Dirichlet character χ8788(381,⋅)\chi_{8788}(381,\cdot)

• Label: 8788.381
• Modulus: $8788$
• Conductor: $2197$
• Order: $1014$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8788$
Conductor:	$2197$
Order:	$1014$
Real:	no
Primitive:	no, induced from $\chi_{2197}(381,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 8788.bg

$\chi_{8788}(17,\cdot)$ $\chi_{8788}(49,\cdot)$ $\chi_{8788}(69,\cdot)$ $\chi_{8788}(101,\cdot)$ $\chi_{8788}(121,\cdot)$ $\chi_{8788}(153,\cdot)$ $\chi_{8788}(173,\cdot)$ $\chi_{8788}(205,\cdot)$ $\chi_{8788}(225,\cdot)$ $\chi_{8788}(257,\cdot)$ $\chi_{8788}(277,\cdot)$ $\chi_{8788}(309,\cdot)$ $\chi_{8788}(329,\cdot)$ $\chi_{8788}(381,\cdot)$ $\chi_{8788}(413,\cdot)$ $\chi_{8788}(433,\cdot)$ $\chi_{8788}(465,\cdot)$ $\chi_{8788}(517,\cdot)$ $\chi_{8788}(537,\cdot)$ $\chi_{8788}(569,\cdot)$ $\chi_{8788}(589,\cdot)$ $\chi_{8788}(621,\cdot)$ $\chi_{8788}(641,\cdot)$ $\chi_{8788}(673,\cdot)$ $\chi_{8788}(693,\cdot)$ $\chi_{8788}(725,\cdot)$ $\chi_{8788}(745,\cdot)$ $\chi_{8788}(777,\cdot)$ $\chi_{8788}(797,\cdot)$ $\chi_{8788}(829,\cdot)$ ...

Related number fields

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

Values on generators

$(4395,6593)$ → $(1,e\left(\frac{61}{1014}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(381, a)$	$1$	$1$	$e\left(\frac{38}{507}\right)$	$e\left(\frac{157}{338}\right)$	$e\left(\frac{287}{1014}\right)$	$e\left(\frac{76}{507}\right)$	$e\left(\frac{979}{1014}\right)$	$e\left(\frac{547}{1014}\right)$	$e\left(\frac{475}{507}\right)$	$e\left(\frac{11}{78}\right)$	$e\left(\frac{121}{338}\right)$	$e\left(\frac{23}{39}\right)$