Dirichlet character χ3888(37,⋅)\chi_{3888}(37,\cdot)

• Label: 3888.37
• Modulus: $3888$
• Conductor: $1296$
• Order: $108$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$3888$
Conductor:	$1296$
Order:	$108$
Real:	no
Primitive:	no, induced from $\chi_{1296}(373,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 3888.bw

$\chi_{3888}(37,\cdot)$ $\chi_{3888}(181,\cdot)$ $\chi_{3888}(253,\cdot)$ $\chi_{3888}(397,\cdot)$ $\chi_{3888}(469,\cdot)$ $\chi_{3888}(613,\cdot)$ $\chi_{3888}(685,\cdot)$ $\chi_{3888}(829,\cdot)$ $\chi_{3888}(901,\cdot)$ $\chi_{3888}(1045,\cdot)$ $\chi_{3888}(1117,\cdot)$ $\chi_{3888}(1261,\cdot)$ $\chi_{3888}(1333,\cdot)$ $\chi_{3888}(1477,\cdot)$ $\chi_{3888}(1549,\cdot)$ $\chi_{3888}(1693,\cdot)$ $\chi_{3888}(1765,\cdot)$ $\chi_{3888}(1909,\cdot)$ $\chi_{3888}(1981,\cdot)$ $\chi_{3888}(2125,\cdot)$ $\chi_{3888}(2197,\cdot)$ $\chi_{3888}(2341,\cdot)$ $\chi_{3888}(2413,\cdot)$ $\chi_{3888}(2557,\cdot)$ $\chi_{3888}(2629,\cdot)$ $\chi_{3888}(2773,\cdot)$ $\chi_{3888}(2845,\cdot)$ $\chi_{3888}(2989,\cdot)$ $\chi_{3888}(3061,\cdot)$ $\chi_{3888}(3205,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{108})$
Fixed field:	Number field defined by a degree 108 polynomial (not computed)

Values on generators

$(2431,2917,1217)$ → $(1,i,e\left(\frac{16}{27}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 3888 }(37, a)$	$1$	$1$	$e\left(\frac{95}{108}\right)$	$e\left(\frac{53}{54}\right)$	$e\left(\frac{103}{108}\right)$	$e\left(\frac{53}{108}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{7}{36}\right)$	$e\left(\frac{1}{54}\right)$	$e\left(\frac{41}{54}\right)$	$e\left(\frac{73}{108}\right)$	$e\left(\frac{23}{27}\right)$