Dirichlet character \(\chi_{6480}(1069,\cdot)\)

• Label: 6480.1069
• 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

\((2431,1621,6401,1297)\) → \((1,-i,e\left(\frac{2}{27}\right),-1)\)

First values

\(a\)	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 6480 }(1069, a) \)	\(1\)	\(1\)	\(e\left(\frac{5}{27}\right)\)	\(e\left(\frac{77}{108}\right)\)	\(e\left(\frac{37}{108}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{22}{27}\right)\)	\(e\left(\frac{107}{108}\right)\)	\(e\left(\frac{13}{27}\right)\)	\(e\left(\frac{13}{36}\right)\)	\(e\left(\frac{23}{54}\right)\)