Dirichlet character χ1957(1085,⋅)\chi_{1957}(1085,\cdot)

• Label: 1957.1085
• Modulus: $1957$
• Conductor: $1957$
• Order: $306$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1957$
Conductor:	$1957$
Order:	$306$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1957.ce

$\chi_{1957}(2,\cdot)$ $\chi_{1957}(15,\cdot)$ $\chi_{1957}(32,\cdot)$ $\chi_{1957}(41,\cdot)$ $\chi_{1957}(59,\cdot)$ $\chi_{1957}(60,\cdot)$ $\chi_{1957}(91,\cdot)$ $\chi_{1957}(97,\cdot)$ $\chi_{1957}(110,\cdot)$ $\chi_{1957}(128,\cdot)$ $\chi_{1957}(231,\cdot)$ $\chi_{1957}(238,\cdot)$ $\chi_{1957}(261,\cdot)$ $\chi_{1957}(298,\cdot)$ $\chi_{1957}(325,\cdot)$ $\chi_{1957}(337,\cdot)$ $\chi_{1957}(364,\cdot)$ $\chi_{1957}(440,\cdot)$ $\chi_{1957}(450,\cdot)$ $\chi_{1957}(504,\cdot)$ $\chi_{1957}(534,\cdot)$ $\chi_{1957}(547,\cdot)$ $\chi_{1957}(656,\cdot)$ $\chi_{1957}(667,\cdot)$ $\chi_{1957}(686,\cdot)$ $\chi_{1957}(716,\cdot)$ $\chi_{1957}(754,\cdot)$ $\chi_{1957}(762,\cdot)$ $\chi_{1957}(773,\cdot)$ $\chi_{1957}(781,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{153})$
Fixed field:	Number field defined by a degree 306 polynomial (not computed)

Values on generators

$(1237,932)$ → $(e\left(\frac{1}{18}\right),e\left(\frac{31}{51}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 1957 }(1085, a)$	$-1$	$1$	$e\left(\frac{245}{306}\right)$	$e\left(\frac{131}{306}\right)$	$e\left(\frac{92}{153}\right)$	$e\left(\frac{76}{153}\right)$	$e\left(\frac{35}{153}\right)$	$e\left(\frac{13}{17}\right)$	$e\left(\frac{41}{102}\right)$	$e\left(\frac{131}{153}\right)$	$e\left(\frac{91}{306}\right)$	$e\left(\frac{38}{51}\right)$