Dirichlet character χ1480(1043,⋅)\chi_{1480}(1043,\cdot)

• Label: 1480.1043
• Modulus: $1480$
• Conductor: $1480$
• Order: $36$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1480$
Conductor:	$1480$
Order:	$36$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1480.dw

$\chi_{1480}(83,\cdot)$ $\chi_{1480}(107,\cdot)$ $\chi_{1480}(123,\cdot)$ $\chi_{1480}(403,\cdot)$ $\chi_{1480}(747,\cdot)$ $\chi_{1480}(867,\cdot)$ $\chi_{1480}(1043,\cdot)$ $\chi_{1480}(1107,\cdot)$ $\chi_{1480}(1163,\cdot)$ $\chi_{1480}(1267,\cdot)$ $\chi_{1480}(1307,\cdot)$ $\chi_{1480}(1403,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{36})$
Fixed field:	Number field defined by a degree 36 polynomial

Values on generators

$(1111,741,297,1001)$ → $(-1,-1,-i,e\left(\frac{8}{9}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 1480 }(1043, a)$	$1$	$1$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{19}{36}\right)$	$e\left(\frac{35}{36}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{12}\right)$