Dirichlet character χ7920(1943,⋅)\chi_{7920}(1943,\cdot)

• Label: 7920.1943
• Modulus: $7920$
• Conductor: $1320$
• Order: $20$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$7920$
Conductor:	$1320$
Order:	$20$
Real:	no
Primitive:	no, induced from $\chi_{1320}(1283,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 7920.id

$\chi_{7920}(503,\cdot)$ $\chi_{7920}(1223,\cdot)$ $\chi_{7920}(1943,\cdot)$ $\chi_{7920}(2087,\cdot)$ $\chi_{7920}(2807,\cdot)$ $\chi_{7920}(3383,\cdot)$ $\chi_{7920}(3527,\cdot)$ $\chi_{7920}(4967,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	20.20.10757982042338190187612372992000000000000000.1

Values on generators

$(991,5941,3521,6337,6481)$ → $(-1,-1,-1,-i,e\left(\frac{7}{10}\right))$

First values

$a$	$-1$	$1$	$7$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 7920 }(1943, a)$	$1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{3}{5}\right)$	$i$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{5}\right)$	$-i$