Dirichlet character χ1125(43,⋅)\chi_{1125}(43,\cdot)

• Label: 1125.43
• Modulus: $1125$
• Conductor: $225$
• Order: $60$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$1125$
Conductor:	$225$
Order:	$60$
Real:	no
Primitive:	no, induced from $\chi_{225}(88,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 1125.bb

$\chi_{1125}(7,\cdot)$ $\chi_{1125}(43,\cdot)$ $\chi_{1125}(157,\cdot)$ $\chi_{1125}(232,\cdot)$ $\chi_{1125}(268,\cdot)$ $\chi_{1125}(382,\cdot)$ $\chi_{1125}(418,\cdot)$ $\chi_{1125}(457,\cdot)$ $\chi_{1125}(493,\cdot)$ $\chi_{1125}(607,\cdot)$ $\chi_{1125}(643,\cdot)$ $\chi_{1125}(718,\cdot)$ $\chi_{1125}(832,\cdot)$ $\chi_{1125}(868,\cdot)$ $\chi_{1125}(907,\cdot)$ $\chi_{1125}(1093,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(1001,127)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{19}{20}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1125 }(43, a)$	$-1$	$1$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{10}\right)$