Dirichlet character χ2664(389,⋅)\chi_{2664}(389,\cdot)

• Label: 2664.389
• Modulus: $2664$
• Conductor: $2664$
• Order: $36$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2664$
Conductor:	$2664$
Order:	$36$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2664.gy

$\chi_{2664}(389,\cdot)$ $\chi_{2664}(605,\cdot)$ $\chi_{2664}(725,\cdot)$ $\chi_{2664}(797,\cdot)$ $\chi_{2664}(893,\cdot)$ $\chi_{2664}(1253,\cdot)$ $\chi_{2664}(1445,\cdot)$ $\chi_{2664}(1541,\cdot)$ $\chi_{2664}(1589,\cdot)$ $\chi_{2664}(1757,\cdot)$ $\chi_{2664}(2237,\cdot)$ $\chi_{2664}(2309,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{36})$
Fixed field:	36.36.8076586766812485233558939287824714831423086707479290364185133590224962133001181886423028704739328.1

Values on generators

$(1999,1333,2369,1297)$ → $(1,-1,e\left(\frac{1}{6}\right),e\left(\frac{35}{36}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 2664 }(389, a)$	$1$	$1$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{19}{36}\right)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{19}{36}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{12}\right)$