Dirichlet character \(\chi_{8041}(1305,\cdot)\)

• Label: 8041.1305
• Modulus: $8041$
• Conductor: $8041$
• Order: $420$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(8041\)
Conductor:	\(8041\)
Order:	\(420\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 8041.fr

\(\chi_{8041}(13,\cdot)\) \(\chi_{8041}(310,\cdot)\) \(\chi_{8041}(404,\cdot)\) \(\chi_{8041}(497,\cdot)\) \(\chi_{8041}(574,\cdot)\) \(\chi_{8041}(633,\cdot)\) \(\chi_{8041}(701,\cdot)\) \(\chi_{8041}(744,\cdot)\) \(\chi_{8041}(1041,\cdot)\) \(\chi_{8041}(1084,\cdot)\) \(\chi_{8041}(1135,\cdot)\) \(\chi_{8041}(1228,\cdot)\) \(\chi_{8041}(1262,\cdot)\) \(\chi_{8041}(1271,\cdot)\) \(\chi_{8041}(1305,\cdot)\) \(\chi_{8041}(1432,\cdot)\) \(\chi_{8041}(1823,\cdot)\) \(\chi_{8041}(1866,\cdot)\) \(\chi_{8041}(1993,\cdot)\) \(\chi_{8041}(2087,\cdot)\) \(\chi_{8041}(2163,\cdot)\) \(\chi_{8041}(2206,\cdot)\) \(\chi_{8041}(2274,\cdot)\) \(\chi_{8041}(2461,\cdot)\) \(\chi_{8041}(2503,\cdot)\) \(\chi_{8041}(2554,\cdot)\) \(\chi_{8041}(2648,\cdot)\) \(\chi_{8041}(2690,\cdot)\) \(\chi_{8041}(2724,\cdot)\) \(\chi_{8041}(2767,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{420})$
Fixed field:	Number field defined by a degree 420 polynomial (not computed)

Values on generators

\((6580,2366,562)\) → \((e\left(\frac{7}{10}\right),i,e\left(\frac{13}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 8041 }(1305, a) \)	\(-1\)	\(1\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{197}{420}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{221}{420}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{197}{210}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{25}{84}\right)\)