Dirichlet character χ2420(1299,⋅)\chi_{2420}(1299,\cdot)

• Label: 2420.1299
• Modulus: $2420$
• Conductor: $2420$
• Order: $22$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2420$
Conductor:	$2420$
Order:	$22$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2420.bd

$\chi_{2420}(199,\cdot)$ $\chi_{2420}(419,\cdot)$ $\chi_{2420}(639,\cdot)$ $\chi_{2420}(859,\cdot)$ $\chi_{2420}(1079,\cdot)$ $\chi_{2420}(1299,\cdot)$ $\chi_{2420}(1519,\cdot)$ $\chi_{2420}(1739,\cdot)$ $\chi_{2420}(1959,\cdot)$ $\chi_{2420}(2399,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{11})$
Fixed field:	Number field defined by a degree 22 polynomial

Values on generators

$(1211,1937,2301)$ → $(-1,-1,e\left(\frac{6}{11}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$13$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 2420 }(1299, a)$	$-1$	$1$	$1$	$e\left(\frac{9}{11}\right)$	$1$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{2}{11}\right)$	$1$	$e\left(\frac{3}{11}\right)$