Dirichlet character χ4840(947,⋅)\chi_{4840}(947,\cdot)

• Label: 4840.947
• Modulus: $4840$
• Conductor: $4840$
• Order: $44$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4840$
Conductor:	$4840$
Order:	$44$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4840.cs

$\chi_{4840}(67,\cdot)$ $\chi_{4840}(507,\cdot)$ $\chi_{4840}(683,\cdot)$ $\chi_{4840}(947,\cdot)$ $\chi_{4840}(1123,\cdot)$ $\chi_{4840}(1387,\cdot)$ $\chi_{4840}(1563,\cdot)$ $\chi_{4840}(1827,\cdot)$ $\chi_{4840}(2003,\cdot)$ $\chi_{4840}(2267,\cdot)$ $\chi_{4840}(2443,\cdot)$ $\chi_{4840}(2707,\cdot)$ $\chi_{4840}(2883,\cdot)$ $\chi_{4840}(3323,\cdot)$ $\chi_{4840}(3587,\cdot)$ $\chi_{4840}(3763,\cdot)$ $\chi_{4840}(4027,\cdot)$ $\chi_{4840}(4203,\cdot)$ $\chi_{4840}(4467,\cdot)$ $\chi_{4840}(4643,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{44})$
Fixed field:	Number field defined by a degree 44 polynomial

Values on generators

$(3631,2421,1937,4721)$ → $(-1,-1,i,e\left(\frac{4}{11}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$13$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 4840 }(947, a)$	$1$	$1$	$-i$	$e\left(\frac{13}{44}\right)$	$-1$	$e\left(\frac{43}{44}\right)$	$e\left(\frac{3}{44}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{31}{44}\right)$	$i$	$e\left(\frac{2}{11}\right)$