Dirichlet character χ46208(15,⋅)\chi_{46208}(15,\cdot)

• Label: 46208.15
• Modulus: $46208$
• Conductor: $11552$
• Order: $1368$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$46208$
Conductor:	$11552$
Order:	$1368$
Real:	no
Primitive:	no, induced from $\chi_{11552}(4347,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 46208.fa

$\chi_{46208}(15,\cdot)$ $\chi_{46208}(79,\cdot)$ $\chi_{46208}(143,\cdot)$ $\chi_{46208}(431,\cdot)$ $\chi_{46208}(527,\cdot)$ $\chi_{46208}(591,\cdot)$ $\chi_{46208}(687,\cdot)$ $\chi_{46208}(751,\cdot)$ $\chi_{46208}(1039,\cdot)$ $\chi_{46208}(1135,\cdot)$ $\chi_{46208}(1231,\cdot)$ $\chi_{46208}(1295,\cdot)$ $\chi_{46208}(1359,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{1368})$
Fixed field:	Number field defined by a degree 1368 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(-1,e\left(\frac{1}{8}\right),e\left(\frac{29}{342}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(15, a)$	$1$	$1$	$e\left(\frac{905}{1368}\right)$	$e\left(\frac{1091}{1368}\right)$	$e\left(\frac{107}{228}\right)$	$e\left(\frac{221}{684}\right)$	$e\left(\frac{353}{456}\right)$	$e\left(\frac{1057}{1368}\right)$	$e\left(\frac{157}{342}\right)$	$e\left(\frac{227}{342}\right)$	$e\left(\frac{179}{1368}\right)$	$e\left(\frac{431}{684}\right)$