Dirichlet character χ8788(9,⋅)\chi_{8788}(9,\cdot)

• Label: 8788.9
• Modulus: $8788$
• Conductor: $2197$
• Order: $507$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8788$
Conductor:	$2197$
Order:	$507$
Real:	no
Primitive:	no, induced from $\chi_{2197}(9,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 8788.bc

$\chi_{8788}(9,\cdot)$ $\chi_{8788}(29,\cdot)$ $\chi_{8788}(61,\cdot)$ $\chi_{8788}(81,\cdot)$ $\chi_{8788}(113,\cdot)$ $\chi_{8788}(133,\cdot)$ $\chi_{8788}(165,\cdot)$ $\chi_{8788}(185,\cdot)$ $\chi_{8788}(217,\cdot)$ $\chi_{8788}(237,\cdot)$ $\chi_{8788}(269,\cdot)$ $\chi_{8788}(289,\cdot)$ $\chi_{8788}(321,\cdot)$ $\chi_{8788}(341,\cdot)$ $\chi_{8788}(373,\cdot)$ $\chi_{8788}(393,\cdot)$ $\chi_{8788}(425,\cdot)$ $\chi_{8788}(445,\cdot)$ $\chi_{8788}(477,\cdot)$ $\chi_{8788}(497,\cdot)$ $\chi_{8788}(549,\cdot)$ $\chi_{8788}(581,\cdot)$ $\chi_{8788}(601,\cdot)$ $\chi_{8788}(633,\cdot)$ $\chi_{8788}(685,\cdot)$ $\chi_{8788}(705,\cdot)$ $\chi_{8788}(737,\cdot)$ $\chi_{8788}(757,\cdot)$ $\chi_{8788}(789,\cdot)$ $\chi_{8788}(809,\cdot)$ ...

Related number fields

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

Values on generators

$(4395,6593)$ → $(1,e\left(\frac{491}{507}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(9, a)$	$1$	$1$	$e\left(\frac{5}{507}\right)$	$e\left(\frac{17}{169}\right)$	$e\left(\frac{199}{507}\right)$	$e\left(\frac{10}{507}\right)$	$e\left(\frac{458}{507}\right)$	$e\left(\frac{56}{507}\right)$	$e\left(\frac{316}{507}\right)$	$e\left(\frac{31}{39}\right)$	$e\left(\frac{68}{169}\right)$	$e\left(\frac{2}{39}\right)$