Dirichlet character χ46208(175,⋅)\chi_{46208}(175,\cdot)

• Label: 46208.175
• Modulus: $46208$
• Conductor: $11552$
• Order: $1368$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$11552$
Order:	$1368$
Real:	no
Primitive:	no, induced from $\chi_{11552}(7395,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 46208.ez

$\chi_{46208}(47,\cdot)$ $\chi_{46208}(111,\cdot)$ $\chi_{46208}(175,\cdot)$ $\chi_{46208}(207,\cdot)$ $\chi_{46208}(271,\cdot)$ $\chi_{46208}(367,\cdot)$ $\chi_{46208}(655,\cdot)$ $\chi_{46208}(719,\cdot)$ $\chi_{46208}(783,\cdot)$ $\chi_{46208}(815,\cdot)$ $\chi_{46208}(879,\cdot)$ $\chi_{46208}(975,\cdot)$ $\chi_{46208}(1263,\cdot)$ $\chi_{46208}(1327,\cdot)$ $\chi_{46208}(1391,\cdot)$ $\chi_{46208}(1423,\cdot)$ $\chi_{46208}(1487,\cdot)$

Related number fields

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

Values on generators

$(28159,36101,14081)$ → $(-1,e\left(\frac{3}{8}\right),e\left(\frac{136}{171}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(175, a)$	$-1$	$1$	$e\left(\frac{239}{1368}\right)$	$e\left(\frac{1217}{1368}\right)$	$e\left(\frac{125}{228}\right)$	$e\left(\frac{239}{684}\right)$	$e\left(\frac{227}{456}\right)$	$e\left(\frac{391}{1368}\right)$	$e\left(\frac{11}{171}\right)$	$e\left(\frac{83}{342}\right)$	$e\left(\frac{989}{1368}\right)$	$e\left(\frac{593}{684}\right)$