Dirichlet character χ3040(1603,⋅)\chi_{3040}(1603,\cdot)

• Label: 3040.1603
• Modulus: $3040$
• Conductor: $3040$
• Order: $24$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3040$
Conductor:	$3040$
Order:	$24$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3040.ev

$\chi_{3040}(83,\cdot)$ $\chi_{3040}(163,\cdot)$ $\chi_{3040}(1147,\cdot)$ $\chi_{3040}(1227,\cdot)$ $\chi_{3040}(1603,\cdot)$ $\chi_{3040}(1683,\cdot)$ $\chi_{3040}(2667,\cdot)$ $\chi_{3040}(2747,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{24})$
Fixed field:	Number field defined by a degree 24 polynomial

Values on generators

$(191,2661,1217,1921)$ → $(-1,e\left(\frac{3}{8}\right),-i,e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$21$	$23$	$27$	$29$
$\chi_{ 3040 }(1603, a)$	$1$	$1$	$e\left(\frac{5}{24}\right)$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{7}{24}\right)$