Dirichlet character χ3888(43,⋅)\chi_{3888}(43,\cdot)

• Label: 3888.43
• Modulus: $3888$
• Conductor: $3888$
• Order: $324$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3888$
Conductor:	$3888$
Order:	$324$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3888.cf

$\chi_{3888}(43,\cdot)$ $\chi_{3888}(67,\cdot)$ $\chi_{3888}(115,\cdot)$ $\chi_{3888}(139,\cdot)$ $\chi_{3888}(187,\cdot)$ $\chi_{3888}(211,\cdot)$ $\chi_{3888}(259,\cdot)$ $\chi_{3888}(283,\cdot)$ $\chi_{3888}(331,\cdot)$ $\chi_{3888}(355,\cdot)$ $\chi_{3888}(403,\cdot)$ $\chi_{3888}(427,\cdot)$ $\chi_{3888}(475,\cdot)$ $\chi_{3888}(499,\cdot)$ $\chi_{3888}(547,\cdot)$ $\chi_{3888}(571,\cdot)$ $\chi_{3888}(619,\cdot)$ $\chi_{3888}(643,\cdot)$ $\chi_{3888}(691,\cdot)$ $\chi_{3888}(715,\cdot)$ $\chi_{3888}(763,\cdot)$ $\chi_{3888}(787,\cdot)$ $\chi_{3888}(835,\cdot)$ $\chi_{3888}(859,\cdot)$ $\chi_{3888}(907,\cdot)$ $\chi_{3888}(931,\cdot)$ $\chi_{3888}(979,\cdot)$ $\chi_{3888}(1003,\cdot)$ $\chi_{3888}(1051,\cdot)$ $\chi_{3888}(1075,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{324})$
Fixed field:	Number field defined by a degree 324 polynomial (not computed)

Values on generators

$(2431,2917,1217)$ → $(-1,i,e\left(\frac{65}{81}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 3888 }(43, a)$	$-1$	$1$	$e\left(\frac{229}{324}\right)$	$e\left(\frac{14}{81}\right)$	$e\left(\frac{275}{324}\right)$	$e\left(\frac{55}{324}\right)$	$e\left(\frac{13}{27}\right)$	$e\left(\frac{47}{108}\right)$	$e\left(\frac{13}{81}\right)$	$e\left(\frac{67}{162}\right)$	$e\left(\frac{143}{324}\right)$	$e\left(\frac{89}{162}\right)$