Dirichlet character χ7605(1423,⋅)\chi_{7605}(1423,\cdot)

• Label: 7605.1423
• Modulus: $7605$
• Conductor: $845$
• Order: $156$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$7605$
Conductor:	$845$
Order:	$156$
Real:	no
Primitive:	no, induced from $\chi_{845}(578,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 7605.gc

$\chi_{7605}(28,\cdot)$ $\chi_{7605}(37,\cdot)$ $\chi_{7605}(253,\cdot)$ $\chi_{7605}(397,\cdot)$ $\chi_{7605}(613,\cdot)$ $\chi_{7605}(622,\cdot)$ $\chi_{7605}(838,\cdot)$ $\chi_{7605}(982,\cdot)$ $\chi_{7605}(1198,\cdot)$ $\chi_{7605}(1207,\cdot)$ $\chi_{7605}(1423,\cdot)$ $\chi_{7605}(1567,\cdot)$ $\chi_{7605}(1783,\cdot)$ $\chi_{7605}(1792,\cdot)$ $\chi_{7605}(2008,\cdot)$ $\chi_{7605}(2152,\cdot)$ $\chi_{7605}(2368,\cdot)$ $\chi_{7605}(2377,\cdot)$ $\chi_{7605}(2593,\cdot)$ $\chi_{7605}(2737,\cdot)$ $\chi_{7605}(3178,\cdot)$ $\chi_{7605}(3322,\cdot)$ $\chi_{7605}(3538,\cdot)$ $\chi_{7605}(3547,\cdot)$ $\chi_{7605}(3763,\cdot)$ $\chi_{7605}(3907,\cdot)$ $\chi_{7605}(4123,\cdot)$ $\chi_{7605}(4132,\cdot)$ $\chi_{7605}(4348,\cdot)$ $\chi_{7605}(4492,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{156})$
Fixed field:	Number field defined by a degree 156 polynomial (not computed)

Values on generators

$(6761,1522,6931)$ → $(1,-i,e\left(\frac{137}{156}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$14$	$16$	$17$	$19$	$22$
$\chi_{ 7605 }(1423, a)$	$1$	$1$	$e\left(\frac{49}{78}\right)$	$e\left(\frac{10}{39}\right)$	$e\left(\frac{28}{39}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{71}{156}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{20}{39}\right)$	$e\left(\frac{151}{156}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{12}\right)$