Dirichlet character χ9680(2029,⋅)\chi_{9680}(2029,\cdot)

• Label: 9680.2029
• Modulus: $9680$
• Conductor: $9680$
• Order: $220$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$9680$
Conductor:	$9680$
Order:	$220$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 9680.fw

$\chi_{9680}(69,\cdot)$ $\chi_{9680}(229,\cdot)$ $\chi_{9680}(389,\cdot)$ $\chi_{9680}(509,\cdot)$ $\chi_{9680}(669,\cdot)$ $\chi_{9680}(709,\cdot)$ $\chi_{9680}(829,\cdot)$ $\chi_{9680}(949,\cdot)$ $\chi_{9680}(1109,\cdot)$ $\chi_{9680}(1149,\cdot)$ $\chi_{9680}(1269,\cdot)$ $\chi_{9680}(1389,\cdot)$ $\chi_{9680}(1549,\cdot)$ $\chi_{9680}(1589,\cdot)$ $\chi_{9680}(1709,\cdot)$ $\chi_{9680}(1829,\cdot)$ $\chi_{9680}(1989,\cdot)$ $\chi_{9680}(2029,\cdot)$ $\chi_{9680}(2149,\cdot)$ $\chi_{9680}(2269,\cdot)$ $\chi_{9680}(2469,\cdot)$ $\chi_{9680}(2589,\cdot)$ $\chi_{9680}(2709,\cdot)$ $\chi_{9680}(2869,\cdot)$ $\chi_{9680}(2909,\cdot)$ $\chi_{9680}(3029,\cdot)$ $\chi_{9680}(3309,\cdot)$ $\chi_{9680}(3349,\cdot)$ $\chi_{9680}(3589,\cdot)$ $\chi_{9680}(3749,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{220})$
Fixed field:	Number field defined by a degree 220 polynomial (not computed)

Values on generators

$(3631,2421,1937,4721)$ → $(1,-i,-1,e\left(\frac{32}{55}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$13$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 9680 }(2029, a)$	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{113}{220}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{119}{220}\right)$	$e\left(\frac{1}{44}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{31}{220}\right)$