Dirichlet character χ46208(51,⋅)\chi_{46208}(51,\cdot)

• Label: 46208.51
• Modulus: $46208$
• Conductor: $46208$
• Order: $5472$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$46208$
Conductor:	$46208$
Order:	$5472$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 46208.fm

$\chi_{46208}(3,\cdot)$ $\chi_{46208}(51,\cdot)$ $\chi_{46208}(59,\cdot)$ $\chi_{46208}(67,\cdot)$ $\chi_{46208}(91,\cdot)$ $\chi_{46208}(147,\cdot)$ $\chi_{46208}(155,\cdot)$ $\chi_{46208}(203,\cdot)$ $\chi_{46208}(211,\cdot)$ $\chi_{46208}(219,\cdot)$ $\chi_{46208}(243,\cdot)$ $\chi_{46208}(355,\cdot)$ $\chi_{46208}(363,\cdot)$ $\chi_{46208}(371,\cdot)$ $\chi_{46208}(395,\cdot)$ $\chi_{46208}(451,\cdot)$ $\chi_{46208}(459,\cdot)$ $\chi_{46208}(507,\cdot)$ $\chi_{46208}(515,\cdot)$ $\chi_{46208}(523,\cdot)$ $\chi_{46208}(547,\cdot)$ $\chi_{46208}(603,\cdot)$ $\chi_{46208}(611,\cdot)$ $\chi_{46208}(659,\cdot)$ $\chi_{46208}(667,\cdot)$ $\chi_{46208}(675,\cdot)$ $\chi_{46208}(699,\cdot)$ $\chi_{46208}(755,\cdot)$ $\chi_{46208}(763,\cdot)$ $\chi_{46208}(811,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{5472})$
Fixed field:	Number field defined by a degree 5472 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(-1,e\left(\frac{31}{32}\right),e\left(\frac{23}{342}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(51, a)$	$1$	$1$	$e\left(\frac{4127}{5472}\right)$	$e\left(\frac{3125}{5472}\right)$	$e\left(\frac{251}{912}\right)$	$e\left(\frac{1391}{2736}\right)$	$e\left(\frac{1283}{1824}\right)$	$e\left(\frac{3595}{5472}\right)$	$e\left(\frac{445}{1368}\right)$	$e\left(\frac{443}{1368}\right)$	$e\left(\frac{161}{5472}\right)$	$e\left(\frac{2411}{2736}\right)$