Dirichlet character χ3360(1811,⋅)\chi_{3360}(1811,\cdot)

• Label: 3360.1811
• Modulus: $3360$
• Conductor: $672$
• Order: $24$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3360$
Conductor:	$672$
Order:	$24$
Real:	no
Primitive:	no, induced from $\chi_{672}(467,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 3360.ii

$\chi_{3360}(131,\cdot)$ $\chi_{3360}(731,\cdot)$ $\chi_{3360}(971,\cdot)$ $\chi_{3360}(1571,\cdot)$ $\chi_{3360}(1811,\cdot)$ $\chi_{3360}(2411,\cdot)$ $\chi_{3360}(2651,\cdot)$ $\chi_{3360}(3251,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{24})$
Fixed field:	24.0.419957608266393538093113781921531638278568932278272.1

Values on generators

$(1471,421,1121,2017,1921)$ → $(-1,e\left(\frac{7}{8}\right),-1,1,e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 3360 }(1811, a)$	$-1$	$1$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{13}{24}\right)$	$i$	$e\left(\frac{7}{8}\right)$