Dirichlet character χ8788(473,⋅)\chi_{8788}(473,\cdot)

• Label: 8788.473
• Modulus: $8788$
• Conductor: $2197$
• Order: $676$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$8788$
Conductor:	$2197$
Order:	$676$
Real:	no
Primitive:	no, induced from $\chi_{2197}(473,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 8788.be

$\chi_{8788}(5,\cdot)$ $\chi_{8788}(21,\cdot)$ $\chi_{8788}(57,\cdot)$ $\chi_{8788}(73,\cdot)$ $\chi_{8788}(109,\cdot)$ $\chi_{8788}(125,\cdot)$ $\chi_{8788}(161,\cdot)$ $\chi_{8788}(177,\cdot)$ $\chi_{8788}(213,\cdot)$ $\chi_{8788}(229,\cdot)$ $\chi_{8788}(265,\cdot)$ $\chi_{8788}(281,\cdot)$ $\chi_{8788}(317,\cdot)$ $\chi_{8788}(333,\cdot)$ $\chi_{8788}(369,\cdot)$ $\chi_{8788}(385,\cdot)$ $\chi_{8788}(421,\cdot)$ $\chi_{8788}(473,\cdot)$ $\chi_{8788}(489,\cdot)$ $\chi_{8788}(525,\cdot)$ $\chi_{8788}(541,\cdot)$ $\chi_{8788}(593,\cdot)$ $\chi_{8788}(629,\cdot)$ $\chi_{8788}(645,\cdot)$ $\chi_{8788}(681,\cdot)$ $\chi_{8788}(697,\cdot)$ $\chi_{8788}(733,\cdot)$ $\chi_{8788}(749,\cdot)$ $\chi_{8788}(785,\cdot)$ $\chi_{8788}(801,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{676})$
Fixed field:	Number field defined by a degree 676 polynomial (not computed)

Values on generators

$(4395,6593)$ → $(1,e\left(\frac{283}{676}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(473, a)$	$-1$	$1$	$e\left(\frac{102}{169}\right)$	$e\left(\frac{207}{676}\right)$	$e\left(\frac{589}{676}\right)$	$e\left(\frac{35}{169}\right)$	$e\left(\frac{497}{676}\right)$	$e\left(\frac{615}{676}\right)$	$e\left(\frac{15}{338}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{321}{676}\right)$	$e\left(\frac{1}{26}\right)$