Dirichlet character χ3888(85,⋅)\chi_{3888}(85,\cdot)

• Label: 3888.85
• Modulus: $3888$
• Conductor: $3888$
• Order: $324$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 3888.ce

$\chi_{3888}(13,\cdot)$ $\chi_{3888}(61,\cdot)$ $\chi_{3888}(85,\cdot)$ $\chi_{3888}(133,\cdot)$ $\chi_{3888}(157,\cdot)$ $\chi_{3888}(205,\cdot)$ $\chi_{3888}(229,\cdot)$ $\chi_{3888}(277,\cdot)$ $\chi_{3888}(301,\cdot)$ $\chi_{3888}(349,\cdot)$ $\chi_{3888}(373,\cdot)$ $\chi_{3888}(421,\cdot)$ $\chi_{3888}(445,\cdot)$ $\chi_{3888}(493,\cdot)$ $\chi_{3888}(517,\cdot)$ $\chi_{3888}(565,\cdot)$ $\chi_{3888}(589,\cdot)$ $\chi_{3888}(637,\cdot)$ $\chi_{3888}(661,\cdot)$ $\chi_{3888}(709,\cdot)$ $\chi_{3888}(733,\cdot)$ $\chi_{3888}(781,\cdot)$ $\chi_{3888}(805,\cdot)$ $\chi_{3888}(853,\cdot)$ $\chi_{3888}(877,\cdot)$ $\chi_{3888}(925,\cdot)$ $\chi_{3888}(949,\cdot)$ $\chi_{3888}(997,\cdot)$ $\chi_{3888}(1021,\cdot)$ $\chi_{3888}(1069,\cdot)$ ...

Related number fields

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

Values on generators

$(2431,2917,1217)$ → $(1,i,e\left(\frac{28}{81}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 3888 }(85, a)$	$1$	$1$	$e\left(\frac{65}{324}\right)$	$e\left(\frac{113}{162}\right)$	$e\left(\frac{25}{324}\right)$	$e\left(\frac{167}{324}\right)$	$e\left(\frac{11}{27}\right)$	$e\left(\frac{73}{108}\right)$	$e\left(\frac{157}{162}\right)$	$e\left(\frac{65}{162}\right)$	$e\left(\frac{175}{324}\right)$	$e\left(\frac{74}{81}\right)$