Dirichlet character χ7605(16,⋅)\chi_{7605}(16,\cdot)

• Label: 7605.16
• Modulus: $7605$
• Conductor: $1521$
• Order: $39$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$7605$
Conductor:	$1521$
Order:	$39$
Real:	no
Primitive:	no, induced from $\chi_{1521}(16,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 7605.ee

$\chi_{7605}(16,\cdot)$ $\chi_{7605}(256,\cdot)$ $\chi_{7605}(601,\cdot)$ $\chi_{7605}(841,\cdot)$ $\chi_{7605}(1186,\cdot)$ $\chi_{7605}(1426,\cdot)$ $\chi_{7605}(1771,\cdot)$ $\chi_{7605}(2011,\cdot)$ $\chi_{7605}(2356,\cdot)$ $\chi_{7605}(2596,\cdot)$ $\chi_{7605}(2941,\cdot)$ $\chi_{7605}(3181,\cdot)$ $\chi_{7605}(3766,\cdot)$ $\chi_{7605}(4111,\cdot)$ $\chi_{7605}(4351,\cdot)$ $\chi_{7605}(4696,\cdot)$ $\chi_{7605}(4936,\cdot)$ $\chi_{7605}(5281,\cdot)$ $\chi_{7605}(5521,\cdot)$ $\chi_{7605}(5866,\cdot)$ $\chi_{7605}(6451,\cdot)$ $\chi_{7605}(6691,\cdot)$ $\chi_{7605}(7036,\cdot)$ $\chi_{7605}(7276,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{39})$
Fixed field:	Number field defined by a degree 39 polynomial

Values on generators

$(6761,1522,6931)$ → $(e\left(\frac{2}{3}\right),1,e\left(\frac{1}{39}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$14$	$16$	$17$	$19$	$22$
$\chi_{ 7605 }(16, a)$	$1$	$1$	$e\left(\frac{9}{13}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{16}{39}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{4}{39}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{29}{39}\right)$	$e\left(\frac{2}{3}\right)$	$1$