Dirichlet character \(\chi_{6069}(1307,\cdot)\)

• Label: 6069.1307
• Modulus: $6069$
• Conductor: $6069$
• Order: $408$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6069\)
Conductor:	\(6069\)
Order:	\(408\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6069.cv

\(\chi_{6069}(26,\cdot)\) \(\chi_{6069}(59,\cdot)\) \(\chi_{6069}(185,\cdot)\) \(\chi_{6069}(206,\cdot)\) \(\chi_{6069}(236,\cdot)\) \(\chi_{6069}(257,\cdot)\) \(\chi_{6069}(332,\cdot)\) \(\chi_{6069}(383,\cdot)\) \(\chi_{6069}(416,\cdot)\) \(\chi_{6069}(467,\cdot)\) \(\chi_{6069}(542,\cdot)\) \(\chi_{6069}(563,\cdot)\) \(\chi_{6069}(593,\cdot)\) \(\chi_{6069}(614,\cdot)\) \(\chi_{6069}(689,\cdot)\) \(\chi_{6069}(740,\cdot)\) \(\chi_{6069}(773,\cdot)\) \(\chi_{6069}(824,\cdot)\) \(\chi_{6069}(899,\cdot)\) \(\chi_{6069}(920,\cdot)\) \(\chi_{6069}(950,\cdot)\) \(\chi_{6069}(971,\cdot)\) \(\chi_{6069}(1097,\cdot)\) \(\chi_{6069}(1130,\cdot)\) \(\chi_{6069}(1181,\cdot)\) \(\chi_{6069}(1256,\cdot)\) \(\chi_{6069}(1277,\cdot)\) \(\chi_{6069}(1307,\cdot)\) \(\chi_{6069}(1328,\cdot)\) \(\chi_{6069}(1403,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{408})$
Fixed field:	Number field defined by a degree 408 polynomial (not computed)

Values on generators

\((2024,4336,3760)\) → \((-1,e\left(\frac{5}{6}\right),e\left(\frac{3}{136}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(19\)	\(20\)
\( \chi_{ 6069 }(1307, a) \)	\(1\)	\(1\)	\(e\left(\frac{73}{204}\right)\)	\(e\left(\frac{73}{102}\right)\)	\(e\left(\frac{293}{408}\right)\)	\(e\left(\frac{5}{68}\right)\)	\(e\left(\frac{31}{408}\right)\)	\(e\left(\frac{139}{408}\right)\)	\(e\left(\frac{14}{17}\right)\)	\(e\left(\frac{22}{51}\right)\)	\(e\left(\frac{97}{204}\right)\)	\(e\left(\frac{59}{136}\right)\)