Dirichlet character χ11552(4347,⋅)\chi_{11552}(4347,\cdot)

• Label: 11552.4347
• Modulus: $11552$
• Conductor: $11552$
• Order: $1368$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$11552$
Conductor:	$11552$
Order:	$1368$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 11552.dq

$\chi_{11552}(3,\cdot)$ $\chi_{11552}(51,\cdot)$ $\chi_{11552}(59,\cdot)$ $\chi_{11552}(67,\cdot)$ $\chi_{11552}(91,\cdot)$ $\chi_{11552}(147,\cdot)$ $\chi_{11552}(155,\cdot)$ $\chi_{11552}(203,\cdot)$ $\chi_{11552}(211,\cdot)$ $\chi_{11552}(219,\cdot)$ $\chi_{11552}(243,\cdot)$ $\chi_{11552}(355,\cdot)$ $\chi_{11552}(363,\cdot)$ $\chi_{11552}(371,\cdot)$ $\chi_{11552}(395,\cdot)$ $\chi_{11552}(451,\cdot)$ $\chi_{11552}(459,\cdot)$ $\chi_{11552}(507,\cdot)$ $\chi_{11552}(515,\cdot)$ $\chi_{11552}(523,\cdot)$ $\chi_{11552}(547,\cdot)$ $\chi_{11552}(603,\cdot)$ $\chi_{11552}(611,\cdot)$ $\chi_{11552}(659,\cdot)$ $\chi_{11552}(667,\cdot)$ $\chi_{11552}(675,\cdot)$ $\chi_{11552}(699,\cdot)$ $\chi_{11552}(755,\cdot)$ $\chi_{11552}(763,\cdot)$ $\chi_{11552}(811,\cdot)$ ...

Related number fields

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

Values on generators

$(5055,1445,2529)$ → $(-1,e\left(\frac{1}{8}\right),e\left(\frac{29}{342}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 11552 }(4347, a)$	$1$	$1$	$e\left(\frac{905}{1368}\right)$	$e\left(\frac{1091}{1368}\right)$	$e\left(\frac{107}{228}\right)$	$e\left(\frac{221}{684}\right)$	$e\left(\frac{353}{456}\right)$	$e\left(\frac{1057}{1368}\right)$	$e\left(\frac{157}{342}\right)$	$e\left(\frac{227}{342}\right)$	$e\left(\frac{179}{1368}\right)$	$e\left(\frac{431}{684}\right)$