Dirichlet character χ8788(657,⋅)\chi_{8788}(657,\cdot)

• Label: 8788.657
• Modulus: $8788$
• Conductor: $13$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$8788$
Conductor:	$13$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{13}(7,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 8788.k

$\chi_{8788}(657,\cdot)$ $\chi_{8788}(3737,\cdot)$ $\chi_{8788}(6173,\cdot)$ $\chi_{8788}(7009,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	$\Q(\zeta_{13})$

Values on generators

$(4395,6593)$ → $(1,e\left(\frac{11}{12}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(657, a)$	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$i$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{12}\right)$	$-i$	$e\left(\frac{1}{6}\right)$