Dirichlet character χ1125(391,⋅)\chi_{1125}(391,\cdot)

• Label: 1125.391
• Modulus: $1125$
• Conductor: $1125$
• Order: $75$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1125$
Conductor:	$1125$
Order:	$75$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1125.bc

$\chi_{1125}(16,\cdot)$ $\chi_{1125}(31,\cdot)$ $\chi_{1125}(61,\cdot)$ $\chi_{1125}(106,\cdot)$ $\chi_{1125}(121,\cdot)$ $\chi_{1125}(166,\cdot)$ $\chi_{1125}(196,\cdot)$ $\chi_{1125}(211,\cdot)$ $\chi_{1125}(241,\cdot)$ $\chi_{1125}(256,\cdot)$ $\chi_{1125}(286,\cdot)$ $\chi_{1125}(331,\cdot)$ $\chi_{1125}(346,\cdot)$ $\chi_{1125}(391,\cdot)$ $\chi_{1125}(421,\cdot)$ $\chi_{1125}(436,\cdot)$ $\chi_{1125}(466,\cdot)$ $\chi_{1125}(481,\cdot)$ $\chi_{1125}(511,\cdot)$ $\chi_{1125}(556,\cdot)$ $\chi_{1125}(571,\cdot)$ $\chi_{1125}(616,\cdot)$ $\chi_{1125}(646,\cdot)$ $\chi_{1125}(661,\cdot)$ $\chi_{1125}(691,\cdot)$ $\chi_{1125}(706,\cdot)$ $\chi_{1125}(736,\cdot)$ $\chi_{1125}(781,\cdot)$ $\chi_{1125}(796,\cdot)$ $\chi_{1125}(841,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{75})$
Fixed field:	Number field defined by a degree 75 polynomial

Values on generators

$(1001,127)$ → $(e\left(\frac{1}{3}\right),e\left(\frac{1}{25}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1125 }(391, a)$	$1$	$1$	$e\left(\frac{28}{75}\right)$	$e\left(\frac{56}{75}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{28}{75}\right)$	$e\left(\frac{17}{75}\right)$	$e\left(\frac{8}{75}\right)$	$e\left(\frac{37}{75}\right)$	$e\left(\frac{23}{25}\right)$	$e\left(\frac{18}{25}\right)$