Dirichlet character χ4400(87,⋅)\chi_{4400}(87,\cdot)

• Label: 4400.87
• Modulus: $4400$
• Conductor: $2200$
• Order: $20$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$4400$
Conductor:	$2200$
Order:	$20$
Real:	no
Primitive:	no, induced from $\chi_{2200}(1187,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 4400.hu

$\chi_{4400}(87,\cdot)$ $\chi_{4400}(263,\cdot)$ $\chi_{4400}(967,\cdot)$ $\chi_{4400}(1847,\cdot)$ $\chi_{4400}(2023,\cdot)$ $\chi_{4400}(2727,\cdot)$ $\chi_{4400}(2903,\cdot)$ $\chi_{4400}(3783,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	20.0.81054451878125000000000000000000000000000000.1

Values on generators

$(2751,3301,177,1201)$ → $(-1,-1,e\left(\frac{9}{20}\right),-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$13$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 4400 }(87, a)$	$-1$	$1$	$e\left(\frac{3}{20}\right)$	$i$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{10}\right)$