Dirichlet character χ2236(1095,⋅)\chi_{2236}(1095,\cdot)

• Label: 2236.1095
• Modulus: $2236$
• Conductor: $2236$
• Order: $42$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2236$
Conductor:	$2236$
Order:	$42$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2236.cz

$\chi_{2236}(3,\cdot)$ $\chi_{2236}(55,\cdot)$ $\chi_{2236}(243,\cdot)$ $\chi_{2236}(263,\cdot)$ $\chi_{2236}(503,\cdot)$ $\chi_{2236}(1023,\cdot)$ $\chi_{2236}(1095,\cdot)$ $\chi_{2236}(1179,\cdot)$ $\chi_{2236}(1491,\cdot)$ $\chi_{2236}(1667,\cdot)$ $\chi_{2236}(2083,\cdot)$ $\chi_{2236}(2219,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{21})$
Fixed field:	Number field defined by a degree 42 polynomial

Values on generators

$(1119,1549,261)$ → $(-1,e\left(\frac{1}{3}\right),e\left(\frac{37}{42}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 2236 }(1095, a)$	$1$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{42}\right)$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{13}{14}\right)$