Dirichlet character χ104(11,⋅)\chi_{104}(11,\cdot)

• Label: 104.11
• Modulus: $104$
• Conductor: $104$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$104$
Conductor:	$104$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 104.u

$\chi_{104}(11,\cdot)$ $\chi_{104}(19,\cdot)$ $\chi_{104}(59,\cdot)$ $\chi_{104}(67,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.469804094334435328.1

Values on generators

$(79,53,41)$ → $(-1,-1,e\left(\frac{7}{12}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 104 }(11, a)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$-i$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{12}\right)$	$i$	$e\left(\frac{1}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum