Dirichlet character χ6384(4411,⋅)\chi_{6384}(4411,\cdot)

• Label: 6384.4411
• Modulus: $6384$
• Conductor: $304$
• Order: $36$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$6384$
Conductor:	$304$
Order:	$36$
Real:	no
Primitive:	no, induced from $\chi_{304}(155,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 6384.nu

$\chi_{6384}(211,\cdot)$ $\chi_{6384}(547,\cdot)$ $\chi_{6384}(1219,\cdot)$ $\chi_{6384}(1723,\cdot)$ $\chi_{6384}(1891,\cdot)$ $\chi_{6384}(2731,\cdot)$ $\chi_{6384}(3403,\cdot)$ $\chi_{6384}(3739,\cdot)$ $\chi_{6384}(4411,\cdot)$ $\chi_{6384}(4915,\cdot)$ $\chi_{6384}(5083,\cdot)$ $\chi_{6384}(5923,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{36})$
Fixed field:	36.36.19036714782161565107424425435655777110146017378670996611401194085493506048.1

Values on generators

$(799,4789,2129,913,1009)$ → $(-1,i,1,1,e\left(\frac{13}{18}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 6384 }(4411, a)$	$1$	$1$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{1}{3}\right)$	$-i$	$e\left(\frac{8}{9}\right)$