Dirichlet character χ46208(33,⋅)\chi_{46208}(33,\cdot)

• Label: 46208.33
• Modulus: $46208$
• Conductor: $5776$
• Order: $684$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$5776$
Order:	$684$
Real:	no
Primitive:	no, induced from $\chi_{5776}(4365,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 46208.eq

$\chi_{46208}(33,\cdot)$ $\chi_{46208}(97,\cdot)$ $\chi_{46208}(545,\cdot)$ $\chi_{46208}(737,\cdot)$ $\chi_{46208}(801,\cdot)$ $\chi_{46208}(865,\cdot)$ $\chi_{46208}(1249,\cdot)$ $\chi_{46208}(1313,\cdot)$ $\chi_{46208}(1761,\cdot)$ $\chi_{46208}(1953,\cdot)$ $\chi_{46208}(2017,\cdot)$ $\chi_{46208}(2081,\cdot)$ $\chi_{46208}(2529,\cdot)$ $\chi_{46208}(2977,\cdot)$ $\chi_{46208}(3169,\cdot)$ $\chi_{46208}(3233,\cdot)$ $\chi_{46208}(3297,\cdot)$ $\chi_{46208}(3681,\cdot)$ $\chi_{46208}(3745,\cdot)$ $\chi_{46208}(4193,\cdot)$ $\chi_{46208}(4385,\cdot)$ $\chi_{46208}(4449,\cdot)$ $\chi_{46208}(4513,\cdot)$ $\chi_{46208}(4897,\cdot)$ $\chi_{46208}(4961,\cdot)$ $\chi_{46208}(5409,\cdot)$ $\chi_{46208}(5601,\cdot)$ $\chi_{46208}(5665,\cdot)$ $\chi_{46208}(5729,\cdot)$ $\chi_{46208}(6113,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{684})$
Fixed field:	Number field defined by a degree 684 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(1,-i,e\left(\frac{241}{342}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(33, a)$	$-1$	$1$	$e\left(\frac{137}{684}\right)$	$e\left(\frac{161}{684}\right)$	$e\left(\frac{23}{114}\right)$	$e\left(\frac{137}{342}\right)$	$e\left(\frac{143}{228}\right)$	$e\left(\frac{61}{684}\right)$	$e\left(\frac{149}{342}\right)$	$e\left(\frac{44}{171}\right)$	$e\left(\frac{275}{684}\right)$	$e\left(\frac{131}{342}\right)$