Dirichlet character χ1328(791,⋅)\chi_{1328}(791,\cdot)

• Label: 1328.791
• Modulus: $1328$
• Conductor: $664$
• Order: $82$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$1328$
Conductor:	$664$
Order:	$82$
Real:	no
Primitive:	no, induced from $\chi_{664}(459,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 1328.p

$\chi_{1328}(7,\cdot)$ $\chi_{1328}(23,\cdot)$ $\chi_{1328}(87,\cdot)$ $\chi_{1328}(119,\cdot)$ $\chi_{1328}(151,\cdot)$ $\chi_{1328}(183,\cdot)$ $\chi_{1328}(199,\cdot)$ $\chi_{1328}(215,\cdot)$ $\chi_{1328}(231,\cdot)$ $\chi_{1328}(247,\cdot)$ $\chi_{1328}(279,\cdot)$ $\chi_{1328}(327,\cdot)$ $\chi_{1328}(343,\cdot)$ $\chi_{1328}(359,\cdot)$ $\chi_{1328}(391,\cdot)$ $\chi_{1328}(407,\cdot)$ $\chi_{1328}(455,\cdot)$ $\chi_{1328}(519,\cdot)$ $\chi_{1328}(535,\cdot)$ $\chi_{1328}(567,\cdot)$ $\chi_{1328}(695,\cdot)$ $\chi_{1328}(727,\cdot)$ $\chi_{1328}(759,\cdot)$ $\chi_{1328}(775,\cdot)$ $\chi_{1328}(791,\cdot)$ $\chi_{1328}(839,\cdot)$ $\chi_{1328}(855,\cdot)$ $\chi_{1328}(871,\cdot)$ $\chi_{1328}(951,\cdot)$ $\chi_{1328}(983,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{41})$
Fixed field:	Number field defined by a degree 82 polynomial

Values on generators

$(831,997,417)$ → $(-1,-1,e\left(\frac{13}{41}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 1328 }(791, a)$	$-1$	$1$	$e\left(\frac{34}{41}\right)$	$e\left(\frac{5}{82}\right)$	$e\left(\frac{3}{82}\right)$	$e\left(\frac{27}{41}\right)$	$e\left(\frac{25}{41}\right)$	$e\left(\frac{75}{82}\right)$	$e\left(\frac{73}{82}\right)$	$e\left(\frac{31}{41}\right)$	$e\left(\frac{37}{41}\right)$	$e\left(\frac{71}{82}\right)$