cdot)$ $\chi_{5184}(793,\cdot)$ $\chi_{5184}(937,\cdot)$ $\chi_{5184}(1225,\cdot)$ $\chi_{5184}(1369,\cdot)$ $\chi_{5184}(1657,\cdot)$ $\chi_{5184}(1801,\cdot)$ $\chi_{5184}(2089,\cdot)$ $\chi_{5184}(2233,\cdot)$ $\chi_{5184}(2521,\cdot)$ $\chi_{5184}(2665,\cdot)$ $\chi_{5184}(2953,\cdot)$ $\chi_{5184}(3097,\cdot)$ $\chi_{5184}(3385,\cdot)$ $\chi_{5184}(3529,\cdot)$ $\chi_{5184}(3817,\cdot)$ $\chi_{5184}(3961,\cdot)$ $\chi_{5184}(4249,\cdot)$ $\chi_{5184}(4393,\cdot)$ $\chi_{5184}(4681,\cdot)$ $\chi_{5184}(4825,\cdot)$ $\chi_{5184}(5113,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{72})$
Fixed field:	Number field defined by a degree 72 polynomial

Values on generators

$(2431,325,1217)$ → $(1,e\left(\frac{1}{8}\right),e\left(\frac{4}{9}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 5184 }(2521, a)$	$1$	$1$	$e\left(\frac{25}{72}\right)$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{29}{72}\right)$	$e\left(\frac{31}{72}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{59}{72}\right)$	$e\left(\frac{8}{9}\right)$