Dirichlet character χ28900(3467,⋅)\chi_{28900}(3467,\cdot)

• Label: 28900.3467
• Modulus: $28900$
• Conductor: $1700$
• Order: $20$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$28900$
Conductor:	$1700$
Order:	$20$
Real:	no
Primitive:	no, induced from $\chi_{1700}(67,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 28900.bv

$\chi_{28900}(3467,\cdot)$ $\chi_{28900}(4623,\cdot)$ $\chi_{28900}(9247,\cdot)$ $\chi_{28900}(10403,\cdot)$ $\chi_{28900}(15027,\cdot)$ $\chi_{28900}(16183,\cdot)$ $\chi_{28900}(21963,\cdot)$ $\chi_{28900}(26587,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	20.20.6152325135647583007812500000000000000000000.1

Values on generators

$(14451,24277,23701)$ → $(-1,e\left(\frac{13}{20}\right),-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(3467, a)$	$1$	$1$	$e\left(\frac{11}{20}\right)$	$i$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{4}{5}\right)$