Dirichlet character χ100315(2126,⋅)\chi_{100315}(2126,\cdot)

• Label: 100315.2126
• Modulus: $100315$
• Conductor: $20063$
• Order: $1433$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$100315$
Conductor:	$20063$
Order:	$1433$
Real:	no
Primitive:	no, induced from $\chi_{20063}(2126,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 100315.m

$\chi_{100315}(16,\cdot)$ $\chi_{100315}(146,\cdot)$ $\chi_{100315}(211,\cdot)$ $\chi_{100315}(256,\cdot)$ $\chi_{100315}(281,\cdot)$ $\chi_{100315}(376,\cdot)$ $\chi_{100315}(446,\cdot)$ $\chi_{100315}(696,\cdot)$ $\chi_{100315}(726,\cdot)$ $\chi_{100315}(796,\cdot)$ $\chi_{100315}(891,\cdot)$ $\chi_{100315}(941,\cdot)$ $\chi_{100315}(971,\cdot)$ $\chi_{100315}(981,\cdot)$ $\chi_{100315}(1096,\cdot)$ $\chi_{100315}(1201,\cdot)$ $\chi_{100315}(1226,\cdot)$ $\chi_{100315}(1301,\cdot)$ $\chi_{100315}(1311,\cdot)$ $\chi_{100315}(1461,\cdot)$ $\chi_{100315}(1506,\cdot)$ $\chi_{100315}(1751,\cdot)$ $\chi_{100315}(1801,\cdot)$ $\chi_{100315}(1826,\cdot)$ $\chi_{100315}(1916,\cdot)$ $\chi_{100315}(1981,\cdot)$ $\chi_{100315}(2086,\cdot)$ $\chi_{100315}(2126,\cdot)$ $\chi_{100315}(2166,\cdot)$ $\chi_{100315}(2181,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{1433})$
Fixed field:	Number field defined by a degree 1433 polynomial (not computed)

Values on generators

$(40127,40131)$ → $(1,e\left(\frac{793}{1433}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 100315 }(2126, a)$	$1$	$1$	$e\left(\frac{1123}{1433}\right)$	$e\left(\frac{637}{1433}\right)$	$e\left(\frac{813}{1433}\right)$	$e\left(\frac{327}{1433}\right)$	$e\left(\frac{348}{1433}\right)$	$e\left(\frac{503}{1433}\right)$	$e\left(\frac{1274}{1433}\right)$	$e\left(\frac{1085}{1433}\right)$	$e\left(\frac{17}{1433}\right)$	$e\left(\frac{1341}{1433}\right)$