Dirichlet character χ6480(2029,⋅)\chi_{6480}(2029,\cdot)

• Label: 6480.2029
• Modulus: $6480$
• Conductor: $6480$
• Order: $108$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$6480$
Conductor:	$6480$
Order:	$108$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6480.fs

$\chi_{6480}(229,\cdot)$ $\chi_{6480}(349,\cdot)$ $\chi_{6480}(589,\cdot)$ $\chi_{6480}(709,\cdot)$ $\chi_{6480}(949,\cdot)$ $\chi_{6480}(1069,\cdot)$ $\chi_{6480}(1309,\cdot)$ $\chi_{6480}(1429,\cdot)$ $\chi_{6480}(1669,\cdot)$ $\chi_{6480}(1789,\cdot)$ $\chi_{6480}(2029,\cdot)$ $\chi_{6480}(2149,\cdot)$ $\chi_{6480}(2389,\cdot)$ $\chi_{6480}(2509,\cdot)$ $\chi_{6480}(2749,\cdot)$ $\chi_{6480}(2869,\cdot)$ $\chi_{6480}(3109,\cdot)$ $\chi_{6480}(3229,\cdot)$ $\chi_{6480}(3469,\cdot)$ $\chi_{6480}(3589,\cdot)$ $\chi_{6480}(3829,\cdot)$ $\chi_{6480}(3949,\cdot)$ $\chi_{6480}(4189,\cdot)$ $\chi_{6480}(4309,\cdot)$ $\chi_{6480}(4549,\cdot)$ $\chi_{6480}(4669,\cdot)$ $\chi_{6480}(4909,\cdot)$ $\chi_{6480}(5029,\cdot)$ $\chi_{6480}(5269,\cdot)$ $\chi_{6480}(5389,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{108})$
Fixed field:	Number field defined by a degree 108 polynomial (not computed)

Values on generators

$(2431,1621,6401,1297)$ → $(1,-i,e\left(\frac{1}{27}\right),-1)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 6480 }(2029, a)$	$1$	$1$	$e\left(\frac{16}{27}\right)$	$e\left(\frac{25}{108}\right)$	$e\left(\frac{5}{108}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{11}{27}\right)$	$e\left(\frac{67}{108}\right)$	$e\left(\frac{20}{27}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{25}{54}\right)$