Dirichlet character χ1480(1053,⋅)\chi_{1480}(1053,\cdot)

• Label: 1480.1053
• 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.ed

$\chi_{1480}(13,\cdot)$ $\chi_{1480}(93,\cdot)$ $\chi_{1480}(133,\cdot)$ $\chi_{1480}(237,\cdot)$ $\chi_{1480}(277,\cdot)$ $\chi_{1480}(357,\cdot)$ $\chi_{1480}(557,\cdot)$ $\chi_{1480}(797,\cdot)$ $\chi_{1480}(893,\cdot)$ $\chi_{1480}(957,\cdot)$ $\chi_{1480}(1053,\cdot)$ $\chi_{1480}(1293,\cdot)$

Related number fields

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

Values on generators

$(1111,741,297,1001)$ → $(1,-1,-i,e\left(\frac{7}{36}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 1480 }(1053, a)$	$1$	$1$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{35}{36}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$