Dirichlet character \(\chi_{2793}(1241,\cdot)\)

• Label: 2793.1241
• Modulus: $2793$
• Conductor: $2793$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2793\)
Conductor:	\(2793\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2793.ei

\(\chi_{2793}(23,\cdot)\) \(\chi_{2793}(44,\cdot)\) \(\chi_{2793}(74,\cdot)\) \(\chi_{2793}(347,\cdot)\) \(\chi_{2793}(443,\cdot)\) \(\chi_{2793}(473,\cdot)\) \(\chi_{2793}(662,\cdot)\) \(\chi_{2793}(674,\cdot)\) \(\chi_{2793}(746,\cdot)\) \(\chi_{2793}(821,\cdot)\) \(\chi_{2793}(842,\cdot)\) \(\chi_{2793}(872,\cdot)\) \(\chi_{2793}(1061,\cdot)\) \(\chi_{2793}(1073,\cdot)\) \(\chi_{2793}(1220,\cdot)\) \(\chi_{2793}(1241,\cdot)\) \(\chi_{2793}(1271,\cdot)\) \(\chi_{2793}(1460,\cdot)\) \(\chi_{2793}(1472,\cdot)\) \(\chi_{2793}(1544,\cdot)\) \(\chi_{2793}(1619,\cdot)\) \(\chi_{2793}(1640,\cdot)\) \(\chi_{2793}(1670,\cdot)\) \(\chi_{2793}(1859,\cdot)\) \(\chi_{2793}(1871,\cdot)\) \(\chi_{2793}(1943,\cdot)\) \(\chi_{2793}(2018,\cdot)\) \(\chi_{2793}(2069,\cdot)\) \(\chi_{2793}(2258,\cdot)\) \(\chi_{2793}(2270,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

\((932,2110,2206)\) → \((-1,e\left(\frac{10}{21}\right),e\left(\frac{7}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(20\)
\( \chi_{ 2793 }(1241, a) \)	\(-1\)	\(1\)	\(e\left(\frac{83}{126}\right)\)	\(e\left(\frac{20}{63}\right)\)	\(e\left(\frac{95}{126}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{38}{63}\right)\)	\(e\left(\frac{40}{63}\right)\)	\(e\left(\frac{23}{126}\right)\)	\(e\left(\frac{1}{14}\right)\)