Dirichlet character χ4650(4427,⋅)\chi_{4650}(4427,\cdot)

• Label: 4650.4427
• Modulus: $4650$
• Conductor: $2325$
• Order: $60$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4650$
Conductor:	$2325$
Order:	$60$
Real:	no
Primitive:	no, induced from $\chi_{2325}(2102,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4650.ft

$\chi_{4650}(377,\cdot)$ $\chi_{4650}(563,\cdot)$ $\chi_{4650}(1637,\cdot)$ $\chi_{4650}(1823,\cdot)$ $\chi_{4650}(2237,\cdot)$ $\chi_{4650}(2423,\cdot)$ $\chi_{4650}(2567,\cdot)$ $\chi_{4650}(2753,\cdot)$ $\chi_{4650}(3167,\cdot)$ $\chi_{4650}(3353,\cdot)$ $\chi_{4650}(3497,\cdot)$ $\chi_{4650}(3683,\cdot)$ $\chi_{4650}(4097,\cdot)$ $\chi_{4650}(4283,\cdot)$ $\chi_{4650}(4427,\cdot)$ $\chi_{4650}(4613,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(3101,2977,1801)$ → $(-1,e\left(\frac{1}{20}\right),e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$37$	$41$	$43$
$\chi_{ 4650 }(4427, a)$	$1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{12}\right)$