Dirichlet character \(\chi_{4205}(452,\cdot)\)

• Label: 4205.452
• Modulus: $4205$
• Conductor: $4205$
• Order: $116$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4205\)
Conductor:	\(4205\)
Order:	\(116\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4205.y

\(\chi_{4205}(17,\cdot)\) \(\chi_{4205}(128,\cdot)\) \(\chi_{4205}(162,\cdot)\) \(\chi_{4205}(273,\cdot)\) \(\chi_{4205}(307,\cdot)\) \(\chi_{4205}(418,\cdot)\) \(\chi_{4205}(452,\cdot)\) \(\chi_{4205}(563,\cdot)\) \(\chi_{4205}(597,\cdot)\) \(\chi_{4205}(708,\cdot)\) \(\chi_{4205}(742,\cdot)\) \(\chi_{4205}(853,\cdot)\) \(\chi_{4205}(887,\cdot)\) \(\chi_{4205}(998,\cdot)\) \(\chi_{4205}(1032,\cdot)\) \(\chi_{4205}(1143,\cdot)\) \(\chi_{4205}(1177,\cdot)\) \(\chi_{4205}(1288,\cdot)\) \(\chi_{4205}(1322,\cdot)\) \(\chi_{4205}(1433,\cdot)\) \(\chi_{4205}(1467,\cdot)\) \(\chi_{4205}(1578,\cdot)\) \(\chi_{4205}(1612,\cdot)\) \(\chi_{4205}(1757,\cdot)\) \(\chi_{4205}(1868,\cdot)\) \(\chi_{4205}(1902,\cdot)\) \(\chi_{4205}(2013,\cdot)\) \(\chi_{4205}(2047,\cdot)\) \(\chi_{4205}(2158,\cdot)\) \(\chi_{4205}(2192,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{116})$
Fixed field:	Number field defined by a degree 116 polynomial (not computed)

Values on generators

\((842,3366)\) → \((i,e\left(\frac{91}{116}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 4205 }(452, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{29}\right)\)	\(e\left(\frac{1}{58}\right)\)	\(e\left(\frac{2}{29}\right)\)	\(e\left(\frac{3}{58}\right)\)	\(e\left(\frac{25}{116}\right)\)	\(e\left(\frac{3}{29}\right)\)	\(e\left(\frac{1}{29}\right)\)	\(e\left(\frac{63}{116}\right)\)	\(e\left(\frac{5}{58}\right)\)	\(e\left(\frac{9}{116}\right)\)