Dirichlet character χ1254(667,⋅)\chi_{1254}(667,\cdot)

• Label: 1254.667
• Modulus: $1254$
• Conductor: $209$
• Order: $90$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1254$
Conductor:	$209$
Order:	$90$
Real:	no
Primitive:	no, induced from $\chi_{209}(40,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1254.bp

$\chi_{1254}(13,\cdot)$ $\chi_{1254}(79,\cdot)$ $\chi_{1254}(127,\cdot)$ $\chi_{1254}(193,\cdot)$ $\chi_{1254}(205,\cdot)$ $\chi_{1254}(211,\cdot)$ $\chi_{1254}(325,\cdot)$ $\chi_{1254}(337,\cdot)$ $\chi_{1254}(409,\cdot)$ $\chi_{1254}(469,\cdot)$ $\chi_{1254}(523,\cdot)$ $\chi_{1254}(535,\cdot)$ $\chi_{1254}(547,\cdot)$ $\chi_{1254}(667,\cdot)$ $\chi_{1254}(679,\cdot)$ $\chi_{1254}(811,\cdot)$ $\chi_{1254}(865,\cdot)$ $\chi_{1254}(877,\cdot)$ $\chi_{1254}(1003,\cdot)$ $\chi_{1254}(1009,\cdot)$ $\chi_{1254}(1117,\cdot)$ $\chi_{1254}(1135,\cdot)$ $\chi_{1254}(1207,\cdot)$ $\chi_{1254}(1249,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Values on generators

$(419,343,1123)$ → $(1,e\left(\frac{7}{10}\right),e\left(\frac{1}{18}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$13$	$17$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 1254 }(667, a)$	$1$	$1$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{9}{10}\right)$