Dirichlet character χ2888(1141,⋅)\chi_{2888}(1141,\cdot)

• Label: 2888.1141
• Modulus: $2888$
• Conductor: $2888$
• Order: $38$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2888$
Conductor:	$2888$
Order:	$38$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2888.be

$\chi_{2888}(77,\cdot)$ $\chi_{2888}(229,\cdot)$ $\chi_{2888}(381,\cdot)$ $\chi_{2888}(533,\cdot)$ $\chi_{2888}(685,\cdot)$ $\chi_{2888}(837,\cdot)$ $\chi_{2888}(989,\cdot)$ $\chi_{2888}(1141,\cdot)$ $\chi_{2888}(1293,\cdot)$ $\chi_{2888}(1597,\cdot)$ $\chi_{2888}(1749,\cdot)$ $\chi_{2888}(1901,\cdot)$ $\chi_{2888}(2053,\cdot)$ $\chi_{2888}(2205,\cdot)$ $\chi_{2888}(2357,\cdot)$ $\chi_{2888}(2509,\cdot)$ $\chi_{2888}(2661,\cdot)$ $\chi_{2888}(2813,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{19})$
Fixed field:	Number field defined by a degree 38 polynomial

Values on generators

$(2167,1445,2529)$ → $(1,-1,e\left(\frac{1}{19}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 2888 }(1141, a)$	$1$	$1$	$e\left(\frac{31}{38}\right)$	$e\left(\frac{27}{38}\right)$	$e\left(\frac{17}{19}\right)$	$e\left(\frac{12}{19}\right)$	$e\left(\frac{33}{38}\right)$	$e\left(\frac{31}{38}\right)$	$e\left(\frac{10}{19}\right)$	$e\left(\frac{17}{19}\right)$	$e\left(\frac{27}{38}\right)$	$e\left(\frac{13}{19}\right)$