Dirichlet character \(\chi_{2023}(846,\cdot)\)

• Label: 2023.846
• Modulus: $2023$
• Conductor: $2023$
• Order: $68$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2023\)
Conductor:	\(2023\)
Order:	\(68\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2023.ba

\(\chi_{2023}(13,\cdot)\) \(\chi_{2023}(55,\cdot)\) \(\chi_{2023}(132,\cdot)\) \(\chi_{2023}(174,\cdot)\) \(\chi_{2023}(293,\cdot)\) \(\chi_{2023}(370,\cdot)\) \(\chi_{2023}(412,\cdot)\) \(\chi_{2023}(489,\cdot)\) \(\chi_{2023}(531,\cdot)\) \(\chi_{2023}(608,\cdot)\) \(\chi_{2023}(650,\cdot)\) \(\chi_{2023}(727,\cdot)\) \(\chi_{2023}(769,\cdot)\) \(\chi_{2023}(846,\cdot)\) \(\chi_{2023}(888,\cdot)\) \(\chi_{2023}(965,\cdot)\) \(\chi_{2023}(1007,\cdot)\) \(\chi_{2023}(1084,\cdot)\) \(\chi_{2023}(1126,\cdot)\) \(\chi_{2023}(1203,\cdot)\) \(\chi_{2023}(1245,\cdot)\) \(\chi_{2023}(1322,\cdot)\) \(\chi_{2023}(1364,\cdot)\) \(\chi_{2023}(1441,\cdot)\) \(\chi_{2023}(1560,\cdot)\) \(\chi_{2023}(1602,\cdot)\) \(\chi_{2023}(1679,\cdot)\) \(\chi_{2023}(1721,\cdot)\) \(\chi_{2023}(1798,\cdot)\) \(\chi_{2023}(1840,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{68})$
Fixed field:	Number field defined by a degree 68 polynomial

Values on generators

\((290,1737)\) → \((-1,e\left(\frac{5}{68}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 2023 }(846, a) \)	\(-1\)	\(1\)	\(e\left(\frac{33}{34}\right)\)	\(e\left(\frac{39}{68}\right)\)	\(e\left(\frac{16}{17}\right)\)	\(e\left(\frac{23}{68}\right)\)	\(e\left(\frac{37}{68}\right)\)	\(e\left(\frac{31}{34}\right)\)	\(e\left(\frac{5}{34}\right)\)	\(e\left(\frac{21}{68}\right)\)	\(e\left(\frac{47}{68}\right)\)	\(e\left(\frac{35}{68}\right)\)