Dirichlet character χ4650(2551,⋅)\chi_{4650}(2551,\cdot)

• Label: 4650.2551
• Modulus: $4650$
• Conductor: $31$
• Order: $15$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4650$
Conductor:	$31$
Order:	$15$
Real:	no
Primitive:	no, induced from $\chi_{31}(9,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4650.cx

$\chi_{4650}(751,\cdot)$ $\chi_{4650}(1051,\cdot)$ $\chi_{4650}(1351,\cdot)$ $\chi_{4650}(2251,\cdot)$ $\chi_{4650}(2401,\cdot)$ $\chi_{4650}(2551,\cdot)$ $\chi_{4650}(3151,\cdot)$ $\chi_{4650}(3451,\cdot)$

Related number fields

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

Values on generators

$(3101,2977,1801)$ → $(1,1,e\left(\frac{1}{15}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$37$	$41$	$43$
$\chi_{ 4650 }(2551, a)$	$1$	$1$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{4}{15}\right)$