Dirichlet character χ1875(46,⋅)\chi_{1875}(46,\cdot)

• Label: 1875.46
• Modulus: $1875$
• Conductor: $625$
• Order: $125$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1875$
Conductor:	$625$
Order:	$125$
Real:	no
Primitive:	no, induced from $\chi_{625}(46,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1875.s

$\chi_{1875}(16,\cdot)$ $\chi_{1875}(31,\cdot)$ $\chi_{1875}(46,\cdot)$ $\chi_{1875}(61,\cdot)$ $\chi_{1875}(91,\cdot)$ $\chi_{1875}(106,\cdot)$ $\chi_{1875}(121,\cdot)$ $\chi_{1875}(136,\cdot)$ $\chi_{1875}(166,\cdot)$ $\chi_{1875}(181,\cdot)$ $\chi_{1875}(196,\cdot)$ $\chi_{1875}(211,\cdot)$ $\chi_{1875}(241,\cdot)$ $\chi_{1875}(256,\cdot)$ $\chi_{1875}(271,\cdot)$ $\chi_{1875}(286,\cdot)$ $\chi_{1875}(316,\cdot)$ $\chi_{1875}(331,\cdot)$ $\chi_{1875}(346,\cdot)$ $\chi_{1875}(361,\cdot)$ $\chi_{1875}(391,\cdot)$ $\chi_{1875}(406,\cdot)$ $\chi_{1875}(421,\cdot)$ $\chi_{1875}(436,\cdot)$ $\chi_{1875}(466,\cdot)$ $\chi_{1875}(481,\cdot)$ $\chi_{1875}(496,\cdot)$ $\chi_{1875}(511,\cdot)$ $\chi_{1875}(541,\cdot)$ $\chi_{1875}(556,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{125})$
Fixed field:	Number field defined by a degree 125 polynomial (not computed)

Values on generators

$(626,1252)$ → $(1,e\left(\frac{108}{125}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1875 }(46, a)$	$1$	$1$	$e\left(\frac{108}{125}\right)$	$e\left(\frac{91}{125}\right)$	$e\left(\frac{1}{25}\right)$	$e\left(\frac{74}{125}\right)$	$e\left(\frac{33}{125}\right)$	$e\left(\frac{12}{125}\right)$	$e\left(\frac{113}{125}\right)$	$e\left(\frac{57}{125}\right)$	$e\left(\frac{59}{125}\right)$	$e\left(\frac{19}{125}\right)$