Dirichlet character χ8788(55,⋅)\chi_{8788}(55,\cdot)

• Label: 8788.55
• Modulus: $8788$
• Conductor: $8788$
• Order: $1014$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$8788$
Conductor:	$8788$
Order:	$1014$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 8788.bf

$\chi_{8788}(3,\cdot)$ $\chi_{8788}(35,\cdot)$ $\chi_{8788}(55,\cdot)$ $\chi_{8788}(87,\cdot)$ $\chi_{8788}(107,\cdot)$ $\chi_{8788}(139,\cdot)$ $\chi_{8788}(159,\cdot)$ $\chi_{8788}(211,\cdot)$ $\chi_{8788}(243,\cdot)$ $\chi_{8788}(263,\cdot)$ $\chi_{8788}(295,\cdot)$ $\chi_{8788}(347,\cdot)$ $\chi_{8788}(367,\cdot)$ $\chi_{8788}(399,\cdot)$ $\chi_{8788}(419,\cdot)$ $\chi_{8788}(451,\cdot)$ $\chi_{8788}(471,\cdot)$ $\chi_{8788}(503,\cdot)$ $\chi_{8788}(523,\cdot)$ $\chi_{8788}(555,\cdot)$ $\chi_{8788}(575,\cdot)$ $\chi_{8788}(607,\cdot)$ $\chi_{8788}(627,\cdot)$ $\chi_{8788}(659,\cdot)$ $\chi_{8788}(679,\cdot)$ $\chi_{8788}(711,\cdot)$ $\chi_{8788}(731,\cdot)$ $\chi_{8788}(763,\cdot)$ $\chi_{8788}(783,\cdot)$ $\chi_{8788}(815,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{507})$
Fixed field:	Number field defined by a degree 1014 polynomial (not computed)

Values on generators

$(4395,6593)$ → $(-1,e\left(\frac{301}{507}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(55, a)$	$-1$	$1$	$e\left(\frac{509}{1014}\right)$	$e\left(\frac{71}{169}\right)$	$e\left(\frac{181}{1014}\right)$	$e\left(\frac{2}{507}\right)$	$e\left(\frac{893}{1014}\right)$	$e\left(\frac{935}{1014}\right)$	$e\left(\frac{266}{507}\right)$	$e\left(\frac{67}{78}\right)$	$e\left(\frac{115}{169}\right)$	$e\left(\frac{71}{78}\right)$