Dirichlet character χ46208(367,⋅)\chi_{46208}(367,\cdot)

• Label: 46208.367
• 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 $\chi_{11552}(1811,\cdot)$
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

$(28159,36101,14081)$ → $(-1,e\left(\frac{7}{8}\right),e\left(\frac{70}{171}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(367, a)$	$-1$	$1$	$e\left(\frac{35}{1368}\right)$	$e\left(\frac{1157}{1368}\right)$	$e\left(\frac{149}{228}\right)$	$e\left(\frac{35}{684}\right)$	$e\left(\frac{287}{456}\right)$	$e\left(\frac{1099}{1368}\right)$	$e\left(\frac{149}{171}\right)$	$e\left(\frac{5}{342}\right)$	$e\left(\frac{929}{1368}\right)$	$e\left(\frac{353}{684}\right)$