Dirichlet character χ3762(2225,⋅)\chi_{3762}(2225,\cdot)

• Label: 3762.2225
• Modulus: $3762$
• Conductor: $1881$
• Order: $90$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3762$
Conductor:	$1881$
Order:	$90$
Real:	no
Primitive:	no, induced from $\chi_{1881}(344,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3762.ed

$\chi_{3762}(203,\cdot)$ $\chi_{3762}(257,\cdot)$ $\chi_{3762}(509,\cdot)$ $\chi_{3762}(515,\cdot)$ $\chi_{3762}(599,\cdot)$ $\chi_{3762}(641,\cdot)$ $\chi_{3762}(839,\cdot)$ $\chi_{3762}(851,\cdot)$ $\chi_{3762}(983,\cdot)$ $\chi_{3762}(1181,\cdot)$ $\chi_{3762}(1193,\cdot)$ $\chi_{3762}(1325,\cdot)$ $\chi_{3762}(1523,\cdot)$ $\chi_{3762}(1571,\cdot)$ $\chi_{3762}(1967,\cdot)$ $\chi_{3762}(2225,\cdot)$ $\chi_{3762}(2561,\cdot)$ $\chi_{3762}(2567,\cdot)$ $\chi_{3762}(2693,\cdot)$ $\chi_{3762}(2891,\cdot)$ $\chi_{3762}(2909,\cdot)$ $\chi_{3762}(3281,\cdot)$ $\chi_{3762}(3623,\cdot)$ $\chi_{3762}(3677,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Values on generators

$(2927,343,2377)$ → $(e\left(\frac{1}{6}\right),e\left(\frac{4}{5}\right),e\left(\frac{1}{18}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$13$	$17$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 3762 }(2225, a)$	$1$	$1$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{1}{10}\right)$