Dirichlet character χ1035(569,⋅)\chi_{1035}(569,\cdot)

• Label: 1035.569
• Modulus: $1035$
• Conductor: $1035$
• Order: $66$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1035$
Conductor:	$1035$
Order:	$66$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1035.br

$\chi_{1035}(14,\cdot)$ $\chi_{1035}(74,\cdot)$ $\chi_{1035}(149,\cdot)$ $\chi_{1035}(194,\cdot)$ $\chi_{1035}(329,\cdot)$ $\chi_{1035}(389,\cdot)$ $\chi_{1035}(419,\cdot)$ $\chi_{1035}(434,\cdot)$ $\chi_{1035}(479,\cdot)$ $\chi_{1035}(569,\cdot)$ $\chi_{1035}(659,\cdot)$ $\chi_{1035}(704,\cdot)$ $\chi_{1035}(734,\cdot)$ $\chi_{1035}(779,\cdot)$ $\chi_{1035}(824,\cdot)$ $\chi_{1035}(839,\cdot)$ $\chi_{1035}(884,\cdot)$ $\chi_{1035}(914,\cdot)$ $\chi_{1035}(1004,\cdot)$ $\chi_{1035}(1019,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{33})$
Fixed field:	Number field defined by a degree 66 polynomial

Values on generators

$(461,622,856)$ → $(e\left(\frac{1}{6}\right),-1,e\left(\frac{7}{22}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1035 }(569, a)$	$1$	$1$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{20}{33}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{17}{22}\right)$