Dirichlet character χ1125(847,⋅)\chi_{1125}(847,\cdot)

• Label: 1125.847
• Modulus: $1125$
• Conductor: $125$
• Order: $100$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1125$
Conductor:	$125$
Order:	$100$
Real:	no
Primitive:	no, induced from $\chi_{125}(97,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 1125.bd

$\chi_{1125}(28,\cdot)$ $\chi_{1125}(37,\cdot)$ $\chi_{1125}(73,\cdot)$ $\chi_{1125}(127,\cdot)$ $\chi_{1125}(163,\cdot)$ $\chi_{1125}(172,\cdot)$ $\chi_{1125}(208,\cdot)$ $\chi_{1125}(217,\cdot)$ $\chi_{1125}(253,\cdot)$ $\chi_{1125}(262,\cdot)$ $\chi_{1125}(298,\cdot)$ $\chi_{1125}(352,\cdot)$ $\chi_{1125}(388,\cdot)$ $\chi_{1125}(397,\cdot)$ $\chi_{1125}(433,\cdot)$ $\chi_{1125}(442,\cdot)$ $\chi_{1125}(478,\cdot)$ $\chi_{1125}(487,\cdot)$ $\chi_{1125}(523,\cdot)$ $\chi_{1125}(577,\cdot)$ $\chi_{1125}(613,\cdot)$ $\chi_{1125}(622,\cdot)$ $\chi_{1125}(658,\cdot)$ $\chi_{1125}(667,\cdot)$ $\chi_{1125}(703,\cdot)$ $\chi_{1125}(712,\cdot)$ $\chi_{1125}(748,\cdot)$ $\chi_{1125}(802,\cdot)$ $\chi_{1125}(838,\cdot)$ $\chi_{1125}(847,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{100})$
Fixed field:	Number field defined by a degree 100 polynomial

Values on generators

$(1001,127)$ → $(1,e\left(\frac{37}{100}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1125 }(847, a)$	$-1$	$1$	$e\left(\frac{37}{100}\right)$	$e\left(\frac{37}{50}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{100}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{43}{100}\right)$	$e\left(\frac{41}{50}\right)$	$e\left(\frac{12}{25}\right)$	$e\left(\frac{1}{100}\right)$	$e\left(\frac{33}{50}\right)$