Dirichlet character χ4650(4229,⋅)\chi_{4650}(4229,\cdot)

• Label: 4650.4229
• Modulus: $4650$
• Conductor: $2325$
• Order: $30$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4650$
Conductor:	$2325$
Order:	$30$
Real:	no
Primitive:	no, induced from $\chi_{2325}(1904,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4650.ep

$\chi_{4650}(269,\cdot)$ $\chi_{4650}(1469,\cdot)$ $\chi_{4650}(2039,\cdot)$ $\chi_{4650}(3959,\cdot)$ $\chi_{4650}(4109,\cdot)$ $\chi_{4650}(4229,\cdot)$ $\chi_{4650}(4289,\cdot)$ $\chi_{4650}(4529,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{15})$
Fixed field:	Number field defined by a degree 30 polynomial

Values on generators

$(3101,2977,1801)$ → $(-1,e\left(\frac{1}{10}\right),e\left(\frac{11}{30}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$37$	$41$	$43$
$\chi_{ 4650 }(4229, a)$	$1$	$1$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{4}{15}\right)$	$-1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{15}\right)$