Dirichlet character χ25920(21067,⋅)\chi_{25920}(21067,\cdot)

• Label: 25920.21067
• Modulus: $25920$
• Conductor: $25920$
• Order: $432$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$25920$
Conductor:	$25920$
Order:	$432$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 25920.km

$\chi_{25920}(187,\cdot)$ $\chi_{25920}(403,\cdot)$ $\chi_{25920}(427,\cdot)$ $\chi_{25920}(643,\cdot)$ $\chi_{25920}(907,\cdot)$ $\chi_{25920}(1123,\cdot)$ $\chi_{25920}(1147,\cdot)$ $\chi_{25920}(1363,\cdot)$ $\chi_{25920}(1627,\cdot)$ $\chi_{25920}(1843,\cdot)$ $\chi_{25920}(1867,\cdot)$ $\chi_{25920}(2083,\cdot)$ $\chi_{25920}(2347,\cdot)$ $\chi_{25920}(2563,\cdot)$ $\chi_{25920}(2587,\cdot)$ $\chi_{25920}(2803,\cdot)$ $\chi_{25920}(3067,\cdot)$ $\chi_{25920}(3283,\cdot)$ $\chi_{25920}(3307,\cdot)$ $\chi_{25920}(3523,\cdot)$ $\chi_{25920}(3787,\cdot)$ $\chi_{25920}(4003,\cdot)$ $\chi_{25920}(4027,\cdot)$ $\chi_{25920}(4243,\cdot)$ $\chi_{25920}(4507,\cdot)$ $\chi_{25920}(4723,\cdot)$ $\chi_{25920}(4747,\cdot)$ $\chi_{25920}(4963,\cdot)$ $\chi_{25920}(5227,\cdot)$ $\chi_{25920}(5443,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{432})$
Fixed field:	Number field defined by a degree 432 polynomial (not computed)

Values on generators

$(2431,21061,6401,20737)$ → $(-1,e\left(\frac{5}{16}\right),e\left(\frac{8}{27}\right),i)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 25920 }(21067, a)$	$1$	$1$	$e\left(\frac{133}{216}\right)$	$e\left(\frac{395}{432}\right)$	$e\left(\frac{349}{432}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{59}{144}\right)$	$e\left(\frac{191}{216}\right)$	$e\left(\frac{389}{432}\right)$	$e\left(\frac{25}{27}\right)$	$e\left(\frac{73}{144}\right)$	$e\left(\frac{17}{216}\right)$