Dirichlet character \(\chi_{20155}(822,\cdot)\)

• Label: 20155.822
• Modulus: $20155$
• Conductor: $20155$
• Order: $1932$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(20155\)
Conductor:	\(20155\)
Order:	\(1932\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 20155.gc

\(\chi_{20155}(37,\cdot)\) \(\chi_{20155}(47,\cdot)\) \(\chi_{20155}(118,\cdot)\) \(\chi_{20155}(148,\cdot)\) \(\chi_{20155}(188,\cdot)\) \(\chi_{20155}(193,\cdot)\) \(\chi_{20155}(263,\cdot)\) \(\chi_{20155}(287,\cdot)\) \(\chi_{20155}(327,\cdot)\) \(\chi_{20155}(398,\cdot)\) \(\chi_{20155}(483,\cdot)\) \(\chi_{20155}(537,\cdot)\) \(\chi_{20155}(553,\cdot)\) \(\chi_{20155}(607,\cdot)\) \(\chi_{20155}(623,\cdot)\) \(\chi_{20155}(627,\cdot)\) \(\chi_{20155}(677,\cdot)\) \(\chi_{20155}(678,\cdot)\) \(\chi_{20155}(762,\cdot)\) \(\chi_{20155}(773,\cdot)\) \(\chi_{20155}(822,\cdot)\) \(\chi_{20155}(843,\cdot)\) \(\chi_{20155}(917,\cdot)\) \(\chi_{20155}(978,\cdot)\) \(\chi_{20155}(1042,\cdot)\) \(\chi_{20155}(1062,\cdot)\) \(\chi_{20155}(1117,\cdot)\) \(\chi_{20155}(1123,\cdot)\) \(\chi_{20155}(1163,\cdot)\) \(\chi_{20155}(1258,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{1932})$
Fixed field:	Number field defined by a degree 1932 polynomial (not computed)

Values on generators

\((4032,19461,16821)\) → \((i,e\left(\frac{23}{28}\right),e\left(\frac{56}{69}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 20155 }(822, a) \)	\(1\)	\(1\)	\(e\left(\frac{853}{966}\right)\)	\(e\left(\frac{64}{483}\right)\)	\(e\left(\frac{370}{483}\right)\)	\(e\left(\frac{5}{322}\right)\)	\(e\left(\frac{1327}{1932}\right)\)	\(e\left(\frac{209}{322}\right)\)	\(e\left(\frac{128}{483}\right)\)	\(e\left(\frac{419}{1932}\right)\)	\(e\left(\frac{62}{69}\right)\)	\(e\left(\frac{923}{1932}\right)\)