Dirichlet character χ4140(2623,⋅)\chi_{4140}(2623,\cdot)

• Label: 4140.2623
• Modulus: $4140$
• Conductor: $180$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4140$
Conductor:	$180$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{180}(103,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4140.bw

$\chi_{4140}(967,\cdot)$ $\chi_{4140}(2347,\cdot)$ $\chi_{4140}(2623,\cdot)$ $\chi_{4140}(4003,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.344373768000000000.1

Values on generators

$(2071,461,1657,3961)$ → $(-1,e\left(\frac{1}{3}\right),-i,1)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 4140 }(2623, a)$	$1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$-i$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$-i$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$