Dirichlet character χ2600(883,⋅)\chi_{2600}(883,\cdot)

• Label: 2600.883
• Modulus: $2600$
• Conductor: $2600$
• Order: $20$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2600$
Conductor:	$2600$
Order:	$20$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2600.ef

$\chi_{2600}(363,\cdot)$ $\chi_{2600}(467,\cdot)$ $\chi_{2600}(883,\cdot)$ $\chi_{2600}(987,\cdot)$ $\chi_{2600}(1403,\cdot)$ $\chi_{2600}(1923,\cdot)$ $\chi_{2600}(2027,\cdot)$ $\chi_{2600}(2547,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	20.20.430807787028125000000000000000000000000000000.1

Values on generators

$(1951,1301,1977,1601)$ → $(-1,-1,e\left(\frac{3}{20}\right),-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 2600 }(883, a)$	$1$	$1$	$e\left(\frac{1}{20}\right)$	$-i$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$