Dirichlet character χ8788(529,⋅)\chi_{8788}(529,\cdot)

• Label: 8788.529
• Modulus: $8788$
• Conductor: $169$
• Order: $39$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$8788$
Conductor:	$169$
Order:	$39$
Real:	no
Primitive:	no, induced from $\chi_{169}(152,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 8788.q

$\chi_{8788}(529,\cdot)$ $\chi_{8788}(653,\cdot)$ $\chi_{8788}(1205,\cdot)$ $\chi_{8788}(1329,\cdot)$ $\chi_{8788}(1881,\cdot)$ $\chi_{8788}(2005,\cdot)$ $\chi_{8788}(2557,\cdot)$ $\chi_{8788}(2681,\cdot)$ $\chi_{8788}(3909,\cdot)$ $\chi_{8788}(4033,\cdot)$ $\chi_{8788}(4585,\cdot)$ $\chi_{8788}(4709,\cdot)$ $\chi_{8788}(5261,\cdot)$ $\chi_{8788}(5385,\cdot)$ $\chi_{8788}(5937,\cdot)$ $\chi_{8788}(6061,\cdot)$ $\chi_{8788}(6613,\cdot)$ $\chi_{8788}(6737,\cdot)$ $\chi_{8788}(7289,\cdot)$ $\chi_{8788}(7413,\cdot)$ $\chi_{8788}(7965,\cdot)$ $\chi_{8788}(8089,\cdot)$ $\chi_{8788}(8641,\cdot)$ $\chi_{8788}(8765,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{39})$
Fixed field:	Number field defined by a degree 39 polynomial

Values on generators

$(4395,6593)$ → $(1,e\left(\frac{17}{39}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(529, a)$	$1$	$1$	$e\left(\frac{2}{39}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{25}{39}\right)$	$e\left(\frac{4}{39}\right)$	$e\left(\frac{35}{39}\right)$	$e\left(\frac{38}{39}\right)$	$e\left(\frac{25}{39}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{9}{13}\right)$	$e\left(\frac{2}{3}\right)$